7.287 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.520 * * * [progress]: [2/2] Setting up program. 0.523 * [progress]: [Phase 2 of 3] Improving. 0.523 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.525 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.527 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.528 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.529 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.531 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.532 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.534 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.536 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.538 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.541 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.547 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.575 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.793 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.795 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.798 * * [progress]: iteration 1 / 4 0.798 * * * [progress]: picking best candidate 0.800 * * * * [pick]: Picked # 0.800 * * * [progress]: localizing error 0.806 * * * [progress]: generating rewritten candidates 0.806 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.811 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.817 * * * [progress]: generating series expansions 0.817 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.817 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.817 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.817 * [taylor]: Taking taylor expansion of 3 in y 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.817 * [taylor]: Taking taylor expansion of 3 in y 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.818 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.818 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of 3 in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of 3 in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.819 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.819 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.819 * [taylor]: Taking taylor expansion of 3 in y 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.819 * [taylor]: Taking taylor expansion of 3 in y 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.820 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.820 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.820 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.820 * [taylor]: Taking taylor expansion of 3 in x 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.820 * [taylor]: Taking taylor expansion of x in y 0.820 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.820 * [taylor]: Taking taylor expansion of 3 in y 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.820 * [taylor]: Taking taylor expansion of x in y 0.820 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.820 * [taylor]: Taking taylor expansion of 3 in y 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of 0 in x 0.820 * [taylor]: Taking taylor expansion of 3 in x 0.820 * [taylor]: Taking taylor expansion of 0 in x 0.823 * [taylor]: Taking taylor expansion of 0 in x 0.823 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.823 * [taylor]: Taking taylor expansion of 3 in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.823 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.823 * [taylor]: Taking taylor expansion of 3 in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.824 * [taylor]: Taking taylor expansion of x in y 0.824 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.824 * [taylor]: Taking taylor expansion of 3 in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of 3 in x 0.824 * [taylor]: Taking taylor expansion of 0 in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of 0 in x 0.825 * [taylor]: Taking taylor expansion of 0 in x 0.825 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.825 * [taylor]: Taking taylor expansion of 3 in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.826 * [taylor]: Taking taylor expansion of x in y 0.826 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.826 * [taylor]: Taking taylor expansion of 3 in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.826 * [taylor]: Taking taylor expansion of x in y 0.826 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.826 * [taylor]: Taking taylor expansion of 3 in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of 3 in x 0.826 * [taylor]: Taking taylor expansion of 0 in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of 0 in x 0.827 * [taylor]: Taking taylor expansion of 0 in x 0.828 * * * [progress]: simplifying candidates 0.828 * [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))) 0.832 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.835 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.849 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.903 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.905 * [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))) 0.905 * * * [progress]: adding candidates to table 0.945 * * [progress]: iteration 2 / 4 0.945 * * * [progress]: picking best candidate 0.957 * * * * [pick]: Picked # 0.957 * * * [progress]: localizing error 0.963 * * * [progress]: generating rewritten candidates 0.963 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.967 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.973 * * * [progress]: generating series expansions 0.973 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.973 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.973 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.973 * [taylor]: Taking taylor expansion of 3 in y 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.973 * [taylor]: Taking taylor expansion of 3 in y 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.974 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.974 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.974 * [taylor]: Taking taylor expansion of 3 in y 0.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.974 * [taylor]: Taking taylor expansion of y in y 0.974 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.974 * [taylor]: Taking taylor expansion of 3 in y 0.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.974 * [taylor]: Taking taylor expansion of y in y 0.975 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.975 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.975 * [taylor]: Taking taylor expansion of 3 in y 0.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.975 * [taylor]: Taking taylor expansion of 3 in y 0.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.975 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.976 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.976 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.976 * [taylor]: Taking taylor expansion of 3 in x 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.976 * [taylor]: Taking taylor expansion of y in x 0.976 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.976 * [taylor]: Taking taylor expansion of x in y 0.976 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of 3 in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.976 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.976 * [taylor]: Taking taylor expansion of x in y 0.976 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of 3 in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of 0 in x 0.976 * [taylor]: Taking taylor expansion of 3 in x 0.976 * [taylor]: Taking taylor expansion of 0 in x 0.977 * [taylor]: Taking taylor expansion of 0 in x 0.977 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.977 * [taylor]: Taking taylor expansion of 3 in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.977 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.977 * [taylor]: Taking taylor expansion of y in x 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.977 * [taylor]: Taking taylor expansion of x in y 0.977 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.977 * [taylor]: Taking taylor expansion of 3 in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.977 * [taylor]: Taking taylor expansion of x in y 0.978 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.978 * [taylor]: Taking taylor expansion of 3 in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.978 * [taylor]: Taking taylor expansion of y in y 0.978 * [taylor]: Taking taylor expansion of 3 in x 0.978 * [taylor]: Taking taylor expansion of 0 in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of 0 in x 0.979 * [taylor]: Taking taylor expansion of 0 in x 0.979 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.979 * [taylor]: Taking taylor expansion of 3 in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.979 * [taylor]: Taking taylor expansion of y in x 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.979 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.980 * [taylor]: Taking taylor expansion of 3 in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.980 * [taylor]: Taking taylor expansion of 3 in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of 3 in x 0.980 * [taylor]: Taking taylor expansion of 0 in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of 0 in x 0.981 * [taylor]: Taking taylor expansion of 0 in x 0.981 * * * [progress]: simplifying candidates 0.982 * [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))) 0.985 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.990 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 1.010 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 1.104 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 1.105 * [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))) 1.106 * * * [progress]: adding candidates to table 1.136 * * [progress]: iteration 3 / 4 1.136 * * * [progress]: picking best candidate 1.149 * * * * [pick]: Picked # 1.149 * * * [progress]: localizing error 1.158 * * * [progress]: generating rewritten candidates 1.158 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.164 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.177 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.191 * * * [progress]: generating series expansions 1.191 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.191 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 1.191 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.191 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.191 * [taylor]: Taking taylor expansion of 3 in y 1.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.191 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.191 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.191 * [taylor]: Taking taylor expansion of 3 in y 1.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.192 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.192 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.192 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.192 * [taylor]: Taking taylor expansion of 3 in y 1.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.192 * [taylor]: Taking taylor expansion of y in y 1.192 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.192 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.192 * [taylor]: Taking taylor expansion of 3 in y 1.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.192 * [taylor]: Taking taylor expansion of y in y 1.194 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.194 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.194 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.194 * [taylor]: Taking taylor expansion of 3 in y 1.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.194 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.194 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.194 * [taylor]: Taking taylor expansion of 3 in y 1.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.195 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.195 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.195 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.195 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.195 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.195 * [taylor]: Taking taylor expansion of 3 in y 1.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.196 * [taylor]: Taking taylor expansion of y in y 1.196 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.196 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.196 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.196 * [taylor]: Taking taylor expansion of 3 in y 1.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.196 * [taylor]: Taking taylor expansion of y in y 1.198 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.198 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.198 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.198 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.198 * [taylor]: Taking taylor expansion of 3 in y 1.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.198 * [taylor]: Taking taylor expansion of y in y 1.199 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.199 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.199 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.199 * [taylor]: Taking taylor expansion of 3 in y 1.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.199 * [taylor]: Taking taylor expansion of y in y 1.201 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.201 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.201 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.201 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.201 * [taylor]: Taking taylor expansion of 3 in y 1.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.201 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.202 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.202 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.202 * [taylor]: Taking taylor expansion of 3 in y 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.204 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.204 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.204 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.204 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.204 * [taylor]: Taking taylor expansion of 3 in x 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.205 * [taylor]: Taking taylor expansion of y in x 1.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.205 * [taylor]: Taking taylor expansion of x in y 1.205 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.205 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.205 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.205 * [taylor]: Taking taylor expansion of 3 in y 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.205 * [taylor]: Taking taylor expansion of y in y 1.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.205 * [taylor]: Taking taylor expansion of x in y 1.205 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.205 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.205 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.205 * [taylor]: Taking taylor expansion of 3 in y 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.205 * [taylor]: Taking taylor expansion of y in y 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of 0 in x 1.205 * [taylor]: Taking taylor expansion of 3 in x 1.206 * [taylor]: Taking taylor expansion of 0 in x 1.206 * [taylor]: Taking taylor expansion of 0 in x 1.207 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.207 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.207 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.207 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.207 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.207 * [taylor]: Taking taylor expansion of 3 in x 1.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.207 * [taylor]: Taking taylor expansion of y in x 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.207 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.207 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.207 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.207 * [taylor]: Taking taylor expansion of 3 in y 1.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.207 * [taylor]: Taking taylor expansion of y in y 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.207 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.207 * [taylor]: Taking taylor expansion of x in y 1.208 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.208 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.208 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.208 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.208 * [taylor]: Taking taylor expansion of 3 in y 1.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.208 * [taylor]: Taking taylor expansion of y in y 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.208 * [taylor]: Taking taylor expansion of x in y 1.208 * [taylor]: Taking taylor expansion of 3 in x 1.208 * [taylor]: Taking taylor expansion of 0 in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of 0 in x 1.210 * [taylor]: Taking taylor expansion of 0 in x 1.210 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.210 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.210 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.210 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.210 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.211 * [taylor]: Taking taylor expansion of 3 in x 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.211 * [taylor]: Taking taylor expansion of y in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.211 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.211 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.211 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.211 * [taylor]: Taking taylor expansion of 3 in y 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.211 * [taylor]: Taking taylor expansion of x in y 1.211 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.211 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.211 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.211 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.211 * [taylor]: Taking taylor expansion of 3 in y 1.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.212 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [taylor]: Taking taylor expansion of 3 in x 1.212 * [taylor]: Taking taylor expansion of 0 in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of 0 in x 1.214 * [taylor]: Taking taylor expansion of 0 in x 1.214 * * * [progress]: simplifying candidates 1.215 * [simplify]: Simplifying using # : (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (+ (log (cbrt 3)) (+ (log y) (log y))) (+ (log (cbrt 3)) (log (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* 3 (* (* (* y y) y) (* (* y y) y))) (* 3 (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (log (* (cbrt 3) (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (log (* (cbrt 3) (* y y)))) (log (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* 3 3) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* 3 3) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* 3 3) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (cbrt 3)) (* (cbrt 3) (* (cbrt 3) (* y y))) (* (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (* (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* x x) (* x x))) (- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* 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))) 1.220 * * [simplify]: iteration 0 : 263 enodes (cost 553 ) 1.226 * * [simplify]: iteration 1 : 1076 enodes (cost 421 ) 1.253 * * [simplify]: iteration 2 : 5001 enodes (cost 365 ) 1.258 * [simplify]: Simplified to: (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* (pow y 6) 3) (* (pow y 6) 3) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (pow y 6) 3) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (pow (exp (* (pow (cbrt 3) 3) y)) y) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* 27 (pow y 6)) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) 3 (* (cbrt 3) (* (cbrt 3) (* y y))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (pow (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) 3) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (+ (* (pow y 4) (pow (* (cbrt 3) (cbrt 3)) 3)) (* -3 (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (pow (* (cbrt 3) (cbrt 3)) 3) (* (* y y) (* y y)))) (+ (* (* (pow (cbrt 3) 3) y) y) (neg (pow x 2))) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.258 * * * [progress]: adding candidates to table 1.344 * * [progress]: iteration 4 / 4 1.344 * * * [progress]: picking best candidate 1.352 * * * * [pick]: Picked # 1.352 * * * [progress]: localizing error 1.361 * * * [progress]: generating rewritten candidates 1.361 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.366 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.371 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.398 * * * [progress]: generating series expansions 1.398 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.398 * [approximate]: Taking taylor expansion of (* (cbrt 3) y) in (y) around 0 1.398 * [taylor]: Taking taylor expansion of (* (cbrt 3) y) in y 1.398 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.398 * [taylor]: Taking taylor expansion of 3 in y 1.398 * [taylor]: Taking taylor expansion of y in y 1.398 * [taylor]: Taking taylor expansion of (* (cbrt 3) y) in y 1.398 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.398 * [taylor]: Taking taylor expansion of 3 in y 1.398 * [taylor]: Taking taylor expansion of y in y 1.399 * [approximate]: Taking taylor expansion of (/ (cbrt 3) y) in (y) around 0 1.399 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.399 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.399 * [taylor]: Taking taylor expansion of 3 in y 1.399 * [taylor]: Taking taylor expansion of y in y 1.399 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.399 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.399 * [taylor]: Taking taylor expansion of 3 in y 1.399 * [taylor]: Taking taylor expansion of y in y 1.400 * [approximate]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in (y) around 0 1.400 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in y 1.400 * [taylor]: Taking taylor expansion of -1 in y 1.400 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.400 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.400 * [taylor]: Taking taylor expansion of 3 in y 1.400 * [taylor]: Taking taylor expansion of y in y 1.400 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in y 1.400 * [taylor]: Taking taylor expansion of -1 in y 1.400 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.400 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.400 * [taylor]: Taking taylor expansion of 3 in y 1.400 * [taylor]: Taking taylor expansion of y in y 1.402 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.402 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 1.402 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.402 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.402 * [taylor]: Taking taylor expansion of 3 in y 1.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.402 * [taylor]: Taking taylor expansion of y in y 1.402 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.402 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.402 * [taylor]: Taking taylor expansion of 3 in y 1.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.402 * [taylor]: Taking taylor expansion of y in y 1.403 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.403 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.403 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.403 * [taylor]: Taking taylor expansion of 3 in y 1.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.403 * [taylor]: Taking taylor expansion of y in y 1.403 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.403 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.403 * [taylor]: Taking taylor expansion of 3 in y 1.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.403 * [taylor]: Taking taylor expansion of y in y 1.405 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.405 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.405 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.405 * [taylor]: Taking taylor expansion of 3 in y 1.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.405 * [taylor]: Taking taylor expansion of y in y 1.405 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.405 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.405 * [taylor]: Taking taylor expansion of 3 in y 1.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.405 * [taylor]: Taking taylor expansion of y in y 1.406 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.406 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.406 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.406 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.406 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.406 * [taylor]: Taking taylor expansion of 3 in y 1.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.407 * [taylor]: Taking taylor expansion of y in y 1.407 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.407 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.407 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.407 * [taylor]: Taking taylor expansion of 3 in y 1.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.407 * [taylor]: Taking taylor expansion of y in y 1.409 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.409 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.410 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.410 * [taylor]: Taking taylor expansion of 3 in y 1.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.410 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.410 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.410 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.410 * [taylor]: Taking taylor expansion of 3 in y 1.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.410 * [taylor]: Taking taylor expansion of y in y 1.413 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.413 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.413 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.413 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.413 * [taylor]: Taking taylor expansion of 3 in y 1.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.413 * [taylor]: Taking taylor expansion of y in y 1.413 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.413 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.413 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.413 * [taylor]: Taking taylor expansion of 3 in y 1.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.413 * [taylor]: Taking taylor expansion of y in y 1.416 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.416 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.416 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.416 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.416 * [taylor]: Taking taylor expansion of 3 in x 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.416 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.416 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.416 * [taylor]: Taking taylor expansion of 3 in y 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.416 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.416 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.416 * [taylor]: Taking taylor expansion of 3 in y 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of 0 in x 1.417 * [taylor]: Taking taylor expansion of 3 in x 1.417 * [taylor]: Taking taylor expansion of 0 in x 1.418 * [taylor]: Taking taylor expansion of 0 in x 1.418 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.418 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.418 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.418 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.418 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.418 * [taylor]: Taking taylor expansion of 3 in x 1.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.418 * [taylor]: Taking taylor expansion of y in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.419 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.419 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.419 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.419 * [taylor]: Taking taylor expansion of 3 in y 1.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.419 * [taylor]: Taking taylor expansion of y in y 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.419 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.419 * [taylor]: Taking taylor expansion of x in y 1.419 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.419 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.419 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.419 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.419 * [taylor]: Taking taylor expansion of 3 in y 1.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.419 * [taylor]: Taking taylor expansion of y in y 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.419 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.419 * [taylor]: Taking taylor expansion of x in y 1.420 * [taylor]: Taking taylor expansion of 3 in x 1.420 * [taylor]: Taking taylor expansion of 0 in x 1.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of 0 in x 1.421 * [taylor]: Taking taylor expansion of 0 in x 1.422 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.422 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.422 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.422 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.422 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.422 * [taylor]: Taking taylor expansion of 3 in x 1.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.422 * [taylor]: Taking taylor expansion of y in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.422 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.422 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.422 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.422 * [taylor]: Taking taylor expansion of 3 in y 1.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.422 * [taylor]: Taking taylor expansion of y in y 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.423 * [taylor]: Taking taylor expansion of x in y 1.423 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.423 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.423 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.423 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.423 * [taylor]: Taking taylor expansion of 3 in y 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.423 * [taylor]: Taking taylor expansion of x in y 1.423 * [taylor]: Taking taylor expansion of 3 in x 1.424 * [taylor]: Taking taylor expansion of 0 in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of 0 in x 1.425 * [taylor]: Taking taylor expansion of 0 in x 1.426 * * * [progress]: simplifying candidates 1.427 * [simplify]: Simplifying using # : (* (cbrt 3) y) (+ (log (cbrt 3)) (log y)) (log (* (cbrt 3) y)) (exp (* (cbrt 3) y)) (* 3 (* (* y y) y)) (* (cbrt (* (cbrt 3) y)) (cbrt (* (cbrt 3) y))) (cbrt (* (cbrt 3) y)) (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (cbrt 3) (* (cbrt y) (cbrt y))) (* (cbrt 3) (sqrt y)) (* (cbrt 3) 1) (* (cbrt (cbrt 3)) y) (* (cbrt (sqrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (+ (+ (log (cbrt 3)) (log y)) (log y)) (+ (log (* (cbrt 3) y)) (log y)) (log (* (* (cbrt 3) y) y)) (exp (* (* (cbrt 3) y) y)) (* (* 3 (* (* y y) y)) (* (* y y) y)) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (* (* y y) y)) (* (cbrt (* (* (cbrt 3) y) y)) (cbrt (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) y) y)) (* (* (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y)) (sqrt (* (* (cbrt 3) y) y)) (sqrt (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) (* (cbrt y) (cbrt y))) (* (* (cbrt 3) y) (sqrt y)) (* (* (cbrt 3) y) 1) (* y y) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (+ (log (cbrt 3)) (log y)) (log y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (* (cbrt 3) y)) (log y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (log (* (* (cbrt 3) y) y))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (+ (log (cbrt 3)) (log y)) (log y))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (* (cbrt 3) y)) (log y))) (+ (log (* (cbrt 3) (cbrt 3))) (log (* (* (cbrt 3) y) y))) (log (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (exp (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* 3 3) (* (* 3 (* (* y y) y)) (* (* y y) y))) (* (* 3 3) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (* (* y y) y))) (* (* 3 3) (* (* (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* 3 (* (* y y) y)) (* (* y y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (* (* y y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y))) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) y)) (* (cbrt 3) (* (* (cbrt 3) y) y)) (* (exp (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (exp (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (* (* (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) 3) (pow (* x x) 3)) (+ (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (- (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* x x) (* x x))) (- (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) (* (cbrt 3) y) (* (cbrt 3) y) (* (cbrt 3) y) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* 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))) 1.432 * * [simplify]: iteration 0 : 304 enodes (cost 633 ) 1.439 * * [simplify]: iteration 1 : 1584 enodes (cost 536 ) 1.475 * * [simplify]: iteration 2 : 5001 enodes (cost 433 ) 1.477 * [simplify]: Simplified to: (* (cbrt 3) y) (log (* (cbrt 3) y)) (log (* (cbrt 3) y)) (exp (* (cbrt 3) y)) (* (pow y 3) 3) (* (cbrt (* (cbrt 3) y)) (cbrt (* (cbrt 3) y))) (cbrt (* (cbrt 3) y)) (* (pow y 3) 3) (sqrt (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (cbrt 3) (* (cbrt y) (cbrt y))) (* (cbrt 3) (sqrt y)) (cbrt 3) (* (cbrt (cbrt 3)) y) (* (cbrt (sqrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (log (* (* (cbrt 3) y) y)) (log (* (* (cbrt 3) y) y)) (log (* (* (cbrt 3) y) y)) (exp (* (* (cbrt 3) y) y)) (* (pow y 6) 3) (* (pow y 6) 3) (* (cbrt (* (* (cbrt 3) y) y)) (cbrt (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) y) y)) (* (pow y 6) 3) (sqrt (* (* (cbrt 3) y) y)) (sqrt (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) (* (cbrt y) (cbrt y))) (* (* (cbrt 3) y) (sqrt y)) (* (cbrt 3) y) (pow y 2) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (pow (exp (pow (cbrt 3) 3)) (pow y 2)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* 27 (pow y 6)) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* 3 y) (* (* (cbrt 3) y) (* (cbrt 3) y)) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (pow (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) 3) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) 3) (pow (* x x) 3)) (+ (pow x 4) (- (* (pow (* (cbrt 3) (cbrt 3)) 3) (* (pow y 2) (pow y 2))) (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (+ (* (neg (pow x 3)) x) (* (cbrt 3) (* (pow (cbrt 3) 3) (* (* (* (cbrt 3) y) (cbrt 3)) (pow y 3))))) (- (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) (* (cbrt 3) y) (* (cbrt 3) y) (* (cbrt 3) y) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (* 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))) 1.478 * * * [progress]: adding candidates to table 1.587 * [progress]: [Phase 3 of 3] Extracting. 1.587 * * [regime]: Finding splitpoints for: (# # # # #) 1.588 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.588 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.628 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.658 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.699 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.740 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.782 * * * [regime]: Found split indices: #