15.396 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.054 * [progress]: [Phase 2 of 3] Improving. 0.055 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.057 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.058 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.059 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.060 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.062 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.062 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.077 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.082 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.082 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (cos x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (cos x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.105 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.105 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.119 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.119 * [taylor]: Taking taylor expansion of -1 in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.120 * [taylor]: Taking taylor expansion of -1 in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.130 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.130 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (cos x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (cos x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.141 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.145 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.149 * * * [progress]: simplifying candidates 0.150 * [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))) (neg (- 1.0 (cos x))) (neg (* 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)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/720 (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)) 0.154 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.158 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.168 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.213 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.216 * [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))) (neg (- 1.0 (cos x))) (neg (* 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)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/720 (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)) 0.216 * * * [progress]: adding candidates to table 0.337 * * [progress]: iteration 2 / 4 0.337 * * * [progress]: picking best candidate 0.356 * * * * [pick]: Picked # 0.356 * * * [progress]: localizing error 0.362 * * * [progress]: generating rewritten candidates 0.362 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.365 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.371 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.387 * * * [progress]: generating series expansions 0.387 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.387 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (cos x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (cos x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.398 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.406 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.406 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.406 * [taylor]: Taking taylor expansion of -1 in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.406 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.406 * [taylor]: Taking taylor expansion of -1 in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.409 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.409 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.409 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.410 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of (cos x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.414 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (cos x) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.435 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.453 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.453 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.453 * [taylor]: Taking taylor expansion of -1 in x 0.453 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.453 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.454 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.477 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.477 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.477 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (cos x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (cos x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.495 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.495 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.513 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.524 * * * [progress]: simplifying candidates 0.527 * [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 x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (neg (- 1.0 (cos x))) (neg x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (- (log (- 1.0 (cos x))) (log x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log 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)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos 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)) (neg (/ (- 1.0 (cos x)) x)) (neg x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) 1) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) 1) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) 1) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 1) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) 1) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) 1) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ 1 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)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) 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)) 0.534 * * [simplify]: iteration 0 : 531 enodes (cost 1270 ) 0.542 * * [simplify]: iteration 1 : 1899 enodes (cost 1197 ) 0.567 * * [simplify]: iteration 2 : 5001 enodes (cost 1186 ) 0.574 * [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)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (cos x) 1.0) (neg x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) x) (* x (+ 1.0 (cos x))) (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)) (pow x 2)) 3) (pow (/ (- 1.0 (cos x)) (pow x 2)) 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)) (pow x 2)) 3) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (/ (- (cos x) 1.0) x) (neg x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (pow (cbrt x) 3))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (/ x (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (* (/ (/ (sqrt (- 1.0 (cos x))) 2) (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (sqrt (- 1.0 (cos x))) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (* (/ 1/2 (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (* (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 2) (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (* (/ 1/2 (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (pow x 2) (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)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) 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)) 0.575 * * * [progress]: adding candidates to table 0.802 * * [progress]: iteration 3 / 4 0.802 * * * [progress]: picking best candidate 0.821 * * * * [pick]: Picked # 0.821 * * * [progress]: localizing error 0.829 * * * [progress]: generating rewritten candidates 0.829 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.845 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.849 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.871 * * * [progress]: generating series expansions 0.871 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.871 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 0.871 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.871 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.872 * [taylor]: Taking taylor expansion of (cos x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.872 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.873 * [taylor]: Taking taylor expansion of (cos x) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.895 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 0.895 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.895 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.895 * [taylor]: Taking taylor expansion of 1.0 in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.896 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.896 * [taylor]: Taking taylor expansion of 1.0 in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.917 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 0.917 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.917 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.917 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.918 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.934 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.935 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 0.935 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.935 * [taylor]: Taking taylor expansion of (cos x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.935 * [taylor]: Taking taylor expansion of (cos x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.941 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 0.941 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.949 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 0.949 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.949 * [taylor]: Taking taylor expansion of -1 in x 0.949 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.949 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.949 * [taylor]: Taking taylor expansion of -1 in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.950 * [taylor]: Taking taylor expansion of -1 in x 0.950 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.950 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.950 * [taylor]: Taking taylor expansion of -1 in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.965 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.965 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 0.965 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.965 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.965 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.965 * [taylor]: Taking taylor expansion of (cos x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.971 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.971 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.971 * [taylor]: Taking taylor expansion of (cos x) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of x in x 1.001 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 1.001 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 1.001 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 1.002 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.032 * [approximate]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in (x) around 0 1.032 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 1.032 * [taylor]: Taking taylor expansion of -1 in x 1.032 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 1.032 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.032 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.032 * [taylor]: Taking taylor expansion of x 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 -1 in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.033 * [taylor]: Taking taylor expansion of 1.0 in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 1.033 * [taylor]: Taking taylor expansion of -1 in x 1.033 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 1.033 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.033 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.033 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.033 * [taylor]: Taking taylor expansion of -1 in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.033 * [taylor]: Taking taylor expansion of 1.0 in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.067 * * * [progress]: simplifying candidates 1.069 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 x)) (exp (/ (cos x) x))) (log (- (/ 1.0 x) (/ (cos x) x))) (exp (- (/ 1.0 x) (/ (cos x) x))) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (- (/ 1.0 x) (/ (cos x) x))) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (- 1.0 (cos x)) (- (* 1.0 x) (* x (cos x))) (* x x) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x)))) (neg (/ (cos x) x)) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x))) (+ (/ 1.0 x) (/ (cos x) x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x)) (- 1.0 (cos x)) (neg (/ (cos x) x)) (- (log (cos x)) (log x)) (log (/ (cos x) x)) (exp (/ (cos x) x)) (/ (* (* (cos x) (cos x)) (cos x)) (* (* x x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (* (* (/ (cos x) x) (/ (cos x) x)) (/ (cos x) x)) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (neg (cos x)) (neg x) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) 1) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) (/ 1 1) (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (/ (cos x) 1) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (cos x)) (- (log (- (/ 1.0 x) (/ (cos x) x))) (log x)) (log (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (exp (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (/ (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x))) (* (* x x) x)) (* (cbrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (cbrt (/ (- (/ 1.0 x) (/ (cos x) x)) x))) (cbrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (* (* (/ (- (/ 1.0 x) (/ (cos x) x)) x) (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (sqrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (sqrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (neg (- (/ 1.0 x) (/ (cos x) x))) (neg x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt x)) (/ (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (sqrt x)) (/ (cbrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt x)) (/ (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) 1) (/ (cbrt (- (/ 1.0 x) (/ (cos x) x))) x) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt x)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt x)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt x)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) 1) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- (/ 1.0 x) (/ (cos x) x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- (/ 1.0 x) (/ (cos x) x)) (sqrt x)) (/ 1 1) (/ (- (/ 1.0 x) (/ (cos x) x)) x) (/ (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (cbrt x)) (/ (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (sqrt x)) (/ (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (sqrt x)) (/ (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) 1) (/ (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) x) (/ (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (cbrt x)) (/ (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (sqrt x)) (/ (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (sqrt x)) (/ (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) 1) (/ (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) x) (/ (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (* (cbrt x) (cbrt x))) (/ (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (cbrt x)) (/ (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (sqrt x)) (/ (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (sqrt x)) (/ (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) 1) (/ (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) x) (/ (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (* (cbrt x) (cbrt x))) (/ (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (cbrt x)) (/ (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (sqrt x)) (/ (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (sqrt x)) (/ (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) 1) (/ (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (- (/ 1.0 x) (/ (cos x) x)) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (- (/ 1.0 x) (/ (cos x) x)) (sqrt x)) (/ (/ 1 1) 1) (/ (- (/ 1.0 x) (/ (cos x) x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- (/ 1.0 x) (/ (cos x) x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- (/ 1.0 x) (/ (cos x) x)) (sqrt x)) (/ 1 1) (/ (- (/ 1.0 x) (/ (cos x) x)) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- (/ 1.0 x) (/ (cos x) x))) (/ (- (/ 1.0 x) (/ (cos x) x)) (* (cbrt x) (cbrt x))) (/ (- (/ 1.0 x) (/ (cos x) x)) (sqrt x)) (/ (- (/ 1.0 x) (/ (cos x) x)) 1) (/ x (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (/ x (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (/ x (- (/ 1.0 x) (/ (cos x) x))) (/ x (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x)))) (/ x (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x)))) (/ x (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x)))) (/ x (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)))) (/ x (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x)))) (/ x (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x)))) (/ x (- (/ 1.0 x) (/ (cos x) x))) (/ x (- (/ 1.0 x) (/ (cos x) x))) (/ x (- 1.0 (cos x))) (* x x) (* x (* x x)) (* x (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x))))) (* x (+ (/ 1.0 x) (/ (cos x) x))) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (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)) 1.076 * * [simplify]: iteration 0 : 463 enodes (cost 1015 ) 1.084 * * [simplify]: iteration 1 : 1518 enodes (cost 940 ) 1.108 * * [simplify]: iteration 2 : 5002 enodes (cost 936 ) 1.113 * [simplify]: Simplified to: (exp (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (- (/ 1.0 x) (/ (cos x) x))) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (- 1.0 (cos x)) (* x (- 1.0 (cos x))) (pow x 2) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (+ (* (/ (cos x) x) (+ (/ (cos x) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x))) (neg (/ (cos x) x)) (* (+ (/ 1.0 x) (/ (cos x) x)) (/ (- 1.0 (cos x)) x)) (+ (/ 1.0 x) (/ (cos x) x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (- 1.0 (cos x)) (neg (/ (cos x) x)) (log (/ (cos x) x)) (log (/ (cos x) x)) (exp (/ (cos x) x)) (pow (/ (cos x) x) 3) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (pow (/ (cos x) x) 3) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (neg (cos x)) (neg x) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (/ (cbrt (cos x)) (sqrt x)) (* (cbrt (cos x)) (cbrt (cos x))) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (sqrt (cos x)) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) 1 (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (cos x) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (cos x)) (log (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (log (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (exp (/ (- 1.0 (cos x)) (pow x 2))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (* (cbrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (cbrt (/ (- (/ 1.0 x) (/ (cos x) x)) x))) (cbrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (sqrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (sqrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (/ (- (cos x) 1.0) x) (neg x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt x)) (/ (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (sqrt x)) (/ (cbrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt x)) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (/ (cbrt (- (/ 1.0 x) (/ (cos x) x))) x) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt x)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt x)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (cbrt x)) (/ (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (sqrt x)) (/ (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (sqrt x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (/ (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) x) (/ (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (cbrt x)) (/ (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (sqrt x)) (/ (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (sqrt x)) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (/ (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) x) (/ (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (* (cbrt x) (cbrt x))) (/ (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (cbrt x)) (/ (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (sqrt x)) (/ (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (sqrt x)) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (/ (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) x) (/ (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (* (cbrt x) (cbrt x))) (/ (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (cbrt x)) (/ (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (sqrt x)) (+ (/ (sqrt 1.0) x) (neg (/ (sqrt (cos x)) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (/ (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) x) (* (/ 1/2 (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (sqrt x) (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* x (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (sqrt x))) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 x) (* (/ x (- 1.0 (cos x))) x) (/ (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (/ x (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ x (- 1.0 (cos x))) x) (/ x (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x)))) (/ x (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x)))) (/ x (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x)))) (/ x (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)))) (* (/ x (- 1.0 (cos x))) (cbrt x)) (* (/ x (- 1.0 (cos x))) (sqrt x)) (* (/ x (- 1.0 (cos x))) x) (* (/ x (- 1.0 (cos x))) x) (/ x (- 1.0 (cos x))) (pow x 2) (pow x 3) (* (+ (* (/ (cos x) x) (+ (/ (cos x) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x))) x) (* x (+ (/ 1.0 x) (/ (cos x) x))) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (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)) 1.118 * * * [progress]: adding candidates to table 1.336 * * [progress]: iteration 4 / 4 1.336 * * * [progress]: picking best candidate 1.350 * * * * [pick]: Picked # 1.350 * * * [progress]: localizing error 1.359 * * * [progress]: generating rewritten candidates 1.359 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.371 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 1.375 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.399 * * * [progress]: generating series expansions 1.399 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.400 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 1.400 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 1.400 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.400 * [taylor]: Taking taylor expansion of 1.0 in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.400 * [taylor]: Taking taylor expansion of (cos x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 1.401 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.401 * [taylor]: Taking taylor expansion of (cos x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.439 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 1.439 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 1.439 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 1.440 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.467 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 1.468 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.468 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.468 * [taylor]: Taking taylor expansion of -1 in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.468 * [taylor]: Taking taylor expansion of 1.0 in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.468 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.469 * [taylor]: Taking taylor expansion of -1 in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.469 * [taylor]: Taking taylor expansion of 1.0 in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.498 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.498 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 1.498 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.498 * [taylor]: Taking taylor expansion of (cos x) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.498 * [taylor]: Taking taylor expansion of (cos x) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.509 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 1.509 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.510 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.523 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 1.523 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 1.523 * [taylor]: Taking taylor expansion of -1 in x 1.523 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.523 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.523 * [taylor]: Taking taylor expansion of -1 in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 1.523 * [taylor]: Taking taylor expansion of -1 in x 1.523 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.524 * [taylor]: Taking taylor expansion of -1 in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.549 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.549 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 1.549 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 1.549 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 1.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.550 * [taylor]: Taking taylor expansion of (cos x) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 1.556 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 1.556 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of 1.0 in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 1.556 * [taylor]: Taking taylor expansion of (cos x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.581 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 1.582 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 1.582 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.582 * [taylor]: Taking taylor expansion of 1.0 in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 1.582 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.582 * [taylor]: Taking taylor expansion of 1.0 in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.612 * [approximate]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in (x) around 0 1.612 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 1.612 * [taylor]: Taking taylor expansion of -1 in x 1.613 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 1.613 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.613 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.613 * [taylor]: Taking taylor expansion of -1 in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.613 * [taylor]: Taking taylor expansion of 1.0 in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 1.613 * [taylor]: Taking taylor expansion of -1 in x 1.613 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 1.613 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.613 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.613 * [taylor]: Taking taylor expansion of -1 in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.653 * * * [progress]: simplifying candidates 1.655 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 x)) (exp (/ (cos x) x))) (log (- (/ 1.0 x) (/ (cos x) x))) (exp (- (/ 1.0 x) (/ (cos x) x))) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (- (/ 1.0 x) (/ (cos x) x))) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (- 1.0 (cos x)) (- (* 1.0 x) (* x (cos x))) (* x x) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x)))) (neg (/ (cos x) x)) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x))) (+ (/ 1.0 x) (/ (cos x) x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x)) (- 1.0 (cos x)) (neg (/ (cos x) x)) (- (log (cos x)) (log x)) (log (/ (cos x) x)) (exp (/ (cos x) x)) (/ (* (* (cos x) (cos x)) (cos x)) (* (* x x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (* (* (/ (cos x) x) (/ (cos x) x)) (/ (cos x) x)) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (neg (cos x)) (neg x) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) 1) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) (/ 1 1) (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (/ (cos x) 1) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (cos x)) (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x)) (+ (log (- (/ 1.0 x) (/ (cos x) x))) (neg (log x))) (+ (log (- (/ 1.0 x) (/ (cos x) x))) (- 0 (log x))) (+ (log (- (/ 1.0 x) (/ (cos x) x))) (- (log 1) (log x))) (+ (log (- (/ 1.0 x) (/ (cos x) x))) (log (/ 1 x))) (log (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (exp (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (* (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x))) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (cbrt (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x)))) (cbrt (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (* (* (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x)) (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (sqrt (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (sqrt (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (* (- 1.0 (cos x)) 1) (* x x) (* (- (* 1.0 x) (* x (cos x))) 1) (* (* x x) x) (* (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) 1) (* (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x)))) x) (* (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x))) 1) (* (+ (/ 1.0 x) (/ (cos x) x)) x) (* (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (/ 1 x))) (* (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (/ 1 x))) (* (sqrt (- (/ 1.0 x) (/ (cos x) x))) (/ (sqrt 1) (sqrt x))) (* (sqrt (- (/ 1.0 x) (/ (cos x) x))) (/ (sqrt 1) (sqrt x))) (* (sqrt (- (/ 1.0 x) (/ (cos x) x))) (/ 1 (sqrt x))) (* (sqrt (- (/ 1.0 x) (/ (cos x) x))) (/ 1 (sqrt x))) (* (- (/ 1.0 x) (/ (cos x) x)) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (- (/ 1.0 x) (/ (cos x) x)) (sqrt (/ 1 x))) (* (- (/ 1.0 x) (/ (cos x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (- (/ 1.0 x) (/ (cos x) x)) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (- (/ 1.0 x) (/ (cos x) x)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (/ 1.0 x) (/ (cos x) x)) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (- (/ 1.0 x) (/ (cos x) x)) (/ (sqrt 1) (sqrt x))) (* (- (/ 1.0 x) (/ (cos x) x)) (/ (sqrt 1) 1)) (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 (* (cbrt x) (cbrt x)))) (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 (sqrt x))) (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 1)) (* (- (/ 1.0 x) (/ (cos x) x)) 1) (* (- (/ 1.0 x) (/ (cos x) x)) 1) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (/ 1 x)) (* (sqrt (- (/ 1.0 x) (/ (cos x) x))) (/ 1 x)) (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x)) (* (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (/ 1 x)) (* (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (/ 1 x)) (* (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (/ 1 x)) (* (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (/ 1 x)) (* (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) (/ 1 x)) (* (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (/ 1 x)) (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x)) (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x)) (* (- 1.0 (cos x)) (/ 1 x)) (* (- (/ 1.0 x) (/ (cos x) x)) 1) (* (- 1.0 (cos x)) (/ 1 x)) (* (- (* 1.0 x) (* x (cos x))) (/ 1 x)) (* (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (/ 1 x)) (* (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x))) (/ 1 x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (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)) 1.661 * * [simplify]: iteration 0 : 441 enodes (cost 753 ) 1.670 * * [simplify]: iteration 1 : 2022 enodes (cost 677 ) 1.704 * * [simplify]: iteration 2 : 5001 enodes (cost 659 ) 1.708 * [simplify]: Simplified to: (exp (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (- (/ 1.0 x) (/ (cos x) x))) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (- 1.0 (cos x)) (* x (- 1.0 (cos x))) (pow x 2) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (+ (* (/ (cos x) x) (+ (/ (cos x) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x))) (neg (/ (cos x) x)) (* (+ (/ 1.0 x) (/ (cos x) x)) (/ (- 1.0 (cos x)) x)) (+ (/ 1.0 x) (/ (cos x) x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (- 1.0 (cos x)) (neg (/ (cos x) x)) (log (/ (cos x) x)) (log (/ (cos x) x)) (exp (/ (cos x) x)) (pow (/ (cos x) x) 3) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (pow (/ (cos x) x) 3) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (neg (cos x)) (neg x) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (/ (cbrt (cos x)) (sqrt x)) (* (cbrt (cos x)) (cbrt (cos x))) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (sqrt (cos x)) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) 1 (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (cos x) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (cos x)) (/ (/ (- 1.0 (cos x)) x) x) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (pow (exp (/ 1 x)) (/ (- 1.0 (cos x)) x)) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (* (cbrt (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (cbrt (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x)))) (cbrt (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (sqrt (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (sqrt (* (- (/ 1.0 x) (/ (cos x) x)) (/ 1 x))) (- 1.0 (cos x)) (pow x 2) (* x (- 1.0 (cos x))) (pow x 3) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (* x (+ (* (/ (cos x) x) (+ (/ (cos x) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x)))) (* (+ (/ 1.0 x) (/ (cos x) x)) (/ (- 1.0 (cos x)) x)) (* (+ (/ 1.0 x) (/ (cos x) x)) x) (* (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (/ 1 x))) (* (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (/ 1 x))) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (pow x 1/2)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (pow x 1/2)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (pow x 1/2)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (pow x 1/2)) (* (* (/ (- 1.0 (cos x)) x) (cbrt (/ 1 x))) (cbrt (/ 1 x))) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (/ 1 x)) (* (sqrt (- (/ 1.0 x) (/ (cos x) x))) (/ 1 x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) x) (/ (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) x) (/ (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) x) (/ (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) x) (/ (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) x) (/ (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (/ (- (* 1.0 x) (* x (cos x))) x) (/ (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) x) (/ (* (+ (/ 1.0 x) (/ (cos x) x)) (/ (- 1.0 (cos x)) x)) x) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (cos x) 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) 1.709 * * * [progress]: adding candidates to table 1.889 * [progress]: [Phase 3 of 3] Extracting. 1.889 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.891 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.891 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # #) 1.921 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.960 * * * [regime]: Found split indices: #