10.558 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.140 * * * [progress]: [2/2] Setting up program. 0.142 * [progress]: [Phase 2 of 3] Improving. 0.142 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.143 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.144 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.145 * * [simplify]: iteration 2 : 14 enodes (cost 7 ) 0.146 * * [simplify]: iteration 3 : 16 enodes (cost 7 ) 0.148 * * [simplify]: iteration done : 16 enodes (cost 7 ) 0.148 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.148 * * [progress]: iteration 1 / 4 0.148 * * * [progress]: picking best candidate 0.150 * * * * [pick]: Picked # 0.150 * * * [progress]: localizing error 0.157 * * * [progress]: generating rewritten candidates 0.157 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.160 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.169 * * * [progress]: generating series expansions 0.170 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.170 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.170 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (cos x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (cos x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.181 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.181 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.181 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.185 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.185 * [taylor]: Taking taylor expansion of -1 in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.189 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.189 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (cos x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (sin x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (cos x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (sin x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.215 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.215 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.223 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.223 * [taylor]: Taking taylor expansion of -1 in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.223 * [taylor]: Taking taylor expansion of -1 in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.224 * [taylor]: Taking taylor expansion of -1 in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.224 * [taylor]: Taking taylor expansion of -1 in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.230 * * * [progress]: simplifying candidates 0.231 * [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)) 0.233 * * [simplify]: iteration 0 : 106 enodes (cost 665 ) 0.252 * * [simplify]: iteration 1 : 235 enodes (cost 645 ) 0.309 * * [simplify]: iteration 2 : 525 enodes (cost 609 ) 0.472 * * [simplify]: iteration 3 : 1299 enodes (cost 609 ) 1.340 * * [simplify]: iteration 4 : 4031 enodes (cost 608 ) 2.314 * * [simplify]: iteration done : 5001 enodes (cost 608 ) 2.314 * [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) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (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))) (- (cos x) 1.0) (- (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 (cos x)) (sqrt 1.0)) (/ (- (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))) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (* (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)) 2.314 * * * [progress]: adding candidates to table 2.450 * * [progress]: iteration 2 / 4 2.450 * * * [progress]: picking best candidate 2.487 * * * * [pick]: Picked # 2.487 * * * [progress]: localizing error 2.498 * * * [progress]: generating rewritten candidates 2.498 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.500 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.503 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.507 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.525 * * * [progress]: generating series expansions 2.525 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.525 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.525 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.525 * [taylor]: Taking taylor expansion of 1.0 in x 2.525 * [taylor]: Taking taylor expansion of (cos x) in x 2.525 * [taylor]: Taking taylor expansion of x in x 2.525 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.525 * [taylor]: Taking taylor expansion of 1.0 in x 2.525 * [taylor]: Taking taylor expansion of (cos x) in x 2.525 * [taylor]: Taking taylor expansion of x in x 2.536 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.536 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.536 * [taylor]: Taking taylor expansion of 1.0 in x 2.536 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.536 * [taylor]: Taking taylor expansion of x in x 2.537 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.537 * [taylor]: Taking taylor expansion of 1.0 in x 2.537 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.537 * [taylor]: Taking taylor expansion of x in x 2.540 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.540 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.540 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.540 * [taylor]: Taking taylor expansion of -1 in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.541 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.541 * [taylor]: Taking taylor expansion of 1.0 in x 2.541 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.541 * [taylor]: Taking taylor expansion of -1 in x 2.541 * [taylor]: Taking taylor expansion of x in x 2.544 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.544 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 2.544 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.544 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.544 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [taylor]: Taking taylor expansion of (cos x) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.547 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.547 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.547 * [taylor]: Taking taylor expansion of 1.0 in x 2.547 * [taylor]: Taking taylor expansion of (cos x) in x 2.547 * [taylor]: Taking taylor expansion of x in x 2.571 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 2.571 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.571 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.571 * [taylor]: Taking taylor expansion of 1.0 in x 2.571 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.571 * [taylor]: Taking taylor expansion of x in x 2.571 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.571 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.572 * [taylor]: Taking taylor expansion of 1.0 in x 2.572 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.595 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 2.595 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.595 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.595 * [taylor]: Taking taylor expansion of 1.0 in x 2.595 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.595 * [taylor]: Taking taylor expansion of -1 in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.596 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.596 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.596 * [taylor]: Taking taylor expansion of 1.0 in x 2.596 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.596 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.596 * [taylor]: Taking taylor expansion of -1 in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.625 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.626 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.626 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.626 * [taylor]: Taking taylor expansion of 1.0 in x 2.626 * [taylor]: Taking taylor expansion of (cos x) in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.626 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.626 * [taylor]: Taking taylor expansion of 1.0 in x 2.626 * [taylor]: Taking taylor expansion of (cos x) in x 2.626 * [taylor]: Taking taylor expansion of x in x 2.637 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.637 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.637 * [taylor]: Taking taylor expansion of 1.0 in x 2.637 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.637 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.637 * [taylor]: Taking taylor expansion of 1.0 in x 2.637 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.641 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.641 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.641 * [taylor]: Taking taylor expansion of 1.0 in x 2.641 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.641 * [taylor]: Taking taylor expansion of -1 in x 2.641 * [taylor]: Taking taylor expansion of x in x 2.641 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.641 * [taylor]: Taking taylor expansion of 1.0 in x 2.641 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.641 * [taylor]: Taking taylor expansion of -1 in x 2.641 * [taylor]: Taking taylor expansion of x in x 2.645 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.645 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 2.645 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.645 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.645 * [taylor]: Taking taylor expansion of 1.0 in x 2.645 * [taylor]: Taking taylor expansion of (cos x) in x 2.645 * [taylor]: Taking taylor expansion of x in x 2.645 * [taylor]: Taking taylor expansion of (sin x) in x 2.645 * [taylor]: Taking taylor expansion of x in x 2.648 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.648 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.649 * [taylor]: Taking taylor expansion of 1.0 in x 2.649 * [taylor]: Taking taylor expansion of (cos x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [taylor]: Taking taylor expansion of (sin x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.668 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 2.668 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.668 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.668 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.669 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.669 * [taylor]: Taking taylor expansion of x in x 2.669 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.669 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.669 * [taylor]: Taking taylor expansion of 1.0 in x 2.669 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.669 * [taylor]: Taking taylor expansion of x in x 2.670 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.670 * [taylor]: Taking taylor expansion of x in x 2.676 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 2.676 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.676 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.676 * [taylor]: Taking taylor expansion of 1.0 in x 2.676 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.676 * [taylor]: Taking taylor expansion of -1 in x 2.676 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.676 * [taylor]: Taking taylor expansion of -1 in x 2.676 * [taylor]: Taking taylor expansion of x in x 2.677 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.677 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.677 * [taylor]: Taking taylor expansion of 1.0 in x 2.677 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.677 * [taylor]: Taking taylor expansion of -1 in x 2.677 * [taylor]: Taking taylor expansion of x in x 2.677 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.677 * [taylor]: Taking taylor expansion of -1 in x 2.677 * [taylor]: Taking taylor expansion of x in x 2.683 * * * [progress]: simplifying candidates 2.684 * [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 (- 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 1) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (exp (log (- 1.0 (cos x)))) (sin x))) (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* (sin x) (sin 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))) (* (* (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (exp (log (- 1.0 (cos x))))) (- (sin x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) 1) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt (sin x))) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) 1) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) 1) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ 1 (sin x)) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (exp (log (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) 1) (/ (sin x) (exp (log (cbrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (sqrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (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) (exp (log (- 1.0 (cos x))))) (* (sin x) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* (sin x) (exp (log (+ 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)) (- (+ (* 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))) (- (+ (* 1/2 (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)) 2.688 * * [simplify]: iteration 0 : 168 enodes (cost 1421 ) 2.724 * * [simplify]: iteration 1 : 290 enodes (cost 1183 ) 2.780 * * [simplify]: iteration 2 : 640 enodes (cost 1121 ) 2.981 * * [simplify]: iteration 3 : 1555 enodes (cost 1107 ) 4.202 * * [simplify]: iteration 4 : 4819 enodes (cost 1088 ) 5.150 * * [simplify]: iteration done : 5000 enodes (cost 1088 ) 5.151 * [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)) (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos 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 (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (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)))) E (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) E (pow (cbrt (- 1.0 (cos x))) 2) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 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) (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))) (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))) (- (cos x) 1.0) (- (sin x)) (/ (pow (cbrt (- 1.0 (cos x))) 2) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (pow (cbrt (- 1.0 (cos x))) 2) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (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 (cos x)) (sqrt 1.0)) (/ (- (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)) (/ (pow (cbrt (- 1.0 (cos x))) 2) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (pow (cbrt (- 1.0 (cos x))) 2) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (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)) (/ 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))) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (+ 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)) (- (+ (* 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))) (- (+ (* 1/2 (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)) 5.152 * * * [progress]: adding candidates to table 5.350 * * [progress]: iteration 3 / 4 5.350 * * * [progress]: picking best candidate 5.390 * * * * [pick]: Picked # 5.390 * * * [progress]: localizing error 5.400 * * * [progress]: generating rewritten candidates 5.401 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 5.403 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.406 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.409 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.424 * * * [progress]: generating series expansions 5.425 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 5.425 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.425 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.425 * [taylor]: Taking taylor expansion of 1.0 in x 5.425 * [taylor]: Taking taylor expansion of (cos x) in x 5.425 * [taylor]: Taking taylor expansion of x in x 5.425 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.425 * [taylor]: Taking taylor expansion of 1.0 in x 5.425 * [taylor]: Taking taylor expansion of (cos x) in x 5.425 * [taylor]: Taking taylor expansion of x in x 5.439 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.439 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.439 * [taylor]: Taking taylor expansion of 1.0 in x 5.439 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.439 * [taylor]: Taking taylor expansion of x in x 5.440 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.440 * [taylor]: Taking taylor expansion of 1.0 in x 5.440 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.440 * [taylor]: Taking taylor expansion of x in x 5.443 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.443 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.443 * [taylor]: Taking taylor expansion of 1.0 in x 5.443 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.443 * [taylor]: Taking taylor expansion of -1 in x 5.443 * [taylor]: Taking taylor expansion of x in x 5.444 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.444 * [taylor]: Taking taylor expansion of 1.0 in x 5.444 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.444 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.444 * [taylor]: Taking taylor expansion of -1 in x 5.444 * [taylor]: Taking taylor expansion of x in x 5.447 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.447 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 5.447 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 5.447 * [taylor]: Taking taylor expansion of 1.0 in x 5.447 * [taylor]: Taking taylor expansion of (cos x) in x 5.447 * [taylor]: Taking taylor expansion of x in x 5.447 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 5.447 * [taylor]: Taking taylor expansion of 1.0 in x 5.447 * [taylor]: Taking taylor expansion of (cos x) in x 5.447 * [taylor]: Taking taylor expansion of x in x 5.452 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 5.452 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.452 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.452 * [taylor]: Taking taylor expansion of x in x 5.452 * [taylor]: Taking taylor expansion of 1.0 in x 5.452 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.452 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.452 * [taylor]: Taking taylor expansion of x in x 5.453 * [taylor]: Taking taylor expansion of 1.0 in x 5.455 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 5.455 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.455 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.455 * [taylor]: Taking taylor expansion of -1 in x 5.455 * [taylor]: Taking taylor expansion of x in x 5.455 * [taylor]: Taking taylor expansion of 1.0 in x 5.455 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.455 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.455 * [taylor]: Taking taylor expansion of -1 in x 5.455 * [taylor]: Taking taylor expansion of x in x 5.455 * [taylor]: Taking taylor expansion of 1.0 in x 5.457 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 5.457 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 5.457 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 5.457 * [taylor]: Taking taylor expansion of 1.0 in x 5.457 * [taylor]: Taking taylor expansion of (cos x) in x 5.457 * [taylor]: Taking taylor expansion of x in x 5.457 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 5.457 * [taylor]: Taking taylor expansion of 1.0 in x 5.457 * [taylor]: Taking taylor expansion of (cos x) in x 5.457 * [taylor]: Taking taylor expansion of x in x 5.462 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 5.462 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.462 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.462 * [taylor]: Taking taylor expansion of x in x 5.463 * [taylor]: Taking taylor expansion of 1.0 in x 5.463 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.463 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.463 * [taylor]: Taking taylor expansion of x in x 5.463 * [taylor]: Taking taylor expansion of 1.0 in x 5.465 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 5.465 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.465 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.465 * [taylor]: Taking taylor expansion of -1 in x 5.465 * [taylor]: Taking taylor expansion of x in x 5.465 * [taylor]: Taking taylor expansion of 1.0 in x 5.465 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.465 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.465 * [taylor]: Taking taylor expansion of -1 in x 5.465 * [taylor]: Taking taylor expansion of x in x 5.466 * [taylor]: Taking taylor expansion of 1.0 in x 5.468 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.468 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.468 * [taylor]: Taking taylor expansion of 1.0 in x 5.468 * [taylor]: Taking taylor expansion of (cos x) in x 5.468 * [taylor]: Taking taylor expansion of x in x 5.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.468 * [taylor]: Taking taylor expansion of 1.0 in x 5.468 * [taylor]: Taking taylor expansion of (cos x) in x 5.468 * [taylor]: Taking taylor expansion of x in x 5.479 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.479 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.479 * [taylor]: Taking taylor expansion of 1.0 in x 5.479 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.479 * [taylor]: Taking taylor expansion of x in x 5.480 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.480 * [taylor]: Taking taylor expansion of 1.0 in x 5.480 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.480 * [taylor]: Taking taylor expansion of x in x 5.483 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.483 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.483 * [taylor]: Taking taylor expansion of 1.0 in x 5.483 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.483 * [taylor]: Taking taylor expansion of -1 in x 5.483 * [taylor]: Taking taylor expansion of x in x 5.484 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.484 * [taylor]: Taking taylor expansion of 1.0 in x 5.484 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.484 * [taylor]: Taking taylor expansion of -1 in x 5.484 * [taylor]: Taking taylor expansion of x in x 5.487 * * * [progress]: simplifying candidates 5.488 * [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 (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (* (exp (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (- (+ (log (+ (cos x) 1.0)) (log (- 1.0 (cos x)))) (log (+ (cos x) 1.0))) (- (log (* (+ (cos x) 1.0) (- 1.0 (cos x)))) (log (+ (cos x) 1.0))) (log (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (exp (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (/ (* (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0))) (/ (* (* (* (+ (cos x) 1.0) (- 1.0 (cos x))) (* (+ (cos x) 1.0) (- 1.0 (cos x)))) (* (+ (cos x) 1.0) (- 1.0 (cos x)))) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0))) (* (cbrt (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (cbrt (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0)))) (cbrt (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (* (* (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0)) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (sqrt (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (sqrt (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0))) (- (* (+ (cos x) 1.0) (- 1.0 (cos x)))) (- (+ (cos x) 1.0)) (/ (+ (cos x) 1.0) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0)))) (/ (- 1.0 (cos x)) (cbrt (+ (cos x) 1.0))) (/ (+ (cos x) 1.0) (sqrt (+ (cos x) 1.0))) (/ (- 1.0 (cos x)) (sqrt (+ (cos x) 1.0))) (/ (+ (cos x) 1.0) 1) (/ (- 1.0 (cos x)) (+ (cos x) 1.0)) (/ (+ (cos x) 1.0) 1) (/ (- 1.0 (cos x)) (+ (cos x) 1.0)) (/ 1 (+ (cos x) 1.0)) (/ (+ (cos x) 1.0) (* (+ (cos x) 1.0) (- 1.0 (cos x)))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0)))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sqrt (+ (cos x) 1.0))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) 1) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) 1) (/ (+ (cos x) 1.0) (- 1.0 (cos x))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (pow (cos x) 3) (pow 1.0 3))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (- (* (cos x) (cos x)) (* 1.0 1.0))) (* (+ (cos x) 1.0) (* (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (+ (cos x) 1.0) (* (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (+ 1.0 (cos x)))) (* (+ (cos x) 1.0) (* (- (cos x) 1.0) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (+ (cos x) 1.0) (* (- (cos x) 1.0) (+ 1.0 (cos x)))) (* (+ (cos x) 1.0) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (+ (cos x) 1.0) (+ 1.0 (cos x))) (* (+ (cos x) 1.0) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0)))) (* (+ (cos x) 1.0) (- (cos x) 1.0)) (- (+ (* 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 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 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)) 5.492 * * [simplify]: iteration 0 : 109 enodes (cost 1033 ) 5.517 * * [simplify]: iteration 1 : 305 enodes (cost 997 ) 5.605 * * [simplify]: iteration 2 : 1148 enodes (cost 793 ) 6.846 * * [simplify]: iteration 3 : 4855 enodes (cost 745 ) 8.124 * * [simplify]: iteration done : 5000 enodes (cost 745 ) 8.125 * [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)) (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (+ (cos x) 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ (cos x) 1.0) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (- (cos x) 1.0)) (* 1.0 1.0)) (* (- (cos x) 1.0) (+ (cos x) 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (exp (+ (cos x) 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ (cos x) 1.0) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (- (cos x) 1.0)) (* 1.0 1.0)) (* (- (cos x) 1.0) (+ (cos x) 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 3) (* (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))) (* (- (cos x) 1.0) (+ (cos x) 1.0)) (- (+ (cos x) 1.0)) (/ (+ (cos x) 1.0) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0)))) (/ (- 1.0 (cos x)) (cbrt (+ (cos x) 1.0))) (/ (+ (cos x) 1.0) (sqrt (+ (cos x) 1.0))) (/ (- 1.0 (cos x)) (sqrt (+ (cos x) 1.0))) (+ (cos x) 1.0) (/ (- 1.0 (cos x)) (+ (cos x) 1.0)) (+ (cos x) 1.0) (/ (- 1.0 (cos x)) (+ (cos x) 1.0)) (/ 1 (+ (cos x) 1.0)) (/ 1 (- 1.0 (cos x))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0)))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sqrt (+ (cos x) 1.0))) (* (+ (cos x) 1.0) (- 1.0 (cos x))) (* (+ (cos x) 1.0) (- 1.0 (cos x))) (/ (+ (cos x) 1.0) (- 1.0 (cos x))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (+ (pow (cos x) 3) (pow 1.0 3))) (/ (- 1.0 (cos x)) (- (cos x) 1.0)) (* (+ (* (cos x) (- (cos x) 1.0)) (* 1.0 1.0)) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (+ (cos x) 1.0))) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (* (cos x) (- (cos x) 1.0)) (* 1.0 1.0))) (* (- (* (cos x) (cos x)) (* 1.0 1.0)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (* (+ (cos x) 1.0) (* (- (cos x) 1.0) (+ 1.0 (cos x)))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (+ (cos x) 1.0)) (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (* (+ (* (cos x) (- (cos x) 1.0)) (* 1.0 1.0)) (+ (cos x) 1.0)) (* (- (cos x) 1.0) (+ (cos x) 1.0)) (- (+ (* 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 4)) 2.0) (* 1/2 (pow x 2))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 8.125 * * * [progress]: adding candidates to table 8.310 * * [progress]: iteration 4 / 4 8.310 * * * [progress]: picking best candidate 8.349 * * * * [pick]: Picked # 8.349 * * * [progress]: localizing error 8.359 * * * [progress]: generating rewritten candidates 8.359 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 8.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 8.375 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.387 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.399 * * * [progress]: generating series expansions 8.399 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 8.400 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 8.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.400 * [taylor]: Taking taylor expansion of 1.0 in x 8.400 * [taylor]: Taking taylor expansion of (cos x) in x 8.400 * [taylor]: Taking taylor expansion of x in x 8.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.400 * [taylor]: Taking taylor expansion of 1.0 in x 8.400 * [taylor]: Taking taylor expansion of (cos x) in x 8.400 * [taylor]: Taking taylor expansion of x in x 8.415 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 8.415 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.415 * [taylor]: Taking taylor expansion of 1.0 in x 8.415 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.415 * [taylor]: Taking taylor expansion of x in x 8.415 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.415 * [taylor]: Taking taylor expansion of 1.0 in x 8.415 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.415 * [taylor]: Taking taylor expansion of x in x 8.419 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 8.419 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.419 * [taylor]: Taking taylor expansion of 1.0 in x 8.419 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.419 * [taylor]: Taking taylor expansion of -1 in x 8.419 * [taylor]: Taking taylor expansion of x in x 8.420 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.420 * [taylor]: Taking taylor expansion of 1.0 in x 8.420 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.420 * [taylor]: Taking taylor expansion of -1 in x 8.420 * [taylor]: Taking taylor expansion of x in x 8.423 * * * * [progress]: [ 2 / 4 ] generating series at (2) 8.424 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 8.424 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 8.424 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.424 * [taylor]: Taking taylor expansion of 1.0 in x 8.424 * [taylor]: Taking taylor expansion of (cos x) in x 8.424 * [taylor]: Taking taylor expansion of x in x 8.424 * [taylor]: Taking taylor expansion of (sin x) in x 8.424 * [taylor]: Taking taylor expansion of x in x 8.427 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 8.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.427 * [taylor]: Taking taylor expansion of 1.0 in x 8.427 * [taylor]: Taking taylor expansion of (cos x) in x 8.427 * [taylor]: Taking taylor expansion of x in x 8.427 * [taylor]: Taking taylor expansion of (sin x) in x 8.427 * [taylor]: Taking taylor expansion of x in x 8.446 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 8.446 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 8.446 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.446 * [taylor]: Taking taylor expansion of 1.0 in x 8.446 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.446 * [taylor]: Taking taylor expansion of x in x 8.446 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.446 * [taylor]: Taking taylor expansion of x in x 8.447 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 8.447 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.447 * [taylor]: Taking taylor expansion of 1.0 in x 8.447 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.447 * [taylor]: Taking taylor expansion of x in x 8.447 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.447 * [taylor]: Taking taylor expansion of x in x 8.453 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 8.453 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 8.453 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.453 * [taylor]: Taking taylor expansion of 1.0 in x 8.453 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.453 * [taylor]: Taking taylor expansion of -1 in x 8.453 * [taylor]: Taking taylor expansion of x in x 8.454 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.454 * [taylor]: Taking taylor expansion of -1 in x 8.454 * [taylor]: Taking taylor expansion of x in x 8.454 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 8.454 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.454 * [taylor]: Taking taylor expansion of 1.0 in x 8.454 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.454 * [taylor]: Taking taylor expansion of -1 in x 8.454 * [taylor]: Taking taylor expansion of x in x 8.455 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.455 * [taylor]: Taking taylor expansion of -1 in x 8.455 * [taylor]: Taking taylor expansion of x in x 8.460 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.460 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 8.460 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 8.460 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 8.460 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.460 * [taylor]: Taking taylor expansion of 1.0 in x 8.460 * [taylor]: Taking taylor expansion of (cos x) in x 8.460 * [taylor]: Taking taylor expansion of x in x 8.460 * [taylor]: Taking taylor expansion of (sin x) in x 8.460 * [taylor]: Taking taylor expansion of x in x 8.464 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 8.464 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 8.464 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.464 * [taylor]: Taking taylor expansion of 1.0 in x 8.464 * [taylor]: Taking taylor expansion of (cos x) in x 8.464 * [taylor]: Taking taylor expansion of x in x 8.464 * [taylor]: Taking taylor expansion of (sin x) in x 8.464 * [taylor]: Taking taylor expansion of x in x 8.471 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 8.471 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 8.471 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 8.471 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.471 * [taylor]: Taking taylor expansion of 1.0 in x 8.471 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.471 * [taylor]: Taking taylor expansion of x in x 8.471 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.472 * [taylor]: Taking taylor expansion of x in x 8.472 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 8.472 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 8.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.472 * [taylor]: Taking taylor expansion of 1.0 in x 8.472 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.472 * [taylor]: Taking taylor expansion of x in x 8.473 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.473 * [taylor]: Taking taylor expansion of x in x 8.488 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 8.488 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 8.488 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 8.488 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.488 * [taylor]: Taking taylor expansion of 1.0 in x 8.488 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.488 * [taylor]: Taking taylor expansion of -1 in x 8.488 * [taylor]: Taking taylor expansion of x in x 8.489 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.489 * [taylor]: Taking taylor expansion of -1 in x 8.489 * [taylor]: Taking taylor expansion of x in x 8.489 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 8.489 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 8.489 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.489 * [taylor]: Taking taylor expansion of 1.0 in x 8.489 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.489 * [taylor]: Taking taylor expansion of -1 in x 8.489 * [taylor]: Taking taylor expansion of x in x 8.490 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.490 * [taylor]: Taking taylor expansion of -1 in x 8.490 * [taylor]: Taking taylor expansion of x in x 8.510 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.510 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 8.510 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 8.510 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.510 * [taylor]: Taking taylor expansion of 1.0 in x 8.510 * [taylor]: Taking taylor expansion of (cos x) in x 8.510 * [taylor]: Taking taylor expansion of x in x 8.510 * [taylor]: Taking taylor expansion of (sin x) in x 8.510 * [taylor]: Taking taylor expansion of x in x 8.513 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 8.513 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.513 * [taylor]: Taking taylor expansion of 1.0 in x 8.513 * [taylor]: Taking taylor expansion of (cos x) in x 8.513 * [taylor]: Taking taylor expansion of x in x 8.513 * [taylor]: Taking taylor expansion of (sin x) in x 8.513 * [taylor]: Taking taylor expansion of x in x 8.533 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 8.533 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 8.533 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.533 * [taylor]: Taking taylor expansion of 1.0 in x 8.533 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.533 * [taylor]: Taking taylor expansion of x in x 8.533 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.533 * [taylor]: Taking taylor expansion of x in x 8.534 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 8.534 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.534 * [taylor]: Taking taylor expansion of 1.0 in x 8.534 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.534 * [taylor]: Taking taylor expansion of x in x 8.534 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.534 * [taylor]: Taking taylor expansion of x in x 8.539 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 8.540 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 8.540 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.540 * [taylor]: Taking taylor expansion of 1.0 in x 8.540 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.540 * [taylor]: Taking taylor expansion of -1 in x 8.540 * [taylor]: Taking taylor expansion of x in x 8.540 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.540 * [taylor]: Taking taylor expansion of -1 in x 8.540 * [taylor]: Taking taylor expansion of x in x 8.541 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 8.541 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.541 * [taylor]: Taking taylor expansion of 1.0 in x 8.541 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.541 * [taylor]: Taking taylor expansion of -1 in x 8.541 * [taylor]: Taking taylor expansion of x in x 8.541 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.541 * [taylor]: Taking taylor expansion of -1 in x 8.541 * [taylor]: Taking taylor expansion of x in x 8.547 * * * [progress]: simplifying candidates 8.548 * [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)) 8.553 * * [simplify]: iteration 0 : 163 enodes (cost 1406 ) 8.585 * * [simplify]: iteration 1 : 305 enodes (cost 1293 ) 8.650 * * [simplify]: iteration 2 : 633 enodes (cost 1220 ) 8.851 * * [simplify]: iteration 3 : 1531 enodes (cost 1218 ) 10.041 * * [simplify]: iteration 4 : 4655 enodes (cost 1217 ) 10.925 * * [simplify]: iteration done : 5000 enodes (cost 1217 ) 10.926 * [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) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (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 (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ 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)))) (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 (cos x)) (sqrt 1.0))) (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))) (- (cos x) 1.0) (- (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 (cos x)) (sqrt 1.0)) (* (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 (cos x)) (sqrt 1.0)) (/ (- (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))) (* (sin x) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (* (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)) (+ (* x (+ 1/2 (* 1/8 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)) 10.927 * * * [progress]: adding candidates to table 11.214 * [progress]: [Phase 3 of 3] Extracting. 11.214 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # #) 11.218 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 11.218 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # # # # # #) 11.297 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # #) 11.327 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # # # #) 11.412 * * * [regime]: Found split indices: #