21.459 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.025 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.026 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.027 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.029 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.030 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.032 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.034 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.036 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.038 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.041 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.047 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.074 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.298 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.299 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.301 * * [progress]: iteration 1 / 4 0.301 * * * [progress]: picking best candidate 0.304 * * * * [pick]: Picked # 0.304 * * * [progress]: localizing error 0.312 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.318 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.324 * * * [progress]: generating series expansions 0.324 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.324 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 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 0.324 * [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 0.332 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.332 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of 3 in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of 3 in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.340 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.340 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of 3 in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of 3 in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.349 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.349 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 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 0.349 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of 3 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 (+ (pow x 2) (* 3 (pow y 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 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of 3 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 (+ (pow x 2) (* 3 (pow y 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 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of 3 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 (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.351 * [taylor]: Taking taylor expansion of 3 in x 0.353 * [taylor]: Taking taylor expansion of 0 in x 0.355 * [taylor]: Taking taylor expansion of 0 in x 0.355 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.356 * [taylor]: Taking taylor expansion of 3 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.356 * [taylor]: Taking taylor expansion of 3 in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [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 0.357 * [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 0.358 * [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 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.370 * [taylor]: Taking taylor expansion of 3 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.370 * [taylor]: Taking taylor expansion of x in y 0.370 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of 3 in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.371 * [taylor]: Taking taylor expansion of 3 in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of 3 in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.381 * [taylor]: Taking taylor expansion of 0 in x 0.382 * * * [progress]: simplifying candidates 0.383 * [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))) 0.386 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.391 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.403 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.458 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.460 * [simplify]: Simplified to: (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* 27 (pow y 6)) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (exp (+ (* 3 (* y y)) (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (+ (* 9 (pow y 4)) (* -3 (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (* 9 (pow y 3)) y)) (- (* 3 (* y y)) (* x x)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.460 * * * [progress]: adding candidates to table 0.513 * * [progress]: iteration 2 / 4 0.513 * * * [progress]: picking best candidate 0.521 * * * * [pick]: Picked # 0.521 * * * [progress]: localizing error 0.531 * * * [progress]: generating rewritten candidates 0.531 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.536 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.541 * * * [progress]: generating series expansions 0.541 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.541 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.541 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.541 * [taylor]: Taking taylor expansion of 3 in y 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [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 0.550 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 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 (/ 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 0.558 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.558 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of 3 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 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of 3 in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.566 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.566 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.566 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.566 * [taylor]: Taking taylor expansion of 3 in x 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of 3 in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of 3 in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of 0 in x 0.568 * [taylor]: Taking taylor expansion of 3 in x 0.570 * [taylor]: Taking taylor expansion of 0 in x 0.572 * [taylor]: Taking taylor expansion of 0 in x 0.573 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.573 * [taylor]: Taking taylor expansion of 3 in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.573 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.574 * [taylor]: Taking taylor expansion of 3 in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.574 * [taylor]: Taking taylor expansion of 3 in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of 3 in x 0.577 * [taylor]: Taking taylor expansion of 0 in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of 0 in x 0.584 * [taylor]: Taking taylor expansion of 0 in x 0.586 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.586 * [taylor]: Taking taylor expansion of 3 in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.586 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.586 * [taylor]: Taking taylor expansion of x in y 0.586 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.586 * [taylor]: Taking taylor expansion of 3 in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.587 * [taylor]: Taking taylor expansion of x in y 0.587 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.587 * [taylor]: Taking taylor expansion of 3 in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of 3 in x 0.590 * [taylor]: Taking taylor expansion of 0 in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of 0 in x 0.597 * [taylor]: Taking taylor expansion of 0 in x 0.598 * * * [progress]: simplifying candidates 0.599 * [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))) 0.602 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.607 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.627 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.721 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.722 * [simplify]: Simplified to: (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) 3) (* 3 y) (pow y 2) (exp (+ (* (* 3 y) y) (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (- (* (* 3 y) y) (* x x))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (* 9 (pow y 2)) (pow y 2))) (- (* (* 3 y) y) (* x x)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.722 * * * [progress]: adding candidates to table 0.765 * * [progress]: iteration 3 / 4 0.765 * * * [progress]: picking best candidate 0.773 * * * * [pick]: Picked # 0.773 * * * [progress]: localizing error 0.780 * * * [progress]: generating rewritten candidates 0.780 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.788 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.794 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.798 * * * [progress]: generating series expansions 0.798 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.798 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.798 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.798 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.798 * [taylor]: Taking taylor expansion of x in y 0.798 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.798 * [taylor]: Taking taylor expansion of 3 in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.799 * [taylor]: Taking taylor expansion of y in y 0.799 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.799 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.799 * [taylor]: Taking taylor expansion of 3 in x 0.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.799 * [taylor]: Taking taylor expansion of y in x 0.799 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.799 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.799 * [taylor]: Taking taylor expansion of 3 in x 0.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.799 * [taylor]: Taking taylor expansion of y in x 0.799 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.799 * [taylor]: Taking taylor expansion of 3 in y 0.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.799 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [taylor]: Taking taylor expansion of 1 in y 0.807 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.811 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.811 * [taylor]: Taking taylor expansion of x in y 0.811 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.811 * [taylor]: Taking taylor expansion of 3 in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.812 * [taylor]: Taking taylor expansion of 3 in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.813 * [taylor]: Taking taylor expansion of 3 in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of 1 in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.816 * [taylor]: Taking taylor expansion of 3 in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.824 * [taylor]: Taking taylor expansion of x in y 0.824 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.824 * [taylor]: Taking taylor expansion of 3 in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.825 * [taylor]: Taking taylor expansion of 3 in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.826 * [taylor]: Taking taylor expansion of 3 in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of 1 in y 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.829 * [taylor]: Taking taylor expansion of 3 in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of 0 in y 0.835 * [taylor]: Taking taylor expansion of 0 in y 0.837 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.837 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.837 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.837 * [taylor]: Taking taylor expansion of x in y 0.837 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.837 * [taylor]: Taking taylor expansion of 2 in y 0.837 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.837 * [taylor]: Taking taylor expansion of 2 in x 0.837 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.837 * [taylor]: Taking taylor expansion of 2 in x 0.837 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.838 * [taylor]: Taking taylor expansion of 2 in y 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [taylor]: Taking taylor expansion of 1 in y 0.842 * [taylor]: Taking taylor expansion of 0 in y 0.845 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.846 * [taylor]: Taking taylor expansion of x in y 0.846 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.846 * [taylor]: Taking taylor expansion of 2 in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.847 * [taylor]: Taking taylor expansion of 2 in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.848 * [taylor]: Taking taylor expansion of 2 in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of 1 in y 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.850 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.850 * [taylor]: Taking taylor expansion of 2 in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.859 * [taylor]: Taking taylor expansion of x in y 0.859 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.859 * [taylor]: Taking taylor expansion of 2 in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.860 * [taylor]: Taking taylor expansion of 2 in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.860 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.860 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.861 * [taylor]: Taking taylor expansion of 2 in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.861 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.861 * [taylor]: Taking taylor expansion of y in x 0.861 * [taylor]: Taking taylor expansion of 1 in y 0.862 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.863 * [taylor]: Taking taylor expansion of 2 in y 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [taylor]: Taking taylor expansion of 0 in y 0.872 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.872 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.872 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.872 * [taylor]: Taking taylor expansion of x in y 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.873 * [taylor]: Taking taylor expansion of 1 in y 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.876 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.877 * [taylor]: Taking taylor expansion of x 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 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of 1 in y 0.880 * [taylor]: Taking taylor expansion of 0 in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [taylor]: Taking taylor expansion of 0 in y 0.887 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.887 * [taylor]: Taking taylor expansion of x in y 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.890 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.890 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of 1 in y 0.896 * [taylor]: Taking taylor expansion of 0 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 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.902 * [taylor]: Taking taylor expansion of 0 in y 0.903 * * * [progress]: simplifying candidates 0.903 * [simplify]: Simplifying using # : (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.908 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 0.913 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 0.930 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 1.025 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 1.027 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (+ (+ (* x x) (* y y)) (* y (+ y y))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (pow y 4) (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (pow x 2) (pow y 2)) (* y (+ y y)) (exp (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (pow x 2) (* y (+ y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (+ (pow x 2) (* y (+ y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (pow x 2) (+ (* x x) (* y y))) (pow y 4)) (* (pow x 2) (+ (pow x 2) (* y (+ y y)))) (pow x 2) (* y (+ y y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.027 * * * [progress]: adding candidates to table 1.096 * * [progress]: iteration 4 / 4 1.096 * * * [progress]: picking best candidate 1.102 * * * * [pick]: Picked # 1.102 * * * [progress]: localizing error 1.111 * * * [progress]: generating rewritten candidates 1.111 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.118 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.129 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.143 * * * [progress]: generating series expansions 1.143 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.144 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 1.144 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.144 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.144 * [taylor]: Taking taylor expansion of 3 in y 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.144 * [taylor]: Taking taylor expansion of y in y 1.145 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.145 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.145 * [taylor]: Taking taylor expansion of 3 in y 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.162 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.162 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.162 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.162 * [taylor]: Taking taylor expansion of 3 in y 1.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.164 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.164 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.164 * [taylor]: Taking taylor expansion of 3 in y 1.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.177 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.177 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.177 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.177 * [taylor]: Taking taylor expansion of 3 in y 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.179 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.179 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.179 * [taylor]: Taking taylor expansion of 3 in y 1.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.179 * [taylor]: Taking taylor expansion of y in y 1.191 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.193 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.193 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.193 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.193 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.193 * [taylor]: Taking taylor expansion of 3 in y 1.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.193 * [taylor]: Taking taylor expansion of y in y 1.193 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.193 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.193 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.193 * [taylor]: Taking taylor expansion of 3 in y 1.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.219 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.219 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.219 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.219 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.219 * [taylor]: Taking taylor expansion of 3 in y 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.220 * [taylor]: Taking taylor expansion of y in y 1.223 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.223 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.223 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.223 * [taylor]: Taking taylor expansion of 3 in y 1.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.224 * [taylor]: Taking taylor expansion of y in y 1.253 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.253 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.253 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.253 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.253 * [taylor]: Taking taylor expansion of 3 in y 1.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.254 * [taylor]: Taking taylor expansion of y in y 1.257 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.257 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.257 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.257 * [taylor]: Taking taylor expansion of 3 in y 1.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.258 * [taylor]: Taking taylor expansion of y in y 1.280 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.281 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.281 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.281 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.281 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.281 * [taylor]: Taking taylor expansion of 3 in x 1.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.282 * [taylor]: Taking taylor expansion of y in x 1.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.282 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.282 * [taylor]: Taking taylor expansion of x in y 1.282 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.282 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.282 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.282 * [taylor]: Taking taylor expansion of 3 in y 1.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.283 * [taylor]: Taking taylor expansion of y in y 1.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.283 * [taylor]: Taking taylor expansion of x in y 1.283 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.283 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.283 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.283 * [taylor]: Taking taylor expansion of 3 in y 1.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.284 * [taylor]: Taking taylor expansion of y in y 1.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of 0 in x 1.288 * [taylor]: Taking taylor expansion of 3 in x 1.291 * [taylor]: Taking taylor expansion of 0 in x 1.295 * [taylor]: Taking taylor expansion of 0 in x 1.297 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.297 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.297 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.297 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.297 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.297 * [taylor]: Taking taylor expansion of 3 in x 1.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.298 * [taylor]: Taking taylor expansion of y 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 1.301 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.301 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.301 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.301 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.301 * [taylor]: Taking taylor expansion of 3 in y 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.305 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.305 * [taylor]: Taking taylor expansion of x in y 1.305 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.305 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.305 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.305 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.305 * [taylor]: Taking taylor expansion of 3 in y 1.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.306 * [taylor]: Taking taylor expansion of y in y 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.309 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.309 * [taylor]: Taking taylor expansion of x in y 1.310 * [taylor]: Taking taylor expansion of 3 in x 1.312 * [taylor]: Taking taylor expansion of 0 in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.319 * [taylor]: Taking taylor expansion of 0 in x 1.329 * [taylor]: Taking taylor expansion of 0 in x 1.332 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.332 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.332 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.332 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.332 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.332 * [taylor]: Taking taylor expansion of 3 in x 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.333 * [taylor]: Taking taylor expansion of y in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.336 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.336 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.336 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.336 * [taylor]: Taking taylor expansion of 3 in y 1.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.337 * [taylor]: Taking taylor expansion of y in y 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.340 * [taylor]: Taking taylor expansion of x in y 1.340 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.340 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.340 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.340 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.340 * [taylor]: Taking taylor expansion of 3 in y 1.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.341 * [taylor]: Taking taylor expansion of y in y 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.344 * [taylor]: Taking taylor expansion of x in y 1.345 * [taylor]: Taking taylor expansion of 3 in x 1.347 * [taylor]: Taking taylor expansion of 0 in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of 0 in x 1.359 * [taylor]: Taking taylor expansion of 0 in x 1.360 * * * [progress]: simplifying candidates 1.361 * [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))) 1.366 * * [simplify]: iteration 0 : 263 enodes (cost 553 ) 1.371 * * [simplify]: iteration 1 : 1076 enodes (cost 421 ) 1.397 * * [simplify]: iteration 2 : 5001 enodes (cost 365 ) 1.400 * [simplify]: Simplified to: (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* (pow y 6) 3) (* (pow y 6) 3) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (pow y 6) 3) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (pow (exp (* (pow (cbrt 3) 3) y)) y) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* 27 (pow y 6)) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) 3 (* (cbrt 3) (* (cbrt 3) (* y y))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (pow (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) 3) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (+ (* (pow y 4) (pow (* (cbrt 3) (cbrt 3)) 3)) (* -3 (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (pow (* (cbrt 3) (cbrt 3)) 3) (* (* y y) (* y y)))) (+ (* (* (pow (cbrt 3) 3) y) y) (neg (pow x 2))) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.400 * * * [progress]: adding candidates to table 1.486 * [progress]: [Phase 3 of 3] Extracting. 1.486 * * [regime]: Finding splitpoints for: (# # # # # #) 1.487 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 1.487 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.508 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 1.521 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.541 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 1.559 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.580 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.599 * * * [regime]: Found split indices: #