7.142 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.060 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.061 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.062 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.063 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.064 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.064 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.065 * * [progress]: iteration 1 / 4 0.065 * * * [progress]: picking best candidate 0.067 * * * * [pick]: Picked # 0.067 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.079 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.083 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.083 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.083 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (cos x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (cos x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.090 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.092 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.092 * [taylor]: Taking taylor expansion of -1 in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.092 * [taylor]: Taking taylor expansion of -1 in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.093 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 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 (- 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 0.094 * [taylor]: Taking taylor expansion of x in x 0.096 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 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 (- 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 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 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 -1 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 -1 in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * * * [progress]: simplifying candidates 0.097 * [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)) 0.101 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.104 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.115 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.153 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.155 * [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)) 0.155 * * * [progress]: adding candidates to table 0.220 * * [progress]: iteration 2 / 4 0.221 * * * [progress]: picking best candidate 0.242 * * * * [pick]: Picked # 0.242 * * * [progress]: localizing error 0.249 * * * [progress]: generating rewritten candidates 0.249 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.253 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.268 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.277 * * * [progress]: generating series expansions 0.277 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.277 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of (cos x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of (cos x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.279 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.280 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (cos x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (cos x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.282 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.284 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.285 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.285 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.285 * [taylor]: Taking taylor expansion of (cos x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (cos x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.289 * [taylor]: Taking taylor expansion of -1 in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * * * [progress]: simplifying candidates 0.292 * [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)) 0.298 * * [simplify]: iteration 0 : 521 enodes (cost 814 ) 0.307 * * [simplify]: iteration 1 : 2334 enodes (cost 726 ) 0.345 * * [simplify]: iteration 2 : 5003 enodes (cost 690 ) 0.349 * [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)) 0.349 * * * [progress]: adding candidates to table 0.466 * * [progress]: iteration 3 / 4 0.466 * * * [progress]: picking best candidate 0.494 * * * * [pick]: Picked # 0.494 * * * [progress]: localizing error 0.503 * * * [progress]: generating rewritten candidates 0.503 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.514 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.518 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.541 * * * [progress]: generating series expansions 0.541 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.541 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 0.541 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.541 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.541 * [taylor]: Taking taylor expansion of (cos x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.541 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.541 * [taylor]: Taking taylor expansion of (cos x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.544 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 0.544 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.544 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) 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 (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.544 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.545 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 0.545 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.545 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.546 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.546 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.546 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.547 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.547 * [taylor]: Taking taylor expansion of (cos x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.547 * [taylor]: Taking taylor expansion of (cos x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 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 0.548 * [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 (* -1 (* x (cos (/ -1 x)))) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.549 * [taylor]: Taking taylor expansion of -1 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 (* x (cos (/ -1 x)))) in x 0.549 * [taylor]: Taking taylor expansion of -1 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 0.550 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.550 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 0.550 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.550 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.550 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.550 * [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 0.556 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 0.556 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.556 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.556 * [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 0.561 * * * [progress]: simplifying candidates 0.563 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 x)) (exp (/ (cos x) x))) (log (- (/ 1.0 x) (/ (cos x) x))) (exp (- (/ 1.0 x) (/ (cos x) x))) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (- (/ 1.0 x) (/ (cos x) x))) (* (* (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x))) (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (- 1.0 (cos x)) (- (* 1.0 x) (* x (cos x))) (* x x) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x)))) (neg (/ (cos x) x)) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (cos x) x) (/ (cos x) x))) (+ (/ 1.0 x) (/ (cos x) x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x))) (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x))) (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 x) (/ (cos x) x)) (- 1.0 (cos x)) (neg (/ (cos x) x)) (- (log (cos x)) (log x)) (log (/ (cos x) x)) (exp (/ (cos x) x)) (/ (* (* (cos x) (cos x)) (cos x)) (* (* x x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (* (* (/ (cos x) x) (/ (cos x) x)) (/ (cos x) x)) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (neg (cos x)) (neg x) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) 1) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) (/ 1 1) (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (/ (cos x) 1) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (cos x)) (* (/ 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))) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (cos x) 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)) 0.569 * * [simplify]: iteration 0 : 478 enodes (cost 762 ) 0.577 * * [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)) (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)) (/ (- 1.0 (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) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (cos x) 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)) 0.620 * * * [progress]: adding candidates to table 0.737 * * [progress]: iteration 4 / 4 0.737 * * * [progress]: picking best candidate 0.764 * * * * [pick]: Picked # 0.764 * * * [progress]: localizing error 0.773 * * * [progress]: generating rewritten candidates 0.773 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.779 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.786 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.803 * * * [progress]: generating series expansions 0.803 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.803 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 0.803 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.803 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.803 * [taylor]: Taking taylor expansion of 1.0 in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.803 * [taylor]: Taking taylor expansion of (cos x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.803 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.804 * [taylor]: Taking taylor expansion of (cos x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.806 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 0.806 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.806 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.806 * [taylor]: Taking taylor expansion of x 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 x in x 0.806 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.806 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.807 * [taylor]: Taking taylor expansion of x 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 x in x 0.808 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 0.808 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.808 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.808 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.808 * [taylor]: Taking taylor expansion of -1 in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.808 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.808 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.808 * [taylor]: Taking taylor expansion of -1 in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.809 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.809 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 0.809 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.809 * [taylor]: Taking taylor expansion of (cos x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.809 * [taylor]: Taking taylor expansion of (cos x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 0.810 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 0.811 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.811 * [taylor]: Taking taylor expansion of -1 in x 0.811 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.811 * [taylor]: Taking taylor expansion of -1 in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.812 * [taylor]: Taking taylor expansion of -1 in x 0.812 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.812 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.812 * [taylor]: Taking taylor expansion of -1 in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.813 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.813 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 0.813 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.813 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.813 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.813 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.813 * [taylor]: Taking taylor expansion of (cos x) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.813 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.813 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.813 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.814 * [taylor]: Taking taylor expansion of (cos x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.816 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 0.816 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.816 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.816 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.817 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.817 * [taylor]: Taking taylor expansion of 1.0 in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.819 * [approximate]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in (x) around 0 0.819 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 0.819 * [taylor]: Taking taylor expansion of -1 in x 0.819 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 0.819 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.819 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.819 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.819 * [taylor]: Taking taylor expansion of -1 in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.819 * [taylor]: Taking taylor expansion of 1.0 in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 0.819 * [taylor]: Taking taylor expansion of -1 in x 0.819 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 0.819 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.819 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.819 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.819 * [taylor]: Taking taylor expansion of -1 in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.819 * [taylor]: Taking taylor expansion of 1.0 in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.822 * * * [progress]: simplifying candidates 0.823 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 x)) (exp (* (cos x) (/ 1 x)))) (log (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (exp (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (cbrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (cbrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (cbrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (* (- (/ 1.0 x) (* (cos x) (/ 1 x))) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (- 1.0 (cos x)) (- 1.0 (* (cos x) 1)) (- (* 1.0 x) (* x (cos x))) (* x x) (- (* 1.0 x) (* x (* (cos x) 1))) (* x x) (- (pow (/ 1.0 x) 3) (pow (* (cos x) (/ 1 x)) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (* (cos x) (/ 1 x)) (* (cos x) (/ 1 x))) (* (/ 1.0 x) (* (cos x) (/ 1 x))))) (neg (* (cos x) (/ 1 x))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (* (cos x) (/ 1 x)) (* (cos x) (/ 1 x)))) (+ (/ 1.0 x) (* (cos x) (/ 1 x))) (- 1.0 (cos x)) (neg (* (cos x) (/ 1 x))) (* (cos x) (/ 1 x)) (+ (log (cos x)) (neg (log x))) (+ (log (cos x)) (- 0 (log x))) (+ (log (cos x)) (- (log 1) (log x))) (+ (log (cos x)) (log (/ 1 x))) (log (* (cos x) (/ 1 x))) (exp (* (cos x) (/ 1 x))) (* (* (* (cos x) (cos x)) (cos x)) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* (cos x) (/ 1 x))) (cbrt (* (cos x) (/ 1 x)))) (cbrt (* (cos x) (/ 1 x))) (* (* (* (cos x) (/ 1 x)) (* (cos x) (/ 1 x))) (* (cos x) (/ 1 x))) (sqrt (* (cos x) (/ 1 x))) (sqrt (* (cos x) (/ 1 x))) (* (sqrt (cos x)) (sqrt (/ 1 x))) (* (sqrt (cos x)) (sqrt (/ 1 x))) (* (sqrt (cos x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (cos x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (cos x)) (/ 1 (sqrt x))) (* (sqrt (cos x)) (/ 1 (sqrt x))) (* (cos x) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (cos x) (sqrt (/ 1 x))) (* (cos x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (cos x) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (cos x) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (cos x) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (cos x) (/ (sqrt 1) (sqrt x))) (* (cos x) (/ (sqrt 1) 1)) (* (cos x) (/ 1 (* (cbrt x) (cbrt x)))) (* (cos x) (/ 1 (sqrt x))) (* (cos x) (/ 1 1)) (* (cos x) 1) (* (cos x) 1) (* (cbrt (cos x)) (/ 1 x)) (* (sqrt (cos x)) (/ 1 x)) (* (cos x) (/ 1 x)) (* (cos x) 1) (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (+ (neg (log x)) (log (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (+ (- 0 (log x)) (log (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (+ (- (log 1) (log x)) (log (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (+ (log (/ 1 x)) (log (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (log (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (exp (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (- (/ 1.0 x) (* (cos x) (/ 1 x))) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (- (/ 1.0 x) (* (cos x) (/ 1 x))) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (cbrt (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x)))))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (* (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (sqrt (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (sqrt (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* 1 (- 1.0 (cos x))) (* x x) (* 1 (- 1.0 (* (cos x) 1))) (* x x) (* 1 (- (* 1.0 x) (* x (cos x)))) (* x (* x x)) (* 1 (- (* 1.0 x) (* x (* (cos x) 1)))) (* x (* x x)) (* 1 (- (pow (/ 1.0 x) 3) (pow (* (cos x) (/ 1 x)) 3))) (* x (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (* (cos x) (/ 1 x)) (* (cos x) (/ 1 x))) (* (/ 1.0 x) (* (cos x) (/ 1 x)))))) (* 1 (- (* (/ 1.0 x) (/ 1.0 x)) (* (* (cos x) (/ 1 x)) (* (cos x) (/ 1 x))))) (* x (+ (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (/ (sqrt 1) (sqrt x)) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (/ (sqrt 1) (sqrt x)) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (/ 1 (sqrt x)) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (/ 1 (sqrt x)) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (/ 1 x) (/ 1.0 x)) (* (/ 1 x) (neg (* (cos x) (/ 1 x)))) (* (/ 1 x) (/ 1.0 x)) (* (/ 1 x) (neg (* (cos x) (/ 1 x)))) (* (/ 1.0 x) (/ 1 x)) (* (neg (* (cos x) (/ 1 x))) (/ 1 x)) (* (/ 1.0 x) (/ 1 x)) (* (neg (* (cos x) (/ 1 x))) (/ 1 x)) (* (/ 1 x) (* (cbrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (cbrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))))) (* (/ 1 x) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (/ 1 x) 1) (* (/ 1 x) (/ 1 x)) (* (cbrt (/ 1 x)) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (sqrt (/ 1 x)) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ (cbrt 1) (cbrt x)) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ (cbrt 1) (sqrt x)) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ (cbrt 1) x) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ (sqrt 1) (cbrt x)) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ (sqrt 1) (sqrt x)) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ (sqrt 1) x) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ 1 (cbrt x)) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ 1 (sqrt x)) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (* (/ 1 x) (- 1.0 (cos x))) (* (/ 1 x) (- 1.0 (* (cos x) 1))) (* (/ 1 x) (- (* 1.0 x) (* x (cos x)))) (* (/ 1 x) (- (* 1.0 x) (* x (* (cos x) 1)))) (* (/ 1 x) (- (pow (/ 1.0 x) 3) (pow (* (cos x) (/ 1 x)) 3))) (* (/ 1 x) (- (* (/ 1.0 x) (/ 1.0 x)) (* (* (cos x) (/ 1 x)) (* (cos x) (/ 1 x))))) (* 1 (- (/ 1.0 x) (* (cos x) (/ 1 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)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (cos x) 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)) 0.830 * * [simplify]: iteration 0 : 486 enodes (cost 805 ) 0.839 * * [simplify]: iteration 1 : 2335 enodes (cost 646 ) 0.878 * * [simplify]: iteration 2 : 5001 enodes (cost 614 ) 0.882 * [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) (/ 1 x)))) (cbrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (cbrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* x (- 1.0 (cos x))) (pow x 2) (* x (- 1.0 (cos x))) (pow x 2) (- (pow (/ 1.0 x) 3) (pow (* (cos x) (/ 1 x)) 3)) (+ (* (* (cos x) (/ 1 x)) (+ (* (cos x) (/ 1 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)) (- 1.0 (cos x)) (/ (neg (cos x)) x) (/ (cos x) x) (- (log (cos x)) (log x)) (- (log (cos x)) (log x)) (- (log (cos x)) (log x)) (- (log (cos x)) (log x)) (- (log (cos x)) (log x)) (exp (* (cos x) (/ 1 x))) (pow (/ (cos x) x) 3) (pow (/ (cos x) x) 3) (* (cbrt (* (cos x) (/ 1 x))) (cbrt (* (cos x) (/ 1 x)))) (cbrt (* (cos x) (/ 1 x))) (pow (/ (cos x) x) 3) (sqrt (* (cos x) (/ 1 x))) (sqrt (* (cos x) (/ 1 x))) (* (sqrt (cos x)) (sqrt (/ 1 x))) (* (sqrt (cos x)) (sqrt (/ 1 x))) (/ (sqrt (cos x)) (pow x 1/2)) (/ (sqrt (cos x)) (pow x 1/2)) (/ (sqrt (cos x)) (pow x 1/2)) (/ (sqrt (cos x)) (pow x 1/2)) (* (cos x) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (cos x) (sqrt (/ 1 x))) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (cos x) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (cos x) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (cos x) (cos x) (cos x) (* (cbrt (cos x)) (/ 1 x)) (* (sqrt (cos x)) (/ 1 x)) (/ (cos x) x) (cos x) (/ (- 1.0 (cos x)) (pow x 2)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (pow (exp (/ 1 x)) (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (* (cbrt (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x)))))) (cbrt (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (sqrt (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (sqrt (* (/ 1 x) (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (- 1.0 (cos x)) (pow x 2) (- 1.0 (cos x)) (pow x 2) (* x (- 1.0 (cos x))) (pow x 3) (* x (- 1.0 (cos x))) (pow x 3) (- (pow (/ 1.0 x) 3) (pow (* (cos x) (/ 1 x)) 3)) (* (+ (* (* (cos x) (/ 1 x)) (+ (* (cos x) (/ 1 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) (/ 1 x)))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (* (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (/ (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (pow x 1/2)) (/ (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (pow x 1/2)) (/ (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (pow x 1/2)) (/ (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (pow x 1/2)) (/ 1.0 (pow x 2)) (neg (/ (cos x) (pow x 2))) (/ 1.0 (pow x 2)) (neg (/ (cos x) (pow x 2))) (/ 1.0 (pow x 2)) (neg (/ (cos x) (pow x 2))) (/ 1.0 (pow x 2)) (neg (/ (cos x) (pow x 2))) (* (/ 1 x) (* (cbrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))) (cbrt (- (/ 1.0 x) (* (cos x) (/ 1 x)))))) (* (/ 1 x) (sqrt (- (/ 1.0 x) (* (cos x) (/ 1 x))))) (/ 1 x) (/ (/ 1 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) (/ (- (* 1.0 x) (* x (cos x))) x) (/ (- (* 1.0 x) (* x (cos x))) x) (/ (- (pow (/ 1.0 x) 3) (pow (* (cos x) (/ 1 x)) 3)) x) (* (+ (/ 1.0 x) (* (cos x) (/ 1 x))) (/ (- 1.0 (cos x)) (pow x 2))) (/ (- 1.0 (cos x)) 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)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (cos x) 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)) 0.883 * * * [progress]: adding candidates to table 0.989 * [progress]: [Phase 3 of 3] Extracting. 0.989 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 0.991 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.991 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.058 * * * [regime]: Found split indices: #