19.574 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.058 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.060 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.061 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.062 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.063 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.065 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.065 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.065 * * [progress]: iteration 1 / 4 0.065 * * * [progress]: picking best candidate 0.067 * * * * [pick]: Picked # 0.067 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.080 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.086 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.086 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (cos x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 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 0.104 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.117 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.117 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.117 * [taylor]: Taking taylor expansion of -1 in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.117 * [taylor]: Taking taylor expansion of -1 in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.130 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.130 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.141 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.144 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.144 * [taylor]: Taking taylor expansion of -1 in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.145 * [taylor]: Taking taylor expansion of -1 in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.148 * * * [progress]: simplifying candidates 0.149 * [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)) 0.153 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.158 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.177 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.179 * [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)) 0.180 * * * [progress]: adding candidates to table 0.280 * * [progress]: iteration 2 / 4 0.281 * * * [progress]: picking best candidate 0.299 * * * * [pick]: Picked # 0.300 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.310 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.316 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.332 * * * [progress]: generating series expansions 0.332 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.332 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (cos x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (cos x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.345 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.345 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.349 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.349 * [taylor]: Taking taylor expansion of -1 in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.350 * [taylor]: Taking taylor expansion of -1 in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.353 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.353 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.353 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of (cos x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [taylor]: Taking taylor expansion of (cos x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.367 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.367 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.378 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.378 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.378 * [taylor]: Taking taylor expansion of -1 in x 0.378 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) 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 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.393 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.393 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.393 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (cos x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (cos x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.410 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.410 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of 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 x in x 0.427 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.427 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.427 * [taylor]: Taking taylor expansion of -1 in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.428 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.428 * [taylor]: Taking taylor expansion of -1 in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.437 * * * [progress]: simplifying candidates 0.440 * [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) x)) (log1p (/ (/ (- 1.0 (cos x)) x) x)) (- (- (log (- 1.0 (cos x))) (log x)) (log x)) (- (log (/ (- 1.0 (cos x)) x)) (log 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)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos 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)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) 1) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) 1) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) 1) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 1) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) 1) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) 1) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ 1 x)) (* 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)) 0.448 * * [simplify]: iteration 0 : 592 enodes (cost 1453 ) 0.457 * * [simplify]: iteration 1 : 2212 enodes (cost 1292 ) 0.490 * * [simplify]: iteration 2 : 5001 enodes (cost 1283 ) 0.497 * [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) 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)) (pow x 2)) 3) (pow (/ (- 1.0 (cos x)) (pow x 2)) 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)) (pow x 2)) 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)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (pow (cbrt x) 3))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (/ x (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (/ (cbrt (- 1.0 (cos x))) x) x) (* (/ (/ (sqrt (- 1.0 (cos x))) 2) (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (sqrt (- 1.0 (cos x))) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (* (/ 1/2 (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (* (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 2) (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (* (/ 1/2 (cbrt x)) (/ 2 (pow (cbrt x) 3))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (pow x 2) (pow x 2) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma x 1/2 (- (* 1/720 (pow x 5)) (* 1/24 (pow x 3)))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 0.498 * * * [progress]: adding candidates to table 0.731 * * [progress]: iteration 3 / 4 0.731 * * * [progress]: picking best candidate 0.754 * * * * [pick]: Picked # 0.754 * * * [progress]: localizing error 0.761 * * * [progress]: generating rewritten candidates 0.761 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.778 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.781 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.830 * * * [progress]: generating series expansions 0.830 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.831 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in (x) around 0 0.831 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.831 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.831 * [taylor]: Taking taylor expansion of 1.0 in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.831 * [taylor]: Taking taylor expansion of (cos x) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.832 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.832 * [taylor]: Taking taylor expansion of 1.0 in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.832 * [taylor]: Taking taylor expansion of (cos x) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.852 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in (x) around 0 0.852 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.852 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.852 * [taylor]: Taking taylor expansion of x 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 x) (* x (cos (/ 1 x)))) in x 0.853 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.853 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.853 * [taylor]: Taking taylor expansion of x 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 0.868 * [approximate]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in (x) around 0 0.868 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.868 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.868 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.868 * [taylor]: Taking taylor expansion of -1 in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.869 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.869 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.869 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.869 * [taylor]: Taking taylor expansion of -1 in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.869 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.891 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.891 * [approximate]: Taking taylor expansion of (/ (cos x) x) in (x) around 0 0.891 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.891 * [taylor]: Taking taylor expansion of (cos x) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.892 * [taylor]: Taking taylor expansion of (cos x) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.897 * [approximate]: Taking taylor expansion of (* x (cos (/ 1 x))) in (x) around 0 0.897 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.905 * [approximate]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in (x) around 0 0.905 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.905 * [taylor]: Taking taylor expansion of -1 in x 0.905 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.905 * [taylor]: Taking taylor expansion of -1 in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (* -1 (* x (cos (/ -1 x)))) in x 0.905 * [taylor]: Taking taylor expansion of -1 in x 0.905 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.905 * [taylor]: Taking taylor expansion of -1 in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.919 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.919 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in (x) around 0 0.919 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.919 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.919 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (/ (cos x) x) in x 0.920 * [taylor]: Taking taylor expansion of (cos x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 x)) (/ (cos x) x)) x) in x 0.925 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ (cos x) x)) in x 0.925 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 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 (/ (cos x) x) in x 0.926 * [taylor]: Taking taylor expansion of (cos x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.948 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in (x) around 0 0.948 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.948 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 x) (* x (cos (/ 1 x))))) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x (cos (/ 1 x)))) in x 0.949 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.949 * [taylor]: Taking taylor expansion of 1.0 in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (* x (cos (/ 1 x))) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.980 * [approximate]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in (x) around 0 0.980 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 0.980 * [taylor]: Taking taylor expansion of -1 in x 0.980 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 0.980 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.980 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.980 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.980 * [taylor]: Taking taylor expansion of -1 in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (* -1 (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x)) in x 0.981 * [taylor]: Taking taylor expansion of -1 in x 0.981 * [taylor]: Taking taylor expansion of (* (- (* x (cos (/ -1 x))) (* 1.0 x)) x) in x 0.981 * [taylor]: Taking taylor expansion of (- (* x (cos (/ -1 x))) (* 1.0 x)) in x 0.981 * [taylor]: Taking taylor expansion of (* x (cos (/ -1 x))) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.981 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.981 * [taylor]: Taking taylor expansion of -1 in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of x in x 1.013 * * * [progress]: simplifying candidates 1.018 * [simplify]: Simplifying using # : (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (cbrt (/ (cos x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x)))))) (fma (- (cbrt (/ (cos x) x))) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (* (cbrt (/ (cos x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x))))) (fma (- (sqrt (/ (cos x) x))) (sqrt (/ (cos x) x)) (* (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt (cos x)) (cbrt x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (* (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x))))) (fma (- (/ (cbrt (cos x)) (sqrt x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (* (/ (cbrt (cos x)) (sqrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) x) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1)))) (fma (- (/ (cbrt (cos x)) x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1) (* (/ (cbrt (cos x)) x) (/ (* (cbrt (cos x)) (cbrt (cos x))) 1))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt (cos x)) (cbrt x))) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (* (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))))) (fma (- (/ (sqrt (cos x)) (sqrt x))) (/ (sqrt (cos x)) (sqrt x)) (* (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (sqrt (cos x)) x) (/ (sqrt (cos x)) 1)))) (fma (- (/ (sqrt (cos x)) x)) (/ (sqrt (cos x)) 1) (* (/ (sqrt (cos x)) x) (/ (sqrt (cos x)) 1))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cos x) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))) (fma (- (/ (cos x) (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ (cos x) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cos x) (sqrt x)) (/ 1 (sqrt x))))) (fma (- (/ (cos x) (sqrt x))) (/ 1 (sqrt x)) (* (/ (cos x) (sqrt x)) (/ 1 (sqrt x)))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cos x) x) (/ 1 1)))) (fma (- (/ (cos x) x)) (/ 1 1) (* (/ (cos x) x) (/ 1 1))) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ (cos x) x) 1))) (fma (- (/ (cos x) x)) 1 (* (/ (cos x) x) 1)) (fma (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (cbrt (/ 1.0 x)) (- (* (/ 1 x) (cos x)))) (fma (- (/ 1 x)) (cos x) (* (/ 1 x) (cos x))) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- (* (cbrt (/ (cos x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x)))))) (fma (- (cbrt (/ (cos x) x))) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (* (cbrt (/ (cos x) x)) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))))) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- (* (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x))))) (fma (- (sqrt (/ (cos x) x))) (sqrt (/ (cos x) x)) (* (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)))) (fma (sqrt (/ 1.0 x)) (sqrt (/ 1.0 x)) (- (* (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt (cos x)) (cbrt x))) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (* (/ (cbrt 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(sqrt x)))) (/ x (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x)))) (/ x (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)))) (/ x (- (/ 1.0 (cbrt x)) (/ (cos x) (cbrt x)))) (/ x (- (/ 1.0 (sqrt x)) (/ (cos x) (sqrt x)))) (/ x (- (/ 1.0 x) (/ (cos x) x))) (/ x (- (/ 1.0 x) (/ (cos x) x))) (/ x (- 1.0 (cos x))) (* x x) (* x (* x x)) (* x (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ (cos x) x) (/ (cos x) x)) (* (/ 1.0 x) (/ (cos x) x))))) (* x (+ (/ 1.0 x) (/ (cos x) 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)) (- (+ (* 1/24 (pow x 3)) (/ 1 x)) (* 1/2 x)) (/ (cos x) x) (/ (cos x) 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)) 1.042 * * [simplify]: iteration 0 : 1009 enodes (cost 6352 ) 1.056 * * [simplify]: iteration 1 : 3221 enodes (cost 4216 ) 1.105 * * [simplify]: iteration 2 : 5001 enodes (cost 3627 ) 1.137 * [simplify]: Simplified to: (- (* (* (cbrt (/ 1.0 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x)))) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (- (/ 1.0 x) (pow (/ (cbrt (cos x)) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ (cos x) (cbrt x))) (/ (cos x) (cbrt x)))) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (- (/ 1.0 x) (pow (/ (cbrt (cos x)) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ (cos x) (cbrt x))) (/ (cos x) (cbrt x)))) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (- (/ 1.0 x) (pow (/ (cbrt (cos x)) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ (cos x) (cbrt x))) (/ (cos x) (cbrt x)))) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (- (/ 1.0 x) (pow (/ (cbrt (cos x)) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ (cos x) (cbrt x))) (/ (cos x) (cbrt x)))) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (/ (- 1.0 (cos x)) x) (* (/ (cos x) x) (+ (- 1) 1)) (fma 1.0 (/ 1 x) (- (/ (cos x) x))) (* (/ (cos x) x) (+ (- 1) 1)) (fma 1.0 (/ 1 x) (- (/ (cos x) x))) (* (/ (cos x) x) (+ (- 1) 1)) (- (* 1.0 (/ 1 x)) (pow (/ (cbrt (cos x)) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ (cos x) (cbrt x))) (/ (cos x) (cbrt x)))) (fma 1.0 (/ 1 x) (- (/ (cos x) x))) (* (/ (cos x) x) (+ (- 1) 1)) (fma 1.0 (/ 1 x) (- (/ (cos x) x))) (* (/ (cos x) x) (+ (- 1) 1)) (- (* 1.0 (/ 1 x)) (pow (/ (cbrt (cos x)) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ (cos x) (cbrt x))) (/ (cos x) (cbrt x)))) (fma 1.0 (/ 1 x) (- (/ (cos x) x))) (* (/ (cos x) x) (+ (- 1) 1)) (fma 1.0 (/ 1 x) (- (/ (cos x) x))) (* (/ (cos x) x) (+ (- 1) 1)) (- (* 1.0 (/ 1 x)) (pow (/ (cbrt (cos x)) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ (cos x) (cbrt x))) (/ (cos x) (cbrt x)))) (fma 1.0 (/ 1 x) (- (/ (cos x) x))) (* (/ (cos x) x) (+ (- 1) 1)) (fma 1.0 (/ 1 x) (- (/ (cos x) x))) (* (/ (cos x) x) (+ (- 1) 1)) (fma 1.0 (/ 1 x) (- (/ (cos x) x))) (* (/ (cos x) x) (+ (- 1) 1)) (fma 1.0 (/ 1 x) (- (/ (cos x) x))) (* (/ (cos x) x) (+ (- 1) 1)) (expm1 (- (/ 1.0 x) (/ (cos x) x))) (log1p (- (/ 1.0 x) (/ (cos x) x))) (- (/ (cos x) x)) (- (/ (cos x) x)) (- (/ (cos x) x)) (- (/ (cos x) x)) (- (/ (cos x) x)) (- (/ (cos x) x)) (- (/ (cos x) x)) (- (/ (cos x) x)) (- (/ (cos x) x)) (- (/ (cos x) x)) (- (/ (cos x) x)) (- (/ (cos x) x)) (- (/ (cos x) x)) (exp (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (cbrt (- (/ 1.0 x) (/ (cos x) x))) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (- 1.0 (cos x)) (* x (- 1.0 (cos x))) (pow x 2) (- (pow (/ 1.0 x) 3) (pow (/ (cos x) x) 3)) (fma (/ (cos x) x) (+ (/ 1.0 x) (/ (cos x) x)) (* (/ 1.0 x) (/ 1.0 x))) (- (/ (cos x) x)) (* (+ (/ 1.0 x) (/ (cos x) x)) (/ (- 1.0 (cos x)) x)) (+ (/ 1.0 x) (/ (cos x) x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (- 1.0 (cos x)) (- (/ (cos x) x)) (expm1 (/ (cos x) x)) (log1p (/ (cos x) x)) (log (/ (cos x) x)) (log (/ (cos x) x)) (exp (/ (cos x) x)) (pow (/ (cos x) x) 3) (* (cbrt (/ (cos x) x)) (cbrt (/ (cos x) x))) (cbrt (/ (cos x) x)) (pow (/ (cos x) x) 3) (sqrt (/ (cos x) x)) (sqrt (/ (cos x) x)) (- (cos x)) (- x) (/ (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (cos x)) (cbrt x)) (/ (* (cbrt (cos x)) (cbrt (cos x))) (sqrt x)) (/ (cbrt (cos x)) (sqrt x)) (* (cbrt (cos x)) (cbrt (cos x))) (/ (cbrt (cos x)) x) (/ (sqrt (cos x)) (* (cbrt x) (cbrt x))) (/ (sqrt (cos x)) (cbrt x)) (/ (sqrt (cos x)) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)) (sqrt (cos x)) (/ (sqrt (cos x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (cos x) (cbrt x)) (/ 1 (sqrt x)) (/ (cos x) (sqrt x)) 1 (/ (cos x) x) (/ 1 x) (/ x (cos x)) (/ (cos x) (* (cbrt x) (cbrt x))) (/ (cos x) (sqrt x)) (cos x) (/ x (cbrt (cos x))) (/ x (sqrt (cos x))) (/ x (cos x)) (expm1 (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (log1p (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (log (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (log (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (exp (/ (- 1.0 (cos x)) (pow x 2))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (* (cbrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (cbrt (/ (- (/ 1.0 x) (/ (cos x) x)) x))) (cbrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (sqrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (sqrt (/ (- (/ 1.0 x) (/ (cos x) x)) x)) (/ (- (- 1.0 (cos x))) x) (- x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt x)) (/ (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (sqrt x)) (/ (cbrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt x)) (* (cbrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (/ (cbrt (- (/ 1.0 x) (/ (cos x) x))) x) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (cbrt x)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt x)) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) (sqrt x)) (sqrt (- (/ 1.0 x) (/ (cos x) x))) (/ (sqrt (- (/ 1.0 x) (/ (cos x) x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (cbrt x)) (/ (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (sqrt x)) (/ (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (sqrt x)) (+ (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) (/ (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x))) x) (/ (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (cbrt x)) (/ (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (sqrt x)) (/ (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (sqrt x)) (+ (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) (/ (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x))) x) (/ (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (* (cbrt x) (cbrt x))) (/ (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (cbrt x)) (/ (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (sqrt x)) (/ (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (sqrt x)) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) (/ (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x))) x) (/ (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (* (cbrt x) (cbrt x))) (/ (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (cbrt x)) (/ (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (sqrt x)) (+ (/ (sqrt 1.0) x) (- (/ (sqrt (cos x)) x))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) (/ (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x))) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (sqrt x) (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* x (cbrt x))) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (sqrt x))) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 x) (* (/ x (- 1.0 (cos x))) x) (/ (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (- (/ 1.0 x) (/ (cos x) x)))) (/ x (sqrt (- (/ 1.0 x) (/ (cos x) x)))) (* (/ x (- 1.0 (cos x))) x) (/ x (- (sqrt (/ 1.0 x)) (sqrt (/ (cos x) x)))) (/ x (- (sqrt (/ 1.0 x)) (/ (sqrt (cos x)) (sqrt x)))) (/ x (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ (cos x) x)))) (/ x (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt (cos x)) (sqrt x)))) (* (/ x (- 1.0 (cos x))) (cbrt x)) (* (/ x (- 1.0 (cos x))) (sqrt x)) (* (/ x (- 1.0 (cos x))) x) (* (/ x (- 1.0 (cos x))) x) (/ x (- 1.0 (cos x))) (pow x 2) (pow x 3) (* (+ (* (/ (cos x) x) (+ (/ (cos x) x) (/ 1.0 x))) (* (/ 1.0 x) (/ 1.0 x))) x) (* x (+ (/ 1.0 x) (/ (cos x) 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 3) 1/24 (- (/ 1 x) (* 1/2 x))) (/ (cos x) x) (/ (cos x) 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)) 1.141 * * * [progress]: adding candidates to table 1.454 * * [progress]: iteration 4 / 4 1.454 * * * [progress]: picking best candidate 1.480 * * * * [pick]: Picked # 1.480 * * * [progress]: localizing error 1.490 * * * [progress]: generating rewritten candidates 1.490 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 1.495 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.496 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.497 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.499 * * * [progress]: generating series expansions 1.499 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 1.500 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.500 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.500 * [taylor]: Taking taylor expansion of 1.0 in x 1.500 * [taylor]: Taking taylor expansion of (cos x) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.500 * [taylor]: Taking taylor expansion of 1.0 in x 1.500 * [taylor]: Taking taylor expansion of (cos x) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.510 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.510 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.510 * [taylor]: Taking taylor expansion of 1.0 in x 1.510 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.511 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.511 * [taylor]: Taking taylor expansion of 1.0 in x 1.511 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.514 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.514 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.514 * [taylor]: Taking taylor expansion of -1 in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.514 * [taylor]: Taking taylor expansion of -1 in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.517 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.518 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.518 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.518 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.518 * [taylor]: Taking taylor expansion of 1/3 in x 1.518 * [taylor]: Taking taylor expansion of (log x) in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.519 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.519 * [taylor]: Taking taylor expansion of 1/3 in x 1.519 * [taylor]: Taking taylor expansion of (log x) in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.572 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.572 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.572 * [taylor]: Taking taylor expansion of 1/3 in x 1.572 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.573 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.573 * [taylor]: Taking taylor expansion of 1/3 in x 1.573 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.628 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.628 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.628 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.628 * [taylor]: Taking taylor expansion of -1 in x 1.629 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.629 * [taylor]: Taking taylor expansion of 1/3 in x 1.629 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.630 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.630 * [taylor]: Taking taylor expansion of -1 in x 1.631 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.631 * [taylor]: Taking taylor expansion of 1/3 in x 1.631 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.690 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.691 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.691 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.691 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.691 * [taylor]: Taking taylor expansion of 1/3 in x 1.691 * [taylor]: Taking taylor expansion of (log x) in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.691 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.691 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.691 * [taylor]: Taking taylor expansion of 1/3 in x 1.691 * [taylor]: Taking taylor expansion of (log x) in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.743 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.743 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.743 * [taylor]: Taking taylor expansion of 1/3 in x 1.743 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.744 * [taylor]: Taking taylor expansion of 1/3 in x 1.744 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.798 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.798 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.798 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.798 * [taylor]: Taking taylor expansion of -1 in x 1.799 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.799 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.799 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.799 * [taylor]: Taking taylor expansion of 1/3 in x 1.799 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.799 * [taylor]: Taking taylor expansion of x in x 1.800 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.800 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.800 * [taylor]: Taking taylor expansion of -1 in x 1.801 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.801 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.801 * [taylor]: Taking taylor expansion of 1/3 in x 1.801 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.865 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.866 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.866 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.866 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.866 * [taylor]: Taking taylor expansion of 1/3 in x 1.866 * [taylor]: Taking taylor expansion of (log x) in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.866 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.866 * [taylor]: Taking taylor expansion of 1/3 in x 1.866 * [taylor]: Taking taylor expansion of (log x) in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.918 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.918 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.918 * [taylor]: Taking taylor expansion of 1/3 in x 1.918 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.919 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.919 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.919 * [taylor]: Taking taylor expansion of 1/3 in x 1.919 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.968 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.968 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.969 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.969 * [taylor]: Taking taylor expansion of -1 in x 1.969 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.969 * [taylor]: Taking taylor expansion of 1/3 in x 1.969 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.970 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.970 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.970 * [taylor]: Taking taylor expansion of -1 in x 1.971 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.971 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.971 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.971 * [taylor]: Taking taylor expansion of 1/3 in x 1.971 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.971 * [taylor]: Taking taylor expansion of x in x 2.036 * * * [progress]: simplifying candidates 2.037 * [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 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt 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 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.041 * * [simplify]: iteration 0 : 183 enodes (cost 370 ) 2.045 * * [simplify]: iteration 1 : 534 enodes (cost 270 ) 2.056 * * [simplify]: iteration 2 : 2582 enodes (cost 252 ) 2.120 * * [simplify]: iteration 3 : 5001 enodes (cost 237 ) 2.122 * [simplify]: Simplified to: (- 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)) (- 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)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt 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)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.123 * * * [progress]: adding candidates to table 2.261 * [progress]: [Phase 3 of 3] Extracting. 2.261 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 2.264 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.264 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 2.322 * * * [regime]: Found split indices: #