26.117 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.028 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.030 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.031 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.032 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.033 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.035 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.037 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.039 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.041 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.043 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.049 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.077 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.320 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.322 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.326 * * [progress]: iteration 1 / 4 0.326 * * * [progress]: picking best candidate 0.330 * * * * [pick]: Picked # 0.330 * * * [progress]: localizing error 0.335 * * * [progress]: generating rewritten candidates 0.335 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.340 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.346 * * * [progress]: generating series expansions 0.346 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.346 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.346 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of 3 in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of 3 in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.347 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.347 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of 3 in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of 3 in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.348 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.348 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of 3 in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of 3 in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [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 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.350 * [taylor]: Taking taylor expansion of 3 in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.350 * [taylor]: Taking taylor expansion of 0 in x 0.350 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.350 * [taylor]: Taking taylor expansion of 3 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.351 * [taylor]: Taking taylor expansion of 3 in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.351 * [taylor]: Taking taylor expansion of 3 in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 3 in x 0.351 * [taylor]: Taking taylor expansion of 0 in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.353 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.353 * [taylor]: Taking taylor expansion of 3 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.353 * [taylor]: Taking taylor expansion of 3 in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.354 * [taylor]: Taking taylor expansion of 3 in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 3 in x 0.354 * [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 0.354 * [taylor]: Taking taylor expansion of 0 in x 0.355 * [taylor]: Taking taylor expansion of 0 in x 0.355 * * * [progress]: simplifying candidates 0.356 * [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))) 0.359 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.362 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.376 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.432 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.434 * [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))) 0.434 * * * [progress]: adding candidates to table 0.474 * * [progress]: iteration 2 / 4 0.474 * * * [progress]: picking best candidate 0.486 * * * * [pick]: Picked # 0.486 * * * [progress]: localizing error 0.491 * * * [progress]: generating rewritten candidates 0.491 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.496 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.501 * * * [progress]: generating series expansions 0.502 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.504 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.504 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.504 * [taylor]: Taking taylor expansion of 3 in y 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.504 * [taylor]: Taking taylor expansion of 3 in y 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.505 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.505 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.505 * [taylor]: Taking taylor expansion of 3 in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.505 * [taylor]: Taking taylor expansion of 3 in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.506 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.506 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.506 * [taylor]: Taking taylor expansion of 3 in y 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.506 * [taylor]: Taking taylor expansion of 3 in y 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.507 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.507 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.507 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.507 * [taylor]: Taking taylor expansion of 3 in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.507 * [taylor]: Taking taylor expansion of 3 in y 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.507 * [taylor]: Taking taylor expansion of 3 in y 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of 0 in x 0.507 * [taylor]: Taking taylor expansion of 3 in x 0.508 * [taylor]: Taking taylor expansion of 0 in x 0.508 * [taylor]: Taking taylor expansion of 0 in x 0.508 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.508 * [taylor]: Taking taylor expansion of 3 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.508 * [taylor]: Taking taylor expansion of 3 in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.509 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.509 * [taylor]: Taking taylor expansion of x in y 0.509 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.509 * [taylor]: Taking taylor expansion of 3 in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of 3 in x 0.509 * [taylor]: Taking taylor expansion of 0 in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 0 in x 0.510 * [taylor]: Taking taylor expansion of 0 in x 0.510 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.510 * [taylor]: Taking taylor expansion of 3 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.510 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.511 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.511 * [taylor]: Taking taylor expansion of 3 in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.511 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.511 * [taylor]: Taking taylor expansion of 3 in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of 3 in x 0.511 * [taylor]: Taking taylor expansion of 0 in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 0 in x 0.512 * [taylor]: Taking taylor expansion of 0 in x 0.513 * * * [progress]: simplifying candidates 0.513 * [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))) 0.516 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.521 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.541 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.637 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.640 * [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))) 0.640 * * * [progress]: adding candidates to table 0.683 * * [progress]: iteration 3 / 4 0.683 * * * [progress]: picking best candidate 0.695 * * * * [pick]: Picked # 0.695 * * * [progress]: localizing error 0.704 * * * [progress]: generating rewritten candidates 0.704 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.712 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.723 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.736 * * * [progress]: generating series expansions 0.736 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.736 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 0.736 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.736 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.736 * [taylor]: Taking taylor expansion of 3 in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.736 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.736 * [taylor]: Taking taylor expansion of 3 in y 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.738 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.738 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.738 * [taylor]: Taking taylor expansion of 3 in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.738 * [taylor]: Taking taylor expansion of 3 in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.740 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.740 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.740 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.740 * [taylor]: Taking taylor expansion of 3 in y 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.740 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.740 * [taylor]: Taking taylor expansion of 3 in y 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.741 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.741 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.741 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.741 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.741 * [taylor]: Taking taylor expansion of 3 in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.741 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.741 * [taylor]: Taking taylor expansion of 3 in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.744 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.744 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.744 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.744 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.744 * [taylor]: Taking taylor expansion of 3 in y 0.744 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.745 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.745 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.745 * [taylor]: Taking taylor expansion of 3 in y 0.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.747 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.747 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.747 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.747 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.747 * [taylor]: Taking taylor expansion of 3 in y 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.748 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.748 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.748 * [taylor]: Taking taylor expansion of 3 in y 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.750 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.750 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 0.750 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 0.751 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.751 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.751 * [taylor]: Taking taylor expansion of 3 in x 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.751 * [taylor]: Taking taylor expansion of y in x 0.751 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.751 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.751 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.751 * [taylor]: Taking taylor expansion of 3 in y 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.751 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.751 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.751 * [taylor]: Taking taylor expansion of 3 in y 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of 0 in x 0.751 * [taylor]: Taking taylor expansion of 3 in x 0.752 * [taylor]: Taking taylor expansion of 0 in x 0.752 * [taylor]: Taking taylor expansion of 0 in x 0.753 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.753 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.753 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.753 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.753 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.753 * [taylor]: Taking taylor expansion of 3 in x 0.753 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.753 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.753 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.753 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.753 * [taylor]: Taking taylor expansion of 3 in y 0.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.754 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.754 * [taylor]: Taking taylor expansion of x in y 0.754 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.754 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.754 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.754 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.754 * [taylor]: Taking taylor expansion of 3 in y 0.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.754 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.754 * [taylor]: Taking taylor expansion of x in y 0.754 * [taylor]: Taking taylor expansion of 3 in x 0.754 * [taylor]: Taking taylor expansion of 0 in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of 0 in x 0.756 * [taylor]: Taking taylor expansion of 0 in x 0.756 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.757 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.757 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.757 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.757 * [taylor]: Taking taylor expansion of 3 in x 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.758 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.758 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.758 * [taylor]: Taking taylor expansion of 3 in y 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.758 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.758 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.758 * [taylor]: Taking taylor expansion of 3 in y 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.759 * [taylor]: Taking taylor expansion of x in y 0.759 * [taylor]: Taking taylor expansion of 3 in x 0.759 * [taylor]: Taking taylor expansion of 0 in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of 0 in x 0.761 * [taylor]: Taking taylor expansion of 0 in x 0.761 * * * [progress]: simplifying candidates 0.762 * [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))) 0.766 * * [simplify]: iteration 0 : 263 enodes (cost 553 ) 0.771 * * [simplify]: iteration 1 : 1076 enodes (cost 421 ) 0.797 * * [simplify]: iteration 2 : 5001 enodes (cost 365 ) 0.800 * [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))) 0.800 * * * [progress]: adding candidates to table 0.883 * * [progress]: iteration 4 / 4 0.883 * * * [progress]: picking best candidate 0.894 * * * * [pick]: Picked # 0.894 * * * [progress]: localizing error 0.903 * * * [progress]: generating rewritten candidates 0.903 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.908 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.927 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.937 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.959 * * * [progress]: generating series expansions 0.959 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.959 * [approximate]: Taking taylor expansion of (* (cbrt 3) y) in (y) around 0 0.959 * [taylor]: Taking taylor expansion of (* (cbrt 3) y) in y 0.959 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.959 * [taylor]: Taking taylor expansion of 3 in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of (* (cbrt 3) y) in y 0.960 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.960 * [taylor]: Taking taylor expansion of 3 in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.962 * [approximate]: Taking taylor expansion of (/ (cbrt 3) y) in (y) around 0 0.962 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 0.962 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.962 * [taylor]: Taking taylor expansion of 3 in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 0.962 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.962 * [taylor]: Taking taylor expansion of 3 in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.964 * [approximate]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in (y) around 0 0.964 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in y 0.964 * [taylor]: Taking taylor expansion of -1 in y 0.964 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 0.964 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.964 * [taylor]: Taking taylor expansion of 3 in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.964 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt 3) y)) in y 0.964 * [taylor]: Taking taylor expansion of -1 in y 0.964 * [taylor]: Taking taylor expansion of (/ (cbrt 3) y) in y 0.964 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.964 * [taylor]: Taking taylor expansion of 3 in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.967 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.967 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.967 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.967 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.967 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.967 * [taylor]: Taking taylor expansion of 3 in y 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.967 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.967 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.967 * [taylor]: Taking taylor expansion of 3 in y 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.972 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.972 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.972 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.972 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.972 * [taylor]: Taking taylor expansion of 3 in y 0.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.973 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.973 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.973 * [taylor]: Taking taylor expansion of 3 in y 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.982 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.982 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.982 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.982 * [taylor]: Taking taylor expansion of 3 in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.982 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.982 * [taylor]: Taking taylor expansion of 3 in y 0.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.987 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.987 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 0.987 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.987 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.987 * [taylor]: Taking taylor expansion of 3 in y 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.987 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.987 * [taylor]: Taking taylor expansion of 3 in y 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.989 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.990 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.990 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.990 * [taylor]: Taking taylor expansion of 3 in y 0.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.990 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.990 * [taylor]: Taking taylor expansion of 3 in y 0.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.992 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.993 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.993 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.993 * [taylor]: Taking taylor expansion of 3 in y 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.993 * [taylor]: Taking taylor expansion of y in y 0.993 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.993 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.993 * [taylor]: Taking taylor expansion of 3 in y 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.993 * [taylor]: Taking taylor expansion of y in y 0.995 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.996 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 0.996 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 0.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 0.996 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.996 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.996 * [taylor]: Taking taylor expansion of 3 in x 0.996 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.996 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.996 * [taylor]: Taking taylor expansion of x in y 0.996 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.996 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.996 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.996 * [taylor]: Taking taylor expansion of 3 in y 0.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.996 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.997 * [taylor]: Taking taylor expansion of x in y 0.997 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.997 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.997 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.997 * [taylor]: Taking taylor expansion of 3 in y 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of 0 in x 0.998 * [taylor]: Taking taylor expansion of 3 in x 0.999 * [taylor]: Taking taylor expansion of 0 in x 0.999 * [taylor]: Taking taylor expansion of 0 in x 1.000 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.000 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.000 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.000 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.000 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.000 * [taylor]: Taking taylor expansion of 3 in x 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.000 * [taylor]: Taking taylor expansion of y in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.001 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.001 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.001 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.001 * [taylor]: Taking taylor expansion of 3 in y 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.002 * [taylor]: Taking taylor expansion of x in y 1.002 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.002 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.002 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.002 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.002 * [taylor]: Taking taylor expansion of 3 in y 1.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.003 * [taylor]: Taking taylor expansion of x in y 1.003 * [taylor]: Taking taylor expansion of 3 in x 1.003 * [taylor]: Taking taylor expansion of 0 in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of 0 in x 1.006 * [taylor]: Taking taylor expansion of 0 in x 1.007 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.007 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.007 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.007 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.007 * [taylor]: Taking taylor expansion of 3 in x 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.008 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.008 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.008 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.008 * [taylor]: Taking taylor expansion of 3 in y 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.008 * [taylor]: Taking taylor expansion of y in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.009 * [taylor]: Taking taylor expansion of x in y 1.009 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.009 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.009 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.009 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.009 * [taylor]: Taking taylor expansion of 3 in y 1.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.010 * [taylor]: Taking taylor expansion of x in y 1.010 * [taylor]: Taking taylor expansion of 3 in x 1.010 * [taylor]: Taking taylor expansion of 0 in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of 0 in x 1.014 * [taylor]: Taking taylor expansion of 0 in x 1.014 * * * [progress]: simplifying candidates 1.016 * [simplify]: Simplifying using # : (* (cbrt 3) y) (+ (log (cbrt 3)) (log y)) (log (* (cbrt 3) y)) (exp (* (cbrt 3) y)) (* 3 (* (* y y) y)) (* (cbrt (* (cbrt 3) y)) (cbrt (* (cbrt 3) y))) (cbrt (* (cbrt 3) y)) (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (cbrt 3) (* (cbrt y) (cbrt y))) (* (cbrt 3) (sqrt y)) (* (cbrt 3) 1) (* (cbrt (cbrt 3)) y) (* (cbrt (sqrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (+ (log (cbrt 3)) (log y)) (log y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (* (cbrt 3) y)) (log y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (log (* (* (cbrt 3) y) y))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (+ (log (cbrt 3)) (log y)) (log y))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (* (cbrt 3) y)) (log y))) (+ (log (* (cbrt 3) (cbrt 3))) (log (* (* (cbrt 3) y) y))) (log (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (exp (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* 3 3) (* (* 3 (* (* y y) y)) (* (* y y) y))) (* (* 3 3) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (* (* y y) y))) (* (* 3 3) (* (* (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* 3 (* (* y y) y)) (* (* y y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (* (* y y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y))) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) y)) (* (cbrt 3) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (+ (+ (log (cbrt 3)) (log y)) (log y)) (+ (log (* (cbrt 3) y)) (log y)) (log (* (* (cbrt 3) y) y)) (exp (* (* (cbrt 3) y) y)) (* (* 3 (* (* y y) y)) (* (* y y) y)) (* (* (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (cbrt 3) y)) (* (* y y) y)) (* (cbrt (* (* (cbrt 3) y) y)) (cbrt (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) y) y)) (* (* (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) y)) (sqrt (* (* (cbrt 3) y) y)) (sqrt (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) (* (cbrt y) (cbrt y))) (* (* (cbrt 3) y) (sqrt y)) (* (* (cbrt 3) y) 1) (* y y) (* (exp (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (exp (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (* (* (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) 3) (pow (* x x) 3)) (+ (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (- (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* (* x x) (* x x))) (- (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) (* (cbrt 3) y) (* (cbrt 3) y) (* (cbrt 3) y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.024 * * [simplify]: iteration 0 : 304 enodes (cost 633 ) 1.037 * * [simplify]: iteration 1 : 1584 enodes (cost 536 ) 1.079 * * [simplify]: iteration 2 : 5002 enodes (cost 433 ) 1.082 * [simplify]: Simplified to: (* (cbrt 3) y) (log (* (cbrt 3) y)) (log (* (cbrt 3) y)) (exp (* (cbrt 3) y)) (* (pow y 3) 3) (* (cbrt (* (cbrt 3) y)) (cbrt (* (cbrt 3) y))) (cbrt (* (cbrt 3) y)) (* (pow y 3) 3) (sqrt (* (cbrt 3) y)) (sqrt (* (cbrt 3) y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (cbrt (sqrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (sqrt (cbrt 3)) (sqrt y)) (* (cbrt 3) (* (cbrt y) (cbrt y))) (* (cbrt 3) (sqrt y)) (cbrt 3) (* (cbrt (cbrt 3)) y) (* (cbrt (sqrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (+ (log (pow (cbrt 3) 3)) (log (pow y 2))) (pow (exp (pow (cbrt 3) 3)) (pow y 2)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* 27 (pow y 6)) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))) (* 3 y) (* (* (cbrt 3) y) (* (cbrt 3) y)) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (log (* (* (cbrt 3) y) y)) (log (* (* (cbrt 3) y) y)) (log (* (* (cbrt 3) y) y)) (exp (* (* (cbrt 3) y) y)) (* (pow y 6) 3) (* (pow y 6) 3) (* (cbrt (* (* (cbrt 3) y) y)) (cbrt (* (* (cbrt 3) y) y))) (cbrt (* (* (cbrt 3) y) y)) (* (pow y 6) 3) (sqrt (* (* (cbrt 3) y) y)) (sqrt (* (* (cbrt 3) y) y)) (* (* (cbrt 3) y) (* (cbrt y) (cbrt y))) (* (* (cbrt 3) y) (sqrt y)) (* (cbrt 3) y) (pow y 2) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (pow (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) 3) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) 3) (pow (* x x) 3)) (+ (pow x 4) (- (* (pow (* (cbrt 3) (cbrt 3)) 3) (* (pow y 2) (pow y 2))) (* (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)))) (+ (* (neg (pow x 3)) x) (* (cbrt 3) (* (pow (cbrt 3) 3) (* (* (* (cbrt 3) y) (cbrt 3)) (pow y 3))))) (- (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x)) (* (cbrt 3) y) (* (cbrt 3) y) (* (cbrt 3) y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (* (* (cbrt 3) y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.082 * * * [progress]: adding candidates to table 1.189 * [progress]: [Phase 3 of 3] Extracting. 1.189 * * [regime]: Finding splitpoints for: (# # # # # #) 1.190 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.190 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.234 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.275 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.319 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.366 * * * [regime]: Found split indices: #