12.530 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.061 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.062 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.063 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.065 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.066 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.066 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.066 * * [progress]: iteration 1 / 4 0.066 * * * [progress]: picking best candidate 0.068 * * * * [pick]: Picked # 0.068 * * * [progress]: localizing error 0.074 * * * [progress]: generating rewritten candidates 0.074 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.083 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.088 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.088 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (cos x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (cos x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.106 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.106 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.124 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.124 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.124 * [taylor]: Taking taylor expansion of -1 in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.124 * [taylor]: Taking taylor expansion of -1 in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.135 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.135 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of (cos x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of (cos x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.145 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 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 x in x 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.149 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.149 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.149 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.149 * [taylor]: Taking taylor expansion of -1 in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.149 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.149 * [taylor]: Taking taylor expansion of -1 in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.153 * * * [progress]: simplifying candidates 0.153 * [simplify]: Simplifying using # : (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.158 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.163 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.182 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.184 * [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)) 0.184 * * * [progress]: adding candidates to table 0.293 * * [progress]: iteration 2 / 4 0.293 * * * [progress]: picking best candidate 0.309 * * * * [pick]: Picked # 0.309 * * * [progress]: localizing error 0.318 * * * [progress]: generating rewritten candidates 0.318 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.319 * * * * [progress]: [ 2 / 3 ] rewriting at (2 3 2) 0.327 * * * * [progress]: [ 3 / 3 ] rewriting at (2 3) 0.330 * * * [progress]: generating series expansions 0.330 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.331 * [approximate]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.332 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.332 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1/720 in x 0.332 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of 1/24 in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.332 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.332 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1/720 in x 0.332 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of 1/24 in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.339 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.339 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.339 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.339 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.339 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1/720 in x 0.340 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.340 * [taylor]: Taking taylor expansion of 1/2 in x 0.340 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.340 * [taylor]: Taking taylor expansion of 1/24 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.340 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.341 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.341 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1/720 in x 0.341 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.341 * [taylor]: Taking taylor expansion of 1/2 in x 0.341 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.341 * [taylor]: Taking taylor expansion of 1/24 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.356 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.356 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.356 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.356 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.356 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.356 * [taylor]: Taking taylor expansion of -1 in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1/720 in x 0.356 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.356 * [taylor]: Taking taylor expansion of 1/2 in x 0.356 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.356 * [taylor]: Taking taylor expansion of 1/24 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.357 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.357 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.357 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.357 * [taylor]: Taking taylor expansion of -1 in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of 1/720 in x 0.357 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.357 * [taylor]: Taking taylor expansion of 1/2 in x 0.357 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.357 * [taylor]: Taking taylor expansion of 1/24 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.372 * * * * [progress]: [ 2 / 3 ] generating series at (2 3 2) 0.372 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of 1/24 in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of 1/24 in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.380 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of 1/24 in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of 1/24 in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.388 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.388 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of 1/24 in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of 1/24 in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.396 * * * * [progress]: [ 3 / 3 ] generating series at (2 3) 0.396 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in (x) around 0 0.396 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.396 * [taylor]: Taking taylor expansion of 1/2 in x 0.396 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of 1/24 in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.396 * [taylor]: Taking taylor expansion of 1/2 in x 0.396 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of 1/24 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 (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.410 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.410 * [taylor]: Taking taylor expansion of 1/2 in x 0.410 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.410 * [taylor]: Taking taylor expansion of 1/24 in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.411 * [taylor]: Taking taylor expansion of 1/2 in x 0.411 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.411 * [taylor]: Taking taylor expansion of 1/24 in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.430 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.430 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.430 * [taylor]: Taking taylor expansion of 1/2 in x 0.430 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.430 * [taylor]: Taking taylor expansion of 1/24 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.431 * [taylor]: Taking taylor expansion of 1/2 in x 0.431 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.431 * [taylor]: Taking taylor expansion of 1/24 in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.450 * * * [progress]: simplifying candidates 0.451 * [simplify]: Simplifying using # : (expm1 (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (log1p (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (pow x 4) 1/720) (log (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (exp (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (* (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (expm1 (* 1/24 (pow x 2))) (log1p (* 1/24 (pow x 2))) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (log (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 (pow (sqrt x) 2)) (* 1/24 (pow 1 2)) (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (sqrt (pow x 2))) (* 1/24 1) (* 1/24 (pow x (/ 2 2))) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (pow x 2) 1/24))) (fma (- (pow x 2)) 1/24 (* (pow x 2) 1/24)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (pow x 2) 1/24))) (fma (- (pow x 2)) 1/24 (* (pow x 2) 1/24)) (fma 1 1/2 (- (* (pow x 2) 1/24))) (fma (- (pow x 2)) 1/24 (* (pow x 2) 1/24)) (expm1 (- 1/2 (* 1/24 (pow x 2)))) (log1p (- 1/2 (* 1/24 (pow x 2)))) (- (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (/ (exp 1/2) (exp (* 1/24 (pow x 2)))) (log (- 1/2 (* 1/24 (pow x 2)))) (exp (- 1/2 (* 1/24 (pow x 2)))) (* (cbrt (- 1/2 (* 1/24 (pow x 2)))) (cbrt (- 1/2 (* 1/24 (pow x 2))))) (cbrt (- 1/2 (* 1/24 (pow x 2)))) (* (* (- 1/2 (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2)))) (- 1/2 (* 1/24 (pow x 2)))) (sqrt (- 1/2 (* 1/24 (pow x 2)))) (sqrt (- 1/2 (* 1/24 (pow x 2)))) (- (pow 1/2 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* 1/2 1/2) (+ (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/2 (* 1/24 (pow x 2))))) (- (* 1/24 (pow x 2))) (- (* 1/2 1/2) (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (- 1/2 (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) 0.455 * * [simplify]: iteration 0 : 209 enodes (cost 318 ) 0.460 * * [simplify]: iteration 1 : 817 enodes (cost 281 ) 0.479 * * [simplify]: iteration 2 : 4271 enodes (cost 278 ) 0.632 * * [simplify]: iteration 3 : 5001 enodes (cost 273 ) 0.634 * [simplify]: Simplified to: (expm1 (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (log1p (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (pow x 4) 1/720) (log (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (exp (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (pow (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) 3) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (expm1 (* 1/24 (pow x 2))) (log1p (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* x 1/24) 1/24 (* x 1/24) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* x 1/24) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (fma x (* (- 1/24) x) (pow (cbrt 1/2) 3)) (* (pow x 2) (+ (- 1/24) 1/24)) (- 1/2 (* 1/24 (pow x 2))) (* (pow x 2) (+ (- 1/24) 1/24)) (- 1/2 (* 1/24 (pow x 2))) (* (pow x 2) (+ (- 1/24) 1/24)) (expm1 (- 1/2 (* 1/24 (pow x 2)))) (log1p (- 1/2 (* 1/24 (pow x 2)))) (- (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (- (* 1/24 (pow x 2))) (exp (- 1/2 (* 1/24 (pow x 2)))) (log (- 1/2 (* 1/24 (pow x 2)))) (exp (- 1/2 (* 1/24 (pow x 2)))) (* (cbrt (- 1/2 (* 1/24 (pow x 2)))) (cbrt (- 1/2 (* 1/24 (pow x 2))))) (cbrt (- 1/2 (* 1/24 (pow x 2)))) (pow (- 1/2 (* 1/24 (pow x 2))) 3) (sqrt (- 1/2 (* 1/24 (pow x 2)))) (sqrt (- 1/2 (* 1/24 (pow x 2)))) (fma (- (pow x 6)) 1/13824 1/8) (fma (fma (pow x 2) 1/576 1/48) (pow x 2) 1/4) (- (* 1/24 (pow x 2))) (fma (- 1/576) (pow x 4) 1/4) (fma (pow x 2) 1/24 1/2) (- (* 1/24 (pow x 2))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (- 1/2 (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) 0.634 * * * [progress]: adding candidates to table 0.776 * * [progress]: iteration 3 / 4 0.776 * * * [progress]: picking best candidate 0.790 * * * * [pick]: Picked # 0.790 * * * [progress]: localizing error 0.796 * * * [progress]: generating rewritten candidates 0.796 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.799 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.808 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.828 * * * [progress]: generating series expansions 0.828 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.828 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.828 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.828 * [taylor]: Taking taylor expansion of 1.0 in x 0.828 * [taylor]: Taking taylor expansion of (cos x) in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.829 * [taylor]: Taking taylor expansion of 1.0 in x 0.829 * [taylor]: Taking taylor expansion of (cos x) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.839 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.839 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.839 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.839 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.842 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.843 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.843 * [taylor]: Taking taylor expansion of -1 in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.843 * [taylor]: Taking taylor expansion of -1 in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.846 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.846 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.846 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.846 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.846 * [taylor]: Taking taylor expansion of 1.0 in x 0.846 * [taylor]: Taking taylor expansion of (cos x) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.849 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (cos x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.861 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.861 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.861 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.862 * [taylor]: Taking taylor expansion of 1.0 in x 0.862 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.872 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.872 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.872 * [taylor]: Taking taylor expansion of -1 in x 0.872 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.872 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.872 * [taylor]: Taking taylor expansion of -1 in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.873 * [taylor]: Taking taylor expansion of -1 in x 0.873 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.873 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.873 * [taylor]: Taking taylor expansion of 1.0 in x 0.873 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.873 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.873 * [taylor]: Taking taylor expansion of -1 in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.888 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.888 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.888 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.888 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of (cos x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.891 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.891 * [taylor]: Taking taylor expansion of 1.0 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 (pow x 2) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.908 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.908 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.921 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.921 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.921 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.921 * [taylor]: Taking taylor expansion of -1 in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.921 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.921 * [taylor]: Taking taylor expansion of -1 in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.931 * * * [progress]: simplifying candidates 0.934 * [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)) (* 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(- 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)) 0.942 * * [simplify]: iteration 0 : 592 enodes (cost 1453 ) 0.951 * * [simplify]: iteration 1 : 2212 enodes (cost 1292 ) 0.983 * * [simplify]: iteration 2 : 5001 enodes (cost 1283 ) 0.989 * [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)) 0.990 * * * [progress]: adding candidates to table 1.255 * * [progress]: iteration 4 / 4 1.255 * * * [progress]: picking best candidate 1.269 * * * * [pick]: Picked # 1.269 * * * [progress]: localizing error 1.278 * * * [progress]: generating rewritten candidates 1.278 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.286 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.289 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.317 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.356 * * * [progress]: generating series expansions 1.356 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.356 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.356 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [taylor]: Taking taylor expansion of (cos x) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (cos x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.370 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.370 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.371 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.371 * [taylor]: Taking taylor expansion of 1.0 in x 1.371 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.374 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.374 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.374 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.374 * [taylor]: Taking taylor expansion of -1 in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.374 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.375 * [taylor]: Taking taylor expansion of -1 in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.378 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.378 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.378 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.378 * [taylor]: Taking taylor expansion of 1.0 in x 1.378 * [taylor]: Taking taylor expansion of (cos x) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.378 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.378 * [taylor]: Taking taylor expansion of 1.0 in x 1.378 * [taylor]: Taking taylor expansion of (cos x) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.388 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.388 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.391 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.391 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.391 * [taylor]: Taking taylor expansion of -1 in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.392 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.392 * [taylor]: Taking taylor expansion of 1.0 in x 1.392 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.392 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.392 * [taylor]: Taking taylor expansion of -1 in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.395 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.395 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 1.395 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.395 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.395 * [taylor]: Taking taylor expansion of 1.0 in x 1.395 * [taylor]: Taking taylor expansion of (cos x) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.398 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.398 * [taylor]: Taking taylor expansion of 1.0 in x 1.398 * [taylor]: Taking taylor expansion of (cos x) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.410 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.410 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.410 * [taylor]: Taking taylor expansion of 1.0 in x 1.410 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.411 * [taylor]: Taking taylor expansion of 1.0 in x 1.411 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.421 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 1.421 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.421 * [taylor]: Taking taylor expansion of -1 in x 1.421 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.421 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.421 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.422 * [taylor]: Taking taylor expansion of -1 in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.422 * [taylor]: Taking taylor expansion of -1 in x 1.422 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.422 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.422 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.422 * [taylor]: Taking taylor expansion of -1 in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.436 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.437 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.437 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.437 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of (cos x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.439 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of (cos x) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.458 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.458 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.458 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.458 * [taylor]: Taking taylor expansion of 1.0 in x 1.458 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.459 * [taylor]: Taking taylor expansion of 1.0 in x 1.459 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.472 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.472 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.472 * [taylor]: Taking taylor expansion of 1.0 in x 1.472 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.472 * [taylor]: Taking taylor expansion of -1 in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.472 * [taylor]: Taking taylor expansion of 1.0 in x 1.472 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.472 * [taylor]: Taking taylor expansion of -1 in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.482 * * * [progress]: simplifying candidates 1.486 * [simplify]: Simplifying using # : (expm1 (log (exp (- 1.0 (cos x))))) (log1p (log (exp (- 1.0 (cos x))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))))) (log (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))))) (log (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))))) (log (exp (fma (- (cos x)) 1 (* (cos x) 1)))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))))) (log (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))))) (log (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))))) (log 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x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* x (sqrt 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))) (* x (sqrt x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (pow x 2)) (* (/ 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)) (* (cbrt x) (sqrt x))) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) 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)) (/ (- 1.0 (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) (/ (pow x 2) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) x)) (/ (- 1.0 (cos x)) (* x (sqrt x))) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (log (exp (- 1.0 (cos x)))) x))) (/ x (sqrt (/ (log (exp (- 1.0 (cos x)))) x))) (/ (* x (cbrt x)) (- 1.0 (cos x))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ (pow x 2) (- 1.0 (cos x))) (/ (* x (cbrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (* x (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (pow x 2) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (* x (cbrt x)) (sqrt (- 1.0 (cos x)))) (/ (* x (sqrt x)) (sqrt (- 1.0 (cos x)))) (/ (pow x 2) (sqrt (- 1.0 (cos x)))) (* x (cbrt x)) (* x (sqrt x)) (* x x) (/ (* x (cbrt x)) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (* x (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (pow x 2) (+ (sqrt 1.0) (sqrt (cos x)))) (* x (cbrt x)) (* x (sqrt x)) (* x x) (/ (* x (cbrt x)) (cbrt (- 1.0 (cos x)))) (/ (* x (sqrt x)) (cbrt (- 1.0 (cos x)))) (/ (pow x 2) (cbrt (- 1.0 (cos x)))) (/ (* x (cbrt x)) (sqrt (- 1.0 (cos x)))) (/ (* x (sqrt x)) (sqrt (- 1.0 (cos x)))) (/ (pow x 2) (sqrt (- 1.0 (cos x)))) (/ (* x (cbrt x)) (- 1.0 (cos x))) (/ (* x (sqrt x)) (- 1.0 (cos x))) (/ (pow x 2) (- 1.0 (cos x))) (/ (pow x 2) (- 1.0 (cos x))) (* x 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)) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma x 1/2 (- (* 1/720 (pow x 5)) (* 1/24 (pow x 3)))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 1.553 * * * [progress]: adding candidates to table 1.966 * [progress]: [Phase 3 of 3] Extracting. 1.966 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.968 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.968 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 2.018 * * * [regime]: Found split indices: #