6.787 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.142 * * * [progress]: [2/2] Setting up program. 0.144 * [progress]: [Phase 2 of 3] Improving. 0.144 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.146 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.147 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.149 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.150 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.150 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.150 * * [progress]: iteration 1 / 4 0.150 * * * [progress]: picking best candidate 0.152 * * * * [pick]: Picked # 0.152 * * * [progress]: localizing error 0.159 * * * [progress]: generating rewritten candidates 0.159 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.161 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.171 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.171 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.182 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 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 0.182 * [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 0.186 * [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 0.186 * [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 0.210 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 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 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 x in x 0.211 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of 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 x in x 0.217 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [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 -1 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.218 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.218 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.218 * [taylor]: Taking taylor expansion of -1 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.218 * [taylor]: Taking taylor expansion of -1 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.229 * * * [progress]: simplifying candidates 0.230 * [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)) 0.234 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.239 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.250 * * [simplify]: iteration 2 : 2654 enodes (cost 373 ) 0.306 * * [simplify]: iteration 3 : 5001 enodes (cost 373 ) 0.308 * [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)) 0.309 * * * [progress]: adding candidates to table 0.429 * * [progress]: iteration 2 / 4 0.429 * * * [progress]: picking best candidate 0.452 * * * * [pick]: Picked # 0.452 * * * [progress]: localizing error 0.462 * * * [progress]: generating rewritten candidates 0.462 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.465 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.478 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.492 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.504 * * * [progress]: generating series expansions 0.504 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.504 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (cos x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (cos x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.514 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.514 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.518 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.518 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.518 * [taylor]: Taking taylor expansion of -1 in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.522 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.522 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.522 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (cos x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (sin x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.525 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (cos x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (sin x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.543 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.543 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.543 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.543 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.549 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.549 * [taylor]: Taking taylor expansion of -1 in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [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 -1 in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.556 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.556 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.556 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (cos x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (sin x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.559 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.559 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (cos x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (sin x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.571 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 0.571 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.571 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.571 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.572 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.572 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.587 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 0.587 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.587 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.587 * [taylor]: Taking taylor expansion of -1 in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.587 * [taylor]: Taking taylor expansion of -1 in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.588 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.588 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.588 * [taylor]: Taking taylor expansion of -1 in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.588 * [taylor]: Taking taylor expansion of -1 in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.602 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.602 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.602 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.602 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (cos x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (sin x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [taylor]: Taking taylor expansion of (cos x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (sin x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.622 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.622 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.628 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.628 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.629 * [taylor]: Taking taylor expansion of -1 in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.629 * [taylor]: Taking taylor expansion of -1 in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.630 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.630 * [taylor]: Taking taylor expansion of -1 in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.630 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.630 * [taylor]: Taking taylor expansion of -1 in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.635 * * * [progress]: simplifying candidates 0.637 * [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)) 0.642 * * [simplify]: iteration 0 : 303 enodes (cost 818 ) 0.647 * * [simplify]: iteration 1 : 799 enodes (cost 768 ) 0.660 * * [simplify]: iteration 2 : 2970 enodes (cost 766 ) 0.719 * * [simplify]: iteration 3 : 5001 enodes (cost 766 ) 0.728 * [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)) 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(* (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)) 0.729 * * * [progress]: adding candidates to table 0.996 * * [progress]: iteration 3 / 4 0.996 * * * [progress]: picking best candidate 1.026 * * * * [pick]: Picked # 1.026 * * * [progress]: localizing error 1.039 * * * [progress]: generating rewritten candidates 1.039 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1) 1.042 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.062 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.065 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.072 * * * [progress]: generating series expansions 1.072 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1) 1.073 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.073 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of (cos x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of (cos x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.083 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.083 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.084 * [taylor]: Taking taylor expansion of 1.0 in x 1.084 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.087 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.087 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.087 * [taylor]: Taking taylor expansion of 1.0 in x 1.087 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.087 * [taylor]: Taking taylor expansion of 1.0 in x 1.087 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.091 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.091 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.091 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.091 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.091 * [taylor]: Taking taylor expansion of (cos x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (sin x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of (cos x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (sin x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.112 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.112 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.112 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.119 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.119 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.119 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.119 * [taylor]: Taking taylor expansion of -1 in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.119 * [taylor]: Taking taylor expansion of -1 in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.120 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.120 * [taylor]: Taking taylor expansion of -1 in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.120 * [taylor]: Taking taylor expansion of -1 in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.126 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.126 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 1.126 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of (cos x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (cos x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.155 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.155 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.155 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.156 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.177 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.177 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.178 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.178 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.178 * [taylor]: Taking taylor expansion of -1 in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.178 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.178 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.178 * [taylor]: Taking taylor expansion of -1 in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.199 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.199 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.199 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of (cos x) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.200 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of (cos x) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.210 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.210 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.210 * [taylor]: Taking taylor expansion of 1.0 in x 1.210 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.210 * [taylor]: Taking taylor expansion of 1.0 in x 1.210 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.219 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.219 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.220 * [taylor]: Taking taylor expansion of -1 in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.220 * [taylor]: Taking taylor expansion of -1 in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.223 * * * [progress]: simplifying candidates 1.225 * [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 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))))) (- (+ (* 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))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.230 * * [simplify]: iteration 0 : 302 enodes (cost 619 ) 1.234 * * [simplify]: iteration 1 : 710 enodes (cost 559 ) 1.244 * * [simplify]: iteration 2 : 2016 enodes (cost 547 ) 1.284 * * [simplify]: iteration 3 : 5001 enodes (cost 531 ) 1.287 * [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)))) 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 1.0) (sqrt (cos x))) (- (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)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 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))) (- (+ (* 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))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.287 * * * [progress]: adding candidates to table 1.537 * * [progress]: iteration 4 / 4 1.537 * * * [progress]: picking best candidate 1.569 * * * * [pick]: Picked # 1.569 * * * [progress]: localizing error 1.577 * * * [progress]: generating rewritten candidates 1.577 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.597 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.600 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.608 * * * [progress]: generating series expansions 1.608 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.608 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in (x) around 0 1.608 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 1.608 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.608 * [taylor]: Taking taylor expansion of (sin x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.609 * [taylor]: Taking taylor expansion of (cos x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (sin x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 1.610 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 1.610 * [taylor]: Taking taylor expansion of (sin x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.611 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.611 * [taylor]: Taking taylor expansion of (cos x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [taylor]: Taking taylor expansion of (sin x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.658 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in (x) around 0 1.658 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 1.658 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.658 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.658 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 1.659 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 1.659 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.659 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.660 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.672 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in (x) around 0 1.672 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 1.672 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 1.672 * [taylor]: Taking taylor expansion of 1.0 in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.672 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.672 * [taylor]: Taking taylor expansion of -1 in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 1.672 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.672 * [taylor]: Taking taylor expansion of -1 in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.673 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.673 * [taylor]: Taking taylor expansion of -1 in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 1.673 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 1.673 * [taylor]: Taking taylor expansion of 1.0 in x 1.673 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.673 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.673 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.673 * [taylor]: Taking taylor expansion of -1 in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 1.674 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.674 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.674 * [taylor]: Taking taylor expansion of -1 in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.674 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.674 * [taylor]: Taking taylor expansion of -1 in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.693 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.693 * [approximate]: Taking taylor expansion of (/ (cos x) (sin x)) in (x) around 0 1.693 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.693 * [taylor]: Taking taylor expansion of (cos x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (sin x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.694 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 1.694 * [taylor]: Taking taylor expansion of (cos x) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [taylor]: Taking taylor expansion of (sin x) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.704 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in (x) around 0 1.704 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 1.704 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (sin (/ 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 (/ (cos (/ 1 x)) (sin (/ 1 x))) 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 1.706 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.706 * [taylor]: Taking taylor expansion of x in x 1.708 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in (x) around 0 1.708 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) 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 1.708 * [taylor]: Taking taylor expansion of (sin (/ -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 (/ (cos (/ -1 x)) (sin (/ -1 x))) 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 1.709 * [taylor]: Taking taylor expansion of (sin (/ -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 1.711 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.711 * [approximate]: Taking taylor expansion of (/ 1.0 (sin x)) in (x) around 0 1.712 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 1.712 * [taylor]: Taking taylor expansion of 1.0 in x 1.712 * [taylor]: Taking taylor expansion of (sin x) in x 1.712 * [taylor]: Taking taylor expansion of x in x 1.712 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 1.712 * [taylor]: Taking taylor expansion of 1.0 in x 1.712 * [taylor]: Taking taylor expansion of (sin x) in x 1.712 * [taylor]: Taking taylor expansion of x in x 1.724 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in (x) around 0 1.724 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 1.724 * [taylor]: Taking taylor expansion of 1.0 in x 1.724 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.725 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 1.725 * [taylor]: Taking taylor expansion of 1.0 in x 1.725 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.727 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in (x) around 0 1.727 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 1.727 * [taylor]: Taking taylor expansion of 1.0 in x 1.727 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.727 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.727 * [taylor]: Taking taylor expansion of -1 in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.727 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 1.727 * [taylor]: Taking taylor expansion of 1.0 in x 1.727 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.727 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.727 * [taylor]: Taking taylor expansion of -1 in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.729 * * * [progress]: simplifying candidates 1.730 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x)))) (log (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (exp (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (* (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x))))) (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (* (* (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (- 1.0 (cos x)) (- (* 1.0 (sin x)) (* (sin x) (cos x))) (* (sin x) (sin x)) (- (pow (/ 1.0 (sin x)) 3) (pow (/ (cos x) (sin x)) 3)) (+ (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (+ (* (/ (cos x) (sin x)) (/ (cos x) (sin x))) (* (/ 1.0 (sin x)) (/ (cos x) (sin x))))) (- (/ (cos x) (sin x))) (- (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))) (+ (/ 1.0 (sin x)) (/ (cos x) (sin x))) (+ (sqrt (/ 1.0 (sin x))) (sqrt (/ (cos x) (sin x)))) (- (sqrt (/ 1.0 (sin x))) (sqrt (/ (cos x) (sin x)))) (+ (sqrt (/ 1.0 (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (sqrt (/ 1.0 (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (+ (/ (sqrt 1.0) (sqrt (sin x))) (sqrt (/ (cos x) (sin x)))) (- (/ (sqrt 1.0) (sqrt (sin x))) (sqrt (/ (cos x) (sin x)))) (+ (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (/ 1.0 (cbrt (sin x))) (/ (cos x) (cbrt (sin x)))) (- (/ 1.0 (sqrt (sin x))) (/ (cos x) (sqrt (sin x)))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- 1.0 (cos x)) (- (/ (cos x) (sin x))) (- (log (cos x)) (log (sin x))) (log (/ (cos x) (sin x))) (exp (/ (cos x) (sin x))) (/ (* (* (cos x) (cos x)) (cos x)) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x)))) (cbrt (/ (cos x) (sin x))) (* (* (/ (cos x) (sin x)) (/ (cos x) (sin x))) (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x))) (- (cos x)) (- (sin x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (cos x)) (cbrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt (sin x))) (/ (cbrt (cos x)) (sqrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (/ (cbrt (cos x)) (sin x)) (/ (sqrt (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (cos x)) (cbrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) 1) (/ (sqrt (cos x)) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (cos x) (sqrt (sin x))) (/ 1 1) (/ (cos x) (sin x)) (/ 1 (sin x)) (/ (sin x) (cos x)) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (sqrt (sin x))) (/ (cos x) 1) (/ (sin x) (cbrt (cos x))) (/ (sin x) (sqrt (cos x))) (/ (sin x) (cos x)) (- (log 1.0) (log (sin x))) (log (/ 1.0 (sin x))) (exp (/ 1.0 (sin x))) (/ (* (* 1.0 1.0) 1.0) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (* (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (- 1.0) (- (sin x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1.0) (cbrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sin x))) (/ (cbrt 1.0) (sqrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sin x)) (/ (sqrt 1.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1.0) (cbrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1.0 (sqrt (sin x))) (/ 1 1) (/ 1.0 (sin x)) (/ 1 (sin x)) (/ (sin x) 1.0) (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (sqrt (sin x))) (/ 1.0 1) (/ (sin x) (cbrt 1.0)) (/ (sin x) (sqrt 1.0)) (/ (sin x) 1.0) (+ (* 0.04166666666666667 (pow x 3)) (+ (* 0.004166666666666667 (pow x 5)) (* 0.5 x))) (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) (/ (cos x) (sin x)) (/ (cos x) (sin x)) (+ (* 0.019444444444444445 (pow x 3)) (+ (* 1.0 (/ 1 x)) (* 0.16666666666666666 x))) (/ 1.0 (sin x)) (/ 1.0 (sin x)) 1.735 * * [simplify]: iteration 0 : 287 enodes (cost 581 ) 1.739 * * [simplify]: iteration 1 : 772 enodes (cost 552 ) 1.750 * * [simplify]: iteration 2 : 2229 enodes (cost 552 ) 1.783 * * [simplify]: iteration 3 : 5002 enodes (cost 551 ) 1.786 * [simplify]: Simplified to: (exp (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (log (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (exp (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (* (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x))))) (cbrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (pow (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) 3) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (sqrt (- (/ 1.0 (sin x)) (/ (cos x) (sin x)))) (- 1.0 (cos x)) (* (sin x) (- 1.0 (cos x))) (* (sin x) (sin x)) (- (pow (/ 1.0 (sin x)) 3) (pow (/ (cos x) (sin x)) 3)) (+ (* (/ 1.0 (* (sin x) (sin x))) (+ (cos x) 1.0)) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))) (- (/ (cos x) (sin x))) (- (* (/ 1.0 (sin x)) (/ 1.0 (sin x))) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))) (+ (/ 1.0 (sin x)) (/ (cos x) (sin x))) (+ (sqrt (/ 1.0 (sin x))) (sqrt (/ (cos x) (sin x)))) (- (sqrt (/ 1.0 (sin x))) (sqrt (/ (cos x) (sin x)))) (+ (sqrt (/ 1.0 (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (sqrt (/ 1.0 (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (+ (/ (sqrt 1.0) (sqrt (sin x))) (sqrt (/ (cos x) (sin x)))) (- (/ (sqrt 1.0) (sqrt (sin x))) (sqrt (/ (cos x) (sin x)))) (+ (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x)))) (- (/ 1.0 (cbrt (sin x))) (/ (cos x) (cbrt (sin x)))) (- (/ 1.0 (sqrt (sin x))) (/ (cos x) (sqrt (sin x)))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- 1.0 (cos x)) (- (/ (cos x) (sin x))) (log (/ (cos x) (sin x))) (log (/ (cos x) (sin x))) (exp (/ (cos x) (sin x))) (pow (/ (cos x) (sin x)) 3) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x)))) (cbrt (/ (cos x) (sin x))) (pow (/ (cos x) (sin x)) 3) (sqrt (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x))) (- (cos x)) (- (sin x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (cos x)) (cbrt (sin x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt (sin x))) (/ (cbrt (cos x)) (sqrt (sin x))) (* (cbrt (cos x)) (cbrt (cos x))) (/ (cbrt (cos x)) (sin x)) (/ (sqrt (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (cos x)) (cbrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (/ (sqrt (cos x)) (sqrt (sin x))) (sqrt (cos x)) (/ (sqrt (cos x)) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (cos x) (sqrt (sin x))) 1 (/ (cos x) (sin x)) (/ 1 (sin x)) (/ (sin x) (cos x)) (/ (cos x) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cos x) (sqrt (sin x))) (cos x) (/ (sin x) (cbrt (cos x))) (/ (sin x) (sqrt (cos x))) (/ (sin x) (cos x)) (log (/ 1.0 (sin x))) (log (/ 1.0 (sin x))) (exp (/ 1.0 (sin x))) (pow (/ 1.0 (sin x)) 3) (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (pow (/ 1.0 (sin x)) 3) (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (- 1.0) (- (sin x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1.0) (cbrt (sin x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sin x))) (/ (cbrt 1.0) (sqrt (sin x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sin x)) (/ (sqrt 1.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1.0) (cbrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (sqrt 1.0) (/ (sqrt 1.0) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1.0 (sqrt (sin x))) 1 (/ 1.0 (sin x)) (/ 1 (sin x)) (/ (sin x) 1.0) (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (sqrt (sin x))) 1.0 (/ (sin x) (cbrt 1.0)) (/ (sin x) (sqrt 1.0)) (/ (sin x) 1.0) (+ (* 0.04166666666666667 (pow x 3)) (+ (* 0.004166666666666667 (pow x 5)) (* 0.5 x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))) (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) (/ (cos x) (sin x)) (/ (cos x) (sin x)) (+ (* 0.019444444444444445 (pow x 3)) (+ (* 1.0 (/ 1 x)) (* 0.16666666666666666 x))) (/ 1.0 (sin x)) (/ 1.0 (sin x)) 1.786 * * * [progress]: adding candidates to table 1.961 * [progress]: [Phase 3 of 3] Extracting. 1.961 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 1.964 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.964 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # #) 2.028 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# #) 2.046 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 2.110 * * * [regime]: Found split indices: #