41.296 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.130 * * * [progress]: [2/2] Setting up program. 0.133 * [progress]: [Phase 2 of 3] Improving. 0.133 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.135 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.136 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.138 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.139 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.139 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.139 * * [progress]: iteration 1 / 4 0.139 * * * [progress]: picking best candidate 0.141 * * * * [pick]: Picked # 0.141 * * * [progress]: localizing error 0.148 * * * [progress]: generating rewritten candidates 0.148 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.151 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.160 * * * [progress]: generating series expansions 0.160 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.160 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (cos x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (cos x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.178 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.183 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.183 * [taylor]: Taking taylor expansion of -1 in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.183 * [taylor]: Taking taylor expansion of -1 in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.187 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.187 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 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 0.191 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (cos x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (sin x) in x 0.191 * [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 x in x 0.209 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [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 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [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 x in x 0.215 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.215 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.216 * [taylor]: Taking taylor expansion of -1 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.216 * [taylor]: Taking taylor expansion of -1 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.222 * * * [progress]: simplifying candidates 0.223 * [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)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (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))) (- (- 1.0 (cos x))) (- (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)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.227 * * [simplify]: iteration 0 : 233 enodes (cost 396 ) 0.232 * * [simplify]: iteration 1 : 673 enodes (cost 373 ) 0.244 * * [simplify]: iteration 2 : 2654 enodes (cost 373 ) 0.304 * * [simplify]: iteration 3 : 5001 enodes (cost 373 ) 0.306 * [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)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (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))) (- (- 1.0 (cos x))) (- (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))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.307 * * * [progress]: adding candidates to table 0.435 * * [progress]: iteration 2 / 4 0.435 * * * [progress]: picking best candidate 0.468 * * * * [pick]: Picked # 0.468 * * * [progress]: localizing error 0.483 * * * [progress]: generating rewritten candidates 0.483 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.498 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 0.501 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.502 * * * * [progress]: [ 4 / 4 ] rewriting at (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 0.589 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 0.590 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.590 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.590 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.602 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 0.602 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.603 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.603 * [taylor]: Taking taylor expansion of -1 in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.603 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.603 * [taylor]: Taking taylor expansion of -1 in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.615 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 0.615 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 0.615 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of (cos x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 0.615 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of (cos x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.620 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 0.620 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.620 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.620 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 0.622 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 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 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.623 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.625 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 0.625 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.625 * [taylor]: Taking taylor expansion of (cos x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.625 * [taylor]: Taking taylor expansion of (cos x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.634 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 0.634 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) 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 (pow (cos (/ 1 x)) 3) 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 0.643 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.643 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.644 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.644 * [taylor]: Taking taylor expansion of -1 in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.653 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.654 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) in (x) around 0 0.654 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) in x 0.654 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.654 * [taylor]: Taking taylor expansion of (cos x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))) in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 0.654 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.654 * [taylor]: Taking taylor expansion of (cos x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (cos x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) in x 0.660 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.660 * [taylor]: Taking taylor expansion of (cos x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x)))) in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 0.660 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 0.660 * [taylor]: Taking taylor expansion of (cos x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (cos x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.711 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in (x) around 0 0.712 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in x 0.712 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.712 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 0.712 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 0.713 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.713 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0))) in x 0.714 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.714 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.714 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (+ (pow (cos (/ 1 x)) 2) 1.0)) in x 0.714 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 0.714 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ 1 x)) 2) 1.0) in x 0.715 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 0.715 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in (x) around 0 0.747 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in x 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.747 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.747 * [taylor]: Taking taylor expansion of -1 in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) in x 0.747 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.747 * [taylor]: Taking taylor expansion of -1 in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) 1.0) in x 0.748 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.748 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.748 * [taylor]: Taking taylor expansion of -1 in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0))) in x 0.749 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.749 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.749 * [taylor]: Taking taylor expansion of -1 in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (+ (pow (cos (/ -1 x)) 2) 1.0)) in x 0.750 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.750 * [taylor]: Taking taylor expansion of -1 in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (+ (pow (cos (/ -1 x)) 2) 1.0) in x 0.750 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 0.750 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.750 * [taylor]: Taking taylor expansion of -1 in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * * * [progress]: simplifying candidates 0.790 * [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)))) (- (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)) (- (pow (cos x) 3)) (* (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 (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)) (- (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (log (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (exp (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (* (* (- (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3))) (- (pow 1.0 3) (pow (cos x) 3))) (* (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (* (cbrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (cbrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (cbrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (* (* (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (sqrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (sqrt (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (- (- (pow 1.0 3) (pow (cos x) 3))) (- (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (pow 1.0 3) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (pow (cos x) 3) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (* (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) 1) (/ (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (sqrt (- (pow 1.0 3) (pow (cos x) 3))) 1) (/ (sqrt (- (pow 1.0 3) (pow (cos x) 3))) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- 1.0 (cos x)) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- 1.0 (cos x)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) 1) (/ (- 1.0 (cos x)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ 1 (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ 1 (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ 1 1) (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) 1) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) 1) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (+ (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) 1) (/ (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3))) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (+ (pow (sqrt 1.0) 3) (pow (cos x) (/ 3 2))) (* (cbrt (+ (* (cos x) (+ 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1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ 1 (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) 1 (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ 1 (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ 1 (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) 1 (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ 1 (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ 1 (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) 1 (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ 1 (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (* (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (cbrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sqrt (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)))) (- (pow 1.0 3) (pow (cos x) 3)) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (sqrt (- (pow 1.0 3) (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- 1.0 (cos x))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (sqrt (pow 1.0 3)) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3/2) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3/2) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3/2) (sqrt (pow (cos x) 3)))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3/2) (pow (cos x) 3/2))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (pow 1.0 6) (pow (* (cos x) (+ (cos x) 1.0)) 3))) (/ (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (pow (cos x) 2) (* (+ (cos x) 1.0) (+ (cos x) 1.0))) (- (* (pow 1.0 3) 1.0)))) (* (+ (+ (pow 1.0 6) (pow (cos x) 6)) (* (pow 1.0 3) (pow (cos x) 3))) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (cos x) 3))) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) (- (+ (* 0.5 (pow x 2)) (* 0.00138888888888887 (pow x 6))) (* 0.041666666666666685 (pow x 4))) (/ (- 1.0 (pow (cos x) 3)) (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0))) (/ (- 1.0 (pow (cos x) 3)) (+ (pow (cos x) 2) (+ (* 1.0 (cos x)) 1.0))) 0.883 * * * [progress]: adding candidates to table 1.306 * * [progress]: iteration 3 / 4 1.307 * * * [progress]: picking best candidate 1.355 * * * * [pick]: Picked # 1.355 * * * [progress]: localizing error 1.373 * * * [progress]: generating rewritten candidates 1.373 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 1.375 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.379 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2) 1.385 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.390 * * * [progress]: generating series expansions 1.390 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 1.390 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.390 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.390 * [taylor]: Taking taylor expansion of 1.0 in x 1.390 * [taylor]: Taking taylor expansion of (cos x) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.390 * [taylor]: Taking taylor expansion of 1.0 in x 1.390 * [taylor]: Taking taylor expansion of (cos x) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.400 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.404 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.404 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.404 * [taylor]: Taking taylor expansion of 1.0 in x 1.404 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.404 * [taylor]: Taking taylor expansion of -1 in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.405 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.405 * [taylor]: Taking taylor expansion of -1 in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.408 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.408 * [approximate]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in (x) around 0 1.408 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.408 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.408 * [taylor]: Taking taylor expansion of (cos x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of (cos x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.408 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.408 * [taylor]: Taking taylor expansion of (cos x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of (cos x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.424 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in (x) around 0 1.424 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.424 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.424 * [taylor]: Taking taylor expansion of 1.0 in x 1.424 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.424 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.425 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.425 * [taylor]: Taking taylor expansion of 1.0 in x 1.425 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.425 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.437 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in (x) around 0 1.437 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.437 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.437 * [taylor]: Taking taylor expansion of -1 in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.438 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.438 * [taylor]: Taking taylor expansion of -1 in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.438 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.438 * [taylor]: Taking taylor expansion of 1.0 in x 1.438 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.438 * [taylor]: Taking taylor expansion of -1 in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.438 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.439 * [taylor]: Taking taylor expansion of -1 in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.451 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2) 1.451 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 1.451 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.451 * [taylor]: Taking taylor expansion of 1.0 in x 1.451 * [taylor]: Taking taylor expansion of (cos x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.451 * [taylor]: Taking taylor expansion of 1.0 in x 1.451 * [taylor]: Taking taylor expansion of (cos x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.455 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.455 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.455 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.456 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.458 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.458 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.458 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.458 * [taylor]: Taking taylor expansion of -1 in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of 1.0 in x 1.458 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.458 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.458 * [taylor]: Taking taylor expansion of -1 in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 1.461 * [approximate]: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 1.461 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.461 * [taylor]: Taking taylor expansion of (cos x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.461 * [taylor]: Taking taylor expansion of (cos x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.472 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 1.472 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.472 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.473 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.478 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in (x) around 0 1.478 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.478 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.478 * [taylor]: Taking taylor expansion of -1 in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.478 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.478 * [taylor]: Taking taylor expansion of -1 in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.483 * * * [progress]: simplifying candidates 1.484 * [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)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* (exp (* (cos x) (cos x))) (exp (* 1.0 (cos x)))) (log (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (exp (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (* (+ (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (pow (* (cos x) (cos x)) 3) (pow (* 1.0 (cos x)) 3)) (+ (* (* (cos x) (cos x)) (* (cos x) (cos x))) (- (* (* 1.0 (cos x)) (* 1.0 (cos x))) (* (* (cos x) (cos x)) (* 1.0 (cos x))))) (- (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* 1.0 (cos x)) (* 1.0 (cos x)))) (- (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (cos x) 1.0) (+ (* 1/2 (cos (* 2 x))) (* 1.0 (cos x))) (* (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) (* 1/2 (cos (* 2 x))) (+ (cos (+ x x)) (cos (- x x))) (+ 1 1) (* (cos x) (cos x)) (+ 1 1) (+ (log (cos x)) (log (cos x))) (log (* (cos x) (cos x))) (exp (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (sqrt (* (cos x) (cos x))) (* (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cbrt (cos x)) (cbrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 1 1) (* (cos x) (cos x)) (* (sqrt (cos x)) (sqrt (cos x))) (* (sqrt (cos x)) (sqrt (cos x))) (* 2 1) (* (cos x) (* (cbrt (cos x)) (cbrt (cos x)))) (* (cos x) (sqrt (cos x))) (* (cos x) 1) (* (cbrt (cos x)) (cos x)) (* (sqrt (cos x)) (cos x)) (* (cos x) (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)) (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) (+ (pow (cos x) 2) (* 1.0 (cos x))) (+ (pow (cos x) 2) (* 1.0 (cos x))) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) 1.489 * * [simplify]: iteration 0 : 293 enodes (cost 370 ) 1.496 * * [simplify]: iteration 1 : 1182 enodes (cost 322 ) 1.524 * * [simplify]: iteration 2 : 5001 enodes (cost 313 ) 1.526 * [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)) (- (cos x)) (- (* 1.0 1.0) (pow (cos x) 2)) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (pow (exp (cos x)) (+ 1.0 (cos x))) (+ (log (cos x)) (log (+ 1.0 (cos x)))) (pow (exp (cos x)) (+ 1.0 (cos x))) (* (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (pow (* (cos x) (+ (cos x) 1.0)) 3) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (pow (cos x) 3) (+ (pow (cos x) 3) (pow 1.0 3))) (* (pow (cos x) 2) (+ (* 1.0 (- 1.0 (cos x))) (pow (cos x) 2))) (* (pow (cos x) 2) (- (pow (cos x) 2) (* 1.0 1.0))) (* (cos x) (- (cos x) 1.0)) (+ 1.0 (cos x)) (+ (* 1/2 (cos (* 2 x))) (* 1.0 (cos x))) (exp (+ (cos x) 1.0)) (log (+ 1.0 (cos x))) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ 1.0 (cos x)) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* 1.0 (- 1.0 (cos x))) (pow (cos x) 2)) (- (pow (cos x) 2) (* 1.0 1.0)) (- (cos x) 1.0) (+ 1.0 (cos x)) (* 1/2 (cos (* 2 x))) (+ (cos (+ x x)) (cos (- x x))) 2 (pow (cos x) 2) 2 (* 2 (log (cos x))) (* 2 (log (cos x))) (exp (pow (cos x) 2)) (pow (cos x) 6) (* (cbrt (* (cos x) (cos x))) (cbrt (* (cos x) (cos x)))) (cbrt (* (cos x) (cos x))) (pow (cos x) 6) (fabs (cos x)) (fabs (cos x)) (pow (cbrt (cos x)) 4) (* (cbrt (cos x)) (cbrt (cos x))) (cos x) (cos x) 1 (pow (cos x) 2) (cos x) (cos x) 2 (* (pow (cbrt (cos x)) 4) (cbrt (cos x))) (pow (sqrt (cos x)) 3) (cos x) (pow (cbrt (cos x)) 4) (pow (sqrt (cos x)) 3) (pow (cos 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)) (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) 1.526 * * * [progress]: adding candidates to table 1.736 * * [progress]: iteration 4 / 4 1.736 * * * [progress]: picking best candidate 1.785 * * * * [pick]: Picked # 1.785 * * * [progress]: localizing error 1.806 * * * [progress]: generating rewritten candidates 1.806 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 1.810 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.814 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2) 1.816 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 1.820 * * * [progress]: generating series expansions 1.820 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 1.820 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.820 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [taylor]: Taking taylor expansion of (cos x) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.820 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [taylor]: Taking taylor expansion of (cos x) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.831 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.831 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.831 * [taylor]: Taking taylor expansion of 1.0 in x 1.831 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.831 * [taylor]: Taking taylor expansion of 1.0 in x 1.831 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.835 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.835 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.835 * [taylor]: Taking taylor expansion of 1.0 in x 1.835 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.835 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.835 * [taylor]: Taking taylor expansion of -1 in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.836 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.836 * [taylor]: Taking taylor expansion of 1.0 in x 1.836 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.836 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.836 * [taylor]: Taking taylor expansion of -1 in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.839 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.839 * [approximate]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in (x) around 0 1.839 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.839 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.839 * [taylor]: Taking taylor expansion of (cos x) in x 1.839 * [taylor]: Taking taylor expansion of x in x 1.839 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.839 * [taylor]: Taking taylor expansion of 1.0 in x 1.839 * [taylor]: Taking taylor expansion of (cos x) in x 1.839 * [taylor]: Taking taylor expansion of x in x 1.839 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.840 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.840 * [taylor]: Taking taylor expansion of (cos x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.840 * [taylor]: Taking taylor expansion of 1.0 in x 1.840 * [taylor]: Taking taylor expansion of (cos x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.859 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in (x) around 0 1.859 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.859 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.859 * [taylor]: Taking taylor expansion of 1.0 in x 1.859 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.860 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.860 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.860 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.860 * [taylor]: Taking taylor expansion of 1.0 in x 1.860 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.860 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.873 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in (x) around 0 1.873 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.873 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.873 * [taylor]: Taking taylor expansion of 1.0 in x 1.873 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.873 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.873 * [taylor]: Taking taylor expansion of -1 in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.874 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.874 * [taylor]: Taking taylor expansion of -1 in x 1.874 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.874 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.874 * [taylor]: Taking taylor expansion of 1.0 in x 1.874 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.874 * [taylor]: Taking taylor expansion of -1 in x 1.874 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.874 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.874 * [taylor]: Taking taylor expansion of -1 in x 1.874 * [taylor]: Taking taylor expansion of x in x 1.886 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2) 1.886 * [approximate]: Taking taylor expansion of (+ 1.0 (cos x)) in (x) around 0 1.886 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.886 * [taylor]: Taking taylor expansion of 1.0 in x 1.886 * [taylor]: Taking taylor expansion of (cos x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (+ 1.0 (cos x)) in x 1.886 * [taylor]: Taking taylor expansion of 1.0 in x 1.886 * [taylor]: Taking taylor expansion of (cos x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.891 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.891 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.891 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.891 * [taylor]: Taking taylor expansion of 1.0 in x 1.891 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.891 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.892 * [taylor]: Taking taylor expansion of 1.0 in x 1.893 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.893 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.893 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.893 * [taylor]: Taking taylor expansion of -1 in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.894 * [taylor]: Taking taylor expansion of 1.0 in x 1.894 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.894 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.894 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.894 * [taylor]: Taking taylor expansion of -1 in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.894 * [taylor]: Taking taylor expansion of 1.0 in x 1.896 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 1.896 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 1.896 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.896 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.896 * [taylor]: Taking taylor expansion of 1.0 in x 1.896 * [taylor]: Taking taylor expansion of (cos x) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.898 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.899 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.899 * [taylor]: Taking taylor expansion of 1.0 in x 1.899 * [taylor]: Taking taylor expansion of (cos x) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.921 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.921 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.921 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.921 * [taylor]: Taking taylor expansion of 1.0 in x 1.921 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.922 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.922 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.922 * [taylor]: Taking taylor expansion of 1.0 in x 1.922 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.922 * [taylor]: Taking taylor expansion of x in x 1.949 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.949 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.949 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.949 * [taylor]: Taking taylor expansion of 1.0 in x 1.949 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.949 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.949 * [taylor]: Taking taylor expansion of -1 in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.949 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.950 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.950 * [taylor]: Taking taylor expansion of 1.0 in x 1.950 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.950 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.950 * [taylor]: Taking taylor expansion of -1 in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.972 * * * [progress]: simplifying candidates 1.973 * [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)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* (exp (* (cos x) (cos x))) (exp (* 1.0 (cos x)))) (log (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (exp (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (* (+ (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (pow (* (cos x) (cos x)) 3) (pow (* 1.0 (cos x)) 3)) (+ (* (* (cos x) (cos x)) (* (cos x) (cos x))) (- (* (* 1.0 (cos x)) (* 1.0 (cos x))) (* (* (cos x) (cos x)) (* 1.0 (cos x))))) (- (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* 1.0 (cos x)) (* 1.0 (cos x)))) (- (* (cos x) (cos x)) (* 1.0 (cos x))) (+ (cos x) 1.0) (+ (* 1/2 (cos (* 2 x))) (* 1.0 (cos x))) (* (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 (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 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)) (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) (+ (pow (cos x) 2) (* 1.0 (cos x))) (+ (pow (cos x) 2) (* 1.0 (cos x))) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) 1.978 * * [simplify]: iteration 0 : 276 enodes (cost 390 ) 1.983 * * [simplify]: iteration 1 : 909 enodes (cost 342 ) 2.000 * * [simplify]: iteration 2 : 2915 enodes (cost 338 ) 2.058 * * [simplify]: iteration 3 : 5001 enodes (cost 338 ) 2.060 * [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)) (- (cos x)) (- (* 1.0 1.0) (pow (cos x) 2)) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (pow (exp (cos x)) (+ 1.0 (cos x))) (+ (log (cos x)) (log (+ 1.0 (cos x)))) (pow (exp (cos x)) (+ 1.0 (cos x))) (* (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (pow (* (cos x) (+ (cos x) 1.0)) 3) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sqrt (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (* (pow (cos x) 3) (+ (pow (cos x) 3) (pow 1.0 3))) (* (pow (cos x) 2) (+ (* 1.0 (- 1.0 (cos x))) (pow (cos x) 2))) (* (pow (cos x) 2) (- (pow (cos x) 2) (* 1.0 1.0))) (* (cos x) (- (cos x) 1.0)) (+ 1.0 (cos x)) (+ (* 1/2 (cos (* 2 x))) (* 1.0 (cos x))) (exp (+ (cos x) 1.0)) (log (+ 1.0 (cos x))) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ 1.0 (cos x)) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* 1.0 (- 1.0 (cos x))) (pow (cos x) 2)) (- (pow (cos x) 2) (* 1.0 1.0)) (- (cos x) 1.0) (+ 1.0 (cos x)) (* 2 (log (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) 0 (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) 0 (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (pow (log (- 1.0 (cos x))) 3) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 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)) (- (+ (* 0.375 (pow x 4)) 2.0) (* 1.5 (pow x 2))) (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) 2.060 * * * [progress]: adding candidates to table 2.287 * [progress]: [Phase 3 of 3] Extracting. 2.287 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 2.293 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.293 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # #) 2.374 * * * [regime]: Found split indices: #