0.190 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.089 * [simplify]: Simplifying using # : (- (sin (+ x eps)) (sin x)) 0.090 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.091 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.092 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.093 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.093 * [simplify]: Simplified to: (- (sin (+ x eps)) (sin x)) 0.093 * * [progress]: iteration 1 / 4 0.093 * * * [progress]: picking best candidate 0.095 * * * * [pick]: Picked # 0.095 * * * [progress]: localizing error 0.103 * * * [progress]: generating rewritten candidates 0.103 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.128 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.132 * * * [progress]: generating series expansions 0.132 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.133 * [approximate]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in (x eps) around 0 0.133 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in eps 0.133 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps 0.133 * [taylor]: Taking taylor expansion of (+ x eps) in eps 0.133 * [taylor]: Taking taylor expansion of x in eps 0.133 * [taylor]: Taking taylor expansion of eps in eps 0.133 * [taylor]: Taking taylor expansion of (sin x) in eps 0.133 * [taylor]: Taking taylor expansion of x in eps 0.133 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x 0.133 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x 0.133 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of eps in x 0.133 * [taylor]: Taking taylor expansion of (sin x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x 0.133 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x 0.133 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of eps in x 0.133 * [taylor]: Taking taylor expansion of (sin x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.134 * [taylor]: Taking taylor expansion of eps in eps 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 (- (* 1/2 (sin eps))) in eps 0.140 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps 0.140 * [taylor]: Taking taylor expansion of 1/2 in eps 0.140 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.140 * [taylor]: Taking taylor expansion of eps in eps 0.146 * [taylor]: Taking taylor expansion of (- 1/6 (* 1/6 (cos eps))) in eps 0.146 * [taylor]: Taking taylor expansion of 1/6 in eps 0.146 * [taylor]: Taking taylor expansion of (* 1/6 (cos eps)) in eps 0.146 * [taylor]: Taking taylor expansion of 1/6 in eps 0.146 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.146 * [taylor]: Taking taylor expansion of eps in eps 0.149 * [approximate]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in (x eps) around 0 0.149 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps 0.149 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.149 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.149 * [taylor]: Taking taylor expansion of eps in eps 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.150 * [taylor]: Taking taylor expansion of x in eps 0.150 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.150 * [taylor]: Taking taylor expansion of x in eps 0.150 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.150 * [taylor]: Taking taylor expansion of eps in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.151 * [taylor]: Taking taylor expansion of eps in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps 0.152 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.152 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.152 * [taylor]: Taking taylor expansion of eps in eps 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.153 * [taylor]: Taking taylor expansion of x in eps 0.153 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.153 * [taylor]: Taking taylor expansion of x in eps 0.154 * [taylor]: Taking taylor expansion of 0 in eps 0.156 * [taylor]: Taking taylor expansion of 0 in eps 0.159 * [taylor]: Taking taylor expansion of 0 in eps 0.160 * [approximate]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in (x eps) around 0 0.160 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps 0.160 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.160 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.160 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.160 * [taylor]: Taking taylor expansion of eps in eps 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.160 * [taylor]: Taking taylor expansion of x in eps 0.161 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.161 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.161 * [taylor]: Taking taylor expansion of -1 in eps 0.161 * [taylor]: Taking taylor expansion of x in eps 0.161 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in x 0.161 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x 0.161 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.161 * [taylor]: Taking taylor expansion of eps in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x 0.162 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.162 * [taylor]: Taking taylor expansion of eps in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.163 * [taylor]: Taking taylor expansion of -1 in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps 0.164 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.164 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.164 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.164 * [taylor]: Taking taylor expansion of eps in eps 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.164 * [taylor]: Taking taylor expansion of x in eps 0.165 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.165 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.165 * [taylor]: Taking taylor expansion of -1 in eps 0.165 * [taylor]: Taking taylor expansion of x in eps 0.166 * [taylor]: Taking taylor expansion of 0 in eps 0.168 * [taylor]: Taking taylor expansion of 0 in eps 0.171 * [taylor]: Taking taylor expansion of 0 in eps 0.171 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.171 * [approximate]: Taking taylor expansion of (sin (+ x eps)) in (x eps) around 0 0.171 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps 0.172 * [taylor]: Taking taylor expansion of (+ x eps) in eps 0.172 * [taylor]: Taking taylor expansion of x in eps 0.172 * [taylor]: Taking taylor expansion of eps in eps 0.172 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x 0.172 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of eps in x 0.172 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x 0.172 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of eps in x 0.172 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.172 * [taylor]: Taking taylor expansion of eps in eps 0.173 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.173 * [taylor]: Taking taylor expansion of eps in eps 0.176 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps 0.176 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps 0.176 * [taylor]: Taking taylor expansion of 1/2 in eps 0.176 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.176 * [taylor]: Taking taylor expansion of eps in eps 0.180 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos eps))) in eps 0.180 * [taylor]: Taking taylor expansion of (* 1/6 (cos eps)) in eps 0.180 * [taylor]: Taking taylor expansion of 1/6 in eps 0.180 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.180 * [taylor]: Taking taylor expansion of eps in eps 0.181 * [approximate]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in (x eps) around 0 0.181 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.181 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.181 * [taylor]: Taking taylor expansion of eps in eps 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.181 * [taylor]: Taking taylor expansion of x in eps 0.182 * [taylor]: Taking taylor expansion of (sin (+ (/ 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 0.182 * [taylor]: Taking taylor expansion of (sin (+ (/ 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 (sin (+ (/ 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 0 in eps 0.184 * [taylor]: Taking taylor expansion of 0 in eps 0.184 * [taylor]: Taking taylor expansion of 0 in eps 0.184 * [approximate]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in (x eps) around 0 0.184 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.184 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.184 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.184 * [taylor]: Taking taylor expansion of eps in eps 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.184 * [taylor]: Taking taylor expansion of x in eps 0.185 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x 0.185 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.185 * [taylor]: Taking taylor expansion of eps in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x 0.186 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.186 * [taylor]: Taking taylor expansion of eps in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.187 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.187 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.187 * [taylor]: Taking taylor expansion of eps in eps 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.187 * [taylor]: Taking taylor expansion of x in eps 0.188 * [taylor]: Taking taylor expansion of 0 in eps 0.188 * [taylor]: Taking taylor expansion of 0 in eps 0.188 * [taylor]: Taking taylor expansion of 0 in eps 0.188 * * * [progress]: simplifying candidates 0.189 * [simplify]: Simplifying using # : (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (/ (exp (sin (+ x eps))) (exp (sin x))) (log (- (sin (+ x eps)) (sin x))) (exp (- (sin (+ x eps)) (sin x))) (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x)))) (cbrt (- (sin (+ x eps)) (sin x))) (* (* (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x))) (- (sin (+ x eps)) (sin x))) (sqrt (- (sin (+ x eps)) (sin x))) (sqrt (- (sin (+ x eps)) (sin x))) (- (pow (sin (+ x eps)) 3) (pow (sin x) 3)) (+ (* (sin (+ x eps)) (sin (+ x eps))) (+ (* (sin x) (sin x)) (* (sin (+ x eps)) (sin x)))) (- (sin x)) (- (* (sin (+ x eps)) (sin (+ x eps))) (* (sin x) (sin x))) (+ (sin (+ x eps)) (sin x)) (+ (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sin (+ x eps)) (sin x)) (- (* (cos x) (sin eps)) (sin x)) (- (sin x)) (* (sin x) (cos eps)) (* (cos x) (sin eps)) (log (sin (+ x eps))) (exp (sin (+ x eps))) (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) (cbrt (sin (+ x eps))) (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps))) (sqrt (sin (+ x eps))) (sqrt (sin (+ x eps))) (- eps (+ (* 1/2 (* x (pow eps 2))) (* 1/2 (* (pow x 2) eps)))) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (- (+ eps x) (* 1/6 (pow x 3))) (sin (+ x eps)) (sin (+ x eps)) 0.191 * * [simplify]: iteration 0 : 64 enodes (cost 309 ) 0.200 * * [simplify]: iteration 1 : 134 enodes (cost 295 )