4.079 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.127 * * * [progress]: [2/2] Setting up program. 0.129 * [progress]: [Phase 2 of 3] Improving. 0.130 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.132 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.133 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.134 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.136 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.136 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.136 * * [progress]: iteration 1 / 4 0.136 * * * [progress]: picking best candidate 0.138 * * * * [pick]: Picked # 0.138 * * * [progress]: localizing error 0.145 * * * [progress]: generating rewritten candidates 0.145 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.150 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.157 * * * [progress]: generating series expansions 0.157 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.157 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (cos x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (cos x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.168 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 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 0.178 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.178 * [taylor]: Taking taylor expansion of -1 in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.182 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.182 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (cos x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (sin x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (sin x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.203 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.203 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 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 0.204 * [taylor]: Taking taylor expansion of (sin (/ 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 0.209 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.209 * [taylor]: Taking taylor expansion of -1 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.210 * [taylor]: Taking taylor expansion of -1 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.210 * [taylor]: Taking taylor expansion of -1 in x 0.210 * [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 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.216 * * * [progress]: simplifying candidates 0.217 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos 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)) 0.221 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.225 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.238 * * [simplify]: iteration 2 : 2654 enodes (cost 373 ) 0.294 * * [simplify]: iteration 3 : 5001 enodes (cost 373 ) 0.296 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos 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)) 0.297 * * * [progress]: adding candidates to table 0.417 * * [progress]: iteration 2 / 4 0.417 * * * [progress]: picking best candidate 0.447 * * * * [pick]: Picked # 0.448 * * * [progress]: localizing error 0.458 * * * [progress]: generating rewritten candidates 0.458 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.462 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.469 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.475 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.485 * * * [progress]: generating series expansions 0.485 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.485 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (cos x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (cos x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.496 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.499 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.499 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.500 * [taylor]: Taking taylor expansion of -1 in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.500 * [taylor]: Taking taylor expansion of -1 in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.503 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.503 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (cos x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (sin x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (cos x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (sin x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.528 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.528 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.528 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.529 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.534 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.534 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.534 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.534 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.534 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.534 * [taylor]: Taking taylor expansion of -1 in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.535 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.535 * [taylor]: Taking taylor expansion of -1 in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.535 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.535 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.535 * [taylor]: Taking taylor expansion of -1 in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.536 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.536 * [taylor]: Taking taylor expansion of -1 in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.541 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.541 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 0.541 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.541 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.541 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (cos x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (sin x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.544 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (cos x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (sin x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.551 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 0.551 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.551 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.551 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.552 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.552 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.552 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.566 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.566 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.566 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.566 * [taylor]: Taking taylor expansion of -1 in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.566 * [taylor]: Taking taylor expansion of -1 in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.567 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.567 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.567 * [taylor]: Taking taylor expansion of -1 in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.568 * [taylor]: Taking taylor expansion of -1 in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.581 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.582 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.582 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.582 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (cos x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (sin x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.584 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (cos x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (sin x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.605 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.605 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.606 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.612 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.612 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.612 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.612 * [taylor]: Taking taylor expansion of 1.0 in x 0.612 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.612 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.612 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.613 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.613 * [taylor]: Taking taylor expansion of -1 in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.613 * [taylor]: Taking taylor expansion of -1 in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.618 * * * [progress]: simplifying candidates 0.620 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log 1) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ 1.0 (sin x)))) (log (exp (/ (cos x) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))))) (log (exp (sqrt (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1))) (log (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))))) (log (exp (/ (sqrt (- 1.0 (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- 1.0 (cos x)))) (log (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x)))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (* (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (/ (sqrt (- 1.0 (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp 1) (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (* (* (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos 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)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin 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)) 0.625 * * [simplify]: iteration 0 : 303 enodes (cost 818 ) 0.630 * * [simplify]: iteration 1 : 799 enodes (cost 768 ) 0.644 * * [simplify]: iteration 2 : 2970 enodes (cost 766 ) 0.703 * * [simplify]: iteration 3 : 5001 enodes (cost 766 ) 0.707 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* 2 (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) 0 (/ (- 1.0 (cos x)) (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 1 (- 1.0 (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (pow (exp (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (+ (sqrt 1.0) (sqrt (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E E (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (/ (- 1.0 (cos x)) (sin x)) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (- 1.0 (cos x)) (sin x))) 3) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos 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)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin 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)) 0.708 * * * [progress]: adding candidates to table 0.977 * * [progress]: iteration 3 / 4 0.977 * * * [progress]: picking best candidate 1.007 * * * * [pick]: Picked # 1.007 * * * [progress]: localizing error 1.022 * * * [progress]: generating rewritten candidates 1.022 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1) 1.026 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.035 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.038 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.050 * * * [progress]: generating series expansions 1.050 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1) 1.050 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.050 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.050 * [taylor]: Taking taylor expansion of 1.0 in x 1.050 * [taylor]: Taking taylor expansion of (cos x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.051 * [taylor]: Taking taylor expansion of (cos x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.061 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.061 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.061 * [taylor]: Taking taylor expansion of 1.0 in x 1.061 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.061 * [taylor]: Taking taylor expansion of 1.0 in x 1.061 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.065 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.065 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.065 * [taylor]: Taking taylor expansion of -1 in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.065 * [taylor]: Taking taylor expansion of -1 in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.068 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.069 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.069 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.069 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (cos x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of (sin x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.072 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (cos x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (sin x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.094 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.094 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.095 * [taylor]: Taking taylor expansion of 1.0 in x 1.095 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.100 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.100 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.101 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.101 * [taylor]: Taking taylor expansion of -1 in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.101 * [taylor]: Taking taylor expansion of -1 in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.101 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.101 * [taylor]: Taking taylor expansion of 1.0 in x 1.101 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.101 * [taylor]: Taking taylor expansion of -1 in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.102 * [taylor]: Taking taylor expansion of -1 in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.107 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.107 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 1.107 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [taylor]: Taking taylor expansion of (cos x) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.110 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [taylor]: Taking taylor expansion of (cos x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.131 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.131 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.131 * [taylor]: Taking taylor expansion of 1.0 in x 1.131 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.153 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.153 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.153 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.153 * [taylor]: Taking taylor expansion of -1 in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.154 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.180 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.180 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 1.180 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.180 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.180 * [taylor]: Taking taylor expansion of 1.0 in x 1.180 * [taylor]: Taking taylor expansion of (cos x) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.180 * [taylor]: Taking taylor expansion of (sin x) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.183 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (cos x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (sin x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.190 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 1.190 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.190 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.190 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.190 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.191 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.191 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.191 * [taylor]: Taking taylor expansion of 1.0 in x 1.191 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.205 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 1.205 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.205 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.205 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.205 * [taylor]: Taking taylor expansion of -1 in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.206 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.206 * [taylor]: Taking taylor expansion of -1 in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.206 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.206 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.206 * [taylor]: Taking taylor expansion of 1.0 in x 1.206 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.206 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.207 * [taylor]: Taking taylor expansion of -1 in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.207 * [taylor]: Taking taylor expansion of -1 in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.220 * * * [progress]: simplifying candidates 1.222 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (* (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log 1) (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (log (exp (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (exp (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))))) (log (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1))) (log (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))))) (log (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) 1))) (log (exp (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log 1)) (sqrt (sin x))))) (log (exp (/ (exp (log 1)) 1))) (log (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))))) (log (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) 1))) (log (exp (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log 1)) (sqrt (sin x))))) (log (exp (/ (exp (log 1)) 1))) (log (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt (sin x))))) (log (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1))) (log (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))))) (log (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (exp (log (- 1.0 (cos x)))))) (log (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (exp (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (* (cbrt (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (cbrt (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (cbrt (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (* (* (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (sqrt (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (sqrt (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (exp (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (exp (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x)))) (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1)) (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x)))) (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) 1)) (exp (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (exp (log 1)) (sqrt (sin x)))) (exp (/ (exp (log 1)) 1)) (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x)))) (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) 1)) (exp (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (exp (log 1)) (sqrt (sin x)))) (exp (/ (exp (log 1)) 1)) (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt (sin x)))) (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1)) (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x)))) (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp 1) (exp (exp (log (- 1.0 (cos x))))) (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (exp (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (* (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (* (* (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))) (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (sqrt (exp (/ (exp (log (- 1.0 (cos 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)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) 1.228 * * [simplify]: iteration 0 : 302 enodes (cost 832 ) 1.232 * * [simplify]: iteration 1 : 715 enodes (cost 753 ) 1.242 * * [simplify]: iteration 2 : 2109 enodes (cost 730 ) 1.281 * * [simplify]: iteration 3 : 5001 enodes (cost 702 ) 1.285 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (cbrt (- 1.0 (cos x))) 2) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* 2 (log (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) 0 (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (sqrt (sin x)))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (sqrt (sin x)))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 1 (- 1.0 (cos x)) (- (log (- 1.0 (cos x))) (log (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (* 2 (log (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) 0 (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) 0 (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (pow (log (- 1.0 (cos x))) 3) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (exp (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (exp (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (pow (exp (/ (cbrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (cbrt (- 1.0 (cos x)))) (exp (/ (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x)))) (pow E (pow (exp 2) (log (cbrt (- 1.0 (cos x)))))) (exp (/ (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (cbrt (sin x)))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (exp (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (cbrt (sin x)))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (+ (sqrt 1.0) (sqrt (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (pow (exp (/ (cbrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (cbrt (- 1.0 (cos x)))) (exp (/ (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x)))) (pow E (pow (exp 2) (log (cbrt (- 1.0 (cos x)))))) (exp (/ (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (cbrt (sin x)))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E E (exp (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (exp (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (* (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (pow (exp (/ (- 1.0 (cos x)) (sin x))) 3) (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (sqrt (exp (/ (exp (log (- 1.0 (cos 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)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) 1.285 * * * [progress]: adding candidates to table 1.605 * * [progress]: iteration 4 / 4 1.605 * * * [progress]: picking best candidate 1.639 * * * * [pick]: Picked # 1.639 * * * [progress]: localizing error 1.656 * * * [progress]: generating rewritten candidates 1.656 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1 1 1) 1.660 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 1 1) 1.664 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.673 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.690 * * * [progress]: generating series expansions 1.690 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1 1 1) 1.690 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.690 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.690 * [taylor]: Taking taylor expansion of 1.0 in x 1.690 * [taylor]: Taking taylor expansion of (cos x) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.690 * [taylor]: Taking taylor expansion of 1.0 in x 1.690 * [taylor]: Taking taylor expansion of (cos x) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.705 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.705 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.708 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.708 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.708 * [taylor]: Taking taylor expansion of 1.0 in x 1.708 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.708 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.708 * [taylor]: Taking taylor expansion of -1 in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.709 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.709 * [taylor]: Taking taylor expansion of 1.0 in x 1.709 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.709 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.709 * [taylor]: Taking taylor expansion of -1 in x 1.709 * [taylor]: Taking taylor expansion of x in x 1.712 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 1 1) 1.712 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.712 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.712 * [taylor]: Taking taylor expansion of 1.0 in x 1.712 * [taylor]: Taking taylor expansion of (cos x) in x 1.712 * [taylor]: Taking taylor expansion of x in x 1.712 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.712 * [taylor]: Taking taylor expansion of 1.0 in x 1.712 * [taylor]: Taking taylor expansion of (cos x) in x 1.712 * [taylor]: Taking taylor expansion of x in x 1.722 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.722 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.722 * [taylor]: Taking taylor expansion of 1.0 in x 1.722 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.723 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.726 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.726 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.726 * [taylor]: Taking taylor expansion of 1.0 in x 1.726 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.726 * [taylor]: Taking taylor expansion of -1 in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.726 * [taylor]: Taking taylor expansion of 1.0 in x 1.726 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.726 * [taylor]: Taking taylor expansion of -1 in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.730 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.730 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) in (x) around 0 1.730 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) in x 1.730 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) in x 1.730 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.730 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.730 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.730 * [taylor]: Taking taylor expansion of 1.0 in x 1.730 * [taylor]: Taking taylor expansion of (cos x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [taylor]: Taking taylor expansion of (sin x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.734 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) in x 1.734 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) in x 1.734 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.735 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.735 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.735 * [taylor]: Taking taylor expansion of 1.0 in x 1.735 * [taylor]: Taking taylor expansion of (cos x) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of (sin x) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.789 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))))) in (x) around 0 1.789 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))))) in x 1.789 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))))) in x 1.789 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.789 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.789 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.789 * [taylor]: Taking taylor expansion of 1.0 in x 1.789 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))))) in x 1.792 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))))) in x 1.792 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.792 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.792 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.792 * [taylor]: Taking taylor expansion of 1.0 in x 1.792 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.829 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))))) in (x) around 0 1.829 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))))) in x 1.829 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))))) in x 1.829 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.829 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.829 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.829 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.829 * [taylor]: Taking taylor expansion of -1 in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.829 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.829 * [taylor]: Taking taylor expansion of -1 in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))))) in x 1.831 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))))) in x 1.831 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.831 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.831 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.832 * [taylor]: Taking taylor expansion of 1.0 in x 1.832 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.832 * [taylor]: Taking taylor expansion of -1 in x 1.832 * [taylor]: Taking taylor expansion of x in x 1.832 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.832 * [taylor]: Taking taylor expansion of -1 in x 1.832 * [taylor]: Taking taylor expansion of x in x 1.874 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.874 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) in (x) around 0 1.874 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) in x 1.874 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) in x 1.874 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.875 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.875 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.875 * [taylor]: Taking taylor expansion of 1.0 in x 1.875 * [taylor]: Taking taylor expansion of (cos x) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.875 * [taylor]: Taking taylor expansion of (sin x) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.879 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) in x 1.879 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) in x 1.879 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.879 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.879 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.879 * [taylor]: Taking taylor expansion of 1.0 in x 1.879 * [taylor]: Taking taylor expansion of (cos x) in x 1.879 * [taylor]: Taking taylor expansion of x in x 1.879 * [taylor]: Taking taylor expansion of (sin x) in x 1.879 * [taylor]: Taking taylor expansion of x in x 1.928 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))))) in (x) around 0 1.928 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))))) in x 1.928 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))))) in x 1.928 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.928 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.928 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))))) in x 1.931 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))))) in x 1.931 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.931 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.931 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.931 * [taylor]: Taking taylor expansion of 1.0 in x 1.931 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.974 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))))) in (x) around 0 1.974 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))))) in x 1.974 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))))) in x 1.974 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.974 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.974 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.974 * [taylor]: Taking taylor expansion of 1.0 in x 1.974 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.974 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.974 * [taylor]: Taking taylor expansion of -1 in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.974 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.974 * [taylor]: Taking taylor expansion of -1 in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))))) in x 1.977 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))))) in x 1.977 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.977 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.977 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.977 * [taylor]: Taking taylor expansion of 1.0 in x 1.977 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.977 * [taylor]: Taking taylor expansion of -1 in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.977 * [taylor]: Taking taylor expansion of -1 in x 1.977 * [taylor]: Taking taylor expansion of x in x 2.014 * * * [progress]: simplifying candidates 2.015 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (* (cbrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (cbrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))))) (log (cbrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (* (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))))) (log (sqrt (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt 1)) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log 1) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (log (exp (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (exp (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))))) (log (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1))) (log (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))))) (log (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) 1))) (log (exp (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log 1)) (sqrt (sin x))))) (log (exp (/ (exp (log 1)) 1))) (log (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))))) (log (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) 1))) (log (exp (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log 1)) (sqrt (sin x))))) (log (exp (/ (exp (log 1)) 1))) (log (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt (sin x))))) (log (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1))) (log (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))))) (log (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (exp (log (- 1.0 (cos x)))))) (log (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (exp (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (* (cbrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (cbrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))))) (cbrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (* (* (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (sqrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (sqrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (* (cbrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (cbrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))))) (log (cbrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (* (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))))) (log (sqrt (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt 1)) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log 1) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (log (exp (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (exp (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))))) (log (exp (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1))) (log (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))))) (log (exp (/ (exp (log (sqrt (- 1.0 (cos x))))) 1))) (log (exp (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log 1)) (sqrt (sin x))))) (log (exp (/ (exp (log 1)) 1))) (log (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))))) (log (exp (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) 1))) (log (exp (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (exp (log 1)) (sqrt (sin x))))) (log (exp (/ (exp (log 1)) 1))) (log (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt (sin x))))) (log (exp (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1))) (log (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))))) (log (exp (/ (sqrt (exp (log (- 1.0 (cos x))))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (exp (log (- 1.0 (cos x)))))) (log (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (exp (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (* (cbrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (cbrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))))) (cbrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (* (* (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (sqrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (sqrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos 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)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/48 (pow x 3)) (+ (* 1/480 (pow x 5)) (* 1/4 x))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (+ (* 1/48 (pow x 3)) (+ (* 1/480 (pow x 5)) (* 1/4 x))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) 2.022 * * [simplify]: iteration 0 : 269 enodes (cost 1004 ) 2.025 * * [simplify]: iteration 1 : 600 enodes (cost 918 ) 2.034 * * [simplify]: iteration 2 : 1705 enodes (cost 898 ) 2.069 * * [simplify]: iteration 3 : 5001 enodes (cost 874 ) 2.073 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (cbrt (- 1.0 (cos x))) 2) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (cbrt (- 1.0 (cos x))) 2) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* 2 (log (cbrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))))) (log (cbrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (* (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))))) (log (sqrt (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) 0 (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) 0 (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (/ (- 1.0 (cos x)) (sin x)) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (sqrt (sin x)))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt 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(sin x)))))) (log (sqrt (* (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))))) (log (sqrt (cbrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) 0 (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (log (sqrt (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) 0 (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (/ (- 1.0 (cos x)) (sin x)) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (sqrt (sin x)))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (sqrt (sin x)))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 1 (- 1.0 (cos x)) (log (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (cbrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))))))) (cbrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (pow (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) 3) (sqrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos x)))) (sin x)))))) (sqrt (log (sqrt (exp (/ (exp (log (- 1.0 (cos 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)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/48 (pow x 3)) (+ (* 1/480 (pow x 5)) (* 1/4 x))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (+ (* 1/48 (pow x 3)) (+ (* 1/480 (pow x 5)) (* 1/4 x))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) 2.079 * * * [progress]: adding candidates to table 2.569 * [progress]: [Phase 3 of 3] Extracting. 2.569 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 2.573 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 2.573 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # #) 2.646 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# #) 2.664 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 2.737 * * * [regime]: Found split indices: #