7.862 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.065 * [progress]: [Phase 2 of 3] Improving. 0.065 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.067 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.068 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.069 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.070 * * [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 0.074 * * * * [pick]: Picked # 0.074 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.086 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.091 * * * [progress]: generating series expansions 0.091 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.091 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.091 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (cos x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.094 * [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 0.101 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.114 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.114 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 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 -1 in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.115 * [taylor]: Taking taylor expansion of -1 in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.125 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.125 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (cos x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (cos x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.130 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.134 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.134 * [taylor]: Taking taylor expansion of -1 in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.134 * [taylor]: Taking taylor expansion of -1 in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.137 * * * [progress]: simplifying candidates 0.138 * [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)) (- (+ x 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)) (pow x 3)) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.141 * * [simplify]: iteration 0 : 215 enodes (cost 264 ) 0.145 * * [simplify]: iteration 1 : 745 enodes (cost 235 ) 0.155 * * [simplify]: iteration 2 : 2635 enodes (cost 235 ) 0.198 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 0.200 * [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)) (- (+ x 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (* -1/24 (pow x 4)) (* (pow x 2) (+ x 1/2))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.200 * * * [progress]: adding candidates to table 0.321 * * [progress]: iteration 2 / 4 0.321 * * * [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) 0.366 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.371 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.386 * * * [progress]: generating series expansions 0.386 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.386 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (cos x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (cos x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.391 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.394 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.395 * [taylor]: Taking taylor expansion of -1 in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.395 * [taylor]: Taking taylor expansion of -1 in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.398 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.398 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (cos x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (cos x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.406 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.407 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.418 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.418 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.418 * [taylor]: Taking taylor expansion of -1 in x 0.418 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.418 * [taylor]: Taking taylor expansion of -1 in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.418 * [taylor]: Taking taylor expansion of -1 in x 0.418 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.418 * [taylor]: Taking taylor expansion of -1 in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.437 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.437 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.437 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (cos x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.440 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (cos x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.447 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.460 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.460 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.460 * [taylor]: Taking taylor expansion of -1 in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.460 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.460 * [taylor]: Taking taylor expansion of -1 in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.470 * * * [progress]: simplifying candidates 0.472 * [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)) (pow x 3)) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (pow x 2) (* 1/2 x)) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ x 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 0.479 * * [simplify]: iteration 0 : 514 enodes (cost 1266 ) 0.487 * * [simplify]: iteration 1 : 1851 enodes (cost 1191 ) 0.512 * * [simplify]: iteration 2 : 5002 enodes (cost 1180 ) 0.519 * [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) (+ (* -1/24 (pow x 4)) (* (pow x 2) (+ x 1/2))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* -1/24 (pow x 3)) (* x (+ x 1/2))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ x 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 0.520 * * * [progress]: adding candidates to table 0.828 * * [progress]: iteration 3 / 4 0.828 * * * [progress]: picking best candidate 0.857 * * * * [pick]: Picked # 0.857 * * * [progress]: localizing error 0.865 * * * [progress]: generating rewritten candidates 0.865 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.876 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.880 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.900 * * * [progress]: generating series expansions 0.900 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.900 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 0.900 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.900 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.901 * [taylor]: Taking taylor expansion of (cos x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.901 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.901 * [taylor]: Taking taylor expansion of (cos x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.913 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 0.913 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.913 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.913 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.933 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 0.933 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.933 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.934 * [taylor]: Taking taylor expansion of -1 in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.934 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.934 * [taylor]: Taking taylor expansion of -1 in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.950 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.950 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 0.950 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.950 * [taylor]: Taking taylor expansion of (cos x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.951 * [taylor]: Taking taylor expansion of (cos x) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.954 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 0.955 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.962 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 0.962 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.977 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.978 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 0.978 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.978 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.978 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.978 * [taylor]: Taking taylor expansion of (cos x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.984 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.984 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.984 * [taylor]: Taking taylor expansion of 1.0 in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.984 * [taylor]: Taking taylor expansion of (cos x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.996 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 0.996 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.996 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.997 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.997 * [taylor]: Taking taylor expansion of x in x 1.030 * [approximate]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in (x) around 0 1.030 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 1.030 * [taylor]: Taking taylor expansion of -1 in x 1.030 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 1.030 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.030 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.030 * [taylor]: Taking taylor expansion of -1 in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.030 * [taylor]: Taking taylor expansion of 1.0 in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 1.031 * [taylor]: Taking taylor expansion of -1 in x 1.031 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 1.031 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 1.031 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.031 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.031 * [taylor]: Taking taylor expansion of -1 in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.063 * * * [progress]: simplifying candidates 1.065 * [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))) (- (+ (pow x 2) (* 1/2 x)) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (/ 1 x) (+ (pow x 2) (* 1/2 x))) (/ (cos x) x) (/ (cos x) x) (- (+ x 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 1.071 * * [simplify]: iteration 0 : 446 enodes (cost 1011 ) 1.078 * * [simplify]: iteration 1 : 1449 enodes (cost 934 ) 1.100 * * [simplify]: iteration 2 : 5002 enodes (cost 930 ) 1.105 * [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))) (+ (* -1/24 (pow x 3)) (* x (+ x 1/2))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (/ 1 x) (* x (+ x 1/2))) (/ (cos x) x) (/ (cos x) x) (- (+ x 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 1.106 * * * [progress]: adding candidates to table 1.403 * * [progress]: iteration 4 / 4 1.403 * * * [progress]: picking best candidate 1.434 * * * * [pick]: Picked # 1.434 * * * [progress]: localizing error 1.440 * * * [progress]: generating rewritten candidates 1.440 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.445 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.451 * * * [progress]: generating series expansions 1.451 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.451 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 1.452 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 1.452 * [taylor]: Taking taylor expansion of 1/24 in x 1.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.452 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 1.452 * [taylor]: Taking taylor expansion of 1/24 in x 1.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.460 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 1.460 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 1.460 * [taylor]: Taking taylor expansion of 1/24 in x 1.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 1.460 * [taylor]: Taking taylor expansion of 1/24 in x 1.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.467 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 1.468 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 1.468 * [taylor]: Taking taylor expansion of 1/24 in x 1.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 1.468 * [taylor]: Taking taylor expansion of 1/24 in x 1.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.475 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.475 * [approximate]: Taking taylor expansion of (- (+ x 1/2) (* 1/24 (pow x 2))) in (x) around 0 1.476 * [taylor]: Taking taylor expansion of (- (+ x 1/2) (* 1/24 (pow x 2))) in x 1.476 * [taylor]: Taking taylor expansion of (+ x 1/2) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of 1/2 in x 1.476 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 1.476 * [taylor]: Taking taylor expansion of 1/24 in x 1.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of (- (+ x 1/2) (* 1/24 (pow x 2))) in x 1.476 * [taylor]: Taking taylor expansion of (+ x 1/2) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of 1/2 in x 1.476 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 1.476 * [taylor]: Taking taylor expansion of 1/24 in x 1.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.478 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 1.478 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of 1/2 in x 1.479 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 1.479 * [taylor]: Taking taylor expansion of 1/24 in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.480 * [taylor]: Taking taylor expansion of 1/2 in x 1.480 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 1.480 * [taylor]: Taking taylor expansion of 1/24 in x 1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.486 * [approximate]: Taking taylor expansion of (- 1/2 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 x))) in (x) around 0 1.486 * [taylor]: Taking taylor expansion of (- 1/2 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 x))) in x 1.486 * [taylor]: Taking taylor expansion of 1/2 in x 1.486 * [taylor]: Taking taylor expansion of (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 x)) in x 1.486 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 1.486 * [taylor]: Taking taylor expansion of 1/24 in x 1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.486 * [taylor]: Taking taylor expansion of x in x 1.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.486 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (- 1/2 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 x))) in x 1.487 * [taylor]: Taking taylor expansion of 1/2 in x 1.487 * [taylor]: Taking taylor expansion of (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 x)) in x 1.487 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 1.487 * [taylor]: Taking taylor expansion of 1/24 in x 1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.493 * * * [progress]: simplifying candidates 1.494 * [simplify]: Simplifying using # : (+ (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)) (/ (* (exp x) (exp 1/2)) (exp (* 1/24 (pow x 2)))) (/ (exp (+ x 1/2)) (exp (* 1/24 (pow x 2)))) (log (- (+ x 1/2) (* 1/24 (pow x 2)))) (exp (- (+ x 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ x 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ x 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ x 1/2) (* 1/24 (pow x 2)))) (* (* (- (+ x 1/2) (* 1/24 (pow x 2))) (- (+ x 1/2) (* 1/24 (pow x 2)))) (- (+ x 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ x 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ x 1/2) (* 1/24 (pow x 2)))) (- (pow (+ x 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ x 1/2) (+ x 1/2)) (+ (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* (+ x 1/2) (* 1/24 (pow x 2))))) (neg (* 1/24 (pow x 2))) (- (* (+ x 1/2) (+ x 1/2)) (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2)))) (+ (+ x 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (neg (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (- (+ x 1/2) (* 1/24 (pow x 2))) (- (+ x 1/2) (* 1/24 (pow x 2))) (- (+ x 1/2) (* 1/24 (pow x 2))) 1.497 * * [simplify]: iteration 0 : 179 enodes (cost 204 ) 1.501 * * [simplify]: iteration 1 : 739 enodes (cost 184 ) 1.518 * * [simplify]: iteration 2 : 3903 enodes (cost 180 ) 1.640 * * [simplify]: iteration 3 : 5001 enodes (cost 179 ) 1.641 * [simplify]: Simplified to: (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)) (* (/ (pow (cbrt x) 4) 2) 1/12) (* 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)) (exp (- (+ x 1/2) (* 1/24 (pow x 2)))) (exp (- (+ x 1/2) (* 1/24 (pow x 2)))) (log (- (+ x 1/2) (* 1/24 (pow x 2)))) (exp (- (+ x 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ x 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ x 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ x 1/2) (* 1/24 (pow x 2)))) (pow (- (+ x 1/2) (* 1/24 (pow x 2))) 3) (sqrt (- (+ x 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ x 1/2) (* 1/24 (pow x 2)))) (- (pow (+ x 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ x 1/2) (+ (+ x 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (* -1/24 (pow x 2)) (+ (* -1/576 (pow x 4)) (* (+ x 1/2) (+ x 1/2))) (+ (+ x 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (* -1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (- (+ x 1/2) (* 1/24 (pow x 2))) (- (+ x 1/2) (* 1/24 (pow x 2))) (- (+ x 1/2) (* 1/24 (pow x 2))) 1.641 * * * [progress]: adding candidates to table 1.732 * [progress]: [Phase 3 of 3] Extracting. 1.732 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 1.734 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.734 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 1.837 * * * [regime]: Found split indices: #