9.642 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.283 * * * [progress]: [2/2] Setting up program. 0.285 * [progress]: [Phase 2 of 3] Improving. 0.286 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.287 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.288 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.289 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.290 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.291 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.292 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.292 * * [progress]: iteration 1 / 4 0.292 * * * [progress]: picking best candidate 0.294 * * * * [pick]: Picked # 0.294 * * * [progress]: localizing error 0.300 * * * [progress]: generating rewritten candidates 0.300 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.307 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.312 * * * [progress]: generating series expansions 0.312 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.312 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (cos x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [taylor]: Taking taylor expansion of (cos x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.315 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.315 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.316 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.316 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.316 * [taylor]: Taking taylor expansion of -1 in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.318 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.318 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of (cos x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of (cos x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.319 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.319 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.320 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.320 * [taylor]: Taking taylor expansion of -1 in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.320 * [taylor]: Taking taylor expansion of -1 in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.321 * * * [progress]: simplifying candidates 0.321 * [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)) 0.325 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.328 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.339 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.378 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.380 * [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)) 0.381 * * * [progress]: adding candidates to table 0.448 * * [progress]: iteration 2 / 4 0.448 * * * [progress]: picking best candidate 0.471 * * * * [pick]: Picked # 0.471 * * * [progress]: localizing error 0.478 * * * [progress]: generating rewritten candidates 0.478 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.482 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.488 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.506 * * * [progress]: generating series expansions 0.506 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.506 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (cos x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (cos x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.511 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.511 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.512 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (cos x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (cos x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.514 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.516 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.516 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.516 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.516 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.516 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.516 * [taylor]: Taking taylor expansion of -1 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.518 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.518 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (cos x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (cos x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.520 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.522 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.522 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.522 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.523 * * * [progress]: simplifying candidates 0.525 * [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)) 0.530 * * [simplify]: iteration 0 : 521 enodes (cost 814 ) 0.540 * * [simplify]: iteration 1 : 2334 enodes (cost 726 ) 0.579 * * [simplify]: iteration 2 : 5001 enodes (cost 690 ) 0.584 * [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)) 0.584 * * * [progress]: adding candidates to table 0.696 * * [progress]: iteration 3 / 4 0.696 * * * [progress]: picking best candidate 0.718 * * * * [pick]: Picked # 0.718 * * * [progress]: localizing error 0.727 * * * [progress]: generating rewritten candidates 0.727 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.741 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.745 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.775 * * * [progress]: generating series expansions 0.775 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.775 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 0.776 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.776 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.776 * [taylor]: Taking taylor expansion of 1.0 in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.776 * [taylor]: Taking taylor expansion of (cos x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.776 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.776 * [taylor]: Taking taylor expansion of 1.0 in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.776 * [taylor]: Taking taylor expansion of (cos x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.781 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 0.781 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.781 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.781 * [taylor]: Taking taylor expansion of 1.0 in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.781 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.781 * [taylor]: Taking taylor expansion of 1.0 in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.784 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 0.784 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.784 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.784 * [taylor]: Taking taylor expansion of -1 in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.784 * [taylor]: Taking taylor expansion of 1.0 in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.784 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.784 * [taylor]: Taking taylor expansion of -1 in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.787 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.787 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 0.787 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.787 * [taylor]: Taking taylor expansion of (cos x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.787 * [taylor]: Taking taylor expansion of (cos x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.788 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 0.788 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.791 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 0.791 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.791 * [taylor]: Taking taylor expansion of -1 in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.793 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.793 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 0.794 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.794 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.794 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.794 * [taylor]: Taking taylor expansion of 1.0 in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (/ (cos x) x) 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 x in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.795 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.795 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.795 * [taylor]: Taking taylor expansion of (cos x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.799 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 0.799 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.800 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.800 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.802 * [approximate]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in (x) around 0 0.802 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 0.802 * [taylor]: Taking taylor expansion of -1 in x 0.802 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 0.802 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.802 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.802 * [taylor]: Taking taylor expansion of x 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 x) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 0.802 * [taylor]: Taking taylor expansion of -1 in x 0.802 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 0.802 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.802 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.803 * [taylor]: Taking taylor expansion of -1 in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.803 * [taylor]: Taking taylor expansion of 1.0 in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.805 * * * [progress]: simplifying candidates 0.807 * [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)) 0.813 * * [simplify]: iteration 0 : 478 enodes (cost 762 ) 0.822 * * [simplify]: iteration 1 : 2181 enodes (cost 681 ) 0.860 * * [simplify]: iteration 2 : 5001 enodes (cost 665 ) 0.865 * [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)) 0.865 * * * [progress]: adding candidates to table 0.975 * * [progress]: iteration 4 / 4 0.975 * * * [progress]: picking best candidate 0.997 * * * * [pick]: Picked # 0.998 * * * [progress]: localizing error 1.009 * * * [progress]: generating rewritten candidates 1.009 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.013 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.020 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.021 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.024 * * * [progress]: generating series expansions 1.024 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.024 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.024 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * [taylor]: Taking taylor expansion of (cos x) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * [taylor]: Taking taylor expansion of (cos x) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.026 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.026 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.026 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.027 * [taylor]: Taking taylor expansion of -1 in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.027 * [taylor]: Taking taylor expansion of -1 in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.027 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 1.027 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.027 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.027 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.027 * [taylor]: Taking taylor expansion of 1/3 in x 1.027 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.028 * [taylor]: Taking taylor expansion of 1/3 in x 1.028 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.035 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.035 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.035 * [taylor]: Taking taylor expansion of 1/3 in x 1.035 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.035 * [taylor]: Taking taylor expansion of 1/3 in x 1.035 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.042 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.042 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.042 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.042 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.042 * [taylor]: Taking taylor expansion of -1 in x 1.043 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.043 * [taylor]: Taking taylor expansion of 1/3 in x 1.043 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.043 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.043 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.043 * [taylor]: Taking taylor expansion of -1 in x 1.043 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.043 * [taylor]: Taking taylor expansion of 1/3 in x 1.043 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.053 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.053 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.053 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.053 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.053 * [taylor]: Taking taylor expansion of 1/3 in x 1.053 * [taylor]: Taking taylor expansion of (log x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.053 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.053 * [taylor]: Taking taylor expansion of 1/3 in x 1.053 * [taylor]: Taking taylor expansion of (log x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.061 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.061 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.061 * [taylor]: Taking taylor expansion of 1/3 in x 1.061 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.061 * [taylor]: Taking taylor expansion of 1/3 in x 1.061 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.068 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.068 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.068 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.068 * [taylor]: Taking taylor expansion of -1 in x 1.068 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.068 * [taylor]: Taking taylor expansion of 1/3 in x 1.068 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.068 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.068 * [taylor]: Taking taylor expansion of -1 in x 1.068 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.068 * [taylor]: Taking taylor expansion of 1/3 in x 1.068 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.076 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.076 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.076 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.076 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.076 * [taylor]: Taking taylor expansion of 1/3 in x 1.076 * [taylor]: Taking taylor expansion of (log x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.076 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.076 * [taylor]: Taking taylor expansion of 1/3 in x 1.076 * [taylor]: Taking taylor expansion of (log x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.085 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.085 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.085 * [taylor]: Taking taylor expansion of 1/3 in x 1.085 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.085 * [taylor]: Taking taylor expansion of 1/3 in x 1.085 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.091 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.091 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.091 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.091 * [taylor]: Taking taylor expansion of -1 in x 1.092 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.092 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.092 * [taylor]: Taking taylor expansion of 1/3 in x 1.092 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.092 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.092 * [taylor]: Taking taylor expansion of -1 in x 1.092 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.092 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.092 * [taylor]: Taking taylor expansion of 1/3 in x 1.092 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.100 * * * [progress]: simplifying candidates 1.101 * [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)) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (exp (* 1/3 (+ (log 1) (* 2 (log x))))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 x)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 x))))))) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (exp (* 1/3 (+ (log 1) (log x)))) (exp (* 1/3 (- (log 1) (log (/ 1 x))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) 1.105 * * [simplify]: iteration 0 : 232 enodes (cost 374 ) 1.109 * * [simplify]: iteration 1 : 716 enodes (cost 346 ) 1.125 * * [simplify]: iteration 2 : 3159 enodes (cost 300 ) 1.198 * * [simplify]: iteration 3 : 5001 enodes (cost 287 ) 1.200 * [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)) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2 (log (cbrt x))) (* 2 (log (cbrt x))) (exp (* (cbrt x) (cbrt x))) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (cbrt x)) (fabs (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt x) (cbrt x) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (cbrt x) (cbrt x) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (cbrt x) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (cbrt x) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (pow x 2/3) (pow x 2/3) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 x))))))) (cbrt x) (cbrt x) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) (cbrt x) (cbrt x) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 x)))))) 1.201 * * * [progress]: adding candidates to table 1.275 * [progress]: [Phase 3 of 3] Extracting. 1.275 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 1.276 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.276 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # #) 1.328 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 1.390 * * * [regime]: Found split indices: #