29.807 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.131 * * * [progress]: [2/2] Setting up program. 0.134 * [progress]: [Phase 2 of 3] Improving. 0.134 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.136 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.138 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.139 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.140 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.141 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.143 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.145 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.147 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.149 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.152 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.159 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.187 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.410 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.412 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.415 * * [progress]: iteration 1 / 4 0.415 * * * [progress]: picking best candidate 0.420 * * * * [pick]: Picked # 0.420 * * * [progress]: localizing error 0.426 * * * [progress]: generating rewritten candidates 0.426 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.431 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.437 * * * [progress]: generating series expansions 0.437 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.437 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.437 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of 3 in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of 3 in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.438 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.438 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.438 * [taylor]: Taking taylor expansion of 3 in y 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.438 * [taylor]: Taking taylor expansion of 3 in y 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.439 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.439 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of 3 in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of 3 in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.440 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of 3 in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of 3 in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of 3 in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of 0 in x 0.440 * [taylor]: Taking taylor expansion of 3 in x 0.440 * [taylor]: Taking taylor expansion of 0 in x 0.441 * [taylor]: Taking taylor expansion of 0 in x 0.441 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of 3 in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.441 * [taylor]: Taking taylor expansion of 3 in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.442 * [taylor]: Taking taylor expansion of 3 in y 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of 3 in x 0.442 * [taylor]: Taking taylor expansion of 0 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of 0 in x 0.443 * [taylor]: Taking taylor expansion of 0 in x 0.443 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of 3 in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.443 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.444 * [taylor]: Taking taylor expansion of 3 in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.444 * [taylor]: Taking taylor expansion of 3 in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of 3 in x 0.444 * [taylor]: Taking taylor expansion of 0 in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of 0 in x 0.445 * [taylor]: Taking taylor expansion of 0 in x 0.445 * * * [progress]: simplifying candidates 0.446 * [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))) 0.449 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.452 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.464 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.518 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.520 * [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))) 0.520 * * * [progress]: adding candidates to table 0.561 * * [progress]: iteration 2 / 4 0.561 * * * [progress]: picking best candidate 0.575 * * * * [pick]: Picked # 0.575 * * * [progress]: localizing error 0.580 * * * [progress]: generating rewritten candidates 0.580 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.585 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.590 * * * [progress]: generating series expansions 0.590 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.590 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.590 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.590 * [taylor]: Taking taylor expansion of 3 in y 0.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.590 * [taylor]: Taking taylor expansion of 3 in y 0.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.591 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.591 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.591 * [taylor]: Taking taylor expansion of 3 in y 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.591 * [taylor]: Taking taylor expansion of 3 in y 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.592 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.592 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of 3 in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of 3 in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.593 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.593 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.593 * [taylor]: Taking taylor expansion of 3 in x 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.593 * [taylor]: Taking taylor expansion of x in y 0.593 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.593 * [taylor]: Taking taylor expansion of 3 in y 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.593 * [taylor]: Taking taylor expansion of x in y 0.593 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.593 * [taylor]: Taking taylor expansion of 3 in y 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of 0 in x 0.594 * [taylor]: Taking taylor expansion of 3 in x 0.594 * [taylor]: Taking taylor expansion of 0 in x 0.594 * [taylor]: Taking taylor expansion of 0 in x 0.594 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.594 * [taylor]: Taking taylor expansion of 3 in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.595 * [taylor]: Taking taylor expansion of 3 in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.595 * [taylor]: Taking taylor expansion of 3 in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of 3 in x 0.595 * [taylor]: Taking taylor expansion of 0 in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of 0 in x 0.598 * [taylor]: Taking taylor expansion of 0 in x 0.598 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.598 * [taylor]: Taking taylor expansion of 3 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of 3 in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of 3 in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of 3 in x 0.599 * [taylor]: Taking taylor expansion of 0 in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of 0 in x 0.600 * [taylor]: Taking taylor expansion of 0 in x 0.601 * * * [progress]: simplifying candidates 0.601 * [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))) 0.604 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.608 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.628 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.723 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.724 * [simplify]: Simplified to: (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) 3) (* 3 y) (pow y 2) (exp (+ (* (* 3 y) y) (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (- (* (* 3 y) y) (* x x))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (* 9 (pow y 2)) (pow y 2))) (- (* (* 3 y) y) (* x x)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.724 * * * [progress]: adding candidates to table 0.754 * * [progress]: iteration 3 / 4 0.754 * * * [progress]: picking best candidate 0.768 * * * * [pick]: Picked # 0.769 * * * [progress]: localizing error 0.775 * * * [progress]: generating rewritten candidates 0.775 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.785 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.789 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.795 * * * [progress]: generating series expansions 0.795 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.795 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.795 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.795 * [taylor]: Taking taylor expansion of 3 in y 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.795 * [taylor]: Taking taylor expansion of 3 in x 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.795 * [taylor]: Taking taylor expansion of 3 in x 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.796 * [taylor]: Taking taylor expansion of 3 in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [taylor]: Taking taylor expansion of 1 in y 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.797 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.797 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.797 * [taylor]: Taking taylor expansion of x in y 0.797 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.797 * [taylor]: Taking taylor expansion of 3 in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.797 * [taylor]: Taking taylor expansion of 3 in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.797 * [taylor]: Taking taylor expansion of 3 in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.798 * [taylor]: Taking taylor expansion of 1 in y 0.798 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.798 * [taylor]: Taking taylor expansion of 3 in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.799 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.799 * [taylor]: Taking taylor expansion of x in y 0.800 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.800 * [taylor]: Taking taylor expansion of 3 in y 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.800 * [taylor]: Taking taylor expansion of 3 in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.800 * [taylor]: Taking taylor expansion of 3 in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of 1 in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.800 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.800 * [taylor]: Taking taylor expansion of 3 in y 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.802 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.802 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.802 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.802 * [taylor]: Taking taylor expansion of x in y 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.802 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.802 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [taylor]: Taking taylor expansion of 1 in y 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.803 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.803 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.803 * [taylor]: Taking taylor expansion of y in x 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.803 * [taylor]: Taking taylor expansion of y in x 0.803 * [taylor]: Taking taylor expansion of 1 in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.804 * [taylor]: Taking taylor expansion of y in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.805 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.805 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.805 * [taylor]: Taking taylor expansion of x in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of 1 in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.807 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.807 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.807 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.807 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of 2 in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.807 * [taylor]: Taking taylor expansion of 2 in x 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.807 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.807 * [taylor]: Taking taylor expansion of 2 in x 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.807 * [taylor]: Taking taylor expansion of y in x 0.807 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of 2 in y 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.808 * [taylor]: Taking taylor expansion of 1 in y 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.809 * [taylor]: Taking taylor expansion of x in y 0.809 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.809 * [taylor]: Taking taylor expansion of 2 in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.809 * [taylor]: Taking taylor expansion of 2 in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.809 * [taylor]: Taking taylor expansion of 2 in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.810 * [taylor]: Taking taylor expansion of 1 in y 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.810 * [taylor]: Taking taylor expansion of 2 in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.811 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.811 * [taylor]: Taking taylor expansion of x in y 0.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.811 * [taylor]: Taking taylor expansion of 2 in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.812 * [taylor]: Taking taylor expansion of 2 in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.812 * [taylor]: Taking taylor expansion of 2 in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of 1 in y 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.812 * [taylor]: Taking taylor expansion of 2 in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of 0 in y 0.813 * [taylor]: Taking taylor expansion of 0 in y 0.813 * * * [progress]: simplifying candidates 0.814 * [simplify]: Simplifying using # : (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.818 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 0.823 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 0.841 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 0.936 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 0.938 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (+ (+ (* x x) (* y y)) (* y (+ y y))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (pow y 4) (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (pow x 2) (pow y 2)) (* y (+ y y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (exp (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (pow x 2) (* y (+ y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (+ (pow x 2) (* y (+ y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (pow x 2) (+ (* x x) (* y y))) (pow y 4)) (* (pow x 2) (+ (pow x 2) (* y (+ y y)))) (pow x 2) (* y (+ y y)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) 0.938 * * * [progress]: adding candidates to table 0.985 * * [progress]: iteration 4 / 4 0.985 * * * [progress]: picking best candidate 0.997 * * * * [pick]: Picked # 0.997 * * * [progress]: localizing error 1.005 * * * [progress]: generating rewritten candidates 1.005 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.014 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 1.021 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.031 * * * [progress]: generating series expansions 1.031 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.031 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.031 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.031 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.031 * [taylor]: Taking taylor expansion of 3 in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.031 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.031 * [taylor]: Taking taylor expansion of 3 in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.033 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.033 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.033 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.033 * [taylor]: Taking taylor expansion of 3 in y 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.034 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.034 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.034 * [taylor]: Taking taylor expansion of 3 in y 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.035 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.036 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.036 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.036 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.036 * [taylor]: Taking taylor expansion of 3 in y 1.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.036 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.036 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.036 * [taylor]: Taking taylor expansion of 3 in y 1.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.038 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.038 * [approximate]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in (y) around 0 1.038 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.038 * [taylor]: Taking taylor expansion of 3 in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.038 * [taylor]: Taking taylor expansion of 3 in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.039 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in (y) around 0 1.039 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.039 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.039 * [taylor]: Taking taylor expansion of 3 in y 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.039 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.039 * [taylor]: Taking taylor expansion of 3 in y 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.040 * [taylor]: Taking taylor expansion of y in y 1.041 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in (y) around 0 1.041 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.041 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.041 * [taylor]: Taking taylor expansion of 3 in y 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.041 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.041 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.041 * [taylor]: Taking taylor expansion of 3 in y 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.042 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.042 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in x 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.042 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.042 * [taylor]: Taking taylor expansion of 3 in x 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.043 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.043 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.043 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.043 * [taylor]: Taking taylor expansion of 3 in y 1.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.043 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.043 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.043 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.043 * [taylor]: Taking taylor expansion of 3 in y 1.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of 0 in x 1.043 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.043 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.043 * [taylor]: Taking taylor expansion of 3 in x 1.044 * [taylor]: Taking taylor expansion of 0 in x 1.044 * [taylor]: Taking taylor expansion of 0 in x 1.044 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 1.044 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.044 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.044 * [taylor]: Taking taylor expansion of 3 in x 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.045 * [taylor]: Taking taylor expansion of y in x 1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.045 * [taylor]: Taking taylor expansion of x in y 1.045 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.045 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.045 * [taylor]: Taking taylor expansion of 3 in y 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.045 * [taylor]: Taking taylor expansion of x in y 1.045 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.045 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.045 * [taylor]: Taking taylor expansion of 3 in y 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.046 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.046 * [taylor]: Taking taylor expansion of 3 in x 1.046 * [taylor]: Taking taylor expansion of 0 in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of 0 in x 1.047 * [taylor]: Taking taylor expansion of 0 in x 1.048 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.048 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.048 * [taylor]: Taking taylor expansion of 3 in x 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.048 * [taylor]: Taking taylor expansion of x in y 1.048 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.048 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.048 * [taylor]: Taking taylor expansion of 3 in y 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.049 * [taylor]: Taking taylor expansion of x in y 1.049 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.049 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.049 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.049 * [taylor]: Taking taylor expansion of 3 in y 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.049 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.049 * [taylor]: Taking taylor expansion of 3 in x 1.049 * [taylor]: Taking taylor expansion of 0 in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of 0 in x 1.051 * [taylor]: Taking taylor expansion of 0 in x 1.051 * * * [progress]: simplifying candidates 1.052 * [simplify]: Simplifying using # : (* (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) (* 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)) (* (exp (* (sqrt 3) (* (sqrt 3) (* y y)))) (exp (* x x))) (log (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (exp (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (* (* (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)) (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (+ (pow (* (sqrt 3) (* (sqrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (- (* (* x x) (* x x)) (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)))) (- (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (* x x) (* x x))) (- (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (sqrt 3) (pow y 2)) (* (sqrt 3) (pow y 2)) (* (sqrt 3) (pow y 2)) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) 1.058 * * [simplify]: iteration 0 : 233 enodes (cost 391 ) 1.063 * * [simplify]: iteration 1 : 994 enodes (cost 310 ) 1.083 * * [simplify]: iteration 2 : 4280 enodes (cost 302 ) 1.195 * * [simplify]: iteration 3 : 5001 enodes (cost 298 ) 1.198 * [simplify]: Simplified to: (* 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 (* 3 (pow y 2)) 3) (pow (* 3 (pow y 2)) 3) (pow (* 3 (pow y 2)) 3) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (pow (* 3 (pow y 2)) 3) (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)) (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)) (exp (+ (* 3 (pow y 2)) (pow x 2))) (log (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (exp (+ (* 3 (pow y 2)) (pow x 2))) (* (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (+ (pow (* (sqrt 3) (* (sqrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (* (* 3 (pow y 2)) (- (* 3 (pow y 2)) (pow x 2))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* 9 (* (* y y) (* y y)))) (- (* 3 (pow y 2)) (pow x 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.198 * * * [progress]: adding candidates to table 1.276 * [progress]: [Phase 3 of 3] Extracting. 1.276 * * [regime]: Finding splitpoints for: (# # # # #) 1.277 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 1.277 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.319 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.355 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.396 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # #) 1.440 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.483 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.527 * * * [regime]: Found split indices: #