17.870 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.028 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.030 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.031 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.032 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.034 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.035 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.037 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.039 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.041 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.044 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.050 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.081 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.309 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.310 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.315 * * [progress]: iteration 1 / 4 0.315 * * * [progress]: picking best candidate 0.318 * * * * [pick]: Picked # 0.318 * * * [progress]: localizing error 0.323 * * * [progress]: generating rewritten candidates 0.323 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.329 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.335 * * * [progress]: generating series expansions 0.335 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.335 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.335 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of 3 in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of 3 in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.346 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.346 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of 3 in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of 3 in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.360 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.360 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of 3 in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of 3 in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.371 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.371 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.371 * [taylor]: Taking taylor expansion of 3 in x 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.371 * [taylor]: Taking taylor expansion of x 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 0.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.372 * [taylor]: Taking taylor expansion of x 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 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of 0 in x 0.374 * [taylor]: Taking taylor expansion of 3 in x 0.376 * [taylor]: Taking taylor expansion of 0 in x 0.379 * [taylor]: Taking taylor expansion of 0 in x 0.380 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of 3 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.381 * [taylor]: Taking taylor expansion of 3 in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.382 * [taylor]: Taking taylor expansion of 3 in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of 3 in x 0.385 * [taylor]: Taking taylor expansion of 0 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of 0 in x 0.395 * [taylor]: Taking taylor expansion of 0 in x 0.397 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.398 * [taylor]: Taking taylor expansion of 3 in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.398 * [taylor]: Taking taylor expansion of x in y 0.398 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.398 * [taylor]: Taking taylor expansion of 3 in y 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.399 * [taylor]: Taking taylor expansion of 3 in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of 3 in x 0.403 * [taylor]: Taking taylor expansion of 0 in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 0 in x 0.412 * [taylor]: Taking taylor expansion of 0 in x 0.414 * * * [progress]: simplifying candidates 0.415 * [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))) 0.418 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.422 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.435 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.493 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.495 * [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))) 0.495 * * * [progress]: adding candidates to table 0.562 * * [progress]: iteration 2 / 4 0.562 * * * [progress]: picking best candidate 0.581 * * * * [pick]: Picked # 0.581 * * * [progress]: localizing error 0.587 * * * [progress]: generating rewritten candidates 0.587 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.592 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.597 * * * [progress]: generating series expansions 0.597 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.598 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.598 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.598 * [taylor]: Taking taylor expansion of 3 in y 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.598 * [taylor]: Taking taylor expansion of 3 in y 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.598 * [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 0.609 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.609 * [taylor]: Taking taylor expansion of 3 in y 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.619 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.619 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.619 * [taylor]: Taking taylor expansion of 3 in y 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.620 * [taylor]: Taking taylor expansion of 3 in y 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.630 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.630 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.630 * [taylor]: Taking taylor expansion of 3 in x 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.630 * [taylor]: Taking taylor expansion of 3 in y 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.630 * [taylor]: Taking taylor expansion of 3 in y 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of 0 in x 0.632 * [taylor]: Taking taylor expansion of 3 in x 0.635 * [taylor]: Taking taylor expansion of 0 in x 0.638 * [taylor]: Taking taylor expansion of 0 in x 0.638 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.639 * [taylor]: Taking taylor expansion of 3 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.640 * [taylor]: Taking taylor expansion of x in y 0.640 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.640 * [taylor]: Taking taylor expansion of 3 in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.640 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.640 * [taylor]: Taking taylor expansion of x in y 0.641 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.641 * [taylor]: Taking taylor expansion of 3 in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of 3 in x 0.644 * [taylor]: Taking taylor expansion of 0 in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of 0 in x 0.654 * [taylor]: Taking taylor expansion of 0 in x 0.656 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.656 * [taylor]: Taking taylor expansion of 3 in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.657 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.657 * [taylor]: Taking taylor expansion of 3 in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.658 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.658 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.658 * [taylor]: Taking taylor expansion of 3 in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of 3 in x 0.666 * [taylor]: Taking taylor expansion of 0 in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of 0 in x 0.676 * [taylor]: Taking taylor expansion of 0 in x 0.678 * * * [progress]: simplifying candidates 0.678 * [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))) 0.681 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.686 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.707 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.805 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.806 * [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))) 0.807 * * * [progress]: adding candidates to table 0.857 * * [progress]: iteration 3 / 4 0.857 * * * [progress]: picking best candidate 0.872 * * * * [pick]: Picked # 0.872 * * * [progress]: localizing error 0.881 * * * [progress]: generating rewritten candidates 0.881 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.887 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.899 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.913 * * * [progress]: generating series expansions 0.913 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.914 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 0.914 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.914 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.914 * [taylor]: Taking taylor expansion of 3 in y 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.915 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.915 * [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 0.933 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.934 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.934 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.934 * [taylor]: Taking taylor expansion of 3 in y 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.936 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.936 * [taylor]: Taking taylor expansion of 3 in y 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.957 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.957 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.957 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.957 * [taylor]: Taking taylor expansion of 3 in y 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.959 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.959 * [taylor]: Taking taylor expansion of 3 in y 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.976 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.978 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.978 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.978 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.978 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.978 * [taylor]: Taking taylor expansion of 3 in y 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.979 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.979 * [taylor]: Taking taylor expansion of 3 in y 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.980 * [taylor]: Taking taylor expansion of y in y 1.012 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.012 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.012 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.012 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.012 * [taylor]: Taking taylor expansion of 3 in y 1.013 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.018 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.018 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.018 * [taylor]: Taking taylor expansion of 3 in y 1.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.055 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.055 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.055 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.055 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.055 * [taylor]: Taking taylor expansion of 3 in y 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.061 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.061 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.061 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.061 * [taylor]: Taking taylor expansion of 3 in y 1.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.062 * [taylor]: Taking taylor expansion of y in y 1.090 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.092 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.092 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.092 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.092 * [taylor]: Taking taylor expansion of 3 in x 1.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.093 * [taylor]: Taking taylor expansion of y in x 1.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.093 * [taylor]: Taking taylor expansion of x in y 1.093 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.093 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.093 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.093 * [taylor]: Taking taylor expansion of 3 in y 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.094 * [taylor]: Taking taylor expansion of x in y 1.094 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.094 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.094 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.094 * [taylor]: Taking taylor expansion of 3 in y 1.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.095 * [taylor]: Taking taylor expansion of y in y 1.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of 0 in x 1.101 * [taylor]: Taking taylor expansion of 3 in x 1.105 * [taylor]: Taking taylor expansion of 0 in x 1.117 * [taylor]: Taking taylor expansion of 0 in x 1.119 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.119 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.119 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.119 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.119 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.119 * [taylor]: Taking taylor expansion of 3 in x 1.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.124 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.124 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.124 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.124 * [taylor]: Taking taylor expansion of 3 in y 1.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.125 * [taylor]: Taking taylor expansion of y in y 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.130 * [taylor]: Taking taylor expansion of x in y 1.130 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.130 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.130 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.130 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.130 * [taylor]: Taking taylor expansion of 3 in y 1.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.136 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.136 * [taylor]: Taking taylor expansion of x in y 1.136 * [taylor]: Taking taylor expansion of 3 in x 1.139 * [taylor]: Taking taylor expansion of 0 in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of 0 in x 1.155 * [taylor]: Taking taylor expansion of 0 in x 1.158 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.158 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.158 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.158 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.158 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.158 * [taylor]: Taking taylor expansion of 3 in x 1.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.159 * [taylor]: Taking taylor expansion of y in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.163 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.163 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.163 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.163 * [taylor]: Taking taylor expansion of 3 in y 1.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.169 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.169 * [taylor]: Taking taylor expansion of x in y 1.169 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.169 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.169 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.169 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.169 * [taylor]: Taking taylor expansion of 3 in y 1.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.174 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.174 * [taylor]: Taking taylor expansion of x in y 1.175 * [taylor]: Taking taylor expansion of 3 in x 1.178 * [taylor]: Taking taylor expansion of 0 in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of 0 in x 1.193 * [taylor]: Taking taylor expansion of 0 in x 1.201 * * * [progress]: simplifying candidates 1.202 * [simplify]: Simplifying using # : (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (+ (log (cbrt 3)) (+ (log y) (log y))) (+ (log (cbrt 3)) (log (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* 3 (* (* (* y y) y) (* (* y y) y))) (* 3 (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (log (* (cbrt 3) (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (log (* (cbrt 3) (* y y)))) (log (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* 3 3) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* 3 3) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* 3 3) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (cbrt 3)) (* (cbrt 3) (* (cbrt 3) (* y y))) (* (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (* (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* x x) (* x x))) (- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.207 * * [simplify]: iteration 0 : 263 enodes (cost 553 ) 1.212 * * [simplify]: iteration 1 : 1076 enodes (cost 421 ) 1.240 * * [simplify]: iteration 2 : 5001 enodes (cost 365 ) 1.242 * [simplify]: Simplified to: (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* (pow y 6) 3) (* (pow y 6) 3) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (pow y 6) 3) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (pow (exp (* (pow (cbrt 3) 3) y)) y) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* 27 (pow y 6)) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) 3 (* (cbrt 3) (* (cbrt 3) (* y y))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (pow (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) 3) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (+ (* (pow y 4) (pow (* (cbrt 3) (cbrt 3)) 3)) (* -3 (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (pow (* (cbrt 3) (cbrt 3)) 3) (* (* y y) (* y y)))) (+ (* (* (pow (cbrt 3) 3) y) y) (neg (pow x 2))) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.243 * * * [progress]: adding candidates to table 1.383 * * [progress]: iteration 4 / 4 1.383 * * * [progress]: picking best candidate 1.394 * * * * [pick]: Picked # 1.394 * * * [progress]: localizing error 1.403 * * * [progress]: generating rewritten candidates 1.403 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.408 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.419 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.424 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.438 * * * [progress]: generating series expansions 1.438 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.439 * [approximate]: Taking taylor expansion of (* (cbrt 3) y) in (y) around 0 1.439 * [taylor]: Taking taylor expansion of (* (cbrt 3) y) in y 1.439 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.439 * [taylor]: Taking taylor expansion of 3 in y 1.440 * [taylor]: Taking taylor expansion of y in y 1.440 * [taylor]: Taking taylor expansion of (* (cbrt 3) y) in y 1.440 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.440 * [taylor]: Taking taylor expansion of 3 in y 1.441 * [taylor]: Taking taylor expansion of y in y 1.461 * [approximate]: Taking taylor expansion of (/ (cbrt 3) y) in (y) around 0 1.461 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.461 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.461 * [taylor]: Taking taylor expansion of 3 in y 1.462 * [taylor]: Taking taylor expansion of y in y 1.463 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.463 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.463 * [taylor]: Taking taylor expansion of 3 in y 1.463 * [taylor]: Taking taylor expansion of y in y 1.475 * [approximate]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in (y) around 0 1.475 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in y 1.475 * [taylor]: Taking taylor expansion of -1 in y 1.475 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.475 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.475 * [taylor]: Taking taylor expansion of 3 in y 1.476 * [taylor]: Taking taylor expansion of y in y 1.476 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in y 1.476 * [taylor]: Taking taylor expansion of -1 in y 1.477 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 1.477 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.477 * [taylor]: Taking taylor expansion of 3 in y 1.477 * [taylor]: Taking taylor expansion of y in y 1.495 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.497 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.497 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.497 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.497 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.497 * [taylor]: Taking taylor expansion of 3 in y 1.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.498 * [taylor]: Taking taylor expansion of y in y 1.498 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.498 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.498 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.498 * [taylor]: Taking taylor expansion of 3 in y 1.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.499 * [taylor]: Taking taylor expansion of y in y 1.539 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.539 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.539 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.539 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.539 * [taylor]: Taking taylor expansion of 3 in y 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.540 * [taylor]: Taking taylor expansion of y in y 1.545 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.545 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.545 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.545 * [taylor]: Taking taylor expansion of 3 in y 1.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.546 * [taylor]: Taking taylor expansion of y in y 1.577 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.577 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.577 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.577 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.577 * [taylor]: Taking taylor expansion of 3 in y 1.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.578 * [taylor]: Taking taylor expansion of y in y 1.583 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.583 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.583 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.583 * [taylor]: Taking taylor expansion of 3 in y 1.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.584 * [taylor]: Taking taylor expansion of y in y 1.613 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.614 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 1.614 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.614 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.614 * [taylor]: Taking taylor expansion of 3 in y 1.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.615 * [taylor]: Taking taylor expansion of y in y 1.615 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.615 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.615 * [taylor]: Taking taylor expansion of 3 in y 1.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.616 * [taylor]: Taking taylor expansion of y in y 1.639 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.640 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.640 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.640 * [taylor]: Taking taylor expansion of 3 in y 1.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.640 * [taylor]: Taking taylor expansion of y in y 1.642 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.642 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.642 * [taylor]: Taking taylor expansion of 3 in y 1.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.643 * [taylor]: Taking taylor expansion of y in y 1.658 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.658 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.659 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.659 * [taylor]: Taking taylor expansion of 3 in y 1.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.659 * [taylor]: Taking taylor expansion of y in y 1.661 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.661 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.661 * [taylor]: Taking taylor expansion of 3 in y 1.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.678 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.680 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.680 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.680 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.680 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.680 * [taylor]: Taking taylor expansion of 3 in x 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.681 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.681 * [taylor]: Taking taylor expansion of x in y 1.681 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.681 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.681 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.681 * [taylor]: Taking taylor expansion of 3 in y 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.682 * [taylor]: Taking taylor expansion of y in y 1.682 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.682 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.682 * [taylor]: Taking taylor expansion of x in y 1.682 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.682 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.682 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.682 * [taylor]: Taking taylor expansion of 3 in y 1.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.683 * [taylor]: Taking taylor expansion of y in y 1.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of 0 in x 1.689 * [taylor]: Taking taylor expansion of 3 in x 1.693 * [taylor]: Taking taylor expansion of 0 in x 1.699 * [taylor]: Taking taylor expansion of 0 in x 1.707 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.707 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.707 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.707 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.707 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.707 * [taylor]: Taking taylor expansion of 3 in x 1.708 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.708 * [taylor]: Taking taylor expansion of y in x 1.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.712 * [taylor]: Taking taylor expansion of x in x 1.713 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.713 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.713 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.713 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.713 * [taylor]: Taking taylor expansion of 3 in y 1.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.714 * [taylor]: Taking taylor expansion of y in y 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.718 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.718 * [taylor]: Taking taylor expansion of x in y 1.718 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.718 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.718 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.718 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.718 * [taylor]: Taking taylor expansion of 3 in y 1.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.719 * [taylor]: Taking taylor expansion of y in y 1.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.724 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.724 * [taylor]: Taking taylor expansion of x in y 1.724 * [taylor]: Taking taylor expansion of 3 in x 1.727 * [taylor]: Taking taylor expansion of 0 in x 1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.736 * [taylor]: Taking taylor expansion of 0 in x 1.743 * [taylor]: Taking taylor expansion of 0 in x 1.746 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.746 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.746 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.746 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.746 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.746 * [taylor]: Taking taylor expansion of 3 in x 1.747 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.747 * [taylor]: Taking taylor expansion of y in x 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.751 * [taylor]: Taking taylor expansion of x in x 1.752 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.752 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.752 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.752 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.752 * [taylor]: Taking taylor expansion of 3 in y 1.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.753 * [taylor]: Taking taylor expansion of y in y 1.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.757 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.757 * [taylor]: Taking taylor expansion of x in y 1.757 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.757 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.757 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.757 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.757 * [taylor]: Taking taylor expansion of 3 in y 1.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.758 * [taylor]: Taking taylor expansion of y in y 1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.763 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.763 * [taylor]: Taking taylor expansion of x in y 1.763 * [taylor]: Taking taylor expansion of 3 in x 1.766 * [taylor]: Taking taylor expansion of 0 in x 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.775 * [taylor]: Taking taylor expansion of 0 in x 1.782 * [taylor]: Taking taylor expansion of 0 in x 1.783 * * * [progress]: simplifying candidates 1.790 * [simplify]: Simplifying using # : (* (cbrt 3) y) (+ (log (cbrt 3)) (log y)) (log (* (cbrt 3) y)) (exp (* (cbrt 3) y)) (* 3 (* (* y y) y)) (* (cbrt (* (cbrt 3) y)) (cbrt (* (cbrt 3) y))) (cbrt (* (cbrt 3) y)) (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (cbrt 3) (* (cbrt y) (cbrt y))) (* (cbrt 3) (sqrt y)) (* (cbrt 3) 1) (* (cbrt (cbrt 3)) y) (* (cbrt (sqrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (+ (log (cbrt 3)) (log y)) (log y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (* (cbrt 3) y)) (log y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (log (* (* (cbrt 3) y) y))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (+ (log (cbrt 3)) (log y)) (log y))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (* (cbrt 3) y)) (log y))) (+ (log (* (cbrt 3) (cbrt 3))) (log (* (* (cbrt 3) y) y))) (log (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (exp (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* 3 3) (* (* 3 (* (* y y) y)) (* (* y y) y))) (* (* 3 3) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (* (* y y) y))) (* (* 3 3) (* (* (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* 3 (* (* y y) y)) (* (* y y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (* (* y y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y))) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) y)) (* (cbrt 3) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (+ (+ (log (cbrt 3)) (log y)) (log y)) (+ (log (* (cbrt 3) y)) (log y)) (log (* (* (cbrt 3) y) y)) (exp (* (* (cbrt 3) y) y)) (* (* 3 (* (* y y) y)) (* (* y y) y)) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (* (* y y) y)) (* (cbrt (* (* (cbrt 3) y) y)) (cbrt (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) y) y)) (* (* (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y)) (sqrt (* (* (cbrt 3) y) y)) (sqrt (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) (* (cbrt y) (cbrt y))) (* (* (cbrt 3) y) (sqrt y)) (* (* (cbrt 3) y) 1) (* y y) (* (exp (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (exp (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (* (* (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) 3) (pow (* x x) 3)) (+ (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (- (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* x x) (* x x))) (- (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) (* (cbrt 3) y) (* (cbrt 3) y) (* (cbrt 3) y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.796 * * [simplify]: iteration 0 : 304 enodes (cost 633 ) 1.804 * * [simplify]: iteration 1 : 1584 enodes (cost 536 ) 1.843 * * [simplify]: iteration 2 : 5002 enodes (cost 433 ) 1.846 * [simplify]: Simplified to: (* (cbrt 3) y) (log (* (cbrt 3) y)) (log (* (cbrt 3) y)) (exp (* (cbrt 3) y)) (* (pow y 3) 3) (* (cbrt (* (cbrt 3) y)) (cbrt (* (cbrt 3) y))) (cbrt (* (cbrt 3) y)) (* (pow y 3) 3) (sqrt (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (cbrt 3) (* (cbrt y) (cbrt y))) (* (cbrt 3) (sqrt y)) (cbrt 3) (* (cbrt (cbrt 3)) y) (* (cbrt (sqrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (pow (exp (pow (cbrt 3) 3)) (pow y 2)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* 27 (pow y 6)) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* 3 y) (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (log (* (* (cbrt 3) y) y)) (log (* (* (cbrt 3) y) y)) (log (* (* (cbrt 3) y) y)) (exp (* (* (cbrt 3) y) y)) (* (pow y 6) 3) (* (pow y 6) 3) (* (cbrt (* (* (cbrt 3) y) y)) (cbrt (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) y) y)) (* (pow y 6) 3) (sqrt (* (* (cbrt 3) y) y)) (sqrt (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) (* (cbrt y) (cbrt y))) (* (* (cbrt 3) y) (sqrt y)) (* (cbrt 3) y) (pow y 2) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (pow (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) 3) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) 3) (pow (* x x) 3)) (+ (pow x 4) (- (* (pow (* (cbrt 3) (cbrt 3)) 3) (* (pow y 2) (pow y 2))) (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (+ (* (neg (pow x 3)) x) (* (cbrt 3) (* (pow (cbrt 3) 3) (* (* (* (cbrt 3) y) (cbrt 3)) (pow y 3))))) (- (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) (* (cbrt 3) y) (* (cbrt 3) y) (* (cbrt 3) y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.846 * * * [progress]: adding candidates to table 2.087 * [progress]: [Phase 3 of 3] Extracting. 2.087 * * [regime]: Finding splitpoints for: (# # # # # #) 2.088 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 2.088 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.136 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 2.185 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.231 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.280 * * * [regime]: Found split indices: #