9.241 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.066 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.068 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.069 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.070 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.071 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.072 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.072 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.073 * * [progress]: iteration 1 / 4 0.073 * * * [progress]: picking best candidate 0.075 * * * * [pick]: Picked # 0.075 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.088 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.092 * * * [progress]: generating series expansions 0.092 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.092 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.093 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [taylor]: Taking taylor expansion of (cos x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (cos x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.096 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.096 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.097 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.097 * [taylor]: Taking taylor expansion of -1 in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.097 * [taylor]: Taking taylor expansion of -1 in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.099 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (cos x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (cos x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.101 * [taylor]: Taking taylor expansion of -1 in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.101 * [taylor]: Taking taylor expansion of -1 in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * * * [progress]: simplifying candidates 0.102 * [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)) 0.106 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.109 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.120 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.159 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.161 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (pow x 2)) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.161 * * * [progress]: adding candidates to table 0.228 * * [progress]: iteration 2 / 4 0.228 * * * [progress]: picking best candidate 0.251 * * * * [pick]: Picked # 0.251 * * * [progress]: localizing error 0.258 * * * [progress]: generating rewritten candidates 0.258 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.262 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.275 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.284 * * * [progress]: generating series expansions 0.284 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.284 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of (cos x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of (cos x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.286 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.287 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (cos x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of (cos x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.290 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.290 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.291 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.291 * [taylor]: Taking taylor expansion of 1.0 in x 0.291 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.291 * [taylor]: Taking taylor expansion of 1.0 in x 0.291 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.292 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.292 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.292 * [taylor]: Taking taylor expansion of 1.0 in x 0.292 * [taylor]: Taking taylor expansion of (cos x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.293 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [taylor]: Taking taylor expansion of (cos x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.294 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.294 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.296 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.296 * [taylor]: Taking taylor expansion of -1 in x 0.296 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.296 * [taylor]: Taking taylor expansion of -1 in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.296 * [taylor]: Taking taylor expansion of -1 in x 0.296 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.296 * [taylor]: Taking taylor expansion of -1 in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * * * [progress]: simplifying candidates 0.299 * [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)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (neg (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (neg (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (neg (- 1.0 (cos x))) (neg x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (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 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 0.305 * * [simplify]: iteration 0 : 521 enodes (cost 814 ) 0.314 * * [simplify]: iteration 1 : 2334 enodes (cost 726 ) 0.351 * * [simplify]: iteration 2 : 5003 enodes (cost 690 ) 0.355 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (- 1.0 (cos x)) (pow x 2)) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (- 1.0 (cos x)) (pow x 2) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) x) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (neg (- 1.0 (cos x))) (neg x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (pow x 1/2)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) x) (* x (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (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 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 0.356 * * * [progress]: adding candidates to table 0.470 * * [progress]: iteration 3 / 4 0.470 * * * [progress]: picking best candidate 0.495 * * * * [pick]: Picked # 0.495 * * * [progress]: localizing error 0.503 * * * [progress]: generating rewritten candidates 0.503 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.515 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.535 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.544 * * * [progress]: generating series expansions 0.544 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.544 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 0.544 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.544 * [taylor]: Taking taylor expansion of (cos x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.545 * [taylor]: Taking taylor expansion of (cos x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.547 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.547 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.548 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.549 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.549 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.549 * [taylor]: Taking taylor expansion of x 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 0.549 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.549 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.549 * [taylor]: Taking taylor expansion of x 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 0.549 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.551 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 0.551 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.551 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.551 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.551 * [taylor]: Taking taylor expansion of (cos x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.551 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.551 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.551 * [taylor]: Taking taylor expansion of (cos x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.554 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 0.554 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.554 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.554 * [taylor]: Taking taylor expansion of 1.0 in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.554 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.554 * [taylor]: Taking taylor expansion of 1.0 in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.556 * [approximate]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 0.557 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.557 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 0.557 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.557 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.559 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.560 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 0.560 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.560 * [taylor]: Taking taylor expansion of (cos x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.560 * [taylor]: Taking taylor expansion of (cos x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.561 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 0.561 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 0.561 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.561 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.562 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.562 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.562 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.563 * * * [progress]: simplifying candidates 0.564 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 x)) (exp (/ (cos x) x))) (log (- (/ 1.0 x) (/ (cos x) x))) (exp (- (/ 1.0 x) (/ (cos x) x))) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (- (/ 1.0 x) (/ (cos x) x))) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (- 1.0 (cos x)) (- (* 1.0 x) (* x (cos x))) (* x x) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x)))) (neg (/ (cos x) x)) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x))) (+ (/ 1.0 x) (/ (cos x) x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x)) (- 1.0 (cos x)) (neg (/ (cos x) x)) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (+ (neg (log x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (+ (- 0 (log x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (+ (- (log 1) (log x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (+ (log (/ 1 x)) (log (- (/ 1.0 x) (/ (cos x) x)))) (log (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (exp (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x)))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x)))) (* (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* (* (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (sqrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (sqrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (* 1 (- 1.0 (cos x))) (* x x) (* 1 (- (* 1.0 x) (* x (cos x)))) (* x (* x x)) (* 1 (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3))) (* x (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x))))) (* 1 (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x)))) (* x (+ (/ 1.0 x) (/ (cos x) x))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ (sqrt 1) (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ (sqrt 1) (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 x) (/ 1.0 x)) (* (/ 1 x) (neg (/ (cos x) x))) (* (/ 1 x) (/ 1.0 x)) (* (/ 1 x) (neg (/ (cos x) x))) (* (/ 1.0 x) (/ 1 x)) (* (neg (/ (cos x) x)) (/ 1 x)) (* (/ 1.0 x) (/ 1 x)) (* (neg (/ (cos x) x)) (/ 1 x)) (* (/ 1 x) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x))))) (* (/ 1 x) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ 1 x) 1) (* (/ 1 x) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x)))) (* (/ 1 x) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x)))) (* (/ 1 x) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x)))) (* (/ 1 x) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)))) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (/ 1 x)) (* (cbrt (/ 1 x)) (- (/ 1.0 x) (/ (cos x) x))) (* (sqrt (/ 1 x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (cbrt 1) (cbrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (cbrt 1) (sqrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (cbrt 1) x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (sqrt 1) (cbrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (sqrt 1) (sqrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ (sqrt 1) x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 (cbrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 (sqrt x)) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))) (* (/ 1 x) (- 1.0 (cos x))) (* (/ 1 x) (- (* 1.0 x) (* x (cos x)))) (* (/ 1 x) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3))) (* (/ 1 x) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x)))) (* 1 (- (/ 1.0 x) (/ (cos x) x))) (- (log (cos x)) (log x)) (log (/ (cos x) x)) (exp (/ (cos x) x)) (/ (* (* (cos x) (cos x)) (cos x)) (* (* x x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (* (* (/ (cos x) x) (/ (cos x) x)) (/ (cos x) x)) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (neg (cos x)) (neg x) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) 1) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) (/ 1 1) (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (/ (cos x) 1) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (cos x) x) 0.570 * * [simplify]: iteration 0 : 478 enodes (cost 762 ) 0.579 * * [simplify]: iteration 1 : 2181 enodes (cost 681 ) 0.615 * * [simplify]: iteration 2 : 5001 enodes (cost 665 ) 0.619 * [simplify]: Simplified to: (exp (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (- (/ 1.0 x) (/ (cos x) x))) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (- 1.0 (cos x)) (* x (- 1.0 (cos x))) (pow x 2) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (+ (* (/ (cos x) x) (+ (/ (cos x) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x))) (neg (/ (cos x) x)) (* (+ (/ 1.0 x) (/ (cos x) x)) (/ (- 1.0 (cos x)) x)) (+ (/ 1.0 x) (/ (cos x) x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (- 1.0 (cos x)) (neg (/ (cos x) x)) (/ (- 1.0 (cos x)) (pow x 2)) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (* (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x))))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (sqrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (sqrt (* (/ 1 x) (- (/ 1.0 x) (/ (cos x) x)))) (- 1.0 (cos x)) (pow x 2) (* x (- 1.0 (cos x))) (pow x 3) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (* (+ (* (/ (cos x) x) (+ (/ (cos x) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x))) x) (* (+ (/ 1.0 x) (/ (cos x) x)) (/ (- 1.0 (cos x)) x)) (* x (+ (/ 1.0 x) (/ (cos x) x))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (pow x 1/2)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (pow x 1/2)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (pow x 1/2)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (pow x 1/2)) (/ 1.0 (pow x 2)) (/ (neg (/ (cos x) x)) x) (/ 1.0 (pow x 2)) (/ (neg (/ (cos x) x)) x) (/ 1.0 (pow x 2)) (/ (neg (/ (cos x) x)) x) (/ 1.0 (pow x 2)) (/ (neg (/ (cos x) x)) x) (* (/ 1 x) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x))))) (* (/ 1 x) (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (/ 1 x) (/ (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) x) (/ (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) x) (/ (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) x) (/ (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ 1 x) (/ (/ 1 x) x) (* (/ (- 1.0 (cos x)) x) (cbrt (/ 1 x))) (* (/ (- 1.0 (cos x)) x) (sqrt (/ 1 x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) x) (/ (- (* 1.0 x) (* x (cos x))) x) (/ (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) x) (/ (* (+ (/ 1.0 x) (/ (cos x) x)) (/ (- 1.0 (cos x)) x)) x) (/ (- 1.0 (cos x)) x) (log (/ (cos x) x)) (log (/ (cos x) x)) (exp (/ (cos x) x)) (pow (/ (cos x) x) 3) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (pow (/ (cos x) x) 3) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (neg (cos x)) (neg x) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (/ (cbrt (cos x)) (sqrt x)) (* (cbrt (cos x)) (cbrt (cos x))) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (sqrt (cos x)) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) 1 (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (cos x) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (cos x) x) 0.619 * * * [progress]: adding candidates to table 0.728 * * [progress]: iteration 4 / 4 0.728 * * * [progress]: picking best candidate 0.753 * * * * [pick]: Picked # 0.753 * * * [progress]: localizing error 0.766 * * * [progress]: generating rewritten candidates 0.766 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.770 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 0.773 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.777 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.787 * * * [progress]: generating series expansions 0.788 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.788 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in (x) around 0 0.788 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.788 * [taylor]: Taking taylor expansion of (cos x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.788 * [taylor]: Taking taylor expansion of (cos x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.790 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in (x) around 0 0.790 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.790 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.790 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in (x) around 0 0.791 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.791 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.791 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.792 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 0.792 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 0.792 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.792 * [taylor]: Taking taylor expansion of (cos x) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.793 * [taylor]: Taking taylor expansion of (cos x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of 1.0 in x 0.793 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 0.793 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.793 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of 1.0 in x 0.793 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.793 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of 1.0 in x 0.794 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 0.794 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.794 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.794 * [taylor]: Taking taylor expansion of -1 in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of 1.0 in x 0.794 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.794 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.794 * [taylor]: Taking taylor expansion of -1 in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of 1.0 in x 0.794 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.794 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 0.794 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.794 * [taylor]: Taking taylor expansion of (cos x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.794 * [taylor]: Taking taylor expansion of (cos x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.795 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 0.795 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.795 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.795 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.796 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 0.796 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.796 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.796 * [taylor]: Taking taylor expansion of -1 in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.796 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.796 * [taylor]: Taking taylor expansion of -1 in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.797 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.797 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 2)) (* (+ (cos x) 1.0) x)) in (x) around 0 0.797 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 2)) (* (+ (cos x) 1.0) x)) in x 0.797 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.797 * [taylor]: Taking taylor expansion of (cos x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (* (+ (cos x) 1.0) x) in x 0.797 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.797 * [taylor]: Taking taylor expansion of (cos x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 2)) (* (+ (cos x) 1.0) x)) in x 0.798 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.798 * [taylor]: Taking taylor expansion of (cos x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (* (+ (cos x) 1.0) x) in x 0.798 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.798 * [taylor]: Taking taylor expansion of (cos x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.801 * [approximate]: Taking taylor expansion of (/ (* x (- 1.0 (pow (cos (/ 1 x)) 2))) (+ (cos (/ 1 x)) 1.0)) in (x) around 0 0.801 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow (cos (/ 1 x)) 2))) (+ (cos (/ 1 x)) 1.0)) in x 0.801 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow (cos (/ 1 x)) 2))) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.801 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.801 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow (cos (/ 1 x)) 2))) (+ (cos (/ 1 x)) 1.0)) in x 0.802 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow (cos (/ 1 x)) 2))) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.802 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.802 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [approximate]: Taking taylor expansion of (* -1 (/ (* x (- 1.0 (pow (cos (/ -1 x)) 2))) (+ (cos (/ -1 x)) 1.0))) in (x) around 0 0.806 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (- 1.0 (pow (cos (/ -1 x)) 2))) (+ (cos (/ -1 x)) 1.0))) in x 0.806 * [taylor]: Taking taylor expansion of -1 in x 0.806 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow (cos (/ -1 x)) 2))) (+ (cos (/ -1 x)) 1.0)) in x 0.806 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow (cos (/ -1 x)) 2))) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.806 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.806 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.806 * [taylor]: Taking taylor expansion of -1 in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.806 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.806 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.806 * [taylor]: Taking taylor expansion of -1 in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.807 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (- 1.0 (pow (cos (/ -1 x)) 2))) (+ (cos (/ -1 x)) 1.0))) in x 0.807 * [taylor]: Taking taylor expansion of -1 in x 0.807 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow (cos (/ -1 x)) 2))) (+ (cos (/ -1 x)) 1.0)) in x 0.807 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow (cos (/ -1 x)) 2))) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 0.807 * [taylor]: Taking taylor expansion of 1.0 in x 0.807 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.807 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.807 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.807 * [taylor]: Taking taylor expansion of -1 in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.807 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.807 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.807 * [taylor]: Taking taylor expansion of -1 in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of 1.0 in x 0.812 * * * [progress]: simplifying candidates 0.813 * [simplify]: Simplifying using # : (/ (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))))) (neg (* (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) (neg (* (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)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1.0 (cos x)) (+ 1.0 (cos x)) (* 1/2 (cos (* 2 x))) (+ (cos (+ x x)) (cos (- x x))) (+ 1 1) (* (cos x) (cos x)) (+ 1 1) (+ (log (cos x)) (log (cos x))) (log (* (cos x) (cos x))) (exp (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (* (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cbrt (cos x)) (cbrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 1 1) (* (cos x) (cos x)) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 2 1) (* (cos x) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cos x) (sqrt (cos x))) (* (cos x) 1) (* (cbrt (cos x)) (cos x)) (* (sqrt (cos x)) (cos x)) (* (cos x) (cos x)) (- (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ (log x) (log (+ 1.0 (cos x))))) (- (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (* x (+ 1.0 (cos x))))) (log (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (exp (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (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)))) (* (* (* x x) x) (* (* (+ 1.0 (cos x)) (+ 1.0 (cos x))) (+ 1.0 (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)))) (* (* (* x (+ 1.0 (cos x))) (* x (+ 1.0 (cos x)))) (* x (+ 1.0 (cos x))))) (* (cbrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (cbrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x)))))) (cbrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (* (* (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x)))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (sqrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (sqrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (neg (- (* 1.0 1.0) (* (cos x) (cos x)))) (neg (* x (+ 1.0 (cos x)))) (/ (* 1.0 1.0) (* x (+ 1.0 (cos x)))) (/ (* (cos x) (cos x)) (* x (+ 1.0 (cos x)))) (/ (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) x) (/ (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) x) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (/ 1 x) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x))) (/ (+ 1.0 (cos x)) x) (/ (- 1.0 (cos x)) (+ 1.0 (cos x))) (/ 1 (* x (+ 1.0 (cos x)))) (/ (* x (+ 1.0 (cos x))) (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) x) (/ (* x (+ 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (* x (+ 1.0 (cos x))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (* x (+ 1.0 (cos x))) (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ (* x (+ 1.0 (cos x))) (- 1.0 (cos x))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ (pow 1.0 3) (pow (cos x) 3)))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (* x (+ 1.0 (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)))))) (* (* x (+ 1.0 (cos x))) (+ (* 1.0 1.0) (* (cos x) (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)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 0.5 x) (* 0.0013888888888888944 (pow x 5))) (* 0.04166666666666666 (pow x 3))) (/ (- 1.0 (pow (cos x) 2)) (* (+ 1.0 (cos x)) x)) (/ (- 1.0 (pow (cos x) 2)) (* (+ 1.0 (cos x)) x)) 0.818 * * [simplify]: iteration 0 : 425 enodes (cost 655 ) 0.826 * * [simplify]: iteration 1 : 2057 enodes (cost 564 ) 0.860 * * [simplify]: iteration 2 : 5001 enodes (cost 548 ) 0.863 * [simplify]: Simplified to: (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)) (neg (pow (cos x) 2)) (+ (* (neg (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) (neg (pow (cos x) 2)) (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 (cos (* 2 x))) (+ (cos (+ x x)) (cos (- x x))) 2 (pow (cos x) 2) 2 (* 2 (log (cos x))) (* 2 (log (cos x))) (exp (pow (cos x) 2)) (pow (cos x) 6) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (pow (cbrt (cos x)) 4) (* (cbrt (cos x)) (cbrt (cos x))) (cos x) (cos x) 1 (pow (cos x) 2) (cos x) (cos x) 2 (* (cos x) (* (cbrt (cos x)) (cbrt (cos x)))) (pow (sqrt (cos x)) 3) (cos x) (pow (cbrt (cos x)) 4) (pow (sqrt (cos x)) 3) (pow (cos x) 2) (log (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (log (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (log (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (exp (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (pow (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x)))) 3) (pow (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x)))) 3) (* (cbrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (cbrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x)))))) (cbrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (pow (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x)))) 3) (sqrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (sqrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ 1.0 (cos x))))) (neg (- (* 1.0 1.0) (* (cos x) (cos x)))) (neg (* x (+ 1.0 (cos x)))) (/ (* 1.0 1.0) (* x (+ 1.0 (cos x)))) (/ (/ (pow (cos x) 2) x) (+ 1.0 (cos x))) (/ (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) x) (/ (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) x) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (/ 1 x) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x))) (/ (+ 1.0 (cos x)) x) (/ (- 1.0 (cos x)) (+ 1.0 (cos x))) (/ 1 (* x (+ 1.0 (cos x)))) (/ (* x (+ 1.0 (cos x))) (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ (- (* 1.0 1.0) (pow (cos x) 2)) x) (/ (* x (+ 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (* x (+ 1.0 (cos x))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (* x (+ 1.0 (cos x))) (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ (* x (+ 1.0 (cos x))) (- 1.0 (cos x))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* x (+ (pow 1.0 3) (pow (cos x) 3)))) (/ 1 x) (* (* (+ (+ (pow 1.0 4) (* 1.0 (* 1.0 (pow (cos x) 2)))) (pow (cos x) 4)) x) (+ 1.0 (cos x))) (* (+ (pow (cos x) 2) (* 1.0 1.0)) (* 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)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (- (+ (* 0.5 x) (* 0.0013888888888888944 (pow x 5))) (* 0.04166666666666666 (pow x 3))) (/ (- 1.0 (pow (cos x) 2)) (* (+ 1.0 (cos x)) x)) (/ (- 1.0 (pow (cos x) 2)) (* (+ 1.0 (cos x)) x)) 0.863 * * * [progress]: adding candidates to table 0.966 * [progress]: [Phase 3 of 3] Extracting. 0.966 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 0.967 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.967 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 1.027 * * * [regime]: Found split indices: #