13.837 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.066 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.067 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.068 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.069 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.071 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.071 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.071 * * [progress]: iteration 1 / 4 0.071 * * * [progress]: picking best candidate 0.072 * * * * [pick]: Picked # 0.072 * * * [progress]: localizing error 0.082 * * * [progress]: generating rewritten candidates 0.082 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.091 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.095 * * * [progress]: generating series expansions 0.095 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.095 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (cos x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (cos x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.113 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.113 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.126 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.126 * [taylor]: Taking taylor expansion of -1 in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.127 * [taylor]: Taking taylor expansion of -1 in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.136 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.136 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (cos x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (cos x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.146 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.150 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.154 * * * [progress]: simplifying candidates 0.154 * [simplify]: Simplifying using # : (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.162 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.166 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.177 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.216 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.218 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (pow x 2)) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.218 * * * [progress]: adding candidates to table 0.307 * * [progress]: iteration 2 / 4 0.307 * * * [progress]: picking best candidate 0.324 * * * * [pick]: Picked # 0.324 * * * [progress]: localizing error 0.336 * * * [progress]: generating rewritten candidates 0.337 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.361 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.366 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.374 * * * [progress]: generating series expansions 0.374 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.374 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.374 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.374 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.374 * [taylor]: Taking taylor expansion of 1/720 in x 0.374 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of 1/2 in x 0.374 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of 1/24 in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.374 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.374 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.374 * [taylor]: Taking taylor expansion of 1/720 in x 0.374 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of 1/2 in x 0.374 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of 1/24 in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.381 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.381 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.381 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.381 * [taylor]: Taking taylor expansion of 1/720 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of 1/2 in x 0.382 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.382 * [taylor]: Taking taylor expansion of 1/24 in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.383 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.383 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.383 * [taylor]: Taking taylor expansion of 1/720 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of 1/2 in x 0.383 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.383 * [taylor]: Taking taylor expansion of 1/24 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.399 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.399 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.399 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.399 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.399 * [taylor]: Taking taylor expansion of 1/720 in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of 1/2 in x 0.399 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.399 * [taylor]: Taking taylor expansion of 1/24 in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.400 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.400 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.400 * [taylor]: Taking taylor expansion of 1/720 in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.400 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of 1/2 in x 0.401 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.401 * [taylor]: Taking taylor expansion of 1/24 in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.419 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.420 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.420 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.420 * [taylor]: Taking taylor expansion of 1/720 in x 0.420 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.420 * [taylor]: Taking taylor expansion of 1/720 in x 0.420 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.431 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.431 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.431 * [taylor]: Taking taylor expansion of 1/720 in x 0.431 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.432 * [taylor]: Taking taylor expansion of 1/720 in x 0.432 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.443 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.443 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.443 * [taylor]: Taking taylor expansion of 1/720 in x 0.443 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.444 * [taylor]: Taking taylor expansion of 1/720 in x 0.444 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.455 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.455 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of 1/24 in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of 1/24 in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.463 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.463 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of 1/24 in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of 1/24 in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.470 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.470 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.470 * [taylor]: Taking taylor expansion of 1/24 in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.471 * [taylor]: Taking taylor expansion of 1/24 in x 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.478 * * * [progress]: simplifying candidates 0.479 * [simplify]: Simplifying using # : (/ (* (exp (* 1/720 (pow x 4))) (exp 1/2)) (exp (* 1/24 (pow x 2)))) (/ (exp (+ (* 1/720 (pow x 4)) 1/2)) (exp (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (* (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (+ (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (- (* 1/24 (pow x 2))) (- (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2)))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (log (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (* (* (* 1/720 1/720) 1/720) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (* (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x (/ 4 2))) (* (sqrt 1/720) (pow x (/ 4 2))) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow (sqrt x) 4)) (* 1/720 (pow 1 4)) (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) (* 1/720 1) (* 1/720 (pow x (/ 4 2))) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (log (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 (pow (sqrt x) 2)) (* 1/24 (pow 1 2)) (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (sqrt (pow x 2))) (* 1/24 1) (* 1/24 (pow x (/ 2 2))) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 0.484 * * [simplify]: iteration 0 : 268 enodes (cost 347 ) 0.490 * * [simplify]: iteration 1 : 1132 enodes (cost 316 ) 0.515 * * [simplify]: iteration 2 : 5001 enodes (cost 310 ) 0.517 * [simplify]: Simplified to: (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (pow (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (- (* 1/24 (pow x 2))) (+ (* (- 1/576) (pow x 4)) (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow x 2)) 1/720 (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) 1/720 (* 1/720 (pow x 2)) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* x 1/24) 1/24 (* x 1/24) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* x 1/24) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 0.517 * * * [progress]: adding candidates to table 0.656 * * [progress]: iteration 3 / 4 0.656 * * * [progress]: picking best candidate 0.672 * * * * [pick]: Picked # 0.672 * * * [progress]: localizing error 0.679 * * * [progress]: generating rewritten candidates 0.679 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.682 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.684 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.695 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.707 * * * [progress]: generating series expansions 0.707 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.707 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of (cos x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of (cos x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.718 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.718 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.718 * [taylor]: Taking taylor expansion of 1.0 in x 0.718 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.718 * [taylor]: Taking taylor expansion of 1.0 in x 0.718 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.721 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.722 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.722 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.722 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.725 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.725 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.725 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of (cos x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of (cos x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.735 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.735 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.739 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.739 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.739 * [taylor]: Taking taylor expansion of -1 in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.739 * [taylor]: Taking taylor expansion of -1 in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.743 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.743 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.743 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.743 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (cos x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (cos x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.798 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.798 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.798 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.799 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.813 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.813 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.813 * [taylor]: Taking taylor expansion of -1 in x 0.813 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.813 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.813 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.813 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.813 * [taylor]: Taking taylor expansion of -1 in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.814 * [taylor]: Taking taylor expansion of -1 in x 0.814 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.814 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.814 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.814 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.814 * [taylor]: Taking taylor expansion of -1 in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.833 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.833 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.833 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.833 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.833 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.833 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [taylor]: Taking taylor expansion of (cos x) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.837 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.837 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of (cos x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.888 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.888 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.888 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.889 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.903 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.904 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.904 * [taylor]: Taking taylor expansion of -1 in x 0.904 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.904 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.904 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.904 * [taylor]: Taking taylor expansion of -1 in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.905 * [taylor]: Taking taylor expansion of -1 in x 0.905 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.905 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.905 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.905 * [taylor]: Taking taylor expansion of -1 in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.923 * * * [progress]: simplifying candidates 0.925 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* 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(/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.931 * * [simplify]: iteration 0 : 242 enodes (cost 1020 ) 0.935 * * [simplify]: iteration 1 : 706 enodes (cost 972 ) 0.948 * * [simplify]: iteration 2 : 2968 enodes (cost 960 ) 1.016 * * [simplify]: iteration 3 : 5002 enodes (cost 960 ) 1.021 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos 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x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 1.022 * * * [progress]: adding candidates to table 1.301 * * [progress]: iteration 4 / 4 1.301 * * * [progress]: picking best candidate 1.318 * * * * [pick]: Picked # 1.318 * * * [progress]: localizing error 1.334 * * * [progress]: generating rewritten candidates 1.334 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.336 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 1.339 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.347 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.515 * * * [progress]: generating series expansions 1.515 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.515 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.515 * [taylor]: Taking taylor expansion of 1.0 in x 1.515 * [taylor]: Taking taylor expansion of (cos x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.515 * [taylor]: Taking taylor expansion of 1.0 in x 1.515 * [taylor]: Taking taylor expansion of (cos x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.526 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.526 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.526 * [taylor]: Taking taylor expansion of 1.0 in x 1.526 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.526 * [taylor]: Taking taylor expansion of x in x 1.527 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.527 * [taylor]: Taking taylor expansion of 1.0 in x 1.527 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.530 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.530 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.530 * [taylor]: Taking taylor expansion of 1.0 in x 1.530 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.530 * [taylor]: Taking taylor expansion of -1 in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.530 * [taylor]: Taking taylor expansion of 1.0 in x 1.530 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.531 * [taylor]: Taking taylor expansion of -1 in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.534 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 1.534 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.534 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.534 * [taylor]: Taking taylor expansion of 1.0 in x 1.534 * [taylor]: Taking taylor expansion of (cos x) in x 1.534 * [taylor]: Taking taylor expansion of x in x 1.534 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.534 * [taylor]: Taking taylor expansion of 1.0 in x 1.534 * [taylor]: Taking taylor expansion of (cos x) in x 1.534 * [taylor]: Taking taylor expansion of x in x 1.544 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.544 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.544 * [taylor]: Taking taylor expansion of 1.0 in x 1.544 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.544 * [taylor]: Taking taylor expansion of 1.0 in x 1.544 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.548 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.548 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.548 * [taylor]: Taking taylor expansion of 1.0 in x 1.548 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.548 * [taylor]: Taking taylor expansion of -1 in x 1.548 * [taylor]: Taking taylor expansion of x in x 1.548 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.548 * [taylor]: Taking taylor expansion of 1.0 in x 1.548 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.548 * [taylor]: Taking taylor expansion of -1 in x 1.548 * [taylor]: Taking taylor expansion of x in x 1.551 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.551 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 1.551 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.551 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.551 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.552 * [taylor]: Taking taylor expansion of 1.0 in x 1.552 * [taylor]: Taking taylor expansion of (cos x) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.556 * [taylor]: Taking taylor expansion of 1.0 in x 1.556 * [taylor]: Taking taylor expansion of (cos x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.606 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.606 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.606 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.606 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.606 * [taylor]: Taking taylor expansion of 1.0 in x 1.606 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.607 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.607 * [taylor]: Taking taylor expansion of 1.0 in x 1.607 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.621 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 1.621 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.621 * [taylor]: Taking taylor expansion of -1 in x 1.621 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.621 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.621 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.621 * [taylor]: Taking taylor expansion of 1.0 in x 1.621 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.621 * [taylor]: Taking taylor expansion of -1 in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.622 * [taylor]: Taking taylor expansion of -1 in x 1.622 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.622 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.622 * [taylor]: Taking taylor expansion of 1.0 in x 1.622 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.622 * [taylor]: Taking taylor expansion of -1 in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.640 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.641 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.641 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.641 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (cos x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.643 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.643 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.644 * [taylor]: Taking taylor expansion of 1.0 in x 1.644 * [taylor]: Taking taylor expansion of (cos x) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.659 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.659 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.677 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.677 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.677 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.677 * [taylor]: Taking taylor expansion of 1.0 in x 1.677 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.677 * [taylor]: Taking taylor expansion of -1 in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.678 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.678 * [taylor]: Taking taylor expansion of 1.0 in x 1.678 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.678 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.678 * [taylor]: Taking taylor expansion of -1 in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.688 * * * [progress]: simplifying candidates 1.694 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) x)) (+ (- (log (sqrt 1)) (- (log x) (log (sqrt (- 1.0 (cos x)))))) (- (log (sqrt (- 1.0 (cos x)))) (log x))) (+ (- (log (sqrt 1)) (- (log x) (log (sqrt (- 1.0 (cos x)))))) (log (/ (sqrt (- 1.0 (cos x))) x))) (+ (- (log (sqrt 1)) (log (/ x (sqrt (- 1.0 (cos x)))))) (- (log (sqrt (- 1.0 (cos x)))) (log x))) (+ (- (log (sqrt 1)) (log (/ x (sqrt (- 1.0 (cos x)))))) (log (/ (sqrt (- 1.0 (cos x))) x))) (+ (log (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (- (log (sqrt (- 1.0 (cos x)))) (log x))) (+ (log (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (log (/ (sqrt (- 1.0 (cos x))) x))) (log (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) x))) (exp (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (/ (* (* x x) x) (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))))) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x))) (* (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (/ (* (* x x) x) (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))))) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))))) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x))) (* (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))))) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x))) (* (* (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x))) (* (* (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x))) (* (cbrt (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) x)))) (cbrt (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) x))) (* (* (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) x))) (sqrt (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) x))) (sqrt (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt 1) (sqrt (- 1.0 (cos x)))) (* (/ x (sqrt (- 1.0 (cos x)))) x) (* (sqrt (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (sqrt (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (sqrt (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (sqrt (/ x (sqrt (- 1.0 (cos x)))))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (sqrt (sqrt 1)) (sqrt (/ x (sqrt (- 1.0 (cos x)))))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (sqrt (sqrt 1)) (sqrt (/ x (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (sqrt (/ x (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (sqrt (/ x (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (sqrt (/ x (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt 1)) (/ (sqrt x) (sqrt (sqrt (- 1.0 (cos x)))))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt 1) (sqrt (/ x (sqrt (- 1.0 (cos x)))))) (sqrt (/ (sqrt (- 1.0 (cos x))) x))) (* 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(/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt 1) (/ x (sqrt (cbrt (- 1.0 (cos x)))))) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt 1) (/ x (sqrt (sqrt (- 1.0 (cos x)))))) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt 1) (/ (pow x 2) (- 1.0 (cos x)))) (* (/ (sqrt 1) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt 1) (/ (pow x 2) (- 1.0 (cos x)))) (* (/ (sqrt 1) (/ x (sqrt (sqrt (- 1.0 (cos x)))))) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt 1) (/ (pow x 2) (- 1.0 (cos x)))) (/ (sqrt 1) (/ (pow x 2) (- 1.0 (cos x)))) (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt 1) (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt 1) (sqrt (+ 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt 1) (/ (pow x 2) (- 1.0 (cos x)))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) x) (* (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (sqrt (- 1.0 (cos x)))) (/ (sqrt 1) (/ x (sqrt (- 1.0 (cos x))))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 1.829 * * * [progress]: adding candidates to table 2.640 * [progress]: [Phase 3 of 3] Extracting. 2.640 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.642 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.642 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 2.692 * * * [regime]: Found split indices: #