9.388 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.024 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.026 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.027 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.028 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.030 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.032 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.034 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.036 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.038 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.041 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.046 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.071 * * [simplify]: iteration 11 : 3197 enodes (cost 4 ) 0.290 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.291 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.293 * * [progress]: iteration 1 / 4 0.293 * * * [progress]: picking best candidate 0.296 * * * * [pick]: Picked # 0.296 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.314 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.319 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.324 * * * [progress]: generating series expansions 0.324 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.324 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.324 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.324 * [taylor]: Taking taylor expansion of x 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 0.324 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.324 * [taylor]: Taking taylor expansion of 3 in x 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.324 * [taylor]: Taking taylor expansion of 3 in x 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of 3 in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [taylor]: Taking taylor expansion of 1 in y 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.333 * [taylor]: Taking taylor expansion of 3 in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.334 * [taylor]: Taking taylor expansion of 3 in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.335 * [taylor]: Taking taylor expansion of 3 in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of 1 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.337 * [taylor]: Taking taylor expansion of 3 in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.346 * [taylor]: Taking taylor expansion of 3 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.347 * [taylor]: Taking taylor expansion of 3 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 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 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of 3 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.358 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.358 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of 2 in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of 2 in x 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of 2 in x 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of 2 in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [taylor]: Taking taylor expansion of 1 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of 2 in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.368 * [taylor]: Taking taylor expansion of 2 in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.368 * [taylor]: Taking taylor expansion of 2 in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of 1 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.371 * [taylor]: Taking taylor expansion of 2 in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.379 * [taylor]: Taking taylor expansion of 2 in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of 2 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of 2 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of 1 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.384 * [taylor]: Taking taylor expansion of 2 in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.397 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.397 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [taylor]: Taking taylor expansion of 1 in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of 1 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of 1 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.423 * * * [progress]: simplifying candidates 0.423 * [simplify]: Simplifying using # : (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.428 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 0.433 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 0.450 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 0.543 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 0.545 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (+ (+ (* x x) (* y y)) (* y (+ y y))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (pow y 4) (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (pow x 2) (pow y 2)) (* y (+ y y)) (exp (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (pow x 2) (* y (+ y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (+ (pow x 2) (* y (+ y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (pow x 2) (+ (* x x) (* y y))) (pow y 4)) (* (pow x 2) (+ (pow x 2) (* y (+ y y)))) (pow x 2) (* y (+ y y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.545 * * * [progress]: adding candidates to table 0.636 * * [progress]: iteration 2 / 4 0.636 * * * [progress]: picking best candidate 0.652 * * * * [pick]: Picked # 0.652 * * * [progress]: localizing error 0.661 * * * [progress]: generating rewritten candidates 0.661 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.668 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.673 * * * [progress]: generating series expansions 0.673 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.673 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.673 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.673 * [taylor]: Taking taylor expansion of 3 in y 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.674 * [taylor]: Taking taylor expansion of 3 in x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.674 * [taylor]: Taking taylor expansion of 3 in x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.674 * [taylor]: Taking taylor expansion of 3 in y 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of 0 in y 0.676 * [taylor]: Taking taylor expansion of 1 in y 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.682 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.682 * [taylor]: Taking taylor expansion of x in y 0.682 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.682 * [taylor]: Taking taylor expansion of 3 in y 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.684 * [taylor]: Taking taylor expansion of 3 in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.684 * [taylor]: Taking taylor expansion of y in x 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.684 * [taylor]: Taking taylor expansion of 3 in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.684 * [taylor]: Taking taylor expansion of y in x 0.685 * [taylor]: Taking taylor expansion of 1 in y 0.686 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.687 * [taylor]: Taking taylor expansion of 3 in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.695 * [taylor]: Taking taylor expansion of 3 in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.700 * [taylor]: Taking taylor expansion of 3 in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.701 * [taylor]: Taking taylor expansion of 3 in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.701 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.701 * [taylor]: Taking taylor expansion of y in x 0.701 * [taylor]: Taking taylor expansion of 1 in y 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.704 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.704 * [taylor]: Taking taylor expansion of 3 in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.710 * [taylor]: Taking taylor expansion of 0 in y 0.712 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.712 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.712 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.712 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.712 * [taylor]: Taking taylor expansion of x in y 0.712 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.712 * [taylor]: Taking taylor expansion of 2 in y 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.712 * [taylor]: Taking taylor expansion of 2 in x 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.712 * [taylor]: Taking taylor expansion of 2 in x 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.712 * [taylor]: Taking taylor expansion of 2 in y 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.713 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.714 * [taylor]: Taking taylor expansion of 1 in y 0.717 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.720 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.721 * [taylor]: Taking taylor expansion of 2 in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.722 * [taylor]: Taking taylor expansion of 2 in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.722 * [taylor]: Taking taylor expansion of 2 in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.723 * [taylor]: Taking taylor expansion of 1 in y 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.725 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.725 * [taylor]: Taking taylor expansion of 2 in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [taylor]: Taking taylor expansion of 0 in y 0.733 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.733 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.733 * [taylor]: Taking taylor expansion of 2 in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.734 * [taylor]: Taking taylor expansion of 2 in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.735 * [taylor]: Taking taylor expansion of 2 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of 1 in y 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.737 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.738 * [taylor]: Taking taylor expansion of 2 in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of 0 in y 0.745 * * * [progress]: simplifying candidates 0.746 * [simplify]: Simplifying using # : (* (* (exp (pow x 2)) (exp (* y (+ y y)))) (exp (* y y))) (* (exp (+ (pow x 2) (* y (+ y y)))) (exp (* y y))) (log (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (exp (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (* (cbrt (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (cbrt (+ (+ (pow x 2) (* y (+ y y))) (* y y)))) (cbrt (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (* (* (+ (+ (pow x 2) (* y (+ y y))) (* y y)) (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (sqrt (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (sqrt (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (+ (pow (+ (pow x 2) (* y (+ y y))) 3) (pow (* y y) 3)) (+ (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y)))) (- (* (* y y) (* y y)) (* (+ (pow x 2) (* y (+ y y))) (* y y)))) (- (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y)))) (* (* y y) (* y y))) (- (+ (pow x 2) (* y (+ y y))) (* y y)) (+ (* y (+ y y)) (* y y)) (* (exp (pow x 2)) (exp (* y (+ y y)))) (log (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (* (cbrt (+ (pow x 2) (* y (+ y y)))) (cbrt (+ (pow x 2) (* y (+ y y))))) (cbrt (+ (pow x 2) (* y (+ y y)))) (* (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y)))) (+ (pow x 2) (* y (+ y y)))) (sqrt (+ (pow x 2) (* y (+ y y)))) (sqrt (+ (pow x 2) (* y (+ y y)))) (+ (pow (pow x 2) 3) (pow (* y (+ y y)) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* y (+ y y)) (* y (+ y y))) (* (pow x 2) (* y (+ y y))))) (- (* (pow x 2) (pow x 2)) (* (* y (+ y y)) (* y (+ y y)))) (- (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.750 * * [simplify]: iteration 0 : 176 enodes (cost 234 ) 0.755 * * [simplify]: iteration 1 : 797 enodes (cost 216 ) 0.772 * * [simplify]: iteration 2 : 3779 enodes (cost 208 ) 0.881 * * [simplify]: iteration 3 : 5001 enodes (cost 204 ) 0.883 * [simplify]: Simplified to: (exp (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (exp (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (log (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (exp (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (* (cbrt (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (cbrt (+ (+ (pow x 2) (* y (+ y y))) (* y y)))) (cbrt (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (sqrt (+ (+ (pow x 2) (* y (+ y y))) (* y y))) (+ (pow (+ (pow x 2) (* y (+ y y))) 3) (pow (* y y) 3)) (+ (* (+ (pow x 2) (* y (+ y y))) (+ (* y (- (+ y y) y)) (pow x 2))) (pow y 4)) (* (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* y y))) (+ (pow x 2) (* y y)) (* (* 3 y) y) (exp (+ (pow x 2) (* y (+ y y)))) (log (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (* (cbrt (+ (pow x 2) (* y (+ y y)))) (cbrt (+ (pow x 2) (* y (+ y y))))) (cbrt (+ (pow x 2) (* y (+ y y)))) (pow (+ (pow x 2) (* y (+ y y))) 3) (sqrt (+ (pow x 2) (* y (+ y y)))) (sqrt (+ (pow x 2) (* y (+ y y)))) (+ (pow (pow x 2) 3) (pow (* y (+ y y)) 3)) (+ (* (* y (+ y y)) (- (* y (+ y y)) (pow x 2))) (pow x 4)) (+ (* (- (pow y 2)) (* 4 (pow y 2))) (pow x 4)) (- (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) 0.883 * * * [progress]: adding candidates to table 0.947 * * [progress]: iteration 3 / 4 0.948 * * * [progress]: picking best candidate 0.964 * * * * [pick]: Picked # 0.964 * * * [progress]: localizing error 0.975 * * * [progress]: generating rewritten candidates 0.975 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.982 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.987 * * * [progress]: generating series expansions 0.988 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.988 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.988 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.988 * [taylor]: Taking taylor expansion of x in y 0.988 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.988 * [taylor]: Taking taylor expansion of 3 in y 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.988 * [taylor]: Taking taylor expansion of 3 in x 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.988 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.988 * [taylor]: Taking taylor expansion of 3 in x 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.988 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.988 * [taylor]: Taking taylor expansion of 3 in y 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.991 * [taylor]: Taking taylor expansion of 1 in y 0.993 * [taylor]: Taking taylor expansion of 0 in y 0.996 * [taylor]: Taking taylor expansion of 0 in y 0.997 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.997 * [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 (* 3 (/ 1 (pow y 2))) in y 0.997 * [taylor]: Taking taylor expansion of 3 in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.998 * [taylor]: Taking taylor expansion of 3 in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.998 * [taylor]: Taking taylor expansion of y in x 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.999 * [taylor]: Taking taylor expansion of 3 in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.999 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.999 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of 1 in y 1.000 * [taylor]: Taking taylor expansion of 0 in y 1.001 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.001 * [taylor]: Taking taylor expansion of 3 in y 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.004 * [taylor]: Taking taylor expansion of 0 in y 1.007 * [taylor]: Taking taylor expansion of 0 in y 1.010 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 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 (/ 1 (pow y 2))) in y 1.010 * [taylor]: Taking taylor expansion of 3 in y 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.011 * [taylor]: Taking taylor expansion of 3 in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.011 * [taylor]: Taking taylor expansion of y in x 1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 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 (* 3 (/ 1 (pow y 2))) in x 1.012 * [taylor]: Taking taylor expansion of 3 in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.012 * [taylor]: Taking taylor expansion of y in x 1.012 * [taylor]: Taking taylor expansion of 1 in y 1.013 * [taylor]: Taking taylor expansion of 0 in y 1.014 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.014 * [taylor]: Taking taylor expansion of 3 in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of 0 in y 1.020 * [taylor]: Taking taylor expansion of 0 in y 1.022 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 1.022 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.022 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.022 * [taylor]: Taking taylor expansion of x in y 1.022 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.022 * [taylor]: Taking taylor expansion of 2 in y 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.022 * [taylor]: Taking taylor expansion of 2 in x 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.022 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.022 * [taylor]: Taking taylor expansion of 2 in x 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.023 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.023 * [taylor]: Taking taylor expansion of 2 in y 1.023 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of 0 in y 1.024 * [taylor]: Taking taylor expansion of 1 in y 1.027 * [taylor]: Taking taylor expansion of 0 in y 1.030 * [taylor]: Taking taylor expansion of 0 in y 1.030 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.030 * [taylor]: Taking taylor expansion of x in y 1.031 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.031 * [taylor]: Taking taylor expansion of 2 in y 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.032 * [taylor]: Taking taylor expansion of 2 in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.033 * [taylor]: Taking taylor expansion of 2 in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of 1 in y 1.034 * [taylor]: Taking taylor expansion of 0 in y 1.035 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.035 * [taylor]: Taking taylor expansion of 2 in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of 0 in y 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.047 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.047 * [taylor]: Taking taylor expansion of x in y 1.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.047 * [taylor]: Taking taylor expansion of 2 in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.049 * [taylor]: Taking taylor expansion of 2 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.049 * [taylor]: Taking taylor expansion of y in x 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.049 * [taylor]: Taking taylor expansion of 2 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.049 * [taylor]: Taking taylor expansion of y in x 1.050 * [taylor]: Taking taylor expansion of 1 in y 1.051 * [taylor]: Taking taylor expansion of 0 in y 1.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.052 * [taylor]: Taking taylor expansion of 2 in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of 0 in y 1.058 * [taylor]: Taking taylor expansion of 0 in y 1.060 * * * [progress]: simplifying candidates 1.060 * [simplify]: Simplifying using # : (* (exp (pow (+ (pow x 2) (* y (+ y y))) 1)) (exp (* y y))) (log (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (exp (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (* (cbrt (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (cbrt (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y)))) (cbrt (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (* (* (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y)) (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (sqrt (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (sqrt (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (+ (pow (pow (+ (pow x 2) (* y (+ y y))) 1) 3) (pow (* y y) 3)) (+ (* (pow (+ (pow x 2) (* y (+ y y))) 1) (pow (+ (pow x 2) (* y (+ y y))) 1)) (- (* (* y y) (* y y)) (* (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y)))) (- (* (pow (+ (pow x 2) (* y (+ y y))) 1) (pow (+ (pow x 2) (* y (+ y y))) 1)) (* (* y y) (* y y))) (- (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y)) (* (exp (pow x 2)) (exp (* y (+ y y)))) (log (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (* (cbrt (+ (pow x 2) (* y (+ y y)))) (cbrt (+ (pow x 2) (* y (+ y y))))) (cbrt (+ (pow x 2) (* y (+ y y)))) (* (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y)))) (+ (pow x 2) (* y (+ y y)))) (sqrt (+ (pow x 2) (* y (+ y y)))) (sqrt (+ (pow x 2) (* y (+ y y)))) (+ (pow (pow x 2) 3) (pow (* y (+ y y)) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* y (+ y y)) (* y (+ y y))) (* (pow x 2) (* y (+ y y))))) (- (* (pow x 2) (pow x 2)) (* (* y (+ y y)) (* y (+ y y)))) (- (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.064 * * [simplify]: iteration 0 : 179 enodes (cost 232 ) 1.068 * * [simplify]: iteration 1 : 910 enodes (cost 206 ) 1.089 * * [simplify]: iteration 2 : 4314 enodes (cost 202 ) 1.213 * * [simplify]: iteration 3 : 5001 enodes (cost 202 ) 1.214 * [simplify]: Simplified to: (* (exp (pow x 2)) (pow (exp (* y y)) 3)) (log (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (* (exp (pow x 2)) (pow (exp (* y y)) 3)) (* (cbrt (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (cbrt (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y)))) (cbrt (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (pow (+ (pow y 2) (+ (pow x 2) (* y (+ y y)))) 3) (sqrt (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (sqrt (+ (pow (+ (pow x 2) (* y (+ y y))) 1) (* y y))) (+ (pow (+ (pow x 2) (* y (+ y y))) 3) (pow y 6)) (+ (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (- (* y (+ y y)) (pow y 2)))) (pow y 4)) (- (pow (+ (pow x 2) (* y (+ y y))) 2) (pow y 4)) (+ (* y (- (+ y y) y)) (pow x 2)) (exp (+ (pow x 2) (* y (+ y y)))) (log (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (* (cbrt (+ (pow x 2) (* y (+ y y)))) (cbrt (+ (pow x 2) (* y (+ y y))))) (cbrt (+ (pow x 2) (* y (+ y y)))) (pow (+ (pow x 2) (* y (+ y y))) 3) (pow (+ (pow x 2) (* y (+ y y))) 1/2) (pow (+ (pow x 2) (* y (+ y y))) 1/2) (+ (pow (pow x 2) 3) (pow (* y (+ y y)) 3)) (+ (* (* y (+ y y)) (- (* y (+ y y)) (pow x 2))) (pow x 4)) (+ (* (- (pow y 2)) (* 4 (pow y 2))) (pow x 4)) (- (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) 1.214 * * * [progress]: adding candidates to table 1.284 * * [progress]: iteration 4 / 4 1.284 * * * [progress]: picking best candidate 1.295 * * * * [pick]: Picked # 1.296 * * * [progress]: localizing error 1.302 * * * [progress]: generating rewritten candidates 1.303 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.307 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.312 * * * [progress]: generating series expansions 1.312 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.312 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 1.312 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.312 * [taylor]: Taking taylor expansion of 3 in y 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.312 * [taylor]: Taking taylor expansion of y in y 1.312 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.312 * [taylor]: Taking taylor expansion of 3 in y 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.313 * [taylor]: Taking taylor expansion of y in y 1.324 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.324 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.324 * [taylor]: Taking taylor expansion of 3 in y 1.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.324 * [taylor]: Taking taylor expansion of y in y 1.325 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.325 * [taylor]: Taking taylor expansion of 3 in y 1.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.332 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.332 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.332 * [taylor]: Taking taylor expansion of 3 in y 1.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.332 * [taylor]: Taking taylor expansion of y in y 1.333 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.333 * [taylor]: Taking taylor expansion of 3 in y 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.340 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.340 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.340 * [taylor]: Taking taylor expansion of x in y 1.340 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.340 * [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 1.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.340 * [taylor]: Taking taylor expansion of 3 in x 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.340 * [taylor]: Taking taylor expansion of y in x 1.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.340 * [taylor]: Taking taylor expansion of 3 in x 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.340 * [taylor]: Taking taylor expansion of y in x 1.340 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.341 * [taylor]: Taking taylor expansion of 3 in y 1.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.341 * [taylor]: Taking taylor expansion of y in y 1.341 * [taylor]: Taking taylor expansion of 0 in y 1.342 * [taylor]: Taking taylor expansion of 1 in y 1.345 * [taylor]: Taking taylor expansion of 0 in y 1.348 * [taylor]: Taking taylor expansion of 0 in y 1.348 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.348 * [taylor]: Taking taylor expansion of x in y 1.349 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.349 * [taylor]: Taking taylor expansion of 3 in y 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.349 * [taylor]: Taking taylor expansion of y in y 1.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.350 * [taylor]: Taking taylor expansion of 3 in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.350 * [taylor]: Taking taylor expansion of y in x 1.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.350 * [taylor]: Taking taylor expansion of 3 in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.350 * [taylor]: Taking taylor expansion of y in x 1.351 * [taylor]: Taking taylor expansion of 1 in y 1.352 * [taylor]: Taking taylor expansion of 0 in y 1.353 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.353 * [taylor]: Taking taylor expansion of 3 in y 1.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.353 * [taylor]: Taking taylor expansion of y in y 1.356 * [taylor]: Taking taylor expansion of 0 in y 1.359 * [taylor]: Taking taylor expansion of 0 in y 1.361 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.361 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.361 * [taylor]: Taking taylor expansion of x in y 1.361 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.361 * [taylor]: Taking taylor expansion of 3 in y 1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.361 * [taylor]: Taking taylor expansion of y in y 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.362 * [taylor]: Taking taylor expansion of 3 in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.362 * [taylor]: Taking taylor expansion of y in x 1.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.363 * [taylor]: Taking taylor expansion of 3 in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.363 * [taylor]: Taking taylor expansion of y in x 1.364 * [taylor]: Taking taylor expansion of 1 in y 1.365 * [taylor]: Taking taylor expansion of 0 in y 1.366 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.366 * [taylor]: Taking taylor expansion of 3 in y 1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.366 * [taylor]: Taking taylor expansion of y in y 1.368 * [taylor]: Taking taylor expansion of 0 in y 1.372 * [taylor]: Taking taylor expansion of 0 in y 1.374 * * * [progress]: simplifying candidates 1.374 * [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 (pow x 2)) (exp (* (* 3 y) y))) (log (+ (pow x 2) (* (* 3 y) y))) (exp (+ (pow x 2) (* (* 3 y) y))) (* (cbrt (+ (pow x 2) (* (* 3 y) y))) (cbrt (+ (pow x 2) (* (* 3 y) y)))) (cbrt (+ (pow x 2) (* (* 3 y) y))) (* (* (+ (pow x 2) (* (* 3 y) y)) (+ (pow x 2) (* (* 3 y) y))) (+ (pow x 2) (* (* 3 y) y))) (sqrt (+ (pow x 2) (* (* 3 y) y))) (sqrt (+ (pow x 2) (* (* 3 y) y))) (+ (pow (pow x 2) 3) (pow (* (* 3 y) y) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (pow x 2) (* (* 3 y) y)))) (- (* (pow x 2) (pow x 2)) (* (* (* 3 y) y) (* (* 3 y) y))) (- (pow x 2) (* (* 3 y) y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.378 * * [simplify]: iteration 0 : 164 enodes (cost 157 ) 1.383 * * [simplify]: iteration 1 : 801 enodes (cost 141 ) 1.403 * * [simplify]: iteration 2 : 4166 enodes (cost 138 ) 1.509 * * [simplify]: iteration 3 : 5001 enodes (cost 137 ) 1.510 * [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 (+ (pow x 2) (* (* 3 y) y))) (log (+ (pow x 2) (* (* 3 y) y))) (exp (+ (pow x 2) (* (* 3 y) y))) (* (cbrt (+ (pow x 2) (* (* 3 y) y))) (cbrt (+ (pow x 2) (* (* 3 y) y)))) (cbrt (+ (pow x 2) (* (* 3 y) y))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* (* 3 y) y))) (sqrt (+ (pow x 2) (* (* 3 y) y))) (+ (pow (pow x 2) 3) (pow (* (* 3 y) y) 3)) (+ (* (* (* 3 y) y) (- (* (* 3 y) y) (pow x 2))) (pow x 4)) (+ (pow x 4) (- (* (* 9 (pow y 2)) (pow y 2)))) (- (pow x 2) (* (* 3 y) y)) (* (* 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))) 1.510 * * * [progress]: adding candidates to table 1.572 * [progress]: [Phase 3 of 3] Extracting. 1.572 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.574 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.574 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 1.604 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # #) 1.631 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 1.658 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.688 * * * [regime]: Found split indices: #