13.118 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.055 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.057 * * [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 ) 0.061 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.062 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.062 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.063 * * [progress]: iteration 1 / 4 0.063 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.079 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.085 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.085 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (cos x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 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 0.103 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.103 * [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 0.103 * [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 0.116 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.116 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.116 * [taylor]: Taking taylor expansion of -1 in x 0.116 * [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 0.116 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.116 * [taylor]: Taking taylor expansion of -1 in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.133 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.133 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (cos x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (cos x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.143 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.146 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.147 * [taylor]: Taking taylor expansion of -1 in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.147 * [taylor]: Taking taylor expansion of -1 in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.150 * * * [progress]: simplifying candidates 0.151 * [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)) 0.155 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.160 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.180 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.182 * [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)) 0.182 * * * [progress]: adding candidates to table 0.299 * * [progress]: iteration 2 / 4 0.299 * * * [progress]: picking best candidate 0.313 * * * * [pick]: Picked # 0.313 * * * [progress]: localizing error 0.322 * * * [progress]: generating rewritten candidates 0.322 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.323 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 2) 0.329 * * * [progress]: generating series expansions 0.329 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.330 * [approximate]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.330 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.330 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 1/720 in x 0.330 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.330 * [taylor]: Taking taylor expansion of 1/2 in x 0.330 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of 1/24 in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.330 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.330 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 1/720 in x 0.330 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.330 * [taylor]: Taking taylor expansion of 1/2 in x 0.330 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of 1/24 in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.341 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.341 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.341 * [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 0.342 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.342 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.342 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.342 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1/720 in x 0.342 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.342 * [taylor]: Taking taylor expansion of 1/2 in x 0.342 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.342 * [taylor]: Taking taylor expansion of 1/24 in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.357 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.357 * [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 0.358 * [taylor]: Taking taylor expansion of -1 in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of 1/720 in x 0.358 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.358 * [taylor]: Taking taylor expansion of 1/2 in x 0.358 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.358 * [taylor]: Taking taylor expansion of 1/24 in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.359 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.359 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.359 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of 1/720 in x 0.359 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.359 * [taylor]: Taking taylor expansion of 1/2 in x 0.359 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.359 * [taylor]: Taking taylor expansion of 1/24 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.374 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 2) 0.374 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of 1/24 in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of 1/24 in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.382 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.382 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.382 * [taylor]: Taking taylor expansion of 1/24 in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of 1/24 in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.390 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of 1/24 in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.391 * [taylor]: Taking taylor expansion of 1/24 in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.398 * * * [progress]: simplifying candidates 0.399 * [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)) (- (+ (* 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)) 0.402 * * [simplify]: iteration 0 : 139 enodes (cost 203 ) 0.406 * * [simplify]: iteration 1 : 565 enodes (cost 171 ) 0.417 * * [simplify]: iteration 2 : 2616 enodes (cost 171 ) 0.498 * * [simplify]: iteration 3 : 5001 enodes (cost 170 ) 0.499 * [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))) (pow (* 1/24 (pow x 2)) 3) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (pow (* 1/24 (pow x 2)) 3) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (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) x) (* (sqrt 1/24) x) (* (/ (pow (cbrt x) 4) 1) 1/24) (* 1/24 x) 1/24 (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* 1/24 x) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 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)) 0.499 * * * [progress]: adding candidates to table 0.598 * * [progress]: iteration 3 / 4 0.598 * * * [progress]: picking best candidate 0.610 * * * * [pick]: Picked # 0.610 * * * [progress]: localizing error 0.620 * * * [progress]: generating rewritten candidates 0.621 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.625 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.629 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.634 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.642 * * * [progress]: generating series expansions 0.642 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.642 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.642 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (cos x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (cos x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.653 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.657 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.657 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.657 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.657 * [taylor]: Taking taylor expansion of -1 in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.657 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.657 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.657 * [taylor]: Taking taylor expansion of -1 in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.660 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.660 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.660 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (cos x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (cos x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.671 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.671 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.671 * [taylor]: Taking taylor expansion of 1.0 in x 0.671 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.671 * [taylor]: Taking taylor expansion of 1.0 in x 0.671 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.674 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.674 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.674 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.674 * [taylor]: Taking taylor expansion of -1 in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.675 * [taylor]: Taking taylor expansion of 1.0 in x 0.675 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.675 * [taylor]: Taking taylor expansion of -1 in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.678 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.678 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.678 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.678 * [taylor]: Taking taylor expansion of 1.0 in x 0.678 * [taylor]: Taking taylor expansion of (cos x) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.678 * [taylor]: Taking taylor expansion of 1.0 in x 0.678 * [taylor]: Taking taylor expansion of (cos x) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.688 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.688 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.689 * [taylor]: Taking taylor expansion of 1.0 in x 0.689 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.692 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.692 * [taylor]: Taking taylor expansion of -1 in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.692 * [taylor]: Taking taylor expansion of -1 in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.696 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.696 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in (x) around 0 0.696 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 0.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 0.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 0.696 * [taylor]: Taking taylor expansion of 1/3 in x 0.696 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (cos x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 1/3) in x 0.700 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos x))))) in x 0.700 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos x)))) in x 0.700 * [taylor]: Taking taylor expansion of 1/3 in x 0.700 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 0.700 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [taylor]: Taking taylor expansion of (cos x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.742 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in (x) around 0 0.742 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 0.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 0.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 0.742 * [taylor]: Taking taylor expansion of 1/3 in x 0.742 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.742 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.742 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 1/3) in x 0.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ 1 x)))))) in x 0.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ 1 x))))) in x 0.743 * [taylor]: Taking taylor expansion of 1/3 in x 0.743 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 0.743 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.778 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in (x) around 0 0.778 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 0.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 0.778 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 0.778 * [taylor]: Taking taylor expansion of 1/3 in x 0.778 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.778 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.779 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.779 * [taylor]: Taking taylor expansion of -1 in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 1/3) in x 0.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (cos (/ -1 x)))))) in x 0.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (cos (/ -1 x))))) in x 0.779 * [taylor]: Taking taylor expansion of 1/3 in x 0.779 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 0.779 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.779 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.779 * [taylor]: Taking taylor expansion of -1 in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.820 * * * [progress]: simplifying candidates 0.821 * [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)) (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)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (cbrt (- 1.0 (cos x)))) (log1p (cbrt (- 1.0 (cos x)))) (log (cbrt (- 1.0 (cos x)))) (exp (cbrt (- 1.0 (cos x)))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt 1) (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt 1) (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (+ 1.0 (cos x))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (* (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (* 1/6480 (* (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 4)))) (* 1/36 (* (exp (* 1/3 (+ (* 2 (log x)) (log 1/2)))) (pow x 2)))) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 1/3) 0.826 * * [simplify]: iteration 0 : 208 enodes (cost 863 ) 0.830 * * [simplify]: iteration 1 : 622 enodes (cost 569 ) 0.843 * * [simplify]: iteration 2 : 2937 enodes (cost 535 ) 0.913 * * [simplify]: iteration 3 : 5002 enodes (cost 482 ) 0.916 * [simplify]: Simplified to: (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (pow (- 1.0 (cos x)) 1/3) (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)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (pow (- 1.0 (cos x)) 1/3) (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)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 2/3) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (cbrt (- 1.0 (cos x)))) (log1p (cbrt (- 1.0 (cos x)))) (log (cbrt (- 1.0 (cos x)))) (exp (cbrt (- 1.0 (cos x)))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x)))) 1 (pow (- 1.0 (cos x)) 1/3) (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x)))) 1 (pow (- 1.0 (cos x)) 1/3) (cbrt (- (pow 1.0 3) (pow (cos x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (+ 1.0 (cos x))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (cbrt (cbrt (- 1.0 (cos x)))) (- 1.0 (cos x)) (sqrt (cbrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x)))) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow 1/2 1/3) (pow x 2/3) (* (* (pow 1/2 1/3) (pow x 2/3)) (- (* (pow x 4) 1/6480) (* (pow x 2) 1/36)))) (pow (- 1.0 (cos x)) 1/3) (pow (- 1.0 (cos x)) 1/3) 0.917 * * * [progress]: adding candidates to table 1.144 * * [progress]: iteration 4 / 4 1.144 * * * [progress]: picking best candidate 1.156 * * * * [pick]: Picked # 1.156 * * * [progress]: localizing error 1.181 * * * [progress]: generating rewritten candidates 1.181 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 1.185 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.189 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.205 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) 1.226 * * * [progress]: generating series expansions 1.226 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 1.226 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.226 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (cos x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (cos x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.237 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.237 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.241 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.241 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.241 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.241 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.241 * [taylor]: Taking taylor expansion of -1 in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.241 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.241 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.241 * [taylor]: Taking taylor expansion of -1 in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.244 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.244 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.244 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.244 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of (cos x) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of (cos x) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.254 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.254 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.258 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.258 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.258 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.258 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.258 * [taylor]: Taking taylor expansion of -1 in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.259 * [taylor]: Taking taylor expansion of 1.0 in x 1.259 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.259 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.259 * [taylor]: Taking taylor expansion of -1 in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.262 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.262 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 1.262 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.262 * [taylor]: Taking taylor expansion of (cos x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 1.262 * [taylor]: Taking taylor expansion of (cos x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.283 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 1.283 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.283 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.283 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 1.283 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.301 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 1.301 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.301 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.301 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.301 * [taylor]: Taking taylor expansion of -1 in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 1.302 * [taylor]: Taking taylor expansion of 1.0 in x 1.302 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 1.302 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.302 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.302 * [taylor]: Taking taylor expansion of -1 in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2) 1.314 * [approximate]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in (x) around 0 1.314 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.314 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.314 * [taylor]: Taking taylor expansion of (cos x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of (cos x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (+ (pow (cos x) 2) (* 1.0 (cos x))) in x 1.314 * [taylor]: Taking taylor expansion of (pow (cos x) 2) in x 1.314 * [taylor]: Taking taylor expansion of (cos x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (* 1.0 (cos x)) in x 1.314 * [taylor]: Taking taylor expansion of 1.0 in x 1.314 * [taylor]: Taking taylor expansion of (cos x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.329 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.329 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.329 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ 1 x))) (pow (cos (/ 1 x)) 2)) in x 1.330 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ 1 x))) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in x 1.330 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.342 * [approximate]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in (x) around 0 1.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.342 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.342 * [taylor]: Taking taylor expansion of -1 in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.342 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.342 * [taylor]: Taking taylor expansion of -1 in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos (/ -1 x))) (pow (cos (/ -1 x)) 2)) in x 1.343 * [taylor]: Taking taylor expansion of (* 1.0 (cos (/ -1 x))) in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.343 * [taylor]: Taking taylor expansion of -1 in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in x 1.343 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.343 * [taylor]: Taking taylor expansion of -1 in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.354 * * * [progress]: simplifying candidates 1.359 * [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)) (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)) (fma (pow (* (cbrt 1.0) (cbrt 1.0)) 3) (pow (cbrt 1.0) 3) (- (* (pow (cbrt (cos x)) 3) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3)))) (fma (- (pow (cbrt (cos x)) 3)) (pow (* (cbrt (cos x)) (cbrt (cos x))) 3) (* (pow (cbrt (cos x)) 3) (pow (* (cbrt 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0.375 (- 2.0 (* 1.5 (pow x 2)))) (* (cos x) (+ (cos x) 1.0)) (* (cos x) (+ (cos x) 1.0)) 1.496 * * * [progress]: adding candidates to table 1.974 * [progress]: [Phase 3 of 3] Extracting. 1.974 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 1.977 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.977 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 2.030 * * * [regime]: Found split indices: #