6.334 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.007 * * * [progress]: [2/2] Setting up program. 0.009 * [progress]: [Phase 2 of 3] Improving. 0.009 * [simplify]: Simplifying using # : (+ x (/ 1.0 3.0)) 0.011 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.013 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 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 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.028 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.029 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.031 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.031 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.037 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.037 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.045 * * * [progress]: simplifying candidates 0.045 * [simplify]: Simplifying using # : (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 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)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.048 * * [simplify]: iteration 0 : 82 enodes (cost 61 ) 0.050 * * [simplify]: iteration 1 : 218 enodes (cost 55 ) 0.054 * * [simplify]: iteration 2 : 532 enodes (cost 55 ) 0.063 * * [simplify]: iteration 3 : 1514 enodes (cost 55 ) 0.091 * * [simplify]: iteration 4 : 5001 enodes (cost 55 ) 0.092 * [simplify]: Simplified to: (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 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 (/ 1.0 3.0) (- (/ 1.0 3.0) x) (* x x)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.092 * * * [progress]: adding candidates to table 0.127 * * [progress]: iteration 2 / 4 0.127 * * * [progress]: picking best candidate 0.128 * * * * [pick]: Picked # 0.128 * * * [progress]: localizing error 0.135 * * * [progress]: generating rewritten candidates 0.135 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.136 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.143 * * * [progress]: generating series expansions 0.143 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.143 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ x 0.3333333333333333))) in (x) around 0 0.143 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ x 0.3333333333333333))) in x 0.143 * [taylor]: Rewrote expression to (- (exp (log1p (+ x 0.3333333333333333))) 1) 0.143 * [taylor]: Taking taylor expansion of (exp (log1p (+ x 0.3333333333333333))) in x 0.143 * [taylor]: Taking taylor expansion of (log1p (+ x 0.3333333333333333)) in x 0.143 * [taylor]: Rewrote expression to (log (+ 1 (+ x 0.3333333333333333))) 0.143 * [taylor]: Taking taylor expansion of (+ 1 (+ x 0.3333333333333333)) in x 0.144 * [taylor]: Taking taylor expansion of 1 in x 0.144 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.145 * [taylor]: Taking taylor expansion of 1 in x 0.145 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ x 0.3333333333333333))) in x 0.145 * [taylor]: Rewrote expression to (- (exp (log1p (+ x 0.3333333333333333))) 1) 0.145 * [taylor]: Taking taylor expansion of (exp (log1p (+ x 0.3333333333333333))) in x 0.145 * [taylor]: Taking taylor expansion of (log1p (+ x 0.3333333333333333)) in x 0.145 * [taylor]: Rewrote expression to (log (+ 1 (+ x 0.3333333333333333))) 0.146 * [taylor]: Taking taylor expansion of (+ 1 (+ x 0.3333333333333333)) in x 0.146 * [taylor]: Taking taylor expansion of 1 in x 0.146 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.147 * [taylor]: Taking taylor expansion of 1 in x 0.173 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ 0.3333333333333333 (/ 1 x)))) in (x) around 0 0.173 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ 0.3333333333333333 (/ 1 x)))) in x 0.173 * [taylor]: Rewrote expression to (- (exp (log1p (+ 0.3333333333333333 (/ 1 x)))) 1) 0.173 * [taylor]: Taking taylor expansion of (exp (log1p (+ 0.3333333333333333 (/ 1 x)))) in x 0.173 * [taylor]: Taking taylor expansion of (log1p (+ 0.3333333333333333 (/ 1 x))) in x 0.173 * [taylor]: Rewrote expression to (log (+ 1 (+ 0.3333333333333333 (/ 1 x)))) 0.173 * [taylor]: Taking taylor expansion of (+ 1 (+ 0.3333333333333333 (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of 1 in x 0.173 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of 1 in x 0.174 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ 0.3333333333333333 (/ 1 x)))) in x 0.175 * [taylor]: Rewrote expression to (- (exp (log1p (+ 0.3333333333333333 (/ 1 x)))) 1) 0.175 * [taylor]: Taking taylor expansion of (exp (log1p (+ 0.3333333333333333 (/ 1 x)))) in x 0.175 * [taylor]: Taking taylor expansion of (log1p (+ 0.3333333333333333 (/ 1 x))) in x 0.175 * [taylor]: Rewrote expression to (log (+ 1 (+ 0.3333333333333333 (/ 1 x)))) 0.175 * [taylor]: Taking taylor expansion of (+ 1 (+ 0.3333333333333333 (/ 1 x))) in x 0.175 * [taylor]: Taking taylor expansion of 1 in x 0.175 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of 1 in x 0.240 * [approximate]: Taking taylor expansion of (expm1 (log1p (- 0.3333333333333333 (/ 1 x)))) in (x) around 0 0.240 * [taylor]: Taking taylor expansion of (expm1 (log1p (- 0.3333333333333333 (/ 1 x)))) in x 0.240 * [taylor]: Rewrote expression to (- (exp (log1p (- 0.3333333333333333 (/ 1 x)))) 1) 0.240 * [taylor]: Taking taylor expansion of (exp (log1p (- 0.3333333333333333 (/ 1 x)))) in x 0.240 * [taylor]: Taking taylor expansion of (log1p (- 0.3333333333333333 (/ 1 x))) in x 0.240 * [taylor]: Rewrote expression to (log (+ 1 (- 0.3333333333333333 (/ 1 x)))) 0.240 * [taylor]: Taking taylor expansion of (+ 1 (- 0.3333333333333333 (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of 1 in x 0.240 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [taylor]: Taking taylor expansion of (expm1 (log1p (- 0.3333333333333333 (/ 1 x)))) in x 0.243 * [taylor]: Rewrote expression to (- (exp (log1p (- 0.3333333333333333 (/ 1 x)))) 1) 0.243 * [taylor]: Taking taylor expansion of (exp (log1p (- 0.3333333333333333 (/ 1 x)))) in x 0.243 * [taylor]: Taking taylor expansion of (log1p (- 0.3333333333333333 (/ 1 x))) in x 0.243 * [taylor]: Rewrote expression to (log (+ 1 (- 0.3333333333333333 (/ 1 x)))) 0.243 * [taylor]: Taking taylor expansion of (+ 1 (- 0.3333333333333333 (/ 1 x))) in x 0.243 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of 1 in x 0.317 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.318 * [approximate]: Taking taylor expansion of (+ x 0.3333333333333333) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.318 * [taylor]: Taking taylor expansion of (+ x 0.3333333333333333) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.320 * [approximate]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in (x) around 0 0.320 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (+ 0.3333333333333333 (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.326 * [approximate]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (- 0.3333333333333333 (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.334 * * * [progress]: simplifying candidates 0.334 * [simplify]: Simplifying using # : (exp (log1p (+ x (/ 1.0 3.0)))) (expm1 (expm1 (log1p (+ x (/ 1.0 3.0))))) (log1p (expm1 (log1p (+ x (/ 1.0 3.0))))) (log (expm1 (log1p (+ x (/ 1.0 3.0))))) (exp (expm1 (log1p (+ x (/ 1.0 3.0))))) (* (cbrt (expm1 (log1p (+ x (/ 1.0 3.0))))) (cbrt (expm1 (log1p (+ x (/ 1.0 3.0)))))) (cbrt (expm1 (log1p (+ x (/ 1.0 3.0))))) (* (* (expm1 (log1p (+ x (/ 1.0 3.0)))) (expm1 (log1p (+ x (/ 1.0 3.0))))) (expm1 (log1p (+ x (/ 1.0 3.0))))) (sqrt (expm1 (log1p (+ x (/ 1.0 3.0))))) (sqrt (expm1 (log1p (+ x (/ 1.0 3.0))))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 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)))) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (- (+ 0.33333333333333326 (+ (* 0.375 (pow x 2)) (* 1.0 x))) (* 0.6666666666666666 (/ (pow x 2) (pow 1.3333333333333333 2)))) (- (+ (* 1.3333333333333333 (/ (exp (- (log (/ 1 x)))) x)) (exp (- (log (/ 1 x))))) (+ 1 (* 1.1102230246251565e-16 (/ (exp (- (log (/ 1 x)))) (pow x 4))))) (- (+ (exp (- (log -1) (log (/ -1 x)))) (* 1.3333333333333333 (/ (exp (- (log -1) (log (/ -1 x)))) x))) (+ (* 1.1102230246251565e-16 (/ (exp (- (log -1) (log (/ -1 x)))) (pow x 4))) 1)) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.338 * * [simplify]: iteration 0 : 201 enodes (cost 151 ) 0.341 * * [simplify]: iteration 1 : 601 enodes (cost 140 ) 0.351 * * [simplify]: iteration 2 : 2016 enodes (cost 121 ) 0.391 * * [simplify]: iteration 3 : 5002 enodes (cost 114 ) 0.392 * [simplify]: Simplified to: (exp (log1p (+ x (/ 1.0 3.0)))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ 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))) (expm1 (+ x (/ 1.0 3.0))) (log1p (+ x (/ 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 (/ 1.0 3.0) (- (/ 1.0 3.0) x) (pow x 2)) (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)) (fma x (+ (* 0.375 x) 1.0) (- 0.33333333333333326 (* 0.6666666666666666 (/ (pow x 2) (pow 1.3333333333333333 2))))) (+ x (fma 1.3333333333333333 1 (- (- 1) (* (/ 1.1102230246251565e-16 (pow x 4)) (* 1 x))))) (+ x (fma 1.3333333333333333 1 (- (- 1) (* (/ 1.1102230246251565e-16 (pow x 4)) (* 1 x))))) (+ x 0.3333333333333333) (+ x 0.3333333333333333) (+ x 0.3333333333333333) 0.392 * * * [progress]: adding candidates to table 0.462 * [progress]: [Phase 3 of 3] Extracting. 0.462 * * [regime]: Finding splitpoints for: (# #) 0.463 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (/ 1.0 3.0)) x) 0.463 * * * * [regimes]: Trying to branch on (+ x (/ 1.0 3.0)) from (# #) 0.475 * * * * [regimes]: Trying to branch on x from (# #) 0.484 * * * [regime]: Found split indices: #