28.774 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.038 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.039 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.040 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.041 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.042 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.044 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.045 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.047 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.049 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.052 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.057 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.084 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.310 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.312 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.316 * * [progress]: iteration 1 / 4 0.316 * * * [progress]: picking best candidate 0.318 * * * * [pick]: Picked # 0.318 * * * [progress]: localizing error 0.324 * * * [progress]: generating rewritten candidates 0.324 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.329 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.335 * * * [progress]: generating series expansions 0.335 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.335 * [approximate]: Approximating (* 3 (pow y 2)) in (y) around 0 0.345 * [approximate]: Approximating (/ 3 (pow y 2)) in (y) around 0 0.354 * [approximate]: Approximating (/ 3 (pow y 2)) in (y) around 0 0.364 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.364 * [approximate]: Approximating (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.372 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.372 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.391 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.407 * * * [progress]: simplifying candidates 0.407 * [simplify]: Simplifying using # : (* 3 (* y y)) (* 3 (* y y)) (+ (log 3) (+ (log y) (log y))) (+ (log 3) (log (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* 3 3) 3) (* (* (* y y) y) (* (* y y) y))) (* (* (* 3 3) 3) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* 3 (* y y)) (* 3 (* y y))) (* 3 (* y y))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (* (exp (* 3 (* y y))) (exp (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (* (* (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x))) (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (pow (* 3 (* y y)) 3) (pow (* x x) 3)) (+ (* (* 3 (* y y)) (* 3 (* y y))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* x x)))) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* x x))) (- (* 3 (* y y)) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.411 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.414 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.427 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.482 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.483 * [simplify]: Simplified to: (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* 27 (pow y 6)) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (exp (+ (* 3 (* y y)) (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (+ (* 9 (pow y 4)) (* -3 (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (* 9 (pow y 3)) y)) (- (* 3 (* y y)) (* x x)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.483 * * * [progress]: adding candidates to table 0.547 * * [progress]: iteration 2 / 4 0.547 * * * [progress]: picking best candidate 0.557 * * * * [pick]: Picked # 0.557 * * * [progress]: localizing error 0.563 * * * [progress]: generating rewritten candidates 0.563 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.567 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.572 * * * [progress]: generating series expansions 0.572 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.572 * [approximate]: Approximating (* 3 (pow y 2)) in (y) around 0 0.584 * [approximate]: Approximating (/ 3 (pow y 2)) in (y) around 0 0.594 * [approximate]: Approximating (/ 3 (pow y 2)) in (y) around 0 0.603 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.604 * [approximate]: Approximating (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.604 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.604 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.606 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.608 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.611 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.611 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.627 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.642 * * * [progress]: simplifying candidates 0.643 * [simplify]: Simplifying using # : (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* (exp (* (* 3 y) y)) (exp (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (* (* (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x))) (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x)))) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))) (- (* (* 3 y) y) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.646 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.650 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.670 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.763 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.764 * [simplify]: Simplified to: (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) 3) (* 3 y) (pow y 2) (exp (+ (* (* 3 y) y) (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (- (* (* 3 y) y) (* x x))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (* 9 (pow y 2)) (pow y 2))) (- (* (* 3 y) y) (* x x)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.764 * * * [progress]: adding candidates to table 0.817 * * [progress]: iteration 3 / 4 0.817 * * * [progress]: picking best candidate 0.827 * * * * [pick]: Picked # 0.827 * * * [progress]: localizing error 0.835 * * * [progress]: generating rewritten candidates 0.835 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.839 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.845 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.856 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.865 * * * [progress]: generating series expansions 0.865 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.866 * [approximate]: Approximating (* (sqrt 3) y) in (y) around 0 0.881 * [approximate]: Approximating (/ (sqrt 3) y) in (y) around 0 0.893 * [approximate]: Approximating (/ (sqrt 3) y) in (y) around 0 0.906 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.906 * [approximate]: Approximating (* (sqrt 3) y) in (y) around 0 0.924 * [approximate]: Approximating (/ (sqrt 3) y) in (y) around 0 0.936 * [approximate]: Approximating (/ (sqrt 3) y) in (y) around 0 0.949 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.949 * [approximate]: Approximating (* (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.975 * [approximate]: Approximating (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.004 * [approximate]: Approximating (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.031 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.031 * [approximate]: Approximating (* 3 (pow y 2)) in (y) around 0 1.040 * [approximate]: Approximating (/ 3 (pow y 2)) in (y) around 0 1.050 * [approximate]: Approximating (/ 3 (pow y 2)) in (y) around 0 1.060 * * * [progress]: simplifying candidates 1.061 * [simplify]: Simplifying using # : (log (sqrt (* (* 3 y) y))) (exp (sqrt (* (* 3 y) y))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (cbrt (sqrt (* (* 3 y) y))) (* (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y))) (sqrt (* 3 y)) (sqrt y) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))) (log (sqrt (* (* 3 y) y))) (exp (sqrt (* (* 3 y) y))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (cbrt (sqrt (* (* 3 y) y))) (* (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y))) (sqrt (* 3 y)) (sqrt y) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (+ 1 1) (+ (log (sqrt (* (* 3 y) y))) (log (sqrt (* (* 3 y) y)))) (log (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (exp (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (* (* (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y))) (* (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y)))) (* (cbrt (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (cbrt (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))))) (cbrt (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (* (* (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (* (* (* 3 y) y) (* (* 3 y) y)) (sqrt (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (sqrt (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (* (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y))))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (* (sqrt (* 3 y)) (sqrt (* 3 y))) (* (sqrt y) (sqrt y)) (* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y)))) (* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y)))) (* 1 1) (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y)))) (* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* (sqrt (* (* 3 y) y)) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y))))) (* (sqrt (* (* 3 y) y)) (sqrt (* 3 y))) (* (sqrt (* (* 3 y) y)) (sqrt (sqrt (* (* 3 y) y)))) (* (sqrt (* (* 3 y) y)) 1) (* (cbrt (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y))) (* (sqrt y) (sqrt (* (* 3 y) y))) (* (sqrt (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y))) (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* (sqrt 3) y) (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (* (sqrt 3) y) (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 1.065 * * [simplify]: iteration 0 : 178 enodes (cost 365 ) 1.070 * * [simplify]: iteration 1 : 984 enodes (cost 307 ) 1.100 * * [simplify]: iteration 2 : 5002 enodes (cost 269 ) 1.103 * [simplify]: Simplified to: (log (sqrt (* (* 3 y) y))) (exp (sqrt (* (* 3 y) y))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (cbrt (sqrt (* (* 3 y) y))) (pow (sqrt (* (* 3 y) y)) 3) (sqrt (* 3 y)) (sqrt y) 1/2 1/2 1/2 (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))) (log (sqrt (* (* 3 y) y))) (exp (sqrt (* (* 3 y) y))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (cbrt (sqrt (* (* 3 y) y))) (pow (sqrt (* (* 3 y) y)) 3) (sqrt (* 3 y)) (sqrt y) 1/2 1/2 1/2 (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))) 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 (* (pow y 4) 9) (* (* 3 y) y) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) 2 (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (* (pow y 4) 9) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (pow (cbrt (sqrt (* (* 3 y) y))) 4) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (* 3 y) y (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) 1 (* (* 3 y) y) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) 1 2 1 1 1 1 1 1 1 1 1 (* (pow (cbrt (sqrt (* (* 3 y) y))) 4) (cbrt (sqrt (* (* 3 y) y)))) (* (sqrt (* (* 3 y) y)) (sqrt (* 3 y))) (pow (sqrt (sqrt (* (* 3 y) y))) 3) (sqrt (* (* 3 y) y)) (pow (cbrt (sqrt (* (* 3 y) y))) 4) (* (sqrt y) (sqrt (* (* 3 y) y))) (pow (sqrt (sqrt (* (* 3 y) y))) 3) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* 3 y) (pow y 2) (* (sqrt 3) y) (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (* (sqrt 3) y) (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) 1.103 * * * [progress]: adding candidates to table 1.278 * * [progress]: iteration 4 / 4 1.278 * * * [progress]: picking best candidate 1.285 * * * * [pick]: Picked # 1.285 * * * [progress]: localizing error 1.297 * * * [progress]: generating rewritten candidates 1.297 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.298 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 1.299 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 1.300 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.307 * * * [progress]: generating series expansions 1.307 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.307 * [approximate]: Approximating (pow y 1/3) in (y) around 0 1.361 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 1.421 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.495 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 1.495 * [approximate]: Approximating (pow y 1/3) in (y) around 0 1.551 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 1.617 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.699 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.699 * [approximate]: Approximating (pow y 1/3) in (y) around 0 1.762 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 1.828 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.909 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.909 * [approximate]: Approximating (pow (pow y 2) 1/3) in (y) around 0 1.975 * [approximate]: Approximating (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 2.047 * [approximate]: Approximating (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 2.140 * * * [progress]: simplifying candidates 2.141 * [simplify]: Simplifying using # : (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (+ 1/3 1/3) (+ 1 1) (* y y) (* (cbrt y) (cbrt y)) (+ 1 1) (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt y) (cbrt y))) (exp (* (cbrt y) (cbrt y))) (* y y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 1 1) (* (cbrt y) (cbrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 2 1/3) (* 2 1) (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (* (cbrt y) (cbrt 1)) (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt y) (sqrt (cbrt y))) (* (cbrt y) 1) (* (cbrt (cbrt y)) (cbrt y)) (* (cbrt (sqrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt (cbrt y)) (cbrt y)) (* (sqrt (cbrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 2.145 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 2.148 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 2.161 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 2.225 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 2.227 * [simplify]: Simplified to: (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) 2/3 2 (pow y 2) (pow y 2/3) 2 (* 2/3 (log y)) (* 2/3 (log y)) (exp (pow y 2/3)) (pow y 2) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (pow y 2) (fabs (pow y 1/3)) (fabs (pow y 1/3)) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) 1 (pow y 2/3) (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow y 1/3) (pow y 1/3) 1 (pow y 2/3) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (pow y 1/3) (pow y 1/3) 2/3 2 (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (pow y 1/3) (pow (cbrt (cbrt y)) 5) (pow (sqrt (cbrt y)) 3) (pow y 1/3) (pow (cbrt (cbrt y)) 4) (* (cbrt y) (cbrt (sqrt y))) (pow y 2/3) (pow (cbrt (cbrt y)) 4) (pow (sqrt (cbrt y)) 3) (pow y 2/3) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 2.228 * * * [progress]: adding candidates to table 2.592 * [progress]: [Phase 3 of 3] Extracting. 2.592 * * [regime]: Finding splitpoints for: (# # # # #) 2.593 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 2.593 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 2.636 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 2.678 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.723 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.768 * * * [regime]: Found split indices: #