15.457 * [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)) 0.056 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.057 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.059 * * [simplify]: iteration 2 : 21 enodes (cost 8 ) 0.061 * * [simplify]: iteration 3 : 26 enodes (cost 8 ) 0.064 * * [simplify]: iteration 4 : 29 enodes (cost 8 ) 0.068 * * [simplify]: iteration done : 29 enodes (cost 8 ) 0.068 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.075 * * * [progress]: generating rewritten candidates 0.075 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.085 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.094 * * * [progress]: generating series expansions 0.094 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.094 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.094 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (cos x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (cos x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.113 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.113 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.126 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.126 * [taylor]: Taking taylor expansion of -1 in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.126 * [taylor]: Taking taylor expansion of -1 in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.136 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.136 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (cos x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (cos x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.146 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [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 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 x in x 0.150 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.151 * [taylor]: Taking taylor expansion of -1 in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.154 * * * [progress]: simplifying candidates 0.155 * [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 : 116 enodes (cost 808 ) 0.181 * * [simplify]: iteration 1 : 285 enodes (cost 686 ) 0.248 * * [simplify]: iteration 2 : 966 enodes (cost 566 ) 0.605 * * [simplify]: iteration done : 5000 enodes (cost 527 ) 0.606 * [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)) (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))) (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) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (fma 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)) (fma 1/2 (pow x 2) (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.606 * * * [progress]: adding candidates to table 0.716 * * [progress]: iteration 2 / 4 0.716 * * * [progress]: picking best candidate 0.728 * * * * [pick]: Picked # 0.728 * * * [progress]: localizing error 0.740 * * * [progress]: generating rewritten candidates 0.741 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.743 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.749 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.750 * * * [progress]: generating series expansions 0.750 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.751 * [approximate]: Taking taylor expansion of (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.751 * [taylor]: Taking taylor expansion of (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2))) in x 0.751 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 0.752 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 0.752 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.752 * [taylor]: Taking taylor expansion of 1/720 in x 0.752 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of 1/2 in x 0.752 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.752 * [taylor]: Taking taylor expansion of 1/24 in x 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2))) in x 0.752 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 0.752 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 0.752 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.752 * [taylor]: Taking taylor expansion of 1/720 in x 0.752 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of 1/2 in x 0.752 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.752 * [taylor]: Taking taylor expansion of 1/24 in x 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.759 * [approximate]: Taking taylor expansion of (- (fma 1/720 (pow (/ 1 x) 4) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.759 * [taylor]: Taking taylor expansion of (- (fma 1/720 (pow (/ 1 x) 4) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.759 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 0.759 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 0.759 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 0.759 * [taylor]: Taking taylor expansion of 1/720 in x 0.759 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of 1/2 in x 0.760 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.760 * [taylor]: Taking taylor expansion of 1/24 in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (- (fma 1/720 (pow (/ 1 x) 4) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.760 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 0.760 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 0.760 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 0.760 * [taylor]: Taking taylor expansion of 1/720 in x 0.760 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of 1/2 in x 0.761 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.761 * [taylor]: Taking taylor expansion of 1/24 in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.776 * [approximate]: Taking taylor expansion of (- (fma 1/720 (pow (/ -1 x) 4) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.776 * [taylor]: Taking taylor expansion of (- (fma 1/720 (pow (/ -1 x) 4) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.776 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 0.776 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 0.776 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 0.776 * [taylor]: Taking taylor expansion of 1/720 in x 0.776 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.776 * [taylor]: Taking taylor expansion of -1 in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of 1/2 in x 0.777 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.777 * [taylor]: Taking taylor expansion of 1/24 in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (- (fma 1/720 (pow (/ -1 x) 4) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.777 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 0.777 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 0.777 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 0.777 * [taylor]: Taking taylor expansion of 1/720 in x 0.778 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.778 * [taylor]: Taking taylor expansion of -1 in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of 1/2 in x 0.778 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.778 * [taylor]: Taking taylor expansion of 1/24 in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.793 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.794 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.794 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.794 * [taylor]: Taking taylor expansion of 1/24 in x 0.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.794 * [taylor]: Taking taylor expansion of 1/24 in x 0.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.801 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.802 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.802 * [taylor]: Taking taylor expansion of 1/24 in x 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.802 * [taylor]: Taking taylor expansion of 1/24 in x 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.809 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.809 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.809 * [taylor]: Taking taylor expansion of 1/24 in x 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.810 * [taylor]: Taking taylor expansion of 1/24 in x 0.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.820 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.821 * [approximate]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in (x) around 0 0.821 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 0.821 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 0.821 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.821 * [taylor]: Taking taylor expansion of 1/720 in x 0.821 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of 1/2 in x 0.821 * [taylor]: Taking taylor expansion of (fma 1/720 (pow x 4) 1/2) in x 0.821 * [taylor]: Rewrote expression to (+ (* 1/720 (pow x 4)) 1/2) 0.821 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.821 * [taylor]: Taking taylor expansion of 1/720 in x 0.821 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of 1/2 in x 0.835 * [approximate]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in (x) around 0 0.835 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 0.835 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 0.835 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 0.835 * [taylor]: Taking taylor expansion of 1/720 in x 0.835 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of 1/2 in x 0.836 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ 1 x) 4) 1/2) in x 0.836 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ 1 x) 4)) 1/2) 0.836 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ 1 x) 4)) in x 0.836 * [taylor]: Taking taylor expansion of 1/720 in x 0.836 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of 1/2 in x 0.866 * [approximate]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in (x) around 0 0.867 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 0.867 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 0.867 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 0.867 * [taylor]: Taking taylor expansion of 1/720 in x 0.867 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.867 * [taylor]: Taking taylor expansion of -1 in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of 1/2 in x 0.867 * [taylor]: Taking taylor expansion of (fma 1/720 (pow (/ -1 x) 4) 1/2) in x 0.867 * [taylor]: Rewrote expression to (+ (* 1/720 (pow (/ -1 x) 4)) 1/2) 0.867 * [taylor]: Taking taylor expansion of (* 1/720 (pow (/ -1 x) 4)) in x 0.867 * [taylor]: Taking taylor expansion of 1/720 in x 0.867 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.867 * [taylor]: Taking taylor expansion of -1 in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of 1/2 in x 0.900 * * * [progress]: simplifying candidates 0.901 * [simplify]: Simplifying using # : (fma (* (cbrt (fma 1/720 (pow x 4) 1/2)) (cbrt (fma 1/720 (pow x 4) 1/2))) (cbrt (fma 1/720 (pow x 4) 1/2)) (- (* (pow x 2) 1/24))) (fma (- (pow x 2)) 1/24 (* (pow x 2) 1/24)) (fma (sqrt (fma 1/720 (pow x 4) 1/2)) (sqrt (fma 1/720 (pow x 4) 1/2)) (- (* (pow x 2) 1/24))) (fma (- (pow x 2)) 1/24 (* (pow x 2) 1/24)) (fma 1 (fma 1/720 (pow x 4) 1/2) (- (* (pow x 2) 1/24))) (fma (- (pow x 2)) 1/24 (* (pow x 2) 1/24)) (expm1 (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2)))) (log1p (- (fma 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))) (/ (exp (fma 1/720 (pow x 4) 1/2)) (exp (* 1/24 (pow x 2)))) (log (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2)))) (exp (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2)))) (* (* (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2))) (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2)))) (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2)))) (- (pow (fma 1/720 (pow x 4) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2)) (+ (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2))))) (- (* 1/24 (pow x 2))) (- (* (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2)) (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2)))) (+ (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 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)) (expm1 (fma 1/720 (pow x 4) 1/2)) (log1p (fma 1/720 (pow x 4) 1/2)) (* 1/720 (pow x 4)) (log (fma 1/720 (pow x 4) 1/2)) (exp (fma 1/720 (pow x 4) 1/2)) (* (cbrt (fma 1/720 (pow x 4) 1/2)) (cbrt (fma 1/720 (pow x 4) 1/2))) (cbrt (fma 1/720 (pow x 4) 1/2)) (* (* (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2)) (fma 1/720 (pow x 4) 1/2)) (sqrt (fma 1/720 (pow x 4) 1/2)) (sqrt (fma 1/720 (pow x 4) 1/2)) (- (+ (* 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)) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2) 0.904 * * [simplify]: iteration 0 : 99 enodes (cost 788 ) 0.925 * * [simplify]: iteration 1 : 208 enodes (cost 717 ) 0.986 * * [simplify]: iteration 2 : 806 enodes (cost 638 ) 1.410 * * [simplify]: iteration 3 : 4380 enodes (cost 593 ) 4.566 * * [simplify]: iteration done : 5000 enodes (cost 593 ) 4.566 * [simplify]: Simplified to: (fma (* x x) -1/24 (pow (cbrt (fma 1/720 (pow x 4) 1/2)) 3)) (* (pow x 2) 0) (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2)) (* (pow x 2) 0) (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2)) (* (pow x 2) 0) (expm1 (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2))) (log1p (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2))) (* (pow x 2) -1/24) (* (pow x 2) -1/24) (* (pow x 2) -1/24) (exp (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2))) (log (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2))) (exp (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2))) (* (cbrt (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2))) (cbrt (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2)))) (cbrt (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2))) (pow (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2)) 3) (sqrt (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2))) (sqrt (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2))) (fma -1/13824 (pow x 6) (pow (fma 1/720 (pow x 4) 1/2) 3)) (fma 1/576 (pow x 4) (* (fma 1/720 (pow x 4) 1/2) (fma (pow x 2) 1/24 (fma 1/720 (pow x 4) 1/2)))) (* (pow x 2) -1/24) (fma (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2) (* -1/576 (pow x 4))) (fma (* x x) 1/24 (fma 1/720 (pow x 4) 1/2)) (fma (* x -1/24) x 1/2) (* (pow x 2) -1/24) (expm1 (* 1/24 (pow x 2))) (log1p (* 1/24 (pow x 2))) (log (* (pow x 2) 1/24)) (log (* (pow x 2) 1/24)) (log (* (pow x 2) 1/24)) (log (* (pow x 2) 1/24)) (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))) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (fabs x) (sqrt 1/24)) (* (fabs x) (sqrt 1/24)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 x) 1/24 (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* (fabs x) 1/24) 1/24 (* 1/24 x) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* (pow x 2) 1/24) (expm1 (fma 1/720 (pow x 4) 1/2)) (log1p (fma 1/720 (pow x 4) 1/2)) (* 1/720 (pow x 4)) (log (fma 1/720 (pow x 4) 1/2)) (exp (fma 1/720 (pow x 4) 1/2)) (* (cbrt (fma 1/720 (pow x 4) 1/2)) (cbrt (fma 1/720 (pow x 4) 1/2))) (cbrt (fma 1/720 (pow x 4) 1/2)) (pow (fma 1/720 (pow x 4) 1/2) 3) (sqrt (fma 1/720 (pow x 4) 1/2)) (sqrt (fma 1/720 (pow x 4) 1/2)) (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2)) (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2)) (fma (* x -1/24) x (fma 1/720 (pow x 4) 1/2)) (* (pow x 2) 1/24) (* (pow x 2) 1/24) (* (pow x 2) 1/24) (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2) (fma 1/720 (pow x 4) 1/2) 4.567 * * * [progress]: adding candidates to table 4.718 * * [progress]: iteration 3 / 4 4.718 * * * [progress]: picking best candidate 4.729 * * * * [pick]: Picked # 4.729 * * * [progress]: localizing error 4.736 * * * [progress]: generating rewritten candidates 4.736 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 4.739 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.763 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 4.776 * * * [progress]: generating series expansions 4.776 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 4.777 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.777 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.777 * [taylor]: Taking taylor expansion of 1.0 in x 4.777 * [taylor]: Taking taylor expansion of (cos x) in x 4.777 * [taylor]: Taking taylor expansion of x in x 4.777 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.777 * [taylor]: Taking taylor expansion of 1.0 in x 4.777 * [taylor]: Taking taylor expansion of (cos x) in x 4.777 * [taylor]: Taking taylor expansion of x in x 4.787 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.787 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.787 * [taylor]: Taking taylor expansion of 1.0 in x 4.787 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.787 * [taylor]: Taking taylor expansion of x in x 4.788 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.788 * [taylor]: Taking taylor expansion of 1.0 in x 4.788 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.788 * [taylor]: Taking taylor expansion of x in x 4.791 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.791 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.791 * [taylor]: Taking taylor expansion of 1.0 in x 4.791 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.791 * [taylor]: Taking taylor expansion of -1 in x 4.791 * [taylor]: Taking taylor expansion of x in x 4.791 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.792 * [taylor]: Taking taylor expansion of 1.0 in x 4.792 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.792 * [taylor]: Taking taylor expansion of -1 in x 4.792 * [taylor]: Taking taylor expansion of x in x 4.795 * * * * [progress]: [ 2 / 3 ] generating series at (2) 4.795 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 4.795 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 4.795 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.795 * [taylor]: Taking taylor expansion of 1.0 in x 4.795 * [taylor]: Taking taylor expansion of (cos x) in x 4.795 * [taylor]: Taking taylor expansion of x in x 4.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.795 * [taylor]: Taking taylor expansion of x in x 4.798 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 4.798 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.798 * [taylor]: Taking taylor expansion of 1.0 in x 4.798 * [taylor]: Taking taylor expansion of (cos x) in x 4.798 * [taylor]: Taking taylor expansion of x in x 4.798 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.798 * [taylor]: Taking taylor expansion of x in x 4.813 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 4.813 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 4.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.813 * [taylor]: Taking taylor expansion of x in x 4.813 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.813 * [taylor]: Taking taylor expansion of 1.0 in x 4.813 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.813 * [taylor]: Taking taylor expansion of x in x 4.813 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 4.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.813 * [taylor]: Taking taylor expansion of x in x 4.813 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.813 * [taylor]: Taking taylor expansion of 1.0 in x 4.813 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.813 * [taylor]: Taking taylor expansion of x in x 4.829 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 4.829 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 4.829 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.829 * [taylor]: Taking taylor expansion of 1.0 in x 4.829 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.829 * [taylor]: Taking taylor expansion of -1 in x 4.829 * [taylor]: Taking taylor expansion of x in x 4.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.829 * [taylor]: Taking taylor expansion of x in x 4.829 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 4.829 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.829 * [taylor]: Taking taylor expansion of 1.0 in x 4.829 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.829 * [taylor]: Taking taylor expansion of -1 in x 4.829 * [taylor]: Taking taylor expansion of x in x 4.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.830 * [taylor]: Taking taylor expansion of x in x 4.839 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 4.840 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 4.840 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 4.840 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.840 * [taylor]: Taking taylor expansion of 1.0 in x 4.840 * [taylor]: Taking taylor expansion of (cos x) in x 4.840 * [taylor]: Taking taylor expansion of x in x 4.840 * [taylor]: Taking taylor expansion of x in x 4.842 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 4.842 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.842 * [taylor]: Taking taylor expansion of 1.0 in x 4.842 * [taylor]: Taking taylor expansion of (cos x) in x 4.842 * [taylor]: Taking taylor expansion of x in x 4.842 * [taylor]: Taking taylor expansion of x in x 4.854 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 4.855 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 4.855 * [taylor]: Taking taylor expansion of x in x 4.855 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.855 * [taylor]: Taking taylor expansion of 1.0 in x 4.855 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.855 * [taylor]: Taking taylor expansion of x in x 4.855 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 4.855 * [taylor]: Taking taylor expansion of x in x 4.855 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.855 * [taylor]: Taking taylor expansion of 1.0 in x 4.855 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.855 * [taylor]: Taking taylor expansion of x in x 4.866 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 4.866 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 4.866 * [taylor]: Taking taylor expansion of -1 in x 4.866 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 4.866 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.866 * [taylor]: Taking taylor expansion of 1.0 in x 4.866 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.866 * [taylor]: Taking taylor expansion of -1 in x 4.866 * [taylor]: Taking taylor expansion of x in x 4.866 * [taylor]: Taking taylor expansion of x in x 4.866 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 4.866 * [taylor]: Taking taylor expansion of -1 in x 4.866 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 4.866 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.866 * [taylor]: Taking taylor expansion of 1.0 in x 4.866 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.866 * [taylor]: Taking taylor expansion of -1 in x 4.866 * [taylor]: Taking taylor expansion of x in x 4.867 * [taylor]: Taking taylor expansion of x in x 4.881 * * * [progress]: simplifying candidates 4.883 * [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 x) (/ (- 1.0 (cos x)) x))) (log1p (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (- (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos x)) 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))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 4.889 * * [simplify]: iteration 0 : 219 enodes (cost 1855 ) 4.936 * * [simplify]: iteration 1 : 596 enodes (cost 1593 ) 5.099 * * [simplify]: iteration 2 : 2337 enodes (cost 1364 ) 5.931 * * [simplify]: iteration done : 5001 enodes (cost 1364 ) 5.932 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (* (cos x) 0) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (* (cos x) 0) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (/ (- 1.0 (cos x)) x) x)) (log1p (/ (/ (- 1.0 (cos x)) x) x)) (/ (/ (- 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)) (log (/ (/ (- 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)) (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) (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)) (pow x 2) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (* (cbrt x) (cbrt x))) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (/ (sqrt (- 1.0 (cos x))) x) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) 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 (cos x)) (sqrt 1.0)) (/ (- (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))) (* x (fma 1.0 1.0 (* (cos x) (+ 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (fma (pow x 2) 1/2 (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (fma 1/2 x (fma 1/720 (pow x 5) (* (pow x 3) -1/24))) (/ (- 1.0 (cos x)) x) (- (/ (- (cos x) 1.0) x)) 5.932 * * * [progress]: adding candidates to table 6.154 * * [progress]: iteration 4 / 4 6.154 * * * [progress]: picking best candidate 6.168 * * * * [pick]: Picked # 6.168 * * * [progress]: localizing error 6.179 * * * [progress]: generating rewritten candidates 6.179 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 6.182 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 6.183 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.196 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 6.200 * * * [progress]: generating series expansions 6.200 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 6.200 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 6.200 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.200 * [taylor]: Taking taylor expansion of 1.0 in x 6.200 * [taylor]: Taking taylor expansion of (cos x) in x 6.200 * [taylor]: Taking taylor expansion of x in x 6.200 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.200 * [taylor]: Taking taylor expansion of 1.0 in x 6.200 * [taylor]: Taking taylor expansion of (cos x) in x 6.200 * [taylor]: Taking taylor expansion of x in x 6.211 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 6.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.211 * [taylor]: Taking taylor expansion of 1.0 in x 6.211 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.211 * [taylor]: Taking taylor expansion of x in x 6.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.211 * [taylor]: Taking taylor expansion of 1.0 in x 6.211 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.211 * [taylor]: Taking taylor expansion of x in x 6.218 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 6.218 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.218 * [taylor]: Taking taylor expansion of 1.0 in x 6.218 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.218 * [taylor]: Taking taylor expansion of -1 in x 6.218 * [taylor]: Taking taylor expansion of x in x 6.219 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.219 * [taylor]: Taking taylor expansion of 1.0 in x 6.219 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.219 * [taylor]: Taking taylor expansion of -1 in x 6.219 * [taylor]: Taking taylor expansion of x in x 6.222 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 6.222 * [approximate]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in (x) around 0 6.222 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 6.222 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 6.222 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 6.222 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.222 * [taylor]: Taking taylor expansion of 1.0 in x 6.222 * [taylor]: Taking taylor expansion of (cos x) in x 6.222 * [taylor]: Taking taylor expansion of x in x 6.224 * [taylor]: Taking taylor expansion of 1 in x 6.225 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 6.225 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 6.225 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 6.225 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.225 * [taylor]: Taking taylor expansion of 1.0 in x 6.225 * [taylor]: Taking taylor expansion of (cos x) in x 6.225 * [taylor]: Taking taylor expansion of x in x 6.227 * [taylor]: Taking taylor expansion of 1 in x 6.252 * [approximate]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in (x) around 0 6.252 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 6.252 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 6.252 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 6.252 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.252 * [taylor]: Taking taylor expansion of 1.0 in x 6.252 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.252 * [taylor]: Taking taylor expansion of x in x 6.253 * [taylor]: Taking taylor expansion of 1 in x 6.253 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 6.253 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 6.253 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 6.253 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.253 * [taylor]: Taking taylor expansion of 1.0 in x 6.253 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.253 * [taylor]: Taking taylor expansion of x in x 6.253 * [taylor]: Taking taylor expansion of 1 in x 6.267 * [approximate]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in (x) around 0 6.267 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 6.268 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 6.268 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 6.268 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.268 * [taylor]: Taking taylor expansion of 1.0 in x 6.268 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.268 * [taylor]: Taking taylor expansion of -1 in x 6.268 * [taylor]: Taking taylor expansion of x in x 6.268 * [taylor]: Taking taylor expansion of 1 in x 6.268 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 6.268 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 6.268 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 6.268 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.268 * [taylor]: Taking taylor expansion of 1.0 in x 6.268 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.268 * [taylor]: Taking taylor expansion of -1 in x 6.268 * [taylor]: Taking taylor expansion of x in x 6.269 * [taylor]: Taking taylor expansion of 1 in x 6.283 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.283 * [approximate]: Taking taylor expansion of (/ (log1p (expm1 (- 1.0 (cos x)))) (pow x 2)) in (x) around 0 6.283 * [taylor]: Taking taylor expansion of (/ (log1p (expm1 (- 1.0 (cos x)))) (pow x 2)) in x 6.283 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos x)))) in x 6.283 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos x))))) 6.283 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos x)))) in x 6.283 * [taylor]: Taking taylor expansion of 1 in x 6.283 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 6.283 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 6.283 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 6.283 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.283 * [taylor]: Taking taylor expansion of 1.0 in x 6.283 * [taylor]: Taking taylor expansion of (cos x) in x 6.284 * [taylor]: Taking taylor expansion of x in x 6.286 * [taylor]: Taking taylor expansion of 1 in x 6.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.287 * [taylor]: Taking taylor expansion of x in x 6.293 * [taylor]: Taking taylor expansion of (/ (log1p (expm1 (- 1.0 (cos x)))) (pow x 2)) in x 6.293 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos x)))) in x 6.293 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos x))))) 6.293 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos x)))) in x 6.293 * [taylor]: Taking taylor expansion of 1 in x 6.293 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 6.293 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 6.293 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 6.293 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.293 * [taylor]: Taking taylor expansion of 1.0 in x 6.293 * [taylor]: Taking taylor expansion of (cos x) in x 6.293 * [taylor]: Taking taylor expansion of x in x 6.301 * [taylor]: Taking taylor expansion of 1 in x 6.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.302 * [taylor]: Taking taylor expansion of x in x 6.366 * [approximate]: Taking taylor expansion of (* (log1p (expm1 (- 1.0 (cos (/ 1 x))))) (pow x 2)) in (x) around 0 6.366 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (- 1.0 (cos (/ 1 x))))) (pow x 2)) in x 6.366 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ 1 x))))) in x 6.366 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ 1 x)))))) 6.366 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ 1 x))))) in x 6.366 * [taylor]: Taking taylor expansion of 1 in x 6.366 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 6.367 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 6.367 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 6.367 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.367 * [taylor]: Taking taylor expansion of 1.0 in x 6.367 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.367 * [taylor]: Taking taylor expansion of x in x 6.367 * [taylor]: Taking taylor expansion of 1 in x 6.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.368 * [taylor]: Taking taylor expansion of x in x 6.368 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (- 1.0 (cos (/ 1 x))))) (pow x 2)) in x 6.368 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ 1 x))))) in x 6.368 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ 1 x)))))) 6.368 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ 1 x))))) in x 6.368 * [taylor]: Taking taylor expansion of 1 in x 6.368 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 6.368 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 6.368 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 6.368 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.368 * [taylor]: Taking taylor expansion of 1.0 in x 6.368 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.368 * [taylor]: Taking taylor expansion of x in x 6.368 * [taylor]: Taking taylor expansion of 1 in x 6.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.369 * [taylor]: Taking taylor expansion of x in x 6.414 * [approximate]: Taking taylor expansion of (* (pow x 2) (log1p (expm1 (- 1.0 (cos (/ -1 x)))))) in (x) around 0 6.414 * [taylor]: Taking taylor expansion of (* (pow x 2) (log1p (expm1 (- 1.0 (cos (/ -1 x)))))) in x 6.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.414 * [taylor]: Taking taylor expansion of x in x 6.414 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ -1 x))))) in x 6.415 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ -1 x)))))) 6.415 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ -1 x))))) in x 6.415 * [taylor]: Taking taylor expansion of 1 in x 6.415 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 6.415 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 6.415 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 6.415 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.415 * [taylor]: Taking taylor expansion of 1.0 in x 6.415 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.415 * [taylor]: Taking taylor expansion of -1 in x 6.415 * [taylor]: Taking taylor expansion of x in x 6.415 * [taylor]: Taking taylor expansion of 1 in x 6.416 * [taylor]: Taking taylor expansion of (* (pow x 2) (log1p (expm1 (- 1.0 (cos (/ -1 x)))))) in x 6.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.416 * [taylor]: Taking taylor expansion of x in x 6.416 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ -1 x))))) in x 6.416 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ -1 x)))))) 6.416 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ -1 x))))) in x 6.416 * [taylor]: Taking taylor expansion of 1 in x 6.416 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 6.416 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 6.416 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 6.416 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.416 * [taylor]: Taking taylor expansion of 1.0 in x 6.416 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.416 * [taylor]: Taking taylor expansion of -1 in x 6.416 * [taylor]: Taking taylor expansion of x in x 6.417 * [taylor]: Taking taylor expansion of 1 in x 6.465 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.466 * [approximate]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos x)))) in (x) around 0 6.466 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos x)))) in x 6.466 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos x))))) 6.466 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos x)))) in x 6.466 * [taylor]: Taking taylor expansion of 1 in x 6.466 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 6.466 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 6.466 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 6.466 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.466 * [taylor]: Taking taylor expansion of 1.0 in x 6.466 * [taylor]: Taking taylor expansion of (cos x) in x 6.466 * [taylor]: Taking taylor expansion of x in x 6.468 * [taylor]: Taking taylor expansion of 1 in x 6.469 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos x)))) in x 6.469 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos x))))) 6.469 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos x)))) in x 6.469 * [taylor]: Taking taylor expansion of 1 in x 6.469 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 6.469 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 6.469 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 6.469 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 6.469 * [taylor]: Taking taylor expansion of 1.0 in x 6.469 * [taylor]: Taking taylor expansion of (cos x) in x 6.469 * [taylor]: Taking taylor expansion of x in x 6.472 * [taylor]: Taking taylor expansion of 1 in x 6.537 * [approximate]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ 1 x))))) in (x) around 0 6.538 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ 1 x))))) in x 6.538 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ 1 x)))))) 6.538 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ 1 x))))) in x 6.538 * [taylor]: Taking taylor expansion of 1 in x 6.538 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 6.538 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 6.538 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 6.538 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.538 * [taylor]: Taking taylor expansion of 1.0 in x 6.538 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.538 * [taylor]: Taking taylor expansion of x in x 6.538 * [taylor]: Taking taylor expansion of 1 in x 6.539 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ 1 x))))) in x 6.539 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ 1 x)))))) 6.539 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ 1 x))))) in x 6.539 * [taylor]: Taking taylor expansion of 1 in x 6.539 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 6.539 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 6.539 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 6.539 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 6.539 * [taylor]: Taking taylor expansion of 1.0 in x 6.539 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.539 * [taylor]: Taking taylor expansion of x in x 6.540 * [taylor]: Taking taylor expansion of 1 in x 6.574 * [approximate]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ -1 x))))) in (x) around 0 6.574 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ -1 x))))) in x 6.574 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ -1 x)))))) 6.574 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ -1 x))))) in x 6.574 * [taylor]: Taking taylor expansion of 1 in x 6.574 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 6.574 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 6.574 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 6.574 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.574 * [taylor]: Taking taylor expansion of 1.0 in x 6.574 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.574 * [taylor]: Taking taylor expansion of -1 in x 6.574 * [taylor]: Taking taylor expansion of x in x 6.575 * [taylor]: Taking taylor expansion of 1 in x 6.575 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ -1 x))))) in x 6.575 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ -1 x)))))) 6.575 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ -1 x))))) in x 6.575 * [taylor]: Taking taylor expansion of 1 in x 6.575 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 6.576 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 6.576 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 6.576 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 6.576 * [taylor]: Taking taylor expansion of 1.0 in x 6.576 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.576 * [taylor]: Taking taylor expansion of -1 in x 6.576 * [taylor]: Taking taylor expansion of x in x 6.576 * [taylor]: Taking taylor expansion of 1 in x 6.610 * * * [progress]: simplifying candidates 6.617 * [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)) (exp (- 1.0 (cos x))) (expm1 (expm1 (- 1.0 (cos x)))) (log1p (expm1 (- 1.0 (cos x)))) (log (expm1 (- 1.0 (cos x)))) (exp (expm1 (- 1.0 (cos x)))) (* (cbrt (expm1 (- 1.0 (cos x)))) (cbrt (expm1 (- 1.0 (cos x))))) (cbrt (expm1 (- 1.0 (cos x)))) (* (* (expm1 (- 1.0 (cos x))) (expm1 (- 1.0 (cos x)))) (expm1 (- 1.0 (cos x)))) (sqrt (expm1 (- 1.0 (cos x)))) (sqrt (expm1 (- 1.0 (cos x)))) (expm1 (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (log1p (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (+ (- (log x)) (- (log (log1p (expm1 (- 1.0 (cos x))))) (log x))) (+ (- (log x)) (log (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (+ (- 0 (log x)) (- (log (log1p (expm1 (- 1.0 (cos x))))) (log x))) (+ (- 0 (log x)) (log (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (+ (- (log 1) (log x)) (- (log (log1p (expm1 (- 1.0 (cos x))))) (log x))) (+ (- (log 1) (log x)) (log (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (+ (log (/ 1 x)) (- (log (log1p (expm1 (- 1.0 (cos x))))) (log x))) (+ (log (/ 1 x)) (log (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (log (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (exp (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (log1p (expm1 (- 1.0 (cos x)))) (log1p (expm1 (- 1.0 (cos x))))) (log1p (expm1 (- 1.0 (cos x))))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (log1p (expm1 (- 1.0 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(* (/ (sqrt 1) x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 (cbrt x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 (sqrt x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 x) (log1p (expm1 (- 1.0 (cos x))))) (* 1 (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (+ 1 (expm1 (- 1.0 (cos x)))) (expm1 (log1p (expm1 (- 1.0 (cos x))))) (log1p (log1p (expm1 (- 1.0 (cos x))))) (log (log1p (expm1 (- 1.0 (cos x))))) (exp (log1p (expm1 (- 1.0 (cos x))))) (* (cbrt (log1p (expm1 (- 1.0 (cos x))))) (cbrt (log1p (expm1 (- 1.0 (cos x)))))) (cbrt (log1p (expm1 (- 1.0 (cos x))))) (* (* (log1p (expm1 (- 1.0 (cos x)))) (log1p (expm1 (- 1.0 (cos x))))) (log1p (expm1 (- 1.0 (cos x))))) (sqrt (log1p (expm1 (- 1.0 (cos x))))) (sqrt (log1p (expm1 (- 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)) (* 1/12 (pow x 4)))) (- (exp (- 1.0 (cos x))) 1) (- (exp (- 1.0 (cos x))) 1) (- (+ (* 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)) 6.622 * * [simplify]: iteration 0 : 200 enodes (cost 1678 ) 6.661 * * [simplify]: iteration 1 : 515 enodes (cost 1274 ) 6.805 * * [simplify]: iteration 2 : 1970 enodes (cost 1047 ) 7.558 * * [simplify]: iteration done : 5000 enodes (cost 1047 ) 7.558 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (* (cos x) 0) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (* (cos x) 0) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 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(sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (+ 1 (expm1 (- 1.0 (cos x)))) (expm1 (- 1.0 (cos x))) (log1p (- 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))) (fma 1/2 (pow x 2) (fma 1/720 (pow x 6) (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/2 (pow x 2) (fma 1/720 (pow x 6) (* 1/12 (pow x 4)))) (expm1 (- 1.0 (cos x))) (expm1 (- 1.0 (cos x))) (- (fma 1/720 (pow x 4) 1/2) (* 1/24 (pow x 2))) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (fma 1/2 (pow x 2) (fma 1/720 (pow x 6) (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) 7.559 * * * [progress]: adding candidates to table 7.774 * [progress]: [Phase 3 of 3] Extracting. 7.775 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 7.776 * * * [regime-changes]: Trying 1 branch expressions: (x) 7.776 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 7.823 * * * [regime]: Found split indices: #