19.942 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.040 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.041 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.043 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.044 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.046 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.048 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.050 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.052 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.054 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.057 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.063 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.091 * * [simplify]: iteration 11 : 3197 enodes (cost 4 ) 0.317 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.318 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.320 * * [progress]: iteration 1 / 4 0.320 * * * [progress]: picking best candidate 0.322 * * * * [pick]: Picked # 0.322 * * * [progress]: localizing error 0.331 * * * [progress]: generating rewritten candidates 0.331 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.337 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.344 * * * [progress]: generating series expansions 0.344 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.344 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.344 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of 3 in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of 3 in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.352 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.352 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of 3 in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of 3 in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [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 0.369 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.369 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of 3 in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of 3 in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of 3 in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of 0 in x 0.371 * [taylor]: Taking taylor expansion of 3 in x 0.372 * [taylor]: Taking taylor expansion of 0 in x 0.375 * [taylor]: Taking taylor expansion of 0 in x 0.375 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.376 * [taylor]: Taking taylor expansion of 3 in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.376 * [taylor]: Taking taylor expansion of 3 in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.377 * [taylor]: Taking taylor expansion of 3 in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of 3 in x 0.379 * [taylor]: Taking taylor expansion of 0 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of 0 in x 0.387 * [taylor]: Taking taylor expansion of 0 in x 0.388 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.389 * [taylor]: Taking taylor expansion of 3 in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.389 * [taylor]: Taking taylor expansion of 3 in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.390 * [taylor]: Taking taylor expansion of x in y 0.390 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.390 * [taylor]: Taking taylor expansion of 3 in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of 3 in x 0.392 * [taylor]: Taking taylor expansion of 0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of 0 in x 0.400 * [taylor]: Taking taylor expansion of 0 in x 0.401 * * * [progress]: simplifying candidates 0.401 * [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))) 0.405 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.409 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.422 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.478 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.479 * [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)) (+ (pow x 4) (- (* 9 (pow y 4)) (* (* 3 (* y y)) (* x x)))) (+ (* (- (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))) 0.480 * * * [progress]: adding candidates to table 0.538 * * [progress]: iteration 2 / 4 0.538 * * * [progress]: picking best candidate 0.545 * * * * [pick]: Picked # 0.545 * * * [progress]: localizing error 0.551 * * * [progress]: generating rewritten candidates 0.551 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.598 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.613 * * * [progress]: generating series expansions 0.613 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.613 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.613 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.613 * [taylor]: Taking taylor expansion of 3 in y 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.613 * [taylor]: Taking taylor expansion of 3 in x 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.613 * [taylor]: Taking taylor expansion of y in x 0.613 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.613 * [taylor]: Taking taylor expansion of 3 in x 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.613 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of 3 in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [taylor]: Taking taylor expansion of 1 in y 0.619 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.623 * [taylor]: Taking taylor expansion of x in y 0.623 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.623 * [taylor]: Taking taylor expansion of 3 in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.624 * [taylor]: Taking taylor expansion of 3 in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.625 * [taylor]: Taking taylor expansion of 3 in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of 1 in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.627 * [taylor]: Taking taylor expansion of 3 in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.637 * [taylor]: Taking taylor expansion of 3 in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.638 * [taylor]: Taking taylor expansion of 3 in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.638 * [taylor]: Taking taylor expansion of y in x 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 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.638 * [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 in y 0.640 * [taylor]: Taking taylor expansion of 0 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 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.649 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.649 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.649 * [taylor]: Taking taylor expansion of x in y 0.649 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.649 * [taylor]: Taking taylor expansion of 2 in y 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.650 * [taylor]: Taking taylor expansion of 2 in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.650 * [taylor]: Taking taylor expansion of 2 in x 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.650 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.650 * [taylor]: Taking taylor expansion of 2 in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [taylor]: Taking taylor expansion of 1 in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 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 (* 2 (/ 1 (pow y 2))) in y 0.658 * [taylor]: Taking taylor expansion of 2 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 (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.659 * [taylor]: Taking taylor expansion of 2 in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.660 * [taylor]: Taking taylor expansion of 2 in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of 1 in y 0.662 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.663 * [taylor]: Taking taylor expansion of 2 in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.671 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.671 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.671 * [taylor]: Taking taylor expansion of 2 in y 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.672 * [taylor]: Taking taylor expansion of 2 in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.673 * [taylor]: Taking taylor expansion of 2 in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of 1 in y 0.675 * [taylor]: Taking taylor expansion of 0 in y 0.676 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.676 * [taylor]: Taking taylor expansion of 2 in y 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.684 * * * [progress]: simplifying candidates 0.685 * [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))) (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) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.689 * * [simplify]: iteration 0 : 166 enodes (cost 282 ) 0.694 * * [simplify]: iteration 1 : 781 enodes (cost 246 ) 0.710 * * [simplify]: iteration 2 : 3541 enodes (cost 225 ) 0.792 * * [simplify]: iteration 3 : 5001 enodes (cost 214 ) 0.793 * [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))) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (* x x) (* y y)) (* y (+ 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) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) 0.794 * * * [progress]: adding candidates to table 0.853 * * [progress]: iteration 3 / 4 0.853 * * * [progress]: picking best candidate 0.859 * * * * [pick]: Picked # 0.859 * * * [progress]: localizing error 0.865 * * * [progress]: generating rewritten candidates 0.865 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.872 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.879 * * * [progress]: generating series expansions 0.879 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.879 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.879 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.879 * [taylor]: Taking taylor expansion of 3 in y 0.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.879 * [taylor]: Taking taylor expansion of 3 in y 0.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.887 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.887 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.887 * [taylor]: Taking taylor expansion of 3 in y 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.888 * [taylor]: Taking taylor expansion of 3 in y 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.895 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.895 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.895 * [taylor]: Taking taylor expansion of 3 in y 0.895 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of 3 in y 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.903 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.903 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.904 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.904 * [taylor]: Taking taylor expansion of 3 in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.904 * [taylor]: Taking taylor expansion of x in y 0.904 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.904 * [taylor]: Taking taylor expansion of 3 in y 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.904 * [taylor]: Taking taylor expansion of x in y 0.904 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.904 * [taylor]: Taking taylor expansion of 3 in y 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of 0 in x 0.905 * [taylor]: Taking taylor expansion of 3 in x 0.907 * [taylor]: Taking taylor expansion of 0 in x 0.910 * [taylor]: Taking taylor expansion of 0 in x 0.910 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.911 * [taylor]: Taking taylor expansion of 3 in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.911 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.911 * [taylor]: Taking taylor expansion of x in y 0.911 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.911 * [taylor]: Taking taylor expansion of 3 in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.912 * [taylor]: Taking taylor expansion of x in y 0.912 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.912 * [taylor]: Taking taylor expansion of 3 in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of 3 in x 0.914 * [taylor]: Taking taylor expansion of 0 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of 0 in x 0.925 * [taylor]: Taking taylor expansion of 0 in x 0.926 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.927 * [taylor]: Taking taylor expansion of 3 in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.927 * [taylor]: Taking taylor expansion of y in x 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.927 * [taylor]: Taking taylor expansion of x in y 0.927 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.927 * [taylor]: Taking taylor expansion of 3 in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.928 * [taylor]: Taking taylor expansion of 3 in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of 3 in x 0.930 * [taylor]: Taking taylor expansion of 0 in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of 0 in x 0.938 * [taylor]: Taking taylor expansion of 0 in x 0.939 * * * [progress]: simplifying candidates 0.940 * [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))) 0.944 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.949 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.972 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 1.067 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 1.068 * [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)) (+ (* (- (pow x 3)) x) (* (* 9 (pow y 2)) (pow y 2))) (- (* (* 3 y) y) (* x x)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.068 * * * [progress]: adding candidates to table 1.119 * * [progress]: iteration 4 / 4 1.119 * * * [progress]: picking best candidate 1.123 * * * * [pick]: Picked # 1.124 * * * [progress]: localizing error 1.132 * * * [progress]: generating rewritten candidates 1.132 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.140 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.170 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.198 * * * [progress]: generating series expansions 1.198 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.199 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 1.199 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.199 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.199 * [taylor]: Taking taylor expansion of 3 in y 1.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.200 * [taylor]: Taking taylor expansion of y in y 1.200 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.200 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.200 * [taylor]: Taking taylor expansion of 3 in y 1.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.200 * [taylor]: Taking taylor expansion of y in y 1.213 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.213 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.213 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.213 * [taylor]: Taking taylor expansion of 3 in y 1.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.215 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.215 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.215 * [taylor]: Taking taylor expansion of 3 in y 1.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.215 * [taylor]: Taking taylor expansion of y in y 1.228 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.228 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.228 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.228 * [taylor]: Taking taylor expansion of 3 in y 1.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.229 * [taylor]: Taking taylor expansion of y in y 1.229 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.229 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.230 * [taylor]: Taking taylor expansion of 3 in y 1.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.230 * [taylor]: Taking taylor expansion of y in y 1.242 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.243 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.243 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.243 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.243 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.243 * [taylor]: Taking taylor expansion of 3 in y 1.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.244 * [taylor]: Taking taylor expansion of y in y 1.244 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.244 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.244 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.244 * [taylor]: Taking taylor expansion of 3 in y 1.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.272 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.272 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.272 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.272 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.272 * [taylor]: Taking taylor expansion of 3 in y 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.276 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.276 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.276 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.276 * [taylor]: Taking taylor expansion of 3 in y 1.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.277 * [taylor]: Taking taylor expansion of y in y 1.300 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.300 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.300 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.300 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.300 * [taylor]: Taking taylor expansion of 3 in y 1.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.300 * [taylor]: Taking taylor expansion of y in y 1.304 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.304 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.304 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.304 * [taylor]: Taking taylor expansion of 3 in y 1.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.329 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.330 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.330 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.331 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.331 * [taylor]: Taking taylor expansion of 3 in x 1.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.331 * [taylor]: Taking taylor expansion of y in x 1.331 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.331 * [taylor]: Taking taylor expansion of x in y 1.331 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.331 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.331 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.331 * [taylor]: Taking taylor expansion of 3 in y 1.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.332 * [taylor]: Taking taylor expansion of y in y 1.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.332 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.332 * [taylor]: Taking taylor expansion of x in y 1.332 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.332 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.332 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.332 * [taylor]: Taking taylor expansion of 3 in y 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of 0 in x 1.337 * [taylor]: Taking taylor expansion of 3 in x 1.340 * [taylor]: Taking taylor expansion of 0 in x 1.344 * [taylor]: Taking taylor expansion of 0 in x 1.345 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.345 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.345 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.346 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.346 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.346 * [taylor]: Taking taylor expansion of 3 in x 1.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.346 * [taylor]: Taking taylor expansion of y in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.349 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.349 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.349 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.349 * [taylor]: Taking taylor expansion of 3 in y 1.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.350 * [taylor]: Taking taylor expansion of y in y 1.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.353 * [taylor]: Taking taylor expansion of x in y 1.353 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.353 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.353 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.353 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.353 * [taylor]: Taking taylor expansion of 3 in y 1.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.354 * [taylor]: Taking taylor expansion of y in y 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.357 * [taylor]: Taking taylor expansion of x in y 1.358 * [taylor]: Taking taylor expansion of 3 in x 1.360 * [taylor]: Taking taylor expansion of 0 in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of 0 in x 1.371 * [taylor]: Taking taylor expansion of 0 in x 1.374 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.374 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.374 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.374 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.374 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.374 * [taylor]: Taking taylor expansion of 3 in x 1.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.375 * [taylor]: Taking taylor expansion of y in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.378 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.378 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.378 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.378 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.378 * [taylor]: Taking taylor expansion of 3 in y 1.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.379 * [taylor]: Taking taylor expansion of y in y 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.382 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.382 * [taylor]: Taking taylor expansion of x in y 1.382 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.382 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.382 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.382 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.382 * [taylor]: Taking taylor expansion of 3 in y 1.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.383 * [taylor]: Taking taylor expansion of y in y 1.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.386 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.386 * [taylor]: Taking taylor expansion of x in y 1.386 * [taylor]: Taking taylor expansion of 3 in x 1.388 * [taylor]: Taking taylor expansion of 0 in x 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of 0 in x 1.400 * [taylor]: Taking taylor expansion of 0 in x 1.402 * * * [progress]: simplifying candidates 1.402 * [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))) 1.410 * * [simplify]: iteration 0 : 263 enodes (cost 553 ) 1.416 * * [simplify]: iteration 1 : 1076 enodes (cost 421 ) 1.442 * * [simplify]: iteration 2 : 5001 enodes (cost 366 ) 1.444 * [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)) (+ (* (- (pow x 3)) x) (* (pow (* (cbrt 3) (cbrt 3)) 3) (* (* y y) (* y y)))) (+ (* (* (pow (cbrt 3) 3) y) y) (- (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))) 1.445 * * * [progress]: adding candidates to table 1.549 * [progress]: [Phase 3 of 3] Extracting. 1.549 * * [regime]: Finding splitpoints for: (# # # # #) 1.550 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 1.550 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.565 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.584 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # #) 1.601 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.622 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.639 * * * [regime]: Found split indices: #