6.829 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.141 * * * [progress]: [2/2] Setting up program. 0.144 * [progress]: [Phase 2 of 3] Improving. 0.145 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.146 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.147 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.148 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.149 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.149 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.150 * * [progress]: iteration 1 / 4 0.150 * * * [progress]: picking best candidate 0.152 * * * * [pick]: Picked # 0.152 * * * [progress]: localizing error 0.160 * * * [progress]: generating rewritten candidates 0.160 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.163 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.170 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.171 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.176 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.180 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.180 * [taylor]: Taking taylor expansion of -1 in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.181 * [taylor]: Taking taylor expansion of -1 in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.184 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.184 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.184 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [taylor]: Taking taylor expansion of (cos x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (sin x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.187 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (cos x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (sin x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.195 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.209 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.209 * [taylor]: Taking taylor expansion of -1 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.210 * [taylor]: Taking taylor expansion of -1 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.216 * * * [progress]: simplifying candidates 0.217 * [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)) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (neg (- 1.0 (cos x))) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (pow x 3)) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (pow x 2) (+ (* 1/24 (pow x 3)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.221 * * [simplify]: iteration 0 : 217 enodes (cost 394 ) 0.225 * * [simplify]: iteration 1 : 620 enodes (cost 370 ) 0.236 * * [simplify]: iteration 2 : 2465 enodes (cost 369 ) 0.289 * * [simplify]: iteration 3 : 5002 enodes (cost 369 ) 0.291 * [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)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (neg (- 1.0 (cos x))) (neg (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sin x)) (* (sin x) (+ 1.0 (cos x))) (+ (* -1/24 (pow x 4)) (* (pow x 2) (+ x 1/2))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x (+ 1/2 x)) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.291 * * * [progress]: adding candidates to table 0.466 * * [progress]: iteration 2 / 4 0.466 * * * [progress]: picking best candidate 0.522 * * * * [pick]: Picked # 0.522 * * * [progress]: localizing error 0.537 * * * [progress]: generating rewritten candidates 0.537 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.548 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.551 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2) 0.554 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.563 * * * [progress]: generating series expansions 0.563 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.564 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.564 * [taylor]: Taking taylor expansion of (cos x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.564 * [taylor]: Taking taylor expansion of (cos x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.578 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 0.578 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.578 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.579 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.591 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.591 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.592 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.592 * [taylor]: Taking taylor expansion of -1 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.604 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.604 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 0.604 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.604 * [taylor]: Taking taylor expansion of (cos x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.604 * [taylor]: Taking taylor expansion of (cos x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.609 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 0.610 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.610 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.610 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.619 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 0.619 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) 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 (pow (cos (/ -1 x)) 3) 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 0.628 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2) 0.628 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 0.628 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [taylor]: Taking taylor expansion of (cos x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [taylor]: Taking taylor expansion of (cos x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.631 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 0.631 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.631 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.632 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.632 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 0.634 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 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 -1 in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 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 -1 in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.636 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.636 * [approximate]: Taking taylor expansion of (* (+ 1.0 (cos x)) (cos x)) in (x) around 0 0.636 * [taylor]: Taking taylor expansion of (* (+ 1.0 (cos x)) (cos x)) in x 0.636 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 0.636 * [taylor]: Taking taylor expansion of 1.0 in x 0.636 * [taylor]: Taking taylor expansion of (cos x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (cos x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (* (+ 1.0 (cos x)) (cos x)) in x 0.636 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 0.636 * [taylor]: Taking taylor expansion of 1.0 in x 0.636 * [taylor]: Taking taylor expansion of (cos x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (cos x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.645 * [approximate]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) in (x) around 0 0.645 * [taylor]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) in x 0.645 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.645 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) in x 0.645 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.645 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.652 * [approximate]: Taking taylor expansion of (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) in (x) around 0 0.652 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) in x 0.652 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.652 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.652 * [taylor]: Taking taylor expansion of -1 in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.652 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.652 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.652 * [taylor]: Taking taylor expansion of -1 in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) in x 0.653 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.653 * [taylor]: Taking taylor expansion of -1 in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.653 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.653 * [taylor]: Taking taylor expansion of -1 in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.659 * * * [progress]: simplifying candidates 0.665 * [simplify]: Simplifying using # : (/ (exp (pow 1.0 3)) (exp (pow (cos x) 3))) (log (- (pow 1.0 3) (pow (cos x) 3))) (exp (- (pow 1.0 3) (pow (cos x) 3))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (* (* (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3))) (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- 1.0 (cos x)) (- (pow (pow 1.0 3) 3) (pow (pow (cos x) 3) 3)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow (cos x) 3) (pow (cos x) 3)) (* (pow 1.0 3) (pow (cos x) 3)))) (neg (pow (cos x) 3)) (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (cos x) 3) (pow (cos x) 3))) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (- (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (+ (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2))) (- (sqrt (pow 1.0 3)) (pow (cos x) (/ 3 2))) (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (+ (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (- (pow 1.0 (/ 3 2)) (pow (sqrt (cos x)) 3)) (+ (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3))) (- (pow 1.0 (/ 3 2)) (sqrt (pow (cos x) 3))) (+ (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (neg (pow (cos x) 3)) (* (log (cos x)) 3) (* (log (cos x)) 3) (* 1 3) (pow (cos x) (* (cbrt 3) (cbrt 3))) (pow (cos x) (sqrt 3)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow 1 3) (pow (cos x) 3) (* (cos x) (cos x)) (log (pow (cos x) 3)) (exp (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (cbrt (pow (cos x) 3)) (* (* (pow (cos x) 3) (pow (cos x) 3)) (pow (cos x) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow 1 3) (pow (cos x) 3) (* (cos x) (cos x)) (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3)) (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)) (* (exp (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (* (cos x) (+ (cos x) 1.0)) (+ (log (cos x)) (log (+ (cos x) 1.0))) (log (* (cos x) (+ (cos x) 1.0))) (exp (* (cos x) (+ (cos x) 1.0))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0))) (* (cbrt (* (cos x) (+ (cos x) 1.0))) (cbrt (* (cos x) (+ (cos x) 1.0)))) (cbrt (* (cos x) (+ (cos x) 1.0))) (* (* (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0))) (* (cos x) (+ (cos x) 1.0))) (sqrt (* (cos x) (+ (cos x) 1.0))) (sqrt (* (cos x) (+ (cos x) 1.0))) (* (sqrt (cos x)) (sqrt (+ (cos x) 1.0))) (* (sqrt (cos x)) (sqrt (+ (cos x) 1.0))) (* (cos x) (cos x)) (* (cos x) 1.0) (* (cos x) (cos x)) (* 1.0 (cos x)) (* (cos x) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0)))) (* (cos x) (sqrt (+ (cos x) 1.0))) (* (cos x) 1) (* (cos x) 1) (* (cbrt (cos x)) (+ (cos x) 1.0)) (* (sqrt (cos x)) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (pow (cos x) 3) (pow 1.0 3))) (* (cos x) (- (* (cos x) (cos x)) (* 1.0 1.0))) (- (+ (* 3/2 (pow x 2)) (* 3 (pow x 3))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- 1 (+ (* 3/2 (pow x 2)) (* 3 (pow x 3)))) (pow (cos x) 3) (pow (cos x) 3) (- 2.0 (+ (* 1/2 (pow x 2)) (pow x 3))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- 2.0 (+ (* 1.5 (pow x 2)) (* 3.0 (pow x 3)))) (* (+ 1.0 (cos x)) (cos x)) (* (+ 1.0 (cos x)) (cos x)) 0.670 * * [simplify]: iteration 0 : 347 enodes (cost 592 ) 0.678 * * [simplify]: iteration 1 : 1725 enodes (cost 554 ) 0.728 * * [simplify]: iteration 2 : 5002 enodes (cost 534 ) 0.732 * [simplify]: Simplified to: (exp (- (pow 1.0 3) (pow (cos x) 3))) (log (- (pow 1.0 3) (pow (cos x) 3))) (exp (- (pow 1.0 3) (pow (cos x) 3))) (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (pow (- (pow 1.0 3) (pow (cos x) 3)) 3) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- 1.0 (cos x)) (- (pow (pow 1.0 3) 3) (pow (pow (cos x) 3) 3)) (+ (+ (pow 1.0 6) (pow (cos x) 6)) (* (pow 1.0 3) (pow (cos x) 3))) (neg (pow (cos x) 3)) (+ (pow 1.0 6) (neg (pow (cos x) 6))) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (+ (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (+ (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (+ (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2)) (+ (sqrt (pow 1.0 3)) (pow (cos x) 3/2)) (- (sqrt (pow 1.0 3)) (pow (cos x) 3/2)) (+ (sqrt (pow 1.0 3)) (pow (cos x) 3/2)) (- (sqrt (pow 1.0 3)) (pow (cos x) 3/2)) (+ (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3))) (+ (sqrt (pow 1.0 3)) (pow (cos x) 3/2)) (- (sqrt (pow 1.0 3)) (pow (cos x) 3/2)) (+ (pow 1.0 3/2) (pow (cos x) 3/2)) (- (pow 1.0 3/2) (pow (cos x) 3/2)) (+ (pow 1.0 3/2) (pow (cos x) 3/2)) (- (pow 1.0 3/2) (pow (cos x) 3/2)) (+ (pow 1.0 3/2) (sqrt (pow (cos x) 3))) (- (pow 1.0 3/2) (sqrt (pow (cos x) 3))) (+ (pow 1.0 3/2) (pow (cos x) 3/2)) (- (pow 1.0 3/2) (pow (cos x) 3/2)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (neg (pow (cos x) 3)) (log (pow (cos x) 3)) (log (pow (cos x) 3)) 3 (pow (cos x) (* (cbrt 3) (cbrt 3))) (pow (cos x) (sqrt 3)) (cos x) (pow (cos x) 2) (cos x) (pow (cos x) 3/2) (pow (cos x) 3/2) 1 (pow (cos x) 3) (pow (cos x) 2) (log (pow (cos x) 3)) (exp (pow (cos x) 3)) (pow (cos x) 2) (cos x) (pow (pow (cos x) 3) 3) (pow (cos x) 2) (cos x) (pow (cos x) 3/2) (pow (cos x) 3/2) 1 (pow (cos x) 3) (pow (cos x) 2) (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3)) (pow (cos x) 3/2) (pow (cos x) 3/2) (exp (+ (cos x) 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ (cos x) 1.0) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 (- 1.0 (cos x))) (pow (cos x) 2)) (- (pow (cos x) 2) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (* (cos x) (+ (cos x) 1.0)) (log (* (cos x) (+ (cos x) 1.0))) (log (* (cos x) (+ (cos x) 1.0))) (exp (* (cos x) (+ (cos x) 1.0))) (pow (* (cos x) (+ (cos x) 1.0)) 3) (* (cbrt (* (cos x) (+ (cos x) 1.0))) (cbrt (* (cos x) (+ (cos x) 1.0)))) (cbrt (* (cos x) (+ (cos x) 1.0))) (pow (* (cos x) (+ (cos x) 1.0)) 3) (sqrt (* (cos x) (+ (cos x) 1.0))) (sqrt (* (cos x) (+ (cos x) 1.0))) (* (sqrt (cos x)) (sqrt (+ (cos x) 1.0))) (* (sqrt (cos x)) (sqrt (+ (cos x) 1.0))) (pow (cos x) 2) (* 1.0 (cos x)) (pow (cos x) 2) (* 1.0 (cos x)) (* (cos x) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0)))) (* (cos x) (sqrt (+ (cos x) 1.0))) (cos x) (cos x) (* (cbrt (cos x)) (+ (cos x) 1.0)) (* (sqrt (cos x)) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (pow (cos x) 3) (pow 1.0 3))) (* (cos x) (- (* (cos x) (cos x)) (* 1.0 1.0))) (- (+ (* 3/2 (pow x 2)) (* 3 (pow x 3))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- 1 (+ (* 3/2 (pow x 2)) (* 3 (pow x 3)))) (pow (cos x) 3) (pow (cos x) 3) (- 2.0 (+ (* 1/2 (pow x 2)) (pow x 3))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- 2.0 (+ (* 1.5 (pow x 2)) (* 3.0 (pow x 3)))) (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0)) 0.732 * * * [progress]: adding candidates to table 1.005 * * [progress]: iteration 3 / 4 1.006 * * * [progress]: picking best candidate 1.074 * * * * [pick]: Picked # 1.074 * * * [progress]: localizing error 1.092 * * * [progress]: generating rewritten candidates 1.092 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.117 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.121 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1) 1.124 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 1.133 * * * [progress]: generating series expansions 1.133 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.134 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.134 * [taylor]: Taking taylor expansion of (cos x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.134 * [taylor]: Taking taylor expansion of (cos x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.145 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.145 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.145 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.146 * [taylor]: Taking taylor expansion of 1.0 in x 1.146 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.146 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.158 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.158 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.158 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.158 * [taylor]: Taking taylor expansion of -1 in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.159 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.159 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.159 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.159 * [taylor]: Taking taylor expansion of -1 in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.171 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.171 * [approximate]: Taking taylor expansion of (pow (pow (cos x) 3) 3) in (x) around 0 1.171 * [taylor]: Taking taylor expansion of (pow (pow (cos x) 3) 3) in x 1.171 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.171 * [taylor]: Taking taylor expansion of (cos x) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of (pow (pow (cos x) 3) 3) in x 1.171 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.171 * [taylor]: Taking taylor expansion of (cos x) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.180 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ 1 x)) 3) 3) in (x) around 0 1.180 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 x)) 3) 3) in x 1.180 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.180 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 x)) 3) 3) in x 1.181 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.181 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.204 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ -1 x)) 3) 3) in (x) around 0 1.204 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 x)) 3) 3) in x 1.204 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.204 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.204 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.204 * [taylor]: Taking taylor expansion of -1 in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 x)) 3) 3) in x 1.205 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.205 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.205 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.205 * [taylor]: Taking taylor expansion of -1 in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.223 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1) 1.223 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.223 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.223 * [taylor]: Taking taylor expansion of (cos x) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.223 * [taylor]: Taking taylor expansion of (cos x) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.229 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.229 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.229 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.229 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.238 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.238 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.238 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.238 * [taylor]: Taking taylor expansion of -1 in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.238 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.238 * [taylor]: Taking taylor expansion of -1 in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.247 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 1.247 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 1.247 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [taylor]: Taking taylor expansion of (cos x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [taylor]: Taking taylor expansion of (cos x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.250 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.250 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.250 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.251 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.253 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.253 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.253 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.253 * [taylor]: Taking taylor expansion of -1 in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.253 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.253 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.253 * [taylor]: Taking taylor expansion of -1 in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * * * [progress]: simplifying candidates 1.257 * [simplify]: Simplifying using # : (/ (exp (pow 1.0 3)) (exp (cbrt (pow (pow (cos x) 3) 3)))) (log (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (exp (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (* (cbrt (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (cbrt (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3))))) (cbrt (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (* (* (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3))) (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (sqrt (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (sqrt (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (- (pow (pow 1.0 3) 3) (pow (cbrt (pow (pow (cos x) 3) 3)) 3)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (cbrt (pow (pow (cos x) 3) 3)) (cbrt (pow (pow (cos x) 3) 3))) (* (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3))))) (neg (cbrt (pow (pow (cos x) 3) 3))) (- (* (pow 1.0 3) (pow 1.0 3)) (* (cbrt (pow (pow (cos x) 3) 3)) (cbrt (pow (pow (cos x) 3) 3)))) (+ (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (- (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) 3) (/ 3 2)))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) 3) (/ 3 2)))) (+ (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (pow (cos x) 3) 3)))) (- (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (pow (cos x) 3) 3)))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (+ (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (- (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) 3) (/ 3 2)))) (- (pow (sqrt 1.0) 3) (cbrt (pow (pow (cos x) 3) (/ 3 2)))) (+ (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (pow (cos x) 3) 3)))) (- (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (pow (cos x) 3) 3)))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (sqrt (pow 1.0 3)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (sqrt (pow 1.0 3)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (- (sqrt (pow 1.0 3)) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (- (sqrt (pow 1.0 3)) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (sqrt (pow 1.0 3)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (sqrt (pow 1.0 3)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (- (sqrt (pow 1.0 3)) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (- (sqrt (pow 1.0 3)) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (+ (sqrt (pow 1.0 3)) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (- (sqrt (pow 1.0 3)) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (pow (cos x) 3) (/ 3 2)))) (- (sqrt (pow 1.0 3)) (cbrt (pow (pow (cos x) 3) (/ 3 2)))) (+ (sqrt (pow 1.0 3)) (sqrt (cbrt (pow (pow (cos x) 3) 3)))) (- (sqrt (pow 1.0 3)) (sqrt (cbrt (pow (pow (cos x) 3) 3)))) (+ (pow 1.0 (/ 3 2)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow 1.0 (/ 3 2)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow 1.0 (/ 3 2)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow 1.0 (/ 3 2)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow 1.0 (/ 3 2)) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (- (pow 1.0 (/ 3 2)) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (+ (pow 1.0 (/ 3 2)) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (- (pow 1.0 (/ 3 2)) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (+ (pow 1.0 (/ 3 2)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow 1.0 (/ 3 2)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow 1.0 (/ 3 2)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (- (pow 1.0 (/ 3 2)) (cbrt (pow (pow (sqrt (cos x)) 3) 3))) (+ (pow 1.0 (/ 3 2)) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (- (pow 1.0 (/ 3 2)) (cbrt (pow (sqrt (pow (cos x) 3)) 3))) (+ (pow 1.0 (/ 3 2)) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (- (pow 1.0 (/ 3 2)) (cbrt (pow (pow (cos x) (/ 3 2)) 3))) (+ (pow 1.0 (/ 3 2)) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (- (pow 1.0 (/ 3 2)) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (+ (pow 1.0 (/ 3 2)) (cbrt (pow (pow (cos x) 3) (/ 3 2)))) (- (pow 1.0 (/ 3 2)) (cbrt (pow (pow (cos x) 3) (/ 3 2)))) (+ (pow 1.0 (/ 3 2)) (sqrt (cbrt (pow (pow (cos x) 3) 3)))) (- (pow 1.0 (/ 3 2)) (sqrt (cbrt (pow (pow (cos x) 3) 3)))) (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3))) (neg (cbrt (pow (pow (cos x) 3) 3))) (* (* (log (cos x)) 3) 3) (* (* (log (cos x)) 3) 3) (* (log (pow (cos x) 3)) 3) (* (log (pow (cos x) 3)) 3) (* 3 3) (pow (pow (cos x) 3) (* (cbrt 3) (cbrt 3))) (pow (pow (cos x) 3) (sqrt 3)) (pow (pow (cos x) 3) 1) (pow (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) 3) (pow (pow (cbrt (cos x)) 3) 3) (pow (pow (sqrt (cos x)) 3) 3) (pow (pow (sqrt (cos x)) 3) 3) (pow (pow 1 3) 3) (pow (pow (cos x) 3) 3) (pow (* (cos x) (cos x)) 3) (pow (cos x) 3) (pow (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) 3) (pow (cbrt (pow (cos x) 3)) 3) (pow (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) 3) (pow (pow (cbrt (cos x)) 3) 3) (pow (pow (sqrt (cos x)) 3) 3) (pow (pow (sqrt (cos x)) 3) 3) (pow (pow 1 3) 3) (pow (pow (cos x) 3) 3) (pow (cos x) 3) (pow (* (cos x) (cos x)) 3) (pow (sqrt (pow (cos x) 3)) 3) (pow (sqrt (pow (cos x) 3)) 3) (pow 1 3) (pow (pow (cos x) 3) 3) (pow (pow (cos x) (/ 3 2)) 3) (pow (pow (cos x) (/ 3 2)) 3) (* (pow (cos x) 3) (pow (cos x) 3)) (log (pow (pow (cos x) 3) 3)) (exp (pow (pow (cos x) 3) 3)) (* (cbrt (pow (pow (cos x) 3) 3)) (cbrt (pow (pow (cos x) 3) 3))) (cbrt (pow (pow (cos x) 3) 3)) (* (* (pow (pow (cos x) 3) 3) (pow (pow (cos x) 3) 3)) (pow (pow (cos x) 3) 3)) (pow (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) 3) (pow (pow (cbrt (cos x)) 3) 3) (pow (pow (sqrt (cos x)) 3) 3) (pow (pow (sqrt (cos x)) 3) 3) (pow (pow 1 3) 3) (pow (pow (cos x) 3) 3) (pow (* (cos x) (cos x)) 3) (pow (cos x) 3) (pow (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) 3) (pow (cbrt (pow (cos x) 3)) 3) (pow (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) 3) (pow (pow (cbrt (cos x)) 3) 3) (pow (pow (sqrt (cos x)) 3) 3) (pow (pow (sqrt (cos x)) 3) 3) (pow (pow 1 3) 3) (pow (pow (cos x) 3) 3) (pow (cos x) 3) (pow (* (cos x) (cos x)) 3) (pow (sqrt (pow (cos x) 3)) 3) (pow (sqrt (pow (cos x) 3)) 3) (pow 1 3) (pow (pow (cos x) 3) 3) (pow (pow (cos x) (/ 3 2)) 3) (pow (pow (cos x) (/ 3 2)) 3) (* (pow (cos x) 3) (pow (cos x) 3)) (sqrt (pow (pow (cos x) 3) 3)) (sqrt (pow (pow (cos x) 3) 3)) (pow (pow (cos x) 3) (/ 3 2)) (pow (pow (cos x) 3) (/ 3 2)) (* (log (cos x)) 3) (* (log (cos x)) 3) (* 1 3) (pow (cos x) (* (cbrt 3) (cbrt 3))) (pow (cos x) (sqrt 3)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow 1 3) (pow (cos x) 3) (* (cos x) (cos x)) (log (pow (cos x) 3)) (exp (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (cbrt (pow (cos x) 3)) (* (* (pow (cos x) 3) (pow (cos x) 3)) (pow (cos x) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (pow (cbrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3) (pow 1 3) (pow (cos x) 3) (* (cos x) (cos x)) (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3)) (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)) (* (exp (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 3/2 (pow x 2)) (* 3 (pow x 3))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- 1 (+ (* 9/2 (pow x 2)) (* 9 (pow x 3)))) (pow (cos x) 9) (pow (cos x) 9) (- 1 (+ (* 3/2 (pow x 2)) (* 3 (pow x 3)))) (pow (cos x) 3) (pow (cos x) 3) (- 2.0 (+ (* 1/2 (pow x 2)) (pow x 3))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) 1.265 * * [simplify]: iteration 0 : 414 enodes (cost 1013 ) 1.272 * * [simplify]: iteration 1 : 1536 enodes (cost 952 ) 1.312 * * [simplify]: iteration 2 : 5001 enodes (cost 915 ) 1.318 * [simplify]: Simplified to: (exp (- (pow 1.0 3) (pow (cos x) 3))) (log (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (exp (- (pow 1.0 3) (pow (cos x) 3))) (* (cbrt (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (cbrt (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3))))) (cbrt (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (pow (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3))) 3) (sqrt (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (sqrt (- (pow 1.0 3) (cbrt (pow (pow (cos x) 3) 3)))) (+ (pow (pow 1.0 3) 3) (neg (pow (pow (cos x) 3) 3))) (+ (* (pow (cos x) 3) (+ (pow (cos x) 3) (pow 1.0 3))) (pow 1.0 6)) (neg (pow (cos x) 3)) (- (pow 1.0 6) (pow (cos x) 6)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (pow (cos x) 3/2) (pow (sqrt 1.0) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (cos x) 3/2) (pow (sqrt 1.0) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow (cos x) 3)) (pow (sqrt 1.0) 3)) (+ (pow (sqrt 1.0) 3) (neg 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1.0) 3)) (+ (pow (sqrt 1.0) 3) (neg (sqrt (pow (cos x) 3)))) (+ (pow (cos x) 3/2) (pow (sqrt 1.0) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (cos x) 3/2) (pow (sqrt 1.0) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (cos x) 3/2) (pow (sqrt 1.0) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow (cos x) 3)) (pow (sqrt 1.0) 3)) (+ (pow (sqrt 1.0) 3) (neg (sqrt (pow (cos x) 3)))) (+ (pow (cos x) 3/2) (pow (sqrt 1.0) 3)) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (- (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (+ (sqrt (pow (cos x) 3)) (pow (sqrt 1.0) 3)) (+ (pow (sqrt 1.0) 3) (neg (sqrt (pow (cos x) 3)))) (+ (sqrt (pow (cos x) 3)) (pow (sqrt 1.0) 3)) (+ (pow (sqrt 1.0) 3) (neg (sqrt (pow (cos x) 3)))) (+ (pow (cos x) 3/2) (sqrt (pow 1.0 3))) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (pow (cos x) 3/2) (sqrt (pow 1.0 3))) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow (cos x) 3)) (sqrt (pow 1.0 3))) (+ (sqrt (pow 1.0 3)) (neg (sqrt (pow (cos x) 3)))) (+ (pow (cos x) 3/2) (sqrt (pow 1.0 3))) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (pow (cos x) 3/2) (sqrt (pow 1.0 3))) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (pow (cos x) 3/2) (sqrt (pow 1.0 3))) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow (cos x) 3)) (sqrt (pow 1.0 3))) (+ (sqrt (pow 1.0 3)) (neg (sqrt (pow (cos x) 3)))) (+ (pow (cos x) 3/2) (sqrt (pow 1.0 3))) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow 1.0 3)) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (- (sqrt (pow 1.0 3)) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (+ (sqrt (pow (cos x) 3)) (sqrt (pow 1.0 3))) (+ (sqrt (pow 1.0 3)) (neg (sqrt (pow (cos x) 3)))) (+ (sqrt (pow (cos x) 3)) (sqrt (pow 1.0 3))) (+ (sqrt (pow 1.0 3)) (neg (sqrt (pow (cos x) 3)))) (+ (pow (cos x) 3/2) (pow 1.0 3/2)) (- (pow 1.0 3/2) (pow (sqrt (cos x)) 3)) (+ (pow (cos x) 3/2) (pow 1.0 3/2)) (- (pow 1.0 3/2) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow (cos x) 3)) (pow 1.0 3/2)) (- (pow 1.0 3/2) (sqrt (pow (cos x) 3))) (+ (pow (cos x) 3/2) (pow 1.0 3/2)) (- (pow 1.0 3/2) (pow (sqrt (cos x)) 3)) (+ (pow (cos x) 3/2) (pow 1.0 3/2)) (- (pow 1.0 3/2) (pow (sqrt (cos x)) 3)) (+ (pow (cos x) 3/2) (pow 1.0 3/2)) (- (pow 1.0 3/2) (pow (sqrt (cos x)) 3)) (+ (sqrt (pow (cos x) 3)) (pow 1.0 3/2)) (- (pow 1.0 3/2) (sqrt (pow (cos x) 3))) (+ (pow (cos x) 3/2) (pow 1.0 3/2)) (- (pow 1.0 3/2) (pow (sqrt (cos x)) 3)) (+ (pow 1.0 3/2) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (- (pow 1.0 3/2) (cbrt (sqrt (pow (pow (cos x) 3) 3)))) (+ (sqrt (pow (cos x) 3)) (pow 1.0 3/2)) (- (pow 1.0 3/2) (sqrt (pow (cos x) 3))) (+ (sqrt (pow (cos x) 3)) (pow 1.0 3/2)) (- (pow 1.0 3/2) (sqrt (pow (cos x) 3))) (- (pow 1.0 3) (pow (cos x) 3)) (neg (pow (cos x) 3)) (* (log (cos x)) 9) (* (log (cos x)) 9) (* (log (cos x)) 9) (* (log (cos x)) 9) 9 (pow (pow (cos x) 3) (* (cbrt 3) (cbrt 3))) (pow (pow (cos x) 3) (sqrt 3)) (pow (cos x) 3) (pow (cos x) 6) (pow (cos x) 3) (pow (pow (cos x) 3/2) 3) (pow (pow (cos x) 3/2) 3) 1 (pow (pow (cos x) 3) 3) (pow (cos x) 6) (pow (cos x) 3) (pow (cos x) 6) (pow (cos x) 3) (pow (cos x) 6) (pow (cos x) 3) (pow (pow (cos x) 3/2) 3) (pow (pow (cos x) 3/2) 3) 1 (pow (pow (cos x) 3) 3) (pow (cos x) 3) (pow (cos x) 6) (pow (pow (cos x) 3) 3/2) (pow (pow (cos x) 3) 3/2) 1 (pow (pow (cos x) 3) 3) (pow (pow (cos x) 3/2) 3) (pow (pow (cos x) 3/2) 3) (pow (cos x) 6) (* (log (cos x)) 9) (exp (pow (pow (cos x) 3) 3)) (pow (cos x) 6) (pow (cos x) 3) (pow (pow (pow (cos x) 3) 3) 3) (pow (cos x) 6) (pow (cos x) 3) (pow (pow (cos x) 3/2) 3) (pow (pow (cos x) 3/2) 3) 1 (pow (pow (cos x) 3) 3) (pow (cos x) 6) (pow (cos x) 3) (pow (cos x) 6) (pow (cos x) 3) (pow (cos x) 6) (pow (cos x) 3) (pow (pow (cos x) 3/2) 3) (pow (pow (cos x) 3/2) 3) 1 (pow (pow (cos x) 3) 3) (pow (cos x) 3) (pow (cos x) 6) (pow (pow (cos x) 3) 3/2) (pow (pow (cos x) 3) 3/2) 1 (pow (pow (cos x) 3) 3) (pow (pow (cos x) 3/2) 3) (pow (pow (cos x) 3/2) 3) (pow (cos x) 6) (sqrt (pow (pow (cos x) 3) 3)) (sqrt (pow (pow (cos x) 3) 3)) (pow (pow (cos x) 3) 3/2) (pow (pow (cos x) 3) 3/2) (log (pow (cos x) 3)) (log (pow (cos x) 3)) 3 (pow (cos x) (* (cbrt 3) (cbrt 3))) (pow (cos x) (sqrt 3)) (cos x) (pow (cos x) 2) (cos x) (pow (cos x) 3/2) (pow (cos x) 3/2) 1 (pow (cos x) 3) (pow (cos x) 2) (log (pow (cos x) 3)) (exp (pow (cos x) 3)) (pow (cos x) 2) (cos x) (pow (pow (cos x) 3) 3) (pow (cos x) 2) (cos x) (pow (cos x) 3/2) (pow (cos x) 3/2) 1 (pow (cos x) 3) (pow (cos x) 2) (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3)) (pow (cos x) 3/2) (pow (cos x) 3/2) (exp (+ (cos x) 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ (cos x) 1.0) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (pow (cos x) 2) (* 1.0 (- 1.0 (cos x)))) (- (pow (cos x) 2) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 3/2 (pow x 2)) (* 3 (pow x 3))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- 1 (+ (* 9/2 (pow x 2)) (* 9 (pow x 3)))) (pow (cos x) 9) (pow (cos x) 9) (- 1 (+ (* 3/2 (pow x 2)) (* 3 (pow x 3)))) (pow (cos x) 3) (pow (cos x) 3) (- 2.0 (+ (* 1/2 (pow x 2)) (pow x 3))) (+ (cos x) 1.0) (+ (cos x) 1.0) 1.319 * * * [progress]: adding candidates to table 1.623 * * [progress]: iteration 4 / 4 1.623 * * * [progress]: picking best candidate 1.695 * * * * [pick]: Picked # 1.695 * * * [progress]: localizing error 1.712 * * * [progress]: generating rewritten candidates 1.712 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.722 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.724 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2) 1.731 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.735 * * * [progress]: generating series expansions 1.735 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.736 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.736 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.736 * [taylor]: Taking taylor expansion of 1.0 in x 1.736 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.736 * [taylor]: Taking taylor expansion of (cos x) in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.736 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.736 * [taylor]: Taking taylor expansion of 1.0 in x 1.736 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.736 * [taylor]: Taking taylor expansion of (cos x) in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.748 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.748 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.748 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.748 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.748 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.748 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.760 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.760 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.760 * [taylor]: Taking taylor expansion of 1.0 in x 1.760 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.760 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.760 * [taylor]: Taking taylor expansion of -1 in x 1.760 * [taylor]: Taking taylor expansion of x in x 1.761 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.761 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.761 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.761 * [taylor]: Taking taylor expansion of -1 in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.772 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.773 * [approximate]: Taking taylor expansion of (pow (cos x) 9) in (x) around 0 1.773 * [taylor]: Taking taylor expansion of (pow (cos x) 9) in x 1.773 * [taylor]: Taking taylor expansion of (cos x) in x 1.773 * [taylor]: Taking taylor expansion of x in x 1.773 * [taylor]: Taking taylor expansion of (pow (cos x) 9) in x 1.773 * [taylor]: Taking taylor expansion of (cos x) in x 1.773 * [taylor]: Taking taylor expansion of x in x 1.781 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 9) in (x) around 0 1.782 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 9) in x 1.782 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 9) in x 1.782 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.800 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 9) in (x) around 0 1.800 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 9) in x 1.800 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.800 * [taylor]: Taking taylor expansion of -1 in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.800 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 9) in x 1.800 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.801 * [taylor]: Taking taylor expansion of -1 in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.824 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2) 1.824 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 1.824 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.824 * [taylor]: Taking taylor expansion of 1.0 in x 1.824 * [taylor]: Taking taylor expansion of (cos x) in x 1.824 * [taylor]: Taking taylor expansion of x in x 1.824 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.824 * [taylor]: Taking taylor expansion of 1.0 in x 1.824 * [taylor]: Taking taylor expansion of (cos x) in x 1.824 * [taylor]: Taking taylor expansion of x in x 1.827 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.827 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.827 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.827 * [taylor]: Taking taylor expansion of x in x 1.827 * [taylor]: Taking taylor expansion of 1.0 in x 1.827 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.827 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.827 * [taylor]: Taking taylor expansion of x in x 1.827 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.829 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.829 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.829 * [taylor]: Taking taylor expansion of -1 in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.829 * [taylor]: Taking taylor expansion of 1.0 in x 1.829 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.830 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.830 * [taylor]: Taking taylor expansion of -1 in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.830 * [taylor]: Taking taylor expansion of 1.0 in x 1.831 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.832 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.832 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.832 * [taylor]: Taking taylor expansion of (cos x) in x 1.832 * [taylor]: Taking taylor expansion of x in x 1.832 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.832 * [taylor]: Taking taylor expansion of (cos x) in x 1.832 * [taylor]: Taking taylor expansion of x in x 1.837 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.837 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.837 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.837 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.846 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.847 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.847 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.847 * [taylor]: Taking taylor expansion of -1 in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.847 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.847 * [taylor]: Taking taylor expansion of -1 in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.856 * * * [progress]: simplifying candidates 1.857 * [simplify]: Simplifying using # : (/ (exp (pow 1.0 3)) (exp (cbrt (pow (cos x) 9)))) (log (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (exp (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (* (cbrt (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (cbrt (- (pow 1.0 3) (cbrt (pow (cos x) 9))))) (cbrt (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (* (* (- (pow 1.0 3) (cbrt (pow (cos x) 9))) (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (sqrt (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (sqrt (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (- (pow (pow 1.0 3) 3) (pow (cbrt (pow (cos x) 9)) 3)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (cbrt (pow (cos x) 9)) (cbrt (pow (cos x) 9))) (* (pow 1.0 3) (cbrt (pow (cos x) 9))))) (neg (cbrt (pow (cos x) 9))) (- (* (pow 1.0 3) (pow 1.0 3)) (* (cbrt (pow (cos x) 9)) (cbrt (pow (cos x) 9)))) (+ (pow 1.0 3) (cbrt (pow (cos x) 9))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (cos x)) 9))) (- (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (cos x)) 9))) (+ (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (cos x) 9)))) (- (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (cos x) 9)))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (cos x) (/ 9 2)))) (- (pow (sqrt 1.0) 3) (cbrt (pow (cos x) (/ 9 2)))) (+ (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (cos x) 9)))) (- (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (cos x) 9)))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (cos x)) 9))) (- (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (cos x)) 9))) (+ (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (cos x) 9)))) (- (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (cos x) 9)))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (cos x) (/ 9 2)))) (- (pow (sqrt 1.0) 3) (cbrt (pow (cos x) (/ 9 2)))) (+ (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (cos x) 9)))) (- (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (cos x) 9)))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (sqrt (cos x)) 9))) (- (sqrt (pow 1.0 3)) (cbrt (pow (sqrt (cos x)) 9))) (+ (sqrt (pow 1.0 3)) (cbrt (sqrt (pow (cos x) 9)))) (- (sqrt (pow 1.0 3)) (cbrt (sqrt (pow (cos x) 9)))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (cos x) (/ 9 2)))) (- (sqrt (pow 1.0 3)) (cbrt (pow (cos x) (/ 9 2)))) (+ (sqrt (pow 1.0 3)) (sqrt (cbrt (pow (cos x) 9)))) (- (sqrt (pow 1.0 3)) (sqrt (cbrt (pow (cos x) 9)))) (+ (pow 1.0 (/ 3 2)) (cbrt (pow (sqrt (cos x)) 9))) (- (pow 1.0 (/ 3 2)) (cbrt (pow (sqrt (cos x)) 9))) (+ (pow 1.0 (/ 3 2)) (cbrt (sqrt (pow (cos x) 9)))) (- (pow 1.0 (/ 3 2)) (cbrt (sqrt (pow (cos x) 9)))) (+ (pow 1.0 (/ 3 2)) (cbrt (pow (cos x) (/ 9 2)))) (- (pow 1.0 (/ 3 2)) (cbrt (pow (cos x) (/ 9 2)))) (+ (pow 1.0 (/ 3 2)) (sqrt (cbrt (pow (cos x) 9)))) (- (pow 1.0 (/ 3 2)) (sqrt (cbrt (pow (cos x) 9)))) (- (pow 1.0 3) (cbrt (pow (cos x) 9))) (neg (cbrt (pow (cos x) 9))) (* (log (cos x)) 9) (* (log (cos x)) 9) (* 1 9) (pow (cos x) (* (cbrt 9) (cbrt 9))) (pow (cos x) (sqrt 9)) (pow (cos x) 1) (pow (* (cbrt (cos x)) (cbrt (cos x))) 9) (pow (cbrt (cos x)) 9) (pow (sqrt (cos x)) 9) (pow (sqrt (cos x)) 9) (pow 1 9) (pow (cos x) 9) (log (pow (cos x) 9)) (exp (pow (cos x) 9)) (* (cbrt (pow (cos x) 9)) (cbrt (pow (cos x) 9))) (cbrt (pow (cos x) 9)) (* (* (pow (cos x) 9) (pow (cos x) 9)) (pow (cos x) 9)) (sqrt (pow (cos x) 9)) (sqrt (pow (cos x) 9)) (pow (cos x) (/ 9 2)) (pow (cos x) (/ 9 2)) (* (exp (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (log (cbrt (pow (cos x) 9))) (exp (cbrt (pow (cos x) 9))) (cbrt (pow (* (cbrt (cos x)) (cbrt (cos x))) 9)) (cbrt (pow (cbrt (cos x)) 9)) (cbrt (pow (sqrt (cos x)) 9)) (cbrt (pow (sqrt (cos x)) 9)) (cbrt (pow 1 9)) (cbrt (pow (cos x) 9)) (cbrt (* (cbrt (pow (cos x) 9)) (cbrt (pow (cos x) 9)))) (cbrt (cbrt (pow (cos x) 9))) (cbrt (sqrt (pow (cos x) 9))) (cbrt (sqrt (pow (cos x) 9))) (cbrt 1) (cbrt (pow (cos x) 9)) (cbrt (pow (cos x) (/ 9 2))) (cbrt (pow (cos x) (/ 9 2))) (* (cbrt (cbrt (pow (cos x) 9))) (cbrt (cbrt (pow (cos x) 9)))) (cbrt (cbrt (pow (cos x) 9))) (* (* (cbrt (pow (cos x) 9)) (cbrt (pow (cos x) 9))) (cbrt (pow (cos x) 9))) (sqrt (cbrt (pow (cos x) 9))) (sqrt (cbrt (pow (cos x) 9))) (- (+ (* 3/2 (pow x 2)) (* 3 (pow x 3))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- 1 (+ (* 9/2 (pow x 2)) (* 9 (pow x 3)))) (pow (cos x) 9) (pow (cos x) 9) (- 2.0 (+ (* 1/2 (pow x 2)) (pow x 3))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- 1 (+ (* 3/2 (pow x 2)) (* 3 (pow x 3)))) (pow (cos x) 3) (pow (cos x) 3) 1.862 * * [simplify]: iteration 0 : 301 enodes (cost 562 ) 1.868 * * [simplify]: iteration 1 : 959 enodes (cost 544 ) 1.887 * * [simplify]: iteration 2 : 3732 enodes (cost 543 ) 1.969 * * [simplify]: iteration 3 : 5001 enodes (cost 541 ) 1.973 * [simplify]: Simplified to: (exp (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (log (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (exp (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (* (cbrt (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (cbrt (- (pow 1.0 3) (cbrt (pow (cos x) 9))))) (cbrt (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (pow (- (pow 1.0 3) (cbrt (pow (cos x) 9))) 3) (sqrt (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (sqrt (- (pow 1.0 3) (cbrt (pow (cos x) 9)))) (+ (pow (pow 1.0 3) 3) (neg (pow (cos x) 9))) (+ (* (cbrt (pow (cos x) 9)) (+ (cbrt (pow (cos x) 9)) (pow 1.0 3))) (pow 1.0 6)) (neg (cbrt (pow (cos x) 9))) (+ (pow 1.0 6) (neg (* (cbrt (pow (cos x) 9)) (cbrt (pow (cos x) 9))))) (+ (pow 1.0 3) (cbrt (pow (cos x) 9))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (cos x)) 9))) (- (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (cos x)) 9))) (+ (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (cos x) 9)))) (- (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (cos x) 9)))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (cos x) 9/2))) (- (pow (sqrt 1.0) 3) (cbrt (pow (cos x) 9/2))) (+ (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (cos x) 9)))) (- (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (cos x) 9)))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (cos x)) 9))) (- (pow (sqrt 1.0) 3) (cbrt (pow (sqrt (cos x)) 9))) (+ (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (cos x) 9)))) (- (pow (sqrt 1.0) 3) (cbrt (sqrt (pow (cos x) 9)))) (+ (pow (sqrt 1.0) 3) (cbrt (pow (cos x) 9/2))) (- (pow (sqrt 1.0) 3) (cbrt (pow (cos x) 9/2))) (+ (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (cos x) 9)))) (- (pow (sqrt 1.0) 3) (sqrt (cbrt (pow (cos x) 9)))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (sqrt (cos x)) 9))) (- (sqrt (pow 1.0 3)) (cbrt (pow (sqrt (cos x)) 9))) (+ (sqrt (pow 1.0 3)) (cbrt (sqrt (pow (cos x) 9)))) (- (sqrt (pow 1.0 3)) (cbrt (sqrt (pow (cos x) 9)))) (+ (sqrt (pow 1.0 3)) (cbrt (pow (cos x) 9/2))) (- (sqrt (pow 1.0 3)) (cbrt (pow (cos x) 9/2))) (+ (sqrt (pow 1.0 3)) (sqrt (cbrt (pow (cos x) 9)))) (- (sqrt (pow 1.0 3)) (sqrt (cbrt (pow (cos x) 9)))) (+ (pow 1.0 3/2) (cbrt (pow (sqrt (cos x)) 9))) (- (pow 1.0 3/2) (cbrt (pow (sqrt (cos x)) 9))) (+ (pow 1.0 3/2) (cbrt (sqrt (pow (cos x) 9)))) (- (pow 1.0 3/2) (cbrt (sqrt (pow (cos x) 9)))) (+ (pow 1.0 3/2) (cbrt (pow (cos x) 9/2))) (- (pow 1.0 3/2) (cbrt (pow (cos x) 9/2))) (+ (pow 1.0 3/2) (sqrt (cbrt (pow (cos x) 9)))) (- (pow 1.0 3/2) (sqrt (cbrt (pow (cos x) 9)))) (- (pow 1.0 3) (cbrt (pow (cos x) 9))) (neg (cbrt (pow (cos x) 9))) (log (pow (cos x) 9)) (log (pow (cos x) 9)) 9 (pow (cos x) (* (cbrt 9) (cbrt 9))) (pow (cos x) (sqrt 9)) (cos x) (pow (* (cbrt (cos x)) (cbrt (cos x))) 9) (pow (cbrt (cos x)) 9) (pow (sqrt (cos x)) 9) (pow (sqrt (cos x)) 9) 1 (pow (cos x) 9) (log (pow (cos x) 9)) (exp (pow (cos x) 9)) (* (cbrt (pow (cos x) 9)) (cbrt (pow (cos x) 9))) (cbrt (pow (cos x) 9)) (pow (pow (cos x) 9) 3) (sqrt (pow (cos x) 9)) (sqrt (pow (cos x) 9)) (pow (cos x) 9/2) (pow (cos x) 9/2) (exp (+ (cos x) 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ (cos x) 1.0) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (- (cos x) 1.0)) (* 1.0 1.0)) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (log (cbrt (pow (cos x) 9))) (exp (cbrt (pow (cos x) 9))) (cbrt (pow (* (cbrt (cos x)) (cbrt (cos x))) 9)) (cbrt (pow (cbrt (cos x)) 9)) (cbrt (pow (sqrt (cos x)) 9)) (cbrt (pow (sqrt (cos x)) 9)) 1 (cbrt (pow (cos x) 9)) (cbrt (* (cbrt (pow (cos x) 9)) (cbrt (pow (cos x) 9)))) (cbrt (cbrt (pow (cos x) 9))) (cbrt (sqrt (pow (cos x) 9))) (cbrt (sqrt (pow (cos x) 9))) 1 (cbrt (pow (cos x) 9)) (cbrt (pow (cos x) 9/2)) (cbrt (pow (cos x) 9/2)) (* (cbrt (cbrt (pow (cos x) 9))) (cbrt (cbrt (pow (cos x) 9)))) (cbrt (cbrt (pow (cos x) 9))) (pow (cos x) 9) (sqrt (cbrt (pow (cos x) 9))) (sqrt (cbrt (pow (cos x) 9))) (- (+ (* 3/2 (pow x 2)) (* 3 (pow x 3))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- 1 (+ (* 9/2 (pow x 2)) (* 9 (pow x 3)))) (pow (cos x) 9) (pow (cos x) 9) (- 2.0 (+ (* 1/2 (pow x 2)) (pow x 3))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- 1 (+ (* 3/2 (pow x 2)) (* 3 (pow x 3)))) (pow (cos x) 3) (pow (cos x) 3) 1.973 * * * [progress]: adding candidates to table 2.278 * [progress]: [Phase 3 of 3] Extracting. 2.278 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # #) 2.282 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 2.282 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # # # # # #) 2.396 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # #) 2.434 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # # # #) 2.552 * * * [regime]: Found split indices: #