22.969 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.092 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.094 * [simplify]: Simplifying using # : (- (cos (+ x eps)) (cos x)) 0.095 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.096 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.097 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.098 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.098 * [simplify]: Simplified to: (- (cos (+ x eps)) (cos x)) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.100 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.113 * * * [progress]: generating rewritten candidates 0.113 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.118 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.125 * * * [progress]: generating series expansions 0.126 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.126 * [approximate]: Taking taylor expansion of (cos (+ x eps)) in (x eps) around 0 0.126 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in eps 0.126 * [taylor]: Taking taylor expansion of (+ x eps) in eps 0.126 * [taylor]: Taking taylor expansion of x in eps 0.126 * [taylor]: Taking taylor expansion of eps in eps 0.126 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.126 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of eps in x 0.126 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.126 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of eps in x 0.127 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.127 * [taylor]: Taking taylor expansion of eps in eps 0.129 * [taylor]: Taking taylor expansion of (- (sin eps)) in eps 0.129 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.129 * [taylor]: Taking taylor expansion of eps in eps 0.132 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos eps))) in eps 0.132 * [taylor]: Taking taylor expansion of (* 1/2 (cos eps)) in eps 0.132 * [taylor]: Taking taylor expansion of 1/2 in eps 0.132 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.132 * [taylor]: Taking taylor expansion of eps in eps 0.133 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in (x eps) around 0 0.133 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.133 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.133 * [taylor]: Taking taylor expansion of eps in eps 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.134 * [taylor]: Taking taylor expansion of x in eps 0.134 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.134 * [taylor]: Taking taylor expansion of eps in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.135 * [taylor]: Taking taylor expansion of eps in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.136 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.136 * [taylor]: Taking taylor expansion of eps in eps 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.136 * [taylor]: Taking taylor expansion of x in eps 0.136 * [taylor]: Taking taylor expansion of 0 in eps 0.136 * [taylor]: Taking taylor expansion of 0 in eps 0.136 * [taylor]: Taking taylor expansion of 0 in eps 0.137 * [approximate]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in (x eps) around 0 0.137 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.137 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.137 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.137 * [taylor]: Taking taylor expansion of eps in eps 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.137 * [taylor]: Taking taylor expansion of x in eps 0.138 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in x 0.138 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.138 * [taylor]: Taking taylor expansion of eps in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in x 0.139 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.139 * [taylor]: Taking taylor expansion of eps in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.140 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.140 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.140 * [taylor]: Taking taylor expansion of eps in eps 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.140 * [taylor]: Taking taylor expansion of x in eps 0.141 * [taylor]: Taking taylor expansion of 0 in eps 0.141 * [taylor]: Taking taylor expansion of 0 in eps 0.141 * [taylor]: Taking taylor expansion of 0 in eps 0.141 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.141 * [approximate]: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in (x eps) around 0 0.141 * [taylor]: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in eps 0.141 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in eps 0.141 * [taylor]: Taking taylor expansion of (+ x eps) in eps 0.141 * [taylor]: Taking taylor expansion of x in eps 0.141 * [taylor]: Taking taylor expansion of eps in eps 0.141 * [taylor]: Taking taylor expansion of (cos x) in eps 0.141 * [taylor]: Taking taylor expansion of x in eps 0.141 * [taylor]: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in x 0.141 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.141 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of eps in x 0.141 * [taylor]: Taking taylor expansion of (cos x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in x 0.141 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.141 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of eps in x 0.142 * [taylor]: Taking taylor expansion of (cos x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in eps 0.142 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.142 * [taylor]: Taking taylor expansion of eps in eps 0.142 * [taylor]: Taking taylor expansion of 1 in eps 0.145 * [taylor]: Taking taylor expansion of (- (sin eps)) in eps 0.145 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.145 * [taylor]: Taking taylor expansion of eps in eps 0.149 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (cos eps))) in eps 0.149 * [taylor]: Taking taylor expansion of 1/2 in eps 0.149 * [taylor]: Taking taylor expansion of (* 1/2 (cos eps)) in eps 0.149 * [taylor]: Taking taylor expansion of 1/2 in eps 0.149 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.149 * [taylor]: Taking taylor expansion of eps in eps 0.155 * [taylor]: Taking taylor expansion of (* 1/6 (sin eps)) in eps 0.155 * [taylor]: Taking taylor expansion of 1/6 in eps 0.155 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.155 * [taylor]: Taking taylor expansion of eps in eps 0.164 * [taylor]: Taking taylor expansion of (- (* 1/24 (cos eps)) 1/24) in eps 0.164 * [taylor]: Taking taylor expansion of (* 1/24 (cos eps)) in eps 0.164 * [taylor]: Taking taylor expansion of 1/24 in eps 0.164 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.164 * [taylor]: Taking taylor expansion of eps in eps 0.164 * [taylor]: Taking taylor expansion of 1/24 in eps 0.166 * [approximate]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in (x eps) around 0 0.166 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in eps 0.166 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.166 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.166 * [taylor]: Taking taylor expansion of eps in eps 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.166 * [taylor]: Taking taylor expansion of x in eps 0.167 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.167 * [taylor]: Taking taylor expansion of x in eps 0.167 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in x 0.167 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in x 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.167 * [taylor]: Taking taylor expansion of eps in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.168 * [taylor]: Taking taylor expansion of eps in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in eps 0.169 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.169 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.169 * [taylor]: Taking taylor expansion of eps in eps 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.169 * [taylor]: Taking taylor expansion of x in eps 0.170 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.170 * [taylor]: Taking taylor expansion of x in eps 0.171 * [taylor]: Taking taylor expansion of 0 in eps 0.174 * [taylor]: Taking taylor expansion of 0 in eps 0.177 * [taylor]: Taking taylor expansion of 0 in eps 0.177 * [approximate]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in (x eps) around 0 0.177 * [taylor]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in eps 0.177 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.177 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.177 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.177 * [taylor]: Taking taylor expansion of eps in eps 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.177 * [taylor]: Taking taylor expansion of x in eps 0.178 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.178 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.178 * [taylor]: Taking taylor expansion of -1 in eps 0.178 * [taylor]: Taking taylor expansion of x in eps 0.178 * [taylor]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in x 0.178 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in x 0.178 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.178 * [taylor]: Taking taylor expansion of eps in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in x 0.180 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in x 0.180 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.180 * [taylor]: Taking taylor expansion of eps in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.181 * [taylor]: Taking taylor expansion of -1 in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in eps 0.181 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.181 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.181 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.181 * [taylor]: Taking taylor expansion of eps in eps 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.182 * [taylor]: Taking taylor expansion of x in eps 0.182 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.182 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.182 * [taylor]: Taking taylor expansion of -1 in eps 0.182 * [taylor]: Taking taylor expansion of x in eps 0.183 * [taylor]: Taking taylor expansion of 0 in eps 0.186 * [taylor]: Taking taylor expansion of 0 in eps 0.190 * [taylor]: Taking taylor expansion of 0 in eps 0.190 * * * [progress]: simplifying candidates 0.191 * [simplify]: Simplifying using # : (* (cos x) (cos eps)) (* (sin x) (sin eps)) (log (cos (+ x eps))) (exp (cos (+ x eps))) (* (cbrt (cos (+ x eps))) (cbrt (cos (+ x eps)))) (cbrt (cos (+ x eps))) (* (* (cos (+ x eps)) (cos (+ x eps))) (cos (+ x eps))) (sqrt (cos (+ x eps))) (sqrt (cos (+ x eps))) (* (sin (/ (- (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (/ (exp (cos (+ x eps))) (exp (cos x))) (log (- (cos (+ x eps)) (cos x))) (exp (- (cos (+ x eps)) (cos x))) (* (cbrt (- (cos (+ x eps)) (cos x))) (cbrt (- (cos (+ x eps)) (cos x)))) (cbrt (- (cos (+ x eps)) (cos x))) (* (* (- (cos (+ x eps)) (cos x)) (- (cos (+ x eps)) (cos x))) (- (cos (+ x eps)) (cos x))) (sqrt (- (cos (+ x eps)) (cos x))) (sqrt (- (cos (+ x eps)) (cos x))) (- (pow (cos (+ x eps)) 3) (pow (cos x) 3)) (+ (* (cos (+ x eps)) (cos (+ x eps))) (+ (* (cos x) (cos x)) (* (cos (+ x eps)) (cos x)))) (- (cos x)) (- (* (cos (+ x eps)) (cos (+ x eps))) (* (cos x) (cos x))) (+ (cos (+ x eps)) (cos x)) (+ (sqrt (cos (+ x eps))) (sqrt (cos x))) (- (sqrt (cos (+ x eps))) (sqrt (cos x))) (- (cos (+ x eps)) (cos x)) (+ (* (sin x) (sin eps)) (cos x)) (- (cos x)) (- 1 (+ (* x eps) (* 1/2 (pow x 2)))) (cos (+ x eps)) (cos (+ x eps)) (- (* 1/6 (* (pow x 3) eps)) (+ (* x eps) (* 1/2 (pow eps 2)))) (- (cos (+ x eps)) (cos x)) (- (cos (+ x eps)) (cos x)) 0.193 * * [simplify]: iteration 0 : 65 enodes (cost 311 ) 0.208 * * [simplify]: iteration 1 : 134 enodes (cost 299 ) 0.232 * * [simplify]: iteration 2 : 274 enodes (cost 283 ) 0.289 * * [simplify]: iteration 3 : 590 enodes (cost 275 ) 0.595 * * [simplify]: iteration 4 : 1492 enodes (cost 273 ) 1.353 * * [simplify]: iteration 5 : 4153 enodes (cost 273 ) 2.605 * * [simplify]: iteration done : 5001 enodes (cost 273 ) 2.605 * [simplify]: Simplified to: (* (cos x) (cos eps)) (* (sin x) (sin eps)) (log (cos (+ x eps))) (exp (cos (+ x eps))) (* (cbrt (cos (+ x eps))) (cbrt (cos (+ x eps)))) (cbrt (cos (+ x eps))) (pow (cos (+ x eps)) 3) (sqrt (cos (+ x eps))) (sqrt (cos (+ x eps))) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) (exp (- (cos (+ x eps)) (cos x))) (log (- (cos (+ x eps)) (cos x))) (exp (- (cos (+ x eps)) (cos x))) (* (cbrt (- (cos (+ x eps)) (cos x))) (cbrt (- (cos (+ x eps)) (cos x)))) (cbrt (- (cos (+ x eps)) (cos x))) (pow (- (cos (+ x eps)) (cos x)) 3) (sqrt (- (cos (+ x eps)) (cos x))) (sqrt (- (cos (+ x eps)) (cos x))) (- (pow (cos (+ x eps)) 3) (pow (cos x) 3)) (+ (* (+ (cos (+ x eps)) (cos x)) (cos (+ x eps))) (* (cos x) (cos x))) (- (cos x)) (- (* (cos (+ x eps)) (cos (+ x eps))) (* (cos x) (cos x))) (+ (cos (+ x eps)) (cos x)) (+ (sqrt (cos (+ x eps))) (sqrt (cos x))) (- (sqrt (cos (+ x eps))) (sqrt (cos x))) (- (cos (+ x eps)) (cos x)) (+ (* (sin x) (sin eps)) (cos x)) (- (cos x)) (- 1 (* x (+ (* 1/2 x) eps))) (cos (+ x eps)) (cos (+ x eps)) (* eps (- (- (* 1/6 (pow x 3)) x) (* eps 1/2))) (- (cos (+ x eps)) (cos x)) (- (cos (+ x eps)) (cos x)) 2.605 * * * [progress]: adding candidates to table 2.671 * * [progress]: iteration 2 / 4 2.671 * * * [progress]: picking best candidate 2.686 * * * * [pick]: Picked # 2.686 * * * [progress]: localizing error 2.699 * * * [progress]: generating rewritten candidates 2.699 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.721 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.768 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 2.782 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.823 * * * [progress]: generating series expansions 2.823 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.823 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0 2.823 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 2.823 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 2.823 * [taylor]: Taking taylor expansion of 1/2 in eps 2.823 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 2.823 * [taylor]: Taking taylor expansion of (* 2 x) in eps 2.823 * [taylor]: Taking taylor expansion of 2 in eps 2.823 * [taylor]: Taking taylor expansion of x in eps 2.823 * [taylor]: Taking taylor expansion of eps in eps 2.823 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 2.823 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 2.823 * [taylor]: Taking taylor expansion of 1/2 in x 2.823 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 2.824 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.824 * [taylor]: Taking taylor expansion of 2 in x 2.824 * [taylor]: Taking taylor expansion of x in x 2.824 * [taylor]: Taking taylor expansion of eps in x 2.824 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 2.824 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 2.824 * [taylor]: Taking taylor expansion of 1/2 in x 2.824 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 2.824 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.824 * [taylor]: Taking taylor expansion of 2 in x 2.824 * [taylor]: Taking taylor expansion of x in x 2.824 * [taylor]: Taking taylor expansion of eps in x 2.825 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 2.825 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 2.825 * [taylor]: Taking taylor expansion of 1/2 in eps 2.825 * [taylor]: Taking taylor expansion of eps in eps 2.828 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 2.828 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 2.828 * [taylor]: Taking taylor expansion of 1/2 in eps 2.828 * [taylor]: Taking taylor expansion of eps in eps 2.832 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps 2.832 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps 2.832 * [taylor]: Taking taylor expansion of 1/2 in eps 2.832 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 2.832 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 2.832 * [taylor]: Taking taylor expansion of 1/2 in eps 2.832 * [taylor]: Taking taylor expansion of eps in eps 2.838 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps 2.839 * [taylor]: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps 2.839 * [taylor]: Taking taylor expansion of 1/6 in eps 2.839 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 2.839 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 2.839 * [taylor]: Taking taylor expansion of 1/2 in eps 2.839 * [taylor]: Taking taylor expansion of eps in eps 2.840 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 2.840 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.840 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.840 * [taylor]: Taking taylor expansion of 1/2 in eps 2.840 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.840 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.840 * [taylor]: Taking taylor expansion of eps in eps 2.840 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.841 * [taylor]: Taking taylor expansion of 2 in eps 2.841 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.841 * [taylor]: Taking taylor expansion of x in eps 2.841 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.841 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.841 * [taylor]: Taking taylor expansion of 1/2 in x 2.841 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.841 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.841 * [taylor]: Taking taylor expansion of eps in x 2.841 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.841 * [taylor]: Taking taylor expansion of 2 in x 2.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.841 * [taylor]: Taking taylor expansion of x in x 2.842 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.842 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.842 * [taylor]: Taking taylor expansion of 1/2 in x 2.842 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.843 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.843 * [taylor]: Taking taylor expansion of eps in x 2.843 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.843 * [taylor]: Taking taylor expansion of 2 in x 2.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.844 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.844 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.844 * [taylor]: Taking taylor expansion of 1/2 in eps 2.844 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.844 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.844 * [taylor]: Taking taylor expansion of eps in eps 2.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.844 * [taylor]: Taking taylor expansion of 2 in eps 2.844 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.844 * [taylor]: Taking taylor expansion of x in eps 2.845 * [taylor]: Taking taylor expansion of 0 in eps 2.845 * [taylor]: Taking taylor expansion of 0 in eps 2.845 * [taylor]: Taking taylor expansion of 0 in eps 2.845 * [approximate]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 2.846 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.846 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.846 * [taylor]: Taking taylor expansion of -1/2 in eps 2.846 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.846 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.846 * [taylor]: Taking taylor expansion of eps in eps 2.846 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.846 * [taylor]: Taking taylor expansion of 2 in eps 2.846 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.846 * [taylor]: Taking taylor expansion of x in eps 2.847 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.847 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.847 * [taylor]: Taking taylor expansion of -1/2 in x 2.847 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.847 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.847 * [taylor]: Taking taylor expansion of eps in x 2.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.847 * [taylor]: Taking taylor expansion of 2 in x 2.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.847 * [taylor]: Taking taylor expansion of x in x 2.848 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.848 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.848 * [taylor]: Taking taylor expansion of -1/2 in x 2.848 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.848 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.848 * [taylor]: Taking taylor expansion of eps in x 2.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.848 * [taylor]: Taking taylor expansion of 2 in x 2.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.848 * [taylor]: Taking taylor expansion of x in x 2.849 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.849 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.849 * [taylor]: Taking taylor expansion of -1/2 in eps 2.849 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.849 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.849 * [taylor]: Taking taylor expansion of eps in eps 2.850 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.850 * [taylor]: Taking taylor expansion of 2 in eps 2.850 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.850 * [taylor]: Taking taylor expansion of x in eps 2.850 * [taylor]: Taking taylor expansion of 0 in eps 2.850 * [taylor]: Taking taylor expansion of 0 in eps 2.850 * [taylor]: Taking taylor expansion of 0 in eps 2.851 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.851 * [approximate]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in (eps x) around 0 2.851 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in x 2.851 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 2.851 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 2.851 * [taylor]: Taking taylor expansion of 1/2 in x 2.851 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 2.851 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.851 * [taylor]: Taking taylor expansion of 2 in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.851 * [taylor]: Taking taylor expansion of eps in x 2.852 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in x 2.852 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x 2.852 * [taylor]: Taking taylor expansion of 1/2 in x 2.852 * [taylor]: Taking taylor expansion of eps in x 2.852 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 2.852 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 2.852 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 2.852 * [taylor]: Taking taylor expansion of 1/2 in eps 2.852 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 2.852 * [taylor]: Taking taylor expansion of (* 2 x) in eps 2.852 * [taylor]: Taking taylor expansion of 2 in eps 2.852 * [taylor]: Taking taylor expansion of x in eps 2.852 * [taylor]: Taking taylor expansion of eps in eps 2.852 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 2.852 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 2.852 * [taylor]: Taking taylor expansion of 1/2 in eps 2.852 * [taylor]: Taking taylor expansion of eps in eps 2.853 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 2.853 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 2.853 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 2.853 * [taylor]: Taking taylor expansion of 1/2 in eps 2.853 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 2.853 * [taylor]: Taking taylor expansion of (* 2 x) in eps 2.853 * [taylor]: Taking taylor expansion of 2 in eps 2.853 * [taylor]: Taking taylor expansion of x in eps 2.853 * [taylor]: Taking taylor expansion of eps in eps 2.853 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 2.853 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 2.853 * [taylor]: Taking taylor expansion of 1/2 in eps 2.853 * [taylor]: Taking taylor expansion of eps in eps 2.854 * [taylor]: Taking taylor expansion of 0 in x 2.856 * [taylor]: Taking taylor expansion of (* 1/2 (sin x)) in x 2.856 * [taylor]: Taking taylor expansion of 1/2 in x 2.856 * [taylor]: Taking taylor expansion of (sin x) in x 2.856 * [taylor]: Taking taylor expansion of x in x 2.861 * [taylor]: Taking taylor expansion of (* 1/4 (cos x)) in x 2.861 * [taylor]: Taking taylor expansion of 1/4 in x 2.861 * [taylor]: Taking taylor expansion of (cos x) in x 2.861 * [taylor]: Taking taylor expansion of x in x 2.868 * [taylor]: Taking taylor expansion of (- (* 1/12 (sin x))) in x 2.868 * [taylor]: Taking taylor expansion of (* 1/12 (sin x)) in x 2.868 * [taylor]: Taking taylor expansion of 1/12 in x 2.868 * [taylor]: Taking taylor expansion of (sin x) in x 2.868 * [taylor]: Taking taylor expansion of x in x 2.878 * [taylor]: Taking taylor expansion of (- (* 1/48 (cos x))) in x 2.878 * [taylor]: Taking taylor expansion of (* 1/48 (cos x)) in x 2.878 * [taylor]: Taking taylor expansion of 1/48 in x 2.878 * [taylor]: Taking taylor expansion of (cos x) in x 2.878 * [taylor]: Taking taylor expansion of x in x 2.879 * [approximate]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in (eps x) around 0 2.879 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 2.879 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 2.879 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 2.879 * [taylor]: Taking taylor expansion of 1/2 in x 2.879 * [taylor]: Taking taylor expansion of eps in x 2.879 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.879 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.879 * [taylor]: Taking taylor expansion of 1/2 in x 2.879 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.879 * [taylor]: Taking taylor expansion of eps in x 2.879 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.879 * [taylor]: Taking taylor expansion of 2 in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.880 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 2.880 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 2.880 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 2.880 * [taylor]: Taking taylor expansion of 1/2 in eps 2.880 * [taylor]: Taking taylor expansion of eps in eps 2.881 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.881 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.881 * [taylor]: Taking taylor expansion of 1/2 in eps 2.881 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.881 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.881 * [taylor]: Taking taylor expansion of eps in eps 2.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.881 * [taylor]: Taking taylor expansion of 2 in eps 2.881 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.881 * [taylor]: Taking taylor expansion of x in eps 2.882 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 2.882 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 2.882 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 2.882 * [taylor]: Taking taylor expansion of 1/2 in eps 2.882 * [taylor]: Taking taylor expansion of eps in eps 2.882 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.882 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.882 * [taylor]: Taking taylor expansion of 1/2 in eps 2.882 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.882 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.882 * [taylor]: Taking taylor expansion of eps in eps 2.883 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.883 * [taylor]: Taking taylor expansion of 2 in eps 2.883 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.883 * [taylor]: Taking taylor expansion of x in eps 2.884 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 2.884 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 2.884 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 2.884 * [taylor]: Taking taylor expansion of 1/2 in x 2.884 * [taylor]: Taking taylor expansion of eps in x 2.884 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.884 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.884 * [taylor]: Taking taylor expansion of 1/2 in x 2.884 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.884 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.884 * [taylor]: Taking taylor expansion of eps in x 2.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.884 * [taylor]: Taking taylor expansion of 2 in x 2.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.884 * [taylor]: Taking taylor expansion of x in x 2.885 * [taylor]: Taking taylor expansion of 0 in x 2.888 * [taylor]: Taking taylor expansion of 0 in x 2.891 * [taylor]: Taking taylor expansion of 0 in x 2.891 * [approximate]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in (eps x) around 0 2.891 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 2.891 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 2.891 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 2.891 * [taylor]: Taking taylor expansion of -1/2 in x 2.891 * [taylor]: Taking taylor expansion of eps in x 2.891 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.891 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.891 * [taylor]: Taking taylor expansion of -1/2 in x 2.891 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.891 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.891 * [taylor]: Taking taylor expansion of eps in x 2.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.891 * [taylor]: Taking taylor expansion of 2 in x 2.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.892 * [taylor]: Taking taylor expansion of x in x 2.893 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 2.893 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 2.893 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 2.893 * [taylor]: Taking taylor expansion of -1/2 in eps 2.893 * [taylor]: Taking taylor expansion of eps in eps 2.893 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.893 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.893 * [taylor]: Taking taylor expansion of -1/2 in eps 2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.893 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.893 * [taylor]: Taking taylor expansion of eps in eps 2.893 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.893 * [taylor]: Taking taylor expansion of 2 in eps 2.893 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.893 * [taylor]: Taking taylor expansion of x in eps 2.894 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 2.894 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 2.894 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 2.894 * [taylor]: Taking taylor expansion of -1/2 in eps 2.894 * [taylor]: Taking taylor expansion of eps in eps 2.894 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.895 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.895 * [taylor]: Taking taylor expansion of -1/2 in eps 2.895 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.895 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.895 * [taylor]: Taking taylor expansion of eps in eps 2.895 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.895 * [taylor]: Taking taylor expansion of 2 in eps 2.895 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.895 * [taylor]: Taking taylor expansion of x in eps 2.896 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 2.896 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 2.896 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 2.896 * [taylor]: Taking taylor expansion of -1/2 in x 2.896 * [taylor]: Taking taylor expansion of eps in x 2.896 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.896 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.896 * [taylor]: Taking taylor expansion of -1/2 in x 2.896 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.896 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.896 * [taylor]: Taking taylor expansion of eps in x 2.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.896 * [taylor]: Taking taylor expansion of 2 in x 2.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.896 * [taylor]: Taking taylor expansion of x in x 2.898 * [taylor]: Taking taylor expansion of 0 in x 2.900 * [taylor]: Taking taylor expansion of 0 in x 2.908 * [taylor]: Taking taylor expansion of 0 in x 2.908 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 2.908 * [approximate]: Taking taylor expansion of (+ (* 2 x) eps) in (x eps) around 0 2.908 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 2.908 * [taylor]: Taking taylor expansion of (* 2 x) in eps 2.908 * [taylor]: Taking taylor expansion of 2 in eps 2.908 * [taylor]: Taking taylor expansion of x in eps 2.908 * [taylor]: Taking taylor expansion of eps in eps 2.908 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 2.908 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.908 * [taylor]: Taking taylor expansion of 2 in x 2.908 * [taylor]: Taking taylor expansion of x in x 2.909 * [taylor]: Taking taylor expansion of eps in x 2.909 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 2.909 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.909 * [taylor]: Taking taylor expansion of 2 in x 2.909 * [taylor]: Taking taylor expansion of x in x 2.909 * [taylor]: Taking taylor expansion of eps in x 2.909 * [taylor]: Taking taylor expansion of eps in eps 2.910 * [taylor]: Taking taylor expansion of 2 in eps 2.910 * [taylor]: Taking taylor expansion of 0 in eps 2.911 * [taylor]: Taking taylor expansion of 0 in eps 2.912 * [approximate]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in (x eps) around 0 2.912 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.912 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.912 * [taylor]: Taking taylor expansion of eps in eps 2.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.912 * [taylor]: Taking taylor expansion of 2 in eps 2.912 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.912 * [taylor]: Taking taylor expansion of x in eps 2.912 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.912 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.912 * [taylor]: Taking taylor expansion of eps in x 2.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.912 * [taylor]: Taking taylor expansion of 2 in x 2.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.912 * [taylor]: Taking taylor expansion of x in x 2.912 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.912 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.912 * [taylor]: Taking taylor expansion of eps in x 2.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.913 * [taylor]: Taking taylor expansion of 2 in x 2.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.913 * [taylor]: Taking taylor expansion of 2 in eps 2.914 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.914 * [taylor]: Taking taylor expansion of eps in eps 2.916 * [taylor]: Taking taylor expansion of 0 in eps 2.918 * [taylor]: Taking taylor expansion of 0 in eps 2.919 * [taylor]: Taking taylor expansion of 0 in eps 2.920 * [approximate]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in (x eps) around 0 2.920 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.920 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.920 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.920 * [taylor]: Taking taylor expansion of eps in eps 2.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.920 * [taylor]: Taking taylor expansion of 2 in eps 2.920 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.920 * [taylor]: Taking taylor expansion of x in eps 2.920 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.920 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.920 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.920 * [taylor]: Taking taylor expansion of eps in x 2.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.920 * [taylor]: Taking taylor expansion of 2 in x 2.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.920 * [taylor]: Taking taylor expansion of x in x 2.921 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.921 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.921 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.921 * [taylor]: Taking taylor expansion of eps in x 2.921 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.921 * [taylor]: Taking taylor expansion of 2 in x 2.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.921 * [taylor]: Taking taylor expansion of x in x 2.922 * [taylor]: Taking taylor expansion of -2 in eps 2.923 * [taylor]: Taking taylor expansion of (- (/ 1 eps)) in eps 2.923 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.923 * [taylor]: Taking taylor expansion of eps in eps 2.925 * [taylor]: Taking taylor expansion of 0 in eps 2.927 * [taylor]: Taking taylor expansion of 0 in eps 2.929 * [taylor]: Taking taylor expansion of 0 in eps 2.929 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.930 * [approximate]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in (eps x) around 0 2.930 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in x 2.930 * [taylor]: Taking taylor expansion of -2 in x 2.930 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in x 2.930 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 2.930 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 2.930 * [taylor]: Taking taylor expansion of 1/2 in x 2.930 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 2.930 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.930 * [taylor]: Taking taylor expansion of 2 in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [taylor]: Taking taylor expansion of eps in x 2.930 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in x 2.930 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x 2.930 * [taylor]: Taking taylor expansion of 1/2 in x 2.930 * [taylor]: Taking taylor expansion of eps in x 2.930 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in eps 2.930 * [taylor]: Taking taylor expansion of -2 in eps 2.930 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 2.930 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 2.930 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 2.930 * [taylor]: Taking taylor expansion of 1/2 in eps 2.930 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 2.930 * [taylor]: Taking taylor expansion of (* 2 x) in eps 2.930 * [taylor]: Taking taylor expansion of 2 in eps 2.930 * [taylor]: Taking taylor expansion of x in eps 2.931 * [taylor]: Taking taylor expansion of eps in eps 2.931 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 2.931 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 2.931 * [taylor]: Taking taylor expansion of 1/2 in eps 2.931 * [taylor]: Taking taylor expansion of eps in eps 2.931 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in eps 2.931 * [taylor]: Taking taylor expansion of -2 in eps 2.931 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 2.931 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 2.931 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 2.931 * [taylor]: Taking taylor expansion of 1/2 in eps 2.931 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 2.931 * [taylor]: Taking taylor expansion of (* 2 x) in eps 2.932 * [taylor]: Taking taylor expansion of 2 in eps 2.932 * [taylor]: Taking taylor expansion of x in eps 2.932 * [taylor]: Taking taylor expansion of eps in eps 2.932 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 2.932 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 2.932 * [taylor]: Taking taylor expansion of 1/2 in eps 2.932 * [taylor]: Taking taylor expansion of eps in eps 2.933 * [taylor]: Taking taylor expansion of 0 in x 2.936 * [taylor]: Taking taylor expansion of (- (sin x)) in x 2.936 * [taylor]: Taking taylor expansion of (sin x) in x 2.936 * [taylor]: Taking taylor expansion of x in x 2.941 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos x))) in x 2.941 * [taylor]: Taking taylor expansion of (* 1/2 (cos x)) in x 2.941 * [taylor]: Taking taylor expansion of 1/2 in x 2.941 * [taylor]: Taking taylor expansion of (cos x) in x 2.941 * [taylor]: Taking taylor expansion of x in x 2.948 * [taylor]: Taking taylor expansion of (* 1/6 (sin x)) in x 2.948 * [taylor]: Taking taylor expansion of 1/6 in x 2.948 * [taylor]: Taking taylor expansion of (sin x) in x 2.948 * [taylor]: Taking taylor expansion of x in x 2.958 * [taylor]: Taking taylor expansion of (* 1/24 (cos x)) in x 2.958 * [taylor]: Taking taylor expansion of 1/24 in x 2.958 * [taylor]: Taking taylor expansion of (cos x) in x 2.958 * [taylor]: Taking taylor expansion of x in x 2.959 * [approximate]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in (eps x) around 0 2.959 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 2.959 * [taylor]: Taking taylor expansion of -2 in x 2.959 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 2.959 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 2.959 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 2.959 * [taylor]: Taking taylor expansion of 1/2 in x 2.959 * [taylor]: Taking taylor expansion of eps in x 2.959 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.959 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.959 * [taylor]: Taking taylor expansion of 1/2 in x 2.959 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.959 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.959 * [taylor]: Taking taylor expansion of eps in x 2.959 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.959 * [taylor]: Taking taylor expansion of 2 in x 2.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.959 * [taylor]: Taking taylor expansion of x in x 2.960 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 2.960 * [taylor]: Taking taylor expansion of -2 in eps 2.960 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 2.960 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 2.960 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 2.960 * [taylor]: Taking taylor expansion of 1/2 in eps 2.960 * [taylor]: Taking taylor expansion of eps in eps 2.961 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.961 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.961 * [taylor]: Taking taylor expansion of 1/2 in eps 2.961 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.961 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.961 * [taylor]: Taking taylor expansion of eps in eps 2.961 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.961 * [taylor]: Taking taylor expansion of 2 in eps 2.961 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.961 * [taylor]: Taking taylor expansion of x in eps 2.962 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 2.962 * [taylor]: Taking taylor expansion of -2 in eps 2.962 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 2.962 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 2.962 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 2.962 * [taylor]: Taking taylor expansion of 1/2 in eps 2.962 * [taylor]: Taking taylor expansion of eps in eps 2.962 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.962 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.962 * [taylor]: Taking taylor expansion of 1/2 in eps 2.962 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.962 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.962 * [taylor]: Taking taylor expansion of eps in eps 2.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.963 * [taylor]: Taking taylor expansion of 2 in eps 2.963 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.963 * [taylor]: Taking taylor expansion of x in eps 2.964 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 2.964 * [taylor]: Taking taylor expansion of -2 in x 2.964 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 2.964 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 2.964 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 2.964 * [taylor]: Taking taylor expansion of 1/2 in x 2.964 * [taylor]: Taking taylor expansion of eps in x 2.964 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.964 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.964 * [taylor]: Taking taylor expansion of 1/2 in x 2.964 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.964 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.964 * [taylor]: Taking taylor expansion of eps in x 2.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.964 * [taylor]: Taking taylor expansion of 2 in x 2.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.964 * [taylor]: Taking taylor expansion of x in x 2.966 * [taylor]: Taking taylor expansion of 0 in x 2.969 * [taylor]: Taking taylor expansion of 0 in x 2.974 * [taylor]: Taking taylor expansion of 0 in x 2.974 * [approximate]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in (eps x) around 0 2.974 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 2.974 * [taylor]: Taking taylor expansion of -2 in x 2.974 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 2.974 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 2.974 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 2.974 * [taylor]: Taking taylor expansion of -1/2 in x 2.974 * [taylor]: Taking taylor expansion of eps in x 2.974 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.975 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.975 * [taylor]: Taking taylor expansion of -1/2 in x 2.975 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.975 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.975 * [taylor]: Taking taylor expansion of eps in x 2.975 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.975 * [taylor]: Taking taylor expansion of 2 in x 2.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.975 * [taylor]: Taking taylor expansion of x in x 2.976 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 2.976 * [taylor]: Taking taylor expansion of -2 in eps 2.976 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 2.976 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 2.976 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 2.976 * [taylor]: Taking taylor expansion of -1/2 in eps 2.976 * [taylor]: Taking taylor expansion of eps in eps 2.976 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.976 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.976 * [taylor]: Taking taylor expansion of -1/2 in eps 2.976 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.976 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.976 * [taylor]: Taking taylor expansion of eps in eps 2.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.977 * [taylor]: Taking taylor expansion of 2 in eps 2.977 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.977 * [taylor]: Taking taylor expansion of x in eps 2.977 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 2.977 * [taylor]: Taking taylor expansion of -2 in eps 2.977 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 2.977 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 2.977 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 2.977 * [taylor]: Taking taylor expansion of -1/2 in eps 2.977 * [taylor]: Taking taylor expansion of eps in eps 2.978 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 2.978 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 2.978 * [taylor]: Taking taylor expansion of -1/2 in eps 2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 2.978 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 2.978 * [taylor]: Taking taylor expansion of eps in eps 2.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 2.978 * [taylor]: Taking taylor expansion of 2 in eps 2.978 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 2.978 * [taylor]: Taking taylor expansion of x in eps 2.979 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 2.979 * [taylor]: Taking taylor expansion of -2 in x 2.979 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 2.979 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 2.979 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 2.979 * [taylor]: Taking taylor expansion of -1/2 in x 2.979 * [taylor]: Taking taylor expansion of eps in x 2.979 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 2.979 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 2.979 * [taylor]: Taking taylor expansion of -1/2 in x 2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 2.979 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 2.979 * [taylor]: Taking taylor expansion of eps in x 2.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.979 * [taylor]: Taking taylor expansion of 2 in x 2.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.979 * [taylor]: Taking taylor expansion of x in x 2.981 * [taylor]: Taking taylor expansion of 0 in x 2.985 * [taylor]: Taking taylor expansion of 0 in x 2.994 * [taylor]: Taking taylor expansion of 0 in x 2.994 * * * [progress]: simplifying candidates 2.995 * [simplify]: Simplifying using # : (log (sin (/ (+ (+ x eps) x) 2))) (exp (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sin (/ (+ (+ x eps) x) 2))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (- (cos (- (/ eps 2) (/ (+ (+ x eps) x) 2))) (cos (+ (/ eps 2) (/ (+ (+ x eps) x) 2)))) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) (+ (log (sin (/ eps 2))) (log (sin (/ (+ (+ x eps) x) 2)))) (log (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (exp (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2)))) (* (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* (* (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt (sin (/ eps 2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt (sin (/ eps 2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (sin (/ eps 2)) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2))))) (* (sin (/ eps 2)) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (sin (/ eps 2)) 1) (* (cbrt (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) (* (sqrt (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) (* (* (exp x) (exp eps)) (exp x)) (* (exp (+ x eps)) (exp x)) (log (+ (+ x eps) x)) (exp (+ (+ x eps) x)) (* (cbrt (+ (+ x eps) x)) (cbrt (+ (+ x eps) x))) (cbrt (+ (+ x eps) x)) (* (* (+ (+ x eps) x) (+ (+ x eps) x)) (+ (+ x eps) x)) (sqrt (+ (+ x eps) x)) (sqrt (+ (+ x eps) x)) (+ (pow (+ x eps) 3) (pow x 3)) (+ (* (+ x eps) (+ x eps)) (- (* x x) (* (+ x eps) x))) (- (* (+ x eps) (+ x eps)) (* x x)) (- (+ x eps) x) (+ (+ x eps) x) (+ (+ x eps) x) (+ eps x) (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (+ (log -2) (+ (log (sin (/ eps 2))) (log (sin (/ (+ (+ x eps) x) 2))))) (+ (log -2) (log (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (exp (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (* (* (* -2 -2) -2) (* (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2))))) (* (* (* -2 -2) -2) (* (* (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (* (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))))) (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (* (* (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (sqrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (sqrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (* -2 (sin (/ eps 2))) (* (cbrt -2) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt -2) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (- (cos (- (/ eps 2) (/ (+ (+ x eps) x) 2))) (cos (+ (/ eps 2) (/ (+ (+ x eps) x) 2))))) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (+ (* 2 x) eps))) (- (+ (* 1/2 (* x eps)) (* 1/4 (pow eps 2))) (* 1/48 (pow eps 4))) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) (+ (* 2 x) eps) (+ (* 2 x) eps) (+ (* 2 x) eps) (- (* 1/24 (pow eps 4)) (+ (* x eps) (* 1/2 (pow eps 2)))) (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) 2.999 * * [simplify]: iteration 0 : 119 enodes (cost 1098 ) 3.022 * * [simplify]: iteration 1 : 278 enodes (cost 1081 ) 3.094 * * [simplify]: iteration 2 : 766 enodes (cost 919 ) 3.480 * * [simplify]: iteration 3 : 2363 enodes (cost 907 ) 5.381 * * [simplify]: iteration done : 5000 enodes (cost 907 ) 5.382 * [simplify]: Simplified to: (log (sin (/ (+ (+ x eps) x) 2))) (exp (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sin (/ (+ (+ x eps) x) 2))) (pow (sin (/ (+ (+ x eps) x) 2)) 3) (sqrt (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (- (cos (- (/ eps 2) (/ (+ (+ x eps) x) 2))) (cos (+ (/ eps 2) (/ (+ (+ x eps) x) 2)))) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) (log (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (log (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (exp (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (pow (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) 3) (* (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (pow (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) 3) (sqrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt (sin (/ eps 2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt (sin (/ eps 2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (sin (/ eps 2)) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2))))) (* (sin (/ eps 2)) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (sin (/ eps 2)) (* (cbrt (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) (* (sqrt (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) (exp (+ (+ x eps) x)) (exp (+ (+ x eps) x)) (log (+ (+ x eps) x)) (exp (+ (+ x eps) x)) (* (cbrt (+ (+ x eps) x)) (cbrt (+ (+ x eps) x))) (cbrt (+ (+ x eps) x)) (pow (+ (+ x eps) x) 3) (sqrt (+ (+ x eps) x)) (sqrt (+ (+ x eps) x)) (+ (pow (+ x eps) 3) (pow x 3)) (- (* x x) (* (+ x eps) (- 0 eps))) (* (+ (+ x eps) x) (+ 0 eps)) (+ 0 eps) (+ (+ x eps) x) (+ (+ x eps) x) (+ x eps) (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (exp (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (pow (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) 3) (pow (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) 3) (* (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))))) (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (pow (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) 3) (sqrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (sqrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))))) (* -2 (sin (/ eps 2))) (* (cbrt -2) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt -2) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (- (cos (- (/ eps 2) (/ (+ (+ x eps) x) 2))) (cos (+ (/ eps 2) (/ (+ (+ x eps) x) 2))))) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (+ (* 2 x) eps))) (+ (* -1/48 (pow eps 4)) (* eps (+ (* 1/2 x) (* 1/4 eps)))) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) (+ (+ x eps) x) (+ (+ x eps) x) (+ (+ x eps) x) (- (* 1/24 (pow eps 4)) (* eps (+ (* 1/2 eps) x))) (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) 5.382 * * * [progress]: adding candidates to table 5.536 * * [progress]: iteration 3 / 4 5.537 * * * [progress]: picking best candidate 5.569 * * * * [pick]: Picked # 5.569 * * * [progress]: localizing error 5.582 * * * [progress]: generating rewritten candidates 5.582 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 5.606 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 5.646 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 5.660 * * * [progress]: generating series expansions 5.661 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 5.661 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0 5.661 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 5.661 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 5.661 * [taylor]: Taking taylor expansion of 1/2 in eps 5.661 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 5.661 * [taylor]: Taking taylor expansion of (* 2 x) in eps 5.661 * [taylor]: Taking taylor expansion of 2 in eps 5.661 * [taylor]: Taking taylor expansion of x in eps 5.661 * [taylor]: Taking taylor expansion of eps in eps 5.661 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 5.661 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 5.661 * [taylor]: Taking taylor expansion of 1/2 in x 5.661 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.661 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.661 * [taylor]: Taking taylor expansion of 2 in x 5.661 * [taylor]: Taking taylor expansion of x in x 5.661 * [taylor]: Taking taylor expansion of eps in x 5.662 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 5.662 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 5.662 * [taylor]: Taking taylor expansion of 1/2 in x 5.662 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.662 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.662 * [taylor]: Taking taylor expansion of 2 in x 5.662 * [taylor]: Taking taylor expansion of x in x 5.662 * [taylor]: Taking taylor expansion of eps in x 5.662 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.662 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.662 * [taylor]: Taking taylor expansion of 1/2 in eps 5.662 * [taylor]: Taking taylor expansion of eps in eps 5.665 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 5.665 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.665 * [taylor]: Taking taylor expansion of 1/2 in eps 5.665 * [taylor]: Taking taylor expansion of eps in eps 5.670 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps 5.670 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps 5.670 * [taylor]: Taking taylor expansion of 1/2 in eps 5.670 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.670 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.670 * [taylor]: Taking taylor expansion of 1/2 in eps 5.670 * [taylor]: Taking taylor expansion of eps in eps 5.676 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps 5.676 * [taylor]: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps 5.676 * [taylor]: Taking taylor expansion of 1/6 in eps 5.676 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 5.676 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.676 * [taylor]: Taking taylor expansion of 1/2 in eps 5.676 * [taylor]: Taking taylor expansion of eps in eps 5.678 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 5.678 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.678 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.678 * [taylor]: Taking taylor expansion of 1/2 in eps 5.678 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.678 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.678 * [taylor]: Taking taylor expansion of eps in eps 5.678 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.678 * [taylor]: Taking taylor expansion of 2 in eps 5.678 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.678 * [taylor]: Taking taylor expansion of x in eps 5.679 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.679 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.679 * [taylor]: Taking taylor expansion of 1/2 in x 5.679 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.679 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.679 * [taylor]: Taking taylor expansion of eps in x 5.679 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.679 * [taylor]: Taking taylor expansion of 2 in x 5.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.679 * [taylor]: Taking taylor expansion of x in x 5.680 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.680 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.680 * [taylor]: Taking taylor expansion of 1/2 in x 5.680 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.680 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.680 * [taylor]: Taking taylor expansion of eps in x 5.680 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.680 * [taylor]: Taking taylor expansion of 2 in x 5.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.680 * [taylor]: Taking taylor expansion of x in x 5.685 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.685 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.685 * [taylor]: Taking taylor expansion of 1/2 in eps 5.685 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.685 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.685 * [taylor]: Taking taylor expansion of eps in eps 5.685 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.685 * [taylor]: Taking taylor expansion of 2 in eps 5.685 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.685 * [taylor]: Taking taylor expansion of x in eps 5.686 * [taylor]: Taking taylor expansion of 0 in eps 5.686 * [taylor]: Taking taylor expansion of 0 in eps 5.686 * [taylor]: Taking taylor expansion of 0 in eps 5.687 * [approximate]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 5.687 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.687 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.687 * [taylor]: Taking taylor expansion of -1/2 in eps 5.687 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.687 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.687 * [taylor]: Taking taylor expansion of eps in eps 5.687 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.687 * [taylor]: Taking taylor expansion of 2 in eps 5.687 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.687 * [taylor]: Taking taylor expansion of x in eps 5.688 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.688 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.688 * [taylor]: Taking taylor expansion of -1/2 in x 5.688 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.688 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.688 * [taylor]: Taking taylor expansion of eps in x 5.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.688 * [taylor]: Taking taylor expansion of 2 in x 5.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.688 * [taylor]: Taking taylor expansion of x in x 5.689 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.689 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.689 * [taylor]: Taking taylor expansion of -1/2 in x 5.689 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.689 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.689 * [taylor]: Taking taylor expansion of eps in x 5.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.689 * [taylor]: Taking taylor expansion of 2 in x 5.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.689 * [taylor]: Taking taylor expansion of x in x 5.690 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.690 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.690 * [taylor]: Taking taylor expansion of -1/2 in eps 5.690 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.690 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.690 * [taylor]: Taking taylor expansion of eps in eps 5.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.691 * [taylor]: Taking taylor expansion of 2 in eps 5.691 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.691 * [taylor]: Taking taylor expansion of x in eps 5.691 * [taylor]: Taking taylor expansion of 0 in eps 5.692 * [taylor]: Taking taylor expansion of 0 in eps 5.692 * [taylor]: Taking taylor expansion of 0 in eps 5.692 * * * * [progress]: [ 2 / 3 ] generating series at (2) 5.692 * [approximate]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in (eps x) around 0 5.692 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in x 5.692 * [taylor]: Taking taylor expansion of -2 in x 5.692 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in x 5.692 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 5.692 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 5.692 * [taylor]: Taking taylor expansion of 1/2 in x 5.692 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.692 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.692 * [taylor]: Taking taylor expansion of 2 in x 5.692 * [taylor]: Taking taylor expansion of x in x 5.692 * [taylor]: Taking taylor expansion of eps in x 5.692 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in x 5.692 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x 5.693 * [taylor]: Taking taylor expansion of 1/2 in x 5.693 * [taylor]: Taking taylor expansion of eps in x 5.693 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in eps 5.693 * [taylor]: Taking taylor expansion of -2 in eps 5.693 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 5.693 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 5.693 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 5.693 * [taylor]: Taking taylor expansion of 1/2 in eps 5.693 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 5.693 * [taylor]: Taking taylor expansion of (* 2 x) in eps 5.693 * [taylor]: Taking taylor expansion of 2 in eps 5.693 * [taylor]: Taking taylor expansion of x in eps 5.693 * [taylor]: Taking taylor expansion of eps in eps 5.693 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.693 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.693 * [taylor]: Taking taylor expansion of 1/2 in eps 5.693 * [taylor]: Taking taylor expansion of eps in eps 5.694 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in eps 5.694 * [taylor]: Taking taylor expansion of -2 in eps 5.694 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 5.694 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 5.694 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 5.694 * [taylor]: Taking taylor expansion of 1/2 in eps 5.694 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 5.694 * [taylor]: Taking taylor expansion of (* 2 x) in eps 5.694 * [taylor]: Taking taylor expansion of 2 in eps 5.694 * [taylor]: Taking taylor expansion of x in eps 5.694 * [taylor]: Taking taylor expansion of eps in eps 5.694 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.694 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.694 * [taylor]: Taking taylor expansion of 1/2 in eps 5.694 * [taylor]: Taking taylor expansion of eps in eps 5.695 * [taylor]: Taking taylor expansion of 0 in x 5.698 * [taylor]: Taking taylor expansion of (- (sin x)) in x 5.698 * [taylor]: Taking taylor expansion of (sin x) in x 5.698 * [taylor]: Taking taylor expansion of x in x 5.703 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos x))) in x 5.703 * [taylor]: Taking taylor expansion of (* 1/2 (cos x)) in x 5.703 * [taylor]: Taking taylor expansion of 1/2 in x 5.703 * [taylor]: Taking taylor expansion of (cos x) in x 5.703 * [taylor]: Taking taylor expansion of x in x 5.710 * [taylor]: Taking taylor expansion of (* 1/6 (sin x)) in x 5.710 * [taylor]: Taking taylor expansion of 1/6 in x 5.710 * [taylor]: Taking taylor expansion of (sin x) in x 5.710 * [taylor]: Taking taylor expansion of x in x 5.720 * [taylor]: Taking taylor expansion of (* 1/24 (cos x)) in x 5.720 * [taylor]: Taking taylor expansion of 1/24 in x 5.720 * [taylor]: Taking taylor expansion of (cos x) in x 5.720 * [taylor]: Taking taylor expansion of x in x 5.721 * [approximate]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in (eps x) around 0 5.721 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 5.721 * [taylor]: Taking taylor expansion of -2 in x 5.721 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 5.721 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 5.721 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 5.721 * [taylor]: Taking taylor expansion of 1/2 in x 5.721 * [taylor]: Taking taylor expansion of eps in x 5.721 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.721 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.721 * [taylor]: Taking taylor expansion of 1/2 in x 5.721 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.721 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.721 * [taylor]: Taking taylor expansion of eps in x 5.721 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.721 * [taylor]: Taking taylor expansion of 2 in x 5.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.721 * [taylor]: Taking taylor expansion of x in x 5.722 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 5.723 * [taylor]: Taking taylor expansion of -2 in eps 5.723 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 5.723 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 5.723 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 5.723 * [taylor]: Taking taylor expansion of 1/2 in eps 5.723 * [taylor]: Taking taylor expansion of eps in eps 5.723 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.723 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.723 * [taylor]: Taking taylor expansion of 1/2 in eps 5.723 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.723 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.723 * [taylor]: Taking taylor expansion of eps in eps 5.723 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.723 * [taylor]: Taking taylor expansion of 2 in eps 5.723 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.723 * [taylor]: Taking taylor expansion of x in eps 5.724 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 5.724 * [taylor]: Taking taylor expansion of -2 in eps 5.724 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 5.724 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 5.724 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 5.724 * [taylor]: Taking taylor expansion of 1/2 in eps 5.724 * [taylor]: Taking taylor expansion of eps in eps 5.725 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.725 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.725 * [taylor]: Taking taylor expansion of 1/2 in eps 5.725 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.725 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.725 * [taylor]: Taking taylor expansion of eps in eps 5.725 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.725 * [taylor]: Taking taylor expansion of 2 in eps 5.725 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.725 * [taylor]: Taking taylor expansion of x in eps 5.726 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 5.726 * [taylor]: Taking taylor expansion of -2 in x 5.726 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 5.726 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 5.726 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 5.726 * [taylor]: Taking taylor expansion of 1/2 in x 5.726 * [taylor]: Taking taylor expansion of eps in x 5.726 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.726 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.726 * [taylor]: Taking taylor expansion of 1/2 in x 5.726 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.726 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.726 * [taylor]: Taking taylor expansion of eps in x 5.726 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.726 * [taylor]: Taking taylor expansion of 2 in x 5.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.726 * [taylor]: Taking taylor expansion of x in x 5.728 * [taylor]: Taking taylor expansion of 0 in x 5.732 * [taylor]: Taking taylor expansion of 0 in x 5.736 * [taylor]: Taking taylor expansion of 0 in x 5.737 * [approximate]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in (eps x) around 0 5.737 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 5.737 * [taylor]: Taking taylor expansion of -2 in x 5.737 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 5.737 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 5.737 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 5.737 * [taylor]: Taking taylor expansion of -1/2 in x 5.737 * [taylor]: Taking taylor expansion of eps in x 5.737 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.737 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.737 * [taylor]: Taking taylor expansion of -1/2 in x 5.737 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.737 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.737 * [taylor]: Taking taylor expansion of eps in x 5.737 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.737 * [taylor]: Taking taylor expansion of 2 in x 5.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.737 * [taylor]: Taking taylor expansion of x in x 5.738 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 5.738 * [taylor]: Taking taylor expansion of -2 in eps 5.738 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 5.738 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 5.738 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 5.738 * [taylor]: Taking taylor expansion of -1/2 in eps 5.738 * [taylor]: Taking taylor expansion of eps in eps 5.739 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.739 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.739 * [taylor]: Taking taylor expansion of -1/2 in eps 5.739 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.739 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.739 * [taylor]: Taking taylor expansion of eps in eps 5.739 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.739 * [taylor]: Taking taylor expansion of 2 in eps 5.739 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.739 * [taylor]: Taking taylor expansion of x in eps 5.740 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 5.740 * [taylor]: Taking taylor expansion of -2 in eps 5.740 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 5.740 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 5.740 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 5.740 * [taylor]: Taking taylor expansion of -1/2 in eps 5.740 * [taylor]: Taking taylor expansion of eps in eps 5.740 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.740 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.740 * [taylor]: Taking taylor expansion of -1/2 in eps 5.740 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.740 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.740 * [taylor]: Taking taylor expansion of eps in eps 5.740 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.740 * [taylor]: Taking taylor expansion of 2 in eps 5.740 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.740 * [taylor]: Taking taylor expansion of x in eps 5.741 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 5.741 * [taylor]: Taking taylor expansion of -2 in x 5.741 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 5.741 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 5.741 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 5.741 * [taylor]: Taking taylor expansion of -1/2 in x 5.741 * [taylor]: Taking taylor expansion of eps in x 5.742 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.742 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.742 * [taylor]: Taking taylor expansion of -1/2 in x 5.742 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.742 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.742 * [taylor]: Taking taylor expansion of eps in x 5.742 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.742 * [taylor]: Taking taylor expansion of 2 in x 5.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.742 * [taylor]: Taking taylor expansion of x in x 5.744 * [taylor]: Taking taylor expansion of 0 in x 5.747 * [taylor]: Taking taylor expansion of 0 in x 5.752 * [taylor]: Taking taylor expansion of 0 in x 5.752 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 5.752 * [approximate]: Taking taylor expansion of (+ (* 2 x) eps) in (x eps) around 0 5.752 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 5.752 * [taylor]: Taking taylor expansion of (* 2 x) in eps 5.752 * [taylor]: Taking taylor expansion of 2 in eps 5.752 * [taylor]: Taking taylor expansion of x in eps 5.752 * [taylor]: Taking taylor expansion of eps in eps 5.752 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.752 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.752 * [taylor]: Taking taylor expansion of 2 in x 5.752 * [taylor]: Taking taylor expansion of x in x 5.752 * [taylor]: Taking taylor expansion of eps in x 5.752 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.752 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.752 * [taylor]: Taking taylor expansion of 2 in x 5.752 * [taylor]: Taking taylor expansion of x in x 5.752 * [taylor]: Taking taylor expansion of eps in x 5.753 * [taylor]: Taking taylor expansion of eps in eps 5.753 * [taylor]: Taking taylor expansion of 2 in eps 5.754 * [taylor]: Taking taylor expansion of 0 in eps 5.755 * [taylor]: Taking taylor expansion of 0 in eps 5.755 * [approximate]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in (x eps) around 0 5.755 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.755 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.755 * [taylor]: Taking taylor expansion of eps in eps 5.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.755 * [taylor]: Taking taylor expansion of 2 in eps 5.755 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.755 * [taylor]: Taking taylor expansion of x in eps 5.756 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.756 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.756 * [taylor]: Taking taylor expansion of eps in x 5.756 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.756 * [taylor]: Taking taylor expansion of 2 in x 5.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.756 * [taylor]: Taking taylor expansion of x in x 5.756 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.756 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.756 * [taylor]: Taking taylor expansion of eps in x 5.756 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.756 * [taylor]: Taking taylor expansion of 2 in x 5.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.756 * [taylor]: Taking taylor expansion of x in x 5.757 * [taylor]: Taking taylor expansion of 2 in eps 5.758 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.758 * [taylor]: Taking taylor expansion of eps in eps 5.759 * [taylor]: Taking taylor expansion of 0 in eps 5.761 * [taylor]: Taking taylor expansion of 0 in eps 5.763 * [taylor]: Taking taylor expansion of 0 in eps 5.763 * [approximate]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in (x eps) around 0 5.763 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.763 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.763 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.763 * [taylor]: Taking taylor expansion of eps in eps 5.764 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.764 * [taylor]: Taking taylor expansion of 2 in eps 5.764 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.764 * [taylor]: Taking taylor expansion of x in eps 5.764 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.764 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.764 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.764 * [taylor]: Taking taylor expansion of eps in x 5.764 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.764 * [taylor]: Taking taylor expansion of 2 in x 5.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.764 * [taylor]: Taking taylor expansion of x in x 5.764 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.764 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.764 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.764 * [taylor]: Taking taylor expansion of eps in x 5.764 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.764 * [taylor]: Taking taylor expansion of 2 in x 5.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.764 * [taylor]: Taking taylor expansion of x in x 5.765 * [taylor]: Taking taylor expansion of -2 in eps 5.766 * [taylor]: Taking taylor expansion of (- (/ 1 eps)) in eps 5.766 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.766 * [taylor]: Taking taylor expansion of eps in eps 5.768 * [taylor]: Taking taylor expansion of 0 in eps 5.775 * [taylor]: Taking taylor expansion of 0 in eps 5.777 * [taylor]: Taking taylor expansion of 0 in eps 5.777 * * * [progress]: simplifying candidates 5.778 * [simplify]: Simplifying using # : (log (sin (/ (+ (+ x eps) x) 2))) (exp (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sin (/ (+ (+ x eps) x) 2))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) (+ (+ (log -2) (log (sin (/ eps 2)))) (log (sin (/ (+ (+ x eps) x) 2)))) (+ (log (* -2 (sin (/ eps 2)))) (log (sin (/ (+ (+ x eps) x) 2)))) (log (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (exp (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* (* (* -2 -2) -2) (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2)))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* (* (* -2 (sin (/ eps 2))) (* -2 (sin (/ eps 2)))) (* -2 (sin (/ eps 2)))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2)))) (* (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* -2 (sin (/ eps 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2))))) (* (* -2 (sin (/ eps 2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (* -2 (sin (/ eps 2))) 1) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) (* (* (exp x) (exp eps)) (exp x)) (* (exp (+ x eps)) (exp x)) (log (+ (+ x eps) x)) (exp (+ (+ x eps) x)) (* (cbrt (+ (+ x eps) x)) (cbrt (+ (+ x eps) x))) (cbrt (+ (+ x eps) x)) (* (* (+ (+ x eps) x) (+ (+ x eps) x)) (+ (+ x eps) x)) (sqrt (+ (+ x eps) x)) (sqrt (+ (+ x eps) x)) (+ (pow (+ x eps) 3) (pow x 3)) (+ (* (+ x eps) (+ x eps)) (- (* x x) (* (+ x eps) x))) (- (* (+ x eps) (+ x eps)) (* x x)) (- (+ x eps) x) (+ (+ x eps) x) (+ (+ x eps) x) (+ eps x) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (+ (* 2 x) eps))) (- (* 1/24 (pow eps 4)) (+ (* x eps) (* 1/2 (pow eps 2)))) (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) (+ (* 2 x) eps) (+ (* 2 x) eps) (+ (* 2 x) eps) 5.781 * * [simplify]: iteration 0 : 93 enodes (cost 689 ) 5.800 * * [simplify]: iteration 1 : 232 enodes (cost 671 ) 5.870 * * [simplify]: iteration 2 : 714 enodes (cost 565 ) 6.273 * * [simplify]: iteration 3 : 2195 enodes (cost 553 ) 8.497 * * [simplify]: iteration done : 5000 enodes (cost 553 ) 8.497 * [simplify]: Simplified to: (log (sin (/ (+ (+ x eps) x) 2))) (exp (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sin (/ (+ (+ x eps) x) 2))) (pow (sin (/ (+ (+ x eps) x) 2)) 3) (sqrt (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) (log (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (log (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (log (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (exp (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (pow (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) 3) (pow (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) 3) (* (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (pow (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2))) 3) (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* -2 (sin (/ eps 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2))))) (* (* -2 (sin (/ eps 2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* -2 (sin (/ eps 2))) (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) (exp (+ (+ x eps) x)) (exp (+ (+ x eps) x)) (log (+ (+ x eps) x)) (exp (+ (+ x eps) x)) (* (cbrt (+ (+ x eps) x)) (cbrt (+ (+ x eps) x))) (cbrt (+ (+ x eps) x)) (pow (+ (+ x eps) x) 3) (sqrt (+ (+ x eps) x)) (sqrt (+ (+ x eps) x)) (+ (pow (+ x eps) 3) (pow x 3)) (- (* x x) (* (+ x eps) (- 0 eps))) (* (+ eps 0) (+ (+ x eps) x)) (+ eps 0) (+ (+ x eps) x) (+ (+ x eps) x) (+ x eps) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (+ (* 2 x) eps))) (- (* 1/24 (pow eps 4)) (* eps (+ (* 1/2 eps) x))) (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) (+ (+ x eps) x) (+ (+ x eps) x) (+ (+ x eps) x) 8.497 * * * [progress]: adding candidates to table 8.603 * * [progress]: iteration 4 / 4 8.603 * * * [progress]: picking best candidate 8.634 * * * * [pick]: Picked # 8.634 * * * [progress]: localizing error 8.652 * * * [progress]: generating rewritten candidates 8.652 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 8.675 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 8.697 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 8.718 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 8.728 * * * [progress]: generating series expansions 8.728 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 8.728 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0 8.728 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 8.728 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 8.728 * [taylor]: Taking taylor expansion of 1/2 in eps 8.728 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 8.728 * [taylor]: Taking taylor expansion of (* 2 x) in eps 8.728 * [taylor]: Taking taylor expansion of 2 in eps 8.728 * [taylor]: Taking taylor expansion of x in eps 8.728 * [taylor]: Taking taylor expansion of eps in eps 8.729 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 8.729 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 8.729 * [taylor]: Taking taylor expansion of 1/2 in x 8.729 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 8.729 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.729 * [taylor]: Taking taylor expansion of 2 in x 8.729 * [taylor]: Taking taylor expansion of x in x 8.729 * [taylor]: Taking taylor expansion of eps in x 8.729 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 8.729 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 8.729 * [taylor]: Taking taylor expansion of 1/2 in x 8.729 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 8.729 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.729 * [taylor]: Taking taylor expansion of 2 in x 8.729 * [taylor]: Taking taylor expansion of x in x 8.729 * [taylor]: Taking taylor expansion of eps in x 8.730 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 8.730 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.730 * [taylor]: Taking taylor expansion of 1/2 in eps 8.730 * [taylor]: Taking taylor expansion of eps in eps 8.735 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 8.736 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.736 * [taylor]: Taking taylor expansion of 1/2 in eps 8.736 * [taylor]: Taking taylor expansion of eps in eps 8.741 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps 8.741 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps 8.741 * [taylor]: Taking taylor expansion of 1/2 in eps 8.741 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 8.741 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.741 * [taylor]: Taking taylor expansion of 1/2 in eps 8.741 * [taylor]: Taking taylor expansion of eps in eps 8.747 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps 8.747 * [taylor]: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps 8.747 * [taylor]: Taking taylor expansion of 1/6 in eps 8.747 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 8.747 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.748 * [taylor]: Taking taylor expansion of 1/2 in eps 8.748 * [taylor]: Taking taylor expansion of eps in eps 8.749 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 8.749 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.749 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.749 * [taylor]: Taking taylor expansion of 1/2 in eps 8.749 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.749 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.749 * [taylor]: Taking taylor expansion of eps in eps 8.749 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.749 * [taylor]: Taking taylor expansion of 2 in eps 8.749 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.750 * [taylor]: Taking taylor expansion of x in eps 8.750 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.750 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.750 * [taylor]: Taking taylor expansion of 1/2 in x 8.750 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.750 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.750 * [taylor]: Taking taylor expansion of eps in x 8.750 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.750 * [taylor]: Taking taylor expansion of 2 in x 8.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.750 * [taylor]: Taking taylor expansion of x in x 8.751 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.751 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.751 * [taylor]: Taking taylor expansion of 1/2 in x 8.752 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.752 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.752 * [taylor]: Taking taylor expansion of eps in x 8.752 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.752 * [taylor]: Taking taylor expansion of 2 in x 8.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.752 * [taylor]: Taking taylor expansion of x in x 8.753 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.753 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.753 * [taylor]: Taking taylor expansion of 1/2 in eps 8.753 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.753 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.753 * [taylor]: Taking taylor expansion of eps in eps 8.753 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.753 * [taylor]: Taking taylor expansion of 2 in eps 8.753 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.753 * [taylor]: Taking taylor expansion of x in eps 8.754 * [taylor]: Taking taylor expansion of 0 in eps 8.754 * [taylor]: Taking taylor expansion of 0 in eps 8.754 * [taylor]: Taking taylor expansion of 0 in eps 8.754 * [approximate]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 8.754 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.754 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.754 * [taylor]: Taking taylor expansion of -1/2 in eps 8.754 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.754 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.754 * [taylor]: Taking taylor expansion of eps in eps 8.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.755 * [taylor]: Taking taylor expansion of 2 in eps 8.755 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.755 * [taylor]: Taking taylor expansion of x in eps 8.755 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.755 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.755 * [taylor]: Taking taylor expansion of -1/2 in x 8.755 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.755 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.755 * [taylor]: Taking taylor expansion of eps in x 8.756 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.756 * [taylor]: Taking taylor expansion of 2 in x 8.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.756 * [taylor]: Taking taylor expansion of x in x 8.757 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.757 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.757 * [taylor]: Taking taylor expansion of -1/2 in x 8.757 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.757 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.757 * [taylor]: Taking taylor expansion of eps in x 8.757 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.757 * [taylor]: Taking taylor expansion of 2 in x 8.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.757 * [taylor]: Taking taylor expansion of x in x 8.758 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.758 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.758 * [taylor]: Taking taylor expansion of -1/2 in eps 8.758 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.758 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.758 * [taylor]: Taking taylor expansion of eps in eps 8.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.758 * [taylor]: Taking taylor expansion of 2 in eps 8.758 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.758 * [taylor]: Taking taylor expansion of x in eps 8.759 * [taylor]: Taking taylor expansion of 0 in eps 8.759 * [taylor]: Taking taylor expansion of 0 in eps 8.759 * [taylor]: Taking taylor expansion of 0 in eps 8.759 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 8.760 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0 8.760 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 8.760 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 8.760 * [taylor]: Taking taylor expansion of 1/2 in eps 8.760 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 8.760 * [taylor]: Taking taylor expansion of (* 2 x) in eps 8.760 * [taylor]: Taking taylor expansion of 2 in eps 8.760 * [taylor]: Taking taylor expansion of x in eps 8.760 * [taylor]: Taking taylor expansion of eps in eps 8.760 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 8.760 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 8.760 * [taylor]: Taking taylor expansion of 1/2 in x 8.760 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 8.760 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.760 * [taylor]: Taking taylor expansion of 2 in x 8.760 * [taylor]: Taking taylor expansion of x in x 8.760 * [taylor]: Taking taylor expansion of eps in x 8.760 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 8.760 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 8.761 * [taylor]: Taking taylor expansion of 1/2 in x 8.761 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 8.761 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.761 * [taylor]: Taking taylor expansion of 2 in x 8.761 * [taylor]: Taking taylor expansion of x in x 8.761 * [taylor]: Taking taylor expansion of eps in x 8.761 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 8.761 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.761 * [taylor]: Taking taylor expansion of 1/2 in eps 8.761 * [taylor]: Taking taylor expansion of eps in eps 8.764 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 8.764 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.764 * [taylor]: Taking taylor expansion of 1/2 in eps 8.764 * [taylor]: Taking taylor expansion of eps in eps 8.768 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps 8.768 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps 8.768 * [taylor]: Taking taylor expansion of 1/2 in eps 8.768 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 8.768 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.768 * [taylor]: Taking taylor expansion of 1/2 in eps 8.768 * [taylor]: Taking taylor expansion of eps in eps 8.775 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps 8.775 * [taylor]: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps 8.775 * [taylor]: Taking taylor expansion of 1/6 in eps 8.775 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 8.775 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.775 * [taylor]: Taking taylor expansion of 1/2 in eps 8.775 * [taylor]: Taking taylor expansion of eps in eps 8.777 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 8.777 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.777 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.777 * [taylor]: Taking taylor expansion of 1/2 in eps 8.777 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.777 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.777 * [taylor]: Taking taylor expansion of eps in eps 8.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.777 * [taylor]: Taking taylor expansion of 2 in eps 8.777 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.777 * [taylor]: Taking taylor expansion of x in eps 8.778 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.778 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.778 * [taylor]: Taking taylor expansion of 1/2 in x 8.778 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.778 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.778 * [taylor]: Taking taylor expansion of eps in x 8.778 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.778 * [taylor]: Taking taylor expansion of 2 in x 8.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.778 * [taylor]: Taking taylor expansion of x in x 8.779 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.779 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.779 * [taylor]: Taking taylor expansion of 1/2 in x 8.779 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.779 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.779 * [taylor]: Taking taylor expansion of eps in x 8.779 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.779 * [taylor]: Taking taylor expansion of 2 in x 8.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.779 * [taylor]: Taking taylor expansion of x in x 8.780 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.780 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.780 * [taylor]: Taking taylor expansion of 1/2 in eps 8.781 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.781 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.781 * [taylor]: Taking taylor expansion of eps in eps 8.781 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.781 * [taylor]: Taking taylor expansion of 2 in eps 8.781 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.781 * [taylor]: Taking taylor expansion of x in eps 8.782 * [taylor]: Taking taylor expansion of 0 in eps 8.782 * [taylor]: Taking taylor expansion of 0 in eps 8.782 * [taylor]: Taking taylor expansion of 0 in eps 8.782 * [approximate]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 8.782 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.782 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.782 * [taylor]: Taking taylor expansion of -1/2 in eps 8.782 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.782 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.782 * [taylor]: Taking taylor expansion of eps in eps 8.782 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.782 * [taylor]: Taking taylor expansion of 2 in eps 8.782 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.782 * [taylor]: Taking taylor expansion of x in eps 8.783 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.783 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.783 * [taylor]: Taking taylor expansion of -1/2 in x 8.783 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.783 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.783 * [taylor]: Taking taylor expansion of eps in x 8.783 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.783 * [taylor]: Taking taylor expansion of 2 in x 8.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.783 * [taylor]: Taking taylor expansion of x in x 8.784 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.784 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.784 * [taylor]: Taking taylor expansion of -1/2 in x 8.784 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.784 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.784 * [taylor]: Taking taylor expansion of eps in x 8.784 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.784 * [taylor]: Taking taylor expansion of 2 in x 8.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.785 * [taylor]: Taking taylor expansion of x in x 8.786 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.786 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.786 * [taylor]: Taking taylor expansion of -1/2 in eps 8.786 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.786 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.786 * [taylor]: Taking taylor expansion of eps in eps 8.786 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.786 * [taylor]: Taking taylor expansion of 2 in eps 8.786 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.786 * [taylor]: Taking taylor expansion of x in eps 8.787 * [taylor]: Taking taylor expansion of 0 in eps 8.787 * [taylor]: Taking taylor expansion of 0 in eps 8.787 * [taylor]: Taking taylor expansion of 0 in eps 8.787 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 8.787 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0 8.787 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 8.787 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 8.787 * [taylor]: Taking taylor expansion of 1/2 in eps 8.787 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 8.787 * [taylor]: Taking taylor expansion of (* 2 x) in eps 8.787 * [taylor]: Taking taylor expansion of 2 in eps 8.787 * [taylor]: Taking taylor expansion of x in eps 8.787 * [taylor]: Taking taylor expansion of eps in eps 8.788 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 8.788 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 8.788 * [taylor]: Taking taylor expansion of 1/2 in x 8.788 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 8.788 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.788 * [taylor]: Taking taylor expansion of 2 in x 8.788 * [taylor]: Taking taylor expansion of x in x 8.788 * [taylor]: Taking taylor expansion of eps in x 8.788 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 8.788 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 8.788 * [taylor]: Taking taylor expansion of 1/2 in x 8.788 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 8.788 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.788 * [taylor]: Taking taylor expansion of 2 in x 8.788 * [taylor]: Taking taylor expansion of x in x 8.788 * [taylor]: Taking taylor expansion of eps in x 8.789 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 8.789 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.789 * [taylor]: Taking taylor expansion of 1/2 in eps 8.789 * [taylor]: Taking taylor expansion of eps in eps 8.792 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 8.792 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.792 * [taylor]: Taking taylor expansion of 1/2 in eps 8.792 * [taylor]: Taking taylor expansion of eps in eps 8.796 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps 8.796 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps 8.796 * [taylor]: Taking taylor expansion of 1/2 in eps 8.796 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 8.796 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.796 * [taylor]: Taking taylor expansion of 1/2 in eps 8.796 * [taylor]: Taking taylor expansion of eps in eps 8.803 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps 8.803 * [taylor]: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps 8.803 * [taylor]: Taking taylor expansion of 1/6 in eps 8.803 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 8.803 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.803 * [taylor]: Taking taylor expansion of 1/2 in eps 8.803 * [taylor]: Taking taylor expansion of eps in eps 8.804 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 8.804 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.805 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.805 * [taylor]: Taking taylor expansion of 1/2 in eps 8.805 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.805 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.805 * [taylor]: Taking taylor expansion of eps in eps 8.805 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.805 * [taylor]: Taking taylor expansion of 2 in eps 8.805 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.805 * [taylor]: Taking taylor expansion of x in eps 8.806 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.806 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.806 * [taylor]: Taking taylor expansion of 1/2 in x 8.806 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.806 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.806 * [taylor]: Taking taylor expansion of eps in x 8.806 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.806 * [taylor]: Taking taylor expansion of 2 in x 8.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.806 * [taylor]: Taking taylor expansion of x in x 8.807 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.807 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.807 * [taylor]: Taking taylor expansion of 1/2 in x 8.807 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.807 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.807 * [taylor]: Taking taylor expansion of eps in x 8.807 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.807 * [taylor]: Taking taylor expansion of 2 in x 8.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.807 * [taylor]: Taking taylor expansion of x in x 8.809 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.809 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.809 * [taylor]: Taking taylor expansion of 1/2 in eps 8.809 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.809 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.809 * [taylor]: Taking taylor expansion of eps in eps 8.809 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.809 * [taylor]: Taking taylor expansion of 2 in eps 8.809 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.809 * [taylor]: Taking taylor expansion of x in eps 8.810 * [taylor]: Taking taylor expansion of 0 in eps 8.810 * [taylor]: Taking taylor expansion of 0 in eps 8.810 * [taylor]: Taking taylor expansion of 0 in eps 8.810 * [approximate]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 8.810 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.810 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.810 * [taylor]: Taking taylor expansion of -1/2 in eps 8.810 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.810 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.810 * [taylor]: Taking taylor expansion of eps in eps 8.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.811 * [taylor]: Taking taylor expansion of 2 in eps 8.811 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.811 * [taylor]: Taking taylor expansion of x in eps 8.811 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.811 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.811 * [taylor]: Taking taylor expansion of -1/2 in x 8.811 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.811 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.811 * [taylor]: Taking taylor expansion of eps in x 8.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.812 * [taylor]: Taking taylor expansion of 2 in x 8.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.812 * [taylor]: Taking taylor expansion of x in x 8.813 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.813 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.813 * [taylor]: Taking taylor expansion of -1/2 in x 8.813 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.813 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.813 * [taylor]: Taking taylor expansion of eps in x 8.813 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.813 * [taylor]: Taking taylor expansion of 2 in x 8.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.813 * [taylor]: Taking taylor expansion of x in x 8.814 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.814 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.814 * [taylor]: Taking taylor expansion of -1/2 in eps 8.814 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.814 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.814 * [taylor]: Taking taylor expansion of eps in eps 8.814 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.814 * [taylor]: Taking taylor expansion of 2 in eps 8.814 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.814 * [taylor]: Taking taylor expansion of x in eps 8.815 * [taylor]: Taking taylor expansion of 0 in eps 8.815 * [taylor]: Taking taylor expansion of 0 in eps 8.815 * [taylor]: Taking taylor expansion of 0 in eps 8.816 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 8.816 * [approximate]: Taking taylor expansion of (pow (sin (* 1/2 (+ (* 2 x) eps))) 1/3) in (x eps) around 0 8.816 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (* 2 x) eps))) 1/3) in eps 8.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps)))))) in eps 8.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps))))) in eps 8.816 * [taylor]: Taking taylor expansion of 1/3 in eps 8.816 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (* 2 x) eps)))) in eps 8.816 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 8.816 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 8.816 * [taylor]: Taking taylor expansion of 1/2 in eps 8.816 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 8.816 * [taylor]: Taking taylor expansion of (* 2 x) in eps 8.816 * [taylor]: Taking taylor expansion of 2 in eps 8.816 * [taylor]: Taking taylor expansion of x in eps 8.816 * [taylor]: Taking taylor expansion of eps in eps 8.816 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (* 2 x) eps))) 1/3) in x 8.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps)))))) in x 8.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps))))) in x 8.816 * [taylor]: Taking taylor expansion of 1/3 in x 8.816 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (* 2 x) eps)))) in x 8.816 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 8.816 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 8.816 * [taylor]: Taking taylor expansion of 1/2 in x 8.817 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 8.817 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.817 * [taylor]: Taking taylor expansion of 2 in x 8.817 * [taylor]: Taking taylor expansion of x in x 8.817 * [taylor]: Taking taylor expansion of eps in x 8.817 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (* 2 x) eps))) 1/3) in x 8.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps)))))) in x 8.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps))))) in x 8.817 * [taylor]: Taking taylor expansion of 1/3 in x 8.817 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (* 2 x) eps)))) in x 8.817 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 8.817 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 8.817 * [taylor]: Taking taylor expansion of 1/2 in x 8.817 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 8.817 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.817 * [taylor]: Taking taylor expansion of 2 in x 8.817 * [taylor]: Taking taylor expansion of x in x 8.817 * [taylor]: Taking taylor expansion of eps in x 8.818 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 1/3) in eps 8.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 eps))))) in eps 8.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 eps)))) in eps 8.818 * [taylor]: Taking taylor expansion of 1/3 in eps 8.818 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps 8.818 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 8.818 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.818 * [taylor]: Taking taylor expansion of 1/2 in eps 8.818 * [taylor]: Taking taylor expansion of eps in eps 8.827 * [taylor]: Taking taylor expansion of (* 1/3 (* (cos (* 1/2 eps)) (pow (/ 1 (pow (sin (* 1/2 eps)) 2)) 1/3))) in eps 8.827 * [taylor]: Taking taylor expansion of 1/3 in eps 8.827 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 eps)) (pow (/ 1 (pow (sin (* 1/2 eps)) 2)) 1/3)) in eps 8.827 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 8.827 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.827 * [taylor]: Taking taylor expansion of 1/2 in eps 8.827 * [taylor]: Taking taylor expansion of eps in eps 8.828 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sin (* 1/2 eps)) 2)) 1/3) in eps 8.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sin (* 1/2 eps)) 2))))) in eps 8.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sin (* 1/2 eps)) 2)))) in eps 8.828 * [taylor]: Taking taylor expansion of 1/3 in eps 8.828 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sin (* 1/2 eps)) 2))) in eps 8.828 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin (* 1/2 eps)) 2)) in eps 8.828 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps 8.828 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 8.828 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.828 * [taylor]: Taking taylor expansion of 1/2 in eps 8.828 * [taylor]: Taking taylor expansion of eps in eps 8.841 * [taylor]: Taking taylor expansion of (* -1 (* (pow (sin (* 1/2 eps)) 1/3) (+ (* 1/9 (/ (pow (cos (* 1/2 eps)) 2) (pow (sin (* 1/2 eps)) 2))) 1/6))) in eps 8.841 * [taylor]: Taking taylor expansion of -1 in eps 8.841 * [taylor]: Taking taylor expansion of (* (pow (sin (* 1/2 eps)) 1/3) (+ (* 1/9 (/ (pow (cos (* 1/2 eps)) 2) (pow (sin (* 1/2 eps)) 2))) 1/6)) in eps 8.841 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 1/3) in eps 8.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 eps))))) in eps 8.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 eps)))) in eps 8.841 * [taylor]: Taking taylor expansion of 1/3 in eps 8.841 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps 8.841 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 8.841 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.841 * [taylor]: Taking taylor expansion of 1/2 in eps 8.841 * [taylor]: Taking taylor expansion of eps in eps 8.844 * [taylor]: Taking taylor expansion of (+ (* 1/9 (/ (pow (cos (* 1/2 eps)) 2) (pow (sin (* 1/2 eps)) 2))) 1/6) in eps 8.844 * [taylor]: Taking taylor expansion of (* 1/9 (/ (pow (cos (* 1/2 eps)) 2) (pow (sin (* 1/2 eps)) 2))) in eps 8.844 * [taylor]: Taking taylor expansion of 1/9 in eps 8.844 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 eps)) 2) (pow (sin (* 1/2 eps)) 2)) in eps 8.844 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 eps)) 2) in eps 8.844 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 8.844 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.844 * [taylor]: Taking taylor expansion of 1/2 in eps 8.844 * [taylor]: Taking taylor expansion of eps in eps 8.845 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps 8.845 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 8.845 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 8.845 * [taylor]: Taking taylor expansion of 1/2 in eps 8.845 * [taylor]: Taking taylor expansion of eps in eps 8.846 * [taylor]: Taking taylor expansion of 1/6 in eps 8.868 * [approximate]: Taking taylor expansion of (pow (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in (x eps) around 0 8.868 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in eps 8.868 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in eps 8.868 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 8.868 * [taylor]: Taking taylor expansion of 1/3 in eps 8.868 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 8.868 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.868 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.868 * [taylor]: Taking taylor expansion of 1/2 in eps 8.868 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.868 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.868 * [taylor]: Taking taylor expansion of eps in eps 8.868 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.868 * [taylor]: Taking taylor expansion of 2 in eps 8.868 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.868 * [taylor]: Taking taylor expansion of x in eps 8.869 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in x 8.869 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x 8.869 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 8.869 * [taylor]: Taking taylor expansion of 1/3 in x 8.869 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 8.869 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.869 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.869 * [taylor]: Taking taylor expansion of 1/2 in x 8.869 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.869 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.869 * [taylor]: Taking taylor expansion of eps in x 8.870 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.870 * [taylor]: Taking taylor expansion of 2 in x 8.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.870 * [taylor]: Taking taylor expansion of x in x 8.871 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in x 8.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x 8.871 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 8.871 * [taylor]: Taking taylor expansion of 1/3 in x 8.871 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 8.871 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.871 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.871 * [taylor]: Taking taylor expansion of 1/2 in x 8.871 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.871 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.871 * [taylor]: Taking taylor expansion of eps in x 8.871 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.871 * [taylor]: Taking taylor expansion of 2 in x 8.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.871 * [taylor]: Taking taylor expansion of x in x 8.873 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in eps 8.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in eps 8.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 8.873 * [taylor]: Taking taylor expansion of 1/3 in eps 8.873 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 8.873 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.873 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.873 * [taylor]: Taking taylor expansion of 1/2 in eps 8.873 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.873 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.873 * [taylor]: Taking taylor expansion of eps in eps 8.873 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.873 * [taylor]: Taking taylor expansion of 2 in eps 8.873 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.873 * [taylor]: Taking taylor expansion of x in eps 8.876 * [taylor]: Taking taylor expansion of 0 in eps 8.880 * [taylor]: Taking taylor expansion of 0 in eps 8.887 * [taylor]: Taking taylor expansion of 0 in eps 8.887 * [approximate]: Taking taylor expansion of (pow (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in (x eps) around 0 8.887 * [taylor]: Taking taylor expansion of (pow (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in eps 8.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in eps 8.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 8.887 * [taylor]: Taking taylor expansion of 1/3 in eps 8.887 * [taylor]: Taking taylor expansion of (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 8.887 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.887 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.887 * [taylor]: Taking taylor expansion of -1/2 in eps 8.887 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.887 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.887 * [taylor]: Taking taylor expansion of eps in eps 8.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.888 * [taylor]: Taking taylor expansion of 2 in eps 8.888 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.888 * [taylor]: Taking taylor expansion of x in eps 8.889 * [taylor]: Taking taylor expansion of (pow (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in x 8.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x 8.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 8.889 * [taylor]: Taking taylor expansion of 1/3 in x 8.889 * [taylor]: Taking taylor expansion of (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 8.889 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.889 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.889 * [taylor]: Taking taylor expansion of -1/2 in x 8.889 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.889 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.889 * [taylor]: Taking taylor expansion of eps in x 8.889 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.889 * [taylor]: Taking taylor expansion of 2 in x 8.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.889 * [taylor]: Taking taylor expansion of x in x 8.890 * [taylor]: Taking taylor expansion of (pow (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in x 8.890 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x 8.890 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 8.890 * [taylor]: Taking taylor expansion of 1/3 in x 8.890 * [taylor]: Taking taylor expansion of (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 8.890 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 8.890 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 8.890 * [taylor]: Taking taylor expansion of -1/2 in x 8.890 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 8.890 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 8.891 * [taylor]: Taking taylor expansion of eps in x 8.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.891 * [taylor]: Taking taylor expansion of 2 in x 8.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.891 * [taylor]: Taking taylor expansion of x in x 8.892 * [taylor]: Taking taylor expansion of (pow (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in eps 8.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in eps 8.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 8.892 * [taylor]: Taking taylor expansion of 1/3 in eps 8.892 * [taylor]: Taking taylor expansion of (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 8.892 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 8.892 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 8.892 * [taylor]: Taking taylor expansion of -1/2 in eps 8.892 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 8.892 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 8.892 * [taylor]: Taking taylor expansion of eps in eps 8.893 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 8.893 * [taylor]: Taking taylor expansion of 2 in eps 8.893 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 8.893 * [taylor]: Taking taylor expansion of x in eps 8.895 * [taylor]: Taking taylor expansion of 0 in eps 8.899 * [taylor]: Taking taylor expansion of 0 in eps 8.906 * [taylor]: Taking taylor expansion of 0 in eps 8.909 * * * [progress]: simplifying candidates 8.910 * [simplify]: Simplifying using # : (log (sin (/ (+ (+ x eps) x) 2))) (exp (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sin (/ (+ (+ x eps) x) 2))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (log (sin (/ (+ (+ x eps) x) 2))) (exp (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sin (/ (+ (+ x eps) x) 2))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (log (sin (/ (+ (+ x eps) x) 2))) (exp (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sin (/ (+ (+ x eps) x) 2))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (log (cbrt (sin (/ (+ (+ x eps) x) 2)))) (exp (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2))))) (cbrt (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sqrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sqrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt 1) (cbrt (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (cbrt (sin (/ (+ (+ x eps) x) 2))))) (cbrt (cbrt (sin (/ (+ (+ x eps) x) 2)))) (* (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (sqrt (cbrt (sin (/ (+ (+ x eps) x) 2)))) (sqrt (cbrt (sin (/ (+ (+ x eps) x) 2)))) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (+ (* 2 x) eps))) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (+ (* 2 x) eps))) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 (+ (* 2 x) eps))) (- (+ (* 1/3 (* x (exp (* 1/3 (- (log 4) (* 2 (log eps))))))) (exp (* 1/3 (+ (log eps) (log 1/2))))) (* 7/81 (* (exp (* 1/3 (+ (log eps) (log 1/2)))) (pow x 2)))) (pow (sin (* 1/2 (+ (* 2 x) eps))) 1/3) (pow (sin (* 1/2 (+ (* 2 x) eps))) 1/3) 8.912 * * [simplify]: iteration 0 : 57 enodes (cost 570 ) 8.923 * * [simplify]: iteration 1 : 119 enodes (cost 567 ) 8.949 * * [simplify]: iteration 2 : 252 enodes (cost 501 ) 9.008 * * [simplify]: iteration 3 : 609 enodes (cost 493 ) 9.483 * * [simplify]: iteration 4 : 2255 enodes (cost 467 ) 10.343 * * [simplify]: iteration done : 5001 enodes (cost 467 ) 10.343 * [simplify]: Simplified to: (log (sin (/ (+ (+ x eps) x) 2))) (exp (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sin (/ (+ (+ x eps) x) 2))) (pow (sin (/ (+ (+ x eps) x) 2)) 3) (sqrt (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (log (sin (/ (+ (+ x eps) x) 2))) (exp (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sin (/ (+ (+ x eps) x) 2))) (pow (sin (/ (+ (+ x eps) x) 2)) 3) (sqrt (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (log (sin (/ (+ (+ x eps) x) 2))) (exp (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sin (/ (+ (+ x eps) x) 2))) (pow (sin (/ (+ (+ x eps) x) 2)) 3) (sqrt (sin (/ (+ (+ x eps) x) 2))) (sqrt (sin (/ (+ (+ x eps) x) 2))) (log (cbrt (sin (/ (+ (+ x eps) x) 2)))) (exp (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2))))) (cbrt (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sqrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (sqrt (sin (/ (+ (+ x eps) x) 2)))) 1 (cbrt (sin (/ (+ (+ x eps) x) 2))) (* (cbrt (cbrt (sin (/ (+ (+ x eps) x) 2)))) (cbrt (cbrt (sin (/ (+ (+ x eps) x) 2))))) (cbrt (cbrt (sin (/ (+ (+ x eps) x) 2)))) (sin (/ (+ (+ x eps) x) 2)) (sqrt (cbrt (sin (/ (+ (+ x eps) x) 2)))) (sqrt (cbrt (sin (/ (+ (+ x eps) x) 2)))) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) x)) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) x)) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) x)) (+ (* (+ (* x (* x -7/81)) 1) (cbrt (* eps 1/2))) (* (cbrt (/ 4 (* eps eps))) (* 1/3 x))) (cbrt (sin (+ (* 1/2 eps) x))) (cbrt (sin (+ (* 1/2 eps) x))) 10.344 * * * [progress]: adding candidates to table 10.499 * [progress]: [Phase 3 of 3] Extracting. 10.499 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 10.505 * * * [regime-changes]: Trying 3 branch expressions: ((- (cos (+ x eps)) (cos x)) eps x) 10.505 * * * * [regimes]: Trying to branch on (- (cos (+ x eps)) (cos x)) from (# # # # # # # # # # # # # #) 10.577 * * * * [regimes]: Trying to branch on eps from (# # # # # # # # # # # # # #) 10.652 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 10.756 * * * [regime]: Found split indices: #