12.456 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.060 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.062 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.063 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.065 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.066 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.067 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.067 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.102 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.111 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.111 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.111 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (cos x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (cos x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.129 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.129 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.141 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.141 * [taylor]: Taking taylor expansion of -1 in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.142 * [taylor]: Taking taylor expansion of -1 in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.155 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.155 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.155 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (cos x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (cos x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.165 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.168 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.168 * [taylor]: Taking taylor expansion of -1 in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.169 * [taylor]: Taking taylor expansion of -1 in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.172 * * * [progress]: simplifying candidates 0.173 * [simplify]: Simplifying using # : (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (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)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.177 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.182 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.201 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.203 * [simplify]: Simplified to: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (pow x 2) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* (* x x) (+ 1.0 (cos x))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (- (cos x) (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (- (cos x) (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (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 (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x 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)) 0.204 * * * [progress]: adding candidates to table 0.319 * * [progress]: iteration 2 / 4 0.319 * * * [progress]: picking best candidate 0.339 * * * * [pick]: Picked # 0.339 * * * [progress]: localizing error 0.348 * * * [progress]: generating rewritten candidates 0.348 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.355 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.365 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.429 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.458 * * * [progress]: generating series expansions 0.458 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.458 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.458 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (cos x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (cos x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.468 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.472 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.475 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.475 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (cos x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (cos x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.485 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.488 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.488 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.488 * [taylor]: Taking taylor expansion of -1 in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.488 * [taylor]: Taking taylor expansion of -1 in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.496 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.497 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.497 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of (cos x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (cos x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.514 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.514 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.525 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.526 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.536 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.536 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.536 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.536 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.536 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [taylor]: Taking taylor expansion of (cos x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.540 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of (cos x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.589 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.590 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.603 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.603 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.603 * [taylor]: Taking taylor expansion of -1 in x 0.603 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.603 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.603 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.603 * [taylor]: Taking taylor expansion of -1 in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.605 * [taylor]: Taking taylor expansion of -1 in x 0.605 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.605 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.605 * [taylor]: Taking taylor expansion of -1 in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.621 * * * [progress]: simplifying candidates 0.625 * [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 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x))))) (* (cbrt x) (cbrt x))) (/ (* (/ (sqrt (- 1.0 (cos x))) x) (fabs (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (- 1.0 (cos x))) (fabs (cbrt (- 1.0 (cos x))))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) (/ (/ (sqrt (- 1.0 (cos x))) x) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (+ (sqrt 1.0) (sqrt (cos x))))) x) (/ (/ (sqrt (- 1.0 (cos x))) x) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (sqrt (- 1.0 (cos x))))) x) (/ (/ (sqrt (- 1.0 (cos x))) x) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (- 1.0 (cos x)) x) (pow (cbrt (/ (sqrt (- 1.0 (cos x))) x)) 4) (pow (sqrt (/ (sqrt (- 1.0 (cos x))) x)) 3) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (* (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (expm1 (/ (sqrt (- 1.0 (cos x))) x)) (log1p (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (pow (/ (sqrt (- 1.0 (cos x))) x) 3) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (- (sqrt (- 1.0 (cos x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (* (cbrt (sqrt (- 1.0 (cos x)))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (pow x 1/2)) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (/ (fabs (cbrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (pow x 1/2)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (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 (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (fma 1/1440 (/ (pow x 4) (sqrt 1/2)) (- (sqrt 1/2) (fma 1/48 (/ (pow x 2) (sqrt 1/2)) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3)))))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 0.720 * * * [progress]: adding candidates to table 1.159 * * [progress]: iteration 3 / 4 1.159 * * * [progress]: picking best candidate 1.187 * * * * [pick]: Picked # 1.187 * * * [progress]: localizing error 1.197 * * * [progress]: generating rewritten candidates 1.197 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 1.204 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.222 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.253 * * * [progress]: generating series expansions 1.253 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 1.253 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.253 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (cos x) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (cos x) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.264 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.264 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.267 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.267 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.267 * [taylor]: Taking taylor expansion of 1.0 in x 1.267 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.267 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.267 * [taylor]: Taking taylor expansion of -1 in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.268 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.268 * [taylor]: Taking taylor expansion of -1 in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.270 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.271 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 1.271 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.271 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [taylor]: Taking taylor expansion of (cos x) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.273 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.273 * [taylor]: Taking taylor expansion of 1.0 in x 1.273 * [taylor]: Taking taylor expansion of (cos x) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.285 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.285 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.285 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.295 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 1.295 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.295 * [taylor]: Taking taylor expansion of -1 in x 1.295 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.295 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.295 * [taylor]: Taking taylor expansion of 1.0 in x 1.295 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.295 * [taylor]: Taking taylor expansion of -1 in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.296 * [taylor]: Taking taylor expansion of -1 in x 1.296 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.296 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.296 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.296 * [taylor]: Taking taylor expansion of -1 in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.309 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.309 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.309 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.309 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [taylor]: Taking taylor expansion of (cos x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.312 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.312 * [taylor]: Taking taylor expansion of 1.0 in x 1.312 * [taylor]: Taking taylor expansion of (cos x) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.332 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.332 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.344 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.344 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.344 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.344 * [taylor]: Taking taylor expansion of -1 in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.345 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.345 * [taylor]: Taking taylor expansion of -1 in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.354 * * * [progress]: simplifying candidates 1.357 * [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))) 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x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (sqrt (- 1.0 (cos x))) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (* (/ 1/2 (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (* (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 2) (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (* (/ 1/2 (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (pow x 2) (pow x 2) (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 x 1/2 (- (* 1/720 (pow x 5)) (* 1/24 (pow x 3)))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 1.416 * * * [progress]: adding candidates to table 1.736 * * [progress]: iteration 4 / 4 1.736 * * * [progress]: picking best candidate 1.763 * * * * [pick]: Picked # 1.763 * * * [progress]: localizing error 1.778 * * * [progress]: generating rewritten candidates 1.778 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.794 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.802 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.809 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.919 * * * [progress]: generating series expansions 1.919 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.920 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.920 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.920 * [taylor]: Taking taylor expansion of 1.0 in x 1.920 * [taylor]: Taking taylor expansion of (cos x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.920 * [taylor]: Taking taylor expansion of 1.0 in x 1.920 * [taylor]: Taking taylor expansion of (cos x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.930 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.930 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.930 * [taylor]: Taking taylor expansion of 1.0 in x 1.930 * [taylor]: Taking taylor expansion of (cos (/ 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 1.931 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.931 * [taylor]: Taking taylor expansion of 1.0 in x 1.931 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.934 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.934 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.934 * [taylor]: Taking taylor expansion of 1.0 in x 1.934 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.934 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.934 * [taylor]: Taking taylor expansion of -1 in x 1.934 * [taylor]: Taking taylor expansion of x in x 1.934 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.934 * [taylor]: Taking taylor expansion of 1.0 in x 1.934 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.934 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.934 * [taylor]: Taking taylor expansion of -1 in x 1.934 * [taylor]: Taking taylor expansion of x in x 1.937 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.937 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.937 * [taylor]: Taking taylor expansion of 1.0 in x 1.937 * [taylor]: Taking taylor expansion of (cos x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.937 * [taylor]: Taking taylor expansion of 1.0 in x 1.937 * [taylor]: Taking taylor expansion of (cos x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.952 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.952 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.952 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.952 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.952 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.955 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.955 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.955 * [taylor]: Taking taylor expansion of 1.0 in x 1.955 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.955 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.956 * [taylor]: Taking taylor expansion of -1 in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.956 * [taylor]: Taking taylor expansion of 1.0 in x 1.956 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.956 * [taylor]: Taking taylor expansion of -1 in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.959 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.959 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.959 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.959 * [taylor]: Taking taylor expansion of 1.0 in x 1.959 * [taylor]: Taking taylor expansion of (cos x) in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.959 * [taylor]: Taking taylor expansion of 1.0 in x 1.959 * [taylor]: Taking taylor expansion of (cos x) in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.969 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.969 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.969 * [taylor]: Taking taylor expansion of 1.0 in x 1.969 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.969 * [taylor]: Taking taylor expansion of 1.0 in x 1.969 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.972 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.972 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.972 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.972 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.972 * [taylor]: Taking taylor expansion of -1 in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.973 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.973 * [taylor]: Taking taylor expansion of -1 in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.976 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.976 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.976 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.976 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.976 * [taylor]: Taking taylor expansion of 1.0 in x 1.976 * [taylor]: Taking taylor expansion of (cos x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.978 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.979 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.979 * [taylor]: Taking taylor expansion of 1.0 in x 1.979 * [taylor]: Taking taylor expansion of (cos x) in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.993 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.993 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.993 * [taylor]: Taking taylor expansion of 1.0 in x 1.993 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.993 * [taylor]: Taking taylor expansion of 1.0 in x 1.993 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.993 * [taylor]: Taking taylor expansion of x in x 2.005 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 2.005 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 2.005 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.005 * [taylor]: Taking taylor expansion of 1.0 in x 2.005 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.005 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.005 * [taylor]: Taking taylor expansion of -1 in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 2.006 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.006 * [taylor]: Taking taylor expansion of 1.0 in x 2.006 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.006 * [taylor]: Taking taylor expansion of -1 in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.015 * * * [progress]: simplifying candidates 2.018 * [simplify]: Simplifying using # : (expm1 (log (exp (- 1.0 (cos x))))) (log1p (log (exp (- 1.0 (cos x))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))))) (log (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))))) (log (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))))) (log (exp (fma (- (cos x)) 1 (* (cos x) 1)))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))))) (log (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))))) (log (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))))) (log (exp (fma (- (cos x)) 1 (* (cos x) 1)))) (log (exp (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))))) (log (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (log (exp (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))))) (log (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))))) (log (exp (fma 1 1.0 (- (* (cos x) 1))))) (log (exp (fma (- (cos x)) 1 (* (cos x) 1)))) (log (exp 1.0)) (log (exp (- (cos x)))) (log (exp 1.0)) (log (exp (- (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (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 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(pow x 4)))) (- 1.0 (cos 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 (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 2.091 * * * [progress]: adding candidates to table 2.528 * [progress]: [Phase 3 of 3] Extracting. 2.528 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 2.534 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.534 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 2.591 * * * [regime]: Found split indices: #