3.996 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.139 * * * [progress]: [2/2] Setting up program. 0.141 * [progress]: [Phase 2 of 3] Improving. 0.141 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.143 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.144 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.145 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.146 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.146 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.147 * * [progress]: iteration 1 / 4 0.147 * * * [progress]: picking best candidate 0.148 * * * * [pick]: Picked # 0.148 * * * [progress]: localizing error 0.155 * * * [progress]: generating rewritten candidates 0.155 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.158 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.168 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (cos x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (cos x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.179 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.183 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.184 * [taylor]: Taking taylor expansion of -1 in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.184 * [taylor]: Taking taylor expansion of -1 in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.187 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.187 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.187 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (cos x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (sin x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (cos x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (sin x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.208 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.208 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of 1.0 in x 0.208 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [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 0.215 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.215 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [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 -1 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 -1 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.225 * * * [progress]: simplifying candidates 0.226 * [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)) 0.230 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.234 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.247 * * [simplify]: iteration 2 : 2654 enodes (cost 373 ) 0.302 * * [simplify]: iteration 3 : 5001 enodes (cost 373 ) 0.305 * [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)) 0.305 * * * [progress]: adding candidates to table 0.431 * * [progress]: iteration 2 / 4 0.431 * * * [progress]: picking best candidate 0.468 * * * * [pick]: Picked # 0.468 * * * [progress]: localizing error 0.478 * * * [progress]: generating rewritten candidates 0.479 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.481 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.484 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.489 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.503 * * * [progress]: generating series expansions 0.503 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.503 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.503 * [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 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [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 1 1) 0.522 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos 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 0.525 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos 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 0.547 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.548 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.573 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.573 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.573 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.573 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.574 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.596 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.596 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.596 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of (cos x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of (cos x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.606 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.606 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.607 * [taylor]: Taking taylor expansion of 1.0 in x 0.607 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.610 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.610 * [taylor]: Taking taylor expansion of -1 in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.611 * [taylor]: Taking taylor expansion of -1 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.614 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.614 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.614 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (cos x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (sin x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.617 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (cos x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (sin x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.635 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.635 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.636 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.636 * [taylor]: Taking taylor expansion of 1.0 in x 0.636 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.641 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.641 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.642 * [taylor]: Taking taylor expansion of -1 in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.642 * [taylor]: Taking taylor expansion of -1 in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.648 * * * [progress]: simplifying candidates 0.650 * [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)) 0.659 * * [simplify]: iteration 0 : 289 enodes (cost 829 ) 0.663 * * [simplify]: iteration 1 : 791 enodes (cost 761 ) 0.676 * * [simplify]: iteration 2 : 2667 enodes (cost 734 ) 0.729 * * [simplify]: iteration 3 : 5001 enodes (cost 708 ) 0.733 * [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 (- 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))) (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 (/ (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))) (+ (cos x) (- 1.0)) (- (sin x)) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (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))) 1)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* (sin x) 1)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) 1)) (/ 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))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt (sin x)) 1)) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) 1)) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (* (sqrt (sin x)) 1)) 1 (/ (- 1.0 (cos x)) (sin x)) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (* (pow (cbrt (- 1.0 (cos x))) 2) (/ 1 (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))) 1)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt (sin x)) 1)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (* (sin x) 1)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) 1)) (/ 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)) (/ (- 1.0 (cos x)) (* (sqrt (sin x)) 1)) (- 1.0 (cos x)) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (cbrt (exp (log (- 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)) 0.733 * * * [progress]: adding candidates to table 0.935 * * [progress]: iteration 3 / 4 0.935 * * * [progress]: picking best candidate 0.974 * * * * [pick]: Picked # 0.974 * * * [progress]: localizing error 0.981 * * * [progress]: generating rewritten candidates 0.981 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.984 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.996 * * * [progress]: generating series expansions 0.996 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.996 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [taylor]: Taking taylor expansion of (cos x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [taylor]: Taking taylor expansion of (cos x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 1.006 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.010 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.010 * [taylor]: Taking taylor expansion of -1 in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.010 * [taylor]: Taking taylor expansion of -1 in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.014 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.014 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.014 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.014 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.014 * [taylor]: Taking taylor expansion of 1.0 in x 1.014 * [taylor]: Taking taylor expansion of (cos x) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [taylor]: Taking taylor expansion of (sin x) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.017 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of (cos x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (sin x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.034 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.034 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.034 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.034 * [taylor]: Taking taylor expansion of 1.0 in x 1.034 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.035 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.035 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.041 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.041 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.041 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.041 * [taylor]: Taking taylor expansion of 1.0 in x 1.041 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.041 * [taylor]: Taking taylor expansion of -1 in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.042 * [taylor]: Taking taylor expansion of -1 in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.042 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.042 * [taylor]: Taking taylor expansion of -1 in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.043 * [taylor]: Taking taylor expansion of -1 in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.048 * * * [progress]: simplifying candidates 1.049 * [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)) 1.053 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 1.057 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 1.069 * * [simplify]: iteration 2 : 2654 enodes (cost 373 ) 1.124 * * [simplify]: iteration 3 : 5001 enodes (cost 373 ) 1.126 * [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)) 1.126 * * * [progress]: adding candidates to table 1.219 * * [progress]: iteration 4 / 4 1.219 * * * [progress]: picking best candidate 1.257 * * * * [pick]: Picked # 1.257 * * * [progress]: localizing error 1.267 * * * [progress]: generating rewritten candidates 1.267 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.270 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.285 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.296 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.308 * * * [progress]: generating series expansions 1.308 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.309 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.309 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [taylor]: Taking taylor expansion of (cos x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [taylor]: Taking taylor expansion of (cos x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.319 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.319 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.319 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.319 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.323 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.323 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.323 * [taylor]: Taking taylor expansion of -1 in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.323 * [taylor]: Taking taylor expansion of -1 in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.326 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.326 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.327 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.327 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [taylor]: Taking taylor expansion of (cos x) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of (sin x) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.329 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (cos x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (sin x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.347 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.347 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.347 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.348 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.348 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.357 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.357 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.357 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.357 * [taylor]: Taking taylor expansion of -1 in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.358 * [taylor]: Taking taylor expansion of -1 in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.358 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.358 * [taylor]: Taking taylor expansion of -1 in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.359 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.359 * [taylor]: Taking taylor expansion of -1 in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.364 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.364 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 1.364 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.364 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.364 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (cos x) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of (sin x) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.367 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.367 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (cos x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (sin x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.374 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 1.374 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.374 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.374 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.374 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.375 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.375 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.375 * [taylor]: Taking taylor expansion of 1.0 in x 1.375 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.376 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.390 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 1.390 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.390 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.390 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.390 * [taylor]: Taking taylor expansion of 1.0 in x 1.390 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.390 * [taylor]: Taking taylor expansion of -1 in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.390 * [taylor]: Taking taylor expansion of -1 in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.391 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.391 * [taylor]: Taking taylor expansion of -1 in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.391 * [taylor]: Taking taylor expansion of -1 in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.405 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.405 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.405 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (cos x) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (sin x) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.408 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of (cos x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (sin x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.426 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.426 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.426 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.433 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.433 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.433 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.433 * [taylor]: Taking taylor expansion of 1.0 in x 1.433 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.433 * [taylor]: Taking taylor expansion of -1 in x 1.433 * [taylor]: Taking taylor expansion of x in x 1.433 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.433 * [taylor]: Taking taylor expansion of -1 in x 1.433 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.434 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.434 * [taylor]: Taking taylor expansion of -1 in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.434 * [taylor]: Taking taylor expansion of -1 in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.442 * * * [progress]: simplifying candidates 1.444 * [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)) 1.449 * * [simplify]: iteration 0 : 303 enodes (cost 818 ) 1.454 * * [simplify]: iteration 1 : 799 enodes (cost 768 ) 1.467 * * [simplify]: iteration 2 : 2970 enodes (cost 766 ) 1.525 * * [simplify]: iteration 3 : 5001 enodes (cost 766 ) 1.529 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* 2 (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) 0 (/ (- 1.0 (cos x)) (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 1 (- 1.0 (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (pow (exp (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (+ (sqrt 1.0) (sqrt (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E E (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (/ (- 1.0 (cos x)) (sin x)) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (- 1.0 (cos x)) (sin x))) 3) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.529 * * * [progress]: adding candidates to table 1.807 * [progress]: [Phase 3 of 3] Extracting. 1.807 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # #) 1.811 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.811 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # # # # # #) 1.891 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # #) 1.917 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # # # #) 2.000 * * * [regime]: Found split indices: #