13.698 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.058 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.059 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.060 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.062 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.063 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.063 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.063 * * [progress]: iteration 1 / 4 0.063 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.078 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.084 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.084 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (cos x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (cos x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.102 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.115 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.115 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.115 * [taylor]: Taking taylor expansion of -1 in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.115 * [taylor]: Taking taylor expansion of -1 in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.126 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.126 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (cos x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (cos x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.140 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [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 0.144 * [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 0.148 * * * [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)) 0.179 * * * [progress]: adding candidates to table 0.283 * * [progress]: iteration 2 / 4 0.283 * * * [progress]: picking best candidate 0.302 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.308 * * * [progress]: generating rewritten candidates 0.308 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.313 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.319 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.335 * * * [progress]: generating series expansions 0.335 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.336 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of (cos x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of (cos x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.346 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 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 0.347 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.350 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.350 * [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 0.350 * [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 0.354 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.354 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (cos x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.356 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (cos x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.374 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.385 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.385 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.386 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.401 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.401 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.401 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (cos x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (cos x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.419 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.419 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.432 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.432 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.432 * [taylor]: Taking taylor expansion of 1.0 in x 0.432 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.432 * [taylor]: Taking taylor expansion of -1 in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.433 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.443 * * * [progress]: simplifying candidates 0.450 * [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)) 0.459 * * [simplify]: iteration 0 : 592 enodes (cost 1453 ) 0.468 * * [simplify]: iteration 1 : 2212 enodes (cost 1292 ) 0.500 * * [simplify]: iteration 2 : 5001 enodes (cost 1283 ) 0.508 * [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)) 0.509 * * * [progress]: adding candidates to table 0.735 * * [progress]: iteration 3 / 4 0.735 * * * [progress]: picking best candidate 0.754 * * * * [pick]: Picked # 0.754 * * * [progress]: localizing error 0.763 * * * [progress]: generating rewritten candidates 0.763 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 0.771 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.776 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.780 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.791 * * * [progress]: generating series expansions 0.791 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 0.791 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.791 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [taylor]: Taking taylor expansion of (cos x) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [taylor]: Taking taylor expansion of (cos x) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.802 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.802 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.802 * [taylor]: Taking taylor expansion of 1.0 in x 0.802 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.803 * [taylor]: Taking taylor expansion of 1.0 in x 0.803 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.806 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.806 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.806 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.806 * [taylor]: Taking taylor expansion of -1 in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.806 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.806 * [taylor]: Taking taylor expansion of -1 in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.809 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.810 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.810 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (cos x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (cos x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.820 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.820 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.820 * [taylor]: Taking taylor expansion of 1.0 in x 0.820 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.820 * [taylor]: Taking taylor expansion of 1.0 in x 0.820 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.823 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.823 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.823 * [taylor]: Taking taylor expansion of 1.0 in x 0.823 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.823 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.824 * [taylor]: Taking taylor expansion of -1 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.824 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.824 * [taylor]: Taking taylor expansion of -1 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.827 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.827 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 0.827 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.827 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.827 * [taylor]: Taking taylor expansion of 1.0 in x 0.827 * [taylor]: Taking taylor expansion of (cos x) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.830 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * [taylor]: Taking taylor expansion of (cos x) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.856 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.856 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.857 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.878 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 0.878 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.878 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.878 * [taylor]: Taking taylor expansion of 1.0 in x 0.878 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.879 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.879 * [taylor]: Taking taylor expansion of 1.0 in x 0.879 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.900 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.901 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.901 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (cos x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (cos x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.916 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.916 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.927 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.927 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.927 * [taylor]: Taking taylor expansion of -1 in x 0.927 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.927 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.927 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.927 * [taylor]: Taking taylor expansion of -1 in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.928 * [taylor]: Taking taylor expansion of -1 in x 0.928 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.928 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.928 * [taylor]: Taking taylor expansion of 1.0 in x 0.928 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.928 * [taylor]: Taking taylor expansion of -1 in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.948 * * * [progress]: simplifying candidates 0.950 * [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 (exp (log (- 1.0 (cos x))))) (log1p (exp (log (- 1.0 (cos x))))) (exp 1) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (/ (exp (log (- 1.0 (cos x)))) x)) (log1p (/ (exp (log (- 1.0 (cos x)))) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (exp (log (- 1.0 (cos x)))) x)) (exp (/ (exp (log (- 1.0 (cos x)))) x)) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* x x) x)) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) x)) (cbrt (/ (exp (log (- 1.0 (cos x)))) x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) x)) (* (* (/ (exp (log (- 1.0 (cos x)))) x) (/ (exp (log (- 1.0 (cos x)))) x)) (/ (exp (log (- 1.0 (cos x)))) x)) (sqrt (/ (exp (log (- 1.0 (cos x)))) x)) (sqrt (/ (exp (log (- 1.0 (cos x)))) x)) (- (exp (log (- 1.0 (cos x))))) (- x) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (cbrt x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt x)) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1) (/ (exp (log (cbrt (- 1.0 (cos x))))) x) (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (cbrt x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) 1) (/ (exp (log (sqrt (- 1.0 (cos x))))) x) (/ (exp (log 1)) (* (cbrt x) (cbrt x))) (/ (exp (log (- 1.0 (cos x)))) (cbrt x)) (/ (exp (log 1)) (sqrt x)) (/ (exp (log (- 1.0 (cos x)))) (sqrt x)) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) x) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt x) (cbrt x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt x)) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt x)) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt x)) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) 1) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) x) (/ (exp (log 1)) (* (cbrt x) (cbrt x))) (/ (exp (log (- 1.0 (cos x)))) (cbrt x)) (/ (exp (log 1)) (sqrt x)) (/ (exp (log (- 1.0 (cos x)))) (sqrt x)) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) x) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (cbrt x)) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt x)) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sqrt x)) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1) (/ (cbrt (exp (log (- 1.0 (cos x))))) x) (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) 1) (/ (sqrt (exp (log (- 1.0 (cos x))))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (exp (log (- 1.0 (cos x)))) (cbrt x)) (/ 1 (sqrt x)) (/ (exp (log (- 1.0 (cos x)))) (sqrt x)) (/ 1 1) (/ (exp (log (- 1.0 (cos x)))) x) (/ 1 x) (/ x (exp (log (- 1.0 (cos x))))) (/ (exp (log (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt x)) (/ (exp (log (- 1.0 (cos x)))) 1) (/ x (exp (log (cbrt (- 1.0 (cos x)))))) (/ x (exp (log (sqrt (- 1.0 (cos x)))))) (/ x (exp (log (- 1.0 (cos x))))) (/ x (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ x (exp (log (- 1.0 (cos x))))) (/ x (cbrt (exp (log (- 1.0 (cos x)))))) (/ x (sqrt (exp (log (- 1.0 (cos x)))))) (/ x (exp (log (- 1.0 (cos x))))) (* x (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* x (exp (log (+ 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)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 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)) 0.956 * * [simplify]: iteration 0 : 361 enodes (cost 939 ) 0.962 * * [simplify]: iteration 1 : 1100 enodes (cost 784 ) 0.982 * * [simplify]: iteration 2 : 5002 enodes (cost 738 ) 0.987 * [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))) (pow (exp 2) (log (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))) (log1p (- 1.0 (cos x))) E (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) E (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 1.0 (cos x)) (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (exp 2) (log (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))) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (* 2 (log (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) 0 (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) 0 (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (pow (log (- 1.0 (cos x))) 3) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (/ (exp (log (- 1.0 (cos x)))) x)) (log1p (/ (exp (log (- 1.0 (cos x)))) x)) (- (log (- 1.0 (cos x))) (log x)) (- (log (- 1.0 (cos x))) (log x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) x)) (cbrt (/ (exp (log (- 1.0 (cos x)))) x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (exp (log (- 1.0 (cos x)))) x)) (sqrt (/ (exp (log (- 1.0 (cos x)))) x)) (- (cos x) 1.0) (- x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (/ (cbrt (- 1.0 (cos x))) 1) (cbrt x)) (/ (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (pow x 1/2)) (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (/ (cbrt (exp (log (- 1.0 (cos x))))) x) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt x) (cbrt x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) 1)) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (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)) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) 1)) (/ (- (sqrt 1.0) (sqrt (cos x))) (pow x 1/2)) (+ (sqrt 1.0) (sqrt (cos x))) (- (/ (sqrt 1.0) x) (/ (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) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt x)) (cbrt x)) (/ (/ (cbrt (- 1.0 (cos x))) 1) (cbrt x)) (/ (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (pow x 1/2)) (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (/ (cbrt (exp (log (- 1.0 (cos x))))) x) (/ (sqrt (- 1.0 (cos x))) (* (* (cbrt x) (cbrt x)) 1)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) 1)) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) (pow x 1/2)) (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) (/ 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 (exp (log (- 1.0 (cos x)))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ x (- 1.0 (cos x))) (/ x (cbrt (exp (log (- 1.0 (cos x)))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (* x (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* (+ 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 (log x) 2 (- (log 1/2) (fma 1/12 (pow x 2) (* 1/1440 (pow x 4))))) (log (- 1.0 (cos x))) (log (- 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)) 0.987 * * * [progress]: adding candidates to table 1.191 * * [progress]: iteration 4 / 4 1.191 * * * [progress]: picking best candidate 1.208 * * * * [pick]: Picked # 1.208 * * * [progress]: localizing error 1.220 * * * [progress]: generating rewritten candidates 1.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 1.224 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.229 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.234 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.250 * * * [progress]: generating series expansions 1.250 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 1.250 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.250 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [taylor]: Taking taylor expansion of (cos x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [taylor]: Taking taylor expansion of (cos x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.261 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.261 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.261 * [taylor]: Taking taylor expansion of 1.0 in x 1.261 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.261 * [taylor]: Taking taylor expansion of 1.0 in x 1.261 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.265 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.265 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.265 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.265 * [taylor]: Taking taylor expansion of -1 in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.265 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.265 * [taylor]: Taking taylor expansion of -1 in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.269 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.269 * [approximate]: Taking taylor expansion of (pow E (log (- 1.0 (cos x)))) in (x) around 0 1.269 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos x)))) in x 1.269 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos x))) (log E))) in x 1.269 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos x))) (log E)) in x 1.269 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.269 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.269 * [taylor]: Taking taylor expansion of 1.0 in x 1.269 * [taylor]: Taking taylor expansion of (cos x) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (log E) in x 1.271 * [taylor]: Taking taylor expansion of E in x 1.272 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos x)))) in x 1.272 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos x))) (log E))) in x 1.272 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos x))) (log E)) in x 1.272 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.272 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.272 * [taylor]: Taking taylor expansion of 1.0 in x 1.273 * [taylor]: Taking taylor expansion of (cos x) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of (log E) in x 1.275 * [taylor]: Taking taylor expansion of E in x 1.317 * [approximate]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.317 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ 1 x))))) in x 1.317 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ 1 x)))) (log E))) in x 1.317 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ 1 x)))) (log E)) in x 1.317 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.317 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.317 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (log E) in x 1.317 * [taylor]: Taking taylor expansion of E in x 1.318 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ 1 x))))) in x 1.318 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ 1 x)))) (log E))) in x 1.318 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ 1 x)))) (log E)) in x 1.318 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.318 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.318 * [taylor]: Taking taylor expansion of 1.0 in x 1.318 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (log E) in x 1.318 * [taylor]: Taking taylor expansion of E in x 1.389 * [approximate]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ -1 x))))) in (x) around 0 1.389 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ -1 x))))) in x 1.389 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ -1 x)))) (log E))) in x 1.389 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ -1 x)))) (log E)) in x 1.389 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.389 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.389 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.389 * [taylor]: Taking taylor expansion of -1 in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (log E) in x 1.390 * [taylor]: Taking taylor expansion of E in x 1.390 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ -1 x))))) in x 1.390 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ -1 x)))) (log E))) in x 1.390 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ -1 x)))) (log E)) in x 1.390 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.390 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.390 * [taylor]: Taking taylor expansion of 1.0 in x 1.390 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.390 * [taylor]: Taking taylor expansion of -1 in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (log E) in x 1.390 * [taylor]: Taking taylor expansion of E in x 1.462 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.462 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 1.462 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.462 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.462 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of (cos x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.464 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.464 * [taylor]: Taking taylor expansion of (cos x) in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.491 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.491 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.491 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.492 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.514 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.514 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 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 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.515 * [taylor]: Taking taylor expansion of 1.0 in x 1.515 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.515 * [taylor]: Taking taylor expansion of -1 in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.537 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.537 * [approximate]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos x)))) x) in (x) around 0 1.537 * [taylor]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos x)))) x) in x 1.537 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos x)))) in x 1.537 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos x))) (log E))) in x 1.537 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos x))) (log E)) in x 1.537 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.537 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.537 * [taylor]: Taking taylor expansion of 1.0 in x 1.537 * [taylor]: Taking taylor expansion of (cos x) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (log E) in x 1.540 * [taylor]: Taking taylor expansion of E in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (/ (pow E (log (- 1.0 (cos x)))) x) in x 1.541 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos x)))) in x 1.541 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos x))) (log E))) in x 1.541 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos x))) (log E)) in x 1.541 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.541 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.541 * [taylor]: Taking taylor expansion of 1.0 in x 1.541 * [taylor]: Taking taylor expansion of (cos x) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (log E) in x 1.544 * [taylor]: Taking taylor expansion of E in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.598 * [approximate]: Taking taylor expansion of (* x (pow E (log (- 1.0 (cos (/ 1 x)))))) in (x) around 0 1.598 * [taylor]: Taking taylor expansion of (* x (pow E (log (- 1.0 (cos (/ 1 x)))))) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ 1 x))))) in x 1.598 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ 1 x)))) (log E))) in x 1.598 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ 1 x)))) (log E)) in x 1.598 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.598 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.598 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (log E) in x 1.599 * [taylor]: Taking taylor expansion of E in x 1.599 * [taylor]: Taking taylor expansion of (* x (pow E (log (- 1.0 (cos (/ 1 x)))))) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ 1 x))))) in x 1.599 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ 1 x)))) (log E))) in x 1.599 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ 1 x)))) (log E)) in x 1.599 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.599 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.599 * [taylor]: Taking taylor expansion of 1.0 in x 1.599 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (log E) in x 1.599 * [taylor]: Taking taylor expansion of E in x 1.720 * [approximate]: Taking taylor expansion of (* -1 (* (pow E (log (- 1.0 (cos (/ -1 x))))) x)) in (x) around 0 1.720 * [taylor]: Taking taylor expansion of (* -1 (* (pow E (log (- 1.0 (cos (/ -1 x))))) x)) in x 1.720 * [taylor]: Taking taylor expansion of -1 in x 1.720 * [taylor]: Taking taylor expansion of (* (pow E (log (- 1.0 (cos (/ -1 x))))) x) in x 1.720 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ -1 x))))) in x 1.720 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ -1 x)))) (log E))) in x 1.720 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ -1 x)))) (log E)) in x 1.720 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.720 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.720 * [taylor]: Taking taylor expansion of 1.0 in x 1.720 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.720 * [taylor]: Taking taylor expansion of -1 in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of (log E) in x 1.720 * [taylor]: Taking taylor expansion of E in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.721 * [taylor]: Taking taylor expansion of (* -1 (* (pow E (log (- 1.0 (cos (/ -1 x))))) x)) in x 1.721 * [taylor]: Taking taylor expansion of -1 in x 1.721 * [taylor]: Taking taylor expansion of (* (pow E (log (- 1.0 (cos (/ -1 x))))) x) in x 1.721 * [taylor]: Taking taylor expansion of (pow E (log (- 1.0 (cos (/ -1 x))))) in x 1.721 * [taylor]: Taking taylor expansion of (exp (* (log (- 1.0 (cos (/ -1 x)))) (log E))) in x 1.721 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (cos (/ -1 x)))) (log E)) in x 1.721 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.721 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.721 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.721 * [taylor]: Taking taylor expansion of -1 in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.721 * [taylor]: Taking taylor expansion of (log E) in x 1.721 * [taylor]: Taking taylor expansion of E in x 1.721 * [taylor]: Taking taylor expansion of x in x 1.848 * * * [progress]: simplifying candidates 1.850 * [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 (pow E (log (- 1.0 (cos x))))) (log1p (pow E (log (- 1.0 (cos x))))) (* 1 (log (- 1.0 (cos x)))) (* (log E) (log (- 1.0 (cos x)))) (* (log E) (log (- 1.0 (cos x)))) (* 1 (log (- 1.0 (cos x)))) (pow E (log (- (pow 1.0 3) (pow (cos x) 3)))) (pow E (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (pow E (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (pow E (log (+ 1.0 (cos x)))) (pow E 1) (pow E (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (pow E (sqrt (log (- 1.0 (cos x))))) (pow E 1) (pow E (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (pow E (log (cbrt (- 1.0 (cos x))))) (pow E (log (sqrt (- 1.0 (cos x))))) (pow E (log (sqrt (- 1.0 (cos x))))) (pow E (log 1)) (pow E (log (- 1.0 (cos x)))) (pow E (log (+ (sqrt 1.0) (sqrt (cos x))))) (pow E (log (- (sqrt 1.0) (sqrt (cos x))))) (pow E (log 1)) (pow E (log (- 1.0 (cos x)))) (pow (* (cbrt E) (cbrt E)) (log (- 1.0 (cos x)))) (pow (cbrt E) (log (- 1.0 (cos x)))) (pow (sqrt E) (log (- 1.0 (cos x)))) (pow (sqrt E) (log (- 1.0 (cos x)))) (pow 1 (log (- 1.0 (cos x)))) (pow E (log (- 1.0 (cos x)))) (log (pow E (log (- 1.0 (cos x))))) (exp (pow E (log (- 1.0 (cos x))))) (* (cbrt (pow E (log (- 1.0 (cos x))))) (cbrt (pow E (log (- 1.0 (cos x)))))) (cbrt (pow E (log (- 1.0 (cos x))))) (* (* (pow E (log (- 1.0 (cos x)))) (pow E (log (- 1.0 (cos x))))) (pow E (log (- 1.0 (cos x))))) (sqrt (pow E (log (- 1.0 (cos x))))) (sqrt (pow E (log (- 1.0 (cos x))))) (pow E (/ (log (- 1.0 (cos x))) 2)) (pow E (/ (log (- 1.0 (cos x))) 2)) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (/ (pow E (log (- 1.0 (cos x)))) x)) (log1p (/ (pow E (log (- 1.0 (cos x)))) x)) (- (* 1 (log (- 1.0 (cos x)))) (log x)) (- (* (log E) (log (- 1.0 (cos x)))) (log x)) (- (* (log E) (log (- 1.0 (cos x)))) (log x)) (- (log (pow E (log (- 1.0 (cos x))))) (log x)) (log (/ (pow E (log (- 1.0 (cos x)))) x)) (exp (/ (pow E (log (- 1.0 (cos x)))) x)) (/ (* (* (pow E (log (- 1.0 (cos x)))) (pow E (log (- 1.0 (cos x))))) (pow E (log (- 1.0 (cos x))))) (* (* x x) x)) (* (cbrt (/ (pow E (log (- 1.0 (cos x)))) x)) (cbrt (/ (pow E (log (- 1.0 (cos x)))) x))) (cbrt (/ (pow E (log (- 1.0 (cos x)))) x)) (* (* (/ (pow E (log (- 1.0 (cos x)))) x) (/ (pow E (log (- 1.0 (cos x)))) x)) (/ (pow E (log (- 1.0 (cos x)))) x)) (sqrt (/ (pow E (log (- 1.0 (cos x)))) x)) (sqrt (/ (pow E (log (- 1.0 (cos x)))) x)) (- (pow E (log (- 1.0 (cos x))))) (- x) (/ (pow E (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (pow E (log (cbrt (- 1.0 (cos x))))) (cbrt x)) (/ (pow E (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt x)) (/ (pow E (log (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (pow E (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1) (/ (pow E (log (cbrt (- 1.0 (cos x))))) x) (/ (pow E (log (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (pow E (log (sqrt (- 1.0 (cos x))))) (cbrt x)) (/ (pow E (log (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (pow E (log (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (pow E (log (sqrt (- 1.0 (cos x))))) 1) (/ (pow E (log (sqrt (- 1.0 (cos x))))) x) (/ (pow E (log 1)) (* (cbrt x) (cbrt x))) (/ (pow E (log (- 1.0 (cos x)))) (cbrt x)) (/ (pow E (log 1)) (sqrt x)) (/ (pow E (log (- 1.0 (cos x)))) (sqrt x)) (/ (pow E (log 1)) 1) (/ (pow E (log (- 1.0 (cos x)))) x) (/ (pow E (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt x) (cbrt x))) (/ (pow E (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt x)) (/ (pow E (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt x)) (/ (pow E (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt x)) (/ (pow E (log (+ (sqrt 1.0) (sqrt (cos x))))) 1) (/ (pow E (log (- (sqrt 1.0) (sqrt (cos x))))) x) (/ (pow E (log 1)) (* (cbrt x) (cbrt x))) (/ (pow E (log (- 1.0 (cos x)))) (cbrt x)) (/ (pow E (log 1)) (sqrt x)) (/ (pow E (log (- 1.0 (cos x)))) (sqrt x)) (/ (pow E (log 1)) 1) (/ (pow E (log (- 1.0 (cos x)))) x) (/ (pow (* (cbrt E) (cbrt E)) (log (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (pow (cbrt E) (log (- 1.0 (cos x)))) (cbrt x)) (/ (pow (* (cbrt E) (cbrt E)) (log (- 1.0 (cos x)))) (sqrt x)) (/ (pow (cbrt E) (log (- 1.0 (cos x)))) (sqrt x)) (/ (pow (* (cbrt E) (cbrt E)) (log (- 1.0 (cos x)))) 1) (/ (pow (cbrt E) (log (- 1.0 (cos x)))) x) (/ (pow (sqrt E) (log (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (pow (sqrt E) (log (- 1.0 (cos x)))) (cbrt x)) (/ (pow (sqrt E) (log (- 1.0 (cos x)))) (sqrt x)) (/ (pow (sqrt E) (log (- 1.0 (cos x)))) (sqrt x)) (/ (pow (sqrt E) (log (- 1.0 (cos x)))) 1) (/ (pow (sqrt E) (log (- 1.0 (cos x)))) x) (/ (pow 1 (log (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (pow E (log (- 1.0 (cos x)))) (cbrt x)) (/ (pow 1 (log 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2))) (* x (pow E (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* x (pow E (log (+ 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)) (- (+ (exp (+ (* 2 (log x)) (log 1/2))) (* 1/360 (* (pow x 4) (exp (+ (* 2 (log x)) (log 1/2)))))) (* 1/12 (* (pow x 2) (exp (+ (* 2 (log x)) (log 1/2)))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (- (+ (* 1/360 (* (pow x 3) (exp (+ (* 2 (log x)) (log 1/2))))) (/ (exp (+ (* 2 (log x)) (log 1/2))) x)) (* 1/12 (* x (exp (+ (* 2 (log x)) (log 1/2)))))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 1.858 * * [simplify]: iteration 0 : 484 enodes (cost 1312 ) 1.866 * * [simplify]: iteration 1 : 1789 enodes (cost 1102 ) 1.894 * * [simplify]: iteration 2 : 5001 enodes (cost 1056 ) 1.900 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) 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(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) (/ (pow E (/ (log (- 1.0 (cos x))) 2)) (* (cbrt x) (cbrt x))) (/ (pow E (/ (log (- 1.0 (cos x))) 2)) (cbrt x)) (/ (pow E (/ (log (- 1.0 (cos x))) 2)) (sqrt x)) (/ (pow E (/ (log (- 1.0 (cos x))) 2)) (sqrt x)) (pow E (/ (log (- 1.0 (cos x))) 2)) (/ (pow E (/ (log (- 1.0 (cos x))) 2)) 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 (pow E (log (cbrt (- 1.0 (cos x)))))) (/ x (pow E (log (sqrt (- 1.0 (cos x)))))) (/ x (- 1.0 (cos x))) (/ x (pow E (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ x (- 1.0 (cos x))) (/ x (pow (cbrt E) (log (- 1.0 (cos x))))) (/ x (pow (sqrt E) (log (- 1.0 (cos x))))) (/ x (- 1.0 (cos x))) (/ x (cbrt (pow E (log (- 1.0 (cos x)))))) (/ x (sqrt (pow E (log (- 1.0 (cos x)))))) (/ x (- 1.0 (cos x))) (/ x (pow E (/ (log (- 1.0 (cos x))) 2))) (* x (pow E (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* x (pow E (log (+ 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 (* 1/2 (pow x 2)) (- (* 1/360 (pow x 4)) (* 1/12 (pow x 2))) (* 1/2 (pow x 2))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (log x) 2 (- (log 1/2) (fma 1/12 (pow x 2) (* 1/1440 (pow x 4))))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (fma (- (* 1/12 x)) (* 1/2 (pow x 2)) (fma (* 1/360 (pow x 3)) (* 1/2 (pow x 2)) (/ (pow x 2) (/ x 1/2)))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 1.901 * * * [progress]: adding candidates to table 2.179 * [progress]: [Phase 3 of 3] Extracting. 2.179 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 2.180 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.180 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 2.235 * * * [regime]: Found split indices: #