4.579 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.157 * * * [progress]: [2/2] Setting up program. 0.160 * [progress]: [Phase 2 of 3] Improving. 0.160 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.162 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.163 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.164 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.165 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.165 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.166 * * [progress]: iteration 1 / 4 0.166 * * * [progress]: picking best candidate 0.168 * * * * [pick]: Picked # 0.168 * * * [progress]: localizing error 0.175 * * * [progress]: generating rewritten candidates 0.175 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.179 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.186 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.188 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.189 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (cos x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (sin x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.190 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of (cos x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (sin x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.193 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.195 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.197 * * * [progress]: simplifying candidates 0.198 * [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)) 0.202 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.206 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.219 * * [simplify]: iteration 2 : 2640 enodes (cost 373 ) 0.274 * * [simplify]: iteration 3 : 5002 enodes (cost 373 ) 0.277 * [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)) (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))) (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)))) (/ (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)) 0.277 * * * [progress]: adding candidates to table 0.362 * * [progress]: iteration 2 / 4 0.362 * * * [progress]: picking best candidate 0.388 * * * * [pick]: Picked # 0.389 * * * [progress]: localizing error 0.399 * * * [progress]: generating rewritten candidates 0.399 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.404 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.409 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.418 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.424 * * * [progress]: generating series expansions 0.424 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.425 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 3)) in (x) around 0 0.425 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.425 * [taylor]: Taking taylor expansion of 1/24 in x 0.425 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.425 * [taylor]: Taking taylor expansion of 1/24 in x 0.425 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.426 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 3)) in (x) around 0 0.426 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.426 * [taylor]: Taking taylor expansion of 1/24 in x 0.426 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 3)) in x 0.426 * [taylor]: Taking taylor expansion of 1/24 in x 0.426 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.427 * [approximate]: Taking taylor expansion of (/ -1/24 (pow x 3)) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.427 * [taylor]: Taking taylor expansion of -1/24 in x 0.427 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (/ -1/24 (pow x 3)) in x 0.427 * [taylor]: Taking taylor expansion of -1/24 in x 0.427 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.428 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.429 * [approximate]: Taking taylor expansion of (* 1/240 (pow x 5)) in (x) around 0 0.429 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.429 * [taylor]: Taking taylor expansion of 1/240 in x 0.429 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.429 * [taylor]: Taking taylor expansion of 1/240 in x 0.429 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.430 * [approximate]: Taking taylor expansion of (/ 1/240 (pow x 5)) in (x) around 0 0.430 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.430 * [taylor]: Taking taylor expansion of 1/240 in x 0.430 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (/ 1/240 (pow x 5)) in x 0.430 * [taylor]: Taking taylor expansion of 1/240 in x 0.430 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [approximate]: Taking taylor expansion of (/ -1/240 (pow x 5)) in (x) around 0 0.431 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.431 * [taylor]: Taking taylor expansion of -1/240 in x 0.431 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (/ -1/240 (pow x 5)) in x 0.431 * [taylor]: Taking taylor expansion of -1/240 in x 0.431 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.433 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.433 * [approximate]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in (x) around 0 0.433 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.433 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.433 * [taylor]: Taking taylor expansion of 1/24 in x 0.433 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.433 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.433 * [taylor]: Taking taylor expansion of 1/240 in x 0.433 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.433 * [taylor]: Taking taylor expansion of 1/2 in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) in x 0.433 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x 0.433 * [taylor]: Taking taylor expansion of 1/24 in x 0.433 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (+ (* 1/240 (pow x 5)) (* 1/2 x)) in x 0.433 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.433 * [taylor]: Taking taylor expansion of 1/240 in x 0.433 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.433 * [taylor]: Taking taylor expansion of 1/2 in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.434 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of 1/2 in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.435 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.435 * [taylor]: Taking taylor expansion of 1/240 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.435 * [taylor]: Taking taylor expansion of 1/24 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of 1/2 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.435 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.435 * [taylor]: Taking taylor expansion of 1/240 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.435 * [taylor]: Taking taylor expansion of 1/24 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.437 * [approximate]: Taking taylor expansion of (neg (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in x 0.437 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.437 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of 1/2 in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.437 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.437 * [taylor]: Taking taylor expansion of 1/240 in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.437 * [taylor]: Taking taylor expansion of 1/24 in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))))) in x 0.437 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 x)) (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3))))) in x 0.437 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of 1/2 in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/24 (/ 1 (pow x 3)))) in x 0.437 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.437 * [taylor]: Taking taylor expansion of 1/240 in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 3))) in x 0.437 * [taylor]: Taking taylor expansion of 1/24 in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.439 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.439 * [approximate]: Taking taylor expansion of (+ (* 1/2 x) (* 1/240 (pow x 5))) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (+ (* 1/2 x) (* 1/240 (pow x 5))) in x 0.439 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.439 * [taylor]: Taking taylor expansion of 1/2 in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.439 * [taylor]: Taking taylor expansion of 1/240 in x 0.439 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (+ (* 1/2 x) (* 1/240 (pow x 5))) in x 0.439 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.439 * [taylor]: Taking taylor expansion of 1/2 in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.439 * [taylor]: Taking taylor expansion of 1/240 in x 0.439 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.441 * [approximate]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) in x 0.441 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.441 * [taylor]: Taking taylor expansion of 1/240 in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.441 * [taylor]: Taking taylor expansion of 1/2 in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) in x 0.441 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.441 * [taylor]: Taking taylor expansion of 1/240 in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of 1/2 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.446 * [approximate]: Taking taylor expansion of (neg (+ (* 1/240 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (neg (+ (* 1/240 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) in x 0.446 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) in x 0.446 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.446 * [taylor]: Taking taylor expansion of 1/240 in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of 1/2 in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (neg (+ (* 1/240 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) in x 0.446 * [taylor]: Taking taylor expansion of (+ (* 1/240 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) in x 0.446 * [taylor]: Taking taylor expansion of (* 1/240 (/ 1 (pow x 5))) in x 0.446 * [taylor]: Taking taylor expansion of 1/240 in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of 1/2 in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.450 * * * [progress]: simplifying candidates 0.451 * [simplify]: Simplifying using # : (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (* (log x) 3)) (+ (log 1/24) (log (pow x 3))) (log (* 1/24 (pow x 3))) (exp (* 1/24 (pow x 3))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (* (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x (/ 3 2))) (* (sqrt 1/24) (pow x (/ 3 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 (* x x)) (* 1/24 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/24 (pow (sqrt x) 3)) (* 1/24 (pow 1 3)) (* 1/24 x) (* 1/24 (sqrt (pow x 3))) (* 1/24 1) (* 1/24 (pow x (/ 3 2))) (* (cbrt 1/24) (pow x 3)) (* (sqrt 1/24) (pow x 3)) (* 1/24 (pow x 3)) (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (* (log x) 5)) (+ (log 1/240) (log (pow x 5))) (log (* 1/240 (pow x 5))) (exp (* 1/240 (pow x 5))) (* (* (* 1/240 1/240) 1/240) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (* (* (* 1/240 (pow x 5)) (* 1/240 (pow x 5))) (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x (/ 5 2))) (* (sqrt 1/240) (pow x (/ 5 2))) (* 1/240 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/240 (pow (sqrt x) 5)) (* 1/240 (pow 1 5)) (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) (* 1/240 1) (* 1/240 (pow x (/ 5 2))) (* (cbrt 1/240) (pow x 5)) (* (sqrt 1/240) (pow x 5)) (* 1/240 (pow x 5)) (* (exp (* 1/24 (pow x 3))) (* (exp (* 1/240 (pow x 5))) (exp (* 1/2 x)))) (* (exp (* 1/24 (pow x 3))) (exp (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (log (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (* (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (pow (* 1/24 (pow x 3)) 3) (pow (+ (* 1/240 (pow x 5)) (* 1/2 x)) 3)) (+ (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (- (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (* (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (- (* (* 1/24 (pow x 3)) (* 1/24 (pow x 3))) (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (- (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (* (exp (* 1/240 (pow x 5))) (exp (* 1/2 x))) (log (+ (* 1/240 (pow x 5)) (* 1/2 x))) (exp (+ (* 1/240 (pow x 5)) (* 1/2 x))) (* (cbrt (+ (* 1/240 (pow x 5)) (* 1/2 x))) (cbrt (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (cbrt (+ (* 1/240 (pow x 5)) (* 1/2 x))) (* (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (sqrt (+ (* 1/240 (pow x 5)) (* 1/2 x))) (sqrt (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (pow (* 1/240 (pow x 5)) 3) (pow (* 1/2 x) 3)) (+ (* (* 1/240 (pow x 5)) (* 1/240 (pow x 5))) (- (* (* 1/2 x) (* 1/2 x)) (* (* 1/240 (pow x 5)) (* 1/2 x)))) (- (* (* 1/240 (pow x 5)) (* 1/240 (pow x 5))) (* (* 1/2 x) (* 1/2 x))) (- (* 1/240 (pow x 5)) (* 1/2 x)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (+ (* 1/2 x) (* 1/240 (pow x 5))) (+ (* 1/2 x) (* 1/240 (pow x 5))) (+ (* 1/2 x) (* 1/240 (pow x 5))) 0.456 * * [simplify]: iteration 0 : 355 enodes (cost 458 ) 0.464 * * [simplify]: iteration 1 : 1538 enodes (cost 429 ) 0.498 * * [simplify]: iteration 2 : 5002 enodes (cost 428 ) 0.502 * [simplify]: Simplified to: (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (log (* 1/24 (pow x 3))) (exp (* 1/24 (pow x 3))) (pow (* 1/24 (pow x 3)) 3) (* (cbrt (* 1/24 (pow x 3))) (cbrt (* 1/24 (pow x 3)))) (cbrt (* 1/24 (pow x 3))) (pow (* 1/24 (pow x 3)) 3) (sqrt (* 1/24 (pow x 3))) (sqrt (* 1/24 (pow x 3))) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (pow (sqrt x) 3)) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (sqrt (pow x 3))) (* (sqrt 1/24) (pow x 3/2)) (* (sqrt 1/24) (pow x 3/2)) (* (* 1/24 x) x) (* 1/24 (pow (sqrt x) 3)) 1/24 (* (* 1/24 x) x) (* (* 1/24 x) x) (* (* 1/24 x) x) (* 1/24 (pow (sqrt x) 3)) 1/24 (* 1/24 x) (* 1/24 (sqrt (pow x 3))) 1/24 (* 1/24 (pow x 3/2)) (* (cbrt 1/24) (pow x 3)) (* (sqrt 1/24) (pow x 3)) (* 1/24 (pow x 3)) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (log (* 1/240 (pow x 5))) (exp (* 1/240 (pow x 5))) (pow (* 1/240 (pow x 5)) 3) (* (cbrt (* 1/240 (pow x 5))) (cbrt (* 1/240 (pow x 5)))) (cbrt (* 1/240 (pow x 5))) (pow (* 1/240 (pow x 5)) 3) (sqrt (* 1/240 (pow x 5))) (sqrt (* 1/240 (pow x 5))) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (pow (sqrt x) 5)) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (sqrt (pow x 5))) (* (sqrt 1/240) (pow x 5/2)) (* (sqrt 1/240) (pow x 5/2)) (* 1/240 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/240 (pow (sqrt x) 5)) 1/240 (* 1/240 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/240 (sqrt (pow x 5))) 1/240 (* 1/240 (pow x 5/2)) (* (cbrt 1/240) (pow x 5)) (* (sqrt 1/240) (pow x 5)) (* 1/240 (pow x 5)) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (log (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (exp (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))))) (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (pow (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 3) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (sqrt (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (+ (pow (* 1/24 (pow x 3)) 3) (pow (+ (* 1/240 (pow x 5)) (* 1/2 x)) 3)) (+ (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (- (+ (* 1/240 (pow x 5)) (* 1/2 x)) (* 1/24 (pow x 3)))) (* 1/576 (* (pow x 3) (pow x 3)))) (+ (neg (* (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (* (pow x 6) 1/576)) (- (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))) (exp (+ (* 1/240 (pow x 5)) (* 1/2 x))) (log (+ (* 1/240 (pow x 5)) (* 1/2 x))) (exp (+ (* 1/240 (pow x 5)) (* 1/2 x))) (* (cbrt (+ (* 1/240 (pow x 5)) (* 1/2 x))) (cbrt (+ (* 1/240 (pow x 5)) (* 1/2 x)))) (cbrt (+ (* 1/240 (pow x 5)) (* 1/2 x))) (pow (+ (* 1/240 (pow x 5)) (* 1/2 x)) 3) (sqrt (+ (* 1/240 (pow x 5)) (* 1/2 x))) (sqrt (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (pow (* 1/240 (pow x 5)) 3) (pow (* 1/2 x) 3)) (+ (* 1/4 (* x x)) (- (* (pow x 10) 1/57600) (* x (* (pow x 5) 1/480)))) (+ (* -1/4 (* x x)) (* (pow x 10) 1/57600)) (- (* 1/240 (pow x 5)) (* 1/2 x)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/24 (pow x 3)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)) (+ (* 1/240 (pow x 5)) (* 1/2 x)) 0.502 * * * [progress]: adding candidates to table 0.626 * * [progress]: iteration 3 / 4 0.626 * * * [progress]: picking best candidate 0.652 * * * * [pick]: Picked # 0.652 * * * [progress]: localizing error 0.662 * * * [progress]: generating rewritten candidates 0.662 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.666 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.673 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.679 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.689 * * * [progress]: generating series expansions 0.689 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.689 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.689 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.689 * [taylor]: Taking taylor expansion of 1.0 in x 0.689 * [taylor]: Taking taylor expansion of (cos x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.689 * [taylor]: Taking taylor expansion of 1.0 in x 0.689 * [taylor]: Taking taylor expansion of (cos x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.691 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.691 * [taylor]: Taking taylor expansion of -1 in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.692 * [taylor]: Taking taylor expansion of -1 in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.692 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (cos x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (sin x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (cos x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (sin x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.695 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.695 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.697 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.697 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.697 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.697 * [taylor]: Taking taylor expansion of -1 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.697 * [taylor]: Taking taylor expansion of -1 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.698 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.698 * [taylor]: Taking taylor expansion of -1 in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.698 * [taylor]: Taking taylor expansion of -1 in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.700 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.700 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 0.700 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.700 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.700 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [taylor]: Taking taylor expansion of (cos x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (sin x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 0.700 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.700 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [taylor]: Taking taylor expansion of (cos x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (sin x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.701 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.701 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 0.701 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.706 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.706 * [taylor]: Taking taylor expansion of -1 in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.706 * [taylor]: Taking taylor expansion of -1 in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.706 * [taylor]: Taking taylor expansion of -1 in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.706 * [taylor]: Taking taylor expansion of -1 in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.710 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.710 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.710 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.710 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.710 * [taylor]: Taking taylor expansion of 1.0 in x 0.710 * [taylor]: Taking taylor expansion of (cos x) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (sin x) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.711 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of (cos x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (sin x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.713 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.713 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.715 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.715 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.715 * [taylor]: Taking taylor expansion of 1.0 in x 0.715 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.715 * [taylor]: Taking taylor expansion of -1 in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.715 * [taylor]: Taking taylor expansion of -1 in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.716 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.716 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.716 * [taylor]: Taking taylor expansion of -1 in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.716 * [taylor]: Taking taylor expansion of -1 in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.717 * * * [progress]: simplifying candidates 0.719 * [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)) 0.724 * * [simplify]: iteration 0 : 303 enodes (cost 818 ) 0.729 * * [simplify]: iteration 1 : 799 enodes (cost 768 ) 0.742 * * [simplify]: iteration 2 : 2970 enodes (cost 766 ) 0.800 * * [simplify]: iteration 3 : 5001 enodes (cost 766 ) 0.807 * [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)) (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)) (* 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))) (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)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.808 * * * [progress]: adding candidates to table 0.955 * * [progress]: iteration 4 / 4 0.955 * * * [progress]: picking best candidate 0.991 * * * * [pick]: Picked # 0.991 * * * [progress]: localizing error 1.000 * * * [progress]: generating rewritten candidates 1.000 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 1.003 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.009 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.025 * * * [progress]: generating series expansions 1.025 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 1.025 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.025 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (cos x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (cos x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.027 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.028 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.028 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.028 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.028 * [taylor]: Taking taylor expansion of -1 in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.028 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.028 * [taylor]: Taking taylor expansion of -1 in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.028 * [approximate]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in (x) around 0 1.028 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 1.028 * [taylor]: Taking taylor expansion of (sin x) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of (cos x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 1.029 * [taylor]: Taking taylor expansion of (sin x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of (cos x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.031 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.031 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 1.031 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.031 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 1.032 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.034 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.034 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 1.034 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.034 * [taylor]: Taking taylor expansion of -1 in x 1.034 * [taylor]: Taking taylor expansion of 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 -1 in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 1.034 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.034 * [taylor]: Taking taylor expansion of -1 in x 1.034 * [taylor]: Taking taylor expansion of 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 -1 in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.036 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.036 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.036 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.036 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of (cos x) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (sin x) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.036 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of (cos x) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (sin x) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.039 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.039 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.039 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.039 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [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 1.041 * [taylor]: Taking taylor expansion of (sin (/ -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 1.041 * [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 1.043 * * * [progress]: simplifying candidates 1.045 * [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 (sin x)) (log (- 1.0 (cos x)))) (log (/ (sin x) (- 1.0 (cos x)))) (exp (/ (sin x) (- 1.0 (cos x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x)))) (* (* (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (neg (sin x)) (neg (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (/ (cbrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (- 1.0 (cos x))) (/ (sqrt (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ 1 (sqrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ 1 1) (/ (sin x) (- 1.0 (cos x))) (/ 1 (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ 1 1) (/ (sin x) (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) 1) (/ (sin x) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) 1) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3))) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x)))) (neg 1) (neg (- (log (sin x)) (log (- 1.0 (cos x))))) (neg (log (/ (sin x) (- 1.0 (cos x))))) (- 0 (- (log (sin x)) (log (- 1.0 (cos x))))) (- 0 (log (/ (sin x) (- 1.0 (cos x))))) (- (log 1) (- (log (sin x)) (log (- 1.0 (cos x))))) (- (log 1) (log (/ (sin x) (- 1.0 (cos x))))) (log (/ 1 (/ (sin x) (- 1.0 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(- 1.0 (cos x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) 1)) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos 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))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 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))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ 1 (/ (sin x) (cbrt (- 1.0 (cos x))))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) 1 (/ (- 1.0 (cos x)) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (- 1.0 (cos x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) 1)) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 1 (/ 1 (sin x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ 1 (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 x) (* 1/6 x)) (* 1/360 (pow x 3))) (/ (sin x) (- 1.0 (cos x))) (/ (sin 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)) 1.108 * * * [progress]: adding candidates to table 1.222 * [progress]: [Phase 3 of 3] Extracting. 1.222 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.224 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.224 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # #) 1.300 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# #) 1.336 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 1.412 * * * [regime]: Found split indices: #