14.382 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.063 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.064 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.065 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.067 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.068 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.068 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.070 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.076 * * * [progress]: generating rewritten candidates 0.076 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.085 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.090 * * * [progress]: generating series expansions 0.090 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.090 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (cos x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [taylor]: Taking taylor expansion of (cos x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.113 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.113 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.126 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.126 * [taylor]: Taking taylor expansion of -1 in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.126 * [taylor]: Taking taylor expansion of -1 in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.136 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.136 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (cos x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (cos x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.146 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.149 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.149 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.153 * * * [progress]: simplifying candidates 0.154 * [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)) 0.158 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.163 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.183 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.185 * [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)) 0.185 * * * [progress]: adding candidates to table 0.296 * * [progress]: iteration 2 / 4 0.296 * * * [progress]: picking best candidate 0.316 * * * * [pick]: Picked # 0.316 * * * [progress]: localizing error 0.324 * * * [progress]: generating rewritten candidates 0.324 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.327 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.337 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.363 * * * [progress]: generating series expansions 0.363 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.364 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of (cos x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of (cos x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.374 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.378 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.378 * [taylor]: Taking taylor expansion of -1 in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.378 * [taylor]: Taking taylor expansion of -1 in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.385 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.385 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.385 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (cos x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.388 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (cos x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.400 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.400 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.411 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.411 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.411 * [taylor]: Taking taylor expansion of -1 in x 0.411 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.411 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.411 * [taylor]: Taking taylor expansion of -1 in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.411 * [taylor]: Taking taylor expansion of -1 in x 0.411 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.411 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.411 * [taylor]: Taking taylor expansion of -1 in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.426 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.426 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.426 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (cos x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.429 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of (cos x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.443 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.444 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.456 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.456 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.457 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.457 * [taylor]: Taking taylor expansion of 1.0 in x 0.457 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.457 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.457 * [taylor]: Taking taylor expansion of -1 in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.472 * * * [progress]: simplifying candidates 0.474 * [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)) x)) (log1p (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (expm1 (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (log1p (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (- (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos x)) x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) 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)) 0.481 * * [simplify]: iteration 0 : 582 enodes (cost 999 ) 0.492 * * [simplify]: iteration 1 : 2640 enodes (cost 823 ) 0.539 * * [simplify]: iteration 2 : 5001 enodes (cost 787 ) 0.543 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (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)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (pow x 1/2)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))) x) (* x (+ 1.0 (cos x))) (expm1 (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (log1p (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (/ (- 1.0 (cos x)) (pow x 2)) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (- 1.0 (cos x)) (pow x 2) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) x) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos 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)) (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)) 0.544 * * * [progress]: adding candidates to table 0.770 * * [progress]: iteration 3 / 4 0.770 * * * [progress]: picking best candidate 0.792 * * * * [pick]: Picked # 0.792 * * * [progress]: localizing error 0.799 * * * [progress]: generating rewritten candidates 0.799 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.803 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.811 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.841 * * * [progress]: generating series expansions 0.841 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.841 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.842 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [taylor]: Taking taylor expansion of (cos x) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [taylor]: Taking taylor expansion of (cos x) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.852 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.852 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.852 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.853 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.856 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.856 * [taylor]: Taking taylor expansion of -1 in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.857 * [taylor]: Taking taylor expansion of -1 in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.860 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.860 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.860 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.860 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (cos x) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.863 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.863 * [taylor]: Taking taylor expansion of (cos x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.875 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.875 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.886 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.887 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.887 * [taylor]: Taking taylor expansion of -1 in x 0.887 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.887 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.887 * [taylor]: Taking taylor expansion of -1 in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.887 * [taylor]: Taking taylor expansion of -1 in x 0.887 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.887 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.887 * [taylor]: Taking taylor expansion of -1 in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.907 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.907 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.907 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.907 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (cos x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.910 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [taylor]: Taking taylor expansion of (cos x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.925 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.925 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.938 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.938 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.938 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.938 * [taylor]: Taking taylor expansion of -1 in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.939 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.939 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.939 * [taylor]: Taking taylor expansion of -1 in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.949 * * * [progress]: simplifying candidates 0.951 * [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)) x)) (log1p (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (expm1 (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (log1p (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (+ (- (log (- 1.0 (cos x))) (log x)) (- (log x))) (+ (- (log (- 1.0 (cos x))) (log x)) (- 0 (log x))) (+ (- (log (- 1.0 (cos x))) (log x)) (- (log 1) (log x))) (+ (- (log (- 1.0 (cos x))) (log x)) (log (/ 1 x))) (+ (log (/ (- 1.0 (cos x)) x)) (- (log x))) (+ (log (/ (- 1.0 (cos x)) x)) (- 0 (log x))) (+ (log (/ (- 1.0 (cos x)) x)) (- (log 1) (log x))) (+ (log (/ (- 1.0 (cos x)) x)) (log (/ 1 x))) (log (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (exp (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (/ (* (* 1 1) 1) (* (* x x) x))) (* (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x)))) (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (* (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (sqrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (sqrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (* (- 1.0 (cos x)) 1) (* x x) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt 1) (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 (sqrt x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt 1) (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 (sqrt x))) (* (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (/ (- 1.0 (cos x)) x) (sqrt (/ 1 x))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ (sqrt 1) 1)) (* (/ (- 1.0 (cos x)) x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x))) (* (/ (- 1.0 (cos x)) x) (/ 1 1)) (* (/ (- 1.0 (cos x)) x) 1) (* (/ (- 1.0 (cos x)) x) 1) (* (cbrt (/ (- 1.0 (cos x)) x)) (/ 1 x)) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) x) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ 1 x)) (* (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) (/ 1 x)) (* (/ 1 x) (/ 1 x)) (* (/ (- 1.0 (cos x)) x) 1) (* (- 1.0 (cos x)) (/ 1 x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) 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)) 0.958 * * [simplify]: iteration 0 : 598 enodes (cost 1004 ) 0.969 * * [simplify]: iteration 1 : 2536 enodes (cost 831 ) 1.013 * * [simplify]: iteration 2 : 5001 enodes (cost 809 ) 1.017 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (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)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))) x) (* x (+ 1.0 (cos x))) (expm1 (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (log1p (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (/ (/ (- 1.0 (cos x)) x) x) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log x)) (exp (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (* (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x)))) (cbrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (sqrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (sqrt (* (/ (- 1.0 (cos x)) x) (/ 1 x))) (- 1.0 (cos x)) (pow x 2) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (* (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (/ 1 x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (pow x 1/2)) (* (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* (/ (- 1.0 (cos x)) x) (sqrt (/ 1 x))) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt 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) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (* (cbrt (/ (- 1.0 (cos x)) x)) (/ 1 x)) (* (sqrt (/ (- 1.0 (cos x)) x)) (/ 1 x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ 1 x)) (/ (/ (cbrt (- 1.0 (cos x))) x) (pow x 1/2)) (* (/ (cbrt (- 1.0 (cos x))) x) (/ 1 x)) (* (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (pow x 1/2)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt 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)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (pow x 2)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos 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)) (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)) x) x) (/ (/ (- 1.0 (cos x)) x) x) 1.018 * * * [progress]: adding candidates to table 1.258 * * [progress]: iteration 4 / 4 1.258 * * * [progress]: picking best candidate 1.279 * * * * [pick]: Picked # 1.279 * * * [progress]: localizing error 1.296 * * * [progress]: generating rewritten candidates 1.296 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.316 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 3) 1.317 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.318 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.395 * * * [progress]: generating series expansions 1.395 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.396 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.396 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.396 * [taylor]: Taking taylor expansion of (cos x) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.396 * [taylor]: Taking taylor expansion of (cos x) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.417 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.417 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.417 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.417 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.418 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.418 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.430 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.430 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.430 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.431 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.431 * [taylor]: Taking taylor expansion of -1 in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.431 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.431 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.431 * [taylor]: Taking taylor expansion of -1 in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.443 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 3) 1.443 * [approximate]: Taking taylor expansion of (fma (cos x) (cos x) (* 1.0 (cos x))) in (x) around 0 1.443 * [taylor]: Taking taylor expansion of (fma (cos x) (cos x) (* 1.0 (cos x))) in x 1.443 * [taylor]: Rewrote expression to (+ (* (cos x) (cos x)) (* 1.0 (cos x))) 1.443 * [taylor]: Taking taylor expansion of (* (cos x) (cos x)) in x 1.443 * [taylor]: Taking taylor expansion of (cos x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (cos x) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.444 * [taylor]: Taking taylor expansion of 1.0 in x 1.444 * [taylor]: Taking taylor expansion of (cos x) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (fma (cos x) (cos x) (* 1.0 (cos x))) in x 1.444 * [taylor]: Rewrote expression to (+ (* (cos x) (cos x)) (* 1.0 (cos x))) 1.444 * [taylor]: Taking taylor expansion of (* (cos x) (cos x)) in x 1.444 * [taylor]: Taking taylor expansion of (cos x) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (cos x) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.444 * [taylor]: Taking taylor expansion of 1.0 in x 1.444 * [taylor]: Taking taylor expansion of (cos x) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.461 * [approximate]: Taking taylor expansion of (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x)))) in (x) around 0 1.461 * [taylor]: Taking taylor expansion of (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x)))) in x 1.461 * [taylor]: Rewrote expression to (+ (* (cos (/ 1 x)) (cos (/ 1 x))) (* 1.0 (cos (/ 1 x)))) 1.461 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x 1.461 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.462 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x)))) in x 1.462 * [taylor]: Rewrote expression to (+ (* (cos (/ 1 x)) (cos (/ 1 x))) (* 1.0 (cos (/ 1 x)))) 1.462 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x 1.462 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.463 * [taylor]: Taking taylor expansion of 1.0 in x 1.463 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.481 * [approximate]: Taking taylor expansion of (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x)))) in (x) around 0 1.481 * [taylor]: Taking taylor expansion of (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x)))) in x 1.481 * [taylor]: Rewrote expression to (+ (* (cos (/ -1 x)) (cos (/ -1 x))) (* 1.0 (cos (/ -1 x)))) 1.481 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (cos (/ -1 x))) in x 1.481 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.481 * [taylor]: Taking taylor expansion of -1 in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.482 * [taylor]: Taking taylor expansion of -1 in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.482 * [taylor]: Taking taylor expansion of -1 in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x)))) in x 1.482 * [taylor]: Rewrote expression to (+ (* (cos (/ -1 x)) (cos (/ -1 x))) (* 1.0 (cos (/ -1 x)))) 1.482 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (cos (/ -1 x))) in x 1.482 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.483 * [taylor]: Taking taylor expansion of -1 in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.483 * [taylor]: Taking taylor expansion of -1 in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.483 * [taylor]: Taking taylor expansion of -1 in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.495 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.495 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 1.495 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.495 * [taylor]: Taking taylor expansion of (cos x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.495 * [taylor]: Taking taylor expansion of (cos x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.503 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 1.503 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.503 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.504 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.513 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 1.513 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.513 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.513 * [taylor]: Taking taylor expansion of -1 in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.513 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.513 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.513 * [taylor]: Taking taylor expansion of -1 in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.523 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.523 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (* x (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))))) in (x) around 0 1.523 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (* x (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))))) in x 1.523 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.523 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.524 * [taylor]: Taking taylor expansion of (cos x) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (* x (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x))))) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))) in x 1.524 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma (cos x) (cos x) (* 1.0 (cos x)))) 1.524 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of (fma (cos x) (cos x) (* 1.0 (cos x))) in x 1.524 * [taylor]: Rewrote expression to (+ (* (cos x) (cos x)) (* 1.0 (cos x))) 1.524 * [taylor]: Taking taylor expansion of (* (cos x) (cos x)) in x 1.524 * [taylor]: Taking taylor expansion of (cos x) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (cos x) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of (cos x) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (* x (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))))) in x 1.533 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.533 * [taylor]: Taking taylor expansion of 1.0 in x 1.533 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.533 * [taylor]: Taking taylor expansion of (cos x) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (* x (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x))))) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))) in x 1.533 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma (cos x) (cos x) (* 1.0 (cos x)))) 1.533 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.533 * [taylor]: Taking taylor expansion of 1.0 in x 1.533 * [taylor]: Taking taylor expansion of 1.0 in x 1.533 * [taylor]: Taking taylor expansion of (fma (cos x) (cos x) (* 1.0 (cos x))) in x 1.534 * [taylor]: Rewrote expression to (+ (* (cos x) (cos x)) (* 1.0 (cos x))) 1.534 * [taylor]: Taking taylor expansion of (* (cos x) (cos x)) in x 1.534 * [taylor]: Taking taylor expansion of (cos x) in x 1.534 * [taylor]: Taking taylor expansion of x in x 1.534 * [taylor]: Taking taylor expansion of (cos x) in x 1.534 * [taylor]: Taking taylor expansion of x in x 1.534 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.534 * [taylor]: Taking taylor expansion of 1.0 in x 1.534 * [taylor]: Taking taylor expansion of (cos x) in x 1.534 * [taylor]: Taking taylor expansion of x in x 1.603 * [approximate]: Taking taylor expansion of (/ (* (- 1.0 (pow (cos (/ 1 x)) 3)) x) (fma 1.0 1.0 (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x)))))) in (x) around 0 1.603 * [taylor]: Taking taylor expansion of (/ (* (- 1.0 (pow (cos (/ 1 x)) 3)) x) (fma 1.0 1.0 (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x)))))) in x 1.603 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow (cos (/ 1 x)) 3)) x) in x 1.603 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.603 * [taylor]: Taking taylor expansion of 1.0 in x 1.603 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.603 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x))))) in x 1.603 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x))))) 1.604 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.604 * [taylor]: Taking taylor expansion of 1.0 in x 1.604 * [taylor]: Taking taylor expansion of 1.0 in x 1.604 * [taylor]: Taking taylor expansion of (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x)))) in x 1.604 * [taylor]: Rewrote expression to (+ (* (cos (/ 1 x)) (cos (/ 1 x))) (* 1.0 (cos (/ 1 x)))) 1.604 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x 1.604 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.604 * [taylor]: Taking taylor expansion of 1.0 in x 1.604 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (/ (* (- 1.0 (pow (cos (/ 1 x)) 3)) x) (fma 1.0 1.0 (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x)))))) in x 1.607 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow (cos (/ 1 x)) 3)) x) in x 1.607 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.607 * [taylor]: Taking taylor expansion of 1.0 in x 1.607 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.607 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x))))) in x 1.608 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x))))) 1.608 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.608 * [taylor]: Taking taylor expansion of (fma (cos (/ 1 x)) (cos (/ 1 x)) (* 1.0 (cos (/ 1 x)))) in x 1.608 * [taylor]: Rewrote expression to (+ (* (cos (/ 1 x)) (cos (/ 1 x))) (* 1.0 (cos (/ 1 x)))) 1.608 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x 1.608 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.609 * [taylor]: Taking taylor expansion of 1.0 in x 1.609 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.658 * [approximate]: Taking taylor expansion of (* -1 (/ (* x (- 1.0 (pow (cos (/ -1 x)) 3))) (fma 1.0 1.0 (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x))))))) in (x) around 0 1.658 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (- 1.0 (pow (cos (/ -1 x)) 3))) (fma 1.0 1.0 (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x))))))) in x 1.658 * [taylor]: Taking taylor expansion of -1 in x 1.658 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow (cos (/ -1 x)) 3))) (fma 1.0 1.0 (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x)))))) in x 1.658 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow (cos (/ -1 x)) 3))) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.658 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.658 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.658 * [taylor]: Taking taylor expansion of -1 in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x))))) in x 1.658 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x))))) 1.658 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.658 * [taylor]: Taking taylor expansion of (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x)))) in x 1.658 * [taylor]: Rewrote expression to (+ (* (cos (/ -1 x)) (cos (/ -1 x))) (* 1.0 (cos (/ -1 x)))) 1.658 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (cos (/ -1 x))) in x 1.659 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.659 * [taylor]: Taking taylor expansion of -1 in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.659 * [taylor]: Taking taylor expansion of -1 in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.659 * [taylor]: Taking taylor expansion of -1 in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of (* -1 (/ (* x (- 1.0 (pow (cos (/ -1 x)) 3))) (fma 1.0 1.0 (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x))))))) in x 1.662 * [taylor]: Taking taylor expansion of -1 in x 1.662 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow (cos (/ -1 x)) 3))) (fma 1.0 1.0 (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x)))))) in x 1.662 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow (cos (/ -1 x)) 3))) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.662 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.662 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.662 * [taylor]: Taking taylor expansion of -1 in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x))))) in x 1.663 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x))))) 1.663 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in x 1.663 * [taylor]: Taking taylor expansion of 1.0 in x 1.663 * [taylor]: Taking taylor expansion of 1.0 in x 1.663 * [taylor]: Taking taylor expansion of (fma (cos (/ -1 x)) (cos (/ -1 x)) (* 1.0 (cos (/ -1 x)))) in x 1.663 * [taylor]: Rewrote expression to (+ (* (cos (/ -1 x)) (cos (/ -1 x))) (* 1.0 (cos (/ -1 x)))) 1.663 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (cos (/ -1 x))) in x 1.663 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.663 * [taylor]: Taking taylor expansion of -1 in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.663 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.663 * [taylor]: Taking taylor expansion of -1 in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.664 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.664 * [taylor]: Taking taylor expansion of 1.0 in x 1.664 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.664 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.664 * [taylor]: Taking taylor expansion of -1 in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.718 * * * [progress]: simplifying candidates 1.729 * [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) (- (* (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) (- (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3)))))) (fma (- (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))))) (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) (- (* (* (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 x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 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 (sqrt 1.0) 3) (pow (sqrt 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 (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (cos x) (* (cos x) (cos x))))) (fma (- (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cos x) (cos x)))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3)))))) (fma (- (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))))) (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 x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 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 (sqrt 1.0) 3) (pow (sqrt 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 (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (* (cos x) (cos x)) (cos x)))) (fma (- (* (cos x) (cos x))) (cos x) (* (* (cos x) (cos x)) (cos x))) (fma (pow (sqrt 1.0) 3) (pow (sqrt 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 (sqrt 1.0) 3) (pow (sqrt 1.0) 3) (- (* (pow (cos x) 3) 1))) (fma (- (pow (cos x) 3)) 1 (* (pow (cos x) 3) 1)) (fma (pow (sqrt 1.0) 3) (pow (sqrt 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 1 3) (pow 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 1 3) (pow 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 1 3) (pow 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 1 3) (pow 1.0 3) (- (* (cos x) (* (cos x) (cos x))))) (fma (- (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cos x) (cos x)))) (fma (pow 1 3) (pow 1.0 3) (- (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3)))))) (fma (- (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))))) (fma (pow 1 3) (pow 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 1 3) (pow 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 1 3) (pow 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 1 3) (pow 1.0 3) (- (* (* (cos x) (cos x)) (cos x)))) (fma (- (* (cos x) (cos x))) (cos x) (* (* (cos x) (cos x)) (cos x))) (fma (pow 1 3) (pow 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 1 3) (pow 1.0 3) (- (* (pow (cos x) 3) 1))) (fma (- (pow (cos x) 3)) 1 (* (pow (cos x) 3) 1)) (fma (pow 1 3) (pow 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 (* 1.0 1.0) 1.0 (- (* (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 (* 1.0 1.0) 1.0 (- (* (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 (* 1.0 1.0) 1.0 (- (* (pow (cos x) 3) (pow 1 3)))) (fma (- (pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (* 1.0 1.0) 1.0 (- (* (cos x) (* (cos x) (cos x))))) (fma (- (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cos x) (cos x)))) (fma (* 1.0 1.0) 1.0 (- (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3)))))) (fma (- (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))) (* (cbrt (pow (cos x) 3)) (* (cbrt (pow (cos x) 3)) (cbrt (pow (cos x) 3))))) (fma (* 1.0 1.0) 1.0 (- (* (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 (* 1.0 1.0) 1.0 (- (* (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 (* 1.0 1.0) 1.0 (- (* (pow (cos x) 3) (pow 1 3)))) (fma (- (pow (cos x) 3)) (pow 1 3) (* (pow (cos x) 3) (pow 1 3))) (fma (* 1.0 1.0) 1.0 (- (* (* (cos x) (cos 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(cos x) 1.0) 1.0)) x) 1.849 * * * [progress]: adding candidates to table 2.240 * [progress]: [Phase 3 of 3] Extracting. 2.240 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 2.243 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.243 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 2.299 * * * [regime]: Found split indices: #