26.610 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.075 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.078 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.080 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.081 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.083 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.084 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.086 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.087 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.089 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.091 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.093 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.096 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.101 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.128 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.351 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.353 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.357 * * [progress]: iteration 1 / 4 0.357 * * * [progress]: picking best candidate 0.359 * * * * [pick]: Picked # 0.359 * * * [progress]: localizing error 0.364 * * * [progress]: generating rewritten candidates 0.364 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.369 * * * [progress]: generating series expansions 0.369 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.370 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.370 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of 3 in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of 3 in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.371 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.371 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of 3 in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of 3 in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.372 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.372 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of 3 in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of 3 in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.373 * * * [progress]: simplifying candidates 0.373 * [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)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 0.375 * * [simplify]: iteration 0 : 86 enodes (cost 75 ) 0.377 * * [simplify]: iteration 1 : 288 enodes (cost 60 ) 0.382 * * [simplify]: iteration 2 : 1042 enodes (cost 57 ) 0.405 * * [simplify]: iteration 3 : 4457 enodes (cost 57 ) 0.562 * * [simplify]: iteration 4 : 5002 enodes (cost 57 ) 0.563 * [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)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) 0.565 * * * [progress]: adding candidates to table 0.588 * * [progress]: iteration 2 / 4 0.588 * * * [progress]: picking best candidate 0.595 * * * * [pick]: Picked # 0.595 * * * [progress]: localizing error 0.601 * * * [progress]: generating rewritten candidates 0.601 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.606 * * * [progress]: generating series expansions 0.606 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.606 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.606 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of 3 in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of 3 in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.607 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.607 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.607 * [taylor]: Taking taylor expansion of 3 in y 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.607 * [taylor]: Taking taylor expansion of 3 in y 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.608 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.608 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.608 * [taylor]: Taking taylor expansion of 3 in y 0.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.608 * [taylor]: Taking taylor expansion of 3 in y 0.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.609 * * * [progress]: simplifying candidates 0.609 * [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) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 0.612 * * [simplify]: iteration 0 : 95 enodes (cost 68 ) 0.614 * * [simplify]: iteration 1 : 465 enodes (cost 57 ) 0.625 * * [simplify]: iteration 2 : 2244 enodes (cost 54 ) 0.665 * * [simplify]: iteration 3 : 5001 enodes (cost 53 ) 0.666 * [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))) (* 3 (pow y 3/2)) (* 3 y) (pow y 2) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) 0.666 * * * [progress]: adding candidates to table 0.683 * * [progress]: iteration 3 / 4 0.683 * * * [progress]: picking best candidate 0.688 * * * * [pick]: Picked # 0.688 * * * [progress]: localizing error 0.695 * * * [progress]: generating rewritten candidates 0.695 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.700 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.704 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.716 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.726 * * * [progress]: generating series expansions 0.726 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.726 * [approximate]: Taking taylor expansion of (* (sqrt 3) y) in (y) around 0 0.726 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.726 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.726 * [taylor]: Taking taylor expansion of 3 in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.726 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.726 * [taylor]: Taking taylor expansion of 3 in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.727 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 0.727 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.727 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.727 * [taylor]: Taking taylor expansion of 3 in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.728 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.728 * [taylor]: Taking taylor expansion of 3 in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.729 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 0.729 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.729 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.729 * [taylor]: Taking taylor expansion of 3 in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.729 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.729 * [taylor]: Taking taylor expansion of 3 in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.730 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.730 * [approximate]: Taking taylor expansion of (* (sqrt 3) y) in (y) around 0 0.730 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.730 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.730 * [taylor]: Taking taylor expansion of 3 in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.730 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.730 * [taylor]: Taking taylor expansion of 3 in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.731 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 0.731 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.731 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.731 * [taylor]: Taking taylor expansion of 3 in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.731 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.731 * [taylor]: Taking taylor expansion of 3 in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.732 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 0.732 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.732 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.732 * [taylor]: Taking taylor expansion of 3 in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.732 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.732 * [taylor]: Taking taylor expansion of 3 in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.733 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.734 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.734 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.734 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.734 * [taylor]: Taking taylor expansion of 3 in y 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.734 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.734 * [taylor]: Taking taylor expansion of 3 in y 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.736 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.736 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.736 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.736 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.736 * [taylor]: Taking taylor expansion of 3 in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.736 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.736 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.736 * [taylor]: Taking taylor expansion of 3 in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.738 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.738 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.738 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.738 * [taylor]: Taking taylor expansion of 3 in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.738 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.738 * [taylor]: Taking taylor expansion of 3 in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.740 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.740 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.740 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.740 * [taylor]: Taking taylor expansion of 3 in y 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.740 * [taylor]: Taking taylor expansion of 3 in y 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.741 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.741 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of 3 in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of 3 in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.742 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.742 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.742 * [taylor]: Taking taylor expansion of 3 in y 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.742 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.742 * [taylor]: Taking taylor expansion of 3 in y 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.743 * * * [progress]: simplifying candidates 0.744 * [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) (sqrt (* y 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) (sqrt (* y 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) (sqrt 3)) (* (sqrt (* y y)) (sqrt (* y 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)) (* (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 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) (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)) (* (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)) 0.750 * * [simplify]: iteration 0 : 169 enodes (cost 344 ) 0.755 * * [simplify]: iteration 1 : 783 enodes (cost 285 ) 0.778 * * [simplify]: iteration 2 : 5001 enodes (cost 269 ) 0.780 * [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) (fabs 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) (fabs 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))) (* (pow y 6) 27) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (pow y 6) 27) (* (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 (pow y 2) (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)) (pow (sqrt (sqrt (* 3 (* y y)))) 3) (sqrt (* 3 (* y y))) (pow (cbrt (sqrt (* 3 (* y y)))) 4) (* (sqrt (* 3 (* y y))) (fabs 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))) (* (pow y 6) 27) (* (pow y 6) 27) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (pow y 6) 27) (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)) (* (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)) 0.781 * * * [progress]: adding candidates to table 0.876 * * [progress]: iteration 4 / 4 0.876 * * * [progress]: picking best candidate 0.885 * * * * [pick]: Picked # 0.885 * * * [progress]: localizing error 0.892 * * * [progress]: generating rewritten candidates 0.892 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.899 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.912 * * * [progress]: generating series expansions 0.912 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.913 * [approximate]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in (y) around 0 0.913 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in y 0.913 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.913 * [taylor]: Taking taylor expansion of 3 in y 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in y 0.913 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.913 * [taylor]: Taking taylor expansion of 3 in y 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.914 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in (y) around 0 0.914 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 0.914 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.914 * [taylor]: Taking taylor expansion of 3 in y 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 0.914 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.914 * [taylor]: Taking taylor expansion of 3 in y 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.916 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in (y) around 0 0.916 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 0.916 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.916 * [taylor]: Taking taylor expansion of 3 in y 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 0.916 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.916 * [taylor]: Taking taylor expansion of 3 in y 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.917 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.917 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.917 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.917 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.917 * [taylor]: Taking taylor expansion of 3 in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.917 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.917 * [taylor]: Taking taylor expansion of 3 in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.919 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.919 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.919 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.919 * [taylor]: Taking taylor expansion of 3 in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.920 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.920 * [taylor]: Taking taylor expansion of 3 in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.922 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.922 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.922 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.922 * [taylor]: Taking taylor expansion of 3 in y 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.922 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.922 * [taylor]: Taking taylor expansion of 3 in y 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.924 * * * [progress]: simplifying candidates 0.924 * [simplify]: Simplifying using # : (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (+ (log (sqrt 3)) (+ (log y) (log y))) (+ (log (sqrt 3)) (log (* y y))) (log (* (sqrt 3) (* y y))) (exp (* (sqrt 3) (* y y))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) y) (* (* y y) y))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) (* y y)) (* 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 (* (sqrt 3) (* y y))) (sqrt (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (cbrt (sqrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (log y) (log y)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (log (* y y)))) (+ (log (sqrt 3)) (log (* (sqrt 3) (* y y)))) (log (* (sqrt 3) (* (sqrt 3) (* y y)))) (exp (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) y) (* (* y y) y)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) (* y y)) (* y y)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y))) (* (sqrt 3) (* y y)))) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (sqrt 3) (sqrt 3)) (* (cbrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (pow y 2)) (* (sqrt 3) (pow y 2)) (* (sqrt 3) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) 0.928 * * [simplify]: iteration 0 : 155 enodes (cost 254 ) 0.932 * * [simplify]: iteration 1 : 608 enodes (cost 202 ) 0.944 * * [simplify]: iteration 2 : 2550 enodes (cost 196 ) 0.997 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.999 * [simplify]: Simplified to: (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (log (* (sqrt 3) (* y y))) (log (* (sqrt 3) (* y y))) (log (* (sqrt 3) (* y y))) (exp (* (sqrt 3) (* y y))) (pow (* (sqrt 3) (* y y)) 3) (pow (* (sqrt 3) (* y y)) 3) (* (cbrt (* (sqrt 3) (* y y))) (cbrt (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* y y))) (pow (* (sqrt 3) (* y y)) 3) (sqrt (* (sqrt 3) (* y y))) (sqrt (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (cbrt (sqrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (log 3) (log (pow y 2))) (+ (log 3) (log (pow y 2))) (+ (log 3) (log (pow y 2))) (+ (log 3) (log (pow y 2))) (pow (exp 3) (pow y 2)) (* (pow (pow y 2) 3) 27) (* (pow (pow y 2) 3) 27) (* (pow (pow y 2) 3) 27) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (pow (pow y 2) 3) 27) (fabs (* (sqrt 3) y)) (fabs (* (sqrt 3) y)) 3 (* (cbrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* y y))) (* (pow (sqrt 3) 3/2) (pow y 2)) (* 3 (pow y 2)) (* (pow (sqrt 3) 3/2) (pow y 2)) (* 3 (pow y 2)) (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 0.999 * * * [progress]: adding candidates to table 1.054 * [progress]: [Phase 3 of 3] Extracting. 1.054 * * [regime]: Finding splitpoints for: (# # # # # #) 1.055 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.055 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.096 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 1.133 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.177 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.229 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.280 * * * [regime]: Found split indices: #