23.170 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.022 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.023 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.025 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.026 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.028 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.029 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.031 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.033 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.035 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.038 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.043 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.068 * * [simplify]: iteration 11 : 3197 enodes (cost 4 ) 0.286 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.288 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.290 * * [progress]: iteration 1 / 4 0.290 * * * [progress]: picking best candidate 0.291 * * * * [pick]: Picked # 0.291 * * * [progress]: localizing error 0.297 * * * [progress]: generating rewritten candidates 0.297 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.303 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.310 * * * [progress]: generating series expansions 0.310 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.310 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.310 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of 3 in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of 3 in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.318 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.318 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of 3 in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of 3 in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.329 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.329 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of 3 in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of 3 in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.337 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.337 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.337 * [taylor]: Taking taylor expansion of 3 in x 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of 3 in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of 3 in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 0 in x 0.339 * [taylor]: Taking taylor expansion of 3 in x 0.340 * [taylor]: Taking taylor expansion of 0 in x 0.343 * [taylor]: Taking taylor expansion of 0 in x 0.343 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.344 * [taylor]: Taking taylor expansion of 3 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.344 * [taylor]: Taking taylor expansion of 3 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.345 * [taylor]: Taking taylor expansion of 3 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of 3 in x 0.347 * [taylor]: Taking taylor expansion of 0 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 0 in x 0.355 * [taylor]: Taking taylor expansion of 0 in x 0.356 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.357 * [taylor]: Taking taylor expansion of 3 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of 3 in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.358 * [taylor]: Taking taylor expansion of 3 in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 3 in x 0.360 * [taylor]: Taking taylor expansion of 0 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 0 in x 0.367 * [taylor]: Taking taylor expansion of 0 in x 0.369 * * * [progress]: simplifying candidates 0.369 * [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))) 0.373 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.377 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.389 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.444 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.445 * [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))) 0.445 * * * [progress]: adding candidates to table 0.498 * * [progress]: iteration 2 / 4 0.498 * * * [progress]: picking best candidate 0.506 * * * * [pick]: Picked # 0.506 * * * [progress]: localizing error 0.514 * * * [progress]: generating rewritten candidates 0.514 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.520 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.527 * * * [progress]: generating series expansions 0.527 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.527 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.527 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.527 * [taylor]: Taking taylor expansion of 3 in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.527 * [taylor]: Taking taylor expansion of 3 in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.536 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.536 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.536 * [taylor]: Taking taylor expansion of 3 in y 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.537 * [taylor]: Taking taylor expansion of 3 in y 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.544 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.544 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.544 * [taylor]: Taking taylor expansion of 3 in y 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.544 * [taylor]: Taking taylor expansion of 3 in y 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.552 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.552 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.552 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.552 * [taylor]: Taking taylor expansion of 3 in x 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.552 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.552 * [taylor]: Taking taylor expansion of 3 in y 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.552 * [taylor]: Taking taylor expansion of 3 in y 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of 0 in x 0.554 * [taylor]: Taking taylor expansion of 3 in x 0.555 * [taylor]: Taking taylor expansion of 0 in x 0.558 * [taylor]: Taking taylor expansion of 0 in x 0.558 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.558 * [taylor]: Taking taylor expansion of 3 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.559 * [taylor]: Taking taylor expansion of 3 in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.560 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.560 * [taylor]: Taking taylor expansion of 3 in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of 3 in x 0.562 * [taylor]: Taking taylor expansion of 0 in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of 0 in x 0.569 * [taylor]: Taking taylor expansion of 0 in x 0.570 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.571 * [taylor]: Taking taylor expansion of 3 in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.571 * [taylor]: Taking taylor expansion of 3 in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.572 * [taylor]: Taking taylor expansion of x in y 0.572 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.572 * [taylor]: Taking taylor expansion of 3 in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of 3 in x 0.574 * [taylor]: Taking taylor expansion of 0 in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of 0 in x 0.582 * [taylor]: Taking taylor expansion of 0 in x 0.583 * * * [progress]: simplifying candidates 0.583 * [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))) 0.587 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.593 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.614 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.709 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.710 * [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))) 0.710 * * * [progress]: adding candidates to table 0.764 * * [progress]: iteration 3 / 4 0.764 * * * [progress]: picking best candidate 0.771 * * * * [pick]: Picked # 0.771 * * * [progress]: localizing error 0.779 * * * [progress]: generating rewritten candidates 0.779 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.789 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.799 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.852 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.862 * * * [progress]: generating series expansions 0.862 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.862 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (y x) around 0 0.862 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 0.862 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.862 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.862 * [taylor]: Taking taylor expansion of 3 in x 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 0.864 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.864 * [taylor]: Taking taylor expansion of 3 in y 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 0.865 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.865 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.865 * [taylor]: Taking taylor expansion of 3 in y 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of 0 in x 0.867 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 0.867 * [taylor]: Taking taylor expansion of 3/2 in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of 0 in x 0.870 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 0.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.870 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.871 * [taylor]: Taking taylor expansion of 3 in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.873 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.873 * [taylor]: Taking taylor expansion of x in y 0.873 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.873 * [taylor]: Taking taylor expansion of 3 in y 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.873 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.876 * [taylor]: Taking taylor expansion of x in y 0.876 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.877 * [taylor]: Taking taylor expansion of 3 in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.880 * [taylor]: Taking taylor expansion of 3 in x 0.880 * [taylor]: Taking taylor expansion of 0 in x 0.883 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 0.883 * [taylor]: Taking taylor expansion of 1/2 in x 0.883 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 0.884 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.884 * [taylor]: Taking taylor expansion of 3 in x 0.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of 0 in x 0.894 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 0.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.894 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.895 * [taylor]: Taking taylor expansion of 3 in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.895 * [taylor]: Taking taylor expansion of y in x 0.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.897 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.897 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.897 * [taylor]: Taking taylor expansion of 3 in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.900 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.900 * [taylor]: Taking taylor expansion of x in y 0.900 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.900 * [taylor]: Taking taylor expansion of 3 in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.904 * [taylor]: Taking taylor expansion of 3 in x 0.904 * [taylor]: Taking taylor expansion of 0 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 0.907 * [taylor]: Taking taylor expansion of 1/2 in x 0.907 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 0.907 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.907 * [taylor]: Taking taylor expansion of 3 in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of 0 in x 0.917 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.917 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (y x) around 0 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 0.917 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.917 * [taylor]: Taking taylor expansion of 3 in x 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 0.918 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.918 * [taylor]: Taking taylor expansion of x in y 0.918 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.918 * [taylor]: Taking taylor expansion of 3 in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 0.919 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.919 * [taylor]: Taking taylor expansion of x in y 0.919 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of 3 in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of 0 in x 0.921 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 0.921 * [taylor]: Taking taylor expansion of 3/2 in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of 0 in x 0.924 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 0.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.925 * [taylor]: Taking taylor expansion of 3 in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 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 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.930 * [taylor]: Taking taylor expansion of 3 in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.936 * [taylor]: Taking taylor expansion of 3 in x 0.937 * [taylor]: Taking taylor expansion of 0 in x 0.940 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 0.940 * [taylor]: Taking taylor expansion of 1/2 in x 0.940 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 0.940 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.940 * [taylor]: Taking taylor expansion of 3 in x 0.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of 0 in x 0.950 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.951 * [taylor]: Taking taylor expansion of 3 in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.953 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.953 * [taylor]: Taking taylor expansion of x in y 0.953 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.953 * [taylor]: Taking taylor expansion of 3 in y 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.953 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.953 * [taylor]: Taking taylor expansion of y in y 0.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.956 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.956 * [taylor]: Taking taylor expansion of x in y 0.956 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.956 * [taylor]: Taking taylor expansion of 3 in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.959 * [taylor]: Taking taylor expansion of 3 in x 0.960 * [taylor]: Taking taylor expansion of 0 in x 0.963 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 0.963 * [taylor]: Taking taylor expansion of 1/2 in x 0.963 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 0.963 * [taylor]: Taking taylor expansion of (sqrt 3) in x 0.963 * [taylor]: Taking taylor expansion of 3 in x 0.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of 0 in x 0.973 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.973 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.973 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.973 * [taylor]: Taking taylor expansion of 3 in x 0.974 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.974 * [taylor]: Taking taylor expansion of y in x 0.974 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.974 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.974 * [taylor]: Taking taylor expansion of x in y 0.974 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.974 * [taylor]: Taking taylor expansion of 3 in y 0.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.974 * [taylor]: Taking taylor expansion of y in y 0.974 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.974 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.974 * [taylor]: Taking taylor expansion of x in y 0.974 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.974 * [taylor]: Taking taylor expansion of 3 in y 0.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.974 * [taylor]: Taking taylor expansion of y in y 0.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of 0 in x 0.975 * [taylor]: Taking taylor expansion of 3 in x 0.977 * [taylor]: Taking taylor expansion of 0 in x 0.979 * [taylor]: Taking taylor expansion of 0 in x 0.980 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.981 * [taylor]: Taking taylor expansion of 3 in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.981 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.981 * [taylor]: Taking taylor expansion of 3 in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.982 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.982 * [taylor]: Taking taylor expansion of 3 in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of 3 in x 0.984 * [taylor]: Taking taylor expansion of 0 in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of 0 in x 0.991 * [taylor]: Taking taylor expansion of 0 in x 0.993 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.994 * [taylor]: Taking taylor expansion of 3 in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.994 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.994 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.994 * [taylor]: Taking taylor expansion of 3 in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.994 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.995 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.995 * [taylor]: Taking taylor expansion of 3 in y 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of 3 in x 0.997 * [taylor]: Taking taylor expansion of 0 in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of 0 in x 1.004 * [taylor]: Taking taylor expansion of 0 in x 1.006 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.006 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 1.006 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.006 * [taylor]: Taking taylor expansion of 3 in y 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.006 * [taylor]: Taking taylor expansion of 3 in y 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.014 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.014 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.014 * [taylor]: Taking taylor expansion of 3 in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.014 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.014 * [taylor]: Taking taylor expansion of 3 in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.024 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.024 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.024 * [taylor]: Taking taylor expansion of 3 in y 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.025 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.025 * [taylor]: Taking taylor expansion of 3 in y 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.032 * * * [progress]: simplifying candidates 1.034 * [simplify]: Simplifying using # : (log (sqrt (+ (* (* 3 y) y) (* x x)))) (exp (sqrt (+ (* (* 3 y) y) (* x x)))) (* (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (cbrt (sqrt (+ (* (* 3 y) y) (* x x))))) (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (* (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x))))) (sqrt (cbrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt 1) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x))))) (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x)))) (sqrt (- (* (* 3 y) y) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (log (sqrt (+ (* (* 3 y) y) (* x x)))) (exp (sqrt (+ (* (* 3 y) y) (* x x)))) (* (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (cbrt (sqrt (+ (* (* 3 y) y) (* x x))))) (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (* (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x))))) (sqrt (cbrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt 1) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x))))) (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x)))) (sqrt (- (* (* 3 y) y) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x))) (+ 1 1) (+ (log (sqrt (+ (* (* 3 y) y) (* x x)))) (log (sqrt (+ (* (* 3 y) y) (* x x))))) (log (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))) (exp (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))) (* (* (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (+ (* (* 3 y) y) (* x x))))) (* (cbrt (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))) (cbrt (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x)))))) (cbrt (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))) (* (* (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))) (* (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x))) (sqrt (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))) (sqrt (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3))) (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)))) (* (sqrt (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x))))) (sqrt (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x)))))) (* (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3))) (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))))) (* (sqrt (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x))))) (sqrt (- (* (* 3 y) y) (* x x)))) (* (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x)))) (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)))) (* (sqrt (- (* (* 3 y) y) (* x x))) (sqrt (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x)))))) (* (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x)))) (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))))) (* (sqrt (- (* (* 3 y) y) (* x x))) (sqrt (- (* (* 3 y) y) (* x x)))) (* (* (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (cbrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))))) (* (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (cbrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x))))) (sqrt (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))))) (* (sqrt (cbrt (+ (* (* 3 y) y) (* x x)))) (sqrt (cbrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* 1 1) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* (* 3 y) y) (* x x))) (* (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt 1)) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (sqrt (+ (* (* 3 y) y) (* x x))) 1) (* (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (sqrt (cbrt (+ (* (* 3 y) y) (* x x)))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))))) (* (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x)))) (sqrt (+ (* (* 3 y) y) (* x x)))) (* (* 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) x (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) x (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 1.041 * * [simplify]: iteration 0 : 257 enodes (cost 885 ) 1.049 * * [simplify]: iteration 1 : 1214 enodes (cost 793 ) 1.082 * * [simplify]: iteration 2 : 5002 enodes (cost 764 ) 1.086 * [simplify]: Simplified to: (log (sqrt (+ (* (* 3 y) y) (* x x)))) (exp (sqrt (+ (* (* 3 y) y) (* x x)))) (* (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (cbrt (sqrt (+ (* (* 3 y) y) (* x x))))) (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (pow (sqrt (+ (* (* 3 y) y) (* x x))) 3) (fabs (cbrt (+ (* (* 3 y) y) (* x x)))) (sqrt (cbrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt 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y) y)) (* (* x x) (* x x)))) (sqrt (- (* (* 3 y) y) (* x x))) 1/2 (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) 1 1 2 1 1 (pow (sqrt (+ (* (* 3 y) y) (* x x))) 4) (+ (* (* 3 y) y) (* x x)) (pow (sqrt (+ (* (* 3 y) y) (* x x))) 4) 2 (* 2 (log (sqrt (+ (* (* 3 y) y) (* x x))))) (* 2 (log (sqrt (+ (* (* 3 y) y) (* x x))))) (* (exp (* (* 3 y) y)) (exp (pow x 2))) (pow (+ (* (* 3 y) y) (* x x)) 3) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (pow (+ (* (* 3 y) y) (* x x)) 3) (pow (sqrt (+ (* (* 3 y) y) (* x x))) 4) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (- (pow x 4) (- (* (* (* 3 y) y) (* x x)) (* 9 (* (pow y 2) (pow y 2))))) (* (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3))) (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))))) (* (sqrt (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x))))) (sqrt (- (* (* 3 y) y) (* x x)))) (* (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3))) (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))))) (* (sqrt (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x))))) (sqrt (- (* (* 3 y) y) (* x x)))) (+ (* (- (pow x 3)) x) (* 9 (* (pow y 2) (pow y 2)))) (- (* (* 3 y) y) (* x x)) (pow (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) 4) (* (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) (cbrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) 1 (+ (* (* 3 y) y) (* x x)) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) 1 (+ (* (* 3 y) y) (* x x)) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) 1 2 1 (* (pow (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) 4) (cbrt (sqrt (+ (* (* 3 y) y) (* x x))))) (* (fabs (cbrt (+ (* (* 3 y) y) (* x x)))) (sqrt (+ (* (* 3 y) y) (* x x)))) (pow (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) 3) (sqrt (+ (* (* 3 y) y) (* x x))) (pow (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) 3) (sqrt (+ (* (* 3 y) y) (* x x))) (pow (cbrt (sqrt (+ (* (* 3 y) y) (* x x)))) 4) (* (sqrt (cbrt (+ (* (* 3 y) y) (* x x)))) (sqrt (+ (* (* 3 y) y) (* x x)))) (pow (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) 3) (+ (* (* 3 y) y) (* x x)) (pow (sqrt (sqrt (+ (* (* 3 y) y) (* x x)))) 3) (+ (* (* 3 y) y) (* x x)) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)))) (* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))))) (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* 3 y) (pow y 2) x (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) x (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) 1.087 * * * [progress]: adding candidates to table 1.293 * * [progress]: iteration 4 / 4 1.293 * * * [progress]: picking best candidate 1.301 * * * * [pick]: Picked # 1.301 * * * [progress]: localizing error 1.309 * * * [progress]: generating rewritten candidates 1.309 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.318 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.341 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.363 * * * [progress]: generating series expansions 1.363 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.364 * [approximate]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in (y) around 0 1.364 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in y 1.364 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.364 * [taylor]: Taking taylor expansion of 3 in y 1.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.365 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow y 2)) in y 1.365 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.365 * [taylor]: Taking taylor expansion of 3 in y 1.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.381 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in (y) around 0 1.381 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.381 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.381 * [taylor]: Taking taylor expansion of 3 in y 1.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.381 * [taylor]: Taking taylor expansion of y in y 1.382 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.382 * [taylor]: Taking taylor expansion of (sqrt 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 1.395 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in (y) around 0 1.395 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.395 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.395 * [taylor]: Taking taylor expansion of 3 in y 1.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.396 * [taylor]: Taking taylor expansion of y in y 1.396 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow y 2)) in y 1.396 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.397 * [taylor]: Taking taylor expansion of 3 in y 1.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.397 * [taylor]: Taking taylor expansion of y in y 1.409 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.410 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.410 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.410 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.410 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.410 * [taylor]: Taking taylor expansion of 3 in y 1.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.411 * [taylor]: Taking taylor expansion of y in y 1.411 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.411 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.411 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.411 * [taylor]: Taking taylor expansion of 3 in y 1.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.411 * [taylor]: Taking taylor expansion of y in y 1.431 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.431 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.431 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.431 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.431 * [taylor]: Taking taylor expansion of 3 in y 1.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.431 * [taylor]: Taking taylor expansion of y in y 1.433 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.433 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.433 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.433 * [taylor]: Taking taylor expansion of 3 in y 1.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.434 * [taylor]: Taking taylor expansion of y in y 1.456 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.456 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.456 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.456 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.456 * [taylor]: Taking taylor expansion of 3 in y 1.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.457 * [taylor]: Taking taylor expansion of y in y 1.459 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.459 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.459 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.459 * [taylor]: Taking taylor expansion of 3 in y 1.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.460 * [taylor]: Taking taylor expansion of y in y 1.478 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.479 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.479 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in x 1.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in x 1.479 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.479 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.479 * [taylor]: Taking taylor expansion of 3 in x 1.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.480 * [taylor]: Taking taylor expansion of y in x 1.480 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 1.480 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.480 * [taylor]: Taking taylor expansion of x in y 1.480 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.480 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.480 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.480 * [taylor]: Taking taylor expansion of 3 in y 1.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.481 * [taylor]: Taking taylor expansion of y in y 1.481 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 1.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.481 * [taylor]: Taking taylor expansion of x in y 1.481 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.481 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.481 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.481 * [taylor]: Taking taylor expansion of 3 in y 1.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.481 * [taylor]: Taking taylor expansion of y in y 1.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of 0 in x 1.485 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.485 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.485 * [taylor]: Taking taylor expansion of 3 in x 1.489 * [taylor]: Taking taylor expansion of 0 in x 1.494 * [taylor]: Taking taylor expansion of 0 in x 1.495 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 1.496 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.496 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.496 * [taylor]: Taking taylor expansion of 3 in x 1.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.497 * [taylor]: Taking taylor expansion of y in x 1.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.498 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.498 * [taylor]: Taking taylor expansion of x in y 1.499 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.499 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.499 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.499 * [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 1.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.501 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.501 * [taylor]: Taking taylor expansion of x in y 1.502 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.502 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.502 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.502 * [taylor]: Taking taylor expansion of 3 in y 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.506 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.506 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.506 * [taylor]: Taking taylor expansion of 3 in x 1.508 * [taylor]: Taking taylor expansion of 0 in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of 0 in x 1.521 * [taylor]: Taking taylor expansion of 0 in x 1.525 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in x 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 1.525 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.525 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.525 * [taylor]: Taking taylor expansion of 3 in x 1.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.526 * [taylor]: Taking taylor expansion of y in x 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.528 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.528 * [taylor]: Taking taylor expansion of x in y 1.528 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.528 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.528 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.528 * [taylor]: Taking taylor expansion of 3 in y 1.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.529 * [taylor]: Taking taylor expansion of y in y 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.531 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.531 * [taylor]: Taking taylor expansion of x in y 1.531 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.531 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.531 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.531 * [taylor]: Taking taylor expansion of 3 in y 1.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.532 * [taylor]: Taking taylor expansion of y in y 1.535 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.535 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.535 * [taylor]: Taking taylor expansion of 3 in x 1.538 * [taylor]: Taking taylor expansion of 0 in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of 0 in x 1.554 * [taylor]: Taking taylor expansion of 0 in x 1.557 * * * [progress]: simplifying candidates 1.558 * [simplify]: Simplifying using # : (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (+ (log (sqrt 3)) (+ (log y) (log y))) (+ (log (sqrt 3)) (log (* y y))) (log (* (sqrt 3) (* y y))) (exp (* (sqrt 3) (* y y))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) y) (* (* y y) y))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (sqrt 3) (* y y))) (cbrt (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* y y))) (* (* (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y))) (* (sqrt 3) (* y y))) (sqrt (* (sqrt 3) (* y y))) (sqrt (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (cbrt (sqrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (log y) (log y)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (log (* y y)))) (+ (log (sqrt 3)) (log (* (sqrt 3) (* y y)))) (log (* (sqrt 3) (* (sqrt 3) (* y y)))) (exp (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) y) (* (* y y) y)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* y y) (* y y)) (* y y)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y))) (* (sqrt 3) (* y y)))) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (sqrt 3) (sqrt 3)) (* (cbrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y))) (* (exp (* (sqrt 3) (* (sqrt 3) (* y y)))) (exp (* x x))) (log (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (exp (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (* (* (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)) (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (+ (pow (* (sqrt 3) (* (sqrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (- (* (* x x) (* x x)) (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)))) (- (* (* (sqrt 3) (* (sqrt 3) (* y y))) (* (sqrt 3) (* (sqrt 3) (* y y)))) (* (* x x) (* x x))) (- (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)) (* (sqrt 3) (pow y 2)) (* (sqrt 3) (pow y 2)) (* (sqrt 3) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) 1.563 * * [simplify]: iteration 0 : 233 enodes (cost 391 ) 1.569 * * [simplify]: iteration 1 : 994 enodes (cost 310 ) 1.593 * * [simplify]: iteration 2 : 4280 enodes (cost 302 ) 1.709 * * [simplify]: iteration 3 : 5002 enodes (cost 298 ) 1.711 * [simplify]: Simplified to: (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (log (* (sqrt 3) (* y y))) (log (* (sqrt 3) (* y y))) (log (* (sqrt 3) (* y y))) (exp (* (sqrt 3) (* y y))) (pow (* (sqrt 3) (* y y)) 3) (pow (* (sqrt 3) (* y y)) 3) (* (cbrt (* (sqrt 3) (* y y))) (cbrt (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* y y))) (pow (* (sqrt 3) (* y y)) 3) (sqrt (* (sqrt 3) (* y y))) (sqrt (* (sqrt 3) (* y y))) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (cbrt (sqrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt (sqrt 3)) (* y y)) (* (sqrt 3) (* y y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (log 3) (log (pow y 2))) (+ (log 3) (log (pow y 2))) (+ (log 3) (log (pow y 2))) (+ (log 3) (log (pow y 2))) (pow (exp 3) (pow y 2)) (pow (* 3 (pow y 2)) 3) (pow (* 3 (pow y 2)) 3) (pow (* 3 (pow y 2)) 3) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* y y)))) (pow (* 3 (pow y 2)) 3) (fabs (* (sqrt 3) y)) (fabs (* (sqrt 3) y)) 3 (* (cbrt (sqrt 3)) (* (sqrt 3) (* y y))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* y y))) (* (pow (sqrt 3) 3/2) (pow y 2)) (* 3 (pow y 2)) (* (pow (sqrt 3) 3/2) (pow y 2)) (* 3 (pow y 2)) (exp (+ (* 3 (pow y 2)) (pow x 2))) (log (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (exp (+ (* 3 (pow y 2)) (pow x 2))) (* (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x)))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))) (+ (pow (* (sqrt 3) (* (sqrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (* (* 3 (pow y 2)) (- (* 3 (pow y 2)) (pow x 2))) (pow x 4)) (+ (* (- (pow x 3)) x) (* 9 (* (* y y) (* y y)))) (- (* 3 (pow y 2)) (pow x 2)) (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.711 * * * [progress]: adding candidates to table 1.816 * [progress]: [Phase 3 of 3] Extracting. 1.816 * * [regime]: Finding splitpoints for: (# # # # # #) 1.817 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.817 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.834 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.852 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.870 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.890 * * * [regime]: Found split indices: #