8.689 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.008 * * * [progress]: [2/2] Setting up program. 0.009 * [progress]: [Phase 2 of 3] Improving. 0.009 * [simplify]: Simplifying using # : (- x (/ 1.0 3.0)) 0.010 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 0.011 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.012 * * [simplify]: iteration 2 : 10 enodes (cost 5 ) 0.013 * * [simplify]: iteration done : 10 enodes (cost 5 ) 0.013 * [simplify]: Simplified to: (- x (/ 1.0 3.0)) 0.013 * * [progress]: iteration 1 / 4 0.013 * * * [progress]: picking best candidate 0.014 * * * * [pick]: Picked # 0.014 * * * [progress]: localizing error 0.018 * * * [progress]: generating rewritten candidates 0.018 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (- x 0.3333333333333333) in (x) around 0 0.030 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.030 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.035 * [approximate]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in (x) around 0 0.035 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.035 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.047 * [approximate]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 0.047 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.055 * * * [progress]: simplifying candidates 0.057 * [simplify]: Simplifying using # : (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt (/ 1.0 3.0)) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0)))))) (fma (- (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt (/ 1.0 3.0)) (sqrt (/ 1.0 3.0))))) (fma (- (sqrt (/ 1.0 3.0))) (sqrt (/ 1.0 3.0)) (* (sqrt (/ 1.0 3.0)) (sqrt (/ 1.0 3.0)))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0)))))) (fma (- (/ (cbrt 1.0) (cbrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0))))) (fma (- (/ (cbrt 1.0) (sqrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)) (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (fma (- (/ (cbrt 1.0) 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0)))))) (fma (- (/ (sqrt 1.0) (cbrt 3.0))) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ (sqrt 1.0) (sqrt 3.0)) (/ (sqrt 1.0) (sqrt 3.0))))) (fma (- (/ (sqrt 1.0) (sqrt 3.0))) (/ (sqrt 1.0) (sqrt 3.0)) (* (/ (sqrt 1.0) (sqrt 3.0)) (/ (sqrt 1.0) (sqrt 3.0)))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1)))) (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))) (fma (- (/ 1.0 (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ 1.0 (sqrt 3.0)) (/ 1 (sqrt 3.0))))) (fma (- (/ 1.0 (sqrt 3.0))) (/ 1 (sqrt 3.0)) (* (/ 1.0 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ 1.0 3.0) (/ 1 1)))) (fma (- (/ 1.0 3.0)) (/ 1 1) (* (/ 1.0 3.0) (/ 1 1))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ 1.0 3.0) 1))) (fma (- (/ 1.0 3.0)) 1 (* (/ 1.0 3.0) 1)) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ 1 3.0) 1.0))) (fma (- (/ 1 3.0)) 1.0 (* (/ 1 3.0) 1.0)) (fma (sqrt x) (sqrt x) (- (* (cbrt (/ 1.0 3.0)) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0)))))) (fma (- (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))))) (fma (sqrt x) (sqrt x) (- (* (sqrt (/ 1.0 3.0)) (sqrt (/ 1.0 3.0))))) (fma (- (sqrt (/ 1.0 3.0))) (sqrt (/ 1.0 3.0)) (* (sqrt (/ 1.0 3.0)) (sqrt (/ 1.0 3.0)))) (fma (sqrt x) (sqrt x) (- (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0)))))) (fma (- (/ (cbrt 1.0) (cbrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))))) (fma (sqrt x) (sqrt x) (- (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0))))) (fma (- (/ (cbrt 1.0) (sqrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)) (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)))) (fma (sqrt x) (sqrt x) (- (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (fma (- (/ (cbrt 1.0) 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (fma (sqrt x) (sqrt x) (- (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0)))))) (fma (- (/ (sqrt 1.0) (cbrt 3.0))) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))))) (fma (sqrt x) (sqrt x) (- (* (/ (sqrt 1.0) (sqrt 3.0)) (/ (sqrt 1.0) (sqrt 3.0))))) (fma (- (/ (sqrt 1.0) (sqrt 3.0))) (/ (sqrt 1.0) (sqrt 3.0)) (* (/ (sqrt 1.0) (sqrt 3.0)) (/ (sqrt 1.0) (sqrt 3.0)))) (fma (sqrt x) (sqrt x) (- (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1)))) (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))) (fma (sqrt x) (sqrt x) (- (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))) (fma (- (/ 1.0 (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (fma (sqrt x) (sqrt x) (- (* (/ 1.0 (sqrt 3.0)) (/ 1 (sqrt 3.0))))) (fma (- (/ 1.0 (sqrt 3.0))) (/ 1 (sqrt 3.0)) (* (/ 1.0 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (fma (sqrt x) (sqrt x) (- (* (/ 1.0 3.0) (/ 1 1)))) (fma (- (/ 1.0 3.0)) (/ 1 1) (* (/ 1.0 3.0) (/ 1 1))) (fma (sqrt x) (sqrt x) (- (* (/ 1.0 3.0) 1))) (fma (- (/ 1.0 3.0)) 1 (* (/ 1.0 3.0) 1)) (fma (sqrt x) (sqrt x) (- (* (/ 1 3.0) 1.0))) (fma (- (/ 1 3.0)) 1.0 (* (/ 1 3.0) 1.0)) (fma 1 x (- (* (cbrt (/ 1.0 3.0)) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0)))))) (fma (- (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))))) (fma 1 x (- (* (sqrt (/ 1.0 3.0)) (sqrt (/ 1.0 3.0))))) (fma (- (sqrt (/ 1.0 3.0))) (sqrt (/ 1.0 3.0)) (* (sqrt (/ 1.0 3.0)) (sqrt (/ 1.0 3.0)))) (fma 1 x (- (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0)))))) (fma (- (/ (cbrt 1.0) (cbrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))))) (fma 1 x (- (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0))))) (fma (- (/ (cbrt 1.0) (sqrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)) (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)))) (fma 1 x (- (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (fma (- (/ (cbrt 1.0) 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (fma 1 x (- (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0)))))) (fma (- (/ (sqrt 1.0) (cbrt 3.0))) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))))) (fma 1 x (- (* (/ (sqrt 1.0) (sqrt 3.0)) (/ (sqrt 1.0) (sqrt 3.0))))) (fma (- (/ (sqrt 1.0) (sqrt 3.0))) (/ (sqrt 1.0) (sqrt 3.0)) (* (/ (sqrt 1.0) (sqrt 3.0)) (/ (sqrt 1.0) (sqrt 3.0)))) (fma 1 x (- (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1)))) (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))) (fma 1 x (- (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))) (fma (- (/ 1.0 (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (fma 1 x (- (* (/ 1.0 (sqrt 3.0)) (/ 1 (sqrt 3.0))))) (fma (- (/ 1.0 (sqrt 3.0))) (/ 1 (sqrt 3.0)) (* (/ 1.0 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (fma 1 x (- (* (/ 1.0 3.0) (/ 1 1)))) (fma (- (/ 1.0 3.0)) (/ 1 1) (* (/ 1.0 3.0) (/ 1 1))) (fma 1 x (- (* (/ 1.0 3.0) 1))) (fma (- (/ 1.0 3.0)) 1 (* (/ 1.0 3.0) 1)) (fma 1 x (- (* (/ 1 3.0) 1.0))) (fma (- (/ 1 3.0)) 1.0 (* (/ 1 3.0) 1.0)) (expm1 (- x (/ 1.0 3.0))) (log1p (- x (/ 1.0 3.0))) (- (/ 1.0 3.0)) (- (/ 1.0 3.0)) (- (/ 1.0 3.0)) (/ (exp x) (exp (/ 1.0 3.0))) (log (- x (/ 1.0 3.0))) (exp (- x (/ 1.0 3.0))) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))) (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (/ 1.0 3.0)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)) (+ (sqrt x) (sqrt (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- x (/ 1.0 3.0)) (- (/ 1.0 3.0)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) 0.061 * * [simplify]: iteration 0 : 154 enodes (cost 1713 ) 0.087 * * [simplify]: iteration 1 : 359 enodes (cost 1497 ) 0.208 * * [simplify]: iteration 2 : 969 enodes (cost 998 ) 0.960 * * [simplify]: iteration 3 : 3653 enodes (cost 729 ) 1.960 * * [simplify]: iteration done : 5000 enodes (cost 729 ) 1.961 * [simplify]: Simplified to: (- (pow (cbrt x) 3) (/ 1.0 3.0)) 0 (- (pow (cbrt x) 3) (/ 1.0 3.0)) 0 (- (pow (cbrt x) 3) (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))) (- (pow (cbrt x) 3) (/ (/ 1.0 (sqrt 3.0)) (sqrt 3.0))) (* (/ 1.0 (sqrt 3.0)) (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (- (pow (cbrt x) 3) (/ 1.0 3.0)) 0 (- (pow (cbrt x) 3) (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))) (- (pow (cbrt x) 3) (/ (/ 1.0 (sqrt 3.0)) (sqrt 3.0))) (* (/ 1.0 (sqrt 3.0)) (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (- (pow (cbrt x) 3) (/ 1.0 3.0)) 0 (- (pow (cbrt x) 3) (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))) (- (pow (cbrt x) 3) (/ (/ 1.0 (sqrt 3.0)) (sqrt 3.0))) (* (/ 1.0 (sqrt 3.0)) (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (- (pow (cbrt x) 3) (/ 1.0 3.0)) 0 (- (pow (cbrt x) 3) (/ 1.0 3.0)) 0 (- (pow (cbrt x) 3) (/ 1.0 3.0)) 0 (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))) (- x (/ (/ 1.0 (sqrt 3.0)) (sqrt 3.0))) (* (/ 1.0 (sqrt 3.0)) (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))) (- x (/ (/ 1.0 (sqrt 3.0)) (sqrt 3.0))) (* (/ 1.0 (sqrt 3.0)) (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))) (- x (/ (/ 1.0 (sqrt 3.0)) (sqrt 3.0))) (* (/ 1.0 (sqrt 3.0)) (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))) (- x (/ (/ 1.0 (sqrt 3.0)) (sqrt 3.0))) (* (/ 1.0 (sqrt 3.0)) (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))) (- x (/ (/ 1.0 (sqrt 3.0)) (sqrt 3.0))) (* (/ 1.0 (sqrt 3.0)) (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 (pow (cbrt 3.0) 3))) (- (/ 1.0 (pow (cbrt 3.0) 3)) (/ 1.0 (pow (cbrt 3.0) 3))) (- x (/ (/ 1.0 (sqrt 3.0)) (sqrt 3.0))) (* (/ 1.0 (sqrt 3.0)) (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 3.0)) 0 (- x (/ 1.0 3.0)) 0 (expm1 (- x (/ 1.0 3.0))) (log1p (- x (/ 1.0 3.0))) (- (/ 1.0 3.0)) (- (/ 1.0 3.0)) (- (/ 1.0 3.0)) (exp (- x (/ 1.0 3.0))) (log (- x (/ 1.0 3.0))) (exp (- x (/ 1.0 3.0))) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (pow (- x (/ 1.0 3.0)) 3) (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)) (fma x x (* (/ 1.0 3.0) (+ x (/ 1.0 3.0)))) (- (/ 1.0 3.0)) (- (* x x) (pow (cbrt (/ 1.0 3.0)) 6)) (+ x (/ 1.0 3.0)) (+ (sqrt x) (sqrt (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- x (/ 1.0 3.0)) (- (/ 1.0 3.0)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) 1.961 * * * [progress]: adding candidates to table 2.019 * * [progress]: iteration 2 / 4 2.019 * * * [progress]: picking best candidate 2.021 * * * * [pick]: Picked # 2.021 * * * [progress]: localizing error 2.028 * * * [progress]: generating rewritten candidates 2.028 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.053 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.077 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 2.098 * * * [progress]: generating series expansions 2.098 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.099 * [approximate]: Taking taylor expansion of (- x 0.3333333333333333) in (x) around 0 2.099 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.099 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.099 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.099 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.104 * [approximate]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in (x) around 0 2.104 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 2.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.104 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.104 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 2.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.105 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.113 * [approximate]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 2.113 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 2.113 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.113 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.113 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 2.113 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.113 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.121 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.122 * [approximate]: Taking taylor expansion of (exp (- x 0.3333333333333333)) in (x) around 0 2.122 * [taylor]: Taking taylor expansion of (exp (- x 0.3333333333333333)) in x 2.122 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.122 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.123 * [taylor]: Taking taylor expansion of (exp (- x 0.3333333333333333)) in x 2.123 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 2.123 * [taylor]: Taking taylor expansion of x in x 2.123 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.133 * [approximate]: Taking taylor expansion of (exp (- (/ 1 x) 0.3333333333333333)) in (x) around 0 2.133 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x) 0.3333333333333333)) in x 2.133 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 2.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.133 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.134 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x) 0.3333333333333333)) in x 2.134 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 2.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.135 * [approximate]: Taking taylor expansion of (exp (- (+ 0.3333333333333333 (/ 1 x)))) in (x) around 0 2.135 * [taylor]: Taking taylor expansion of (exp (- (+ 0.3333333333333333 (/ 1 x)))) in x 2.135 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 2.135 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.135 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.136 * [taylor]: Taking taylor expansion of (exp (- (+ 0.3333333333333333 (/ 1 x)))) in x 2.136 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 2.136 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.136 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.136 * [taylor]: Taking taylor expansion of x in x 2.137 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 2.137 * [approximate]: Taking taylor expansion of (- x 0.3333333333333333) in (x) around 0 2.137 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.137 * [taylor]: Taking taylor expansion of (- x 0.3333333333333333) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.142 * [approximate]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in (x) around 0 2.142 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 2.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.142 * [taylor]: Taking taylor expansion of x in x 2.143 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.143 * [taylor]: Taking taylor expansion of (- (/ 1 x) 0.3333333333333333) in x 2.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.143 * [taylor]: Taking taylor expansion of x in x 2.143 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.151 * [approximate]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in (x) around 0 2.151 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 2.151 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.151 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.151 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of (- (+ 0.3333333333333333 (/ 1 x))) in x 2.151 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 2.151 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.151 * [taylor]: Taking taylor expansion of x in x 2.164 * * * [progress]: simplifying candidates 2.168 * [simplify]: Simplifying using # : (expm1 (log (exp (- x (/ 1.0 3.0))))) (log1p (log (exp (- x (/ 1.0 3.0))))) (log (exp (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt (/ 1.0 3.0)) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0)))))))) (log (exp (fma (- (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))))))) (log (exp (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt (/ 1.0 3.0)) (sqrt (/ 1.0 3.0))))))) (log (exp (fma (- (sqrt (/ 1.0 3.0))) (sqrt (/ 1.0 3.0)) (* (sqrt (/ 1.0 3.0)) (sqrt (/ 1.0 3.0)))))) (log (exp (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0)))))))) (log (exp (fma (- (/ (cbrt 1.0) (cbrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))))))) (log (exp (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0))))))) (log (exp (fma (- (/ (cbrt 1.0) (sqrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)) (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)))))) (log (exp (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))))) (log (exp (fma (- (/ (cbrt 1.0) 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))))) (log (exp (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0)))))))) (log (exp (fma (- (/ (sqrt 1.0) (cbrt 3.0))) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))))))) (log (exp (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (/ (sqrt 1.0) (sqrt 3.0)) (/ (sqrt 1.0) (sqrt 3.0))))))) (log (exp (fma 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(fma 1 x (- (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0))))) (fma (- (/ (cbrt 1.0) (sqrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)) (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)))) (fma 1 x (- (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (fma (- (/ (cbrt 1.0) 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (fma 1 x (- (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0)))))) (fma (- (/ (sqrt 1.0) (cbrt 3.0))) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))))) (fma 1 x (- (* (/ (sqrt 1.0) (sqrt 3.0)) (/ (sqrt 1.0) (sqrt 3.0))))) (fma (- (/ (sqrt 1.0) (sqrt 3.0))) (/ (sqrt 1.0) (sqrt 3.0)) (* (/ (sqrt 1.0) (sqrt 3.0)) (/ (sqrt 1.0) (sqrt 3.0)))) (fma 1 x (- (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1)))) (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))) (fma 1 x (- (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))))) (fma (- (/ 1.0 (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 1.0 (cbrt 3.0)) (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (fma 1 x (- (* (/ 1.0 (sqrt 3.0)) (/ 1 (sqrt 3.0))))) (fma (- (/ 1.0 (sqrt 3.0))) (/ 1 (sqrt 3.0)) (* (/ 1.0 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (fma 1 x (- (* (/ 1.0 3.0) (/ 1 1)))) (fma (- (/ 1.0 3.0)) (/ 1 1) (* (/ 1.0 3.0) (/ 1 1))) (fma 1 x (- (* (/ 1.0 3.0) 1))) (fma (- (/ 1.0 3.0)) 1 (* (/ 1.0 3.0) 1)) (fma 1 x (- (* (/ 1 3.0) 1.0))) (fma (- (/ 1 3.0)) 1.0 (* (/ 1 3.0) 1.0)) (expm1 (- x (/ 1.0 3.0))) (log1p (- x (/ 1.0 3.0))) (- (/ 1.0 3.0)) (- (/ 1.0 3.0)) (- (/ 1.0 3.0)) (/ (exp x) (exp (/ 1.0 3.0))) (log (- x (/ 1.0 3.0))) (exp (- x (/ 1.0 3.0))) (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))) (cbrt (- x (/ 1.0 3.0))) (* (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))) (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))) (- (pow x 3) (pow (/ 1.0 3.0) 3)) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (- (/ 1.0 3.0)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)) (+ (sqrt x) (sqrt (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- x (/ 1.0 3.0)) (- (/ 1.0 3.0)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) (+ (exp (- 0.3333333333333333)) (+ (* (exp (- 0.3333333333333333)) x) (* 1/2 (* (exp (- 0.3333333333333333)) (pow x 2))))) (exp (- x 0.3333333333333333)) (exp (- x 0.3333333333333333)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) 2.179 * * [simplify]: iteration 0 : 305 enodes (cost 5411 ) 2.231 * * [simplify]: iteration 1 : 538 enodes (cost 4560 ) 2.396 * * [simplify]: iteration 2 : 1266 enodes (cost 3054 ) 3.620 * * [simplify]: iteration 3 : 4388 enodes (cost 2225 ) 4.632 * * [simplify]: iteration done : 5000 enodes (cost 2225 ) 4.633 * [simplify]: Simplified to: (expm1 (- x (/ 1.0 3.0))) (log1p (- x (/ 1.0 3.0))) (- (pow (cbrt 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(pow (cbrt (/ 1.0 3.0)) 6)) (+ x (/ 1.0 3.0)) (+ (sqrt x) (sqrt (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))) (+ (/ (sqrt 1.0) (sqrt 3.0)) (sqrt x)) (- (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (- x (/ 1.0 3.0)) (- (/ 1.0 3.0)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) (* (exp (- 0.3333333333333333)) (+ (* (* x x) 1/2) (+ x 1))) (exp (- x 0.3333333333333333)) (exp (- x 0.3333333333333333)) (- x 0.3333333333333333) (- x 0.3333333333333333) (- x 0.3333333333333333) 4.635 * * * [progress]: adding candidates to table 4.835 * [progress]: [Phase 3 of 3] Extracting. 4.835 * * [regime]: Finding splitpoints for: (# #) 4.835 * * * [regime-changes]: Trying 2 branch expressions: ((- x (/ 1.0 3.0)) x) 4.835 * * * * [regimes]: Trying to branch on (- x (/ 1.0 3.0)) from (# #) 4.844 * * * * [regimes]: Trying to branch on x from (# #) 4.854 * * * [regime]: Found split indices: #