6.458 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.059 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.060 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.061 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.062 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.063 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.063 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.063 * * [progress]: iteration 1 / 4 0.063 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.078 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.082 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.082 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (cos x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [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 0.091 * [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 0.091 * [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) 0.094 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 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 (- 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 0.095 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [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 0.096 * * * [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)) 0.100 * * [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 ) 0.155 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.156 * [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)) 0.157 * * * [progress]: adding candidates to table 0.227 * * [progress]: iteration 2 / 4 0.227 * * * [progress]: picking best candidate 0.259 * * * * [pick]: Picked # 0.259 * * * [progress]: localizing error 0.268 * * * [progress]: generating rewritten candidates 0.268 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.271 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.277 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.295 * * * [progress]: generating series expansions 0.295 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.295 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of (cos x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of (cos x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.297 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.297 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.297 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.297 * [taylor]: Taking taylor expansion of -1 in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.297 * [taylor]: Taking taylor expansion of -1 in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.298 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (cos x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (cos x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.300 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.300 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.301 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.301 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.301 * [taylor]: Taking taylor expansion of -1 in x 0.301 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.301 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.301 * [taylor]: Taking taylor expansion of -1 in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.302 * [taylor]: Taking taylor expansion of -1 in x 0.302 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.302 * [taylor]: Taking taylor expansion of -1 in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.303 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of (cos x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [taylor]: Taking taylor expansion of (cos x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.305 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.305 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.307 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.307 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.307 * [taylor]: Taking taylor expansion of -1 in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.307 * [taylor]: Taking taylor expansion of -1 in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.308 * * * [progress]: simplifying candidates 0.310 * [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)) (- (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 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)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 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)) 0.316 * * [simplify]: iteration 0 : 521 enodes (cost 814 ) 0.325 * * [simplify]: iteration 1 : 2334 enodes (cost 726 ) 0.365 * * [simplify]: iteration 2 : 5001 enodes (cost 690 ) 0.369 * [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)) (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))) (/ (- 1.0 (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) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 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)) 0.370 * * * [progress]: adding candidates to table 0.480 * * [progress]: iteration 3 / 4 0.480 * * * [progress]: picking best candidate 0.507 * * * * [pick]: Picked # 0.507 * * * [progress]: localizing error 0.515 * * * [progress]: generating rewritten candidates 0.515 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.528 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.532 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.555 * * * [progress]: generating series expansions 0.555 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.556 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.556 * [taylor]: Taking taylor expansion of (cos x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.556 * [taylor]: Taking taylor expansion of (cos x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.559 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 0.559 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.559 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.559 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 0.560 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.560 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.560 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.561 * [taylor]: Taking taylor expansion of 1.0 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.562 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.562 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.562 * [taylor]: Taking taylor expansion of (cos x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.562 * [taylor]: Taking taylor expansion of (cos x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.563 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.567 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.567 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 0.567 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.567 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.567 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.567 * [taylor]: Taking taylor expansion of (cos x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.568 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.568 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.568 * [taylor]: Taking taylor expansion of (cos x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.571 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 0.571 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.571 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.571 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.573 * [approximate]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in (x) around 0 0.573 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 0.573 * [taylor]: Taking taylor expansion of -1 in x 0.573 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 0.573 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.573 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.573 * [taylor]: Taking taylor expansion of -1 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 0.574 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.574 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.576 * * * [progress]: simplifying candidates 0.578 * [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)) 0.583 * * [simplify]: iteration 0 : 478 enodes (cost 762 ) 0.592 * * [simplify]: iteration 1 : 2181 enodes (cost 681 ) 0.630 * * [simplify]: iteration 2 : 5001 enodes (cost 665 ) 0.634 * [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)) 0.635 * * * [progress]: adding candidates to table 0.743 * * [progress]: iteration 4 / 4 0.743 * * * [progress]: picking best candidate 0.762 * * * * [pick]: Picked # 0.762 * * * [progress]: localizing error 0.773 * * * [progress]: generating rewritten candidates 0.773 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.776 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.779 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 0.784 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.793 * * * [progress]: generating series expansions 0.793 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.793 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in (x) around 0 0.794 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 0.794 * [taylor]: Taking taylor expansion of 1.0 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 0.794 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 0.794 * [taylor]: Taking taylor expansion of 1.0 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 0.798 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in (x) around 0 0.798 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.798 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.798 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.799 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in (x) around 0 0.799 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.799 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.799 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.799 * [taylor]: Taking taylor expansion of -1 in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.799 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.799 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.799 * [taylor]: Taking taylor expansion of -1 in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.800 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.801 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 0.801 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.801 * [taylor]: Taking taylor expansion of (cos x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.801 * [taylor]: Taking taylor expansion of (cos x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of 1.0 in x 0.801 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 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 0.802 * [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 0.802 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 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 -1 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of 1.0 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 -1 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.803 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 0.803 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 0.803 * [taylor]: Taking taylor expansion of (pow (cos x) 2) 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 (pow (cos x) 2) in x 0.803 * [taylor]: Taking taylor expansion of (cos x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.804 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 0.804 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.804 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) 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 (pow (cos (/ 1 x)) 2) in x 0.804 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.805 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 0.805 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.805 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.805 * [taylor]: Taking taylor expansion of -1 in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.805 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.805 * [taylor]: Taking taylor expansion of -1 in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.806 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.806 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 2)) (+ (cos x) 1.0)) in (x) around 0 0.806 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 2)) (+ (cos x) 1.0)) in x 0.806 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.806 * [taylor]: Taking taylor expansion of (cos x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.806 * [taylor]: Taking taylor expansion of (cos x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 2)) (+ (cos x) 1.0)) in x 0.806 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.806 * [taylor]: Taking taylor expansion of (cos x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.806 * [taylor]: Taking taylor expansion of (cos x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 2)) (+ (cos (/ 1 x)) 1.0)) in (x) around 0 0.809 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 2)) (+ (cos (/ 1 x)) 1.0)) in x 0.809 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 0.809 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.809 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.809 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 2)) (+ (cos (/ 1 x)) 1.0)) in x 0.810 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) 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 0.810 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) 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 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1.0)) in (x) around 0 0.813 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1.0)) in x 0.813 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 0.813 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.813 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.813 * [taylor]: Taking taylor expansion of -1 in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.813 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.813 * [taylor]: Taking taylor expansion of -1 in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of 1.0 in x 0.814 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 2)) (+ (cos (/ -1 x)) 1.0)) in x 0.814 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.814 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.814 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.814 * [taylor]: Taking taylor expansion of -1 in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.814 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.814 * [taylor]: Taking taylor expansion of -1 in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.817 * * * [progress]: simplifying candidates 0.818 * [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 (+ 1.0 (cos x)))) (log (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (exp (/ (- (* 1.0 1.0) (* (cos x) (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)))) (* (* (+ 1.0 (cos x)) (+ 1.0 (cos x))) (+ 1.0 (cos x)))) (* (cbrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (cbrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x))))) (cbrt (/ (- (* 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 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (sqrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (sqrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (neg (- (* 1.0 1.0) (* (cos x) (cos x)))) (neg (+ 1.0 (cos x))) (/ (* 1.0 1.0) (+ 1.0 (cos x))) (/ (* (cos x) (cos x)) (+ 1.0 (cos x))) (/ (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x))))) (/ (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (+ 1.0 (cos x)))) (/ (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (sqrt (+ 1.0 (cos x)))) (/ (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x)))) (/ (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) 1) (/ (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (/ (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) 1) (/ (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x))))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (+ 1.0 (cos x)))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x)))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x)))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) 1) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) 1) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (/ 1 (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x))))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (cbrt (+ 1.0 (cos x)))) (/ 1 (sqrt (+ 1.0 (cos x)))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sqrt (+ 1.0 (cos x)))) (/ 1 1) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x))) (/ 1 1) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x))) (/ (+ 1.0 (cos x)) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x))))) (/ (- 1.0 (cos x)) (cbrt (+ 1.0 (cos x)))) (/ (+ 1.0 (cos x)) (sqrt (+ 1.0 (cos x)))) (/ (- 1.0 (cos x)) (sqrt (+ 1.0 (cos x)))) (/ (+ 1.0 (cos x)) 1) (/ (- 1.0 (cos x)) (+ 1.0 (cos x))) (/ (+ 1.0 (cos x)) 1) (/ (- 1.0 (cos x)) (+ 1.0 (cos x))) (/ 1 (+ 1.0 (cos x))) (/ (+ 1.0 (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x))))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sqrt (+ 1.0 (cos x)))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) 1) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) 1) (/ (+ 1.0 (cos x)) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (+ 1.0 (cos x)) (sqrt (- (* 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))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (pow 1.0 3) (pow (cos x) 3))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (- (* 1.0 1.0) (* (cos x) (cos 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)))))) (* (+ 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 (pow x 2)) (* 0.0013888888888888944 (pow x 6))) (* 0.04166666666666666 (pow x 4))) (/ (- 1.0 (pow (cos x) 2)) (+ 1.0 (cos x))) (/ (- 1.0 (pow (cos x) 2)) (+ 1.0 (cos x))) 0.824 * * [simplify]: iteration 0 : 380 enodes (cost 812 ) 0.831 * * [simplify]: iteration 1 : 1751 enodes (cost 741 ) 0.867 * * [simplify]: iteration 2 : 5002 enodes (cost 723 ) 0.871 * [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)) (- (/ (pow 1.0 4) 1) (/ (pow (cos x) 4) 1)) (+ (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))) (+ 1.0 (cos x)))) (log (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (exp (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (pow (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x))) 3) (* (cbrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (cbrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x))))) (cbrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (pow (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x))) 3) (sqrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (sqrt (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)))) (neg (- (* 1.0 1.0) (* (cos x) (cos x)))) (neg (+ 1.0 (cos x))) (/ (* 1.0 1.0) (+ 1.0 (cos x))) (/ (pow (cos x) 2) (+ 1.0 (cos x))) (/ (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x))))) (/ (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (+ 1.0 (cos x)))) (/ (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (sqrt (+ 1.0 (cos x)))) (/ (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x))))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (+ 1.0 (cos x)))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x)))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (+ 1.0 (cos x)))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (/ (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (+ 1.0 (cos x))) (/ 1 (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x))))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (cbrt (+ 1.0 (cos x)))) (/ 1 (sqrt (+ 1.0 (cos x)))) (/ (- (* 1.0 1.0) (pow (cos x) 2)) (sqrt (+ 1.0 (cos x)))) 1 (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x))) 1 (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x))) (/ (+ 1.0 (cos x)) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x))))) (/ (- 1.0 (cos x)) (cbrt (+ 1.0 (cos x)))) (/ (+ 1.0 (cos x)) (sqrt (+ 1.0 (cos x)))) (/ (- 1.0 (cos x)) (sqrt (+ 1.0 (cos x)))) (+ 1.0 (cos x)) (/ (- 1.0 (cos x)) (+ 1.0 (cos x))) (+ 1.0 (cos x)) (/ (- 1.0 (cos x)) (+ 1.0 (cos x))) (/ 1 (+ 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x))))) (/ (- (* 1.0 1.0) (pow (cos x) 2)) (sqrt (+ 1.0 (cos x)))) (- (* 1.0 1.0) (pow (cos x) 2)) (- (* 1.0 1.0) (pow (cos x) 2)) (/ (+ 1.0 (cos x)) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (+ 1.0 (cos x)) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (- 1.0 (cos x))) (/ (+ 1.0 (cos x)) (- 1.0 (cos x))) (/ (- (* 1.0 1.0) (pow (cos x) 2)) (+ (pow 1.0 3) (pow (cos x) 3))) 1 (* (+ (+ (pow 1.0 4) (* 1.0 (* 1.0 (pow (cos x) 2)))) (pow (cos x) 4)) (+ 1.0 (cos x))) (* (+ (pow (cos x) 2) (* 1.0 1.0)) (+ 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 (pow x 2)) (* 0.0013888888888888944 (pow x 6))) (* 0.04166666666666666 (pow x 4))) (/ (- 1.0 (pow (cos x) 2)) (+ 1.0 (cos x))) (/ (- 1.0 (pow (cos x) 2)) (+ 1.0 (cos x))) 0.872 * * * [progress]: adding candidates to table 0.993 * [progress]: [Phase 3 of 3] Extracting. 0.993 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 0.995 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 0.995 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # #) 1.046 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 1.109 * * * [regime]: Found split indices: #