20.131 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.060 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.062 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.063 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.065 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.066 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.067 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.067 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.075 * * * [progress]: generating rewritten candidates 0.075 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.086 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.086 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (cos x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (cos x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.109 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.109 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.122 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.122 * [taylor]: Taking taylor expansion of -1 in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.122 * [taylor]: Taking taylor expansion of -1 in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.132 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.132 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (cos x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (cos x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.142 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.146 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.149 * * * [progress]: simplifying candidates 0.150 * [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))) (- (- 1.0 (cos x))) (- (* 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)))) (- (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)) (- (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)) 0.154 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.158 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.168 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.207 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.209 * [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))) (- (- 1.0 (cos x))) (- (* 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)) (- (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)) (- (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)) 0.210 * * * [progress]: adding candidates to table 0.304 * * [progress]: iteration 2 / 4 0.304 * * * [progress]: picking best candidate 0.321 * * * * [pick]: Picked # 0.321 * * * [progress]: localizing error 0.331 * * * [progress]: generating rewritten candidates 0.331 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.338 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.343 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.350 * * * [progress]: generating series expansions 0.350 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.350 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.350 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.350 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.350 * [taylor]: Taking taylor expansion of 1/720 in x 0.350 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1/2 in x 0.350 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of 1/24 in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.350 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.350 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.350 * [taylor]: Taking taylor expansion of 1/720 in x 0.350 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1/2 in x 0.350 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of 1/24 in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.362 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.362 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.362 * [taylor]: Taking taylor expansion of 1/720 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1/2 in x 0.363 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.363 * [taylor]: Taking taylor expansion of 1/24 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.363 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.363 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.363 * [taylor]: Taking taylor expansion of 1/720 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 1/2 in x 0.364 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.364 * [taylor]: Taking taylor expansion of 1/24 in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.379 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.379 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.379 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.379 * [taylor]: Taking taylor expansion of 1/720 in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of 1/2 in x 0.380 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.380 * [taylor]: Taking taylor expansion of 1/24 in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.380 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.380 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.380 * [taylor]: Taking taylor expansion of 1/720 in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 1/2 in x 0.381 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.381 * [taylor]: Taking taylor expansion of 1/24 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.396 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.396 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.396 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of 1/24 in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of 1/24 in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.404 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.404 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of 1/24 in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of 1/24 in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.412 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.412 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of 1/24 in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of 1/24 in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.420 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.420 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.420 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.420 * [taylor]: Taking taylor expansion of 1/720 in x 0.420 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.420 * [taylor]: Taking taylor expansion of 1/720 in x 0.420 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.431 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.431 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.431 * [taylor]: Taking taylor expansion of 1/720 in x 0.431 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.432 * [taylor]: Taking taylor expansion of 1/720 in x 0.432 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.448 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.448 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.448 * [taylor]: Taking taylor expansion of 1/720 in x 0.448 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.449 * [taylor]: Taking taylor expansion of 1/720 in x 0.449 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.459 * * * [progress]: simplifying candidates 0.460 * [simplify]: Simplifying using # : (/ (* (exp (* 1/720 (pow x 4))) (exp 1/2)) (exp (* 1/24 (pow x 2)))) (/ (exp (+ (* 1/720 (pow x 4)) 1/2)) (exp (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (* (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (+ (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (- (* 1/24 (pow x 2))) (- (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2)))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (log (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 (pow (sqrt x) 2)) (* 1/24 (pow 1 2)) (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (sqrt (pow x 2))) (* 1/24 1) (* 1/24 (pow x (/ 2 2))) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (log (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (* (* (* 1/720 1/720) 1/720) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (* (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x (/ 4 2))) (* (sqrt 1/720) (pow x (/ 4 2))) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow (sqrt x) 4)) (* 1/720 (pow 1 4)) (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) (* 1/720 1) (* 1/720 (pow x (/ 4 2))) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.465 * * [simplify]: iteration 0 : 268 enodes (cost 347 ) 0.471 * * [simplify]: iteration 1 : 1132 enodes (cost 316 ) 0.496 * * [simplify]: iteration 2 : 5001 enodes (cost 310 ) 0.499 * [simplify]: Simplified to: (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (pow (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (- (* 1/24 (pow x 2))) (+ (* (- 1/576) (pow x 4)) (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* x 1/24) 1/24 (* x 1/24) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* x 1/24) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow x 2)) 1/720 (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) 1/720 (* 1/720 (pow x 2)) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.499 * * * [progress]: adding candidates to table 0.613 * * [progress]: iteration 3 / 4 0.613 * * * [progress]: picking best candidate 0.628 * * * * [pick]: Picked # 0.628 * * * [progress]: localizing error 0.634 * * * [progress]: generating rewritten candidates 0.634 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.643 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.647 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.653 * * * [progress]: generating series expansions 0.653 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.653 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in (x) around 0 0.653 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 0.653 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 0.654 * [taylor]: Taking taylor expansion of (cos x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 0.655 * [taylor]: Taking taylor expansion of (cos x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.682 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in (x) around 0 0.682 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 0.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 0.683 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.706 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 0.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.706 * [taylor]: Taking taylor expansion of -1 in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 0.707 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.707 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.707 * [taylor]: Taking taylor expansion of -1 in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.726 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.726 * [approximate]: Taking taylor expansion of (/ (cos x) (pow x 2)) in (x) around 0 0.726 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 0.726 * [taylor]: Taking taylor expansion of (cos x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 0.727 * [taylor]: Taking taylor expansion of (cos x) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.735 * [approximate]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in (x) around 0 0.735 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.744 * [approximate]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in (x) around 0 0.744 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 0.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.744 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.744 * [taylor]: Taking taylor expansion of -1 in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 0.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.745 * [taylor]: Taking taylor expansion of -1 in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.754 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.754 * [approximate]: Taking taylor expansion of (/ 1.0 (pow x 2)) in (x) around 0 0.754 * [taylor]: Taking taylor expansion of (/ 1.0 (pow x 2)) in x 0.754 * [taylor]: Taking taylor expansion of 1.0 in x 0.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (/ 1.0 (pow x 2)) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.762 * [approximate]: Taking taylor expansion of (* 1.0 (pow x 2)) in (x) around 0 0.762 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.762 * [taylor]: Taking taylor expansion of 1.0 in x 0.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.774 * [approximate]: Taking taylor expansion of (* 1.0 (pow x 2)) in (x) around 0 0.774 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.782 * * * [progress]: simplifying candidates 0.783 * [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))))) (- (/ (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)) (- (/ (cos x) (* x 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))) (- (cos x)) (- (* 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))) (- 1.0) (- (* 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)) 0.787 * * [simplify]: iteration 0 : 269 enodes (cost 413 ) 0.792 * * [simplify]: iteration 1 : 885 enodes (cost 365 ) 0.804 * * [simplify]: iteration 2 : 3007 enodes (cost 362 ) 0.845 * * [simplify]: iteration 3 : 5001 enodes (cost 362 ) 0.847 * [simplify]: Simplified to: (exp (/ (- 1.0 (cos x)) (pow x 2))) (- (log (- 1.0 (cos x))) (log (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (* (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)))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (- 1.0 (cos x)) (* (pow x 2) (- 1.0 (cos x))) (pow x 4) (- (pow (/ 1.0 (* x x)) 3) (pow (/ (cos x) (* x x)) 3)) (+ (* (/ 1.0 (* (* x x) x)) (+ (/ 1.0 x) (/ (cos x) x))) (/ (cos x) (/ (pow x 4) (cos x)))) (- (/ (cos x) (* x x))) (* (+ (/ 1.0 (* x x)) (/ (cos x) (* x x))) (/ (- 1.0 (cos x)) (pow x 2))) (+ (/ 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 (cos x)) x) (/ (- 1.0 (cos x)) (pow x 2)) (- 1.0 (cos x)) (- (/ (cos x) (* x x))) (log (/ (cos x) (* x x))) (log (/ (cos x) (* x x))) (log (/ (cos x) (* x x))) (exp (/ (cos x) (* x x))) (pow (/ (cos x) (* x x)) 3) (pow (/ (cos x) (* x x)) 3) (* (cbrt (/ (cos x) (* x x))) (cbrt (/ (cos x) (* x x)))) (cbrt (/ (cos x) (* x x))) (pow (/ (cos x) (* x x)) 3) (sqrt (/ (cos x) (* x x))) (sqrt (/ (cos x) (* x x))) (- (cos x)) (- (* 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 (* x x))) (log (/ 1.0 (* x x))) (log (/ 1.0 (* x x))) (exp (/ 1.0 (* x x))) (pow (/ 1.0 (* x x)) 3) (pow (/ 1.0 (* x x)) 3) (* (cbrt (/ 1.0 (* x x))) (cbrt (/ 1.0 (* x x)))) (cbrt (/ 1.0 (* x x))) (pow (/ 1.0 (* x x)) 3) (sqrt (/ 1.0 (* x x))) (sqrt (/ 1.0 (* x x))) (- 1.0) (- (* 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) (* x x)) (/ (cos x) (* x x)) (/ 1.0 (* x x)) (/ 1.0 (* x x)) (/ 1.0 (* x x)) 0.848 * * * [progress]: adding candidates to table 0.950 * * [progress]: iteration 4 / 4 0.950 * * * [progress]: picking best candidate 0.965 * * * * [pick]: Picked # 0.965 * * * [progress]: localizing error 0.979 * * * [progress]: generating rewritten candidates 0.979 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.988 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.998 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.006 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.017 * * * [progress]: generating series expansions 1.017 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.018 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in (x) around 0 1.018 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 1.018 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.019 * [taylor]: Taking taylor expansion of (cos x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 1.019 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.020 * [taylor]: Taking taylor expansion of (cos x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.047 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in (x) around 0 1.047 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 1.047 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 1.048 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.072 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in (x) around 0 1.072 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 1.072 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.072 * [taylor]: Taking taylor expansion of -1 in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 1.073 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.073 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.073 * [taylor]: Taking taylor expansion of -1 in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.092 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.092 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in (x) around 0 1.092 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 1.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.093 * [taylor]: Taking taylor expansion of (cos x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 1.094 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.094 * [taylor]: Taking taylor expansion of (cos x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.121 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in (x) around 0 1.121 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 1.122 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 1.122 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.147 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in (x) around 0 1.147 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 1.147 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.147 * [taylor]: Taking taylor expansion of -1 in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 1.147 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.147 * [taylor]: Taking taylor expansion of -1 in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.167 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.167 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2)))) in (x) around 0 1.167 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2)))) in x 1.167 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 1.167 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 1.167 * [taylor]: Taking taylor expansion of 1.0 in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.167 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.167 * [taylor]: Taking taylor expansion of (cos x) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2)))) in x 1.179 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 1.179 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 1.179 * [taylor]: Taking taylor expansion of 1.0 in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.179 * [taylor]: Taking taylor expansion of (cos x) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.228 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x))))) in (x) around 0 1.229 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x))))) in x 1.229 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 1.229 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.229 * [taylor]: Taking taylor expansion of 1.0 in x 1.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x))))) in x 1.232 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 1.232 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.232 * [taylor]: Taking taylor expansion of 1.0 in x 1.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.255 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x))))) in (x) around 0 1.255 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x))))) in x 1.255 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 1.255 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.255 * [taylor]: Taking taylor expansion of -1 in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x))))) in x 1.258 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 1.258 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.258 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.259 * [taylor]: Taking taylor expansion of -1 in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.281 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.281 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2)))) in (x) around 0 1.281 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2)))) in x 1.281 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 1.281 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.281 * [taylor]: Taking taylor expansion of (cos x) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2)))) in x 1.299 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow x 2))) (/ (cos x) (pow x 2))) in x 1.299 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 2))) in x 1.299 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (/ (cos x) (pow x 2)) in x 1.299 * [taylor]: Taking taylor expansion of (cos x) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.343 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x))))) in (x) around 0 1.343 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x))))) in x 1.343 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 1.343 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x))))) in x 1.346 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ 1 x)))) in x 1.346 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ 1 x))) in x 1.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.374 * [approximate]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x))))) in (x) around 0 1.374 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x))))) in x 1.374 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 1.374 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.374 * [taylor]: Taking taylor expansion of -1 in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (sqrt (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x))))) in x 1.378 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 2)) (* (pow x 2) (cos (/ -1 x)))) in x 1.378 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 2)) in x 1.378 * [taylor]: Taking taylor expansion of 1.0 in x 1.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.378 * [taylor]: Taking taylor expansion of (* (pow x 2) (cos (/ -1 x))) in x 1.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.378 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.378 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.378 * [taylor]: Taking taylor expansion of -1 in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.400 * * * [progress]: simplifying candidates 1.402 * [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))))) (- (/ (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)) (- (/ (cos x) (* x x))) (/ (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))))) (- (/ (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)) (- (/ (cos x) (* x x))) (log (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (exp (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (* (cbrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (cbrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))))) (cbrt (sqrt (- (/ 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))))) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (* (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))))) (sqrt (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt 1) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (+ (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x))))) (sqrt (- (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x))))) (sqrt (+ (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x))) (sqrt (- (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x))) (sqrt (+ (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x))))) (sqrt (- (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x))))) (sqrt (+ (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x))) (sqrt (- (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x))) (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt 1) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (/ 1 (* x x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (* x x)) (sqrt (- (* 1.0 (* x x)) (* (* x x) (cos x)))) (sqrt (* (* x x) (* x x))) (sqrt (- (pow (/ 1.0 (* x x)) 3) (pow (/ (cos x) (* x x)) 3))) (sqrt (+ (* (/ 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)) (/ 1.0 (* x x))) (* (/ (cos x) (* x x)) (/ (cos x) (* x x))))) (sqrt (+ (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (/ 1 2) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (log (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (exp (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (* (cbrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (cbrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))))) (cbrt (sqrt (- (/ 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))))) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (* (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))))) (sqrt (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt 1) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (+ (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x))))) (sqrt (- (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x))))) (sqrt (+ (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x))) (sqrt (- (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x))) (sqrt (+ (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x))))) (sqrt (- (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x))))) (sqrt (+ (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x))) (sqrt (- (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x))) (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt 1) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (/ 1 (* x x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (* x x)) (sqrt (- (* 1.0 (* x x)) (* (* x x) (cos x)))) (sqrt (* (* x x) (* x x))) (sqrt (- (pow (/ 1.0 (* x x)) 3) (pow (/ (cos x) (* x x)) 3))) (sqrt (+ (* (/ 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)) (/ 1.0 (* x x))) (* (/ (cos x) (* x x)) (/ (cos x) (* x x))))) (sqrt (+ (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (/ 1 2) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* 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)) (- (+ (* 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)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* -1 (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* -1 (* (sqrt (- 1.0 (cos x))) (/ 1 x))) 1.408 * * [simplify]: iteration 0 : 235 enodes (cost 1010 ) 1.412 * * [simplify]: iteration 1 : 767 enodes (cost 946 ) 1.425 * * [simplify]: iteration 2 : 2937 enodes (cost 938 ) 1.475 * * [simplify]: iteration 3 : 5001 enodes (cost 934 ) 1.480 * [simplify]: Simplified to: (exp (/ (- 1.0 (cos x)) (pow x 2))) (- (log (- 1.0 (cos x))) (log (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (* (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)))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (- 1.0 (cos x)) (* (pow x 2) (- 1.0 (cos x))) (pow x 4) (- (pow (/ 1.0 (* x x)) 3) (pow (/ (cos x) (* x x)) 3)) (+ (/ (* (cos x) (cos x)) (pow x 4)) (* (/ (/ 1.0 (* x x)) x) (+ (/ 1.0 x) (/ (cos x) x)))) (- (/ (cos x) (* x x))) (/ (* (+ (/ 1.0 (* x x)) (/ (cos x) (* x x))) (- 1.0 (cos x))) (pow x 2)) (+ (/ 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 (cos x)) x) (/ (- 1.0 (cos x)) (pow x 2)) (- 1.0 (cos x)) (- (/ (cos x) (* x x))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (- (log (- 1.0 (cos x))) (log (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (* (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)))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (- 1.0 (cos x)) (* (pow x 2) (- 1.0 (cos x))) (pow x 4) (- (pow (/ 1.0 (* x x)) 3) (pow (/ (cos x) (* x x)) 3)) (+ (/ (* (cos x) (cos x)) (pow x 4)) (* (/ (/ 1.0 (* x x)) x) (+ (/ 1.0 x) (/ (cos x) x)))) (- (/ (cos x) (* x x))) (/ (* (+ (/ 1.0 (* x x)) (/ (cos x) (* x x))) (- 1.0 (cos x))) (pow x 2)) (+ (/ 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 (cos x)) x) (/ (- 1.0 (cos x)) (pow x 2)) (- 1.0 (cos x)) (- (/ (cos x) (* x x))) (log (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (exp (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (* (cbrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (cbrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))))) (cbrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (pow (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) 3) (fabs (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) 1 (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (+ (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x))))) (sqrt (- (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x))))) (sqrt (+ (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x))) (sqrt (- (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x))) (sqrt (+ (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x))))) (sqrt (- (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x))))) (sqrt (+ (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x))) (sqrt (- (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x))) (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x))) 1 (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (/ 1 (* x x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (fabs x) (sqrt (- (* 1.0 (* x x)) (* (* x x) (cos x)))) (fabs (pow x 2)) (sqrt (- (pow (/ 1.0 (* x x)) 3) (pow (/ (cos x) (* x x)) 3))) (sqrt (+ (* (/ 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)) (/ 1.0 (* x x))) (* (/ (cos x) (* x x)) (/ (cos x) (* x x))))) (sqrt (+ (/ 1.0 (* x x)) (/ (cos x) (* x x)))) 1/2 (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (log (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (exp (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (* (cbrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (cbrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))))) (cbrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (pow (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) 3) (fabs (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (cbrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) 1 (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (+ (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x))))) (sqrt (- (sqrt (/ 1.0 (* x x))) (sqrt (/ (cos x) (* x x))))) (sqrt (+ (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x))) (sqrt (- (sqrt (/ 1.0 (* x x))) (/ (sqrt (cos x)) x))) (sqrt (+ (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x))))) (sqrt (- (/ (sqrt 1.0) x) (sqrt (/ (cos x) (* x x))))) (sqrt (+ (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x))) (sqrt (- (/ (sqrt 1.0) x) (/ (sqrt (cos x)) x))) (sqrt (/ 1 x)) (sqrt (- (/ 1.0 x) (/ (cos x) x))) 1 (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x)))) (sqrt (/ 1 (* x x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (fabs x) (sqrt (- (* 1.0 (* x x)) (* (* x x) (cos x)))) (fabs (pow x 2)) (sqrt (- (pow (/ 1.0 (* x x)) 3) (pow (/ (cos x) (* x x)) 3))) (sqrt (+ (* (/ 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)) (/ 1.0 (* x x))) (* (/ (cos x) (* x x)) (/ (cos x) (* x x))))) (sqrt (+ (/ 1.0 (* x x)) (/ (cos x) (* x x)))) 1/2 (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* x x))))) (sqrt (sqrt (- (/ 1.0 (* x x)) (/ (cos x) (* 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)) (- (+ (* 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)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (- (sqrt (- 1.0 (cos x)))) x) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (- (sqrt (- 1.0 (cos x)))) x) 1.481 * * * [progress]: adding candidates to table 1.744 * [progress]: [Phase 3 of 3] Extracting. 1.744 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.746 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.746 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # # #) 1.788 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 1.843 * * * [regime]: Found split indices: #