19.830 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.061 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.062 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.063 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.064 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.066 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.066 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.066 * * [progress]: iteration 1 / 4 0.066 * * * [progress]: picking best candidate 0.068 * * * * [pick]: Picked # 0.068 * * * [progress]: localizing error 0.074 * * * [progress]: generating rewritten candidates 0.074 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.081 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.084 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.084 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (cos x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (cos x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.103 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.103 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.117 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.117 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.117 * [taylor]: Taking taylor expansion of -1 in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.118 * [taylor]: Taking taylor expansion of -1 in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.128 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.128 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (cos x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (cos x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.138 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.139 * [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 -1 in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.146 * * * [progress]: simplifying candidates 0.147 * [simplify]: Simplifying using # : (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 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)) (- (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)) 0.149 * * [simplify]: iteration 0 : 124 enodes (cost 81 ) 0.152 * * [simplify]: iteration 1 : 396 enodes (cost 81 ) 0.158 * * [simplify]: iteration 2 : 1050 enodes (cost 81 ) 0.181 * * [simplify]: iteration 3 : 4200 enodes (cost 80 ) 0.302 * * [simplify]: iteration 4 : 5001 enodes (cost 80 ) 0.302 * [simplify]: Simplified to: (- (cos x) 1.0) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (pow x 2)) (* (* x x) (+ 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)) (- (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)) 0.303 * * * [progress]: adding candidates to table 0.341 * * [progress]: iteration 2 / 4 0.341 * * * [progress]: picking best candidate 0.353 * * * * [pick]: Picked # 0.353 * * * [progress]: localizing error 0.362 * * * [progress]: generating rewritten candidates 0.362 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.367 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.370 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.373 * * * [progress]: generating series expansions 0.373 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.373 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.373 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.373 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.373 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.373 * [taylor]: Taking taylor expansion of 1/720 in x 0.373 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of 1/2 in x 0.373 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of 1/24 in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.373 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.373 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.373 * [taylor]: Taking taylor expansion of 1/720 in x 0.373 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of 1/2 in x 0.373 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of 1/24 in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.380 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 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 0.382 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.382 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.382 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.382 * [taylor]: Taking taylor expansion of 1/720 in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of 1/2 in x 0.383 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.383 * [taylor]: Taking taylor expansion of 1/24 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.401 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.401 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.401 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.401 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.401 * [taylor]: Taking taylor expansion of 1/720 in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of 1/2 in x 0.402 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.402 * [taylor]: Taking taylor expansion of 1/24 in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.402 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.402 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.403 * [taylor]: Taking taylor expansion of 1/720 in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of 1/2 in x 0.403 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.403 * [taylor]: Taking taylor expansion of 1/24 in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.419 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.419 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.419 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of 1/24 in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of 1/24 in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.427 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of 1/24 in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of 1/24 in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.435 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of 1/24 in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of 1/24 in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.443 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.443 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.443 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.443 * [taylor]: Taking taylor expansion of 1/720 in x 0.443 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.443 * [taylor]: Taking taylor expansion of 1/720 in x 0.444 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.455 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.456 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.456 * [taylor]: Taking taylor expansion of 1/720 in x 0.456 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.456 * [taylor]: Taking taylor expansion of 1/720 in x 0.456 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.470 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.470 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.470 * [taylor]: Taking taylor expansion of 1/720 in x 0.470 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.471 * [taylor]: Taking taylor expansion of 1/720 in x 0.471 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.482 * * * [progress]: simplifying candidates 0.483 * [simplify]: Simplifying using # : (- (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))) (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (* 1/24 x) (* 1/24 (pow x (/ 2 2))) (* 1/720 (pow x (/ 4 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))) (* 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)) 0.485 * * [simplify]: iteration 0 : 94 enodes (cost 92 ) 0.488 * * [simplify]: iteration 1 : 353 enodes (cost 90 ) 0.496 * * [simplify]: iteration 2 : 1717 enodes (cost 86 ) 0.557 * * [simplify]: iteration 3 : 5001 enodes (cost 86 ) 0.558 * [simplify]: Simplified to: (- (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))) (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (* x 1/24) (* x 1/24) (* 1/720 (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))) (* 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)) 0.558 * * * [progress]: adding candidates to table 0.584 * * [progress]: iteration 3 / 4 0.584 * * * [progress]: picking best candidate 0.597 * * * * [pick]: Picked # 0.597 * * * [progress]: localizing error 0.618 * * * [progress]: generating rewritten candidates 0.618 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.640 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.648 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.651 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.654 * * * [progress]: generating series expansions 0.654 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.656 * [approximate]: Taking taylor expansion of (/ (- (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) (* 1/13824 (pow x 6))) (+ (* 1/518400 (pow x 8)) (+ (* 1/48 (pow x 2)) (+ (* 1/17280 (pow x 6)) (+ (* 1/320 (pow x 4)) 1/4))))) in (x) around 0 0.656 * [taylor]: Taking taylor expansion of (/ (- (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) (* 1/13824 (pow x 6))) (+ (* 1/518400 (pow x 8)) (+ (* 1/48 (pow x 2)) (+ (* 1/17280 (pow x 6)) (+ (* 1/320 (pow x 4)) 1/4))))) in x 0.656 * [taylor]: Taking taylor expansion of (- (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) (* 1/13824 (pow x 6))) in x 0.656 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) in x 0.656 * [taylor]: Taking taylor expansion of (* 1/345600 (pow x 8)) in x 0.656 * [taylor]: Taking taylor expansion of 1/345600 in x 0.656 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8)) in x 0.656 * [taylor]: Taking taylor expansion of (* 1/960 (pow x 4)) in x 0.656 * [taylor]: Taking taylor expansion of 1/960 in x 0.656 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (+ (* 1/373248000 (pow x 12)) 1/8) in x 0.656 * [taylor]: Taking taylor expansion of (* 1/373248000 (pow x 12)) in x 0.656 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.656 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of 1/8 in x 0.656 * [taylor]: Taking taylor expansion of (* 1/13824 (pow x 6)) in x 0.656 * [taylor]: Taking taylor expansion of 1/13824 in x 0.656 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (+ (* 1/518400 (pow x 8)) (+ (* 1/48 (pow x 2)) (+ (* 1/17280 (pow x 6)) (+ (* 1/320 (pow x 4)) 1/4)))) in x 0.656 * [taylor]: Taking taylor expansion of (* 1/518400 (pow x 8)) in x 0.656 * [taylor]: Taking taylor expansion of 1/518400 in x 0.656 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (+ (* 1/48 (pow x 2)) (+ (* 1/17280 (pow x 6)) (+ (* 1/320 (pow x 4)) 1/4))) in x 0.656 * [taylor]: Taking taylor expansion of (* 1/48 (pow x 2)) in x 0.656 * [taylor]: Taking taylor expansion of 1/48 in x 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (+ (* 1/17280 (pow x 6)) (+ (* 1/320 (pow x 4)) 1/4)) in x 0.656 * [taylor]: Taking taylor expansion of (* 1/17280 (pow x 6)) in x 0.656 * [taylor]: Taking taylor expansion of 1/17280 in x 0.656 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (+ (* 1/320 (pow x 4)) 1/4) in x 0.656 * [taylor]: Taking taylor expansion of (* 1/320 (pow x 4)) in x 0.656 * [taylor]: Taking taylor expansion of 1/320 in x 0.656 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of 1/4 in x 0.659 * [taylor]: Taking taylor expansion of (/ (- (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) (* 1/13824 (pow x 6))) (+ (* 1/518400 (pow x 8)) (+ (* 1/48 (pow x 2)) (+ (* 1/17280 (pow x 6)) (+ (* 1/320 (pow x 4)) 1/4))))) in x 0.659 * [taylor]: Taking taylor expansion of (- (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) (* 1/13824 (pow x 6))) in x 0.659 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) in x 0.659 * [taylor]: Taking taylor expansion of (* 1/345600 (pow x 8)) in x 0.659 * [taylor]: Taking taylor expansion of 1/345600 in x 0.659 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8)) in x 0.660 * [taylor]: Taking taylor expansion of (* 1/960 (pow x 4)) in x 0.660 * [taylor]: Taking taylor expansion of 1/960 in x 0.660 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (+ (* 1/373248000 (pow x 12)) 1/8) in x 0.660 * [taylor]: Taking taylor expansion of (* 1/373248000 (pow x 12)) in x 0.660 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.660 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of 1/8 in x 0.660 * [taylor]: Taking taylor expansion of (* 1/13824 (pow x 6)) in x 0.660 * [taylor]: Taking taylor expansion of 1/13824 in x 0.660 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (+ (* 1/518400 (pow x 8)) (+ (* 1/48 (pow x 2)) (+ (* 1/17280 (pow x 6)) (+ (* 1/320 (pow x 4)) 1/4)))) in x 0.660 * [taylor]: Taking taylor expansion of (* 1/518400 (pow x 8)) in x 0.660 * [taylor]: Taking taylor expansion of 1/518400 in x 0.660 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (+ (* 1/48 (pow x 2)) (+ (* 1/17280 (pow x 6)) (+ (* 1/320 (pow x 4)) 1/4))) in x 0.660 * [taylor]: Taking taylor expansion of (* 1/48 (pow x 2)) in x 0.660 * [taylor]: Taking taylor expansion of 1/48 in x 0.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (+ (* 1/17280 (pow x 6)) (+ (* 1/320 (pow x 4)) 1/4)) in x 0.660 * [taylor]: Taking taylor expansion of (* 1/17280 (pow x 6)) in x 0.660 * [taylor]: Taking taylor expansion of 1/17280 in x 0.660 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (+ (* 1/320 (pow x 4)) 1/4) in x 0.660 * [taylor]: Taking taylor expansion of (* 1/320 (pow x 4)) in x 0.660 * [taylor]: Taking taylor expansion of 1/320 in x 0.660 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of 1/4 in x 0.679 * [approximate]: Taking taylor expansion of (/ (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) (+ (* 1/17280 (/ 1 (pow x 6))) (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4))))) in (x) around 0 0.679 * [taylor]: Taking taylor expansion of (/ (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) (+ (* 1/17280 (/ 1 (pow x 6))) (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4))))) in x 0.679 * [taylor]: Taking taylor expansion of (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) in x 0.679 * [taylor]: Taking taylor expansion of (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) in x 0.679 * [taylor]: Taking taylor expansion of 1/8 in x 0.679 * [taylor]: Taking taylor expansion of (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12))))) in x 0.679 * [taylor]: Taking taylor expansion of (* 1/960 (/ 1 (pow x 4))) in x 0.679 * [taylor]: Taking taylor expansion of 1/960 in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.679 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))) in x 0.680 * [taylor]: Taking taylor expansion of (* 1/345600 (/ 1 (pow x 8))) in x 0.680 * [taylor]: Taking taylor expansion of 1/345600 in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.680 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (* 1/373248000 (/ 1 (pow x 12))) in x 0.681 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 12)) in x 0.681 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (* 1/13824 (/ 1 (pow x 6))) in x 0.682 * [taylor]: Taking taylor expansion of 1/13824 in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.682 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (+ (* 1/17280 (/ 1 (pow x 6))) (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4)))) in x 0.683 * [taylor]: Taking taylor expansion of (* 1/17280 (/ 1 (pow x 6))) in x 0.683 * [taylor]: Taking taylor expansion of 1/17280 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.683 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4))) in x 0.684 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow x 2))) in x 0.684 * [taylor]: Taking taylor expansion of 1/48 in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4)) in x 0.685 * [taylor]: Taking taylor expansion of (* 1/320 (/ 1 (pow x 4))) in x 0.685 * [taylor]: Taking taylor expansion of 1/320 in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.685 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (+ (* 1/518400 (/ 1 (pow x 8))) 1/4) in x 0.686 * [taylor]: Taking taylor expansion of (* 1/518400 (/ 1 (pow x 8))) in x 0.686 * [taylor]: Taking taylor expansion of 1/518400 in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.686 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of 1/4 in x 0.690 * [taylor]: Taking taylor expansion of (/ (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) (+ (* 1/17280 (/ 1 (pow x 6))) (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4))))) in x 0.690 * [taylor]: Taking taylor expansion of (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) in x 0.690 * [taylor]: Taking taylor expansion of (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) in x 0.690 * [taylor]: Taking taylor expansion of 1/8 in x 0.690 * [taylor]: Taking taylor expansion of (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12))))) in x 0.690 * [taylor]: Taking taylor expansion of (* 1/960 (/ 1 (pow x 4))) in x 0.690 * [taylor]: Taking taylor expansion of 1/960 in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))) in x 0.691 * [taylor]: Taking taylor expansion of (* 1/345600 (/ 1 (pow x 8))) in x 0.691 * [taylor]: Taking taylor expansion of 1/345600 in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.691 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (* 1/373248000 (/ 1 (pow x 12))) in x 0.692 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 12)) in x 0.692 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* 1/13824 (/ 1 (pow x 6))) in x 0.693 * [taylor]: Taking taylor expansion of 1/13824 in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (+ (* 1/17280 (/ 1 (pow x 6))) (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4)))) in x 0.694 * [taylor]: Taking taylor expansion of (* 1/17280 (/ 1 (pow x 6))) in x 0.694 * [taylor]: Taking taylor expansion of 1/17280 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4))) in x 0.695 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow x 2))) in x 0.695 * [taylor]: Taking taylor expansion of 1/48 in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4)) in x 0.696 * [taylor]: Taking taylor expansion of (* 1/320 (/ 1 (pow x 4))) in x 0.696 * [taylor]: Taking taylor expansion of 1/320 in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (+ (* 1/518400 (/ 1 (pow x 8))) 1/4) in x 0.696 * [taylor]: Taking taylor expansion of (* 1/518400 (/ 1 (pow x 8))) in x 0.696 * [taylor]: Taking taylor expansion of 1/518400 in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of 1/4 in x 0.744 * [approximate]: Taking taylor expansion of (/ (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) (+ (* 1/17280 (/ 1 (pow x 6))) (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4))))) in (x) around 0 0.744 * [taylor]: Taking taylor expansion of (/ (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) (+ (* 1/17280 (/ 1 (pow x 6))) (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4))))) in x 0.744 * [taylor]: Taking taylor expansion of (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) in x 0.744 * [taylor]: Taking taylor expansion of (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) in x 0.744 * [taylor]: Taking taylor expansion of 1/8 in x 0.744 * [taylor]: Taking taylor expansion of (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12))))) in x 0.744 * [taylor]: Taking taylor expansion of (* 1/960 (/ 1 (pow x 4))) in x 0.744 * [taylor]: Taking taylor expansion of 1/960 in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.744 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))) in x 0.745 * [taylor]: Taking taylor expansion of (* 1/345600 (/ 1 (pow x 8))) in x 0.745 * [taylor]: Taking taylor expansion of 1/345600 in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.745 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (* 1/373248000 (/ 1 (pow x 12))) in x 0.746 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 12)) in x 0.746 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (* 1/13824 (/ 1 (pow x 6))) in x 0.748 * [taylor]: Taking taylor expansion of 1/13824 in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.748 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (+ (* 1/17280 (/ 1 (pow x 6))) (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4)))) in x 0.749 * [taylor]: Taking taylor expansion of (* 1/17280 (/ 1 (pow x 6))) in x 0.749 * [taylor]: Taking taylor expansion of 1/17280 in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.749 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4))) in x 0.750 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow x 2))) in x 0.750 * [taylor]: Taking taylor expansion of 1/48 in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4)) in x 0.750 * [taylor]: Taking taylor expansion of (* 1/320 (/ 1 (pow x 4))) in x 0.750 * [taylor]: Taking taylor expansion of 1/320 in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.750 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (+ (* 1/518400 (/ 1 (pow x 8))) 1/4) in x 0.751 * [taylor]: Taking taylor expansion of (* 1/518400 (/ 1 (pow x 8))) in x 0.751 * [taylor]: Taking taylor expansion of 1/518400 in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.751 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of 1/4 in x 0.755 * [taylor]: Taking taylor expansion of (/ (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) (+ (* 1/17280 (/ 1 (pow x 6))) (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4))))) in x 0.755 * [taylor]: Taking taylor expansion of (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) in x 0.755 * [taylor]: Taking taylor expansion of (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) in x 0.755 * [taylor]: Taking taylor expansion of 1/8 in x 0.755 * [taylor]: Taking taylor expansion of (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12))))) in x 0.755 * [taylor]: Taking taylor expansion of (* 1/960 (/ 1 (pow x 4))) in x 0.755 * [taylor]: Taking taylor expansion of 1/960 in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.755 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))) in x 0.756 * [taylor]: Taking taylor expansion of (* 1/345600 (/ 1 (pow x 8))) in x 0.756 * [taylor]: Taking taylor expansion of 1/345600 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.756 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (* 1/373248000 (/ 1 (pow x 12))) in x 0.757 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 12)) in x 0.757 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (* 1/13824 (/ 1 (pow x 6))) in x 0.758 * [taylor]: Taking taylor expansion of 1/13824 in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.758 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (+ (* 1/17280 (/ 1 (pow x 6))) (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4)))) in x 0.759 * [taylor]: Taking taylor expansion of (* 1/17280 (/ 1 (pow x 6))) in x 0.759 * [taylor]: Taking taylor expansion of 1/17280 in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.759 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (+ (* 1/48 (/ 1 (pow x 2))) (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4))) in x 0.760 * [taylor]: Taking taylor expansion of (* 1/48 (/ 1 (pow x 2))) in x 0.760 * [taylor]: Taking taylor expansion of 1/48 in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (+ (* 1/320 (/ 1 (pow x 4))) (+ (* 1/518400 (/ 1 (pow x 8))) 1/4)) in x 0.761 * [taylor]: Taking taylor expansion of (* 1/320 (/ 1 (pow x 4))) in x 0.761 * [taylor]: Taking taylor expansion of 1/320 in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.761 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of (+ (* 1/518400 (/ 1 (pow x 8))) 1/4) in x 0.762 * [taylor]: Taking taylor expansion of (* 1/518400 (/ 1 (pow x 8))) in x 0.762 * [taylor]: Taking taylor expansion of 1/518400 in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.762 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of 1/4 in x 0.808 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.808 * [approximate]: Taking taylor expansion of (- (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) (* 1/13824 (pow x 6))) in (x) around 0 0.808 * [taylor]: Taking taylor expansion of (- (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) (* 1/13824 (pow x 6))) in x 0.808 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) in x 0.808 * [taylor]: Taking taylor expansion of (* 1/345600 (pow x 8)) in x 0.808 * [taylor]: Taking taylor expansion of 1/345600 in x 0.808 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8)) in x 0.808 * [taylor]: Taking taylor expansion of (* 1/960 (pow x 4)) in x 0.808 * [taylor]: Taking taylor expansion of 1/960 in x 0.808 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (+ (* 1/373248000 (pow x 12)) 1/8) in x 0.809 * [taylor]: Taking taylor expansion of (* 1/373248000 (pow x 12)) in x 0.809 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.809 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of 1/8 in x 0.809 * [taylor]: Taking taylor expansion of (* 1/13824 (pow x 6)) in x 0.809 * [taylor]: Taking taylor expansion of 1/13824 in x 0.809 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (- (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) (* 1/13824 (pow x 6))) in x 0.809 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (pow x 8)) (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8))) in x 0.809 * [taylor]: Taking taylor expansion of (* 1/345600 (pow x 8)) in x 0.809 * [taylor]: Taking taylor expansion of 1/345600 in x 0.809 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (+ (* 1/960 (pow x 4)) (+ (* 1/373248000 (pow x 12)) 1/8)) in x 0.809 * [taylor]: Taking taylor expansion of (* 1/960 (pow x 4)) in x 0.809 * [taylor]: Taking taylor expansion of 1/960 in x 0.809 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (+ (* 1/373248000 (pow x 12)) 1/8) in x 0.809 * [taylor]: Taking taylor expansion of (* 1/373248000 (pow x 12)) in x 0.809 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.809 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of 1/8 in x 0.809 * [taylor]: Taking taylor expansion of (* 1/13824 (pow x 6)) in x 0.809 * [taylor]: Taking taylor expansion of 1/13824 in x 0.809 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.821 * [approximate]: Taking taylor expansion of (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) in (x) around 0 0.821 * [taylor]: Taking taylor expansion of (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) in x 0.821 * [taylor]: Taking taylor expansion of (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) in x 0.821 * [taylor]: Taking taylor expansion of 1/8 in x 0.821 * [taylor]: Taking taylor expansion of (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12))))) in x 0.822 * [taylor]: Taking taylor expansion of (* 1/960 (/ 1 (pow x 4))) in x 0.822 * [taylor]: Taking taylor expansion of 1/960 in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))) in x 0.822 * [taylor]: Taking taylor expansion of (* 1/345600 (/ 1 (pow x 8))) in x 0.822 * [taylor]: Taking taylor expansion of 1/345600 in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (* 1/373248000 (/ 1 (pow x 12))) in x 0.823 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 12)) in x 0.824 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (* 1/13824 (/ 1 (pow x 6))) in x 0.825 * [taylor]: Taking taylor expansion of 1/13824 in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) in x 0.826 * [taylor]: Taking taylor expansion of (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) in x 0.826 * [taylor]: Taking taylor expansion of 1/8 in x 0.826 * [taylor]: Taking taylor expansion of (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12))))) in x 0.826 * [taylor]: Taking taylor expansion of (* 1/960 (/ 1 (pow x 4))) in x 0.826 * [taylor]: Taking taylor expansion of 1/960 in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))) in x 0.827 * [taylor]: Taking taylor expansion of (* 1/345600 (/ 1 (pow x 8))) in x 0.827 * [taylor]: Taking taylor expansion of 1/345600 in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.827 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of (* 1/373248000 (/ 1 (pow x 12))) in x 0.828 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 12)) in x 0.828 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (* 1/13824 (/ 1 (pow x 6))) in x 0.829 * [taylor]: Taking taylor expansion of 1/13824 in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.829 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.864 * [approximate]: Taking taylor expansion of (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) in (x) around 0 0.864 * [taylor]: Taking taylor expansion of (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) in x 0.864 * [taylor]: Taking taylor expansion of (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) in x 0.864 * [taylor]: Taking taylor expansion of 1/8 in x 0.864 * [taylor]: Taking taylor expansion of (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12))))) in x 0.864 * [taylor]: Taking taylor expansion of (* 1/960 (/ 1 (pow x 4))) in x 0.864 * [taylor]: Taking taylor expansion of 1/960 in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.864 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))) in x 0.865 * [taylor]: Taking taylor expansion of (* 1/345600 (/ 1 (pow x 8))) in x 0.865 * [taylor]: Taking taylor expansion of 1/345600 in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.865 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (* 1/373248000 (/ 1 (pow x 12))) in x 0.866 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 12)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (* 1/13824 (/ 1 (pow x 6))) in x 0.867 * [taylor]: Taking taylor expansion of 1/13824 in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.868 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (- (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) (* 1/13824 (/ 1 (pow x 6)))) in x 0.871 * [taylor]: Taking taylor expansion of (+ 1/8 (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))))) in x 0.871 * [taylor]: Taking taylor expansion of 1/8 in x 0.871 * [taylor]: Taking taylor expansion of (+ (* 1/960 (/ 1 (pow x 4))) (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12))))) in x 0.871 * [taylor]: Taking taylor expansion of (* 1/960 (/ 1 (pow x 4))) in x 0.871 * [taylor]: Taking taylor expansion of 1/960 in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.871 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (+ (* 1/345600 (/ 1 (pow x 8))) (* 1/373248000 (/ 1 (pow x 12)))) in x 0.872 * [taylor]: Taking taylor expansion of (* 1/345600 (/ 1 (pow x 8))) in x 0.872 * [taylor]: Taking taylor expansion of 1/345600 in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.872 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (* 1/373248000 (/ 1 (pow x 12))) in x 0.873 * [taylor]: Taking taylor expansion of 1/373248000 in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow x 12)) in x 0.873 * [taylor]: Taking taylor expansion of (pow x 12) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (* 1/13824 (/ 1 (pow x 6))) in x 0.874 * [taylor]: Taking taylor expansion of 1/13824 in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 0.874 * [taylor]: Taking taylor expansion of (pow x 6) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.909 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.909 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.909 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.909 * [taylor]: Taking taylor expansion of 1/24 in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.909 * [taylor]: Taking taylor expansion of 1/24 in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.917 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.917 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.917 * [taylor]: Taking taylor expansion of 1/24 in x 0.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.918 * [taylor]: Taking taylor expansion of 1/24 in x 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.926 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.926 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.926 * [taylor]: Taking taylor expansion of 1/24 in x 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.926 * [taylor]: Taking taylor expansion of 1/24 in x 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.934 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.934 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.934 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.934 * [taylor]: Taking taylor expansion of 1/24 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 (* 1/24 (pow x 2)) in x 0.934 * [taylor]: Taking taylor expansion of 1/24 in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.942 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.942 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.942 * [taylor]: Taking taylor expansion of 1/24 in x 0.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.943 * [taylor]: Taking taylor expansion of 1/24 in x 0.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.953 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.953 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.953 * [taylor]: Taking taylor expansion of 1/24 in x 0.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.954 * [taylor]: Taking taylor expansion of 1/24 in x 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.961 * * * [progress]: simplifying candidates 0.962 * [simplify]: Simplifying using # : (- (- (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))) (/ (pow (+ (* 1/720 (pow x 4)) 1/2) 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))) (/ (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 (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576))) (/ (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (- (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)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (/ (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (- (pow (+ (* 1/720 (pow x 4)) 1/2) (/ 3 2)) (pow (* 1/24 (pow x 2)) (/ 3 2)))) (/ (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (pow (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) 3) (pow (* (pow x 4) 1/576) 3))) (/ (- (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)))) (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (* (* (pow x 4) 1/576) (* (pow x 4) 1/576)))) (* (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (+ (* (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (+ (* 1/720 (pow x 4)) 1/2) 3)) (+ (* (pow (* 1/24 (pow x 2)) 3) (pow (* 1/24 (pow x 2)) 3)) (* (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)) (+ (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))))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (pow (pow (+ (* 1/720 (pow x 4)) 1/2) 3) 3) (pow (pow (* 1/24 (pow x 2)) 3) 3)) (+ (* (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (+ (* 1/720 (pow x 4)) 1/2) 3)) (+ (* (pow (* 1/24 (pow x 2)) 3) (pow (* 1/24 (pow x 2)) 3)) (* (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)))) (- (pow (* 1/24 (pow x 2)) 3)) (- (* (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (+ (* 1/720 (pow x 4)) 1/2) 3)) (* (pow (* 1/24 (pow x 2)) 3) (pow (* 1/24 (pow x 2)) 3))) (+ (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (pow (+ (* 1/720 (pow x 4)) 1/2) (/ 3 2)) (pow (* 1/24 (pow x 2)) (/ 3 2))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) (/ 3 2)) (pow (* 1/24 (pow x 2)) (/ 3 2))) (- (pow (* 1/24 (pow x 2)) 3)) (* 1/24 x) (* 1/24 (pow x (/ 2 2))) (* 1/24 x) (* 1/24 (pow x (/ 2 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))) (- (+ (* 1/960 (pow x 4)) 1/8) (* 1/13824 (pow x 6))) (- (+ (* 1/345600 (pow x 8)) (* 1/373248000 (pow x 12))) (* 1/13824 (pow x 6))) (- (+ (* 1/345600 (pow x 8)) (* 1/373248000 (pow x 12))) (* 1/13824 (pow x 6))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 0.967 * * [simplify]: iteration 0 : 236 enodes (cost 396 ) 0.972 * * [simplify]: iteration 1 : 1010 enodes (cost 392 ) 0.997 * * [simplify]: iteration 2 : 5002 enodes (cost 392 ) 1.000 * [simplify]: Simplified to: (- (- (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))) (/ (pow (+ (* 1/720 (pow x 4)) 1/2) 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))) (/ (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 (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576))) (/ (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (- (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)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (/ (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3/2) (pow (* 1/24 (pow x 2)) 3/2))) (/ (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (pow (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) 3) (pow (* (pow x 4) 1/576) 3))) (/ (- (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)))) (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (* (* (pow x 4) 1/576) (* (pow x 4) 1/576)))) (* (+ (+ (pow (+ (* 1/720 (pow x 4)) 1/2) 6) (pow (* 1/24 (pow x 2)) 6)) (* (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))) (* (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (+ (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)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (pow (pow (+ (* 1/720 (pow x 4)) 1/2) 3) 3) (pow (pow (* 1/24 (pow x 2)) 3) 3)) (+ (+ (pow (+ (* 1/720 (pow x 4)) 1/2) 6) (pow (* 1/24 (pow x 2)) 6)) (* (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3))) (- (pow (* 1/24 (pow x 2)) 3)) (+ (pow (+ (* 1/720 (pow x 4)) 1/2) 6) (- (pow (* 1/24 (pow x 2)) 6))) (+ (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (pow (+ (* 1/720 (pow x 4)) 1/2) 3/2) (pow (* 1/24 (pow x 2)) 3/2)) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3/2) (pow (* 1/24 (pow x 2)) 3/2)) (- (pow (* 1/24 (pow x 2)) 3)) (* x 1/24) (* x 1/24) (* x 1/24) (* x 1/24) (- (+ (* 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))) (- (+ (* 1/960 (pow x 4)) 1/8) (* 1/13824 (pow x 6))) (- (+ (* 1/345600 (pow x 8)) (* 1/373248000 (pow x 12))) (* 1/13824 (pow x 6))) (- (+ (* 1/345600 (pow x 8)) (* 1/373248000 (pow x 12))) (* 1/13824 (pow x 6))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 1.000 * * * [progress]: adding candidates to table 1.105 * * [progress]: iteration 4 / 4 1.105 * * * [progress]: picking best candidate 1.116 * * * * [pick]: Picked # 1.116 * * * [progress]: localizing error 1.122 * * * [progress]: generating rewritten candidates 1.122 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.124 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.128 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.132 * * * [progress]: generating series expansions 1.132 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.133 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (cos x) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (cos x) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.144 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.144 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.148 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.148 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.148 * [taylor]: Taking taylor expansion of -1 in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.149 * [taylor]: Taking taylor expansion of -1 in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.152 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.152 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 1.152 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.152 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.152 * [taylor]: Taking taylor expansion of 1.0 in x 1.152 * [taylor]: Taking taylor expansion of (cos x) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.155 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [taylor]: Taking taylor expansion of (cos x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.168 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.180 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 1.180 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.180 * [taylor]: Taking taylor expansion of -1 in x 1.180 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.180 * [taylor]: Taking taylor expansion of 1.0 in x 1.180 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.180 * [taylor]: Taking taylor expansion of -1 in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.181 * [taylor]: Taking taylor expansion of -1 in x 1.181 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.181 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.181 * [taylor]: Taking taylor expansion of -1 in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.199 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.200 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.200 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.200 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.200 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of (cos x) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.202 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of (cos x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.218 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.218 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.218 * [taylor]: Taking taylor expansion of 1.0 in x 1.218 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.232 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.232 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.232 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.232 * [taylor]: Taking taylor expansion of 1.0 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 -1 in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.233 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.233 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.233 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.233 * [taylor]: Taking taylor expansion of -1 in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.243 * * * [progress]: simplifying candidates 1.244 * [simplify]: Simplifying using # : (- (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)) (- (cos x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ 1 x) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (/ (- 1.0 (cos x)) x)) (- x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ 1 x)) (* x x) (* x (- 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)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 1.247 * * [simplify]: iteration 0 : 163 enodes (cost 118 ) 1.251 * * [simplify]: iteration 1 : 458 enodes (cost 117 ) 1.259 * * [simplify]: iteration 2 : 1640 enodes (cost 115 ) 1.302 * * [simplify]: iteration 3 : 5001 enodes (cost 114 ) 1.303 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (* -1 (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (* -1 (cos x)) (- (cos x) 1.0) (- x) (/ 1.0 x) (/ (cos x) x) (/ 1 x) (/ x (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) x) (* x (+ 1.0 (cos x))) (/ (- (cos x) 1.0) x) (- x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ 1 x) (* x (/ x (- 1.0 (cos x)))) (pow x 2) (pow x 2) (* x (- x)) (* x (/ x (- 1.0 (cos x)))) (* (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) x) x) (* 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)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 1.303 * * * [progress]: adding candidates to table 1.349 * [progress]: [Phase 3 of 3] Extracting. 1.349 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.350 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.350 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # #) 1.381 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.420 * * * [regime]: Found split indices: #