8.145 * [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. 0.285 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.304 * * [simplify]: iteration 0 : 500 enodes (cost 8 ) 0.305 * * [simplify]: iteration 1 : 500 enodes (cost 8 ) 0.305 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.305 * * [progress]: iteration 1 / 4 0.305 * * * [progress]: picking best candidate 0.307 * * * * [pick]: Picked # 0.307 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.320 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.324 * * * [progress]: generating series expansions 0.324 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.324 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [taylor]: Taking taylor expansion of (cos x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (cos x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.327 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.328 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.329 * [taylor]: Taking taylor expansion of -1 in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.329 * [taylor]: Taking taylor expansion of -1 in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.330 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (cos x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (cos x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.332 * [taylor]: Taking taylor expansion of -1 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.332 * [taylor]: Taking taylor expansion of -1 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.333 * * * [progress]: simplifying candidates 0.333 * [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)) (- (+ (* 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)) 0.376 * * [simplify]: iteration 0 : 4894 enodes (cost 437 ) 0.376 * * [simplify]: iteration 1 : 4894 enodes (cost 437 ) 0.378 * [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)) 3) (pow x 6)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (* (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)) 3) (pow x 6)) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (cos x) 1.0) (* x (neg 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) (+ 1.0 (cos x)))))) (* 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)) (+ (* 1.0 1.0) (* (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)) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (* x (* x 1/2)) (+ (* (pow x 6) 1/720) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.378 * * * [progress]: adding candidates to table 0.446 * * [progress]: iteration 2 / 4 0.446 * * * [progress]: picking best candidate 0.472 * * * * [pick]: Picked # 0.472 * * * [progress]: localizing error 0.479 * * * [progress]: generating rewritten candidates 0.479 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.488 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.492 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.498 * * * [progress]: generating series expansions 0.498 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.498 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 0.498 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of (cos x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 0.499 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (cos x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.502 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.504 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.506 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.506 * [approximate]: Taking taylor expansion of (/ (cos x) (pow x 2)) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) 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 (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) 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 (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * [approximate]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [approximate]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.511 * [taylor]: Taking taylor expansion of x 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 -1 in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 0.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.511 * [taylor]: Taking taylor expansion of x 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 -1 in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.512 * [approximate]: Taking taylor expansion of (/ 1.0 (pow x 2)) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (/ 1.0 (pow x 2)) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (/ 1.0 (pow x 2)) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [approximate]: Taking taylor expansion of (* 1.0 (pow x 2)) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [approximate]: Taking taylor expansion of (* 1.0 (pow x 2)) in (x) around 0 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.515 * * * [progress]: simplifying candidates 0.516 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 (* x x))) (exp (/ (cos x) (* x x)))) (log (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (exp (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (* (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (* (* (- (/ 1.0 (* x x)) (/ (cos x) (* x x))) (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (- 1.0 (cos x)) (- (* 1.0 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x)) (- (pow (/ 1.0 (* x x)) 3) (pow (/ (cos x) (* x x)) 3)) (+ (* (/ 1.0 (* x x)) (/ 1.0 (* x x))) (+ (* (/ (cos x) (* x x)) (/ (cos x) (* x x))) (* (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (neg (/ (cos x) (* x x))) (- (* (/ 1.0 (* x x)) (/ 1.0 (* x x))) (* (/ (cos x) (* x x)) (/ (cos x) (* x x)))) (+ (/ 1.0 (* x x)) (/ (cos x) (* x x))) (+ (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x)))) (- (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x)))) (+ (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x)) (- (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x)) (+ (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x)))) (- (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x)))) (+ (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x)) (- (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x)) (- (/ 1.0 x) (/ (cos x) x)) (- (/ 1.0 (* x x)) (/ (cos x) (* x x))) (- 1.0 (cos x)) (- (log (cos x)) (+ (log x) (log x))) (- (log (cos x)) (log (* x x))) (log (/ (cos x) (* x x))) (exp (/ (cos x) (* x x))) (/ (* (* (cos x) (cos x)) (cos x)) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (cos x) (cos x)) (cos x)) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (cos x) (* x x))) (cbrt (/ (cos x) (* x x)))) (cbrt (/ (cos x) (* x x))) (* (* (/ (cos x) (* x x)) (/ (cos x) (* x x))) (/ (cos x) (* x x))) (sqrt (/ (cos x) (* x x))) (sqrt (/ (cos x) (* x x))) (neg (cos x)) (neg (* x x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) x) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) x) (/ (sqrt (cos x)) x) (/ 1 x) (/ (cos x) x) (/ 1 (* x x)) (/ (* x x) (cos x)) (/ (cos x) x) (/ (* x x) (cbrt (cos x))) (/ (* x x) (sqrt (cos x))) (/ (* x x) (cos x)) (- (log 1.0) (+ (log x) (log x))) (- (log 1.0) (log (* x x))) (log (/ 1.0 (* x x))) (exp (/ 1.0 (* x x))) (/ (* (* 1.0 1.0) 1.0) (* (* (* x x) x) (* (* x x) x))) (/ (* (* 1.0 1.0) 1.0) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x)))) (cbrt (/ 1.0 (* x x))) (* (* (/ 1.0 (* x x)) (/ 1.0 (* x x))) (/ 1.0 (* x x))) (sqrt (/ 1.0 (* x x))) (sqrt (/ 1.0 (* x x))) (neg 1.0) (neg (* x x)) (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) x) (/ (sqrt 1.0) x) (/ (sqrt 1.0) x) (/ 1 x) (/ 1.0 x) (/ 1 (* x x)) (/ (* x x) 1.0) (/ 1.0 x) (/ (* x x) (cbrt 1.0)) (/ (* x x) (sqrt 1.0)) (/ (* x x) 1.0) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/24 (pow x 2)) (/ 1 (pow x 2))) 1/2) (/ (cos x) (pow x 2)) (/ (cos x) (pow x 2)) (/ 1.0 (pow x 2)) (/ 1.0 (pow x 2)) (/ 1.0 (pow x 2)) 0.559 * * [simplify]: iteration 0 : 4926 enodes (cost 651 ) 0.559 * * [simplify]: iteration 1 : 4926 enodes (cost 651 ) 0.562 * [simplify]: Simplified to: (exp (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (* (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)) 3) (pow x 6)) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- 1.0 (cos x)) (* x (* x (- 1.0 (cos x)))) (pow x 4) (- (/ (pow 1.0 3) (pow x 6)) (/ (pow (cos x) 3) (pow x 6))) (+ (* (cos x) (/ (cos x) (pow x 4))) (* (/ 1.0 (pow x 4)) (+ 1.0 (cos x)))) (/ (neg (cos x)) (* x x)) (- (* 1.0 (/ 1.0 (pow x 4))) (* (cos x) (/ (cos x) (pow x 4)))) (+ (/ 1.0 (* x x)) (/ (cos x) (* x x))) (+ (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x)))) (- (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x)))) (+ (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x)) (- (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x)) (+ (sqrt (/ (cos x) (* x x))) (/ (sqrt 1.0) x)) (- (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x)))) (+ (/ (sqrt (cos x)) x) (/ (sqrt 1.0) x)) (- (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) (* x x)) (- 1.0 (cos x)) (log (/ (cos x) (* x x))) (log (/ (cos x) (* x x))) (log (/ (cos x) (* x x))) (exp (/ (cos x) (* x x))) (/ (pow (cos x) 3) (pow x 6)) (/ (pow (cos x) 3) (pow x 6)) (* (cbrt (/ (cos x) (* x x))) (cbrt (/ (cos x) (* x x)))) (cbrt (/ (cos x) (* x x))) (/ (pow (cos x) 3) (pow x 6)) (sqrt (/ (cos x) (* x x))) (sqrt (/ (cos x) (* x x))) (neg (cos x)) (* x (neg x)) (* (cbrt (cos x)) (/ (cbrt (cos x)) x)) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) x) (/ (sqrt (cos x)) x) (/ 1 x) (/ (cos x) x) (/ 1 (* x x)) (* x (/ x (cos x))) (/ (cos x) x) (* x (/ x (cbrt (cos x)))) (* x (/ x (sqrt (cos x)))) (* x (/ x (cos x))) (log (/ 1.0 (* x x))) (log (/ 1.0 (* x x))) (log (/ 1.0 (* x x))) (exp (/ 1.0 (* x x))) (/ (pow 1.0 3) (pow x 6)) (/ (pow 1.0 3) (pow x 6)) (* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x)))) (cbrt (/ 1.0 (* x x))) (/ (pow 1.0 3) (pow x 6)) (sqrt (/ 1.0 (* x x))) (sqrt (/ 1.0 (* x x))) (neg 1.0) (* x (neg x)) (* (cbrt 1.0) (/ (cbrt 1.0) x)) (/ (cbrt 1.0) x) (/ (sqrt 1.0) x) (/ (sqrt 1.0) x) (/ 1 x) (/ 1.0 x) (/ 1 (* x x)) (* x (/ x 1.0)) (/ 1.0 x) (* x (/ x (cbrt 1.0))) (* x (/ x (sqrt 1.0))) (* x (/ x 1.0)) (+ (* (pow x 4) 1/720) (+ 1/2 (* x (* x -1/24)))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (/ 1 (* x x)) (+ (* x (* x 1/24)) -1/2)) (/ (cos x) (* x x)) (/ (cos x) (* x x)) (/ 1.0 (* x x)) (/ 1.0 (* x x)) (/ 1.0 (* x x)) 0.562 * * * [progress]: adding candidates to table 0.624 * * [progress]: iteration 3 / 4 0.624 * * * [progress]: picking best candidate 0.648 * * * * [pick]: Picked # 0.648 * * * [progress]: localizing error 0.655 * * * [progress]: generating rewritten candidates 0.655 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.659 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.672 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.684 * * * [progress]: generating series expansions 0.684 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.684 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (cos x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (cos x) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.686 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.686 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.686 * [taylor]: Taking taylor expansion of 1.0 in x 0.686 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.686 * [taylor]: Taking taylor expansion of 1.0 in x 0.686 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.687 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.687 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.687 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.687 * [taylor]: Taking taylor expansion of -1 in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.687 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.687 * [taylor]: Taking taylor expansion of -1 in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.687 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.687 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.687 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.687 * [taylor]: Taking taylor expansion of (cos x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.688 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (cos x) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.690 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.690 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.691 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.691 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.691 * [taylor]: Taking taylor expansion of -1 in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.691 * [taylor]: Taking taylor expansion of -1 in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.692 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.693 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.693 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (cos x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (cos x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.695 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.695 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.696 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.696 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.696 * [taylor]: Taking taylor expansion of -1 in x 0.696 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.696 * [taylor]: Taking taylor expansion of -1 in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.696 * [taylor]: Taking taylor expansion of -1 in x 0.696 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.696 * [taylor]: Taking taylor expansion of -1 in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.698 * * * [progress]: simplifying candidates 0.699 * [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)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (neg (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (neg (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (neg (- 1.0 (cos x))) (neg x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 0.737 * * [simplify]: iteration 0 : 5658 enodes (cost 1207 ) 0.742 * [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)) (+ (* 1.0 1.0) (* (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)) (/ (- 1.0 (cos x)) (* x x)) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (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)) 3) (pow x 6)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (* (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)) 3) (pow x 6)) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- 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 (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (* (cbrt (/ (- 1.0 (cos x)) x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (* (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (/ (pow x 3/2) (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)) x)) (/ (sqrt (- 1.0 (cos x))) (pow x 3/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (* (cbrt x) (cbrt x)) x)) (/ 1 (pow x 3/2)) (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (* (cbrt x) (cbrt x)) x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (pow x 3/2)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (* (cbrt x) (cbrt x)) x)) (/ 1 (pow x 3/2)) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (* (- 1.0 (cos x)) (/ (cbrt (/ 1 x)) x)) (* (- 1.0 (cos x)) (/ (sqrt (/ 1 x)) x)) (* (- 1.0 (cos x)) (/ (/ (cbrt 1) (cbrt x)) x)) (/ (cbrt 1) (/ (pow x 3/2) (- 1.0 (cos x)))) (* (- 1.0 (cos x)) (/ (/ (cbrt 1) x) x)) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) (pow x 3/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) (pow x 3/2)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (cos x) 1.0) (neg x) (/ 1.0 x) (/ (cos x) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (* (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (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))) (* x (+ (* 1.0 1.0) (* (cos x) (+ 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ 1/2 (+ (* 1/720 (pow x 4)) (* (* x x) -1/24))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (* x 1/2) (+ (* 1/720 (pow x 5)) (* (pow x 3) -1/24))) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) 0.742 * * * [progress]: adding candidates to table 0.853 * * [progress]: iteration 4 / 4 0.853 * * * [progress]: picking best candidate 0.879 * * * * [pick]: Picked # 0.879 * * * [progress]: localizing error 0.886 * * * [progress]: generating rewritten candidates 0.886 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.890 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.898 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.905 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.918 * * * [progress]: generating series expansions 0.918 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.919 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (cos x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (cos x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.920 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.920 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.920 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.920 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.921 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.921 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.921 * [taylor]: Taking taylor expansion of -1 in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.921 * [taylor]: Taking taylor expansion of -1 in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.921 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.921 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.921 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.922 * [taylor]: Taking taylor expansion of 1.0 in x 0.922 * [taylor]: Taking taylor expansion of (cos x) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.922 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.922 * [taylor]: Taking taylor expansion of 1.0 in x 0.922 * [taylor]: Taking taylor expansion of (cos x) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.924 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.924 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.925 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.925 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.925 * [taylor]: Taking taylor expansion of -1 in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.925 * [taylor]: Taking taylor expansion of -1 in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.926 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.927 * [approximate]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in (x) around 0 0.927 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (cos x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (cos x))) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (cos x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.928 * [approximate]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.929 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in x 0.929 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (cos (/ 1 x))))) in x 0.929 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.931 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.931 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.931 * [taylor]: Taking taylor expansion of -1 in x 0.931 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.931 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.931 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.931 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.931 * [taylor]: Taking taylor expansion of -1 in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.931 * [taylor]: Taking taylor expansion of -1 in x 0.931 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.931 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.931 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.931 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.931 * [taylor]: Taking taylor expansion of -1 in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.934 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.934 * [approximate]: Taking taylor expansion of (/ (pow x 2) (- 1.0 (cos x))) in (x) around 0 0.934 * [taylor]: Taking taylor expansion of (/ (pow x 2) (- 1.0 (cos x))) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (cos x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (/ (pow x 2) (- 1.0 (cos x))) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (cos x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.936 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.936 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (- 1.0 (cos (/ 1 x))))) in x 0.936 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (- 1.0 (cos (/ 1 x))))) in x 0.936 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.938 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ -1 x))) (pow x 2))) in (x) around 0 0.938 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ -1 x))) (pow x 2))) in x 0.938 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.939 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.939 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.939 * [taylor]: Taking taylor expansion of -1 in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (cos (/ -1 x))) (pow x 2))) in x 0.939 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.939 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.939 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.939 * [taylor]: Taking taylor expansion of -1 in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.941 * * * [progress]: simplifying candidates 0.943 * [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 1) (neg 1) (neg (+ (log x) (- (log x) (log (- 1.0 (cos x)))))) (neg (+ (log x) (log (/ x (- 1.0 (cos x)))))) (neg (log (* x (/ x (- 1.0 (cos x)))))) (- 0 (+ (log x) (- (log x) (log (- 1.0 (cos x)))))) (- 0 (+ (log x) (log (/ x (- 1.0 (cos x)))))) (- 0 (log (* x (/ x (- 1.0 (cos x)))))) (- (log 1) (+ (log x) (- (log x) (log (- 1.0 (cos x)))))) (- (log 1) (+ (log x) (log (/ x (- 1.0 (cos x)))))) (- (log 1) (log (* x (/ x (- 1.0 (cos x)))))) (log (/ 1 (* x (/ x (- 1.0 (cos x)))))) (exp (/ 1 (* x (/ x (- 1.0 (cos x)))))) (/ (* (* 1 1) 1) (* (* (* x x) x) (/ (* (* x x) x) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))))) (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* (/ x (- 1.0 (cos x))) (/ x (- 1.0 (cos x)))) (/ x (- 1.0 (cos x)))))) (/ (* (* 1 1) 1) (* (* (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- 1.0 (cos x))))) (* x (/ x (- 1.0 (cos x)))))) (* (cbrt (/ 1 (* x (/ x (- 1.0 (cos x)))))) (cbrt (/ 1 (* x (/ x (- 1.0 (cos x))))))) (cbrt (/ 1 (* x (/ x (- 1.0 (cos x)))))) (* (* (/ 1 (* x (/ x (- 1.0 (cos x))))) (/ 1 (* x (/ x (- 1.0 (cos x)))))) (/ 1 (* x (/ x (- 1.0 (cos x)))))) (sqrt (/ 1 (* x (/ x (- 1.0 (cos x)))))) (sqrt (/ 1 (* x (/ x (- 1.0 (cos x)))))) (neg 1) (neg (* x (/ x (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) x) (/ (cbrt 1) (/ x (- 1.0 (cos x)))) (/ (sqrt 1) x) (/ (sqrt 1) (/ x (- 1.0 (cos x)))) (/ 1 x) (/ 1 (/ x (- 1.0 (cos x)))) (/ 1 (* x (/ x (- 1.0 (cos x))))) (/ (* x (/ x (- 1.0 (cos x)))) 1) (/ 1 x) (/ (* x (/ x (- 1.0 (cos x)))) (cbrt 1)) (/ (* x (/ x (- 1.0 (cos x)))) (sqrt 1)) (/ (* x (/ x (- 1.0 (cos x)))) 1) (/ 1 (* x x)) (- (log x) (log (- 1.0 (cos x)))) (log (/ x (- 1.0 (cos x)))) (exp (/ x (- 1.0 (cos x)))) (/ (* (* x x) x) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (cbrt (/ x (- 1.0 (cos x)))) (cbrt (/ x (- 1.0 (cos x))))) (cbrt (/ x (- 1.0 (cos x)))) (* (* (/ x (- 1.0 (cos x))) (/ x (- 1.0 (cos x)))) (/ x (- 1.0 (cos x)))) (sqrt (/ x (- 1.0 (cos x)))) (sqrt (/ x (- 1.0 (cos x)))) (neg x) (neg (- 1.0 (cos x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (cbrt x) (cbrt (- 1.0 (cos x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 (cos x)))) (/ (cbrt x) (sqrt (- 1.0 (cos x)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 (cos x))) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (cbrt x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 (cos x))) (/ (sqrt x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sqrt x) (cbrt (- 1.0 (cos x)))) (/ (sqrt x) (sqrt (- 1.0 (cos x)))) (/ (sqrt x) (sqrt (- 1.0 (cos x)))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 (cos x))) (/ (sqrt x) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 (cos x))) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ x (cbrt (- 1.0 (cos x)))) (/ 1 (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ 1 1) (/ x (- 1.0 (cos x))) (/ 1 (+ (sqrt 1.0) (sqrt (cos x)))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ 1 1) (/ x (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ x (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x 1) (/ x (+ (sqrt 1.0) (sqrt (cos x)))) (/ x 1) (/ (- 1.0 (cos x)) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (- (pow 1.0 3) (pow (cos x) 3))) (/ x (- (* 1.0 1.0) (* (cos x) (cos x)))) (* x (/ x (- 1.0 (cos x)))) (+ (log x) (- (log x) (log (- 1.0 (cos x))))) (+ (log x) (log (/ x (- 1.0 (cos x))))) (log (* x (/ x (- 1.0 (cos x))))) (exp (* x (/ 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 (- 1.0 (cos x))) (/ x (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))))) (* (cbrt (* x (/ x (- 1.0 (cos x))))) (cbrt (* x (/ x (- 1.0 (cos x)))))) (cbrt (* x (/ x (- 1.0 (cos x))))) (* (* (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- 1.0 (cos x))))) (* x (/ x (- 1.0 (cos x))))) (sqrt (* x (/ x (- 1.0 (cos x))))) (sqrt (* x (/ x (- 1.0 (cos x))))) (* (sqrt x) (sqrt (/ x (- 1.0 (cos x))))) (* (sqrt x) (sqrt (/ x (- 1.0 (cos x))))) (* (sqrt x) (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (* (sqrt x) (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (* x (* (cbrt (/ x (- 1.0 (cos x)))) (cbrt (/ x (- 1.0 (cos x)))))) (* x (sqrt (/ x (- 1.0 (cos x))))) (* x (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* x (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 (cos x))))) (* x (/ (* (cbrt x) (cbrt x)) 1)) (* x (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt (cos x))))) (* x (/ (* (cbrt x) (cbrt x)) 1)) (* x (/ (sqrt x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* x (/ (sqrt x) (sqrt (- 1.0 (cos x))))) (* x (/ (sqrt x) 1)) (* x (/ (sqrt x) (+ (sqrt 1.0) (sqrt (cos x))))) (* x (/ (sqrt x) 1)) (* x (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* x (/ 1 (sqrt (- 1.0 (cos x))))) (* x (/ 1 1)) (* x (/ 1 (+ (sqrt 1.0) (sqrt (cos x))))) (* x (/ 1 1)) (* x 1) (* x x) (* x (/ x (- (pow 1.0 3) (pow (cos x) 3)))) (* x (/ x (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt x) (/ x (- 1.0 (cos x)))) (* (sqrt x) (/ x (- 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)) (- (+ (* 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)) (+ (* 1/120 (pow x 3)) (+ (* 2 (/ 1 x)) (* 1/6 x))) (/ x (- 1.0 (cos x))) (/ x (- 1.0 (cos x))) (+ (* 1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) 2)) (/ (pow x 2) (- 1.0 (cos x))) (/ (pow x 2) (- 1.0 (cos x))) 0.993 * * [simplify]: iteration 0 : 6060 enodes (cost 1244 ) 0.997 * [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)) (+ (* 1.0 1.0) (* (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)) -1 -1 (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (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)) 3) (pow x 6)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (/ (pow (- 1.0 (cos x)) 3) (pow x 6)) (* (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)) 3) (pow x 6)) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) -1 (* x (/ (neg x) (- 1.0 (cos x)))) (* (cbrt 1) (/ (cbrt 1) x)) (* (- 1.0 (cos x)) (/ (cbrt 1) x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) (* x x)) (* x (/ x (- 1.0 (cos x)))) (/ 1 x) (* (/ x (- 1.0 (cos x))) (/ x (cbrt 1))) (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- 1.0 (cos x)))) (/ 1 (* x x)) (log (/ x (- 1.0 (cos x)))) (log (/ x (- 1.0 (cos x)))) (exp (/ x (- 1.0 (cos x)))) (pow (/ x (- 1.0 (cos x))) 3) (* (cbrt (/ x (- 1.0 (cos x)))) (cbrt (/ x (- 1.0 (cos x))))) (cbrt (/ x (- 1.0 (cos x)))) (pow (/ x (- 1.0 (cos x))) 3) (sqrt (/ x (- 1.0 (cos x)))) (sqrt (/ x (- 1.0 (cos x)))) (neg x) (- (cos x) 1.0) (* (cbrt x) (/ (cbrt x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt x) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (/ (cbrt x) (sqrt (- 1.0 (cos x))))) (/ (cbrt x) (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 (cos x))) (* (cbrt x) (/ (cbrt x) (+ (sqrt 1.0) (sqrt (cos x))))) (/ (cbrt x) (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 (cos x))) (/ (sqrt x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sqrt x) (cbrt (- 1.0 (cos x)))) (/ (sqrt x) (sqrt (- 1.0 (cos x)))) (/ (sqrt x) (sqrt (- 1.0 (cos x)))) (sqrt x) (/ (sqrt x) (- 1.0 (cos x))) (/ (sqrt x) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt x) (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x) (/ (sqrt x) (- 1.0 (cos x))) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ x (cbrt (- 1.0 (cos x)))) (/ 1 (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) 1 (/ x (- 1.0 (cos x))) (/ 1 (+ (sqrt 1.0) (sqrt (cos x)))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) 1 (/ x (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ x (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) x (/ x (+ (sqrt 1.0) (sqrt (cos x)))) x (/ (- 1.0 (cos x)) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (- (pow 1.0 3) (pow (cos x) 3))) (/ x (- (* 1.0 1.0) (* (cos x) (cos x)))) (* x (/ x (- 1.0 (cos x)))) (log (* x (/ x (- 1.0 (cos x))))) (log (* x (/ x (- 1.0 (cos x))))) (log (* x (/ x (- 1.0 (cos x))))) (pow (exp (/ x (- 1.0 (cos x)))) x) (/ (pow x 6) (pow (- 1.0 (cos x)) 3)) (/ (pow x 6) (pow (- 1.0 (cos x)) 3)) (* (cbrt (* x (/ x (- 1.0 (cos x))))) (cbrt (* x (/ x (- 1.0 (cos x)))))) (cbrt (* x (/ x (- 1.0 (cos x))))) (/ (pow x 6) (pow (- 1.0 (cos x)) 3)) (sqrt (* x (/ x (- 1.0 (cos x))))) (sqrt (* x (/ x (- 1.0 (cos x))))) (* (sqrt (/ x (- 1.0 (cos x)))) (sqrt x)) (* (sqrt (/ x (- 1.0 (cos x)))) (sqrt x)) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (* x (* (cbrt (/ x (- 1.0 (cos x)))) (cbrt (/ x (- 1.0 (cos x)))))) (* x (sqrt (/ x (- 1.0 (cos x))))) (* x (* (cbrt x) (/ (cbrt x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (* x (* (cbrt x) (/ (cbrt x) (sqrt (- 1.0 (cos x)))))) (* x (* (cbrt x) (cbrt x))) (* x (* (cbrt x) (/ (cbrt x) (+ (sqrt 1.0) (sqrt (cos x)))))) (* x (* (cbrt x) (cbrt x))) (/ (pow x 3/2) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (pow x 3/2) (sqrt (- 1.0 (cos x)))) (pow x 3/2) (/ (pow x 3/2) (+ (sqrt 1.0) (sqrt (cos x)))) (pow x 3/2) (/ x (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) x (/ x (+ (sqrt 1.0) (sqrt (cos x)))) x x (* x x) (* x (/ x (- (pow 1.0 3) (pow (cos x) 3)))) (* x (/ x (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (/ x (- 1.0 (cos x))) (cbrt x)) (/ (pow x 3/2) (- 1.0 (cos x))) (* x (/ x (- 1.0 (cos x)))) (* x x) (+ (* x (* x 1/2)) (+ (* 1/720 (pow x 6)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ 1/2 (+ (* 1/720 (pow x 4)) (* x (* x -1/24)))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (+ (* (pow x 3) 1/120) (+ (/ 2 x) (* x 1/6))) (/ x (- 1.0 (cos x))) (/ x (- 1.0 (cos x))) (+ 2 (+ (* x (* x 1/6)) (* (pow x 4) 1/120))) (* x (/ x (- 1.0 (cos x)))) (* x (/ x (- 1.0 (cos x)))) 0.998 * * * [progress]: adding candidates to table 1.111 * [progress]: [Phase 3 of 3] Extracting. 1.111 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.113 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.113 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # # #) 1.168 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 1.235 * * * [regime]: Found split indices: #