10.607 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.138 * * * [progress]: [2/2] Setting up program. 0.140 * [progress]: [Phase 2 of 3] Improving. 0.141 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (sin x)) 0.142 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.142 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.144 * * [simplify]: iteration 2 : 14 enodes (cost 7 ) 0.145 * * [simplify]: iteration 3 : 16 enodes (cost 7 ) 0.147 * * [simplify]: iteration done : 16 enodes (cost 7 ) 0.147 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.147 * * [progress]: iteration 1 / 4 0.147 * * * [progress]: picking best candidate 0.149 * * * * [pick]: Picked # 0.149 * * * [progress]: localizing error 0.156 * * * [progress]: generating rewritten candidates 0.156 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.160 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.170 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.171 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (cos x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.182 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.186 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.189 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.189 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.190 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.190 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.190 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of (cos x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (sin x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (cos x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (sin x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.211 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.211 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.212 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.222 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.222 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.222 * [taylor]: Taking taylor expansion of -1 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.222 * [taylor]: Taking taylor expansion of -1 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.223 * [taylor]: Taking taylor expansion of -1 in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.223 * [taylor]: Taking taylor expansion of -1 in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.229 * * * [progress]: simplifying candidates 0.230 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (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)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin 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)) 0.234 * * [simplify]: iteration 0 : 134 enodes (cost 964 ) 0.257 * * [simplify]: iteration 1 : 291 enodes (cost 831 ) 0.355 * * [simplify]: iteration 2 : 741 enodes (cost 731 ) 0.819 * * [simplify]: iteration 3 : 2753 enodes (cost 719 ) 1.625 * * [simplify]: iteration done : 5000 enodes (cost 718 ) 1.625 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin 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))) (- (cos x) 1.0) (- (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 (cos x)) (sqrt 1.0)) (/ (- (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))) (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (fma (pow x 2) 1/2 (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 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)) 1.626 * * * [progress]: adding candidates to table 1.780 * * [progress]: iteration 2 / 4 1.780 * * * [progress]: picking best candidate 1.806 * * * * [pick]: Picked # 1.806 * * * [progress]: localizing error 1.817 * * * [progress]: generating rewritten candidates 1.817 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.821 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.833 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.847 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.860 * * * [progress]: generating series expansions 1.860 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.860 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.860 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.860 * [taylor]: Taking taylor expansion of 1.0 in x 1.860 * [taylor]: Taking taylor expansion of (cos x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.860 * [taylor]: Taking taylor expansion of 1.0 in x 1.860 * [taylor]: Taking taylor expansion of (cos x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.872 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.872 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.872 * [taylor]: Taking taylor expansion of 1.0 in x 1.872 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.872 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.872 * [taylor]: Taking taylor expansion of 1.0 in x 1.872 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.875 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.875 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.875 * [taylor]: Taking taylor expansion of 1.0 in x 1.875 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.875 * [taylor]: Taking taylor expansion of -1 in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.876 * [taylor]: Taking taylor expansion of 1.0 in x 1.876 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.876 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.876 * [taylor]: Taking taylor expansion of -1 in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.879 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.880 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.880 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.880 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.880 * [taylor]: Taking taylor expansion of 1.0 in x 1.880 * [taylor]: Taking taylor expansion of (cos x) in x 1.880 * [taylor]: Taking taylor expansion of x in x 1.880 * [taylor]: Taking taylor expansion of (sin x) in x 1.880 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.883 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.883 * [taylor]: Taking taylor expansion of 1.0 in x 1.883 * [taylor]: Taking taylor expansion of (cos x) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of (sin x) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.901 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.901 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.901 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.901 * [taylor]: Taking taylor expansion of 1.0 in x 1.901 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.901 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.902 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.902 * [taylor]: Taking taylor expansion of 1.0 in x 1.902 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.907 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.907 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.907 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.907 * [taylor]: Taking taylor expansion of 1.0 in x 1.907 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.907 * [taylor]: Taking taylor expansion of -1 in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.908 * [taylor]: Taking taylor expansion of -1 in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.908 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.908 * [taylor]: Taking taylor expansion of -1 in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.909 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.909 * [taylor]: Taking taylor expansion of -1 in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.914 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.914 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 1.914 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.914 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.914 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.914 * [taylor]: Taking taylor expansion of 1.0 in x 1.914 * [taylor]: Taking taylor expansion of (cos x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [taylor]: Taking taylor expansion of (sin x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.917 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 1.918 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.918 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.918 * [taylor]: Taking taylor expansion of 1.0 in x 1.918 * [taylor]: Taking taylor expansion of (cos x) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [taylor]: Taking taylor expansion of (sin x) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.928 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 1.928 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.928 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.928 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.929 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.929 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 1.929 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.929 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.929 * [taylor]: Taking taylor expansion of 1.0 in x 1.929 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.944 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 1.944 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.944 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.944 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.944 * [taylor]: Taking taylor expansion of 1.0 in x 1.944 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.944 * [taylor]: Taking taylor expansion of -1 in x 1.944 * [taylor]: Taking taylor expansion of x in x 1.945 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.945 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.945 * [taylor]: Taking taylor expansion of -1 in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.945 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 1.945 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.945 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.945 * [taylor]: Taking taylor expansion of 1.0 in x 1.945 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.945 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.945 * [taylor]: Taking taylor expansion of -1 in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.946 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.946 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.946 * [taylor]: Taking taylor expansion of -1 in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.960 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.960 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.960 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.960 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [taylor]: Taking taylor expansion of (cos x) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (sin x) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.963 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.963 * [taylor]: Taking taylor expansion of 1.0 in x 1.963 * [taylor]: Taking taylor expansion of (cos x) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (sin x) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.981 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.981 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.981 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.981 * [taylor]: Taking taylor expansion of 1.0 in x 1.981 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.981 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.982 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.982 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.982 * [taylor]: Taking taylor expansion of 1.0 in x 1.982 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.987 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.987 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.987 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.987 * [taylor]: Taking taylor expansion of 1.0 in x 1.988 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.988 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.988 * [taylor]: Taking taylor expansion of -1 in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.988 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.988 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.988 * [taylor]: Taking taylor expansion of -1 in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.988 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.988 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.989 * [taylor]: Taking taylor expansion of 1.0 in x 1.989 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.989 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.989 * [taylor]: Taking taylor expansion of -1 in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.989 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.989 * [taylor]: Taking taylor expansion of -1 in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.995 * * * [progress]: simplifying candidates 1.997 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (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)) (expm1 (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log1p (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log 1) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ 1.0 (sin x)))) (log (exp (/ (cos x) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))))) (log (exp (sqrt (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1))) (log (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))))) (log (exp (/ (sqrt (- 1.0 (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- 1.0 (cos x)))) (log (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x)))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (* (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (expm1 (exp (/ (- 1.0 (cos x)) (sin x)))) (log1p (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (/ (sqrt (- 1.0 (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp 1) (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (* (* (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin 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)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin 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)) 2.002 * * [simplify]: iteration 0 : 195 enodes (cost 1743 ) 2.038 * * [simplify]: iteration 1 : 367 enodes (cost 1509 ) 2.146 * * [simplify]: iteration 2 : 857 enodes (cost 1372 ) 2.700 * * [simplify]: iteration 3 : 3008 enodes (cost 1333 ) 3.532 * * [simplify]: iteration done : 5000 enodes (cost 1332 ) 3.533 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin x))) (* 2 (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) 0 (/ (- 1.0 (cos x)) (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (sqrt (/ (- 1.0 (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 (- 1.0 (cos x)))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 1 (- 1.0 (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (* (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))) (expm1 (exp (/ (- 1.0 (cos x)) (sin x)))) (log1p (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (+ (sqrt (cos x)) (sqrt 1.0))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E E (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (/ (- 1.0 (cos x)) (sin x)) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (- 1.0 (cos x)) (sin x))) 3) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin 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))) (- (cos x) 1.0) (- (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 (cos x)) (sqrt 1.0)) (* (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 (cos x)) (sqrt 1.0)) (/ (- (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))) (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (fma (pow x 2) 1/2 (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 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 1/8 (pow x 2) (fma 1/2 x 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin 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)) 3.534 * * * [progress]: adding candidates to table 3.856 * * [progress]: iteration 3 / 4 3.856 * * * [progress]: picking best candidate 3.887 * * * * [pick]: Picked # 3.887 * * * [progress]: localizing error 3.896 * * * [progress]: generating rewritten candidates 3.896 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 3.922 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 3.925 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 3.947 * * * [progress]: generating series expansions 3.947 * * * * [progress]: [ 1 / 3 ] generating series at (2) 3.947 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in (x) around 0 3.947 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 3.947 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 3.947 * [taylor]: Taking taylor expansion of 1.0 in x 3.947 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 3.947 * [taylor]: Taking taylor expansion of (sin x) in x 3.947 * [taylor]: Taking taylor expansion of x in x 3.948 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 3.948 * [taylor]: Taking taylor expansion of (cos x) in x 3.948 * [taylor]: Taking taylor expansion of x in x 3.948 * [taylor]: Taking taylor expansion of (sin x) in x 3.948 * [taylor]: Taking taylor expansion of x in x 3.949 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin x))) (/ (cos x) (sin x))) in x 3.949 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin x))) in x 3.949 * [taylor]: Taking taylor expansion of 1.0 in x 3.949 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 3.949 * [taylor]: Taking taylor expansion of (sin x) in x 3.949 * [taylor]: Taking taylor expansion of x in x 3.950 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 3.950 * [taylor]: Taking taylor expansion of (cos x) in x 3.950 * [taylor]: Taking taylor expansion of x in x 3.950 * [taylor]: Taking taylor expansion of (sin x) in x 3.950 * [taylor]: Taking taylor expansion of x in x 3.998 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in (x) around 0 3.998 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 3.998 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 3.998 * [taylor]: Taking taylor expansion of 1.0 in x 3.998 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 3.998 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.998 * [taylor]: Taking taylor expansion of x in x 3.998 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 3.998 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.998 * [taylor]: Taking taylor expansion of x in x 3.999 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.999 * [taylor]: Taking taylor expansion of x in x 3.999 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ 1 x)))) (/ (cos (/ 1 x)) (sin (/ 1 x)))) in x 3.999 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ 1 x)))) in x 3.999 * [taylor]: Taking taylor expansion of 1.0 in x 3.999 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 3.999 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.999 * [taylor]: Taking taylor expansion of x in x 4.000 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 4.000 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.000 * [taylor]: Taking taylor expansion of x in x 4.000 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.000 * [taylor]: Taking taylor expansion of x in x 4.012 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in (x) around 0 4.012 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 4.012 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 4.012 * [taylor]: Taking taylor expansion of 1.0 in x 4.012 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 4.012 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.012 * [taylor]: Taking taylor expansion of -1 in x 4.012 * [taylor]: Taking taylor expansion of x in x 4.013 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 4.013 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.013 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.013 * [taylor]: Taking taylor expansion of -1 in x 4.013 * [taylor]: Taking taylor expansion of x in x 4.019 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.019 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.019 * [taylor]: Taking taylor expansion of -1 in x 4.019 * [taylor]: Taking taylor expansion of x in x 4.020 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sin (/ -1 x)))) (/ (cos (/ -1 x)) (sin (/ -1 x)))) in x 4.020 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sin (/ -1 x)))) in x 4.020 * [taylor]: Taking taylor expansion of 1.0 in x 4.020 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 4.020 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.020 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.020 * [taylor]: Taking taylor expansion of -1 in x 4.020 * [taylor]: Taking taylor expansion of x in x 4.020 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 4.020 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.020 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.021 * [taylor]: Taking taylor expansion of -1 in x 4.021 * [taylor]: Taking taylor expansion of x in x 4.021 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.021 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.021 * [taylor]: Taking taylor expansion of -1 in x 4.021 * [taylor]: Taking taylor expansion of x in x 4.033 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.033 * [approximate]: Taking taylor expansion of (/ (cos x) (sin x)) in (x) around 0 4.033 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 4.033 * [taylor]: Taking taylor expansion of (cos x) in x 4.033 * [taylor]: Taking taylor expansion of x in x 4.033 * [taylor]: Taking taylor expansion of (sin x) in x 4.033 * [taylor]: Taking taylor expansion of x in x 4.034 * [taylor]: Taking taylor expansion of (/ (cos x) (sin x)) in x 4.034 * [taylor]: Taking taylor expansion of (cos x) in x 4.034 * [taylor]: Taking taylor expansion of x in x 4.034 * [taylor]: Taking taylor expansion of (sin x) in x 4.034 * [taylor]: Taking taylor expansion of x in x 4.044 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in (x) around 0 4.045 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 4.045 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.045 * [taylor]: Taking taylor expansion of x in x 4.045 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.045 * [taylor]: Taking taylor expansion of x in x 4.045 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 x)) (sin (/ 1 x))) in x 4.045 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.045 * [taylor]: Taking taylor expansion of x in x 4.046 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.046 * [taylor]: Taking taylor expansion of x in x 4.048 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in (x) around 0 4.048 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 4.048 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.048 * [taylor]: Taking taylor expansion of -1 in x 4.048 * [taylor]: Taking taylor expansion of x in x 4.048 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.048 * [taylor]: Taking taylor expansion of -1 in x 4.048 * [taylor]: Taking taylor expansion of x in x 4.049 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 x)) (sin (/ -1 x))) in x 4.049 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.049 * [taylor]: Taking taylor expansion of -1 in x 4.049 * [taylor]: Taking taylor expansion of x in x 4.049 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.049 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.049 * [taylor]: Taking taylor expansion of -1 in x 4.049 * [taylor]: Taking taylor expansion of x in x 4.051 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 4.051 * [approximate]: Taking taylor expansion of (/ 1.0 (sin x)) in (x) around 0 4.051 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 4.052 * [taylor]: Taking taylor expansion of 1.0 in x 4.052 * [taylor]: Taking taylor expansion of (sin x) in x 4.052 * [taylor]: Taking taylor expansion of x in x 4.052 * [taylor]: Taking taylor expansion of (/ 1.0 (sin x)) in x 4.052 * [taylor]: Taking taylor expansion of 1.0 in x 4.052 * [taylor]: Taking taylor expansion of (sin x) in x 4.052 * [taylor]: Taking taylor expansion of x in x 4.065 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in (x) around 0 4.065 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 4.065 * [taylor]: Taking taylor expansion of 1.0 in x 4.065 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.065 * [taylor]: Taking taylor expansion of x in x 4.065 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ 1 x))) in x 4.065 * [taylor]: Taking taylor expansion of 1.0 in x 4.065 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.065 * [taylor]: Taking taylor expansion of x in x 4.067 * [approximate]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in (x) around 0 4.067 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 4.067 * [taylor]: Taking taylor expansion of 1.0 in x 4.067 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.067 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.067 * [taylor]: Taking taylor expansion of -1 in x 4.067 * [taylor]: Taking taylor expansion of x in x 4.068 * [taylor]: Taking taylor expansion of (/ 1.0 (sin (/ -1 x))) in x 4.068 * [taylor]: Taking taylor expansion of 1.0 in x 4.068 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.068 * [taylor]: Taking taylor expansion of -1 in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.070 * * * [progress]: simplifying candidates 4.075 * [simplify]: Simplifying using # : (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (cbrt (/ (cos x) (sin x))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x))))))) (fma (- (cbrt (/ (cos x) (sin x)))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x)))) (* (cbrt (/ (cos x) (sin x))) (* (cbrt (/ (cos x) (sin x))) (cbrt (/ (cos x) (sin x)))))) (fma (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (- (* (sqrt (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin x)))))) (fma (- (sqrt (/ (cos x) (sin x)))) (sqrt (/ (cos x) (sin x))) (* (sqrt (/ (cos x) (sin x))) (sqrt (/ (cos x) (sin 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(/ 1.0 (sin x))) (pow (/ 1.0 (sin x)) 3) (* (cbrt (/ 1.0 (sin x))) (cbrt (/ 1.0 (sin x)))) (cbrt (/ 1.0 (sin x))) (pow (/ 1.0 (sin x)) 3) (sqrt (/ 1.0 (sin x))) (sqrt (/ 1.0 (sin x))) (- 1.0) (- (sin x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1.0) (cbrt (sin x))) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt (sin x)))) (/ (cbrt 1.0) (sqrt (sin x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sin x)) (/ (sqrt 1.0) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1.0) (cbrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (/ (sqrt 1.0) (sqrt (sin x))) (sqrt 1.0) (/ (sqrt 1.0) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1.0 (sqrt (sin x))) 1 (/ 1.0 (sin x)) (/ 1 (sin x)) (/ (sin x) 1.0) (/ 1.0 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1.0 (sqrt (sin x))) 1.0 (/ (sin x) (cbrt 1.0)) (/ (sin x) (sqrt 1.0)) (/ (sin x) 1.0) (fma 0.04166666666666667 (pow x 3) (fma 0.004166666666666667 (pow x 5) (* 0.5 x))) (* (/ 1 (sin x)) (- 1.0 (cos x))) (* (/ 1 (sin x)) (- 1.0 (cos x))) (- (/ 1 x) (fma 1/45 (pow x 3) (* 1/3 x))) (/ (cos x) (sin x)) (/ (cos x) (sin x)) (fma 0.019444444444444445 (pow x 3) (fma 0.16666666666666666 x (/ 1.0 x))) (/ 1.0 (sin x)) (/ 1.0 (sin x)) 4.801 * * * [progress]: adding candidates to table 5.253 * * [progress]: iteration 4 / 4 5.253 * * * [progress]: picking best candidate 5.281 * * * * [pick]: Picked # 5.281 * * * [progress]: localizing error 5.296 * * * [progress]: generating rewritten candidates 5.296 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.317 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 3 2) 5.320 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 5.322 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.395 * * * [progress]: generating series expansions 5.395 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.396 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 5.396 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 5.396 * [taylor]: Taking taylor expansion of 1.0 in x 5.396 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 5.396 * [taylor]: Taking taylor expansion of (cos x) in x 5.396 * [taylor]: Taking taylor expansion of x in x 5.396 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 5.396 * [taylor]: Taking taylor expansion of 1.0 in x 5.396 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 5.396 * [taylor]: Taking taylor expansion of (cos x) in x 5.396 * [taylor]: Taking taylor expansion of x in x 5.422 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 5.422 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 5.422 * [taylor]: Taking taylor expansion of 1.0 in x 5.422 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 5.422 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.422 * [taylor]: Taking taylor expansion of x in x 5.422 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 5.422 * [taylor]: Taking taylor expansion of 1.0 in x 5.422 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 5.422 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.422 * [taylor]: Taking taylor expansion of x in x 5.435 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 5.435 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 5.435 * [taylor]: Taking taylor expansion of 1.0 in x 5.435 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 5.435 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.435 * [taylor]: Taking taylor expansion of -1 in x 5.435 * [taylor]: Taking taylor expansion of x in x 5.435 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 5.435 * [taylor]: Taking taylor expansion of 1.0 in x 5.435 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 5.435 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.435 * [taylor]: Taking taylor expansion of -1 in x 5.435 * [taylor]: Taking taylor expansion of x in x 5.447 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 3 2) 5.447 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 5.447 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 5.447 * [taylor]: Taking taylor expansion of (cos x) in x 5.447 * [taylor]: Taking taylor expansion of x in x 5.448 * [taylor]: Taking taylor expansion of 1.0 in x 5.448 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 5.448 * [taylor]: Taking taylor expansion of (cos x) in x 5.448 * [taylor]: Taking taylor expansion of x in x 5.448 * [taylor]: Taking taylor expansion of 1.0 in x 5.452 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 5.452 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.452 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.452 * [taylor]: Taking taylor expansion of x in x 5.453 * [taylor]: Taking taylor expansion of 1.0 in x 5.453 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.453 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.453 * [taylor]: Taking taylor expansion of x in x 5.453 * [taylor]: Taking taylor expansion of 1.0 in x 5.455 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 5.455 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.455 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.455 * [taylor]: Taking taylor expansion of -1 in x 5.455 * [taylor]: Taking taylor expansion of x in x 5.455 * [taylor]: Taking taylor expansion of 1.0 in x 5.455 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.455 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.455 * [taylor]: Taking taylor expansion of -1 in x 5.455 * [taylor]: Taking taylor expansion of x in x 5.455 * [taylor]: Taking taylor expansion of 1.0 in x 5.457 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 5.457 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 5.457 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 5.457 * [taylor]: Taking taylor expansion of (cos x) in x 5.457 * [taylor]: Taking taylor expansion of x in x 5.457 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 5.457 * [taylor]: Taking taylor expansion of (cos x) in x 5.457 * [taylor]: Taking taylor expansion of x in x 5.466 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 5.466 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 5.466 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.466 * [taylor]: Taking taylor expansion of x in x 5.466 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 5.466 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.466 * [taylor]: Taking taylor expansion of x in x 5.476 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 5.476 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 5.476 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.476 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.476 * [taylor]: Taking taylor expansion of -1 in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.476 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 5.476 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.476 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.476 * [taylor]: Taking taylor expansion of -1 in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.491 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.491 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (* (fma 1.0 1.0 (* (+ (cos x) 1.0) (cos x))) (sin x))) in (x) around 0 5.491 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (* (fma 1.0 1.0 (* (+ (cos x) 1.0) (cos x))) (sin x))) in x 5.491 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 5.491 * [taylor]: Taking taylor expansion of 1.0 in x 5.491 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 5.491 * [taylor]: Taking taylor expansion of (cos x) in x 5.491 * [taylor]: Taking taylor expansion of x in x 5.492 * [taylor]: Taking taylor expansion of (* (fma 1.0 1.0 (* (+ (cos x) 1.0) (cos x))) (sin x)) in x 5.492 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* (+ (cos x) 1.0) (cos x))) in x 5.493 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* (+ (cos x) 1.0) (cos x))) 5.493 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.493 * [taylor]: Taking taylor expansion of 1.0 in x 5.493 * [taylor]: Taking taylor expansion of 1.0 in x 5.493 * [taylor]: Taking taylor expansion of (* (+ (cos x) 1.0) (cos x)) in x 5.493 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 5.493 * [taylor]: Taking taylor expansion of (cos x) in x 5.493 * [taylor]: Taking taylor expansion of x in x 5.493 * [taylor]: Taking taylor expansion of 1.0 in x 5.493 * [taylor]: Taking taylor expansion of (cos x) in x 5.493 * [taylor]: Taking taylor expansion of x in x 5.493 * [taylor]: Taking taylor expansion of (sin x) in x 5.493 * [taylor]: Taking taylor expansion of x in x 5.503 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (* (fma 1.0 1.0 (* (+ (cos x) 1.0) (cos x))) (sin x))) in x 5.503 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 5.503 * [taylor]: Taking taylor expansion of 1.0 in x 5.503 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 5.503 * [taylor]: Taking taylor expansion of (cos x) in x 5.503 * [taylor]: Taking taylor expansion of x in x 5.503 * [taylor]: Taking taylor expansion of (* (fma 1.0 1.0 (* (+ (cos x) 1.0) (cos x))) (sin x)) in x 5.503 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* (+ (cos x) 1.0) (cos x))) in x 5.503 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* (+ (cos x) 1.0) (cos x))) 5.503 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.503 * [taylor]: Taking taylor expansion of 1.0 in x 5.503 * [taylor]: Taking taylor expansion of 1.0 in x 5.503 * [taylor]: Taking taylor expansion of (* (+ (cos x) 1.0) (cos x)) in x 5.503 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 5.503 * [taylor]: Taking taylor expansion of (cos x) in x 5.503 * [taylor]: Taking taylor expansion of x in x 5.503 * [taylor]: Taking taylor expansion of 1.0 in x 5.503 * [taylor]: Taking taylor expansion of (cos x) in x 5.503 * [taylor]: Taking taylor expansion of x in x 5.503 * [taylor]: Taking taylor expansion of (sin x) in x 5.503 * [taylor]: Taking taylor expansion of x in x 5.574 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (* (fma 1.0 1.0 (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x)))) (sin (/ 1 x)))) in (x) around 0 5.574 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (* (fma 1.0 1.0 (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x)))) (sin (/ 1 x)))) in x 5.574 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 5.574 * [taylor]: Taking taylor expansion of 1.0 in x 5.574 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 5.574 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.574 * [taylor]: Taking taylor expansion of x in x 5.574 * [taylor]: Taking taylor expansion of (* (fma 1.0 1.0 (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x)))) (sin (/ 1 x))) in x 5.574 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x)))) in x 5.575 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x)))) 5.575 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [taylor]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) in x 5.575 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.575 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.575 * [taylor]: Taking taylor expansion of x in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.575 * [taylor]: Taking taylor expansion of x in x 5.575 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.575 * [taylor]: Taking taylor expansion of x in x 5.577 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (* (fma 1.0 1.0 (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x)))) (sin (/ 1 x)))) in x 5.577 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 5.577 * [taylor]: Taking taylor expansion of 1.0 in x 5.577 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 5.577 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.577 * [taylor]: Taking taylor expansion of x in x 5.578 * [taylor]: Taking taylor expansion of (* (fma 1.0 1.0 (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x)))) (sin (/ 1 x))) in x 5.578 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x)))) in x 5.578 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x)))) 5.578 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.578 * [taylor]: Taking taylor expansion of 1.0 in x 5.578 * [taylor]: Taking taylor expansion of 1.0 in x 5.578 * [taylor]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (cos (/ 1 x))) in x 5.578 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.578 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.578 * [taylor]: Taking taylor expansion of x in x 5.578 * [taylor]: Taking taylor expansion of 1.0 in x 5.578 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.578 * [taylor]: Taking taylor expansion of x in x 5.578 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.579 * [taylor]: Taking taylor expansion of x in x 5.616 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (* (sin (/ -1 x)) (fma 1.0 1.0 (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0))))) in (x) around 0 5.616 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (* (sin (/ -1 x)) (fma 1.0 1.0 (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0))))) in x 5.616 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 5.616 * [taylor]: Taking taylor expansion of 1.0 in x 5.616 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 5.617 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.617 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.617 * [taylor]: Taking taylor expansion of -1 in x 5.617 * [taylor]: Taking taylor expansion of x in x 5.617 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (fma 1.0 1.0 (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)))) in x 5.617 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.617 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.617 * [taylor]: Taking taylor expansion of -1 in x 5.617 * [taylor]: Taking taylor expansion of x in x 5.617 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0))) in x 5.617 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0))) 5.617 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.617 * [taylor]: Taking taylor expansion of 1.0 in x 5.617 * [taylor]: Taking taylor expansion of 1.0 in x 5.617 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) in x 5.617 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.618 * [taylor]: Taking taylor expansion of -1 in x 5.618 * [taylor]: Taking taylor expansion of x in x 5.618 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.618 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.618 * [taylor]: Taking taylor expansion of -1 in x 5.618 * [taylor]: Taking taylor expansion of x in x 5.618 * [taylor]: Taking taylor expansion of 1.0 in x 5.620 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (* (sin (/ -1 x)) (fma 1.0 1.0 (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0))))) in x 5.620 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 5.620 * [taylor]: Taking taylor expansion of 1.0 in x 5.620 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 5.620 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.620 * [taylor]: Taking taylor expansion of -1 in x 5.620 * [taylor]: Taking taylor expansion of x in x 5.620 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (fma 1.0 1.0 (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)))) in x 5.620 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.620 * [taylor]: Taking taylor expansion of -1 in x 5.620 * [taylor]: Taking taylor expansion of x in x 5.620 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0))) in x 5.621 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0))) 5.621 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 5.621 * [taylor]: Taking taylor expansion of 1.0 in x 5.621 * [taylor]: Taking taylor expansion of 1.0 in x 5.621 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) in x 5.621 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.621 * [taylor]: Taking taylor expansion of -1 in x 5.621 * [taylor]: Taking taylor expansion of x in x 5.621 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.621 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.621 * [taylor]: Taking taylor expansion of -1 in x 5.621 * [taylor]: Taking taylor expansion of x in x 5.621 * [taylor]: Taking taylor expansion of 1.0 in x 5.657 * * * [progress]: simplifying candidates 5.668 * [simplify]: Simplifying using # : (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3)))) (fma (- (pow (sqrt (cos x)) 3)) (pow (sqrt (cos x)) 3) (* (pow (sqrt (cos x)) 3) (pow (sqrt (cos x)) 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) 3) (pow 1 3)))) (fma (- (pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* 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(pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (* (cos x) (cos x)) (cos x)))) (fma (- (* (cos x) (cos x))) (cos x) (* (* (cos x) (cos x)) (cos x))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3))))) (fma (- (sqrt (pow (cos x) 3))) (sqrt (pow (cos x) 3)) (* (sqrt (pow (cos x) 3)) (sqrt (pow (cos x) 3)))) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) 3) 1))) (fma (- (pow (cos x) 3)) 1 (* (pow (cos x) 3) 1)) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2))))) (fma (- (pow (cos x) (/ 3 2))) (pow (cos x) (/ 3 2)) (* (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (* (pow (cbrt (cos 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(/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow (sqrt 1.0) 3) (pow (sqrt (cos x)) 3))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow (sqrt 1.0) 3) (sqrt (pow (cos x) 3)))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow (sqrt 1.0) 3) (pow (cos x) 3/2))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (sqrt (pow 1.0 3)) (pow (sqrt (cos x)) 3))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (sqrt (pow 1.0 3)) (sqrt (pow (cos x) 3)))) (/ (sin x) (/ (- (sqrt (pow 1.0 3)) (pow (cos x) 3/2)) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow 1.0 3/2) (pow (sqrt (cos x)) 3))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow 1.0 3/2) (pow (sqrt (cos x)) 3))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow 1.0 3/2) (sqrt (pow (cos x) 3)))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow 1.0 3/2) (pow (cos x) 3/2))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow 1.0 3) (pow (cos x) 3))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow 1.0 3) (pow (cos x) 3))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow 1.0 3) (pow (cos x) 3))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow 1.0 3) (pow (cos x) 3))) (/ (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (- (pow 1.0 3) (pow (cos x) 3))) (* (fma (pow (cos x) 3) (+ (pow 1.0 3) (pow (cos x) 3)) (pow 1.0 6)) (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))))) (* (* (sin x) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (+ (pow 1.0 3) (pow (cos x) 3))) (fma (pow x 2) 3/2 (fma 61/240 (pow x 6) (* -7/8 (pow x 4)))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (fma 1/24 (pow x 4) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (fma 7/8 (pow x 4) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) (fma 0.04166666666666663 (pow x 3) (fma 0.004166666666666624 (pow x 5) (* 0.5 x))) (/ (/ (- 1.0 (pow (cos x) 3)) (sin x)) (fma (+ 1.0 (cos x)) (cos x) 1.0)) (/ (/ (- 1.0 (pow (cos x) 3)) (sin x)) (fma (+ 1.0 (cos x)) (cos x) 1.0)) 6.631 * * * [progress]: adding candidates to table 7.063 * [progress]: [Phase 3 of 3] Extracting. 7.063 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 7.065 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 7.065 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # #) 7.126 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 7.182 * * * [regime]: Found split indices: #