22.549 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.089 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.092 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.096 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.098 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.100 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.101 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.103 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.103 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.104 * * [progress]: iteration 1 / 4 0.104 * * * [progress]: picking best candidate 0.106 * * * * [pick]: Picked # 0.106 * * * [progress]: localizing error 0.118 * * * [progress]: generating rewritten candidates 0.118 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.130 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.139 * * * [progress]: generating series expansions 0.139 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.139 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.139 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (cos x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (cos x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.170 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.170 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.191 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.191 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 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 -1 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 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 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.217 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.217 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (cos x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.218 * [taylor]: Taking taylor expansion of (cos x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.234 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.234 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.238 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.238 * [taylor]: Taking taylor expansion of -1 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.239 * [taylor]: Taking taylor expansion of -1 in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.242 * * * [progress]: simplifying candidates 0.243 * [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)) 0.246 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.250 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.260 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.300 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.301 * [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)) 0.302 * * * [progress]: adding candidates to table 0.388 * * [progress]: iteration 2 / 4 0.389 * * * [progress]: picking best candidate 0.407 * * * * [pick]: Picked # 0.407 * * * [progress]: localizing error 0.414 * * * [progress]: generating rewritten candidates 0.414 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.418 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.422 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.428 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.438 * * * [progress]: generating series expansions 0.439 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.439 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (cos x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (cos x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.449 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.453 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.453 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.453 * [taylor]: Taking taylor expansion of -1 in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.453 * [taylor]: Taking taylor expansion of -1 in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.457 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.457 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.457 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.457 * [taylor]: Taking taylor expansion of 1.0 in x 0.457 * [taylor]: Taking taylor expansion of (cos x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.457 * [taylor]: Taking taylor expansion of 1.0 in x 0.457 * [taylor]: Taking taylor expansion of (cos x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.470 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.471 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 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 (- 1.0 (cos (/ -1 x))) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.475 * [taylor]: Taking taylor expansion of -1 in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.478 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.478 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.478 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (cos x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (cos x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [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 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [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 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.549 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.549 * [taylor]: Taking taylor expansion of -1 in x 0.549 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) 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 -1 in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.550 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.569 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.569 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.569 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.569 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.569 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (cos x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.573 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (cos x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.620 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.620 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.641 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.641 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.641 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.641 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.642 * [taylor]: Taking taylor expansion of -1 in x 0.642 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.642 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.642 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.642 * [taylor]: Taking taylor expansion of -1 in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.661 * * * [progress]: simplifying candidates 0.663 * [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)) 0.669 * * [simplify]: iteration 0 : 242 enodes (cost 1020 ) 0.673 * * [simplify]: iteration 1 : 706 enodes (cost 972 ) 0.686 * * [simplify]: iteration 2 : 2968 enodes (cost 960 ) 0.757 * * [simplify]: iteration 3 : 5002 enodes (cost 960 ) 0.761 * [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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(/ (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)))) (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 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)))) (pow x 1/2)) (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) (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) 0.762 * * * [progress]: adding candidates to table 1.041 * * [progress]: iteration 3 / 4 1.041 * * * [progress]: picking best candidate 1.060 * * * * [pick]: Picked # 1.060 * * * [progress]: localizing error 1.070 * * * [progress]: generating rewritten candidates 1.070 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.074 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.077 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.088 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.103 * * * [progress]: generating series expansions 1.103 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.103 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (cos x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (cos x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.114 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.114 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.114 * [taylor]: Taking taylor expansion of 1.0 in x 1.114 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.114 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.118 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.118 * [taylor]: Taking taylor expansion of -1 in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.118 * [taylor]: Taking taylor expansion of -1 in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.122 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.122 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (cos x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (cos x) in x 1.122 * [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 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 x in x 1.136 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.136 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.136 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.136 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.136 * [taylor]: Taking taylor expansion of -1 in x 1.136 * [taylor]: Taking taylor expansion of x 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 -1 in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.140 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.140 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 1.140 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * [taylor]: Taking taylor expansion of (cos x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (cos x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.197 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.197 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.197 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.198 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.198 * [taylor]: Taking taylor expansion of 1.0 in x 1.198 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.213 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 1.213 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.213 * [taylor]: Taking taylor expansion of -1 in x 1.213 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.213 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.213 * [taylor]: Taking taylor expansion of -1 in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.214 * [taylor]: Taking taylor expansion of -1 in x 1.214 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.214 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.214 * [taylor]: Taking taylor expansion of 1.0 in x 1.214 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.214 * [taylor]: Taking taylor expansion of -1 in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.232 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.232 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 1.232 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.233 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.233 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.233 * [taylor]: Taking taylor expansion of (cos x) in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.237 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.237 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [taylor]: Taking taylor expansion of (cos x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.288 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.288 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.288 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.289 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.289 * [taylor]: Taking taylor expansion of 1.0 in x 1.289 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.304 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 1.304 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.304 * [taylor]: Taking taylor expansion of -1 in x 1.304 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.304 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.304 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.304 * [taylor]: Taking taylor expansion of -1 in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.305 * [taylor]: Taking taylor expansion of -1 in x 1.305 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.305 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.305 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.305 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.305 * [taylor]: Taking taylor expansion of -1 in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.324 * * * [progress]: simplifying candidates 1.326 * [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)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (+ (log (sqrt (- 1.0 (cos x)))) (- (log x))) (+ (log (sqrt (- 1.0 (cos x)))) (- 0 (log x))) (+ (log (sqrt (- 1.0 (cos x)))) (- (log 1) (log x))) (+ (log (sqrt (- 1.0 (cos x)))) (log (/ 1 x))) (log (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (exp (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (* (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (cbrt (* (sqrt (- 1.0 (cos x))) (/ 1 x)))) (cbrt (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (* (* (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (sqrt (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (sqrt (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (* (sqrt (- (pow 1.0 3) (pow (cos x) 3))) 1) (* (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) x) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) 1) (* (sqrt (+ 1.0 (cos x))) x) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt 1) (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt 1) (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ 1 (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ 1 (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt 1) (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt 1) (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ 1 (sqrt x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ 1 (sqrt x))) (* (sqrt (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 x))) (* (sqrt (- 1.0 (cos x))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (sqrt (- 1.0 (cos x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (sqrt (- 1.0 (cos x))) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) (sqrt x))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt 1) 1)) (* (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt x) (cbrt x)))) (* (sqrt (- 1.0 (cos x))) (/ 1 (sqrt x))) (* (sqrt (- 1.0 (cos x))) (/ 1 1)) (* (sqrt (- 1.0 (cos x))) 1) (* (sqrt (- 1.0 (cos x))) 1) (* (cbrt (sqrt (- 1.0 (cos x)))) (/ 1 x)) (* (sqrt (cbrt (- 1.0 (cos x)))) (/ 1 x)) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (sqrt (- 1.0 (cos x)))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) 1) (* (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (/ 1 x)) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ 1 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)) 1.332 * * [simplify]: iteration 0 : 398 enodes (cost 957 ) 1.339 * * [simplify]: iteration 1 : 1459 enodes (cost 883 ) 1.364 * * [simplify]: iteration 2 : 5001 enodes (cost 871 ) 1.368 * [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)) (/ (sqrt (- 1.0 (cos x))) x) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) 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) (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 (- (pow 1.0 3) (pow (cos x) 3))) (* (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) x) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (sqrt (+ 1.0 (cos x))) x) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ 1 x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ 1 x))) (* (sqrt (sqrt (- 1.0 (cos x)))) (sqrt (/ 1 x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (* (sqrt (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt 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))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos 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 (cos x))) (/ (sqrt (- (pow 1.0 3) (pow (cos x) 3))) x) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) 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 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)))) (pow x 1/2)) (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)))) (* (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) x) (* (sqrt (+ 1.0 (cos x))) x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 1.369 * * * [progress]: adding candidates to table 1.644 * * [progress]: iteration 4 / 4 1.644 * * * [progress]: picking best candidate 1.664 * * * * [pick]: Picked # 1.664 * * * [progress]: localizing error 1.682 * * * [progress]: generating rewritten candidates 1.682 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.689 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.693 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.700 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 1.705 * * * [progress]: generating series expansions 1.705 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.705 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.705 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of (cos x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of (cos x) in x 1.705 * [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 1.716 * [taylor]: Taking taylor expansion of 1.0 in x 1.716 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.716 * [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 1.720 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.720 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.720 * [taylor]: Taking taylor expansion of 1.0 in x 1.720 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.720 * [taylor]: Taking taylor expansion of -1 in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.721 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.721 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.721 * [taylor]: Taking taylor expansion of -1 in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.724 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.724 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in (x) around 0 1.724 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 1.724 * [taylor]: Taking taylor expansion of 1.0 in x 1.724 * [taylor]: Taking taylor expansion of (pow (cos x) 2) 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 (pow (cos x) 2)) in x 1.724 * [taylor]: Taking taylor expansion of 1.0 in x 1.725 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.725 * [taylor]: Taking taylor expansion of (cos x) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.740 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in (x) around 0 1.740 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.740 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.740 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.748 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in (x) around 0 1.748 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 1.748 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.748 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.749 * [taylor]: Taking taylor expansion of -1 in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.749 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.749 * [taylor]: Taking taylor expansion of -1 in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.757 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.757 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (cos x) 1.0))) in (x) around 0 1.757 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (cos x) 1.0))) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (sqrt (+ (cos x) 1.0)) in x 1.757 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.757 * [taylor]: Taking taylor expansion of (cos x) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of 1.0 in x 1.758 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (cos x) 1.0))) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.758 * [taylor]: Taking taylor expansion of (sqrt (+ (cos x) 1.0)) in x 1.758 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.759 * [taylor]: Taking taylor expansion of (cos x) in x 1.759 * [taylor]: Taking taylor expansion of x in x 1.759 * [taylor]: Taking taylor expansion of 1.0 in x 1.807 * [approximate]: Taking taylor expansion of (* (sqrt (+ (cos (/ 1 x)) 1.0)) (/ 1 x)) in (x) around 0 1.807 * [taylor]: Taking taylor expansion of (* (sqrt (+ (cos (/ 1 x)) 1.0)) (/ 1 x)) in x 1.807 * [taylor]: Taking taylor expansion of (sqrt (+ (cos (/ 1 x)) 1.0)) in x 1.807 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.807 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.807 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [taylor]: Taking taylor expansion of 1.0 in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of (* (sqrt (+ (cos (/ 1 x)) 1.0)) (/ 1 x)) in x 1.809 * [taylor]: Taking taylor expansion of (sqrt (+ (cos (/ 1 x)) 1.0)) in x 1.809 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.809 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [taylor]: Taking taylor expansion of 1.0 in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.820 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (+ (cos (/ -1 x)) 1.0)))) in (x) around 0 1.820 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (+ (cos (/ -1 x)) 1.0)))) in x 1.820 * [taylor]: Taking taylor expansion of -1 in x 1.820 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (cos (/ -1 x)) 1.0))) 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 (sqrt (+ (cos (/ -1 x)) 1.0)) in x 1.821 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.821 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.821 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.821 * [taylor]: Taking taylor expansion of -1 in x 1.821 * [taylor]: Taking taylor expansion of x in x 1.821 * [taylor]: Taking taylor expansion of 1.0 in x 1.821 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (+ (cos (/ -1 x)) 1.0)))) in x 1.822 * [taylor]: Taking taylor expansion of -1 in x 1.822 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (cos (/ -1 x)) 1.0))) 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 (sqrt (+ (cos (/ -1 x)) 1.0)) in x 1.822 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 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 -1 in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.822 * [taylor]: Taking taylor expansion of 1.0 in x 1.841 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 1.841 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 1.841 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.841 * [taylor]: Taking taylor expansion of (cos x) in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of 1.0 in x 1.841 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.841 * [taylor]: Taking taylor expansion of (cos x) in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of 1.0 in x 1.845 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.845 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.845 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.846 * [taylor]: Taking taylor expansion of 1.0 in x 1.846 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.846 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.846 * [taylor]: Taking taylor expansion of x in x 1.846 * [taylor]: Taking taylor expansion of 1.0 in x 1.848 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.848 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.848 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.848 * [taylor]: Taking taylor expansion of -1 in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of 1.0 in x 1.848 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.848 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.848 * [taylor]: Taking taylor expansion of -1 in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.849 * [taylor]: Taking taylor expansion of 1.0 in x 1.850 * * * [progress]: simplifying candidates 1.851 * [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 1.0)) (exp (* (cos x) (cos x)))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (exp (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (* (- (* 1.0 1.0) (* (cos x) (cos x))) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (pow (* 1.0 1.0) 3) (pow (* (cos x) (cos x)) 3)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* 1.0 1.0) (* (cos x) (cos x))))) (- (* (cos x) (cos x))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (cos x) (cos x)) (* (cos x) (cos x)))) (+ (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- 1.0 (cos x)) (- (* 1.0 1.0) 1/2) (- (* (cos x) (cos x))) (* (sqrt (+ 1.0 (cos x))) 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 (sqrt (+ 1.0 (cos x)))) (sqrt x)) (* (sqrt (sqrt (+ 1.0 (cos x)))) (sqrt x)) (* (sqrt (sqrt (+ 1.0 (cos x)))) (sqrt x)) (* (sqrt (sqrt (+ 1.0 (cos x)))) (sqrt x)) (* (sqrt (+ 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (sqrt (+ 1.0 (cos x))) (sqrt x)) (* (sqrt (+ 1.0 (cos x))) 1) (* (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 (+ 1.0 (cos x))) x) (* (sqrt (sqrt (+ 1.0 (cos x)))) x) (* (sqrt (+ 1.0 (cos x))) x) (* (sqrt (+ (pow 1.0 3) (pow (cos x) 3))) x) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) 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)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- 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 x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (- 1.0 (pow (cos x) 2)) (- 1.0 (pow (cos x) 2)) (- (+ (* 1/48 (/ (pow x 5) (sqrt 2.0))) (* (sqrt 2.0) x)) (+ (* 1/4 (/ (pow x 3) (sqrt 2.0))) (* 1/32 (/ (pow x 5) (pow (sqrt 2.0) 3))))) (* x (sqrt (+ 1.0 (cos x)))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) 1.856 * * [simplify]: iteration 0 : 320 enodes (cost 431 ) 1.861 * * [simplify]: iteration 1 : 1094 enodes (cost 396 ) 1.882 * * [simplify]: iteration 2 : 4300 enodes (cost 396 ) 1.967 * * [simplify]: iteration 3 : 5002 enodes (cost 396 ) 1.969 * [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) (pow (cos x) 2)) (+ 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 1.0) (pow (cos x) 2))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (exp (- (* 1.0 1.0) (pow (cos x) 2))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (pow (- (* 1.0 1.0) (* (cos x) (cos x))) 3) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (pow (* 1.0 1.0) 3) (pow (* (cos x) (cos x)) 3)) (+ (+ (pow 1.0 4) (* 1.0 (* 1.0 (pow (cos x) 2)))) (pow (cos x) 4)) (- (pow (cos x) 2)) (+ (* (- (pow (cos x) 3)) (cos x)) (pow 1.0 4)) (+ (pow (cos x) 2) (* 1.0 1.0)) (+ 1.0 (cos x)) (- 1.0 (cos x)) (- (* 1.0 1.0) 1/2) (- (pow (cos x) 2)) (* (sqrt (+ 1.0 (cos x))) 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 (sqrt (+ 1.0 (cos x)))) (sqrt x)) (* (sqrt (sqrt (+ 1.0 (cos x)))) (sqrt x)) (* (sqrt (sqrt (+ 1.0 (cos x)))) (sqrt x)) (* (sqrt (sqrt (+ 1.0 (cos x)))) (sqrt x)) (* (sqrt (+ 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (sqrt (+ 1.0 (cos x))) (sqrt x)) (sqrt (+ 1.0 (cos 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 (+ 1.0 (cos x))) x) (* (sqrt (sqrt (+ 1.0 (cos x)))) x) (* (sqrt (+ 1.0 (cos x))) x) (* (sqrt (+ (pow 1.0 3) (pow (cos x) 3))) x) (* (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) 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)) (- (* 1.0 1.0) (pow (cos x) 2)) (- 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 x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (- 1.0 (pow (cos x) 2)) (- 1.0 (pow (cos x) 2)) (- (+ (* 1/48 (/ (pow x 5) (sqrt 2.0))) (* (sqrt 2.0) x)) (+ (* 1/4 (/ (pow x 3) (sqrt 2.0))) (* 1/32 (/ (pow x 5) (pow (sqrt 2.0) 3))))) (* (sqrt (+ 1.0 (cos x))) x) (* (sqrt (+ 1.0 (cos x))) x) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) 1.969 * * * [progress]: adding candidates to table 2.196 * [progress]: [Phase 3 of 3] Extracting. 2.196 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.198 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 2.198 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # #) 2.241 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 2.288 * * * [regime]: Found split indices: #