4.150 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.143 * * * [progress]: [2/2] Setting up program. 0.145 * [progress]: [Phase 2 of 3] Improving. 0.145 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.147 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.148 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.149 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.150 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.151 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.151 * * [progress]: iteration 1 / 4 0.151 * * * [progress]: picking best candidate 0.152 * * * * [pick]: Picked # 0.152 * * * [progress]: localizing error 0.159 * * * [progress]: generating rewritten candidates 0.159 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.161 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.166 * * * [progress]: generating series expansions 0.166 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.166 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (cos x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (cos x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.177 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.180 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 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 0.181 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.181 * [taylor]: Taking taylor expansion of 1.0 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 0.184 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.184 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.184 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [taylor]: Taking taylor expansion of (cos x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (sin x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.187 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (cos x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (sin x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.204 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.211 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.211 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.212 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.213 * [taylor]: Taking taylor expansion of -1 in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.218 * * * [progress]: simplifying candidates 0.218 * [simplify]: Simplifying using # : (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.225 * * [simplify]: iteration 0 : 118 enodes (cost 76 ) 0.227 * * [simplify]: iteration 1 : 303 enodes (cost 76 ) 0.233 * * [simplify]: iteration 2 : 834 enodes (cost 76 ) 0.254 * * [simplify]: iteration 3 : 3535 enodes (cost 75 ) 0.362 * * [simplify]: iteration 4 : 5001 enodes (cost 75 ) 0.363 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- (cos x) 1.0) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.363 * * * [progress]: adding candidates to table 0.395 * * [progress]: iteration 2 / 4 0.395 * * * [progress]: picking best candidate 0.410 * * * * [pick]: Picked # 0.411 * * * [progress]: localizing error 0.421 * * * [progress]: generating rewritten candidates 0.421 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.424 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.427 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.437 * * * [progress]: generating series expansions 0.437 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.437 * [approximate]: Taking taylor expansion of (* 1/240 (pow x 5)) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.437 * [taylor]: Taking taylor expansion of 1/240 in x 0.437 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.438 * [taylor]: Taking taylor expansion of 1/240 in x 0.438 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.453 * [approximate]: Taking taylor expansion of (/ 1/240 (pow x 5)) in (x) around 0 0.453 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.453 * [taylor]: Taking taylor expansion of 1/240 in x 0.453 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.454 * [taylor]: Taking taylor expansion of 1/240 in x 0.454 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.469 * [approximate]: Taking taylor expansion of (/ -1/240 (pow x 5)) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.469 * [taylor]: Taking taylor expansion of -1/240 in x 0.469 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.470 * [taylor]: Taking taylor expansion of -1/240 in x 0.470 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.485 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.485 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 3)) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.485 * [taylor]: Taking taylor expansion of 1/24 in x 0.485 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.485 * [taylor]: Taking taylor expansion of 1/24 in x 0.485 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.496 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 3)) in (x) around 0 0.496 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.496 * [taylor]: Taking taylor expansion of 1/24 in x 0.496 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.497 * [taylor]: Taking taylor expansion of 1/24 in x 0.497 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.508 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 3)) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.508 * [taylor]: Taking taylor expansion of -1/24 in x 0.508 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.509 * [taylor]: Taking taylor expansion of -1/24 in x 0.509 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.522 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.523 * [approximate]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in (x) around 0 0.523 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.523 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.523 * [taylor]: Taking taylor expansion of 1/24 in x 0.523 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.523 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.523 * [taylor]: Taking taylor expansion of 1/240 in x 0.523 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.523 * [taylor]: Taking taylor expansion of 1/2 in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.523 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.523 * [taylor]: Taking taylor expansion of 1/24 in x 0.523 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.523 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.523 * [taylor]: Taking taylor expansion of 1/240 in x 0.523 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.523 * [taylor]: Taking taylor expansion of 1/2 in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.534 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in (x) around 0 0.534 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.534 * [taylor]: Taking taylor expansion of 1/2 in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.534 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.534 * [taylor]: Taking taylor expansion of 1/240 in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.535 * [taylor]: Taking taylor expansion of 1/24 in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.535 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.536 * [taylor]: Taking taylor expansion of 1/2 in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.536 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.536 * [taylor]: Taking taylor expansion of 1/240 in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.536 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.537 * [taylor]: Taking taylor expansion of 1/24 in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.537 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.555 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in (x) around 0 0.555 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in x 0.555 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.555 * [taylor]: Taking taylor expansion of 1/2 in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.556 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.556 * [taylor]: Taking taylor expansion of 1/240 in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.556 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.557 * [taylor]: Taking taylor expansion of 1/24 in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.557 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in x 0.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of 1/2 in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.558 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.558 * [taylor]: Taking taylor expansion of 1/240 in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.559 * [taylor]: Taking taylor expansion of 1/24 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.559 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.577 * * * [progress]: simplifying candidates 0.578 * [simplify]: Simplifying using # : (* 1/240 (pow x (/ 5 2))) (* 1/24 (* x x)) (* 1/24 (pow x (/ 3 2))) (+ (pow (* 1/24 (pow x 3)) 3) (pow (+ (* 1/240 (pow x 5)) (* 1/2 x)) 3)) (+ (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (- (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (* (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (- (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (- (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (+ (* 1/24 (pow x 3)) (* 1/2 x)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 0.580 * * [simplify]: iteration 0 : 101 enodes (cost 96 ) 0.583 * * [simplify]: iteration 1 : 358 enodes (cost 95 ) 0.593 * * [simplify]: iteration 2 : 1892 enodes (cost 95 ) 0.664 * * [simplify]: iteration 3 : 5001 enodes (cost 95 ) 0.665 * [simplify]: Simplified to: (* 1/240 (pow x 5/2)) (* 1/24 (* x x)) (* 1/24 (pow x 3/2)) (+ (pow (* 1/24 (pow x 3)) 3) (pow (+ (* 1/240 (pow x 5)) (* 1/2 x)) 3)) (+ (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (- (+ (* 1/240 (pow x 5)) (* 1/2 x)) (* 1/24 (pow x 3)))) (* 1/576 (* (pow x 3) (pow x 3)))) (+ (- (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* 1/24 (* 1/24 (pow x 6)))) (- (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (+ (* 1/24 (pow x 3)) (* 1/2 x)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 0.665 * * * [progress]: adding candidates to table 0.697 * * [progress]: iteration 3 / 4 0.697 * * * [progress]: picking best candidate 0.710 * * * * [pick]: Picked # 0.710 * * * [progress]: localizing error 0.719 * * * [progress]: generating rewritten candidates 0.719 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.721 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.726 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.728 * * * [progress]: generating series expansions 0.728 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.728 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.728 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [taylor]: Taking taylor expansion of (cos x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [taylor]: Taking taylor expansion of (cos x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.739 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.739 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.742 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.742 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.742 * [taylor]: Taking taylor expansion of -1 in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.749 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.749 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.749 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.749 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of (cos x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (sin x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.752 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.752 * [taylor]: Taking taylor expansion of 1.0 in x 0.752 * [taylor]: Taking taylor expansion of (cos x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (sin x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.769 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.769 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.769 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.770 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.776 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.776 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.776 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.776 * [taylor]: Taking taylor expansion of 1.0 in x 0.776 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.776 * [taylor]: Taking taylor expansion of -1 in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.776 * [taylor]: Taking taylor expansion of -1 in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.777 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.777 * [taylor]: Taking taylor expansion of -1 in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.777 * [taylor]: Taking taylor expansion of -1 in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.782 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.782 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 0.782 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.782 * [taylor]: Taking taylor expansion of (sin x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.783 * [taylor]: Taking taylor expansion of (sin x) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.791 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 0.791 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.791 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.791 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.793 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 0.793 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.793 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.793 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.793 * [taylor]: Taking taylor expansion of -1 in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.793 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.793 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.793 * [taylor]: Taking taylor expansion of -1 in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.795 * * * [progress]: simplifying candidates 0.796 * [simplify]: Simplifying using # : (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (* (- (pow 1.0 3) (pow (cos x) 3)) 1) (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sin x)) (* (- (pow 1.0 3) (pow (cos x) 3)) (- 1)) (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (sin x))) (* (- (pow 1.0 3) (pow (cos x) 3)) 1) (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (/ (sin x) 1)) (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1) (* (+ 1.0 (cos x)) (sin x)) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1)) (* (+ 1.0 (cos x)) (- (sin x))) (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1) (* (+ 1.0 (cos x)) (/ (sin x) 1)) (* (- 1.0 (cos x)) 1) (* (- 1.0 (cos x)) 1) (* (- 1.0 (cos x)) (- 1)) (* (- 1.0 (cos x)) 1) (* (- (pow 1.0 3) (pow (cos x) 3)) (/ 1 (sin x))) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (/ 1 (sin x))) (- 1) (- (sin x)) (/ 1 (sin x)) (/ (sin x) 1) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 0.799 * * [simplify]: iteration 0 : 152 enodes (cost 153 ) 0.803 * * [simplify]: iteration 1 : 582 enodes (cost 153 ) 0.815 * * [simplify]: iteration 2 : 2899 enodes (cost 153 ) 0.874 * * [simplify]: iteration 3 : 5002 enodes (cost 153 ) 0.875 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (- (- (pow 1.0 3) (pow (cos x) 3))) (* (- (sin x)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (- (pow 1.0 3) (pow (cos x) 3)) (* (sin x) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (- (* 1.0 1.0) (* (cos x) (cos x))) (* (sin x) (+ 1.0 (cos x))) (- (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (+ 1.0 (cos x)) (- (sin x))) (- (* 1.0 1.0) (* (cos x) (cos x))) (* (sin x) (+ 1.0 (cos x))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- 1.0 (cos x))) (- 1.0 (cos x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) (- 1) (- (sin x)) (/ 1 (sin x)) (sin x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 0.876 * * * [progress]: adding candidates to table 0.921 * * [progress]: iteration 4 / 4 0.921 * * * [progress]: picking best candidate 0.935 * * * * [pick]: Picked # 0.936 * * * [progress]: localizing error 0.944 * * * [progress]: generating rewritten candidates 0.944 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.946 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.949 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.954 * * * [progress]: generating series expansions 0.954 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.954 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.954 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (cos x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (cos x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.964 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.964 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.964 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.971 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.971 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.971 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.971 * [taylor]: Taking taylor expansion of -1 in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.971 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.971 * [taylor]: Taking taylor expansion of -1 in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.975 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.975 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.975 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.975 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.975 * [taylor]: Taking taylor expansion of 1.0 in x 0.975 * [taylor]: Taking taylor expansion of (cos x) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (sin x) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.978 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.978 * [taylor]: Taking taylor expansion of (cos x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (sin x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.996 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.996 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.997 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.997 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.997 * [taylor]: Taking taylor expansion of x in x 1.002 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.002 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.002 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.002 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.002 * [taylor]: Taking taylor expansion of -1 in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.003 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.003 * [taylor]: Taking taylor expansion of -1 in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.003 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.003 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.003 * [taylor]: Taking taylor expansion of -1 in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.004 * [taylor]: Taking taylor expansion of -1 in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.009 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.009 * [approximate]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in (x) around 0 1.009 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 1.009 * [taylor]: Taking taylor expansion of (sin x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of (cos x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 1.012 * [taylor]: Taking taylor expansion of (sin x) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.012 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * [taylor]: Taking taylor expansion of (cos x) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.029 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.029 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 1.029 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.030 * [taylor]: Taking taylor expansion of 1.0 in x 1.030 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.036 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.036 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 1.036 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.036 * [taylor]: Taking taylor expansion of -1 in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.036 * [taylor]: Taking taylor expansion of -1 in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 1.037 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.037 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.037 * [taylor]: Taking taylor expansion of -1 in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.037 * [taylor]: Taking taylor expansion of 1.0 in x 1.037 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.037 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.037 * [taylor]: Taking taylor expansion of -1 in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.043 * * * [progress]: simplifying candidates 1.044 * [simplify]: Simplifying using # : (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- 1) (- (/ (sin x) (- 1.0 (cos x)))) (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ (/ (sin x) (- 1.0 (cos x))) 1) (/ 1 (sin x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (sin x)) (/ 1 (- (sin x))) (/ 1 1) (- (sin x)) (- (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3))) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (- (* 2 (/ 1 x)) (+ (* 1/360 (pow x 3)) (* 1/6 x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) 1.047 * * [simplify]: iteration 0 : 137 enodes (cost 125 ) 1.050 * * [simplify]: iteration 1 : 435 enodes (cost 123 ) 1.059 * * [simplify]: iteration 2 : 1758 enodes (cost 121 ) 1.103 * * [simplify]: iteration 3 : 5001 enodes (cost 121 ) 1.104 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- 1) (- (/ (sin x) (- 1.0 (cos x)))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ 1 (sin x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (* (/ (- 1.0 (cos x)) (sin x)) (+ 1.0 (cos x))) (/ 1 (sin x)) (/ 1 (- (sin x))) 1 (- (sin x)) (- (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3))) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (- (- (/ 2 x) (* 1/6 x)) (* 1/360 (pow x 3))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) 1.104 * * * [progress]: adding candidates to table 1.151 * [progress]: [Phase 3 of 3] Extracting. 1.151 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 1.152 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.152 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # #) 1.195 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 1.238 * * * [regime]: Found split indices: #