4.131 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.140 * * * [progress]: [2/2] Setting up program. 0.142 * [progress]: [Phase 2 of 3] Improving. 0.142 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.144 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.145 * * [simplify]: iteration 1 : 14 enodes (cost 4 ) 0.146 * * [simplify]: iteration 2 : 16 enodes (cost 4 ) 0.148 * * [simplify]: iteration 3 : 16 enodes (cost 4 ) 0.148 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.148 * * [progress]: iteration 1 / 4 0.148 * * * [progress]: picking best candidate 0.150 * * * * [pick]: Picked # 0.150 * * * [progress]: localizing error 0.157 * * * [progress]: generating rewritten candidates 0.157 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.159 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.163 * * * [progress]: generating series expansions 0.163 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.163 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (cos x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (cos x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.174 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [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 -1 in x 0.178 * [taylor]: Taking taylor expansion of x in x 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 -1 in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.181 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.182 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (cos x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (sin x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (cos x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (sin x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.202 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.202 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [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 0.214 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.215 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.215 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.220 * * * [progress]: simplifying candidates 0.221 * [simplify]: Simplifying using # : (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ 1 (sin 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)) 0.224 * * [simplify]: iteration 0 : 124 enodes (cost 74 ) 0.227 * * [simplify]: iteration 1 : 332 enodes (cost 72 ) 0.233 * * [simplify]: iteration 2 : 964 enodes (cost 72 ) 0.256 * * [simplify]: iteration 3 : 3956 enodes (cost 71 ) 0.366 * * [simplify]: iteration 4 : 5001 enodes (cost 71 ) 0.368 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- (cos x) 1.0) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (* (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))) (sin x)) (* (sin x) (+ 1.0 (cos x))) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.368 * * * [progress]: adding candidates to table 0.400 * * [progress]: iteration 2 / 4 0.400 * * * [progress]: picking best candidate 0.413 * * * * [pick]: Picked # 0.413 * * * [progress]: localizing error 0.427 * * * [progress]: generating rewritten candidates 0.427 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 0.428 * * * [progress]: generating series expansions 0.428 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 0.428 * [approximate]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in (x) around 0 0.428 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x 0.428 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x)) 0.428 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.428 * [taylor]: Taking taylor expansion of 1/240 in x 0.428 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.428 * [taylor]: Taking taylor expansion of 1/2 in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x 0.428 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x)) 0.428 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x 0.428 * [taylor]: Taking taylor expansion of 1/240 in x 0.428 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.428 * [taylor]: Taking taylor expansion of 1/2 in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.455 * [approximate]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x 0.455 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x)) 0.455 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x 0.455 * [taylor]: Taking taylor expansion of 1/240 in x 0.455 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.456 * [taylor]: Taking taylor expansion of 1/2 in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x 0.456 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x)) 0.456 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x 0.456 * [taylor]: Taking taylor expansion of 1/240 in x 0.456 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.457 * [taylor]: Taking taylor expansion of 1/2 in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.500 * [approximate]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in (x) around 0 0.500 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x 0.501 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x)) 0.501 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x 0.501 * [taylor]: Taking taylor expansion of 1/240 in x 0.501 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.501 * [taylor]: Taking taylor expansion of -1/2 in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x 0.501 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x)) 0.502 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x 0.502 * [taylor]: Taking taylor expansion of 1/240 in x 0.502 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.502 * [taylor]: Taking taylor expansion of -1/2 in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.544 * * * [progress]: simplifying candidates 0.544 * [simplify]: Simplifying using # : (* 1/240 (pow x 5)) (+ (* 1/2 x) (* 1/240 (pow x 5))) (+ (* 1/2 x) (* 1/240 (pow x 5))) (+ (* 1/2 x) (* 1/240 (pow x 5))) 0.547 * * [simplify]: iteration 0 : 16 enodes (cost 11 ) 0.548 * * [simplify]: iteration 1 : 28 enodes (cost 11 ) 0.549 * * [simplify]: iteration 2 : 59 enodes (cost 11 ) 0.551 * * [simplify]: iteration 3 : 152 enodes (cost 11 ) 0.557 * * [simplify]: iteration 4 : 691 enodes (cost 11 ) 0.575 * * [simplify]: iteration 5 : 2399 enodes (cost 11 ) 0.655 * * [simplify]: iteration 6 : 5001 enodes (cost 11 ) 0.655 * [simplify]: Simplified to: (* 1/240 (pow x 5)) (fma 1/2 x (* 1/240 (pow x 5))) (fma 1/2 x (* 1/240 (pow x 5))) (fma 1/2 x (* 1/240 (pow x 5))) 0.656 * * * [progress]: adding candidates to table 0.662 * * [progress]: iteration 3 / 4 0.662 * * * [progress]: picking best candidate 0.674 * * * * [pick]: Picked # 0.674 * * * [progress]: localizing error 0.685 * * * [progress]: generating rewritten candidates 0.685 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.687 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.691 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.695 * * * [progress]: generating series expansions 0.695 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.695 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (cos x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (cos x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.706 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.710 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.710 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.710 * [taylor]: Taking taylor expansion of 1.0 in x 0.710 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.710 * [taylor]: Taking taylor expansion of -1 in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.710 * [taylor]: Taking taylor expansion of 1.0 in x 0.710 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.710 * [taylor]: Taking taylor expansion of -1 in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.713 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.713 * [approximate]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in (x) around 0 0.713 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 0.713 * [taylor]: Taking taylor expansion of (sin x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.714 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of (cos x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 0.716 * [taylor]: Taking taylor expansion of (sin x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.716 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [taylor]: Taking taylor expansion of (cos x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.733 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.733 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 0.733 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 0.734 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.741 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 0.741 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.741 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.741 * [taylor]: Taking taylor expansion of -1 in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.741 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.741 * [taylor]: Taking taylor expansion of -1 in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 0.742 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.742 * [taylor]: Taking taylor expansion of -1 in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.742 * [taylor]: Taking taylor expansion of -1 in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.747 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.748 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.748 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.748 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [taylor]: Taking taylor expansion of (cos x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (sin x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.751 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of (cos x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (sin x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.771 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.771 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.771 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.771 * [taylor]: Taking taylor expansion of 1.0 in x 0.771 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.772 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.772 * [taylor]: Taking taylor expansion of 1.0 in x 0.772 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.778 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.778 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.778 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.778 * [taylor]: Taking taylor expansion of 1.0 in x 0.778 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.778 * [taylor]: Taking taylor expansion of -1 in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.778 * [taylor]: Taking taylor expansion of -1 in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.779 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.779 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.779 * [taylor]: Taking taylor expansion of -1 in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.779 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.779 * [taylor]: Taking taylor expansion of -1 in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.785 * * * [progress]: simplifying candidates 0.785 * [simplify]: Simplifying using # : (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- (sin x)) (- (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3))) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- 1) (- (/ (sin x) (- 1.0 (cos x)))) (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ (/ (sin x) (- 1.0 (cos x))) 1) (/ 1 (sin x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (sin x)) (/ 1 (- (sin x))) (/ 1 1) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (* 2 (/ 1 x)) (+ (* 1/360 (pow x 3)) (* 1/6 x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin 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)) 0.788 * * [simplify]: iteration 0 : 145 enodes (cost 122 ) 0.791 * * [simplify]: iteration 1 : 470 enodes (cost 119 ) 0.801 * * [simplify]: iteration 2 : 1902 enodes (cost 117 ) 0.846 * * [simplify]: iteration 3 : 5001 enodes (cost 117 ) 0.847 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- (sin x)) (- (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3))) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- 1) (- (/ (sin x) (- 1.0 (cos x)))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ 1 (sin x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (* (/ (- 1.0 (cos x)) (sin x)) (+ 1.0 (cos x))) (/ 1 (sin x)) (/ 1 (- (sin x))) 1 (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 2 (/ 1 x) (- (fma 1/360 (pow x 3) (* 1/6 x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.847 * * * [progress]: adding candidates to table 0.895 * * [progress]: iteration 4 / 4 0.895 * * * [progress]: picking best candidate 0.911 * * * * [pick]: Picked # 0.911 * * * [progress]: localizing error 0.920 * * * [progress]: generating rewritten candidates 0.920 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.922 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.927 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.930 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.934 * * * [progress]: generating series expansions 0.934 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.934 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.934 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (cos x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (cos x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.944 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.948 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.948 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.948 * [taylor]: Taking taylor expansion of -1 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.952 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.952 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.952 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (cos x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (sin x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.955 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of (cos x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (sin x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.977 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.977 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.977 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.977 * [taylor]: Taking taylor expansion of 1.0 in x 0.977 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.978 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.978 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.984 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.984 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.984 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.984 * [taylor]: Taking taylor expansion of 1.0 in x 0.984 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.984 * [taylor]: Taking taylor expansion of -1 in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.984 * [taylor]: Taking taylor expansion of -1 in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.985 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.985 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.985 * [taylor]: Taking taylor expansion of -1 in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.985 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.985 * [taylor]: Taking taylor expansion of -1 in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.990 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.990 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 0.990 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.990 * [taylor]: Taking taylor expansion of (sin x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 0.991 * [taylor]: Taking taylor expansion of (sin x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.998 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 0.998 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.998 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 0.999 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.001 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 1.001 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.001 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.001 * [taylor]: Taking taylor expansion of -1 in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 1.001 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.001 * [taylor]: Taking taylor expansion of -1 in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.003 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.003 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in (x) around 0 1.003 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in x 1.003 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (cos x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in x 1.006 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of (cos x) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.018 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.018 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in x 1.018 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in x 1.019 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.024 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.024 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in x 1.024 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.024 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.024 * [taylor]: Taking taylor expansion of -1 in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in x 1.025 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.025 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.025 * [taylor]: Taking taylor expansion of -1 in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.030 * * * [progress]: simplifying candidates 1.030 * [simplify]: Simplifying using # : (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- (/ 1 (sin x))) (- (/ 1 (- 1.0 (cos x)))) (/ 1 1) (/ (/ 1 (sin x)) (/ 1 (- 1.0 (cos x)))) (/ 1 (/ 1 (- (pow 1.0 3) (pow (cos x) 3)))) (/ (/ 1 (sin x)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (/ 1 (/ 1 (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (/ 1 (sin x)) (+ 1.0 (cos x))) (/ 1 (/ 1 (- 1.0 (cos x)))) (/ (/ 1 (- 1.0 (cos x))) (/ 1 (sin x))) (/ (/ 1 (sin x)) 1) (/ (/ 1 (sin x)) (/ 1 (- (pow 1.0 3) (pow (cos x) 3)))) (/ (/ 1 (sin x)) (/ 1 (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (/ 1 (- 1.0 (cos x))) (/ 1 (sin x))) (/ (/ 1 (sin x)) 1) (/ (/ 1 (sin x)) (- 1)) (/ (/ 1 (sin x)) 1) (* (/ 1 (- 1.0 (cos x))) (sin x)) (* (/ 1 (- 1.0 (cos x))) (- (sin x))) (* (/ 1 (- 1.0 (cos x))) (/ (sin x) 1)) (- 1) (- (sin x)) (/ 1 (sin x)) (/ (sin x) 1) (- 1) (- (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) 1) (/ 1 (- (pow 1.0 3) (pow (cos x) 3))) (/ 1 (- (* 1.0 1.0) (* (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)) (+ (* 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)) (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x))) (/ 1 (sin x)) (/ 1 (sin x)) (+ (* 1/120 (pow x 2)) (+ (* 2 (/ 1 (pow x 2))) 1/6)) (/ 1 (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) 1.034 * * [simplify]: iteration 0 : 198 enodes (cost 182 ) 1.038 * * [simplify]: iteration 1 : 776 enodes (cost 168 ) 1.056 * * [simplify]: iteration 2 : 4013 enodes (cost 167 ) 1.162 * * [simplify]: iteration 3 : 5002 enodes (cost 167 ) 1.164 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- (/ 1 (sin x))) (- (/ 1 (- 1.0 (cos x)))) 1 (/ (- 1.0 (cos x)) (sin x)) (- (pow 1.0 3) (pow (cos x) 3)) (/ (/ 1 (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (/ (/ 1 (sin x)) (+ 1.0 (cos x))) (- 1.0 (cos x)) (/ (sin x) (- 1.0 (cos x))) (/ 1 (sin x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ 1 (sin x)) (/ 1 (- (sin x))) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- (sin x)) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (- 1) (- (sin x)) (/ 1 (sin x)) (sin x) (- 1) (- (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (- 1.0 (cos x)) (/ 1 (- (pow 1.0 3) (pow (cos x) 3))) (/ 1 (- (* 1.0 1.0) (* (cos x) (cos x)))) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (fma (pow x 3) 7/360 (fma x 1/6 (/ 1 x))) (/ 1 (sin x)) (/ 1 (sin x)) (fma 1/120 (pow x 2) (fma 2 (/ 1 (pow x 2)) 1/6)) (/ 1 (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) 1.164 * * * [progress]: adding candidates to table 1.227 * [progress]: [Phase 3 of 3] Extracting. 1.227 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.229 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 1.229 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # #) 1.285 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 1.338 * * * [regime]: Found split indices: #