11.182 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.094 * * * [progress]: [2/2] Setting up program. 0.107 * [progress]: [Phase 2 of 3] Improving. 0.108 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.143 * * [simplify]: iteration 0 : 500 enodes (cost 8 ) 0.143 * * [simplify]: iteration 1 : 500 enodes (cost 8 ) 0.144 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.144 * * [progress]: iteration 1 / 4 0.144 * * * [progress]: picking best candidate 0.148 * * * * [pick]: Picked # 0.148 * * * [progress]: localizing error 0.159 * * * [progress]: generating rewritten candidates 0.159 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.171 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.178 * * * [progress]: generating series expansions 0.178 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.178 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (cos x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [taylor]: Taking taylor expansion of (cos x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.183 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.185 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.188 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.188 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (cos x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (cos x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.191 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.192 * [taylor]: Taking taylor expansion of -1 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.192 * [taylor]: Taking taylor expansion of -1 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * * * [progress]: simplifying candidates 0.194 * [simplify]: Simplifying using # : (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.269 * * [simplify]: iteration 0 : 4894 enodes (cost 440 ) 0.269 * * [simplify]: iteration 1 : 4894 enodes (cost 440 ) 0.273 * [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)) 3) (pow x 6)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (* (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)) 3) (pow x 6)) (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))) (/ (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) (+ 1.0 (cos x)))))) (* 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)) (+ (* 1.0 1.0) (* (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)) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (* x (* x 1/2)) (+ (* (pow x 6) 1/720) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.273 * * * [progress]: adding candidates to table 0.392 * * [progress]: iteration 2 / 4 0.392 * * * [progress]: picking best candidate 0.443 * * * * [pick]: Picked # 0.443 * * * [progress]: localizing error 0.457 * * * [progress]: generating rewritten candidates 0.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.461 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.464 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.475 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.495 * * * [progress]: generating series expansions 0.495 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.495 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (cos x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (cos x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.498 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.500 * [taylor]: Taking taylor expansion of -1 in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.500 * [taylor]: Taking taylor expansion of -1 in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.501 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (cos x) in x 0.501 * [taylor]: Taking taylor expansion of 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 0.501 * [taylor]: Taking taylor expansion of (cos x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.504 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.505 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.505 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.506 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (cos x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (cos x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.512 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.516 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.516 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.517 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.517 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.517 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.522 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.522 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.522 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (cos x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.523 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.523 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [taylor]: Taking taylor expansion of (cos x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.528 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.528 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.528 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.529 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.533 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.533 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.533 * [taylor]: Taking taylor expansion of -1 in x 0.533 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.533 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.533 * [taylor]: Taking taylor expansion of -1 in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.533 * [taylor]: Taking taylor expansion of -1 in x 0.533 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.533 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.534 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.534 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.534 * [taylor]: Taking taylor expansion of -1 in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.538 * * * [progress]: simplifying candidates 0.541 * [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)) (/ (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 (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)) (neg (sqrt (- 1.0 (cos x)))) (neg 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)) (neg (sqrt (- 1.0 (cos x)))) (neg 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 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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)) 0.606 * * [simplify]: iteration 0 : 4980 enodes (cost 1530 ) 0.607 * * [simplify]: iteration 1 : 4980 enodes (cost 1530 ) 0.619 * [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)) (+ (* 1.0 1.0) (* (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)) 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(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) (+ 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (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)) (neg (sqrt (- 1.0 (cos x)))) (neg 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)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (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 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) (/ (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)))) (/ (sqrt (- (sqrt 1.0) (sqrt (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) (/ (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) (+ 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (sqrt 1/2) (+ (* (/ (pow x 4) (sqrt 1/2)) 1/3840) (* (* (/ x (sqrt 1/2)) x) -1/48))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (+ (sqrt 1/2) (+ (* (/ (pow x 4) (sqrt 1/2)) 1/3840) (* (* (/ x (sqrt 1/2)) x) -1/48))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 0.620 * * * [progress]: adding candidates to table 0.985 * * [progress]: iteration 3 / 4 0.985 * * * [progress]: picking best candidate 1.043 * * * * [pick]: Picked # 1.043 * * * [progress]: localizing error 1.068 * * * [progress]: generating rewritten candidates 1.068 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.077 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.085 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.092 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.117 * * * [progress]: generating series expansions 1.117 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.117 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.117 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [taylor]: Taking taylor expansion of (cos x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (cos x) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.121 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.121 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.122 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.122 * [taylor]: Taking taylor expansion of -1 in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.122 * [taylor]: Taking taylor expansion of -1 in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.123 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.123 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.123 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (cos x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (cos x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.126 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.127 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.127 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.127 * [taylor]: Taking taylor expansion of -1 in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.127 * [taylor]: Taking taylor expansion of -1 in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.128 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.128 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.128 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * [taylor]: Taking taylor expansion of (cos x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * [taylor]: Taking taylor expansion of (cos x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.131 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.131 * [taylor]: Taking taylor expansion of 1.0 in x 1.131 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.132 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.132 * [taylor]: Taking taylor expansion of -1 in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.133 * [taylor]: Taking taylor expansion of -1 in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.134 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 1.134 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (cos x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (cos x) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.140 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.140 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.144 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 1.144 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.144 * [taylor]: Taking taylor expansion of -1 in x 1.144 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.144 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.145 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.150 * * * [progress]: simplifying candidates 1.153 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (neg (cos x)))) (log (exp 1.0)) (log (exp (neg (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 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)) (/ (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 (sqrt (log (exp (- 1.0 (cos x)))))) (log x)) (log (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (exp (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (/ (* (* (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt (log (exp (- 1.0 (cos x)))))) (* (* x x) x)) (* (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (* (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (neg (sqrt (log (exp (- 1.0 (cos x)))))) (neg x) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) 1) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) 1) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp 1))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp 1))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (log (exp 1))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (cbrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp 1))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp 1))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (log (exp 1))) x) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) 1) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) 1) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) 1) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ 1 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ 1 x) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) 1) (/ x (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ x (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))))) (/ x (sqrt (log (exp (sqrt (- 1.0 (cos x))))))) (/ x (sqrt (log (exp 1)))) (/ x (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x))))))) (/ x (sqrt (log (exp 1)))) (/ x (sqrt (cbrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ x (sqrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 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)) (- (+ (* 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)) 1.221 * * [simplify]: iteration 0 : 5310 enodes (cost 1206 ) 1.231 * [simplify]: Simplified to: 1.0 (neg (cos x)) 1.0 (neg (cos x)) (* (log (cbrt (exp (- 1.0 (cos x))))) 2) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 (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))) (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)) (+ (* 1.0 1.0) (* (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)) (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)) (+ (* 1.0 1.0) (* (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 (/ (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)) (neg (sqrt (- 1.0 (cos x)))) (neg 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) (/ 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) (/ (sqrt (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (fabs (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (cbrt (- 1.0 (cos x)))) (/ (fabs (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)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x)) (sqrt (- 1.0 (cos x))) (/ 1 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)))) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x)) (sqrt (- 1.0 (cos x))) (/ 1 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)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (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 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) (/ (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 (- 1.0 (cos x)))) (/ x (fabs (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) x (/ x (sqrt (+ (sqrt 1.0) (sqrt (cos x))))) 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 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (sqrt 1/2) (+ (* (/ (pow x 4) (sqrt 1/2)) 1/3840) (* (* (/ x (sqrt 1/2)) x) -1/48))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 1.232 * * * [progress]: adding candidates to table 1.571 * * [progress]: iteration 4 / 4 1.571 * * * [progress]: picking best candidate 1.647 * * * * [pick]: Picked # 1.647 * * * [progress]: localizing error 1.680 * * * [progress]: generating rewritten candidates 1.680 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.689 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 1.696 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1) 1.704 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.713 * * * [progress]: generating series expansions 1.713 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 1.713 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.713 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [taylor]: Taking taylor expansion of (cos x) in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.713 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [taylor]: Taking taylor expansion of (cos x) in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.716 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.716 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.718 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.718 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.718 * [taylor]: Taking taylor expansion of 1.0 in x 1.718 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.718 * [taylor]: Taking taylor expansion of -1 in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.718 * [taylor]: Taking taylor expansion of 1.0 in x 1.718 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.718 * [taylor]: Taking taylor expansion of -1 in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.719 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 1.719 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.719 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of (cos x) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of (cos x) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.722 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.722 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.722 * [taylor]: Taking taylor expansion of 1.0 in x 1.722 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.722 * [taylor]: Taking taylor expansion of 1.0 in x 1.722 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.723 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.723 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.723 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.723 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.723 * [taylor]: Taking taylor expansion of -1 in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.723 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.723 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.723 * [taylor]: Taking taylor expansion of -1 in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.724 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1) 1.724 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 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 1.724 * [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 1.727 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.727 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.727 * [taylor]: Taking taylor expansion of 1.0 in x 1.727 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.727 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.727 * [taylor]: Taking taylor expansion of 1.0 in x 1.727 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.728 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.728 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.728 * [taylor]: Taking taylor expansion of 1.0 in x 1.728 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.728 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.728 * [taylor]: Taking taylor expansion of -1 in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.728 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.728 * [taylor]: Taking taylor expansion of 1.0 in x 1.728 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.728 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.728 * [taylor]: Taking taylor expansion of -1 in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.728 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.729 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.729 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.729 * [taylor]: Taking taylor expansion of 1.0 in x 1.729 * [taylor]: Taking taylor expansion of (cos x) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.729 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.729 * [taylor]: Taking taylor expansion of 1.0 in x 1.729 * [taylor]: Taking taylor expansion of (cos x) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.731 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.731 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.731 * [taylor]: Taking taylor expansion of 1.0 in x 1.731 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.732 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.732 * [taylor]: Taking taylor expansion of 1.0 in x 1.732 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.732 * [taylor]: Taking taylor expansion of x in x 1.732 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.732 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.732 * [taylor]: Taking taylor expansion of 1.0 in x 1.732 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.732 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.732 * [taylor]: Taking taylor expansion of -1 in x 1.732 * [taylor]: Taking taylor expansion of x in x 1.732 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.732 * [taylor]: Taking taylor expansion of 1.0 in x 1.733 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.733 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.733 * [taylor]: Taking taylor expansion of -1 in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.733 * * * [progress]: simplifying candidates 1.735 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (neg (cos x)))) (log (exp 1.0)) (log (exp (neg (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 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)) (/ (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)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/2 (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)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.799 * * [simplify]: iteration 0 : 4903 enodes (cost 520 ) 1.799 * * [simplify]: iteration 1 : 4903 enodes (cost 520 ) 1.804 * [simplify]: Simplified to: 1.0 (neg (cos x)) 1.0 (neg (cos x)) (* (log (cbrt (exp (- 1.0 (cos x))))) 2) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 (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))) (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)) (+ (* 1.0 1.0) (* (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)) (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)) (+ (* 1.0 1.0) (* (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)) (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)) (+ (* 1.0 1.0) (* (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 (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.805 * * * [progress]: adding candidates to table 2.068 * [progress]: [Phase 3 of 3] Extracting. 2.069 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 2.073 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.073 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 2.226 * * * [regime]: Found split indices: #