20.358 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.054 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.056 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.057 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.058 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.059 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.059 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.061 * * * * [pick]: Picked # 0.061 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (cos x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (cos x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.092 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.092 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.111 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.111 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.111 * [taylor]: Taking taylor expansion of -1 in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.111 * [taylor]: Taking taylor expansion of -1 in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.122 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.122 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (cos x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (cos x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.132 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.136 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.136 * [taylor]: Taking taylor expansion of -1 in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.137 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.137 * [taylor]: Taking taylor expansion of -1 in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.140 * * * [progress]: simplifying candidates 0.140 * [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)) 0.143 * * [simplify]: iteration 0 : 124 enodes (cost 81 ) 0.146 * * [simplify]: iteration 1 : 396 enodes (cost 81 ) 0.152 * * [simplify]: iteration 2 : 1050 enodes (cost 81 ) 0.176 * * [simplify]: iteration 3 : 4200 enodes (cost 80 ) 0.299 * * [simplify]: iteration 4 : 5001 enodes (cost 80 ) 0.299 * [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)) 0.300 * * * [progress]: adding candidates to table 0.337 * * [progress]: iteration 2 / 4 0.337 * * * [progress]: picking best candidate 0.348 * * * * [pick]: Picked # 0.348 * * * [progress]: localizing error 0.358 * * * [progress]: generating rewritten candidates 0.358 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.363 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.366 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.369 * * * [progress]: generating series expansions 0.369 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.369 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.369 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.369 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.369 * [taylor]: Taking taylor expansion of 1/720 in x 0.369 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 1/2 in x 0.369 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of 1/24 in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.369 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.370 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.370 * [taylor]: Taking taylor expansion of 1/720 in x 0.370 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of 1/2 in x 0.370 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of 1/24 in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.377 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.377 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.377 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.377 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.377 * [taylor]: Taking taylor expansion of 1/720 in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 1/2 in x 0.377 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.377 * [taylor]: Taking taylor expansion of 1/24 in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.378 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.378 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.378 * [taylor]: Taking taylor expansion of 1/720 in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of 1/2 in x 0.379 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.379 * [taylor]: Taking taylor expansion of 1/24 in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.395 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.395 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.395 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.395 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.395 * [taylor]: Taking taylor expansion of 1/720 in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.395 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of 1/2 in x 0.396 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.396 * [taylor]: Taking taylor expansion of 1/24 in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.396 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.396 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.396 * [taylor]: Taking taylor expansion of 1/720 in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of 1/2 in x 0.397 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.397 * [taylor]: Taking taylor expansion of 1/24 in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.417 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.417 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of 1/24 in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of 1/24 in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.425 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.425 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.425 * [taylor]: Taking taylor expansion of 1/24 in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of 1/24 in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.433 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.433 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.433 * [taylor]: Taking taylor expansion of 1/24 in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of 1/24 in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.441 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.442 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.442 * [taylor]: Taking taylor expansion of 1/720 in x 0.442 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.442 * [taylor]: Taking taylor expansion of 1/720 in x 0.442 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.454 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.454 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.454 * [taylor]: Taking taylor expansion of 1/720 in x 0.454 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.455 * [taylor]: Taking taylor expansion of 1/720 in x 0.455 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.466 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.466 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.466 * [taylor]: Taking taylor expansion of 1/720 in x 0.466 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.467 * [taylor]: Taking taylor expansion of 1/720 in x 0.467 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.478 * * * [progress]: simplifying candidates 0.478 * [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)) 0.481 * * [simplify]: iteration 0 : 94 enodes (cost 92 ) 0.483 * * [simplify]: iteration 1 : 353 enodes (cost 90 ) 0.492 * * [simplify]: iteration 2 : 1717 enodes (cost 86 ) 0.554 * * [simplify]: iteration 3 : 5001 enodes (cost 86 ) 0.555 * [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)) 0.555 * * * [progress]: adding candidates to table 0.585 * * [progress]: iteration 3 / 4 0.585 * * * [progress]: picking best candidate 0.596 * * * * [pick]: Picked # 0.596 * * * [progress]: localizing error 0.605 * * * [progress]: generating rewritten candidates 0.605 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.611 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.613 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.616 * * * [progress]: generating series expansions 0.616 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.616 * [approximate]: Taking taylor expansion of (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) in (x) around 0 0.616 * [taylor]: Taking taylor expansion of (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) in x 0.616 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.616 * [taylor]: Taking taylor expansion of 1/720 in x 0.617 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.617 * [taylor]: Taking taylor expansion of 1/24 in x 0.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) in x 0.617 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.617 * [taylor]: Taking taylor expansion of 1/720 in x 0.617 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.617 * [taylor]: Taking taylor expansion of 1/24 in x 0.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.649 * [approximate]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.649 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))) in x 0.649 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.649 * [taylor]: Taking taylor expansion of 1/720 in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.650 * [taylor]: Taking taylor expansion of 1/24 in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))) in x 0.651 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.651 * [taylor]: Taking taylor expansion of 1/720 in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.652 * [taylor]: Taking taylor expansion of 1/24 in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.688 * [approximate]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.688 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))) in x 0.688 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.688 * [taylor]: Taking taylor expansion of 1/720 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.689 * [taylor]: Taking taylor expansion of 1/24 in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (- (* 1/720 (/ 1 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))) in x 0.689 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.689 * [taylor]: Taking taylor expansion of 1/720 in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.689 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.690 * [taylor]: Taking taylor expansion of 1/24 in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.733 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.733 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.733 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.733 * [taylor]: Taking taylor expansion of 1/24 in x 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.733 * [taylor]: Taking taylor expansion of 1/24 in x 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.741 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.741 * [taylor]: Taking taylor expansion of 1/24 in x 0.741 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.742 * [taylor]: Taking taylor expansion of 1/24 in x 0.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.750 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.750 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.750 * [taylor]: Taking taylor expansion of 1/24 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 (/ 1/24 (pow x 2)) in x 0.750 * [taylor]: Taking taylor expansion of 1/24 in x 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.758 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.758 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.758 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.758 * [taylor]: Taking taylor expansion of 1/720 in x 0.758 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.758 * [taylor]: Taking taylor expansion of 1/720 in x 0.758 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.770 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.770 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.770 * [taylor]: Taking taylor expansion of 1/720 in x 0.770 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.771 * [taylor]: Taking taylor expansion of 1/720 in x 0.771 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.783 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.783 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.783 * [taylor]: Taking taylor expansion of 1/720 in x 0.783 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.784 * [taylor]: Taking taylor expansion of 1/720 in x 0.784 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.795 * * * [progress]: simplifying candidates 0.795 * [simplify]: Simplifying using # : (- (pow (* 1/720 (pow x 4)) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (+ (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* (* 1/720 (pow x 4)) (* 1/24 (pow x 2))))) (- (* 1/24 (pow x 2))) (- (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (* (* 1/24 (pow x 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)) (* 1/24 (pow x 2))) (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) (- (* 1/720 (pow x 4)) (* 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)) 0.798 * * [simplify]: iteration 0 : 87 enodes (cost 72 ) 0.800 * * [simplify]: iteration 1 : 292 enodes (cost 67 ) 0.809 * * [simplify]: iteration 2 : 1404 enodes (cost 64 ) 0.862 * * [simplify]: iteration 3 : 5001 enodes (cost 62 ) 0.863 * [simplify]: Simplified to: (- (pow (* 1/720 (pow x 4)) 3) (pow (* 1/24 (pow x 2)) 3)) (* (pow x 4) (+ (+ 1/576 (* (pow x 4) 1/518400)) (* (pow x 2) 1/17280))) (- (* 1/24 (pow x 2))) (* (pow x 4) (- (* (pow x 4) 1/518400) 1/576)) (+ (* 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)) (* 1/24 (pow x 2))) (- (* 1/720 (pow x 4)) (* 1/24 (pow x 2))) (- (* 1/720 (pow x 4)) (* 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)) 0.863 * * * [progress]: adding candidates to table 0.889 * * [progress]: iteration 4 / 4 0.890 * * * [progress]: picking best candidate 0.898 * * * * [pick]: Picked # 0.898 * * * [progress]: localizing error 0.904 * * * [progress]: generating rewritten candidates 0.904 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.906 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.910 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.915 * * * [progress]: generating series expansions 0.915 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.915 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.915 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (cos x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (cos x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.925 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.929 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.929 * [taylor]: Taking taylor expansion of -1 in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.930 * [taylor]: Taking taylor expansion of -1 in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.933 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.933 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.933 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.933 * [taylor]: Taking taylor expansion of 1.0 in x 0.933 * [taylor]: Taking taylor expansion of (cos x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.936 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (cos x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.952 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.952 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.964 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.964 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.964 * [taylor]: Taking taylor expansion of -1 in x 0.964 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.964 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.964 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.964 * [taylor]: Taking taylor expansion of -1 in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.965 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.980 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.980 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.980 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.980 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.980 * [taylor]: Taking taylor expansion of (cos x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.983 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [taylor]: Taking taylor expansion of (cos x) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.998 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.998 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.998 * [taylor]: Taking taylor expansion of 1.0 in x 0.998 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 0.999 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.011 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.011 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.011 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.011 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.011 * [taylor]: Taking taylor expansion of -1 in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.012 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.012 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.012 * [taylor]: Taking taylor expansion of -1 in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.023 * * * [progress]: simplifying candidates 1.023 * [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)) 1.031 * * [simplify]: iteration 0 : 163 enodes (cost 118 ) 1.034 * * [simplify]: iteration 1 : 458 enodes (cost 117 ) 1.042 * * [simplify]: iteration 2 : 1640 enodes (cost 115 ) 1.085 * * [simplify]: iteration 3 : 5001 enodes (cost 114 ) 1.086 * [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)) 1.086 * * * [progress]: adding candidates to table 1.129 * [progress]: [Phase 3 of 3] Extracting. 1.129 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.130 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.130 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.166 * * * [regime]: Found split indices: #