20.931 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.026 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.027 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.028 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.030 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.031 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.033 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.035 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.037 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.040 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.043 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.048 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.077 * * [simplify]: iteration 11 : 3197 enodes (cost 4 ) 0.292 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.293 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.296 * * [progress]: iteration 1 / 4 0.296 * * * [progress]: picking best candidate 0.297 * * * * [pick]: Picked # 0.297 * * * [progress]: localizing error 0.302 * * * [progress]: generating rewritten candidates 0.302 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.308 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.315 * * * [progress]: generating series expansions 0.315 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.315 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.315 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of 3 in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of 3 in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.323 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.323 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.323 * [taylor]: Taking taylor expansion of 3 in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of 3 in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.331 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.331 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.331 * [taylor]: Taking taylor expansion of 3 in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.331 * [taylor]: Taking taylor expansion of 3 in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.341 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.342 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of 3 in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of 3 in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of 3 in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 0 in x 0.343 * [taylor]: Taking taylor expansion of 3 in x 0.345 * [taylor]: Taking taylor expansion of 0 in x 0.348 * [taylor]: Taking taylor expansion of 0 in x 0.348 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.349 * [taylor]: Taking taylor expansion of 3 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of 3 in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of 3 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 3 in x 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 0 in x 0.360 * [taylor]: Taking taylor expansion of 0 in x 0.361 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.362 * [taylor]: Taking taylor expansion of 3 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.362 * [taylor]: Taking taylor expansion of 3 in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.363 * [taylor]: Taking taylor expansion of 3 in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of 3 in x 0.365 * [taylor]: Taking taylor expansion of 0 in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.374 * * * [progress]: simplifying candidates 0.374 * [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))) 0.378 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.382 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.394 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.447 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.448 * [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))) 0.449 * * * [progress]: adding candidates to table 0.499 * * [progress]: iteration 2 / 4 0.499 * * * [progress]: picking best candidate 0.507 * * * * [pick]: Picked # 0.507 * * * [progress]: localizing error 0.512 * * * [progress]: generating rewritten candidates 0.512 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.517 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.523 * * * [progress]: generating series expansions 0.523 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.523 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.523 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.523 * [taylor]: Taking taylor expansion of 3 in y 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.523 * [taylor]: Taking taylor expansion of 3 in y 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.531 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.531 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.531 * [taylor]: Taking taylor expansion of 3 in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.532 * [taylor]: Taking taylor expansion of 3 in y 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.542 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.542 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.542 * [taylor]: Taking taylor expansion of 3 in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.542 * [taylor]: Taking taylor expansion of 3 in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.549 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.550 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of 3 in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of 3 in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of 3 in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of 0 in x 0.551 * [taylor]: Taking taylor expansion of 3 in x 0.553 * [taylor]: Taking taylor expansion of 0 in x 0.556 * [taylor]: Taking taylor expansion of 0 in x 0.556 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.557 * [taylor]: Taking taylor expansion of 3 in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.557 * [taylor]: Taking taylor expansion of 3 in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.558 * [taylor]: Taking taylor expansion of 3 in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 3 in x 0.560 * [taylor]: Taking taylor expansion of 0 in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of 0 in x 0.568 * [taylor]: Taking taylor expansion of 0 in x 0.569 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.570 * [taylor]: Taking taylor expansion of 3 in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.570 * [taylor]: Taking taylor expansion of 3 in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [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 3 in x 0.573 * [taylor]: Taking taylor expansion of 0 in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of 0 in x 0.580 * [taylor]: Taking taylor expansion of 0 in x 0.582 * * * [progress]: simplifying candidates 0.582 * [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))) 0.586 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.590 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.610 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.702 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.704 * [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))) 0.704 * * * [progress]: adding candidates to table 0.744 * * [progress]: iteration 3 / 4 0.744 * * * [progress]: picking best candidate 0.751 * * * * [pick]: Picked # 0.751 * * * [progress]: localizing error 0.760 * * * [progress]: generating rewritten candidates 0.760 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.767 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.779 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.794 * * * [progress]: generating series expansions 0.794 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.794 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 0.794 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.794 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.794 * [taylor]: Taking taylor expansion of 3 in y 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.795 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.795 * [taylor]: Taking taylor expansion of 3 in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.812 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.812 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.812 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.812 * [taylor]: Taking taylor expansion of 3 in y 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.813 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.813 * [taylor]: Taking taylor expansion of 3 in y 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.826 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.826 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.826 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.826 * [taylor]: Taking taylor expansion of 3 in y 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.828 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.828 * [taylor]: Taking taylor expansion of 3 in y 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.840 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.841 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.841 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.842 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.842 * [taylor]: Taking taylor expansion of 3 in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.842 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.842 * [taylor]: Taking taylor expansion of 3 in y 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.867 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.868 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.868 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.868 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.868 * [taylor]: Taking taylor expansion of 3 in y 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.871 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.871 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.871 * [taylor]: Taking taylor expansion of 3 in y 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.897 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.897 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.897 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.897 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.897 * [taylor]: Taking taylor expansion of 3 in y 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.901 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.901 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.901 * [taylor]: Taking taylor expansion of 3 in y 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.924 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.926 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 0.926 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 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 0.926 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.926 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.926 * [taylor]: Taking taylor expansion of 3 in x 0.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.926 * [taylor]: Taking taylor expansion of x in y 0.926 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.926 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.926 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.926 * [taylor]: Taking taylor expansion of 3 in y 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 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 (* (pow (cbrt 3) 3) (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.927 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.927 * [taylor]: Taking taylor expansion of 3 in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of 0 in x 0.932 * [taylor]: Taking taylor expansion of 3 in x 0.935 * [taylor]: Taking taylor expansion of 0 in x 0.939 * [taylor]: Taking taylor expansion of 0 in x 0.941 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.941 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.941 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.941 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.941 * [taylor]: Taking taylor expansion of 3 in x 0.942 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.942 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.945 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.945 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.945 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.945 * [taylor]: Taking taylor expansion of 3 in y 0.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.950 * [taylor]: Taking taylor expansion of x in y 0.950 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.950 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.950 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.950 * [taylor]: Taking taylor expansion of 3 in y 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.954 * [taylor]: Taking taylor expansion of x in y 0.954 * [taylor]: Taking taylor expansion of 3 in x 0.956 * [taylor]: Taking taylor expansion of 0 in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.960 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of 0 in x 0.972 * [taylor]: Taking taylor expansion of 0 in x 0.975 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.975 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.975 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.975 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.975 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.975 * [taylor]: Taking taylor expansion of 3 in x 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.976 * [taylor]: Taking taylor expansion of y in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.979 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.979 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.979 * [taylor]: Taking taylor expansion of 3 in y 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.983 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.983 * [taylor]: Taking taylor expansion of x in y 0.983 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.983 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.983 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.983 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.983 * [taylor]: Taking taylor expansion of 3 in y 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.988 * [taylor]: Taking taylor expansion of 3 in x 0.990 * [taylor]: Taking taylor expansion of 0 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 0.997 * [taylor]: Taking taylor expansion of 0 in x 1.002 * [taylor]: Taking taylor expansion of 0 in x 1.004 * * * [progress]: simplifying candidates 1.005 * [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))) 1.010 * * [simplify]: iteration 0 : 263 enodes (cost 553 ) 1.016 * * [simplify]: iteration 1 : 1076 enodes (cost 421 ) 1.042 * * [simplify]: iteration 2 : 5001 enodes (cost 366 ) 1.045 * [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))) 1.045 * * * [progress]: adding candidates to table 1.132 * * [progress]: iteration 4 / 4 1.132 * * * [progress]: picking best candidate 1.138 * * * * [pick]: Picked # 1.138 * * * [progress]: localizing error 1.148 * * * [progress]: generating rewritten candidates 1.148 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.154 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.160 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.175 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.185 * * * [progress]: generating series expansions 1.185 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.185 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (y x) around 0 1.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.185 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.185 * [taylor]: Taking taylor expansion of x in x 1.185 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.185 * [taylor]: Taking taylor expansion of 3 in x 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.185 * [taylor]: Taking taylor expansion of y in x 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.187 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.187 * [taylor]: Taking taylor expansion of x in y 1.187 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.187 * [taylor]: Taking taylor expansion of 3 in y 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.187 * [taylor]: Taking taylor expansion of y in y 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.187 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.187 * [taylor]: Taking taylor expansion of x in y 1.187 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.187 * [taylor]: Taking taylor expansion of 3 in y 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.187 * [taylor]: Taking taylor expansion of y in y 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of 0 in x 1.189 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 1.189 * [taylor]: Taking taylor expansion of 3/2 in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of 0 in x 1.192 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 1.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.193 * [taylor]: Taking taylor expansion of 3 in x 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.193 * [taylor]: Taking taylor expansion of y in x 1.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.195 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.195 * [taylor]: Taking taylor expansion of x in y 1.195 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.195 * [taylor]: Taking taylor expansion of 3 in y 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.195 * [taylor]: Taking taylor expansion of y in y 1.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.198 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.198 * [taylor]: Taking taylor expansion of x in y 1.199 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.199 * [taylor]: Taking taylor expansion of 3 in y 1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.199 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.202 * [taylor]: Taking taylor expansion of 3 in x 1.202 * [taylor]: Taking taylor expansion of 0 in x 1.205 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 1.205 * [taylor]: Taking taylor expansion of 1/2 in x 1.205 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 1.205 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.205 * [taylor]: Taking taylor expansion of 3 in x 1.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of 0 in x 1.215 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 1.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.216 * [taylor]: Taking taylor expansion of 3 in x 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.216 * [taylor]: Taking taylor expansion of y in x 1.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.218 * [taylor]: Taking taylor expansion of x in y 1.218 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.218 * [taylor]: Taking taylor expansion of 3 in y 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.221 * [taylor]: Taking taylor expansion of x in y 1.221 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.221 * [taylor]: Taking taylor expansion of 3 in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.224 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.224 * [taylor]: Taking taylor expansion of 3 in x 1.225 * [taylor]: Taking taylor expansion of 0 in x 1.228 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 1.228 * [taylor]: Taking taylor expansion of 1/2 in x 1.228 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 1.228 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.228 * [taylor]: Taking taylor expansion of 3 in x 1.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of 0 in x 1.242 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.242 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (y x) around 0 1.242 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.242 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.242 * [taylor]: Taking taylor expansion of 3 in x 1.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.242 * [taylor]: Taking taylor expansion of y in x 1.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.243 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.243 * [taylor]: Taking taylor expansion of x in y 1.243 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.243 * [taylor]: Taking taylor expansion of 3 in y 1.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.243 * [taylor]: Taking taylor expansion of y in y 1.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.244 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.244 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.244 * [taylor]: Taking taylor expansion of x in y 1.244 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.244 * [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 x in x 1.244 * [taylor]: Taking taylor expansion of 0 in x 1.246 * [taylor]: Taking taylor expansion of (/ 3/2 x) in x 1.246 * [taylor]: Taking taylor expansion of 3/2 in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of 0 in x 1.249 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 1.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.249 * [taylor]: Taking taylor expansion of 3 in x 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.250 * [taylor]: Taking taylor expansion of y in x 1.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.252 * [taylor]: Taking taylor expansion of x in y 1.252 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.252 * [taylor]: Taking taylor expansion of 3 in y 1.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.252 * [taylor]: Taking taylor expansion of y in y 1.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.255 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.255 * [taylor]: Taking taylor expansion of x in y 1.255 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.255 * [taylor]: Taking taylor expansion of 3 in y 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.255 * [taylor]: Taking taylor expansion of y in y 1.258 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.258 * [taylor]: Taking taylor expansion of 3 in x 1.259 * [taylor]: Taking taylor expansion of 0 in x 1.262 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 1.262 * [taylor]: Taking taylor expansion of 1/2 in x 1.262 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 1.262 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.262 * [taylor]: Taking taylor expansion of 3 in x 1.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of 0 in x 1.272 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (y x) around 0 1.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.272 * [taylor]: Taking taylor expansion of 3 in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.272 * [taylor]: Taking taylor expansion of y in x 1.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.274 * [taylor]: Taking taylor expansion of x in y 1.274 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.274 * [taylor]: Taking taylor expansion of 3 in y 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.278 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.278 * [taylor]: Taking taylor expansion of x in y 1.278 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.278 * [taylor]: Taking taylor expansion of 3 in y 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.278 * [taylor]: Taking taylor expansion of y in y 1.281 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.281 * [taylor]: Taking taylor expansion of 3 in x 1.281 * [taylor]: Taking taylor expansion of 0 in x 1.285 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) (pow x 2))) in x 1.285 * [taylor]: Taking taylor expansion of 1/2 in x 1.285 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow x 2)) in x 1.285 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.285 * [taylor]: Taking taylor expansion of 3 in x 1.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of 0 in x 1.294 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.295 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 1.295 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.295 * [taylor]: Taking taylor expansion of 3 in x 1.295 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.295 * [taylor]: Taking taylor expansion of y in x 1.295 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.295 * [taylor]: Taking taylor expansion of x in y 1.295 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.295 * [taylor]: Taking taylor expansion of 3 in y 1.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.295 * [taylor]: Taking taylor expansion of y in y 1.295 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.295 * [taylor]: Taking taylor expansion of x in y 1.295 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.295 * [taylor]: Taking taylor expansion of 3 in y 1.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.295 * [taylor]: Taking taylor expansion of y in y 1.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of 0 in x 1.296 * [taylor]: Taking taylor expansion of 3 in x 1.298 * [taylor]: Taking taylor expansion of 0 in x 1.301 * [taylor]: Taking taylor expansion of 0 in x 1.301 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.302 * [taylor]: Taking taylor expansion of 3 in x 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.302 * [taylor]: Taking taylor expansion of y in x 1.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.302 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.302 * [taylor]: Taking taylor expansion of x in y 1.302 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.302 * [taylor]: Taking taylor expansion of 3 in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.303 * [taylor]: Taking taylor expansion of x in y 1.303 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.303 * [taylor]: Taking taylor expansion of 3 in y 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.303 * [taylor]: Taking taylor expansion of y in y 1.304 * [taylor]: Taking taylor expansion of 3 in x 1.306 * [taylor]: Taking taylor expansion of 0 in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of 0 in x 1.313 * [taylor]: Taking taylor expansion of 0 in x 1.317 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 1.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.318 * [taylor]: Taking taylor expansion of 3 in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.318 * [taylor]: Taking taylor expansion of y in x 1.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.318 * [taylor]: Taking taylor expansion of x in y 1.318 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.318 * [taylor]: Taking taylor expansion of 3 in y 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.318 * [taylor]: Taking taylor expansion of y in y 1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.319 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.319 * [taylor]: Taking taylor expansion of x in y 1.319 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.319 * [taylor]: Taking taylor expansion of 3 in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.320 * [taylor]: Taking taylor expansion of 3 in x 1.322 * [taylor]: Taking taylor expansion of 0 in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.326 * [taylor]: Taking taylor expansion of 0 in x 1.329 * [taylor]: Taking taylor expansion of 0 in x 1.330 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.330 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 1.330 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.330 * [taylor]: Taking taylor expansion of 3 in y 1.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.330 * [taylor]: Taking taylor expansion of y in y 1.330 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.330 * [taylor]: Taking taylor expansion of 3 in y 1.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.330 * [taylor]: Taking taylor expansion of y in y 1.338 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.338 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.338 * [taylor]: Taking taylor expansion of 3 in y 1.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.338 * [taylor]: Taking taylor expansion of y in y 1.339 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.339 * [taylor]: Taking taylor expansion of 3 in y 1.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.339 * [taylor]: Taking taylor expansion of y in y 1.346 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.346 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.346 * [taylor]: Taking taylor expansion of 3 in y 1.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.346 * [taylor]: Taking taylor expansion of y in y 1.347 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.347 * [taylor]: Taking taylor expansion of 3 in y 1.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.354 * * * [progress]: simplifying candidates 1.355 * [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) (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)) 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)) 1.362 * * [simplify]: iteration 0 : 248 enodes (cost 886 ) 1.368 * * [simplify]: iteration 1 : 1010 enodes (cost 795 ) 1.392 * * [simplify]: iteration 2 : 5001 enodes (cost 764 ) 1.396 * [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 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(* 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 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) (- (* 9 (pow y 4)) (* (* 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 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(* 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))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) 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)) 1.397 * * * [progress]: adding candidates to table 1.547 * [progress]: [Phase 3 of 3] Extracting. 1.547 * * [regime]: Finding splitpoints for: (# # # # # #) 1.548 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.548 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.565 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.581 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.602 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.623 * * * [regime]: Found split indices: #