5.717 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying using # : (- (cos (+ x eps)) (cos x)) 0.094 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.095 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.096 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.097 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.097 * [simplify]: Simplified to: (- (cos (+ x eps)) (cos x)) 0.097 * * [progress]: iteration 1 / 4 0.097 * * * [progress]: picking best candidate 0.099 * * * * [pick]: Picked # 0.099 * * * [progress]: localizing error 0.107 * * * [progress]: generating rewritten candidates 0.107 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.112 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.120 * * * [progress]: generating series expansions 0.120 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.120 * [approximate]: Taking taylor expansion of (cos (+ x eps)) in (x eps) around 0 0.120 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in eps 0.120 * [taylor]: Taking taylor expansion of (+ x eps) in eps 0.120 * [taylor]: Taking taylor expansion of x in eps 0.120 * [taylor]: Taking taylor expansion of eps in eps 0.120 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.120 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of eps in x 0.120 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.120 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of eps in x 0.121 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.121 * [taylor]: Taking taylor expansion of eps in eps 0.128 * [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 0.135 * [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 x 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.136 * [taylor]: Taking taylor expansion of eps in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [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 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.137 * [taylor]: Taking taylor expansion of x in eps 0.137 * [taylor]: Taking taylor expansion of 0 in eps 0.137 * [taylor]: Taking taylor expansion of 0 in eps 0.137 * [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 0.138 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.138 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.138 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.138 * [taylor]: Taking taylor expansion of eps in eps 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.138 * [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 0.139 * [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 0.139 * [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 0.140 * [taylor]: Taking taylor expansion of eps in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [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 0.141 * [taylor]: Taking taylor expansion of eps in eps 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.141 * [taylor]: Taking taylor expansion of x in eps 0.141 * [taylor]: Taking taylor expansion of 0 in eps 0.142 * [taylor]: Taking taylor expansion of 0 in eps 0.142 * [taylor]: Taking taylor expansion of 0 in eps 0.142 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.142 * [approximate]: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in (x eps) around 0 0.142 * [taylor]: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in eps 0.142 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in eps 0.142 * [taylor]: Taking taylor expansion of (+ x eps) in eps 0.142 * [taylor]: Taking taylor expansion of x in eps 0.142 * [taylor]: Taking taylor expansion of eps in eps 0.142 * [taylor]: Taking taylor expansion of (cos x) in eps 0.142 * [taylor]: Taking taylor expansion of x in eps 0.142 * [taylor]: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in x 0.142 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.142 * [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 (+ x eps)) (cos x)) in x 0.142 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.142 * [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 0.143 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in eps 0.143 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.143 * [taylor]: Taking taylor expansion of eps in eps 0.143 * [taylor]: Taking taylor expansion of 1 in eps 0.145 * [taylor]: Taking taylor expansion of (- (sin eps)) in eps 0.146 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.146 * [taylor]: Taking taylor expansion of eps in eps 0.150 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (cos eps))) in eps 0.150 * [taylor]: Taking taylor expansion of 1/2 in eps 0.150 * [taylor]: Taking taylor expansion of (* 1/2 (cos eps)) in eps 0.150 * [taylor]: Taking taylor expansion of 1/2 in eps 0.150 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.150 * [taylor]: Taking taylor expansion of eps in eps 0.156 * [taylor]: Taking taylor expansion of (* 1/6 (sin eps)) in eps 0.156 * [taylor]: Taking taylor expansion of 1/6 in eps 0.156 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.156 * [taylor]: Taking taylor expansion of eps in eps 0.165 * [taylor]: Taking taylor expansion of (- (* 1/24 (cos eps)) 1/24) in eps 0.166 * [taylor]: Taking taylor expansion of (* 1/24 (cos eps)) in eps 0.166 * [taylor]: Taking taylor expansion of 1/24 in eps 0.166 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.166 * [taylor]: Taking taylor expansion of eps in eps 0.166 * [taylor]: Taking taylor expansion of 1/24 in eps 0.168 * [approximate]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in (x eps) around 0 0.168 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in eps 0.168 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.168 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.168 * [taylor]: Taking taylor expansion of eps in eps 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.168 * [taylor]: Taking taylor expansion of x in eps 0.169 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.169 * [taylor]: Taking taylor expansion of x in eps 0.169 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.169 * [taylor]: Taking taylor expansion of eps 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 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.170 * [taylor]: Taking taylor expansion of eps in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in eps 0.171 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.171 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.171 * [taylor]: Taking taylor expansion of eps in eps 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.171 * [taylor]: Taking taylor expansion of x in eps 0.172 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.172 * [taylor]: Taking taylor expansion of x in eps 0.173 * [taylor]: Taking taylor expansion of 0 in eps 0.176 * [taylor]: Taking taylor expansion of 0 in eps 0.179 * [taylor]: Taking taylor expansion of 0 in eps 0.179 * [approximate]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in (x eps) around 0 0.179 * [taylor]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in eps 0.179 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.179 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.179 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.179 * [taylor]: Taking taylor expansion of eps in eps 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.179 * [taylor]: Taking taylor expansion of x in eps 0.180 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.180 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.180 * [taylor]: Taking taylor expansion of -1 in eps 0.180 * [taylor]: Taking taylor expansion of x in eps 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 0.182 * [taylor]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in x 0.182 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.182 * [taylor]: Taking taylor expansion of eps in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.183 * [taylor]: Taking taylor expansion of -1 in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in eps 0.183 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.183 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.183 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.183 * [taylor]: Taking taylor expansion of eps in eps 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.183 * [taylor]: Taking taylor expansion of x in eps 0.184 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.184 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.184 * [taylor]: Taking taylor expansion of -1 in eps 0.184 * [taylor]: Taking taylor expansion of x in eps 0.185 * [taylor]: Taking taylor expansion of 0 in eps 0.188 * [taylor]: Taking taylor expansion of 0 in eps 0.191 * [taylor]: Taking taylor expansion of 0 in eps 0.191 * * * [progress]: simplifying candidates 0.192 * [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)) 0.194 * * [simplify]: iteration 0 : 65 enodes (cost 311 ) 0.204 * * [simplify]: iteration 1 : 134 enodes (cost 299 ) 0.230 * * [simplify]: iteration 2 : 274 enodes (cost 283 ) 0.287 * * [simplify]: iteration 3 : 643 enodes (cost 275 ) 0.615 * * [simplify]: iteration 4 : 1979 enodes (cost 273 ) 1.454 * * [simplify]: iteration done : 5000 enodes (cost 273 ) 1.454 * [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 1/2)) (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) (cos x)) (* (+ (cos (+ x eps)) (cos x)) (cos (+ x eps)))) (- (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)) 1.455 * * * [progress]: adding candidates to table 1.523 * * [progress]: iteration 2 / 4 1.523 * * * [progress]: picking best candidate 1.536 * * * * [pick]: Picked # 1.536 * * * [progress]: localizing error 1.552 * * * [progress]: generating rewritten candidates 1.552 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.575 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.622 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 1.638 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.681 * * * [progress]: generating series expansions 1.682 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.682 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0 1.682 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 1.682 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 1.682 * [taylor]: Taking taylor expansion of 1/2 in eps 1.682 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 1.682 * [taylor]: Taking taylor expansion of (* 2 x) in eps 1.682 * [taylor]: Taking taylor expansion of 2 in eps 1.682 * [taylor]: Taking taylor expansion of x in eps 1.682 * [taylor]: Taking taylor expansion of eps in eps 1.682 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 1.682 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 1.682 * [taylor]: Taking taylor expansion of 1/2 in x 1.682 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 1.682 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.682 * [taylor]: Taking taylor expansion of 2 in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of eps in x 1.683 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 1.683 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 1.683 * [taylor]: Taking taylor expansion of 1/2 in x 1.683 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 1.683 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.683 * [taylor]: Taking taylor expansion of 2 in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of eps in x 1.684 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 1.684 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 1.684 * [taylor]: Taking taylor expansion of 1/2 in eps 1.684 * [taylor]: Taking taylor expansion of eps in eps 1.687 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 1.687 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 1.687 * [taylor]: Taking taylor expansion of 1/2 in eps 1.687 * [taylor]: Taking taylor expansion of eps in eps 1.692 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps 1.692 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps 1.692 * [taylor]: Taking taylor expansion of 1/2 in eps 1.692 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 1.692 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 1.692 * [taylor]: Taking taylor expansion of 1/2 in eps 1.692 * [taylor]: Taking taylor expansion of eps in eps 1.698 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps 1.698 * [taylor]: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps 1.698 * [taylor]: Taking taylor expansion of 1/6 in eps 1.698 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 1.698 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 1.698 * [taylor]: Taking taylor expansion of 1/2 in eps 1.698 * [taylor]: Taking taylor expansion of eps in eps 1.700 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 1.700 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.700 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.700 * [taylor]: Taking taylor expansion of 1/2 in eps 1.700 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.700 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.700 * [taylor]: Taking taylor expansion of eps in eps 1.700 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.700 * [taylor]: Taking taylor expansion of 2 in eps 1.700 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.700 * [taylor]: Taking taylor expansion of x in eps 1.701 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.701 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.701 * [taylor]: Taking taylor expansion of 1/2 in x 1.701 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.701 * [taylor]: Taking taylor expansion of eps in x 1.701 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.701 * [taylor]: Taking taylor expansion of 2 in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.702 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.702 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.702 * [taylor]: Taking taylor expansion of 1/2 in x 1.702 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.702 * [taylor]: Taking taylor expansion of eps in x 1.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.702 * [taylor]: Taking taylor expansion of 2 in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.703 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.704 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.704 * [taylor]: Taking taylor expansion of 1/2 in eps 1.704 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.704 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.704 * [taylor]: Taking taylor expansion of eps in eps 1.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.704 * [taylor]: Taking taylor expansion of 2 in eps 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.704 * [taylor]: Taking taylor expansion of x in eps 1.705 * [taylor]: Taking taylor expansion of 0 in eps 1.705 * [taylor]: Taking taylor expansion of 0 in eps 1.705 * [taylor]: Taking taylor expansion of 0 in eps 1.705 * [approximate]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 1.705 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.705 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.705 * [taylor]: Taking taylor expansion of -1/2 in eps 1.705 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.705 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.705 * [taylor]: Taking taylor expansion of eps in eps 1.706 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.706 * [taylor]: Taking taylor expansion of 2 in eps 1.706 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.706 * [taylor]: Taking taylor expansion of x in eps 1.706 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.706 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.706 * [taylor]: Taking taylor expansion of -1/2 in x 1.706 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.706 * [taylor]: Taking taylor expansion of eps in x 1.706 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.706 * [taylor]: Taking taylor expansion of 2 in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.708 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.708 * [taylor]: Taking taylor expansion of -1/2 in x 1.708 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.708 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.708 * [taylor]: Taking taylor expansion of eps in x 1.708 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.708 * [taylor]: Taking taylor expansion of 2 in x 1.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.709 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.709 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.709 * [taylor]: Taking taylor expansion of -1/2 in eps 1.709 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.709 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.709 * [taylor]: Taking taylor expansion of eps in eps 1.709 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.709 * [taylor]: Taking taylor expansion of 2 in eps 1.709 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.709 * [taylor]: Taking taylor expansion of x in eps 1.710 * [taylor]: Taking taylor expansion of 0 in eps 1.710 * [taylor]: Taking taylor expansion of 0 in eps 1.710 * [taylor]: Taking taylor expansion of 0 in eps 1.710 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.710 * [approximate]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in (eps x) around 0 1.710 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in x 1.710 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 1.710 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 1.711 * [taylor]: Taking taylor expansion of 1/2 in x 1.711 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 1.711 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.711 * [taylor]: Taking taylor expansion of 2 in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.711 * [taylor]: Taking taylor expansion of eps in x 1.711 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in x 1.711 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x 1.711 * [taylor]: Taking taylor expansion of 1/2 in x 1.711 * [taylor]: Taking taylor expansion of eps in x 1.711 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 1.711 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 1.711 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 1.711 * [taylor]: Taking taylor expansion of 1/2 in eps 1.711 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 1.711 * [taylor]: Taking taylor expansion of (* 2 x) in eps 1.711 * [taylor]: Taking taylor expansion of 2 in eps 1.711 * [taylor]: Taking taylor expansion of x in eps 1.711 * [taylor]: Taking taylor expansion of eps in eps 1.711 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 1.711 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 1.711 * [taylor]: Taking taylor expansion of 1/2 in eps 1.711 * [taylor]: Taking taylor expansion of eps in eps 1.712 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 1.712 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 1.712 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 1.712 * [taylor]: Taking taylor expansion of 1/2 in eps 1.712 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 1.712 * [taylor]: Taking taylor expansion of (* 2 x) in eps 1.712 * [taylor]: Taking taylor expansion of 2 in eps 1.712 * [taylor]: Taking taylor expansion of x in eps 1.712 * [taylor]: Taking taylor expansion of eps in eps 1.712 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 1.712 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 1.712 * [taylor]: Taking taylor expansion of 1/2 in eps 1.712 * [taylor]: Taking taylor expansion of eps in eps 1.713 * [taylor]: Taking taylor expansion of 0 in x 1.716 * [taylor]: Taking taylor expansion of (* 1/2 (sin x)) in x 1.716 * [taylor]: Taking taylor expansion of 1/2 in x 1.716 * [taylor]: Taking taylor expansion of (sin x) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.724 * [taylor]: Taking taylor expansion of (* 1/4 (cos x)) in x 1.724 * [taylor]: Taking taylor expansion of 1/4 in x 1.724 * [taylor]: Taking taylor expansion of (cos x) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.731 * [taylor]: Taking taylor expansion of (- (* 1/12 (sin x))) in x 1.731 * [taylor]: Taking taylor expansion of (* 1/12 (sin x)) in x 1.731 * [taylor]: Taking taylor expansion of 1/12 in x 1.731 * [taylor]: Taking taylor expansion of (sin x) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of (- (* 1/48 (cos x))) in x 1.741 * [taylor]: Taking taylor expansion of (* 1/48 (cos x)) in x 1.741 * [taylor]: Taking taylor expansion of 1/48 in x 1.741 * [taylor]: Taking taylor expansion of (cos x) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.742 * [approximate]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in (eps x) around 0 1.742 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 1.742 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 1.742 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 1.742 * [taylor]: Taking taylor expansion of 1/2 in x 1.742 * [taylor]: Taking taylor expansion of eps in x 1.742 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.742 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.742 * [taylor]: Taking taylor expansion of 1/2 in x 1.742 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.742 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.742 * [taylor]: Taking taylor expansion of eps in x 1.742 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.742 * [taylor]: Taking taylor expansion of 2 in x 1.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.742 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 1.744 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 1.744 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 1.744 * [taylor]: Taking taylor expansion of 1/2 in eps 1.744 * [taylor]: Taking taylor expansion of eps in eps 1.744 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.744 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.744 * [taylor]: Taking taylor expansion of 1/2 in eps 1.744 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.744 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.744 * [taylor]: Taking taylor expansion of eps in eps 1.744 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.744 * [taylor]: Taking taylor expansion of 2 in eps 1.744 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.744 * [taylor]: Taking taylor expansion of x in eps 1.745 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 1.745 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 1.745 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 1.745 * [taylor]: Taking taylor expansion of 1/2 in eps 1.745 * [taylor]: Taking taylor expansion of eps in eps 1.746 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.746 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.746 * [taylor]: Taking taylor expansion of 1/2 in eps 1.746 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.746 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.746 * [taylor]: Taking taylor expansion of eps in eps 1.746 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.746 * [taylor]: Taking taylor expansion of 2 in eps 1.746 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.746 * [taylor]: Taking taylor expansion of x in eps 1.747 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 1.747 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 1.747 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 1.747 * [taylor]: Taking taylor expansion of 1/2 in x 1.747 * [taylor]: Taking taylor expansion of eps in x 1.747 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.747 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.747 * [taylor]: Taking taylor expansion of 1/2 in x 1.747 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.747 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.747 * [taylor]: Taking taylor expansion of eps in x 1.747 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.747 * [taylor]: Taking taylor expansion of 2 in x 1.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of 0 in x 1.751 * [taylor]: Taking taylor expansion of 0 in x 1.754 * [taylor]: Taking taylor expansion of 0 in x 1.754 * [approximate]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in (eps x) around 0 1.754 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 1.754 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 1.754 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 1.754 * [taylor]: Taking taylor expansion of -1/2 in x 1.754 * [taylor]: Taking taylor expansion of eps in x 1.755 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.755 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.755 * [taylor]: Taking taylor expansion of -1/2 in x 1.755 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.755 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.755 * [taylor]: Taking taylor expansion of eps in x 1.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.755 * [taylor]: Taking taylor expansion of 2 in x 1.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.755 * [taylor]: Taking taylor expansion of x in x 1.756 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 1.756 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 1.756 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 1.756 * [taylor]: Taking taylor expansion of -1/2 in eps 1.756 * [taylor]: Taking taylor expansion of eps in eps 1.756 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.756 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.756 * [taylor]: Taking taylor expansion of -1/2 in eps 1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.756 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.756 * [taylor]: Taking taylor expansion of eps in eps 1.757 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.757 * [taylor]: Taking taylor expansion of 2 in eps 1.757 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.757 * [taylor]: Taking taylor expansion of x in eps 1.757 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 1.757 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 1.757 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 1.757 * [taylor]: Taking taylor expansion of -1/2 in eps 1.757 * [taylor]: Taking taylor expansion of eps in eps 1.758 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.758 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.758 * [taylor]: Taking taylor expansion of -1/2 in eps 1.758 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.758 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.758 * [taylor]: Taking taylor expansion of eps in eps 1.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.758 * [taylor]: Taking taylor expansion of 2 in eps 1.758 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.758 * [taylor]: Taking taylor expansion of x in eps 1.759 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 1.759 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 1.759 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 1.759 * [taylor]: Taking taylor expansion of -1/2 in x 1.759 * [taylor]: Taking taylor expansion of eps in x 1.759 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.759 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.759 * [taylor]: Taking taylor expansion of -1/2 in x 1.759 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.759 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.759 * [taylor]: Taking taylor expansion of eps in x 1.759 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.759 * [taylor]: Taking taylor expansion of 2 in x 1.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.759 * [taylor]: Taking taylor expansion of x in x 1.761 * [taylor]: Taking taylor expansion of 0 in x 1.763 * [taylor]: Taking taylor expansion of 0 in x 1.767 * [taylor]: Taking taylor expansion of 0 in x 1.767 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 1.767 * [approximate]: Taking taylor expansion of (+ (* 2 x) eps) in (x eps) around 0 1.767 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 1.767 * [taylor]: Taking taylor expansion of (* 2 x) in eps 1.767 * [taylor]: Taking taylor expansion of 2 in eps 1.767 * [taylor]: Taking taylor expansion of x in eps 1.767 * [taylor]: Taking taylor expansion of eps in eps 1.767 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 1.767 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.767 * [taylor]: Taking taylor expansion of 2 in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.767 * [taylor]: Taking taylor expansion of eps in x 1.768 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 1.768 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.768 * [taylor]: Taking taylor expansion of 2 in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of eps in x 1.768 * [taylor]: Taking taylor expansion of eps in eps 1.769 * [taylor]: Taking taylor expansion of 2 in eps 1.769 * [taylor]: Taking taylor expansion of 0 in eps 1.770 * [taylor]: Taking taylor expansion of 0 in eps 1.771 * [approximate]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in (x eps) around 0 1.771 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.771 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.771 * [taylor]: Taking taylor expansion of eps in eps 1.771 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.771 * [taylor]: Taking taylor expansion of 2 in eps 1.771 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.771 * [taylor]: Taking taylor expansion of x in eps 1.771 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.771 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.771 * [taylor]: Taking taylor expansion of eps in x 1.771 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.771 * [taylor]: Taking taylor expansion of 2 in x 1.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.771 * [taylor]: Taking taylor expansion of x in x 1.771 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.771 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.771 * [taylor]: Taking taylor expansion of eps in x 1.771 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.771 * [taylor]: Taking taylor expansion of 2 in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of 2 in eps 1.773 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.773 * [taylor]: Taking taylor expansion of eps in eps 1.775 * [taylor]: Taking taylor expansion of 0 in eps 1.777 * [taylor]: Taking taylor expansion of 0 in eps 1.779 * [taylor]: Taking taylor expansion of 0 in eps 1.779 * [approximate]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in (x eps) around 0 1.779 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.779 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.779 * [taylor]: Taking taylor expansion of eps in eps 1.779 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.779 * [taylor]: Taking taylor expansion of 2 in eps 1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.779 * [taylor]: Taking taylor expansion of x in eps 1.779 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.780 * [taylor]: Taking taylor expansion of eps in x 1.780 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.780 * [taylor]: Taking taylor expansion of 2 in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.780 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.780 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.780 * [taylor]: Taking taylor expansion of eps in x 1.780 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.780 * [taylor]: Taking taylor expansion of 2 in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.781 * [taylor]: Taking taylor expansion of -2 in eps 1.782 * [taylor]: Taking taylor expansion of (- (/ 1 eps)) in eps 1.782 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.782 * [taylor]: Taking taylor expansion of eps in eps 1.784 * [taylor]: Taking taylor expansion of 0 in eps 1.786 * [taylor]: Taking taylor expansion of 0 in eps 1.789 * [taylor]: Taking taylor expansion of 0 in eps 1.789 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.789 * [approximate]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in (eps x) around 0 1.789 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in x 1.789 * [taylor]: Taking taylor expansion of -2 in x 1.789 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in x 1.789 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 1.789 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 1.789 * [taylor]: Taking taylor expansion of 1/2 in x 1.789 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 1.789 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.789 * [taylor]: Taking taylor expansion of 2 in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.789 * [taylor]: Taking taylor expansion of eps in x 1.790 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in x 1.790 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x 1.790 * [taylor]: Taking taylor expansion of 1/2 in x 1.790 * [taylor]: Taking taylor expansion of eps in x 1.790 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in eps 1.790 * [taylor]: Taking taylor expansion of -2 in eps 1.790 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 1.790 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 1.790 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 1.790 * [taylor]: Taking taylor expansion of 1/2 in eps 1.790 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 1.790 * [taylor]: Taking taylor expansion of (* 2 x) in eps 1.790 * [taylor]: Taking taylor expansion of 2 in eps 1.790 * [taylor]: Taking taylor expansion of x in eps 1.790 * [taylor]: Taking taylor expansion of eps in eps 1.790 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 1.790 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 1.790 * [taylor]: Taking taylor expansion of 1/2 in eps 1.790 * [taylor]: Taking taylor expansion of eps in eps 1.791 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in eps 1.791 * [taylor]: Taking taylor expansion of -2 in eps 1.791 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 1.791 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 1.791 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 1.791 * [taylor]: Taking taylor expansion of 1/2 in eps 1.791 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 1.791 * [taylor]: Taking taylor expansion of (* 2 x) in eps 1.791 * [taylor]: Taking taylor expansion of 2 in eps 1.791 * [taylor]: Taking taylor expansion of x in eps 1.791 * [taylor]: Taking taylor expansion of eps in eps 1.791 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 1.791 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 1.791 * [taylor]: Taking taylor expansion of 1/2 in eps 1.791 * [taylor]: Taking taylor expansion of eps in eps 1.792 * [taylor]: Taking taylor expansion of 0 in x 1.795 * [taylor]: Taking taylor expansion of (- (sin x)) in x 1.795 * [taylor]: Taking taylor expansion of (sin x) in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.800 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos x))) in x 1.800 * [taylor]: Taking taylor expansion of (* 1/2 (cos x)) in x 1.800 * [taylor]: Taking taylor expansion of 1/2 in x 1.800 * [taylor]: Taking taylor expansion of (cos x) in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.811 * [taylor]: Taking taylor expansion of (* 1/6 (sin x)) in x 1.811 * [taylor]: Taking taylor expansion of 1/6 in x 1.811 * [taylor]: Taking taylor expansion of (sin x) in x 1.811 * [taylor]: Taking taylor expansion of x in x 1.821 * [taylor]: Taking taylor expansion of (* 1/24 (cos x)) in x 1.821 * [taylor]: Taking taylor expansion of 1/24 in x 1.821 * [taylor]: Taking taylor expansion of (cos x) in x 1.821 * [taylor]: Taking taylor expansion of x in x 1.822 * [approximate]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in (eps x) around 0 1.822 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 1.822 * [taylor]: Taking taylor expansion of -2 in x 1.822 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 1.822 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 1.822 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 1.822 * [taylor]: Taking taylor expansion of 1/2 in x 1.822 * [taylor]: Taking taylor expansion of eps in x 1.822 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.822 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.822 * [taylor]: Taking taylor expansion of 1/2 in x 1.822 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.822 * [taylor]: Taking taylor expansion of eps in x 1.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.822 * [taylor]: Taking taylor expansion of 2 in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.824 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 1.824 * [taylor]: Taking taylor expansion of -2 in eps 1.824 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 1.824 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 1.824 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 1.824 * [taylor]: Taking taylor expansion of 1/2 in eps 1.824 * [taylor]: Taking taylor expansion of eps in eps 1.824 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.824 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.824 * [taylor]: Taking taylor expansion of 1/2 in eps 1.824 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.824 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.824 * [taylor]: Taking taylor expansion of eps in eps 1.824 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.824 * [taylor]: Taking taylor expansion of 2 in eps 1.824 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.824 * [taylor]: Taking taylor expansion of x in eps 1.825 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 1.825 * [taylor]: Taking taylor expansion of -2 in eps 1.825 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 1.825 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 1.825 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 1.825 * [taylor]: Taking taylor expansion of 1/2 in eps 1.825 * [taylor]: Taking taylor expansion of eps in eps 1.826 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.826 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.826 * [taylor]: Taking taylor expansion of 1/2 in eps 1.826 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.826 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.826 * [taylor]: Taking taylor expansion of eps in eps 1.826 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.826 * [taylor]: Taking taylor expansion of 2 in eps 1.826 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.826 * [taylor]: Taking taylor expansion of x in eps 1.827 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 1.827 * [taylor]: Taking taylor expansion of -2 in x 1.827 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 1.827 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 1.827 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 1.827 * [taylor]: Taking taylor expansion of 1/2 in x 1.827 * [taylor]: Taking taylor expansion of eps in x 1.827 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.827 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.827 * [taylor]: Taking taylor expansion of 1/2 in x 1.827 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.827 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.827 * [taylor]: Taking taylor expansion of eps in x 1.827 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.827 * [taylor]: Taking taylor expansion of 2 in x 1.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.827 * [taylor]: Taking taylor expansion of x in x 1.829 * [taylor]: Taking taylor expansion of 0 in x 1.833 * [taylor]: Taking taylor expansion of 0 in x 1.837 * [taylor]: Taking taylor expansion of 0 in x 1.838 * [approximate]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in (eps x) around 0 1.838 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 1.838 * [taylor]: Taking taylor expansion of -2 in x 1.838 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 1.838 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 1.838 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 1.838 * [taylor]: Taking taylor expansion of -1/2 in x 1.838 * [taylor]: Taking taylor expansion of eps in x 1.838 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.838 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.838 * [taylor]: Taking taylor expansion of -1/2 in x 1.838 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.838 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.838 * [taylor]: Taking taylor expansion of eps in x 1.838 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.838 * [taylor]: Taking taylor expansion of 2 in x 1.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.839 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 1.839 * [taylor]: Taking taylor expansion of -2 in eps 1.839 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 1.839 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 1.839 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 1.839 * [taylor]: Taking taylor expansion of -1/2 in eps 1.839 * [taylor]: Taking taylor expansion of eps in eps 1.840 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.840 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.840 * [taylor]: Taking taylor expansion of -1/2 in eps 1.840 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.840 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.840 * [taylor]: Taking taylor expansion of eps in eps 1.840 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.840 * [taylor]: Taking taylor expansion of 2 in eps 1.840 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.840 * [taylor]: Taking taylor expansion of x in eps 1.841 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 1.841 * [taylor]: Taking taylor expansion of -2 in eps 1.841 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 1.841 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 1.841 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 1.841 * [taylor]: Taking taylor expansion of -1/2 in eps 1.841 * [taylor]: Taking taylor expansion of eps in eps 1.841 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 1.841 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 1.841 * [taylor]: Taking taylor expansion of -1/2 in eps 1.841 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 1.841 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.841 * [taylor]: Taking taylor expansion of eps in eps 1.842 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 1.842 * [taylor]: Taking taylor expansion of 2 in eps 1.842 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.842 * [taylor]: Taking taylor expansion of x in eps 1.842 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 1.843 * [taylor]: Taking taylor expansion of -2 in x 1.843 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 1.843 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 1.843 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 1.843 * [taylor]: Taking taylor expansion of -1/2 in x 1.843 * [taylor]: Taking taylor expansion of eps in x 1.843 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 1.843 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 1.843 * [taylor]: Taking taylor expansion of -1/2 in x 1.843 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 1.843 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.843 * [taylor]: Taking taylor expansion of eps in x 1.843 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.843 * [taylor]: Taking taylor expansion of 2 in x 1.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of 0 in x 1.848 * [taylor]: Taking taylor expansion of 0 in x 1.853 * [taylor]: Taking taylor expansion of 0 in x 1.853 * * * [progress]: simplifying candidates 1.854 * [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 1/2) (/ (+ (+ x eps) x) 2))) (cos (+ (* eps 1/2) (/ (+ (+ x eps) x) 2)))) (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))) (+ (log (sin (* eps 1/2))) (log (sin (/ (+ (+ x eps) x) 2)))) (log (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (exp (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* (* (* (sin (* eps 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2)))) (* (cbrt (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (cbrt (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* (* (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))) (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt (sin (* eps 1/2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt (sin (* eps 1/2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (sin (* eps 1/2)) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2))))) (* (sin (* eps 1/2)) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (sin (* eps 1/2)) 1) (* (cbrt (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2))) (* (sqrt (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2))) (* (sin (* eps 1/2)) (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 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (+ (log -2) (+ (log (sin (* eps 1/2))) (log (sin (/ (+ (+ x eps) x) 2))))) (+ (log -2) (log (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (log (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (exp (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (* (* (* -2 -2) -2) (* (* (* (sin (* eps 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2))))) (* (* (* -2 -2) -2) (* (* (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))) (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (* (cbrt (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))))) (cbrt (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (* (* (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (sqrt (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (sqrt (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (* -2 (sin (* eps 1/2))) (* (cbrt -2) (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt -2) (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (- (cos (- (* eps 1/2) (/ (+ (+ x eps) x) 2))) (cos (+ (* eps 1/2) (/ (+ (+ 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)))) 1.858 * * [simplify]: iteration 0 : 119 enodes (cost 1098 ) 1.884 * * [simplify]: iteration 1 : 278 enodes (cost 1077 ) 1.951 * * [simplify]: iteration 2 : 803 enodes (cost 919 ) 2.384 * * [simplify]: iteration 3 : 3184 enodes (cost 907 ) 3.457 * * [simplify]: iteration done : 5000 enodes (cost 907 ) 3.457 * [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 1/2) (/ (+ (+ x eps) x) 2))) (cos (+ (* eps 1/2) (/ (+ (+ x eps) x) 2)))) (* (sin (+ (* 1 x) (* 1/2 eps))) (sin (* 1/2 eps))) (log (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (log (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (exp (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (pow (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))) 3) (* (cbrt (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (cbrt (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (pow (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))) 3) (sqrt (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt (sin (* eps 1/2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt (sin (* eps 1/2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (sin (* eps 1/2)) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2))))) (* (sin (* eps 1/2)) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (sin (* 1/2 eps)) (* (cbrt (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2))) (* (sqrt (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2))) (* (sin (+ (* 1 x) (* 1/2 eps))) (sin (* 1/2 eps))) (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)) (+ (* (+ eps x) (+ 0 eps)) (* x x)) (* (+ 0 eps) (+ (+ x eps) x)) (+ 0 eps) (+ (+ x eps) x) (+ (+ x eps) x) (+ eps x) (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (log (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (log (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (log (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (exp (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (* -8 (pow (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))) 3)) (* -8 (pow (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))) 3)) (* (cbrt (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))))) (cbrt (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (* -8 (pow (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))) 3)) (sqrt (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (sqrt (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2))))) (* -2 (sin (* eps 1/2))) (* (cbrt -2) (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* (sqrt -2) (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (- (cos (- (* eps 1/2) (/ (+ (+ x eps) x) 2))) (cos (+ (* eps 1/2) (/ (+ (+ x eps) x) 2))))) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (+ (* 1 x) (* 1/2 eps))) (sin (+ (* 1 x) (* 1/2 eps))) (- (* eps (+ (* eps 1/4) (* 1/2 x))) (* 1/48 (pow eps 4))) (* (sin (+ (* 1 x) (* 1/2 eps))) (sin (* 1/2 eps))) (* (sin (+ (* 1 x) (* 1/2 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 (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) (* -2 (* (sin (* eps 1/2)) (sin (/ (+ (+ x eps) x) 2)))) 3.458 * * * [progress]: adding candidates to table 3.773 * * [progress]: iteration 3 / 4 3.773 * * * [progress]: picking best candidate 3.809 * * * * [pick]: Picked # 3.809 * * * [progress]: localizing error 3.822 * * * [progress]: generating rewritten candidates 3.822 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 3.844 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 3.888 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 3.904 * * * [progress]: generating series expansions 3.904 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 3.904 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0 3.904 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 3.904 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 3.904 * [taylor]: Taking taylor expansion of 1/2 in eps 3.904 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 3.904 * [taylor]: Taking taylor expansion of (* 2 x) in eps 3.904 * [taylor]: Taking taylor expansion of 2 in eps 3.904 * [taylor]: Taking taylor expansion of x in eps 3.904 * [taylor]: Taking taylor expansion of eps in eps 3.904 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 3.904 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 3.904 * [taylor]: Taking taylor expansion of 1/2 in x 3.904 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 3.904 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.904 * [taylor]: Taking taylor expansion of 2 in x 3.904 * [taylor]: Taking taylor expansion of x in x 3.904 * [taylor]: Taking taylor expansion of eps in x 3.905 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 3.905 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 3.905 * [taylor]: Taking taylor expansion of 1/2 in x 3.905 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 3.905 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.905 * [taylor]: Taking taylor expansion of 2 in x 3.905 * [taylor]: Taking taylor expansion of x in x 3.905 * [taylor]: Taking taylor expansion of eps in x 3.906 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 3.906 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 3.906 * [taylor]: Taking taylor expansion of 1/2 in eps 3.906 * [taylor]: Taking taylor expansion of eps in eps 3.909 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 3.909 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 3.909 * [taylor]: Taking taylor expansion of 1/2 in eps 3.909 * [taylor]: Taking taylor expansion of eps in eps 3.913 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps 3.913 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps 3.913 * [taylor]: Taking taylor expansion of 1/2 in eps 3.913 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 3.914 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 3.914 * [taylor]: Taking taylor expansion of 1/2 in eps 3.914 * [taylor]: Taking taylor expansion of eps in eps 3.920 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps 3.920 * [taylor]: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps 3.920 * [taylor]: Taking taylor expansion of 1/6 in eps 3.920 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 3.920 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 3.920 * [taylor]: Taking taylor expansion of 1/2 in eps 3.920 * [taylor]: Taking taylor expansion of eps in eps 3.922 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 3.922 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 3.922 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 3.922 * [taylor]: Taking taylor expansion of 1/2 in eps 3.922 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 3.922 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 3.922 * [taylor]: Taking taylor expansion of eps in eps 3.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 3.923 * [taylor]: Taking taylor expansion of 2 in eps 3.923 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 3.923 * [taylor]: Taking taylor expansion of x in eps 3.923 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 3.923 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 3.923 * [taylor]: Taking taylor expansion of 1/2 in x 3.923 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 3.923 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 3.923 * [taylor]: Taking taylor expansion of eps in x 3.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.923 * [taylor]: Taking taylor expansion of 2 in x 3.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.923 * [taylor]: Taking taylor expansion of x in x 3.925 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 3.925 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 3.925 * [taylor]: Taking taylor expansion of 1/2 in x 3.925 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 3.925 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 3.925 * [taylor]: Taking taylor expansion of eps in x 3.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.925 * [taylor]: Taking taylor expansion of 2 in x 3.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.925 * [taylor]: Taking taylor expansion of x in x 3.926 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 3.926 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 3.926 * [taylor]: Taking taylor expansion of 1/2 in eps 3.926 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 3.926 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 3.926 * [taylor]: Taking taylor expansion of eps in eps 3.926 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 3.926 * [taylor]: Taking taylor expansion of 2 in eps 3.926 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 3.926 * [taylor]: Taking taylor expansion of x in eps 3.927 * [taylor]: Taking taylor expansion of 0 in eps 3.927 * [taylor]: Taking taylor expansion of 0 in eps 3.927 * [taylor]: Taking taylor expansion of 0 in eps 3.928 * [approximate]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 3.928 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 3.928 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 3.928 * [taylor]: Taking taylor expansion of -1/2 in eps 3.928 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 3.928 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 3.928 * [taylor]: Taking taylor expansion of eps in eps 3.928 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 3.928 * [taylor]: Taking taylor expansion of 2 in eps 3.928 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 3.928 * [taylor]: Taking taylor expansion of x in eps 3.929 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 3.929 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 3.929 * [taylor]: Taking taylor expansion of -1/2 in x 3.929 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 3.929 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 3.929 * [taylor]: Taking taylor expansion of eps in x 3.929 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.929 * [taylor]: Taking taylor expansion of 2 in x 3.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.929 * [taylor]: Taking taylor expansion of x in x 3.930 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 3.930 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 3.930 * [taylor]: Taking taylor expansion of -1/2 in x 3.930 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 3.930 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 3.930 * [taylor]: Taking taylor expansion of eps in x 3.930 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.930 * [taylor]: Taking taylor expansion of 2 in x 3.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.930 * [taylor]: Taking taylor expansion of x in x 3.932 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 3.932 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 3.932 * [taylor]: Taking taylor expansion of -1/2 in eps 3.932 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 3.932 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 3.932 * [taylor]: Taking taylor expansion of eps in eps 3.932 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 3.932 * [taylor]: Taking taylor expansion of 2 in eps 3.932 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 3.932 * [taylor]: Taking taylor expansion of x in eps 3.933 * [taylor]: Taking taylor expansion of 0 in eps 3.933 * [taylor]: Taking taylor expansion of 0 in eps 3.933 * [taylor]: Taking taylor expansion of 0 in eps 3.933 * * * * [progress]: [ 2 / 3 ] generating series at (2) 3.933 * [approximate]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in (eps x) around 0 3.933 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in x 3.933 * [taylor]: Taking taylor expansion of -2 in x 3.933 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in x 3.933 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 3.933 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 3.933 * [taylor]: Taking taylor expansion of 1/2 in x 3.933 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 3.933 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.933 * [taylor]: Taking taylor expansion of 2 in x 3.933 * [taylor]: Taking taylor expansion of x in x 3.933 * [taylor]: Taking taylor expansion of eps in x 3.934 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in x 3.934 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x 3.934 * [taylor]: Taking taylor expansion of 1/2 in x 3.934 * [taylor]: Taking taylor expansion of eps in x 3.934 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in eps 3.934 * [taylor]: Taking taylor expansion of -2 in eps 3.934 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 3.934 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 3.934 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 3.934 * [taylor]: Taking taylor expansion of 1/2 in eps 3.934 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 3.934 * [taylor]: Taking taylor expansion of (* 2 x) in eps 3.934 * [taylor]: Taking taylor expansion of 2 in eps 3.934 * [taylor]: Taking taylor expansion of x in eps 3.934 * [taylor]: Taking taylor expansion of eps in eps 3.934 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 3.934 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 3.934 * [taylor]: Taking taylor expansion of 1/2 in eps 3.934 * [taylor]: Taking taylor expansion of eps in eps 3.935 * [taylor]: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) in eps 3.935 * [taylor]: Taking taylor expansion of -2 in eps 3.935 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps 3.935 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 3.935 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 3.935 * [taylor]: Taking taylor expansion of 1/2 in eps 3.935 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 3.935 * [taylor]: Taking taylor expansion of (* 2 x) in eps 3.935 * [taylor]: Taking taylor expansion of 2 in eps 3.935 * [taylor]: Taking taylor expansion of x in eps 3.935 * [taylor]: Taking taylor expansion of eps in eps 3.935 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 3.935 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 3.935 * [taylor]: Taking taylor expansion of 1/2 in eps 3.935 * [taylor]: Taking taylor expansion of eps in eps 3.936 * [taylor]: Taking taylor expansion of 0 in x 3.939 * [taylor]: Taking taylor expansion of (- (sin x)) in x 3.939 * [taylor]: Taking taylor expansion of (sin x) in x 3.939 * [taylor]: Taking taylor expansion of x in x 3.944 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos x))) in x 3.944 * [taylor]: Taking taylor expansion of (* 1/2 (cos x)) in x 3.944 * [taylor]: Taking taylor expansion of 1/2 in x 3.944 * [taylor]: Taking taylor expansion of (cos x) in x 3.944 * [taylor]: Taking taylor expansion of x in x 3.952 * [taylor]: Taking taylor expansion of (* 1/6 (sin x)) in x 3.952 * [taylor]: Taking taylor expansion of 1/6 in x 3.952 * [taylor]: Taking taylor expansion of (sin x) in x 3.952 * [taylor]: Taking taylor expansion of x in x 3.965 * [taylor]: Taking taylor expansion of (* 1/24 (cos x)) in x 3.965 * [taylor]: Taking taylor expansion of 1/24 in x 3.965 * [taylor]: Taking taylor expansion of (cos x) in x 3.965 * [taylor]: Taking taylor expansion of x in x 3.966 * [approximate]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in (eps x) around 0 3.966 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 3.966 * [taylor]: Taking taylor expansion of -2 in x 3.966 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 3.966 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 3.966 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 3.966 * [taylor]: Taking taylor expansion of 1/2 in x 3.966 * [taylor]: Taking taylor expansion of eps in x 3.966 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 3.966 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 3.966 * [taylor]: Taking taylor expansion of 1/2 in x 3.966 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 3.966 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 3.966 * [taylor]: Taking taylor expansion of eps in x 3.966 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.966 * [taylor]: Taking taylor expansion of 2 in x 3.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.966 * [taylor]: Taking taylor expansion of x in x 3.968 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 3.968 * [taylor]: Taking taylor expansion of -2 in eps 3.968 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 3.968 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 3.968 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 3.968 * [taylor]: Taking taylor expansion of 1/2 in eps 3.968 * [taylor]: Taking taylor expansion of eps in eps 3.968 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 3.968 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 3.968 * [taylor]: Taking taylor expansion of 1/2 in eps 3.968 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 3.968 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 3.968 * [taylor]: Taking taylor expansion of eps in eps 3.968 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 3.968 * [taylor]: Taking taylor expansion of 2 in eps 3.968 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 3.968 * [taylor]: Taking taylor expansion of x in eps 3.969 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 3.969 * [taylor]: Taking taylor expansion of -2 in eps 3.969 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 3.969 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps 3.969 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps 3.969 * [taylor]: Taking taylor expansion of 1/2 in eps 3.969 * [taylor]: Taking taylor expansion of eps in eps 3.970 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 3.970 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 3.970 * [taylor]: Taking taylor expansion of 1/2 in eps 3.970 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 3.970 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 3.970 * [taylor]: Taking taylor expansion of eps in eps 3.970 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 3.970 * [taylor]: Taking taylor expansion of 2 in eps 3.970 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 3.970 * [taylor]: Taking taylor expansion of x in eps 3.971 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 3.971 * [taylor]: Taking taylor expansion of -2 in x 3.971 * [taylor]: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 3.971 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x 3.971 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x 3.971 * [taylor]: Taking taylor expansion of 1/2 in x 3.971 * [taylor]: Taking taylor expansion of eps in x 3.971 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 3.971 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 3.971 * [taylor]: Taking taylor expansion of 1/2 in x 3.971 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 3.971 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 3.972 * [taylor]: Taking taylor expansion of eps in x 3.972 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.972 * [taylor]: Taking taylor expansion of 2 in x 3.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.972 * [taylor]: Taking taylor expansion of x in x 3.974 * [taylor]: Taking taylor expansion of 0 in x 3.977 * [taylor]: Taking taylor expansion of 0 in x 3.982 * [taylor]: Taking taylor expansion of 0 in x 3.982 * [approximate]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in (eps x) around 0 3.982 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 3.982 * [taylor]: Taking taylor expansion of -2 in x 3.982 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 3.982 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 3.982 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 3.982 * [taylor]: Taking taylor expansion of -1/2 in x 3.982 * [taylor]: Taking taylor expansion of eps in x 3.983 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 3.983 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 3.983 * [taylor]: Taking taylor expansion of -1/2 in x 3.983 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 3.983 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 3.983 * [taylor]: Taking taylor expansion of eps in x 3.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.983 * [taylor]: Taking taylor expansion of 2 in x 3.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.983 * [taylor]: Taking taylor expansion of x in x 3.984 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 3.984 * [taylor]: Taking taylor expansion of -2 in eps 3.984 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 3.984 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 3.984 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 3.984 * [taylor]: Taking taylor expansion of -1/2 in eps 3.984 * [taylor]: Taking taylor expansion of eps in eps 3.984 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 3.984 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 3.984 * [taylor]: Taking taylor expansion of -1/2 in eps 3.984 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 3.984 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 3.984 * [taylor]: Taking taylor expansion of eps in eps 3.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 3.985 * [taylor]: Taking taylor expansion of 2 in eps 3.985 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 3.985 * [taylor]: Taking taylor expansion of x in eps 3.985 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 3.985 * [taylor]: Taking taylor expansion of -2 in eps 3.985 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 3.985 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps 3.985 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps 3.985 * [taylor]: Taking taylor expansion of -1/2 in eps 3.985 * [taylor]: Taking taylor expansion of eps in eps 3.986 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 3.986 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 3.986 * [taylor]: Taking taylor expansion of -1/2 in eps 3.986 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 3.986 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 3.986 * [taylor]: Taking taylor expansion of eps in eps 3.986 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 3.986 * [taylor]: Taking taylor expansion of 2 in eps 3.986 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 3.986 * [taylor]: Taking taylor expansion of x in eps 3.987 * [taylor]: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 3.987 * [taylor]: Taking taylor expansion of -2 in x 3.987 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 3.987 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x 3.987 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x 3.987 * [taylor]: Taking taylor expansion of -1/2 in x 3.987 * [taylor]: Taking taylor expansion of eps in x 3.987 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 3.987 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 3.987 * [taylor]: Taking taylor expansion of -1/2 in x 3.987 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 3.987 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 3.987 * [taylor]: Taking taylor expansion of eps in x 3.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.988 * [taylor]: Taking taylor expansion of 2 in x 3.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.988 * [taylor]: Taking taylor expansion of x in x 3.990 * [taylor]: Taking taylor expansion of 0 in x 3.993 * [taylor]: Taking taylor expansion of 0 in x 3.998 * [taylor]: Taking taylor expansion of 0 in x 3.998 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 3.998 * [approximate]: Taking taylor expansion of (+ (* 2 x) eps) in (x eps) around 0 3.998 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 3.998 * [taylor]: Taking taylor expansion of (* 2 x) in eps 3.998 * [taylor]: Taking taylor expansion of 2 in eps 3.998 * [taylor]: Taking taylor expansion of x in eps 3.998 * [taylor]: Taking taylor expansion of eps in eps 3.998 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 3.998 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.998 * [taylor]: Taking taylor expansion of 2 in x 3.998 * [taylor]: Taking taylor expansion of x in x 3.998 * [taylor]: Taking taylor expansion of eps in x 3.998 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 3.998 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.998 * [taylor]: Taking taylor expansion of 2 in x 3.998 * [taylor]: Taking taylor expansion of x in x 3.998 * [taylor]: Taking taylor expansion of eps in x 3.999 * [taylor]: Taking taylor expansion of eps in eps 4.000 * [taylor]: Taking taylor expansion of 2 in eps 4.000 * [taylor]: Taking taylor expansion of 0 in eps 4.001 * [taylor]: Taking taylor expansion of 0 in eps 4.001 * [approximate]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in (x eps) around 0 4.001 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 4.001 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 4.002 * [taylor]: Taking taylor expansion of eps in eps 4.002 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 4.002 * [taylor]: Taking taylor expansion of 2 in eps 4.002 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 4.002 * [taylor]: Taking taylor expansion of x in eps 4.002 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 4.002 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 4.002 * [taylor]: Taking taylor expansion of eps in x 4.002 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.002 * [taylor]: Taking taylor expansion of 2 in x 4.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.002 * [taylor]: Taking taylor expansion of x in x 4.002 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 4.002 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 4.002 * [taylor]: Taking taylor expansion of eps in x 4.002 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.002 * [taylor]: Taking taylor expansion of 2 in x 4.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.002 * [taylor]: Taking taylor expansion of x in x 4.003 * [taylor]: Taking taylor expansion of 2 in eps 4.004 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 4.004 * [taylor]: Taking taylor expansion of eps in eps 4.006 * [taylor]: Taking taylor expansion of 0 in eps 4.008 * [taylor]: Taking taylor expansion of 0 in eps 4.010 * [taylor]: Taking taylor expansion of 0 in eps 4.010 * [approximate]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in (x eps) around 0 4.010 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 4.010 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 4.010 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 4.010 * [taylor]: Taking taylor expansion of eps in eps 4.010 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 4.010 * [taylor]: Taking taylor expansion of 2 in eps 4.010 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 4.010 * [taylor]: Taking taylor expansion of x in eps 4.010 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 4.010 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 4.010 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 4.010 * [taylor]: Taking taylor expansion of eps in x 4.010 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.010 * [taylor]: Taking taylor expansion of 2 in x 4.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.010 * [taylor]: Taking taylor expansion of x in x 4.011 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 4.011 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 4.011 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 4.011 * [taylor]: Taking taylor expansion of eps in x 4.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.011 * [taylor]: Taking taylor expansion of 2 in x 4.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.011 * [taylor]: Taking taylor expansion of x in x 4.012 * [taylor]: Taking taylor expansion of -2 in eps 4.013 * [taylor]: Taking taylor expansion of (- (/ 1 eps)) in eps 4.013 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 4.013 * [taylor]: Taking taylor expansion of eps in eps 4.015 * [taylor]: Taking taylor expansion of 0 in eps 4.017 * [taylor]: Taking taylor expansion of 0 in eps 4.020 * [taylor]: Taking taylor expansion of 0 in eps 4.020 * * * [progress]: simplifying candidates 4.021 * [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 1/2))) (sin (/ (+ (+ x eps) x) 2))) (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2))) (+ (+ (log -2) (log (sin (* eps 1/2)))) (log (sin (/ (+ (+ x eps) x) 2)))) (+ (log (* -2 (sin (* eps 1/2)))) (log (sin (/ (+ (+ x eps) x) 2)))) (log (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (exp (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* (* (* -2 -2) -2) (* (* (sin (* eps 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2)))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* (* (* -2 (sin (* eps 1/2))) (* -2 (sin (* eps 1/2)))) (* -2 (sin (* eps 1/2)))) (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (sin (/ (+ (+ x eps) x) 2)))) (* (cbrt (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (cbrt (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2))) (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* -2 (sin (* eps 1/2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2))))) (* (* -2 (sin (* eps 1/2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* (* -2 (sin (* eps 1/2))) 1) (* (sin (* eps 1/2)) (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) 4.023 * * [simplify]: iteration 0 : 93 enodes (cost 689 ) 4.044 * * [simplify]: iteration 1 : 230 enodes (cost 673 ) 4.113 * * [simplify]: iteration 2 : 739 enodes (cost 563 ) 4.518 * * [simplify]: iteration 3 : 2986 enodes (cost 553 ) 5.593 * * [simplify]: iteration done : 5001 enodes (cost 553 ) 5.594 * [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 (* 1/2 (+ (* 2 x) eps)))) (sqrt (sin (* 1/2 (+ (* 2 x) eps)))) (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) (log (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (log (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (log (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (exp (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (pow (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2))) 3) (pow (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2))) 3) (* (cbrt (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (cbrt (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2))))) (cbrt (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (pow (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2))) 3) (sqrt (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (sqrt (* (* -2 (sin (* eps 1/2))) (sin (/ (+ (+ x eps) x) 2)))) (* (* -2 (sin (* eps 1/2))) (* (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2))))) (* (* -2 (sin (* eps 1/2))) (sqrt (sin (/ (+ (+ x eps) x) 2)))) (* -2 (sin (* eps 1/2))) (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) (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))) (* (+ 0 eps) (+ (+ x eps) x)) (+ 0 eps) (+ (+ x eps) x) (+ (+ x eps) x) (+ x eps) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2)) (- (* 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) 5.594 * * * [progress]: adding candidates to table 5.699 * * [progress]: iteration 4 / 4 5.699 * * * [progress]: picking best candidate 5.730 * * * * [pick]: Picked # 5.730 * * * [progress]: localizing error 5.747 * * * [progress]: generating rewritten candidates 5.747 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.772 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 5.795 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 5.817 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.827 * * * [progress]: generating series expansions 5.827 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.828 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0 5.828 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 5.828 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 5.828 * [taylor]: Taking taylor expansion of 1/2 in eps 5.828 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 5.828 * [taylor]: Taking taylor expansion of (* 2 x) in eps 5.828 * [taylor]: Taking taylor expansion of 2 in eps 5.828 * [taylor]: Taking taylor expansion of x in eps 5.828 * [taylor]: Taking taylor expansion of eps in eps 5.830 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 5.830 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 5.830 * [taylor]: Taking taylor expansion of 1/2 in x 5.830 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.830 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.830 * [taylor]: Taking taylor expansion of 2 in x 5.830 * [taylor]: Taking taylor expansion of x in x 5.830 * [taylor]: Taking taylor expansion of eps in x 5.830 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 5.830 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 5.831 * [taylor]: Taking taylor expansion of 1/2 in x 5.831 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.831 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.831 * [taylor]: Taking taylor expansion of 2 in x 5.831 * [taylor]: Taking taylor expansion of x in x 5.831 * [taylor]: Taking taylor expansion of eps in x 5.831 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.831 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.831 * [taylor]: Taking taylor expansion of 1/2 in eps 5.831 * [taylor]: Taking taylor expansion of eps in eps 5.834 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 5.834 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.834 * [taylor]: Taking taylor expansion of 1/2 in eps 5.834 * [taylor]: Taking taylor expansion of eps in eps 5.839 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps 5.839 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps 5.839 * [taylor]: Taking taylor expansion of 1/2 in eps 5.839 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.839 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.839 * [taylor]: Taking taylor expansion of 1/2 in eps 5.839 * [taylor]: Taking taylor expansion of eps in eps 5.846 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps 5.846 * [taylor]: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps 5.846 * [taylor]: Taking taylor expansion of 1/6 in eps 5.846 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 5.846 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.846 * [taylor]: Taking taylor expansion of 1/2 in eps 5.846 * [taylor]: Taking taylor expansion of eps in eps 5.848 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 5.848 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.848 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.848 * [taylor]: Taking taylor expansion of 1/2 in eps 5.848 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.848 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.848 * [taylor]: Taking taylor expansion of eps in eps 5.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.848 * [taylor]: Taking taylor expansion of 2 in eps 5.848 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.848 * [taylor]: Taking taylor expansion of x in eps 5.849 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.849 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.849 * [taylor]: Taking taylor expansion of 1/2 in x 5.849 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.849 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.849 * [taylor]: Taking taylor expansion of eps in x 5.849 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.849 * [taylor]: Taking taylor expansion of 2 in x 5.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.849 * [taylor]: Taking taylor expansion of x in x 5.850 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.850 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.850 * [taylor]: Taking taylor expansion of 1/2 in x 5.850 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.851 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.851 * [taylor]: Taking taylor expansion of eps in x 5.851 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.851 * [taylor]: Taking taylor expansion of 2 in x 5.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.851 * [taylor]: Taking taylor expansion of x in x 5.852 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.852 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.852 * [taylor]: Taking taylor expansion of 1/2 in eps 5.852 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.852 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.852 * [taylor]: Taking taylor expansion of eps in eps 5.852 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.852 * [taylor]: Taking taylor expansion of 2 in eps 5.852 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.852 * [taylor]: Taking taylor expansion of x in eps 5.853 * [taylor]: Taking taylor expansion of 0 in eps 5.853 * [taylor]: Taking taylor expansion of 0 in eps 5.853 * [taylor]: Taking taylor expansion of 0 in eps 5.853 * [approximate]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 5.853 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.853 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.853 * [taylor]: Taking taylor expansion of -1/2 in eps 5.853 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.853 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.853 * [taylor]: Taking taylor expansion of eps in eps 5.854 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.854 * [taylor]: Taking taylor expansion of 2 in eps 5.854 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.854 * [taylor]: Taking taylor expansion of x in eps 5.854 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.854 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.854 * [taylor]: Taking taylor expansion of -1/2 in x 5.854 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.854 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.854 * [taylor]: Taking taylor expansion of eps in x 5.855 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.855 * [taylor]: Taking taylor expansion of 2 in x 5.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.855 * [taylor]: Taking taylor expansion of x in x 5.856 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.856 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.856 * [taylor]: Taking taylor expansion of -1/2 in x 5.856 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.856 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.856 * [taylor]: Taking taylor expansion of eps in x 5.856 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.856 * [taylor]: Taking taylor expansion of 2 in x 5.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.856 * [taylor]: Taking taylor expansion of x in x 5.857 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.857 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.857 * [taylor]: Taking taylor expansion of -1/2 in eps 5.857 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.857 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.857 * [taylor]: Taking taylor expansion of eps in eps 5.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.857 * [taylor]: Taking taylor expansion of 2 in eps 5.857 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.857 * [taylor]: Taking taylor expansion of x in eps 5.858 * [taylor]: Taking taylor expansion of 0 in eps 5.858 * [taylor]: Taking taylor expansion of 0 in eps 5.858 * [taylor]: Taking taylor expansion of 0 in eps 5.858 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 5.859 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0 5.859 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 5.859 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 5.859 * [taylor]: Taking taylor expansion of 1/2 in eps 5.859 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 5.859 * [taylor]: Taking taylor expansion of (* 2 x) in eps 5.859 * [taylor]: Taking taylor expansion of 2 in eps 5.859 * [taylor]: Taking taylor expansion of x in eps 5.859 * [taylor]: Taking taylor expansion of eps in eps 5.859 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 5.859 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 5.859 * [taylor]: Taking taylor expansion of 1/2 in x 5.859 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.859 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.859 * [taylor]: Taking taylor expansion of 2 in x 5.859 * [taylor]: Taking taylor expansion of x in x 5.859 * [taylor]: Taking taylor expansion of eps in x 5.859 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 5.859 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 5.859 * [taylor]: Taking taylor expansion of 1/2 in x 5.859 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.859 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.859 * [taylor]: Taking taylor expansion of 2 in x 5.859 * [taylor]: Taking taylor expansion of x in x 5.859 * [taylor]: Taking taylor expansion of eps in x 5.860 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.860 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.860 * [taylor]: Taking taylor expansion of 1/2 in eps 5.860 * [taylor]: Taking taylor expansion of eps in eps 5.863 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 5.863 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.863 * [taylor]: Taking taylor expansion of 1/2 in eps 5.863 * [taylor]: Taking taylor expansion of eps in eps 5.867 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps 5.867 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps 5.867 * [taylor]: Taking taylor expansion of 1/2 in eps 5.867 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.867 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.867 * [taylor]: Taking taylor expansion of 1/2 in eps 5.867 * [taylor]: Taking taylor expansion of eps in eps 5.874 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps 5.874 * [taylor]: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps 5.874 * [taylor]: Taking taylor expansion of 1/6 in eps 5.874 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 5.874 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.874 * [taylor]: Taking taylor expansion of 1/2 in eps 5.874 * [taylor]: Taking taylor expansion of eps in eps 5.876 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 5.876 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.876 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.876 * [taylor]: Taking taylor expansion of 1/2 in eps 5.876 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.876 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.876 * [taylor]: Taking taylor expansion of eps in eps 5.876 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.876 * [taylor]: Taking taylor expansion of 2 in eps 5.876 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.876 * [taylor]: Taking taylor expansion of x in eps 5.877 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.877 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.877 * [taylor]: Taking taylor expansion of 1/2 in x 5.877 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.877 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.877 * [taylor]: Taking taylor expansion of eps in x 5.877 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.877 * [taylor]: Taking taylor expansion of 2 in x 5.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.877 * [taylor]: Taking taylor expansion of x in x 5.878 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.878 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.878 * [taylor]: Taking taylor expansion of 1/2 in x 5.878 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.878 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.878 * [taylor]: Taking taylor expansion of eps in x 5.878 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.878 * [taylor]: Taking taylor expansion of 2 in x 5.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.878 * [taylor]: Taking taylor expansion of x in x 5.879 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.879 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.879 * [taylor]: Taking taylor expansion of 1/2 in eps 5.879 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.879 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.879 * [taylor]: Taking taylor expansion of eps in eps 5.880 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.880 * [taylor]: Taking taylor expansion of 2 in eps 5.880 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.880 * [taylor]: Taking taylor expansion of x in eps 5.880 * [taylor]: Taking taylor expansion of 0 in eps 5.880 * [taylor]: Taking taylor expansion of 0 in eps 5.881 * [taylor]: Taking taylor expansion of 0 in eps 5.881 * [approximate]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 5.881 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.881 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.881 * [taylor]: Taking taylor expansion of -1/2 in eps 5.881 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.881 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.881 * [taylor]: Taking taylor expansion of eps in eps 5.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.881 * [taylor]: Taking taylor expansion of 2 in eps 5.881 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.881 * [taylor]: Taking taylor expansion of x in eps 5.882 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.882 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.882 * [taylor]: Taking taylor expansion of -1/2 in x 5.882 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.882 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.882 * [taylor]: Taking taylor expansion of eps in x 5.882 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.882 * [taylor]: Taking taylor expansion of 2 in x 5.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.882 * [taylor]: Taking taylor expansion of x in x 5.883 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.883 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.883 * [taylor]: Taking taylor expansion of -1/2 in x 5.883 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.883 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.883 * [taylor]: Taking taylor expansion of eps in x 5.883 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.883 * [taylor]: Taking taylor expansion of 2 in x 5.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.883 * [taylor]: Taking taylor expansion of x in x 5.885 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.885 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.885 * [taylor]: Taking taylor expansion of -1/2 in eps 5.885 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.885 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.885 * [taylor]: Taking taylor expansion of eps in eps 5.885 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.885 * [taylor]: Taking taylor expansion of 2 in eps 5.885 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.885 * [taylor]: Taking taylor expansion of x in eps 5.886 * [taylor]: Taking taylor expansion of 0 in eps 5.886 * [taylor]: Taking taylor expansion of 0 in eps 5.886 * [taylor]: Taking taylor expansion of 0 in eps 5.886 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 5.886 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0 5.886 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 5.886 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 5.886 * [taylor]: Taking taylor expansion of 1/2 in eps 5.886 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 5.886 * [taylor]: Taking taylor expansion of (* 2 x) in eps 5.886 * [taylor]: Taking taylor expansion of 2 in eps 5.886 * [taylor]: Taking taylor expansion of x in eps 5.886 * [taylor]: Taking taylor expansion of eps in eps 5.886 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 5.886 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 5.886 * [taylor]: Taking taylor expansion of 1/2 in x 5.886 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.886 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.886 * [taylor]: Taking taylor expansion of 2 in x 5.886 * [taylor]: Taking taylor expansion of x in x 5.886 * [taylor]: Taking taylor expansion of eps in x 5.887 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 5.887 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 5.887 * [taylor]: Taking taylor expansion of 1/2 in x 5.887 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.887 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.887 * [taylor]: Taking taylor expansion of 2 in x 5.887 * [taylor]: Taking taylor expansion of x in x 5.887 * [taylor]: Taking taylor expansion of eps in x 5.887 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.887 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.887 * [taylor]: Taking taylor expansion of 1/2 in eps 5.887 * [taylor]: Taking taylor expansion of eps in eps 5.890 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 5.890 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.890 * [taylor]: Taking taylor expansion of 1/2 in eps 5.890 * [taylor]: Taking taylor expansion of eps in eps 5.895 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps 5.895 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps 5.895 * [taylor]: Taking taylor expansion of 1/2 in eps 5.895 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.895 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.895 * [taylor]: Taking taylor expansion of 1/2 in eps 5.895 * [taylor]: Taking taylor expansion of eps in eps 5.902 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps 5.902 * [taylor]: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps 5.902 * [taylor]: Taking taylor expansion of 1/6 in eps 5.902 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 5.902 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.902 * [taylor]: Taking taylor expansion of 1/2 in eps 5.902 * [taylor]: Taking taylor expansion of eps in eps 5.904 * [approximate]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 5.904 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.904 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.904 * [taylor]: Taking taylor expansion of 1/2 in eps 5.904 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.904 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.904 * [taylor]: Taking taylor expansion of eps in eps 5.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.904 * [taylor]: Taking taylor expansion of 2 in eps 5.904 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.904 * [taylor]: Taking taylor expansion of x in eps 5.905 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.905 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.905 * [taylor]: Taking taylor expansion of 1/2 in x 5.905 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.905 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.905 * [taylor]: Taking taylor expansion of eps in x 5.905 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.905 * [taylor]: Taking taylor expansion of 2 in x 5.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.905 * [taylor]: Taking taylor expansion of x in x 5.906 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.906 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.906 * [taylor]: Taking taylor expansion of 1/2 in x 5.906 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.906 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.906 * [taylor]: Taking taylor expansion of eps in x 5.906 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.906 * [taylor]: Taking taylor expansion of 2 in x 5.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.907 * [taylor]: Taking taylor expansion of x in x 5.908 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.908 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.908 * [taylor]: Taking taylor expansion of 1/2 in eps 5.908 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.908 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.908 * [taylor]: Taking taylor expansion of eps in eps 5.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.908 * [taylor]: Taking taylor expansion of 2 in eps 5.908 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.908 * [taylor]: Taking taylor expansion of x in eps 5.909 * [taylor]: Taking taylor expansion of 0 in eps 5.909 * [taylor]: Taking taylor expansion of 0 in eps 5.909 * [taylor]: Taking taylor expansion of 0 in eps 5.909 * [approximate]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0 5.909 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.909 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.909 * [taylor]: Taking taylor expansion of -1/2 in eps 5.909 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.909 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.909 * [taylor]: Taking taylor expansion of eps in eps 5.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.910 * [taylor]: Taking taylor expansion of 2 in eps 5.910 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.910 * [taylor]: Taking taylor expansion of x in eps 5.910 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.910 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.910 * [taylor]: Taking taylor expansion of -1/2 in x 5.910 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.910 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.910 * [taylor]: Taking taylor expansion of eps in x 5.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.910 * [taylor]: Taking taylor expansion of 2 in x 5.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.911 * [taylor]: Taking taylor expansion of x in x 5.912 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.912 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.912 * [taylor]: Taking taylor expansion of -1/2 in x 5.912 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.912 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.912 * [taylor]: Taking taylor expansion of eps in x 5.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.912 * [taylor]: Taking taylor expansion of 2 in x 5.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.912 * [taylor]: Taking taylor expansion of x in x 5.913 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.913 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.913 * [taylor]: Taking taylor expansion of -1/2 in eps 5.913 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.913 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.913 * [taylor]: Taking taylor expansion of eps in eps 5.913 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.913 * [taylor]: Taking taylor expansion of 2 in eps 5.913 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.913 * [taylor]: Taking taylor expansion of x in eps 5.914 * [taylor]: Taking taylor expansion of 0 in eps 5.914 * [taylor]: Taking taylor expansion of 0 in eps 5.914 * [taylor]: Taking taylor expansion of 0 in eps 5.914 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.914 * [approximate]: Taking taylor expansion of (pow (sin (* 1/2 (+ (* 2 x) eps))) 1/3) in (x eps) around 0 5.915 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (* 2 x) eps))) 1/3) in eps 5.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps)))))) in eps 5.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps))))) in eps 5.915 * [taylor]: Taking taylor expansion of 1/3 in eps 5.915 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (* 2 x) eps)))) in eps 5.915 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in eps 5.915 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps 5.915 * [taylor]: Taking taylor expansion of 1/2 in eps 5.915 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps 5.915 * [taylor]: Taking taylor expansion of (* 2 x) in eps 5.915 * [taylor]: Taking taylor expansion of 2 in eps 5.915 * [taylor]: Taking taylor expansion of x in eps 5.915 * [taylor]: Taking taylor expansion of eps in eps 5.915 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (* 2 x) eps))) 1/3) in x 5.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps)))))) in x 5.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps))))) in x 5.915 * [taylor]: Taking taylor expansion of 1/3 in x 5.915 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (* 2 x) eps)))) in x 5.915 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 5.915 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 5.915 * [taylor]: Taking taylor expansion of 1/2 in x 5.915 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.915 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.915 * [taylor]: Taking taylor expansion of 2 in x 5.915 * [taylor]: Taking taylor expansion of x in x 5.915 * [taylor]: Taking taylor expansion of eps in x 5.916 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (* 2 x) eps))) 1/3) in x 5.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps)))))) in x 5.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (* 2 x) eps))))) in x 5.916 * [taylor]: Taking taylor expansion of 1/3 in x 5.916 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (* 2 x) eps)))) in x 5.916 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (* 2 x) eps))) in x 5.916 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x 5.916 * [taylor]: Taking taylor expansion of 1/2 in x 5.916 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x 5.916 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.916 * [taylor]: Taking taylor expansion of 2 in x 5.916 * [taylor]: Taking taylor expansion of x in x 5.916 * [taylor]: Taking taylor expansion of eps in x 5.917 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 1/3) in eps 5.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 eps))))) in eps 5.917 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 eps)))) in eps 5.917 * [taylor]: Taking taylor expansion of 1/3 in eps 5.917 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps 5.917 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.917 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.917 * [taylor]: Taking taylor expansion of 1/2 in eps 5.917 * [taylor]: Taking taylor expansion of eps in eps 5.925 * [taylor]: Taking taylor expansion of (* 1/3 (* (cos (* 1/2 eps)) (pow (/ 1 (pow (sin (* 1/2 eps)) 2)) 1/3))) in eps 5.925 * [taylor]: Taking taylor expansion of 1/3 in eps 5.925 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 eps)) (pow (/ 1 (pow (sin (* 1/2 eps)) 2)) 1/3)) in eps 5.925 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 5.925 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.925 * [taylor]: Taking taylor expansion of 1/2 in eps 5.925 * [taylor]: Taking taylor expansion of eps in eps 5.926 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sin (* 1/2 eps)) 2)) 1/3) in eps 5.926 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (sin (* 1/2 eps)) 2))))) in eps 5.926 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (sin (* 1/2 eps)) 2)))) in eps 5.926 * [taylor]: Taking taylor expansion of 1/3 in eps 5.926 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sin (* 1/2 eps)) 2))) in eps 5.926 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin (* 1/2 eps)) 2)) in eps 5.926 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps 5.926 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.926 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.926 * [taylor]: Taking taylor expansion of 1/2 in eps 5.926 * [taylor]: Taking taylor expansion of eps in eps 5.938 * [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 5.938 * [taylor]: Taking taylor expansion of -1 in eps 5.938 * [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 5.938 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 1/3) in eps 5.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 eps))))) in eps 5.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 eps)))) in eps 5.938 * [taylor]: Taking taylor expansion of 1/3 in eps 5.938 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps 5.938 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.938 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.938 * [taylor]: Taking taylor expansion of 1/2 in eps 5.938 * [taylor]: Taking taylor expansion of eps in eps 5.941 * [taylor]: Taking taylor expansion of (+ (* 1/9 (/ (pow (cos (* 1/2 eps)) 2) (pow (sin (* 1/2 eps)) 2))) 1/6) in eps 5.941 * [taylor]: Taking taylor expansion of (* 1/9 (/ (pow (cos (* 1/2 eps)) 2) (pow (sin (* 1/2 eps)) 2))) in eps 5.941 * [taylor]: Taking taylor expansion of 1/9 in eps 5.941 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 eps)) 2) (pow (sin (* 1/2 eps)) 2)) in eps 5.941 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 eps)) 2) in eps 5.941 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps 5.941 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.941 * [taylor]: Taking taylor expansion of 1/2 in eps 5.941 * [taylor]: Taking taylor expansion of eps in eps 5.942 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps 5.942 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps 5.942 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps 5.942 * [taylor]: Taking taylor expansion of 1/2 in eps 5.942 * [taylor]: Taking taylor expansion of eps in eps 5.944 * [taylor]: Taking taylor expansion of 1/6 in eps 5.966 * [approximate]: Taking taylor expansion of (pow (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in (x eps) around 0 5.966 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in eps 5.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in eps 5.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 5.966 * [taylor]: Taking taylor expansion of 1/3 in eps 5.966 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 5.966 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.966 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.966 * [taylor]: Taking taylor expansion of 1/2 in eps 5.966 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.966 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.966 * [taylor]: Taking taylor expansion of eps in eps 5.966 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.966 * [taylor]: Taking taylor expansion of 2 in eps 5.966 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.966 * [taylor]: Taking taylor expansion of x in eps 5.967 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in x 5.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x 5.967 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 5.967 * [taylor]: Taking taylor expansion of 1/3 in x 5.967 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 5.967 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.967 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.967 * [taylor]: Taking taylor expansion of 1/2 in x 5.967 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.967 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.967 * [taylor]: Taking taylor expansion of eps in x 5.968 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.968 * [taylor]: Taking taylor expansion of 2 in x 5.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.968 * [taylor]: Taking taylor expansion of x in x 5.969 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in x 5.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x 5.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 5.969 * [taylor]: Taking taylor expansion of 1/3 in x 5.969 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 5.969 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.969 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.969 * [taylor]: Taking taylor expansion of 1/2 in x 5.969 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.969 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.969 * [taylor]: Taking taylor expansion of eps in x 5.969 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.969 * [taylor]: Taking taylor expansion of 2 in x 5.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.969 * [taylor]: Taking taylor expansion of x in x 5.971 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in eps 5.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in eps 5.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 5.971 * [taylor]: Taking taylor expansion of 1/3 in eps 5.971 * [taylor]: Taking taylor expansion of (log (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 5.971 * [taylor]: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.971 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.971 * [taylor]: Taking taylor expansion of 1/2 in eps 5.971 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.971 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.971 * [taylor]: Taking taylor expansion of eps in eps 5.971 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.971 * [taylor]: Taking taylor expansion of 2 in eps 5.971 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.971 * [taylor]: Taking taylor expansion of x in eps 5.974 * [taylor]: Taking taylor expansion of 0 in eps 5.978 * [taylor]: Taking taylor expansion of 0 in eps 5.984 * [taylor]: Taking taylor expansion of 0 in eps 5.985 * [approximate]: Taking taylor expansion of (pow (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in (x eps) around 0 5.985 * [taylor]: Taking taylor expansion of (pow (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in eps 5.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in eps 5.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 5.985 * [taylor]: Taking taylor expansion of 1/3 in eps 5.985 * [taylor]: Taking taylor expansion of (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 5.985 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.985 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.985 * [taylor]: Taking taylor expansion of -1/2 in eps 5.985 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.985 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.985 * [taylor]: Taking taylor expansion of eps in eps 5.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.985 * [taylor]: Taking taylor expansion of 2 in eps 5.985 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.985 * [taylor]: Taking taylor expansion of x in eps 5.986 * [taylor]: Taking taylor expansion of (pow (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in x 5.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x 5.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 5.986 * [taylor]: Taking taylor expansion of 1/3 in x 5.986 * [taylor]: Taking taylor expansion of (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 5.986 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.987 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.987 * [taylor]: Taking taylor expansion of -1/2 in x 5.987 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.987 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.987 * [taylor]: Taking taylor expansion of eps in x 5.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.987 * [taylor]: Taking taylor expansion of 2 in x 5.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.987 * [taylor]: Taking taylor expansion of x in x 5.988 * [taylor]: Taking taylor expansion of (pow (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in x 5.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in x 5.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in x 5.988 * [taylor]: Taking taylor expansion of 1/3 in x 5.988 * [taylor]: Taking taylor expansion of (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x 5.988 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x 5.988 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x 5.988 * [taylor]: Taking taylor expansion of -1/2 in x 5.988 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x 5.988 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 5.988 * [taylor]: Taking taylor expansion of eps in x 5.988 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.988 * [taylor]: Taking taylor expansion of 2 in x 5.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.988 * [taylor]: Taking taylor expansion of x in x 5.990 * [taylor]: Taking taylor expansion of (pow (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1/3) in eps 5.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) in eps 5.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps 5.990 * [taylor]: Taking taylor expansion of 1/3 in eps 5.990 * [taylor]: Taking taylor expansion of (log (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps 5.990 * [taylor]: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps 5.990 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps 5.990 * [taylor]: Taking taylor expansion of -1/2 in eps 5.990 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps 5.990 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 5.990 * [taylor]: Taking taylor expansion of eps in eps 5.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps 5.990 * [taylor]: Taking taylor expansion of 2 in eps 5.990 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 5.990 * [taylor]: Taking taylor expansion of x in eps 5.993 * [taylor]: Taking taylor expansion of 0 in eps 5.997 * [taylor]: Taking taylor expansion of 0 in eps 6.007 * [taylor]: Taking taylor expansion of 0 in eps 6.007 * * * [progress]: simplifying candidates 6.008 * [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) 6.010 * * [simplify]: iteration 0 : 57 enodes (cost 570 ) 6.021 * * [simplify]: iteration 1 : 119 enodes (cost 567 ) 6.046 * * [simplify]: iteration 2 : 256 enodes (cost 501 ) 6.117 * * [simplify]: iteration 3 : 773 enodes (cost 493 ) 6.739 * * [simplify]: iteration 4 : 4220 enodes (cost 483 ) 8.240 * * [simplify]: iteration done : 5000 enodes (cost 483 ) 8.240 * [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 (* 1/2 (+ (* 2 x) eps))) (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))) (+ (* (+ (* (* x x) -7/81) 1) (cbrt (* 1/2 eps))) (* (cbrt (* 4 (pow eps -2))) (* 1/3 x))) (cbrt (sin (/ (+ (+ x eps) x) 2))) (cbrt (sin (/ (+ (+ x eps) x) 2))) 8.240 * * * [progress]: adding candidates to table 8.402 * [progress]: [Phase 3 of 3] Extracting. 8.402 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 8.406 * * * [regime-changes]: Trying 3 branch expressions: ((- (cos (+ x eps)) (cos x)) eps x) 8.406 * * * * [regimes]: Trying to branch on (- (cos (+ x eps)) (cos x)) from (# # # # # # # # # # # # # #) 8.475 * * * * [regimes]: Trying to branch on eps from (# # # # # # # # # # # # # #) 8.546 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 8.645 * * * [regime]: Found split indices: #