20.046 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.055 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.056 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.057 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.059 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.060 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.060 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.060 * * [progress]: iteration 1 / 4 0.060 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.081 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.081 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (cos x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (cos x) in x 0.084 * [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 0.099 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.100 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.113 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.113 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.113 * [taylor]: Taking taylor expansion of -1 in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.113 * [taylor]: Taking taylor expansion of -1 in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.131 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.131 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [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 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [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 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [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))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.154 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.158 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.170 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.211 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.213 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (pow x 2)) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.213 * * * [progress]: adding candidates to table 0.310 * * [progress]: iteration 2 / 4 0.310 * * * [progress]: picking best candidate 0.331 * * * * [pick]: Picked # 0.332 * * * [progress]: localizing error 0.340 * * * [progress]: generating rewritten candidates 0.340 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.344 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.347 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.354 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.365 * * * [progress]: generating series expansions 0.365 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.365 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.365 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [taylor]: Taking taylor expansion of (cos x) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [taylor]: Taking taylor expansion of (cos x) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.376 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.380 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.380 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.380 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.384 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.384 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (cos x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (cos x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.394 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of 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 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 -1 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 -1 in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.402 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.402 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.402 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.402 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [taylor]: Taking taylor expansion of (cos x) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (cos x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.457 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.457 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.457 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.457 * [taylor]: Taking taylor expansion of 1.0 in x 0.457 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.458 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.472 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.472 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.472 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.497 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.497 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.497 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of (cos x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (cos x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.548 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.548 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.563 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.565 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.589 * * * [progress]: simplifying candidates 0.592 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.598 * * [simplify]: iteration 0 : 242 enodes (cost 1020 ) 0.602 * * [simplify]: iteration 1 : 706 enodes (cost 972 ) 0.615 * * [simplify]: iteration 2 : 2968 enodes (cost 972 ) 0.692 * * [simplify]: iteration 3 : 5002 enodes (cost 972 ) 0.697 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (/ (fabs (cbrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (pow x 1/2)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos 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x))) (sqrt x)) (sqrt 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (pow x 1/2)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt 1) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 0.698 * * * [progress]: adding candidates to table 0.975 * * [progress]: iteration 3 / 4 0.976 * * * [progress]: picking best candidate 0.997 * * * * [pick]: Picked # 0.997 * * * [progress]: localizing error 1.008 * * * [progress]: generating rewritten candidates 1.008 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.011 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.015 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.019 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.033 * * * [progress]: generating series expansions 1.033 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.034 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.034 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.034 * [taylor]: Taking taylor expansion of 1.0 in x 1.034 * [taylor]: Taking taylor expansion of (cos x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.034 * [taylor]: Taking taylor expansion of 1.0 in x 1.034 * [taylor]: Taking taylor expansion of (cos x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.044 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.045 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.048 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.048 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.048 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.049 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.049 * [taylor]: Taking taylor expansion of -1 in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.052 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.052 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.052 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.052 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of (cos x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.052 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of (cos x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.062 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.062 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.062 * [taylor]: Taking taylor expansion of 1.0 in x 1.062 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.063 * [taylor]: Taking taylor expansion of 1.0 in x 1.063 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.066 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.066 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.066 * [taylor]: Taking taylor expansion of 1.0 in x 1.066 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.066 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.066 * [taylor]: Taking taylor expansion of -1 in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.067 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.067 * [taylor]: Taking taylor expansion of -1 in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.074 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.074 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.074 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of (cos x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of (cos x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.085 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.088 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.088 * [taylor]: Taking taylor expansion of -1 in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.089 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.089 * [taylor]: Taking taylor expansion of -1 in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.092 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.092 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 1.092 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 1.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 1.092 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 1.092 * [taylor]: Taking taylor expansion of 1/3 in x 1.092 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 1.092 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 1.092 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (cos x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 1.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 1.097 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 1.097 * [taylor]: Taking taylor expansion of 1/3 in x 1.097 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 1.097 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (cos x) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.136 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 1.136 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 1.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 1.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 1.136 * [taylor]: Taking taylor expansion of 1/3 in x 1.136 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 1.137 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 1.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.137 * [taylor]: Taking taylor expansion of 1.0 in x 1.137 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 1.137 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 1.137 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 1.137 * [taylor]: Taking taylor expansion of 1/3 in x 1.137 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 1.137 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 1.138 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.138 * [taylor]: Taking taylor expansion of 1.0 in x 1.138 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.186 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 1.186 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 1.186 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 1.186 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 1.186 * [taylor]: Taking taylor expansion of 1/3 in x 1.186 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 1.186 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 1.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.186 * [taylor]: Taking taylor expansion of 1.0 in x 1.186 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.186 * [taylor]: Taking taylor expansion of -1 in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 1.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 1.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 1.187 * [taylor]: Taking taylor expansion of 1/3 in x 1.187 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 1.187 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 1.187 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.187 * [taylor]: Taking taylor expansion of 1.0 in x 1.187 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.187 * [taylor]: Taking taylor expansion of -1 in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.229 * * * [progress]: simplifying candidates 1.231 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (+ 1/3 1/3) (+ 1 1) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (+ 1 1) (+ (log (cbrt (- 1.0 (cos x)))) (log (cbrt (- 1.0 (cos x))))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (* (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x)))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* 1 1) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* 2 1/3) (* 2 1) (* (cbrt (- 1.0 (cos x))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt 1)) (* (cbrt (- 1.0 (cos x))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x)))))) (* (cbrt (- 1.0 (cos x))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (- 1.0 (cos x))) 1) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (sqrt (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 7/6480 (* (pow x 4) (exp (* 1/3 (+ (* 4 (log x)) (log 1/4)))))) (exp (* 1/3 (+ (* 4 (log x)) (log 1/4))))) (* 1/18 (* (pow x 2) (exp (* 1/3 (+ (* 4 (log x)) (log 1/4))))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 1.236 * * [simplify]: iteration 0 : 224 enodes (cost 813 ) 1.241 * * [simplify]: iteration 1 : 704 enodes (cost 769 ) 1.257 * * [simplify]: iteration 2 : 3166 enodes (cost 698 ) 1.329 * * [simplify]: iteration 3 : 5001 enodes (cost 681 ) 1.339 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 1/2) (pow (- 1.0 (cos x)) 1/2) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 1/2) (pow (- 1.0 (cos x)) 1/2) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 1/2) (pow (- 1.0 (cos x)) 1/2) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) 2/3 2 (pow (- 1.0 (cos x)) 2) (pow (pow (- 1.0 (cos x)) 2) 1/3) 2 (* 2 (log (cbrt (- 1.0 (cos x))))) (* 2 (log (cbrt (- 1.0 (cos x))))) (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (pow (- 1.0 (cos x)) 2) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (pow (- 1.0 (cos x)) 2) (fabs (cbrt (- 1.0 (cos x)))) (fabs (cbrt (- 1.0 (cos x)))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1 (pow (pow (- 1.0 (cos x)) 2) 1/3) 1 (pow (pow (- 1.0 (cos x)) 2) 1/3) (* (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x))))) 1 (pow (pow (- 1.0 (cos x)) 2) 1/3) 1 (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 1 (pow (pow (- 1.0 (cos x)) 2) 1/3) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 2/3 2 (* (cbrt (- 1.0 (cos x))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (cbrt (- 1.0 (cos x))) (pow (cbrt (cbrt (- 1.0 (cos x)))) 5) (pow (sqrt (cbrt (- 1.0 (cos x)))) 3) (cbrt (- 1.0 (cos x))) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- 1.0 (cos x)))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) 3) (pow (pow (- 1.0 (cos x)) 2) 1/3) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (* (pow 1/4 1/3) (pow x 4/3)) (- (+ (* 7/6480 (pow x 4)) 1) (* 1/18 (pow x 2)))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 1.339 * * * [progress]: adding candidates to table 1.559 * * [progress]: iteration 4 / 4 1.559 * * * [progress]: picking best candidate 1.584 * * * * [pick]: Picked # 1.635 * * * [progress]: localizing error 1.655 * * * [progress]: generating rewritten candidates 1.655 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.659 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 1 1 1) 1.663 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.665 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 1.674 * * * [progress]: generating series expansions 1.674 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.674 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.674 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.674 * [taylor]: Taking taylor expansion of 1.0 in x 1.674 * [taylor]: Taking taylor expansion of (cos x) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.674 * [taylor]: Taking taylor expansion of 1.0 in x 1.674 * [taylor]: Taking taylor expansion of (cos x) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.685 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.685 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.685 * [taylor]: Taking taylor expansion of 1.0 in x 1.685 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.686 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.686 * [taylor]: Taking taylor expansion of 1.0 in x 1.686 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.689 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.689 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.689 * [taylor]: Taking taylor expansion of 1.0 in x 1.689 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.689 * [taylor]: Taking taylor expansion of -1 in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.690 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.690 * [taylor]: Taking taylor expansion of 1.0 in x 1.690 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.690 * [taylor]: Taking taylor expansion of -1 in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.693 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 1 1 1) 1.693 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.693 * [taylor]: Taking taylor expansion of 1.0 in x 1.693 * [taylor]: Taking taylor expansion of (cos x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.693 * [taylor]: Taking taylor expansion of 1.0 in x 1.693 * [taylor]: Taking taylor expansion of (cos x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.703 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.703 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.703 * [taylor]: Taking taylor expansion of 1.0 in x 1.703 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.707 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.707 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.708 * [taylor]: Taking taylor expansion of 1.0 in x 1.708 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.708 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.708 * [taylor]: Taking taylor expansion of -1 in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.708 * [taylor]: Taking taylor expansion of 1.0 in x 1.708 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.708 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.708 * [taylor]: Taking taylor expansion of -1 in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.717 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.717 * [approximate]: Taking taylor expansion of (log (pow E (pow (pow (- 1.0 (cos x)) 1/6) 4))) in (x) around 0 1.717 * [taylor]: Taking taylor expansion of (log (pow E (pow (pow (- 1.0 (cos x)) 1/6) 4))) in x 1.717 * [taylor]: Taking taylor expansion of (pow E (pow (pow (- 1.0 (cos x)) 1/6) 4)) in x 1.717 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1.0 (cos x)) 1/6) 4) (log E))) in x 1.717 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1.0 (cos x)) 1/6) 4) (log E)) in x 1.717 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 1/6) 4) in x 1.717 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/6) in x 1.717 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos x))))) in x 1.717 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos x)))) in x 1.717 * [taylor]: Taking taylor expansion of 1/6 in x 1.717 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.717 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of (cos x) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.721 * [taylor]: Taking taylor expansion of (log E) in x 1.721 * [taylor]: Taking taylor expansion of E in x 1.724 * [taylor]: Taking taylor expansion of (log (pow E (pow (pow (- 1.0 (cos x)) 1/6) 4))) in x 1.724 * [taylor]: Taking taylor expansion of (pow E (pow (pow (- 1.0 (cos x)) 1/6) 4)) in x 1.724 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1.0 (cos x)) 1/6) 4) (log E))) in x 1.724 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1.0 (cos x)) 1/6) 4) (log E)) in x 1.724 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 1/6) 4) in x 1.724 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/6) in x 1.724 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos x))))) in x 1.724 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos x)))) in x 1.724 * [taylor]: Taking taylor expansion of 1/6 in x 1.724 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.724 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.724 * [taylor]: Taking taylor expansion of 1.0 in x 1.724 * [taylor]: Taking taylor expansion of (cos x) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.728 * [taylor]: Taking taylor expansion of (log E) in x 1.728 * [taylor]: Taking taylor expansion of E in x 1.820 * [approximate]: Taking taylor expansion of (log (pow E (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4))) in (x) around 0 1.820 * [taylor]: Taking taylor expansion of (log (pow E (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4))) in x 1.820 * [taylor]: Taking taylor expansion of (pow E (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4)) in x 1.820 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4) (log E))) in x 1.820 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4) (log E)) in x 1.820 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4) in x 1.820 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/6) in x 1.820 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos (/ 1 x)))))) in x 1.820 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos (/ 1 x))))) in x 1.820 * [taylor]: Taking taylor expansion of 1/6 in x 1.820 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.820 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.821 * [taylor]: Taking taylor expansion of (log E) in x 1.821 * [taylor]: Taking taylor expansion of E in x 1.822 * [taylor]: Taking taylor expansion of (log (pow E (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4))) in x 1.822 * [taylor]: Taking taylor expansion of (pow E (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4)) in x 1.822 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4) (log E))) in x 1.822 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4) (log E)) in x 1.822 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4) in x 1.822 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/6) in x 1.822 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos (/ 1 x)))))) in x 1.822 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos (/ 1 x))))) in x 1.822 * [taylor]: Taking taylor expansion of 1/6 in x 1.822 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.822 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.822 * [taylor]: Taking taylor expansion of 1.0 in x 1.822 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.822 * [taylor]: Taking taylor expansion of (log E) in x 1.822 * [taylor]: Taking taylor expansion of E in x 1.943 * [approximate]: Taking taylor expansion of (log (pow E (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4))) in (x) around 0 1.943 * [taylor]: Taking taylor expansion of (log (pow E (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4))) in x 1.943 * [taylor]: Taking taylor expansion of (pow E (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4)) in x 1.943 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4) (log E))) in x 1.943 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4) (log E)) in x 1.943 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4) in x 1.943 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/6) in x 1.943 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos (/ -1 x)))))) in x 1.943 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos (/ -1 x))))) in x 1.943 * [taylor]: Taking taylor expansion of 1/6 in x 1.943 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.943 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.943 * [taylor]: Taking taylor expansion of 1.0 in x 1.943 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.943 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.943 * [taylor]: Taking taylor expansion of -1 in x 1.943 * [taylor]: Taking taylor expansion of x in x 1.944 * [taylor]: Taking taylor expansion of (log E) in x 1.944 * [taylor]: Taking taylor expansion of E in x 1.944 * [taylor]: Taking taylor expansion of (log (pow E (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4))) in x 1.945 * [taylor]: Taking taylor expansion of (pow E (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4)) in x 1.945 * [taylor]: Taking taylor expansion of (exp (* (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4) (log E))) in x 1.945 * [taylor]: Taking taylor expansion of (* (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4) (log E)) in x 1.945 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4) in x 1.945 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/6) in x 1.945 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos (/ -1 x)))))) in x 1.945 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos (/ -1 x))))) in x 1.945 * [taylor]: Taking taylor expansion of 1/6 in x 1.945 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.945 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.945 * [taylor]: Taking taylor expansion of 1.0 in x 1.945 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.945 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.945 * [taylor]: Taking taylor expansion of -1 in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.945 * [taylor]: Taking taylor expansion of (log E) in x 1.945 * [taylor]: Taking taylor expansion of E in x 2.071 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 2.071 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 1/6) 4) in (x) around 0 2.071 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 1/6) 4) in x 2.071 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/6) in x 2.071 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos x))))) in x 2.071 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos x)))) in x 2.071 * [taylor]: Taking taylor expansion of 1/6 in x 2.071 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.071 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.071 * [taylor]: Taking taylor expansion of 1.0 in x 2.071 * [taylor]: Taking taylor expansion of (cos x) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.075 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 1/6) 4) in x 2.075 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/6) in x 2.075 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos x))))) in x 2.075 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos x)))) in x 2.075 * [taylor]: Taking taylor expansion of 1/6 in x 2.075 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.075 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.075 * [taylor]: Taking taylor expansion of 1.0 in x 2.075 * [taylor]: Taking taylor expansion of (cos x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.127 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4) in (x) around 0 2.127 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4) in x 2.127 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/6) in x 2.127 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos (/ 1 x)))))) in x 2.127 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos (/ 1 x))))) in x 2.127 * [taylor]: Taking taylor expansion of 1/6 in x 2.127 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.127 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.127 * [taylor]: Taking taylor expansion of 1.0 in x 2.127 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.127 * [taylor]: Taking taylor expansion of x in x 2.128 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 1/6) 4) in x 2.128 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/6) in x 2.128 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos (/ 1 x)))))) in x 2.128 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos (/ 1 x))))) in x 2.128 * [taylor]: Taking taylor expansion of 1/6 in x 2.128 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.128 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.128 * [taylor]: Taking taylor expansion of 1.0 in x 2.128 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.128 * [taylor]: Taking taylor expansion of x in x 2.181 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4) in (x) around 0 2.181 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4) in x 2.181 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/6) in x 2.181 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos (/ -1 x)))))) in x 2.181 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos (/ -1 x))))) in x 2.181 * [taylor]: Taking taylor expansion of 1/6 in x 2.181 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.181 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.181 * [taylor]: Taking taylor expansion of 1.0 in x 2.181 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.181 * [taylor]: Taking taylor expansion of -1 in x 2.181 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 1/6) 4) in x 2.182 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/6) in x 2.182 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (cos (/ -1 x)))))) in x 2.182 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (cos (/ -1 x))))) in x 2.182 * [taylor]: Taking taylor expansion of 1/6 in x 2.182 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.182 * [taylor]: Taking taylor expansion of 1.0 in x 2.182 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.182 * [taylor]: Taking taylor expansion of -1 in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.234 * * * [progress]: simplifying candidates 2.236 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (pow (* (cbrt (exp 1)) (cbrt (exp 1))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (log (pow (cbrt (exp 1)) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (log (pow (sqrt (exp 1)) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (log (pow (sqrt (exp 1)) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (log (pow 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (log (* (cbrt (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (cbrt (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))))) (log (cbrt (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (log (sqrt (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (log (sqrt (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (log 1) (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (log (pow (exp 1) (/ (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) 2))) (log (pow (exp 1) (/ (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) 2))) (log (exp 1)) (log (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (exp (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (* (cbrt (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (cbrt (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))))) (cbrt (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (* (* (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (sqrt (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (sqrt (log (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (* (log (sqrt (cbrt (- 1.0 (cos x))))) 4) (* (log (sqrt (cbrt (- 1.0 (cos x))))) 4) (* 1/2 4) (* 1 4) (* (/ 1/3 2) 4) (* (/ 1 2) 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) (* (cbrt 4) (cbrt 4))) (pow (sqrt (cbrt (- 1.0 (cos x)))) (sqrt 4)) (pow (sqrt (cbrt (- 1.0 (cos x)))) 1) (pow (* (cbrt (sqrt (cbrt (- 1.0 (cos x))))) (cbrt (sqrt (cbrt (- 1.0 (cos x)))))) 4) (pow (cbrt (sqrt (cbrt (- 1.0 (cos x))))) 4) (pow (sqrt (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 4) (pow (sqrt (cbrt (cbrt (- 1.0 (cos x))))) 4) (pow (sqrt (cbrt (sqrt (- 1.0 (cos x))))) 4) (pow (sqrt (cbrt (sqrt (- 1.0 (cos x))))) 4) (pow (sqrt (cbrt 1)) 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (pow (sqrt (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) 4) (pow (sqrt (cbrt (- (sqrt 1.0) (sqrt (cos x))))) 4) (pow (sqrt (cbrt 1)) 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (pow (sqrt (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x)))))) 4) (pow (sqrt (cbrt (cbrt (- 1.0 (cos x))))) 4) (pow (sqrt (sqrt (cbrt (- 1.0 (cos x))))) 4) (pow (sqrt (sqrt (cbrt (- 1.0 (cos x))))) 4) (pow (sqrt 1) 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (pow (sqrt (sqrt (cbrt (- 1.0 (cos x))))) 4) (pow (sqrt (sqrt (cbrt (- 1.0 (cos x))))) 4) (pow 1 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (log (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (exp (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (* (cbrt (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (cbrt (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (cbrt (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (* (* (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (/ 4 2) (sqrt (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (sqrt (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (pow (sqrt (cbrt (- 1.0 (cos x)))) (/ 4 2)) (pow (sqrt (cbrt (- 1.0 (cos x)))) (/ 4 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 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (pow (exp (* 1/6 (+ (* 2 (log x)) (log 1/2)))) 4) (* 7/6480 (* (pow (exp (* 1/6 (+ (* 2 (log x)) (log 1/2)))) 4) (pow x 4)))) (* 1/18 (* (pow (exp (* 1/6 (+ (* 2 (log x)) (log 1/2)))) 4) (pow x 2)))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) (- (+ (pow (exp (* 1/6 (+ (* 2 (log x)) (log 1/2)))) 4) (* 7/6480 (* (pow (exp (* 1/6 (+ (* 2 (log x)) (log 1/2)))) 4) (pow x 4)))) (* 1/18 (* (pow (exp (* 1/6 (+ (* 2 (log x)) (log 1/2)))) 4) (pow x 2)))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 2.241 * * [simplify]: iteration 0 : 301 enodes (cost 653 ) 2.247 * * [simplify]: iteration 1 : 992 enodes (cost 541 ) 2.273 * * [simplify]: iteration 2 : 5001 enodes (cost 513 ) 2.277 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 1/2) (pow (- 1.0 (cos x)) 1/2) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 1/2) (pow (- 1.0 (cos x)) 1/2) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* (* 2 (log (cbrt (exp 1)))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (log (pow (cbrt (exp 1)) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (log (pow (sqrt (exp 1)) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) (log (pow (sqrt (exp 1)) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))) 0 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (* 2 (log (cbrt (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4))))) (log (cbrt (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (log (sqrt (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) (log (sqrt (pow (exp 1) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)))) 0 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (/ (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) 2) (/ (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) 2) 1 (log (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (exp (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (pow (sqrt (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 4) (cbrt (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (pow (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) 3) (fabs (cbrt (- 1.0 (cos x)))) (fabs (cbrt (- 1.0 (cos x)))) (log (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (log (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) 2 4 2/3 2 (pow (sqrt (cbrt (- 1.0 (cos x)))) (* (cbrt 4) (cbrt 4))) (cbrt (- 1.0 (cos x))) (sqrt (cbrt (- 1.0 (cos x)))) (pow (cbrt (sqrt (cbrt (- 1.0 (cos x))))) 8) (pow (cbrt (sqrt (cbrt (- 1.0 (cos x))))) 4) (pow (sqrt (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 4) (pow (sqrt (cbrt (cbrt (- 1.0 (cos x))))) 4) (pow (sqrt (cbrt (sqrt (- 1.0 (cos x))))) 4) (pow (sqrt (cbrt (sqrt (- 1.0 (cos x))))) 4) 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (pow (sqrt (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) 4) (pow (sqrt (cbrt (- (sqrt 1.0) (sqrt (cos x))))) 4) 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (pow (fabs (cbrt (cbrt (- 1.0 (cos x))))) 4) (pow (sqrt (cbrt (cbrt (- 1.0 (cos x))))) 4) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (log (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (exp (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (pow (sqrt (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 4) (cbrt (pow (sqrt (cbrt (- 1.0 (cos x)))) 4)) (pow (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) 3) 2 (fabs (cbrt (- 1.0 (cos x)))) (fabs (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (+ (* (- (* 1/18 (pow x 2))) (pow (* (pow 1/2 1/6) (pow x 1/3)) 4)) (* 7/6480 (* (pow (exp (* 1/6 (+ (* 2 (log x)) (log 1/2)))) 4) (pow x 4)))) (pow (* (pow 1/2 1/6) (pow x 1/3)) 4)) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) (+ (+ (* (- (* 1/18 (pow x 2))) (pow (* (pow 1/2 1/6) (pow x 1/3)) 4)) (* 7/6480 (* (pow (exp (* 1/6 (+ (* 2 (log x)) (log 1/2)))) 4) (pow x 4)))) (pow (* (pow 1/2 1/6) (pow x 1/3)) 4)) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 2.277 * * * [progress]: adding candidates to table 2.546 * [progress]: [Phase 3 of 3] Extracting. 2.547 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.548 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 2.548 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # #) 2.587 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 2.635 * * * [regime]: Found split indices: #