11.171 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.049 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.050 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.051 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.052 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.054 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.054 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.076 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.076 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (cos x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (cos x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.094 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.094 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.107 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.107 * [taylor]: Taking taylor expansion of -1 in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.108 * [taylor]: Taking taylor expansion of -1 in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.123 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.123 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (cos x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (cos x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.134 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.137 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.137 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.137 * [taylor]: Taking taylor expansion of -1 in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.138 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.138 * [taylor]: Taking taylor expansion of -1 in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.141 * * * [progress]: simplifying candidates 0.142 * [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)) 0.146 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.151 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.170 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.172 * [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)) 0.172 * * * [progress]: adding candidates to table 0.283 * * [progress]: iteration 2 / 4 0.283 * * * [progress]: picking best candidate 0.298 * * * * [pick]: Picked # 0.298 * * * [progress]: localizing error 0.305 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.309 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.314 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.354 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.376 * * * [progress]: generating series expansions 0.376 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.376 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (cos x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (cos x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.387 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.391 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.394 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.395 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (cos x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (cos x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.405 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.408 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.408 * [taylor]: Taking taylor expansion of -1 in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.409 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.409 * [taylor]: Taking taylor expansion of -1 in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.412 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.412 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.412 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [taylor]: Taking taylor expansion of (cos x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.415 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of (cos x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.430 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.430 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.443 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.443 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.443 * [taylor]: Taking taylor expansion of -1 in x 0.443 * [taylor]: Taking taylor expansion of 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))) (pow x 2)) 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 -1 in x 0.444 * [taylor]: Taking taylor expansion of 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 0.458 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.458 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.458 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.459 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (cos x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.463 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.463 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (cos x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.508 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.509 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.509 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.510 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.524 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.524 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.524 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.524 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.525 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.525 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.525 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.525 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.548 * * * [progress]: simplifying candidates 0.552 * [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)) (+ (* 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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) 0.647 * * * [progress]: adding candidates to table 1.059 * * [progress]: iteration 3 / 4 1.059 * * * [progress]: picking best candidate 1.085 * * * * [pick]: Picked # 1.085 * * * [progress]: localizing error 1.097 * * * [progress]: generating rewritten candidates 1.097 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.107 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.110 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.113 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.184 * * * [progress]: generating series expansions 1.184 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.184 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.184 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of (cos x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of (cos x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.195 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.195 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.199 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.199 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.199 * [taylor]: Taking taylor expansion of -1 in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.199 * [taylor]: Taking taylor expansion of -1 in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.203 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.203 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.203 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of (cos x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of (cos x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.213 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.213 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.222 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.222 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.222 * [taylor]: Taking taylor expansion of -1 in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.222 * [taylor]: Taking taylor expansion of -1 in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.226 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.226 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.226 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (cos x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (cos x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.236 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.236 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.236 * [taylor]: Taking taylor expansion of 1.0 in x 1.236 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.236 * [taylor]: Taking taylor expansion of 1.0 in x 1.236 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.240 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.240 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.240 * [taylor]: Taking taylor expansion of 1.0 in x 1.240 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.240 * [taylor]: Taking taylor expansion of -1 in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.240 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.240 * [taylor]: Taking taylor expansion of 1.0 in x 1.240 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.240 * [taylor]: Taking taylor expansion of -1 in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.243 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.244 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.244 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.244 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.244 * [taylor]: Taking taylor expansion of 1.0 in x 1.244 * [taylor]: Taking taylor expansion of (cos x) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.246 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.246 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [taylor]: Taking taylor expansion of (cos x) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.261 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.262 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.274 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.274 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.274 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.274 * [taylor]: Taking taylor expansion of 1.0 in x 1.274 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.275 * [taylor]: Taking taylor expansion of -1 in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.275 * [taylor]: Taking taylor expansion of 1.0 in x 1.275 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.275 * [taylor]: Taking taylor expansion of -1 in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.285 * * * [progress]: simplifying candidates 1.288 * [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) 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(- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ 1 x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)) (* (/ (sqrt (- 1.0 (cos x))) x) (sqrt (log (exp (- 1.0 (cos x)))))) (* (sqrt (- 1.0 (cos x))) (/ (sqrt (log (exp (- 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 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 1.297 * * [simplify]: iteration 0 : 688 enodes (cost 2088 ) 1.308 * * [simplify]: iteration 1 : 2841 enodes (cost 1468 ) 1.347 * * [simplify]: iteration 2 : 5001 enodes (cost 1375 ) 1.357 * [simplify]: Simplified to: (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (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)) (- (* (* (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)) 1.0 (- (cos x)) 1.0 (- (cos x)) (* 2 (log (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))))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 (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))) (- (* (* (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 1.0 1.0 (* (cos x) (+ (cos x) 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)) (- (* (* (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 1.0 1.0 (* (cos x) (+ (cos x) 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 (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (log1p (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (/ (- 1.0 (cos x)) (pow x 2)) (* 2 (log (/ (sqrt (- 1.0 (cos x))) x))) (* 2 (log (/ (sqrt (- 1.0 (cos x))) x))) (* 2 (log (/ (sqrt (- 1.0 (cos x))) x))) (* 2 (log (/ (sqrt (- 1.0 (cos x))) x))) (* 2 (log (/ (sqrt (- 1.0 (cos x))) x))) (pow E (/ (- 1.0 (cos x)) (pow x 2))) (/ (pow (/ (- 1.0 (cos x)) x) 3) (pow x 3)) (/ (pow (/ (- 1.0 (cos x)) x) 3) (pow x 3)) (/ (pow (/ (- 1.0 (cos x)) x) 3) (pow x 3)) (/ (pow (/ (- 1.0 (cos x)) x) 3) (pow x 3)) (* (cbrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (cbrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x)))) (cbrt (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) x))) (/ (pow (/ (- 1.0 (cos x)) x) 3) (pow x 3)) (fabs (/ (sqrt (- 1.0 (cos x))) x)) (fabs (/ (sqrt (- 1.0 (cos x))) x)) (- 1.0 (cos x)) (pow x 2) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt 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)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (* (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (sqrt (- 1.0 (cos x))))) (sqrt 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)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (pow (sqrt (/ (sqrt (- 1.0 (cos x))) x)) 3) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (/ x (/ (cbrt (sqrt (- 1.0 (cos x)))) (/ (sqrt x) (cbrt (sqrt (- 1.0 (cos x)))))))) (* (* (/ (sqrt (- 1.0 (cos x))) x) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (sqrt (- 1.0 (cos 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 (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x))) (/ (* (sqrt (- 1.0 (cos x))) (sqrt (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) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 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) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) x) (/ (* (/ (sqrt (- 1.0 (cos x))) x) (fabs (cbrt (log (exp (- 1.0 (cos x))))))) (* (cbrt x) (cbrt x))) (/ (* (/ (sqrt (- 1.0 (cos x))) x) (fabs (cbrt (log (exp (- 1.0 (cos x))))))) (sqrt x)) (/ (* (sqrt (- 1.0 (cos x))) (fabs (cbrt (log (exp (- 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 (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) (/ (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (- 1.0 (cos x)))) x) (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 (- 1.0 (cos x))) x) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt 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)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (sqrt (- 1.0 (cos x)))) x) (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (sqrt x))) (/ (* (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (sqrt (- 1.0 (cos x)))) x) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (* (/ (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)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (sqrt (- 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 (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)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 1.359 * * * [progress]: adding candidates to table 1.774 * * [progress]: iteration 4 / 4 1.774 * * * [progress]: picking best candidate 1.801 * * * * [pick]: Picked # 1.801 * * * [progress]: localizing error 1.819 * * * [progress]: generating rewritten candidates 1.819 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.827 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.830 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 1.834 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 1.842 * * * [progress]: generating series expansions 1.842 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.842 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.842 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.842 * [taylor]: Taking taylor expansion of 1.0 in x 1.842 * [taylor]: Taking taylor expansion of (cos x) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.842 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.842 * [taylor]: Taking taylor expansion of 1.0 in x 1.842 * [taylor]: Taking taylor expansion of (cos x) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.853 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.853 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.853 * [taylor]: Taking taylor expansion of 1.0 in x 1.853 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.853 * [taylor]: Taking taylor expansion of 1.0 in x 1.853 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.857 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.857 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.857 * [taylor]: Taking taylor expansion of 1.0 in x 1.857 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.857 * [taylor]: Taking taylor expansion of -1 in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.857 * [taylor]: Taking taylor expansion of 1.0 in x 1.857 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.857 * [taylor]: Taking taylor expansion of -1 in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.860 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.861 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in (x) around 0 1.861 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 1.861 * [taylor]: Taking taylor expansion of 1.0 in x 1.861 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.861 * [taylor]: Taking taylor expansion of (cos x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 2)) in x 1.861 * [taylor]: Taking taylor expansion of 1.0 in x 1.861 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.861 * [taylor]: Taking taylor expansion of (cos x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.876 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in (x) around 0 1.876 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 1.876 * [taylor]: Taking taylor expansion of 1.0 in x 1.876 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.876 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 2)) in x 1.876 * [taylor]: Taking taylor expansion of 1.0 in x 1.876 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.876 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.884 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in (x) around 0 1.884 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 1.884 * [taylor]: Taking taylor expansion of 1.0 in x 1.884 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.884 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.884 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.884 * [taylor]: Taking taylor expansion of -1 in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 2)) in x 1.885 * [taylor]: Taking taylor expansion of 1.0 in x 1.885 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.885 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.885 * [taylor]: Taking taylor expansion of -1 in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.892 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 1.892 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.892 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.892 * [taylor]: Taking taylor expansion of 1.0 in x 1.892 * [taylor]: Taking taylor expansion of (cos x) in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.892 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.892 * [taylor]: Taking taylor expansion of 1.0 in x 1.892 * [taylor]: Taking taylor expansion of (cos x) in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.902 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.902 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.902 * [taylor]: Taking taylor expansion of 1.0 in x 1.902 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.902 * [taylor]: Taking taylor expansion of 1.0 in x 1.902 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.906 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.906 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.906 * [taylor]: Taking taylor expansion of 1.0 in x 1.906 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.906 * [taylor]: Taking taylor expansion of -1 in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.906 * [taylor]: Taking taylor expansion of 1.0 in x 1.906 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.906 * [taylor]: Taking taylor expansion of -1 in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.909 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 1.909 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 1.909 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.909 * [taylor]: Taking taylor expansion of (cos x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.910 * [taylor]: Taking taylor expansion of 1.0 in x 1.910 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 1.910 * [taylor]: Taking taylor expansion of (cos x) in x 1.910 * [taylor]: Taking taylor expansion of x in x 1.910 * [taylor]: Taking taylor expansion of 1.0 in x 1.914 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 1.914 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.914 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [taylor]: Taking taylor expansion of 1.0 in x 1.914 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 1.914 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of 1.0 in x 1.916 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 1.916 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.916 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.916 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.916 * [taylor]: Taking taylor expansion of -1 in x 1.916 * [taylor]: Taking taylor expansion of x in x 1.917 * [taylor]: Taking taylor expansion of 1.0 in x 1.917 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 1.921 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.921 * [taylor]: Taking taylor expansion of -1 in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.922 * [taylor]: Taking taylor expansion of 1.0 in x 1.923 * * * [progress]: simplifying candidates 1.925 * [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 1.0 1.0 (- (* (cos x) (cos x)))) (fma (- (cos x)) (cos x) (* (cos x) (cos x))) (expm1 (- (* 1.0 1.0) (* (cos x) (cos x)))) (log1p (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (* (cos x) (cos x))) (/ (exp (* 1.0 1.0)) (exp (* (cos x) (cos x)))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (exp (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (* (- (* 1.0 1.0) (* (cos x) (cos x))) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (pow (* 1.0 1.0) 3) (pow (* (cos x) (cos x)) 3)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (* 1.0 1.0) (* (cos x) (cos x))))) (- (* (cos x) (cos x))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (cos x) (cos x)) (* (cos x) (cos x)))) (+ (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- 1.0 (cos x)) (- (* 1.0 1.0) 1/2) (- (* (cos x) (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)) (expm1 (+ 1.0 (cos x))) (log1p (+ 1.0 (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)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (- 1.0 (pow (cos x) 2)) (- 1.0 (pow (cos x) 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) 1.930 * * [simplify]: iteration 0 : 344 enodes (cost 708 ) 1.936 * * [simplify]: iteration 1 : 1202 enodes (cost 491 ) 1.962 * * [simplify]: iteration 2 : 5002 enodes (cost 403 ) 1.965 * [simplify]: Simplified to: (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (+ (pow (cbrt 1.0) 3) 0) (cos x)) 0 (- (+ (pow (cbrt 1.0) 3) 0) (cos x)) 0 (- (+ (pow (cbrt 1.0) 3) 0) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 1.0 (- (cos x)) 1.0 (- (cos x)) (* 2 (log (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))))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 (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))) (fma 1.0 1.0 (- (pow (cos x) 2))) (* (pow (cos x) 2) (+ (- 1) 1)) (expm1 (- (* 1.0 1.0) (* (cos x) (cos x)))) (log1p (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (pow (cos x) 2)) (exp (- (* 1.0 1.0) (pow (cos x) 2))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (exp (- (* 1.0 1.0) (pow (cos x) 2))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (pow (fma 1.0 1.0 (- (pow (cos x) 2))) 3) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (- (pow (* 1.0 1.0) 3) (pow (* (cos x) (cos x)) 3)) (fma (fma 1.0 1.0 (pow (cos x) 2)) (pow (cos x) 2) (pow 1.0 4)) (- (pow (cos x) 2)) (fma (- (pow (cos x) 3)) (cos x) (pow 1.0 4)) (fma 1.0 1.0 (pow (cos x) 2)) (+ 1.0 (cos x)) (- 1.0 (cos x)) (- (* 1.0 1.0) 1/2) (- (pow (cos x) 2)) (- (+ (pow (cbrt 1.0) 3) 0) (cos x)) 0 (- (+ (pow (cbrt 1.0) 3) 0) (cos x)) 0 (- (+ (pow (cbrt 1.0) 3) 0) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0))) (- (cos x)) (fma 1.0 1.0 (- (pow (cos x) 2))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (+ 1.0 (cos x))) (log1p (+ 1.0 (cos x))) (exp (+ 1.0 (cos x))) (log (+ 1.0 (cos x))) (exp (+ 1.0 (cos x))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (cbrt (+ 1.0 (cos x))) (pow (+ 1.0 (cos x)) 3) (sqrt (+ 1.0 (cos x))) (sqrt (+ 1.0 (cos x))) (+ (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (- (cos x) 1.0))) (fma 1.0 1.0 (- (pow (cos x) 2))) (- 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 x x (- (* 2/45 (pow x 6)) (* 1/3 (pow x 4)))) (- 1.0 (pow (cos x) 2)) (- 1.0 (pow (cos 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 (pow x 4) 1/24 (- 2.0 (* 1/2 (pow x 2)))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) 1.965 * * * [progress]: adding candidates to table 2.263 * [progress]: [Phase 3 of 3] Extracting. 2.263 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.265 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.265 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 2.316 * * * [regime]: Found split indices: #