19.310 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.029 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.031 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.032 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.033 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.035 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.037 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.038 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.041 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.043 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.046 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.051 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.077 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.294 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.295 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.298 * * [progress]: iteration 1 / 4 0.298 * * * [progress]: picking best candidate 0.299 * * * * [pick]: Picked # 0.299 * * * [progress]: localizing error 0.304 * * * [progress]: generating rewritten candidates 0.304 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.310 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.316 * * * [progress]: generating series expansions 0.316 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.316 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.316 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of 3 in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of 3 in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.323 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.323 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.323 * [taylor]: Taking taylor expansion of 3 in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of 3 in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.333 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 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 0.334 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of 3 in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.341 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.341 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of 3 in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.341 * [taylor]: Taking taylor expansion of x 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 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of 3 in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 0 in x 0.343 * [taylor]: Taking taylor expansion of 3 in x 0.345 * [taylor]: Taking taylor expansion of 0 in x 0.347 * [taylor]: Taking taylor expansion of 0 in x 0.347 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.348 * [taylor]: Taking taylor expansion of 3 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.348 * [taylor]: Taking taylor expansion of 3 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of 3 in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 3 in x 0.351 * [taylor]: Taking taylor expansion of 0 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 0.355 * [taylor]: Taking taylor expansion of 0 in x 0.358 * [taylor]: Taking taylor expansion of 0 in x 0.360 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.360 * [taylor]: Taking taylor expansion of 3 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.361 * [taylor]: Taking taylor expansion of 3 in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.361 * [taylor]: Taking taylor expansion of 3 in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of 3 in x 0.364 * [taylor]: Taking taylor expansion of 0 in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of 0 in x 0.371 * [taylor]: Taking taylor expansion of 0 in x 0.372 * * * [progress]: simplifying candidates 0.372 * [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))) 0.376 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.379 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.391 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.443 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.444 * [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))) 0.445 * * * [progress]: adding candidates to table 0.492 * * [progress]: iteration 2 / 4 0.492 * * * [progress]: picking best candidate 0.496 * * * * [pick]: Picked # 0.497 * * * [progress]: localizing error 0.502 * * * [progress]: generating rewritten candidates 0.502 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.507 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.512 * * * [progress]: generating series expansions 0.512 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.512 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.512 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.512 * [taylor]: Taking taylor expansion of 3 in y 0.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.512 * [taylor]: Taking taylor expansion of 3 in y 0.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.520 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.520 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of 3 in y 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of 3 in y 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.527 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.527 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.527 * [taylor]: Taking taylor expansion of 3 in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.528 * [taylor]: Taking taylor expansion of 3 in y 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.537 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.538 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.538 * [taylor]: Taking taylor expansion of 3 in x 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of 3 in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of 3 in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of 0 in x 0.539 * [taylor]: Taking taylor expansion of 3 in x 0.541 * [taylor]: Taking taylor expansion of 0 in x 0.543 * [taylor]: Taking taylor expansion of 0 in x 0.544 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.545 * [taylor]: Taking taylor expansion of 3 in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.545 * [taylor]: Taking taylor expansion of 3 in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.546 * [taylor]: Taking taylor expansion of 3 in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of 3 in x 0.548 * [taylor]: Taking taylor expansion of 0 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of 0 in x 0.555 * [taylor]: Taking taylor expansion of 0 in x 0.556 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.557 * [taylor]: Taking taylor expansion of 3 in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.557 * [taylor]: Taking taylor expansion of 3 in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.558 * [taylor]: Taking taylor expansion of 3 in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 3 in x 0.560 * [taylor]: Taking taylor expansion of 0 in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of 0 in x 0.568 * [taylor]: Taking taylor expansion of 0 in x 0.569 * * * [progress]: simplifying candidates 0.569 * [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))) 0.573 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.577 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.597 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.689 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.691 * [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))) 0.691 * * * [progress]: adding candidates to table 0.730 * * [progress]: iteration 3 / 4 0.730 * * * [progress]: picking best candidate 0.733 * * * * [pick]: Picked # 0.733 * * * [progress]: localizing error 0.742 * * * [progress]: generating rewritten candidates 0.742 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.748 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.760 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.775 * * * [progress]: generating series expansions 0.775 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.775 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 0.775 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.775 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.775 * [taylor]: Taking taylor expansion of 3 in y 0.776 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.776 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.776 * [taylor]: Taking taylor expansion of 3 in y 0.777 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.789 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.789 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.789 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.789 * [taylor]: Taking taylor expansion of 3 in y 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.791 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.791 * [taylor]: Taking taylor expansion of 3 in y 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.807 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.807 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.807 * [taylor]: Taking taylor expansion of 3 in y 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.809 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.809 * [taylor]: Taking taylor expansion of 3 in y 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.821 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.822 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.822 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.822 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.822 * [taylor]: Taking taylor expansion of 3 in y 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.823 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.823 * [taylor]: Taking taylor expansion of 3 in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.848 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.848 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.848 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.848 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.848 * [taylor]: Taking taylor expansion of 3 in y 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.852 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.852 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.852 * [taylor]: Taking taylor expansion of 3 in y 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.874 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.875 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.875 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.875 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.875 * [taylor]: Taking taylor expansion of 3 in y 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.881 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.881 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.881 * [taylor]: Taking taylor expansion of 3 in y 0.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.903 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.905 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 0.905 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 0.905 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.905 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.905 * [taylor]: Taking taylor expansion of 3 in x 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.905 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.905 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.905 * [taylor]: Taking taylor expansion of 3 in y 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.906 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.906 * [taylor]: Taking taylor expansion of 3 in y 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of 0 in x 0.911 * [taylor]: Taking taylor expansion of 3 in x 0.914 * [taylor]: Taking taylor expansion of 0 in x 0.918 * [taylor]: Taking taylor expansion of 0 in x 0.919 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.919 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.919 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.919 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.919 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.919 * [taylor]: Taking taylor expansion of 3 in x 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.923 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.923 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.923 * [taylor]: Taking taylor expansion of 3 in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.927 * [taylor]: Taking taylor expansion of x in y 0.927 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.927 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.927 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.927 * [taylor]: Taking taylor expansion of 3 in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [taylor]: Taking taylor expansion of 3 in x 0.933 * [taylor]: Taking taylor expansion of 0 in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of 0 in x 0.946 * [taylor]: Taking taylor expansion of 0 in x 0.948 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.948 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.948 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.948 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.948 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.948 * [taylor]: Taking taylor expansion of 3 in x 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.952 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.952 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.952 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.952 * [taylor]: Taking taylor expansion of 3 in y 0.952 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.956 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.956 * [taylor]: Taking taylor expansion of x in y 0.956 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.956 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.956 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.956 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.956 * [taylor]: Taking taylor expansion of 3 in y 0.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.963 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.963 * [taylor]: Taking taylor expansion of x in y 0.963 * [taylor]: Taking taylor expansion of 3 in x 0.965 * [taylor]: Taking taylor expansion of 0 in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of 0 in x 0.977 * [taylor]: Taking taylor expansion of 0 in x 0.978 * * * [progress]: simplifying candidates 0.979 * [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))) 0.984 * * [simplify]: iteration 0 : 263 enodes (cost 553 ) 0.989 * * [simplify]: iteration 1 : 1076 enodes (cost 421 ) 1.015 * * [simplify]: iteration 2 : 5001 enodes (cost 365 ) 1.017 * [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))) 1.017 * * * [progress]: adding candidates to table 1.099 * * [progress]: iteration 4 / 4 1.099 * * * [progress]: picking best candidate 1.100 * * * * [pick]: Picked # 1.100 * * * [progress]: localizing error 1.107 * * * [progress]: generating rewritten candidates 1.107 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.116 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.120 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.125 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.139 * * * [progress]: generating series expansions 1.139 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.140 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.140 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.140 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.140 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.140 * [taylor]: Taking taylor expansion of 3 in y 1.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.141 * [taylor]: Taking taylor expansion of y in y 1.141 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.141 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.141 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.141 * [taylor]: Taking taylor expansion of 3 in y 1.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.142 * [taylor]: Taking taylor expansion of y in y 1.161 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.161 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.161 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.161 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.161 * [taylor]: Taking taylor expansion of 3 in y 1.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.162 * [taylor]: Taking taylor expansion of y in y 1.164 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.164 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.164 * [taylor]: Taking taylor expansion of (sqrt 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 1.183 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 1.183 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.183 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.183 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.183 * [taylor]: Taking taylor expansion of 3 in y 1.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.184 * [taylor]: Taking taylor expansion of y in y 1.186 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.186 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.186 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.186 * [taylor]: Taking taylor expansion of 3 in y 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.187 * [taylor]: Taking taylor expansion of y in y 1.205 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.205 * [approximate]: Taking taylor expansion of (* (sqrt 3) y) in (y) around 0 1.205 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.205 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.205 * [taylor]: Taking taylor expansion of 3 in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.206 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.206 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.206 * [taylor]: Taking taylor expansion of 3 in y 1.207 * [taylor]: Taking taylor expansion of y in y 1.221 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 1.221 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.221 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.221 * [taylor]: Taking taylor expansion of 3 in y 1.222 * [taylor]: Taking taylor expansion of y in y 1.222 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.222 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.222 * [taylor]: Taking taylor expansion of 3 in y 1.223 * [taylor]: Taking taylor expansion of y in y 1.231 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in (y) around 0 1.231 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 1.231 * [taylor]: Taking taylor expansion of -1 in y 1.231 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.231 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.231 * [taylor]: Taking taylor expansion of 3 in y 1.232 * [taylor]: Taking taylor expansion of y in y 1.232 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 1.232 * [taylor]: Taking taylor expansion of -1 in y 1.233 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.233 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.233 * [taylor]: Taking taylor expansion of 3 in y 1.233 * [taylor]: Taking taylor expansion of y in y 1.246 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.247 * [approximate]: Taking taylor expansion of (* (sqrt 3) y) in (y) around 0 1.247 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.247 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.247 * [taylor]: Taking taylor expansion of 3 in y 1.247 * [taylor]: Taking taylor expansion of y in y 1.247 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.247 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.247 * [taylor]: Taking taylor expansion of 3 in y 1.248 * [taylor]: Taking taylor expansion of y in y 1.259 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 1.259 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.259 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.259 * [taylor]: Taking taylor expansion of 3 in y 1.260 * [taylor]: Taking taylor expansion of y in y 1.260 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.260 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.260 * [taylor]: Taking taylor expansion of 3 in y 1.261 * [taylor]: Taking taylor expansion of y in y 1.269 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in (y) around 0 1.269 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 1.269 * [taylor]: Taking taylor expansion of -1 in y 1.269 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.269 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.270 * [taylor]: Taking taylor expansion of 3 in y 1.270 * [taylor]: Taking taylor expansion of y in y 1.271 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) y)) in y 1.271 * [taylor]: Taking taylor expansion of -1 in y 1.271 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 1.271 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.271 * [taylor]: Taking taylor expansion of 3 in y 1.271 * [taylor]: Taking taylor expansion of y in y 1.285 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.285 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in x 1.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in x 1.286 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.286 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.286 * [taylor]: Taking taylor expansion of 3 in x 1.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.286 * [taylor]: Taking taylor expansion of y in x 1.286 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 1.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.286 * [taylor]: Taking taylor expansion of x in y 1.286 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.286 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.286 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.286 * [taylor]: Taking taylor expansion of 3 in y 1.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.287 * [taylor]: Taking taylor expansion of y in y 1.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) in y 1.287 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.287 * [taylor]: Taking taylor expansion of x in y 1.287 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 1.287 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.287 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.287 * [taylor]: Taking taylor expansion of 3 in y 1.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.288 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of 0 in x 1.298 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.298 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.298 * [taylor]: Taking taylor expansion of 3 in x 1.302 * [taylor]: Taking taylor expansion of 0 in x 1.306 * [taylor]: Taking taylor expansion of 0 in x 1.308 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 1.308 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.308 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.308 * [taylor]: Taking taylor expansion of 3 in x 1.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.309 * [taylor]: Taking taylor expansion of y in x 1.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.310 * [taylor]: Taking taylor expansion of x in y 1.311 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.311 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.311 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.311 * [taylor]: Taking taylor expansion of 3 in y 1.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.311 * [taylor]: Taking taylor expansion of y in y 1.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.313 * [taylor]: Taking taylor expansion of x in y 1.313 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.314 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.314 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.314 * [taylor]: Taking taylor expansion of 3 in y 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.318 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.318 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.318 * [taylor]: Taking taylor expansion of 3 in x 1.320 * [taylor]: Taking taylor expansion of 0 in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of 0 in x 1.332 * [taylor]: Taking taylor expansion of 0 in x 1.336 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in (y x) around 0 1.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) 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 1.337 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in x 1.337 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.337 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.337 * [taylor]: Taking taylor expansion of 3 in x 1.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.338 * [taylor]: Taking taylor expansion of y in x 1.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.339 * [taylor]: Taking taylor expansion of x in y 1.339 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.339 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.339 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.339 * [taylor]: Taking taylor expansion of 3 in y 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.340 * [taylor]: Taking taylor expansion of y in y 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (pow (sqrt 3) 2) (pow y 2))) in y 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.342 * [taylor]: Taking taylor expansion of x in y 1.342 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 1.342 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.342 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.342 * [taylor]: Taking taylor expansion of 3 in y 1.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.343 * [taylor]: Taking taylor expansion of y in y 1.346 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.346 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.346 * [taylor]: Taking taylor expansion of 3 in x 1.348 * [taylor]: Taking taylor expansion of 0 in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of 0 in x 1.360 * [taylor]: Taking taylor expansion of 0 in x 1.363 * * * [progress]: simplifying candidates 1.364 * [simplify]: Simplifying using # : (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y)) (+ 1 1) (+ 1 1) (+ (+ (log (sqrt 3)) (log y)) (+ (log (sqrt 3)) (log y))) (+ (+ (log (sqrt 3)) (log y)) (log (* (sqrt 3) y))) (+ (log (* (sqrt 3) y)) (+ (log (sqrt 3)) (log y))) (+ (log (* (sqrt 3) y)) (log (* (sqrt 3) y))) (log (* (* (sqrt 3) y) (* (sqrt 3) y))) (exp (* (* (sqrt 3) y) (* (sqrt 3) y))) (* (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y))) (* (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y)) (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y))) (* (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y))) (* (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y)) (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y))) (* (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y)))) (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (* (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y))) (* (* (sqrt 3) y) (* (sqrt 3) y))) (sqrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (sqrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (* (sqrt 3) (sqrt 3)) (* y y) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* (* (sqrt 3) y) (sqrt 3)) (* y (* (sqrt 3) y)) (* (sqrt 3) y) (+ (log (sqrt 3)) (log y)) (log (* (sqrt 3) y)) (exp (* (sqrt 3) y)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y)) (* (cbrt (* (sqrt 3) y)) (cbrt (* (sqrt 3) y))) (cbrt (* (sqrt 3) y)) (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt 3) (* (cbrt y) (cbrt y))) (* (sqrt 3) (sqrt y)) (* (sqrt 3) 1) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt 3) y) (+ (log (sqrt 3)) (log y)) (log (* (sqrt 3) y)) (exp (* (sqrt 3) y)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* y y) y)) (* (cbrt (* (sqrt 3) y)) (cbrt (* (sqrt 3) y))) (cbrt (* (sqrt 3) y)) (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt 3) (* (cbrt y) (cbrt y))) (* (sqrt 3) (sqrt y)) (* (sqrt 3) 1) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (exp (* (* (sqrt 3) y) (* (sqrt 3) y))) (exp (* x x))) (log (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (exp (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (* (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x)))) (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (* (* (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x)) (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (sqrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (sqrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (+ (pow (* (* (sqrt 3) y) (* (sqrt 3) y)) 3) (pow (* x x) 3)) (+ (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y))) (- (* (* x x) (* x x)) (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x)))) (- (* (* (* (sqrt 3) y) (* (sqrt 3) y)) (* (* (sqrt 3) y) (* (sqrt 3) y))) (* (* x x) (* x x))) (- (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) 1.369 * * [simplify]: iteration 0 : 215 enodes (cost 450 ) 1.375 * * [simplify]: iteration 1 : 1084 enodes (cost 352 ) 1.403 * * [simplify]: iteration 2 : 5002 enodes (cost 351 ) 1.406 * [simplify]: Simplified to: 2 2 2 2 (* (pow y 2) 3) (* (pow y 2) 3) (* (pow y 2) 3) (* (pow y 2) 3) 2 2 (* 2 (log (* (sqrt 3) y))) (* 2 (log (* (sqrt 3) y))) (* 2 (log (* (sqrt 3) y))) (* 2 (log (* (sqrt 3) y))) (* 2 (log (* (sqrt 3) y))) (pow (exp 3) (pow y 2)) (pow (* (pow y 2) 3) 3) (pow (* (pow y 2) 3) 3) (pow (* (pow y 2) 3) 3) (pow (* (pow y 2) 3) 3) (* (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y)))) (cbrt (* (* (sqrt 3) y) (* (sqrt 3) y))) (pow (* (pow y 2) 3) 3) (fabs (* (sqrt 3) y)) (fabs (* (sqrt 3) y)) 3 (pow y 2) 2 2 2 2 (* 3 y) (* y (* (sqrt 3) y)) (* (sqrt 3) y) (log (* (sqrt 3) y)) (log (* (sqrt 3) y)) (exp (* (sqrt 3) y)) (pow (* (sqrt 3) y) 3) (* (cbrt (* (sqrt 3) y)) (cbrt (* (sqrt 3) y))) (cbrt (* (sqrt 3) y)) (pow (* (sqrt 3) y) 3) (sqrt (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt 3) (* (cbrt y) (cbrt y))) (* (sqrt 3) (sqrt y)) (sqrt 3) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt 3) y) (log (* (sqrt 3) y)) (log (* (sqrt 3) y)) (exp (* (sqrt 3) y)) (pow (* (sqrt 3) y) 3) (* (cbrt (* (sqrt 3) y)) (cbrt (* (sqrt 3) y))) (cbrt (* (sqrt 3) y)) (pow (* (sqrt 3) y) 3) (sqrt (* (sqrt 3) y)) (sqrt (* (sqrt 3) y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt (sqrt 3)) (sqrt y)) (* (sqrt 3) (* (cbrt y) (cbrt y))) (* (sqrt 3) (sqrt y)) (sqrt 3) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (* (sqrt (sqrt 3)) y) (* (sqrt 3) y) (exp (+ (* (pow y 2) 3) (pow x 2))) (log (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (exp (+ (* (pow y 2) 3) (pow x 2))) (* (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x)))) (cbrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (pow (+ (pow x 2) (* (pow (sqrt 3) 2) (pow y 2))) 3) (sqrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (sqrt (+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))) (+ (pow (* (* (sqrt 3) y) (* (sqrt 3) y)) 3) (pow (* x x) 3)) (+ (+ (pow (* (sqrt 3) y) 4) (* -3 (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* 9 (* (pow y 2) (pow y 2)))) (- (* (pow y 2) 3) (pow x 2)) (* (pow y 2) 3) (* (pow y 2) 3) (* (pow y 2) 3) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (* (sqrt 3) y) (+ (* (pow y 2) 3) (pow x 2)) (+ (* (pow y 2) 3) (pow x 2)) (+ (* (pow y 2) 3) (pow x 2)) 1.406 * * * [progress]: adding candidates to table 1.523 * [progress]: [Phase 3 of 3] Extracting. 1.523 * * [regime]: Finding splitpoints for: (# # # #) 1.523 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.523 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 1.539 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.552 * * * * [regimes]: Trying to branch on y from (# # # #) 1.566 * * * * [regimes]: Trying to branch on x from (# # # #) 1.583 * * * [regime]: Found split indices: #