9.504 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.094 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.095 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.096 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.097 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.098 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.099 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.099 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.100 * * [progress]: iteration 1 / 4 0.100 * * * [progress]: picking best candidate 0.102 * * * * [pick]: Picked # 0.102 * * * [progress]: localizing error 0.107 * * * [progress]: generating rewritten candidates 0.107 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.114 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.118 * * * [progress]: generating series expansions 0.118 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.119 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (cos x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (cos x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.122 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.124 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.124 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.125 * [taylor]: Taking taylor expansion of -1 in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.125 * [taylor]: Taking taylor expansion of -1 in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.127 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.127 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (cos x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (cos x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.130 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.132 * * * [progress]: simplifying candidates 0.133 * [simplify]: Simplifying using # : (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.139 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.145 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.163 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.222 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.223 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (pow x 2)) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.224 * * * [progress]: adding candidates to table 0.295 * * [progress]: iteration 2 / 4 0.295 * * * [progress]: picking best candidate 0.356 * * * * [pick]: Picked # 0.357 * * * [progress]: localizing error 0.368 * * * [progress]: generating rewritten candidates 0.368 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.374 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.379 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.386 * * * [progress]: generating series expansions 0.386 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.386 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.386 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.386 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.386 * [taylor]: Taking taylor expansion of 1/720 in x 0.386 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of 1/2 in x 0.386 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of 1/24 in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.386 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.386 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.386 * [taylor]: Taking taylor expansion of 1/720 in x 0.386 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1/2 in x 0.387 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of 1/24 in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.387 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.387 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.388 * [taylor]: Taking taylor expansion of 1/720 in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 1/2 in x 0.388 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.388 * [taylor]: Taking taylor expansion of 1/24 in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.388 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.388 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.388 * [taylor]: Taking taylor expansion of 1/720 in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 1/2 in x 0.388 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.388 * [taylor]: Taking taylor expansion of 1/24 in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.389 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.389 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.389 * [taylor]: Taking taylor expansion of 1/720 in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of 1/2 in x 0.390 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.390 * [taylor]: Taking taylor expansion of 1/24 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.390 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.390 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.390 * [taylor]: Taking taylor expansion of 1/720 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of 1/2 in x 0.390 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.390 * [taylor]: Taking taylor expansion of 1/24 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.392 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.392 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.392 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of 1/24 in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of 1/24 in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.394 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.394 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.394 * [taylor]: Taking taylor expansion of 1/24 in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.394 * [taylor]: Taking taylor expansion of 1/24 in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.396 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.396 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of 1/24 in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of 1/24 in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.398 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.398 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.398 * [taylor]: Taking taylor expansion of 1/720 in x 0.398 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.398 * [taylor]: Taking taylor expansion of 1/720 in x 0.398 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.400 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.400 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.400 * [taylor]: Taking taylor expansion of 1/720 in x 0.400 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.400 * [taylor]: Taking taylor expansion of 1/720 in x 0.400 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.402 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.402 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.402 * [taylor]: Taking taylor expansion of 1/720 in x 0.402 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.402 * [taylor]: Taking taylor expansion of 1/720 in x 0.402 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.404 * * * [progress]: simplifying candidates 0.406 * [simplify]: Simplifying using # : (/ (* (exp (* 1/720 (pow x 4))) (exp 1/2)) (exp (* 1/24 (pow x 2)))) (/ (exp (+ (* 1/720 (pow x 4)) 1/2)) (exp (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (* (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (+ (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (neg (* 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))) (neg (* 1/24 (pow x 2))) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (log (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 (pow (sqrt x) 2)) (* 1/24 (pow 1 2)) (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (sqrt (pow x 2))) (* 1/24 1) (* 1/24 (pow x (/ 2 2))) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (log (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (* (* (* 1/720 1/720) 1/720) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (* (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x (/ 4 2))) (* (sqrt 1/720) (pow x (/ 4 2))) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow (sqrt x) 4)) (* 1/720 (pow 1 4)) (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) (* 1/720 1) (* 1/720 (pow x (/ 4 2))) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.410 * * [simplify]: iteration 0 : 268 enodes (cost 345 ) 0.415 * * [simplify]: iteration 1 : 1132 enodes (cost 313 ) 0.440 * * [simplify]: iteration 2 : 5001 enodes (cost 307 ) 0.445 * [simplify]: Simplified to: (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (pow (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (* -1/24 (pow x 2)) (+ (* -1/576 (pow x 4)) (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (* -1/24 (pow x 2)) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* x 1/24) 1/24 (* x 1/24) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* x 1/24) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow x 2)) 1/720 (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) 1/720 (* 1/720 (pow x 2)) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.446 * * * [progress]: adding candidates to table 0.558 * * [progress]: iteration 3 / 4 0.559 * * * [progress]: picking best candidate 0.584 * * * * [pick]: Picked # 0.584 * * * [progress]: localizing error 0.592 * * * [progress]: generating rewritten candidates 0.592 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.595 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.598 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.606 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.616 * * * [progress]: generating series expansions 0.616 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.617 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.617 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (cos x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (cos x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.618 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.619 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.619 * [taylor]: Taking taylor expansion of -1 in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.619 * [taylor]: Taking taylor expansion of -1 in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.619 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (cos x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (cos x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.621 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.622 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.622 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (cos x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (cos x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.626 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.628 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.628 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.628 * [taylor]: Taking taylor expansion of -1 in x 0.628 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.628 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.628 * [taylor]: Taking taylor expansion of -1 in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.628 * [taylor]: Taking taylor expansion of -1 in x 0.628 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.628 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.628 * [taylor]: Taking taylor expansion of -1 in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.630 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.631 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.631 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (cos x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (cos x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.634 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.634 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.634 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.634 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.636 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.636 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.636 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.636 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.636 * [taylor]: Taking taylor expansion of 1.0 in x 0.636 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.636 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.636 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.636 * [taylor]: Taking taylor expansion of 1.0 in x 0.636 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.638 * * * [progress]: simplifying candidates 0.640 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (neg (sqrt (- 1.0 (cos x)))) (neg x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 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(cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 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 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 0.646 * * [simplify]: iteration 0 : 242 enodes (cost 1020 ) 0.650 * * [simplify]: iteration 1 : 706 enodes (cost 972 ) 0.662 * * [simplify]: iteration 2 : 2954 enodes (cost 960 ) 0.751 * * [simplify]: iteration 3 : 5002 enodes (cost 960 ) 0.756 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 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x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 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 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 0.757 * * * [progress]: adding candidates to table 0.980 * * [progress]: iteration 4 / 4 0.980 * * * [progress]: picking best candidate 1.032 * * * * [pick]: Picked # 1.032 * * * [progress]: localizing error 1.057 * * * [progress]: generating rewritten candidates 1.057 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.066 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.073 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.080 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.102 * * * [progress]: generating series expansions 1.103 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.103 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (cos x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (cos x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.106 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.106 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.107 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.107 * [taylor]: Taking taylor expansion of -1 in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.107 * [taylor]: Taking taylor expansion of -1 in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.107 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [taylor]: Taking taylor expansion of (cos x) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [taylor]: Taking taylor expansion of (cos x) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.109 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.109 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.110 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.110 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.110 * [taylor]: Taking taylor expansion of -1 in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.110 * [taylor]: Taking taylor expansion of -1 in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.110 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.110 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [taylor]: Taking taylor expansion of (cos x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [taylor]: Taking taylor expansion of (cos x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.112 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.112 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.112 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.112 * [taylor]: Taking taylor expansion of -1 in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.113 * [taylor]: Taking taylor expansion of -1 in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.113 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 1.113 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (cos x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 1.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.114 * [taylor]: Taking taylor expansion of 1.0 in x 1.114 * [taylor]: Taking taylor expansion of (cos x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.116 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.116 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.116 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 1.117 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.118 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 1.118 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.118 * [taylor]: Taking taylor expansion of -1 in x 1.118 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.118 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.119 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.119 * [taylor]: Taking taylor expansion of -1 in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 1.119 * [taylor]: Taking taylor expansion of -1 in x 1.119 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 1.119 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 1.119 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.119 * [taylor]: Taking taylor expansion of -1 in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.121 * * * [progress]: simplifying candidates 1.125 * [simplify]: Simplifying using # : (log (exp 1.0)) (log (exp (neg (cos x)))) (log (exp 1.0)) (log (exp (neg (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (log (sqrt (log (exp (- 1.0 (cos x)))))) (log x)) (log (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (exp (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (/ (* (* (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt (log (exp (- 1.0 (cos x)))))) (* (* x x) x)) (* (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (* (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (neg (sqrt (log (exp (- 1.0 (cos x)))))) (neg x) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) 1) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) 1) (/ (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (log (exp (sqrt (- 1.0 (cos x)))))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp 1))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp 1))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (log (exp 1))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (cbrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) 1) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp 1))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp 1))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (log (exp 1))) x) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x))))))) 1) (/ (sqrt (cbrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) 1) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) 1) (/ (sqrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ 1 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ 1 x) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) 1) (/ x (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ x (sqrt (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))))) (/ x (sqrt (log (exp (sqrt (- 1.0 (cos x))))))) (/ x (sqrt (log (exp 1)))) (/ x (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x))))))) (/ x (sqrt (log (exp 1)))) (/ x (sqrt (cbrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ x (sqrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (log (exp (- 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 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos 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)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 1.130 * * [simplify]: iteration 0 : 305 enodes (cost 911 ) 1.135 * * [simplify]: iteration 1 : 837 enodes (cost 822 ) 1.148 * * [simplify]: iteration 2 : 3341 enodes (cost 790 ) 1.219 * * [simplify]: iteration 3 : 5002 enodes (cost 789 ) 1.224 * [simplify]: Simplified to: 1.0 (neg (cos x)) 1.0 (neg (cos x)) (* 2 (log (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (pow E (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (cbrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (sqrt (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (neg (sqrt (- 1.0 (cos x)))) (neg x) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (* (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ (cbrt (sqrt (log (exp (- 1.0 (cos x)))))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (fabs (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (fabs (cbrt (log (exp (- 1.0 (cos x)))))) (pow x 1/2)) (sqrt (cbrt (- 1.0 (cos x)))) (/ (fabs (cbrt (log (exp (- 1.0 (cos x)))))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x)) (sqrt (- 1.0 (cos x))) (/ 1 x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (cbrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (pow x 1/2)) (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x)) (sqrt (- 1.0 (cos x))) (/ 1 x) (/ (/ (fabs (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (log (exp (- 1.0 (cos x)))))) (pow x 1/2)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (fabs (cbrt (log (exp (- 1.0 (cos x)))))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (fabs (cbrt (log (exp (- 1.0 (cos x))))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) x (/ x (sqrt (log (exp (+ (sqrt 1.0) (sqrt (cos x))))))) x (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 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 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos 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)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 1.224 * * * [progress]: adding candidates to table 1.507 * [progress]: [Phase 3 of 3] Extracting. 1.507 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.511 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.511 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # #) 1.604 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# #) 1.635 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.745 * * * [regime]: Found split indices: #