5.737 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.136 * * * [progress]: [2/2] Setting up program. 0.139 * [progress]: [Phase 2 of 3] Improving. 0.139 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.141 * * [simplify]: iteration 0 : 16 enodes (cost 7 ) 0.141 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.142 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.142 * * [progress]: iteration 1 / 4 0.142 * * * [progress]: picking best candidate 0.144 * * * * [pick]: Picked # 0.144 * * * [progress]: localizing error 0.151 * * * [progress]: generating rewritten candidates 0.151 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.155 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.162 * * * [progress]: generating series expansions 0.162 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.162 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (cos x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (cos x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.164 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.165 * [taylor]: Taking taylor expansion of -1 in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.165 * [taylor]: Taking taylor expansion of -1 in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.165 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (cos x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (sin x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (cos x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (sin x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.168 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.171 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.173 * * * [progress]: simplifying candidates 0.174 * [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)))) (neg (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)) (neg (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))) (neg (- 1.0 (cos x))) (neg (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)) 0.216 * * [simplify]: iteration 0 : 5700 enodes (cost 608 ) 0.219 * [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)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (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)) (neg (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (cos x) 1.0) (neg (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))) (* (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (sin x)) (* (+ 1.0 (cos x)) (sin x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* x 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.220 * * * [progress]: adding candidates to table 0.303 * * [progress]: iteration 2 / 4 0.303 * * * [progress]: picking best candidate 0.343 * * * * [pick]: Picked # 0.344 * * * [progress]: localizing error 0.354 * * * [progress]: generating rewritten candidates 0.354 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.358 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.361 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.365 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.375 * * * [progress]: generating series expansions 0.376 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.376 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (cos x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (cos x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.378 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.378 * [taylor]: Taking taylor expansion of -1 in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.379 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (cos x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (cos x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.382 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.382 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.382 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.382 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.386 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.386 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.387 * [taylor]: Taking taylor expansion of -1 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.391 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.391 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (cos x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (cos x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.393 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.394 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.394 * [taylor]: Taking taylor expansion of -1 in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.394 * [taylor]: Taking taylor expansion of -1 in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.394 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (cos x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (sin x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (cos x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (sin x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.397 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.397 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.399 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.402 * * * [progress]: simplifying candidates 0.403 * [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)))) (neg (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)) (neg (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))) (neg (exp (log (- 1.0 (cos x))))) (neg (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)) 0.437 * * [simplify]: iteration 0 : 5049 enodes (cost 1090 ) 0.441 * [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)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (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)) (neg (cos x)) (* (log (cbrt (- 1.0 (cos x)))) 2) (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) (+ 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 (pow (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)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (- (* 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 (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (cos x) 1.0) (neg (sin x)) (/ (pow (cbrt (- 1.0 (cos x))) 2) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (pow (cbrt (- 1.0 (cos x))) 2) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 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)) (/ (pow (cbrt (- 1.0 (cos x))) 2) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (pow (cbrt (- 1.0 (cos x))) 2) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (pow (cbrt (- 1.0 (cos x))) 2) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (sin x)) (* (+ 1.0 (cos x)) (sin x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 2 (log x)) (+ (log 1/2) (+ (* x (* x -1/12)) (* (pow x 4) -1/1440)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* x 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.442 * * * [progress]: adding candidates to table 0.547 * * [progress]: iteration 3 / 4 0.547 * * * [progress]: picking best candidate 0.592 * * * * [pick]: Picked # 0.592 * * * [progress]: localizing error 0.602 * * * [progress]: generating rewritten candidates 0.602 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.606 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.613 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.618 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.628 * * * [progress]: generating series expansions 0.628 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.628 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [taylor]: Taking taylor expansion of (cos x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [taylor]: Taking taylor expansion of (cos x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.630 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.630 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [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 x in x 0.630 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [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 x in x 0.631 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.631 * [taylor]: Taking taylor expansion of -1 in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.631 * [taylor]: Taking taylor expansion of -1 in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.631 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.631 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (cos x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (sin x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.632 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.632 * [taylor]: Taking taylor expansion of (cos x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (sin x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.634 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.634 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.634 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.634 * [taylor]: Taking taylor expansion of x in x 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 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 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 0.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.637 * [taylor]: Taking taylor expansion of -1 in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.637 * [taylor]: Taking taylor expansion of -1 in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.637 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.637 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.637 * [taylor]: Taking taylor expansion of -1 in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.637 * [taylor]: Taking taylor expansion of -1 in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.639 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.639 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 0.639 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.639 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.639 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (cos x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (sin x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.639 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.639 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (cos x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (sin x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.640 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 0.640 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.640 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.640 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.640 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 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 0.641 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.645 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 0.645 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.645 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.645 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.645 * [taylor]: Taking taylor expansion of -1 in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.645 * [taylor]: Taking taylor expansion of -1 in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.645 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.645 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.645 * [taylor]: Taking taylor expansion of -1 in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.645 * [taylor]: Taking taylor expansion of -1 in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.649 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.649 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.649 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.650 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [taylor]: Taking taylor expansion of (cos x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (sin x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.650 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [taylor]: Taking taylor expansion of (cos x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (sin x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.652 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.652 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.652 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.654 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.654 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.654 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.655 * [taylor]: Taking taylor expansion of -1 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.655 * [taylor]: Taking taylor expansion of -1 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.655 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.655 * [taylor]: Taking taylor expansion of -1 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.655 * [taylor]: Taking taylor expansion of -1 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.657 * * * [progress]: simplifying candidates 0.660 * [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)))) (neg (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)) (neg (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))) (neg (- 1.0 (cos x))) (neg (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)) 0.720 * * [simplify]: iteration 0 : 5231 enodes (cost 1218 ) 0.725 * [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)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (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)) (neg (cos x)) (* (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) 2) (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) (/ (- 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))) (pow (exp (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x)))) (pow (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))) (- (cos x) 1.0) (neg (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))) (* (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (sin x)) (* (+ 1.0 (cos x)) (sin x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* x 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ 1 (* x (+ 1/2 (* x 1/8)))) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* x 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.726 * * * [progress]: adding candidates to table 0.876 * * [progress]: iteration 4 / 4 0.877 * * * [progress]: picking best candidate 0.922 * * * * [pick]: Picked # 0.922 * * * [progress]: localizing error 0.931 * * * [progress]: generating rewritten candidates 0.931 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.934 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.944 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.950 * * * [progress]: generating series expansions 0.950 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.950 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (cos x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (cos x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.952 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.952 * [taylor]: Taking taylor expansion of -1 in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.952 * [taylor]: Taking taylor expansion of -1 in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.953 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.953 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.953 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.953 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [taylor]: Taking taylor expansion of (cos x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (sin x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.953 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [taylor]: Taking taylor expansion of (cos x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (sin x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.956 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.956 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.956 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.956 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.958 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.958 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.958 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.958 * [taylor]: Taking taylor expansion of -1 in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.958 * [taylor]: Taking taylor expansion of -1 in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.958 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.958 * [taylor]: Taking taylor expansion of -1 in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.958 * [taylor]: Taking taylor expansion of -1 in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.960 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.960 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 0.960 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.960 * [taylor]: Taking taylor expansion of (sin x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.960 * [taylor]: Taking taylor expansion of (sin x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.961 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 0.961 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.962 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.962 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.963 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 0.963 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.963 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 0.963 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.964 * * * [progress]: simplifying candidates 0.965 * [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)))) (neg (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)) (neg (cos x)) (* (- 1.0 (cos x)) (/ 1 (sin x))) (+ (log (- 1.0 (cos x))) (neg (log (sin x)))) (+ (log (- 1.0 (cos x))) (- 0 (log (sin x)))) (+ (log (- 1.0 (cos x))) (- (log 1) (log (sin x)))) (+ (log (- 1.0 (cos x))) (log (/ 1 (sin x)))) (log (* (- 1.0 (cos x)) (/ 1 (sin x)))) (exp (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x)))) (* (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x)))) (* (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x))))) (cbrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (* (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (- 1.0 (cos x)) (/ 1 (sin x)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (sqrt (* (- 1.0 (cos x)) (/ 1 (sin x)))) (* (- (pow 1.0 3) (pow (cos x) 3)) 1) (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sin x)) (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1) (* (+ 1.0 (cos x)) (sin x)) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sqrt (sin x)))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sqrt (sin x)))) (* (- 1.0 (cos x)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (- 1.0 (cos x)) (sqrt (/ 1 (sin x)))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- 1.0 (cos x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ (sqrt 1) (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ (sqrt 1) 1)) (* (- 1.0 (cos x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (* (- 1.0 (cos x)) (/ 1 (sqrt (sin x)))) (* (- 1.0 (cos x)) (/ 1 1)) (* (- 1.0 (cos x)) 1) (* (- 1.0 (cos x)) 1) (* (cbrt (- 1.0 (cos x))) (/ 1 (sin x))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- (sqrt 1.0) (sqrt (cos x))) (/ 1 (sin x))) (* (- 1.0 (cos x)) (/ 1 (sin x))) (* (- 1.0 (cos x)) 1) (* (- (pow 1.0 3) (pow (cos x) 3)) (/ 1 (sin x))) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (/ 1 (sin x))) (neg 1) (neg (log (sin x))) (- 0 (log (sin x))) (- (log 1) (log (sin x))) (log (/ 1 (sin x))) (exp (/ 1 (sin x))) (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (neg 1) (neg (sin x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1) (cbrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x))) (/ (cbrt 1) (sqrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sin x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1) (cbrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) 1) (/ (sqrt 1) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ 1 (sin x)) (/ 1 (sin x)) (/ (sin x) 1) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ (sin x) (cbrt 1)) (/ (sin x) (sqrt 1)) (/ (sin x) 1) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) 0.988 * * [simplify]: iteration 0 : 5227 enodes (cost 781 ) 0.992 * [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)) (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (neg (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)) (neg (cos x)) (/ (- 1.0 (cos x)) (sin x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 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) (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))) (- (pow 1.0 3) (pow (cos x) 3)) (* (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x)))) (sin x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (* (+ 1.0 (cos x)) (sin x)) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (* (- 1.0 (cos x)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x))))) (* (- 1.0 (cos x)) (sqrt (/ 1 (sin x)))) (* (- 1.0 (cos x)) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (sin x)) (cbrt (sin x)))))) (* (- 1.0 (cos x)) (* (cbrt 1) (/ (cbrt 1) (sqrt (sin x))))) (* (- 1.0 (cos x)) (* (cbrt 1) (cbrt 1))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (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)) (- 1.0 (cos x)) (- 1.0 (cos 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 (cos x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (* (- 1.0 (cos x)) (/ (+ 1.0 (cos x)) (sin x))) -1 (neg (log (sin x))) (neg (log (sin x))) (neg (log (sin x))) (neg (log (sin x))) (exp (/ 1 (sin x))) (/ 1 (pow (sin x) 3)) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (/ 1 (pow (sin x) 3)) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) -1 (neg (sin x)) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (sin x)) (cbrt (sin x))))) (/ (cbrt 1) (cbrt (sin x))) (* (cbrt 1) (/ (cbrt 1) (sqrt (sin x)))) (/ (cbrt 1) (sqrt (sin x))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ 1 (sin x)) (sin x) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (sin x) (cbrt 1)) (sin x) (sin x) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* x 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* (pow x 3) 7/360) (+ (/ 1 x) (* x 1/6))) (/ 1 (sin x)) (/ 1 (sin x)) 0.993 * * * [progress]: adding candidates to table 1.072 * [progress]: [Phase 3 of 3] Extracting. 1.072 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 1.074 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.074 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # #) 1.167 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # #) 1.208 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # #) 1.296 * * * [regime]: Found split indices: #