0.232 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.092 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.094 * [simplify]: Simplifying using # : (- (cos (+ x eps)) (cos x)) 0.095 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.096 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.097 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.098 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.098 * [simplify]: Simplified to: (- (cos (+ x eps)) (cos x)) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.100 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.108 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.112 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.119 * * * [progress]: generating series expansions 0.119 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.119 * [approximate]: Taking taylor expansion of (cos (+ x eps)) in (x eps) around 0 0.119 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in eps 0.119 * [taylor]: Taking taylor expansion of (+ x eps) in eps 0.119 * [taylor]: Taking taylor expansion of x in eps 0.119 * [taylor]: Taking taylor expansion of eps in eps 0.119 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.119 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of eps in x 0.119 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.119 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of eps in x 0.120 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.120 * [taylor]: Taking taylor expansion of eps in eps 0.123 * [taylor]: Taking taylor expansion of (- (sin eps)) in eps 0.123 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.123 * [taylor]: Taking taylor expansion of eps in eps 0.126 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos eps))) in eps 0.126 * [taylor]: Taking taylor expansion of (* 1/2 (cos eps)) in eps 0.126 * [taylor]: Taking taylor expansion of 1/2 in eps 0.126 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.126 * [taylor]: Taking taylor expansion of eps in eps 0.127 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in (x eps) around 0 0.127 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.128 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.128 * [taylor]: Taking taylor expansion of eps in eps 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.128 * [taylor]: Taking taylor expansion of x in eps 0.128 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.128 * [taylor]: Taking taylor expansion of eps in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.129 * [taylor]: Taking taylor expansion of eps in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.130 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.130 * [taylor]: Taking taylor expansion of eps in eps 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.130 * [taylor]: Taking taylor expansion of x in eps 0.131 * [taylor]: Taking taylor expansion of 0 in eps 0.131 * [taylor]: Taking taylor expansion of 0 in eps 0.131 * [taylor]: Taking taylor expansion of 0 in eps 0.131 * [approximate]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in (x eps) around 0 0.131 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.131 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.131 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.131 * [taylor]: Taking taylor expansion of eps in eps 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.132 * [taylor]: Taking taylor expansion of x in eps 0.132 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in x 0.132 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.132 * [taylor]: Taking taylor expansion of eps in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in x 0.133 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.133 * [taylor]: Taking taylor expansion of eps in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.134 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.134 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.134 * [taylor]: Taking taylor expansion of eps in eps 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.135 * [taylor]: Taking taylor expansion of x in eps 0.135 * [taylor]: Taking taylor expansion of 0 in eps 0.135 * [taylor]: Taking taylor expansion of 0 in eps 0.135 * [taylor]: Taking taylor expansion of 0 in eps 0.136 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.136 * [approximate]: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in (x eps) around 0 0.136 * [taylor]: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in eps 0.136 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in eps 0.136 * [taylor]: Taking taylor expansion of (+ x eps) in eps 0.136 * [taylor]: Taking taylor expansion of x in eps 0.136 * [taylor]: Taking taylor expansion of eps in eps 0.136 * [taylor]: Taking taylor expansion of (cos x) in eps 0.136 * [taylor]: Taking taylor expansion of x in eps 0.136 * [taylor]: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in x 0.136 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.136 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of eps in x 0.136 * [taylor]: Taking taylor expansion of (cos x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in x 0.136 * [taylor]: Taking taylor expansion of (cos (+ x eps)) in x 0.136 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of eps in x 0.136 * [taylor]: Taking taylor expansion of (cos x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in eps 0.137 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.137 * [taylor]: Taking taylor expansion of eps in eps 0.137 * [taylor]: Taking taylor expansion of 1 in eps 0.140 * [taylor]: Taking taylor expansion of (- (sin eps)) in eps 0.140 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.140 * [taylor]: Taking taylor expansion of eps in eps 0.144 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (cos eps))) in eps 0.144 * [taylor]: Taking taylor expansion of 1/2 in eps 0.144 * [taylor]: Taking taylor expansion of (* 1/2 (cos eps)) in eps 0.144 * [taylor]: Taking taylor expansion of 1/2 in eps 0.144 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.144 * [taylor]: Taking taylor expansion of eps in eps 0.150 * [taylor]: Taking taylor expansion of (* 1/6 (sin eps)) in eps 0.151 * [taylor]: Taking taylor expansion of 1/6 in eps 0.151 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.151 * [taylor]: Taking taylor expansion of eps in eps 0.160 * [taylor]: Taking taylor expansion of (- (* 1/24 (cos eps)) 1/24) in eps 0.160 * [taylor]: Taking taylor expansion of (* 1/24 (cos eps)) in eps 0.160 * [taylor]: Taking taylor expansion of 1/24 in eps 0.160 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.160 * [taylor]: Taking taylor expansion of eps in eps 0.160 * [taylor]: Taking taylor expansion of 1/24 in eps 0.162 * [approximate]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in (x eps) around 0 0.162 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in eps 0.162 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.162 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.162 * [taylor]: Taking taylor expansion of eps in eps 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.162 * [taylor]: Taking taylor expansion of x in eps 0.163 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.163 * [taylor]: Taking taylor expansion of x in eps 0.163 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in x 0.163 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.163 * [taylor]: Taking taylor expansion of eps in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.164 * [taylor]: Taking taylor expansion of eps in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in eps 0.165 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 eps) (/ 1 x))) in eps 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.165 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.165 * [taylor]: Taking taylor expansion of eps in eps 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.166 * [taylor]: Taking taylor expansion of x in eps 0.166 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.166 * [taylor]: Taking taylor expansion of x in eps 0.167 * [taylor]: Taking taylor expansion of 0 in eps 0.174 * [taylor]: Taking taylor expansion of 0 in eps 0.177 * [taylor]: Taking taylor expansion of 0 in eps 0.177 * [approximate]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in (x eps) around 0 0.177 * [taylor]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in eps 0.177 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.177 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.177 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.177 * [taylor]: Taking taylor expansion of eps in eps 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.178 * [taylor]: Taking taylor expansion of x in eps 0.178 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.178 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.178 * [taylor]: Taking taylor expansion of -1 in eps 0.178 * [taylor]: Taking taylor expansion of x in eps 0.179 * [taylor]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in x 0.179 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in x 0.179 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.179 * [taylor]: Taking taylor expansion of eps in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.180 * [taylor]: Taking taylor expansion of -1 in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in x 0.180 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in x 0.180 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.180 * [taylor]: Taking taylor expansion of eps in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.181 * [taylor]: Taking taylor expansion of -1 in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in eps 0.182 * [taylor]: Taking taylor expansion of (cos (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.182 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.182 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.182 * [taylor]: Taking taylor expansion of eps in eps 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.182 * [taylor]: Taking taylor expansion of x in eps 0.183 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.183 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.183 * [taylor]: Taking taylor expansion of -1 in eps 0.183 * [taylor]: Taking taylor expansion of x in eps 0.184 * [taylor]: Taking taylor expansion of 0 in eps 0.187 * [taylor]: Taking taylor expansion of 0 in eps 0.191 * [taylor]: Taking taylor expansion of 0 in eps 0.191 * * * [progress]: simplifying candidates 0.191 * [simplify]: Simplifying using # : (* (cos x) (cos eps)) (* (sin x) (sin eps)) (log (cos (+ x eps))) (exp (cos (+ x eps))) (* (cbrt (cos (+ x eps))) (cbrt (cos (+ x eps)))) (cbrt (cos (+ x eps))) (* (* (cos (+ x eps)) (cos (+ x eps))) (cos (+ x eps))) (sqrt (cos (+ x eps))) (sqrt (cos (+ x eps))) (* (sin (/ (- (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (/ (exp (cos (+ x eps))) (exp (cos x))) (log (- (cos (+ x eps)) (cos x))) (exp (- (cos (+ x eps)) (cos x))) (* (cbrt (- (cos (+ x eps)) (cos x))) (cbrt (- (cos (+ x eps)) (cos x)))) (cbrt (- (cos (+ x eps)) (cos x))) (* (* (- (cos (+ x eps)) (cos x)) (- (cos (+ x eps)) (cos x))) (- (cos (+ x eps)) (cos x))) (sqrt (- (cos (+ x eps)) (cos x))) (sqrt (- (cos (+ x eps)) (cos x))) (- (pow (cos (+ x eps)) 3) (pow (cos x) 3)) (+ (* (cos (+ x eps)) (cos (+ x eps))) (+ (* (cos x) (cos x)) (* (cos (+ x eps)) (cos x)))) (- (cos x)) (- (* (cos (+ x eps)) (cos (+ x eps))) (* (cos x) (cos x))) (+ (cos (+ x eps)) (cos x)) (+ (sqrt (cos (+ x eps))) (sqrt (cos x))) (- (sqrt (cos (+ x eps))) (sqrt (cos x))) (- (cos (+ x eps)) (cos x)) (+ (* (sin x) (sin eps)) (cos x)) (- (cos x)) (- 1 (+ (* x eps) (* 1/2 (pow x 2)))) (cos (+ x eps)) (cos (+ x eps)) (- (* 1/6 (* (pow x 3) eps)) (+ (* x eps) (* 1/2 (pow eps 2)))) (- (cos (+ x eps)) (cos x)) (- (cos (+ x eps)) (cos x)) 0.193 * * [simplify]: iteration 0 : 65 enodes (cost 311 ) 0.202 * * [simplify]: iteration 1 : 134 enodes (cost 299 ) 0.221 * * [simplify]: iteration 2 : 280 enodes (cost 283 )