0.709 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.032 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.033 * * [simplify]: iteration 1 : 16 enodes (cost 3 ) 0.034 * * [simplify]: iteration 2 : 26 enodes (cost 3 ) 0.035 * * [simplify]: iteration 3 : 33 enodes (cost 3 ) 0.036 * * [simplify]: iteration 4 : 33 enodes (cost 3 ) 0.037 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.247 * * * [progress]: generating series expansions 0.247 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.252 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.253 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.253 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (neg y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of 1 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of 1 in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of 1 in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.259 * * * [progress]: simplifying candidates 0.260 * [simplify]: Simplifying using # : (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (neg y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (neg y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.262 * * [simplify]: iteration 0 : 73 enodes (cost 63 ) 0.264 * * [simplify]: iteration 1 : 216 enodes (cost 56 ) 0.267 * * [simplify]: iteration 2 : 535 enodes (cost 56 ) 0.278 * * [simplify]: iteration 3 : 1794 enodes (cost 56 ) 0.318 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.319 * [simplify]: Simplified to: (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (pow x 2) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (+ (pow x 4) (* (* x x) y)) (* y y)) (- 0 y) (+ (neg (* y y)) (pow x 4)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- 0 y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.319 * * * [progress]: adding candidates to table 0.338 * * [progress]: iteration 2 / 4 0.338 * * * [progress]: picking best candidate 0.341 * * * * [pick]: Picked # 0.341 * * * [progress]: localizing error 0.351 * * * [progress]: generating rewritten candidates 0.351 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.362 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.368 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.373 * * * [progress]: generating series expansions 0.373 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.374 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in (y x) around 0 0.374 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in x 0.374 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 0.374 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 0.375 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (neg 1) in x 0.376 * [taylor]: Taking taylor expansion of 1 in x 0.376 * [taylor]: Taking taylor expansion of 0 in x 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.378 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.378 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.378 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [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 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 (/ 1 y) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.379 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.379 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.379 * [taylor]: Taking taylor expansion of x 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 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 (/ 1 y) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of -1 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 0.380 * [taylor]: Taking taylor expansion of 0 in x 0.381 * [taylor]: Taking taylor expansion of 0 in x 0.382 * [taylor]: Taking taylor expansion of 0 in x 0.383 * [taylor]: Taking taylor expansion of 0 in x 0.384 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.384 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.384 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.385 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.386 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of 1 in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 0 in x 0.388 * [taylor]: Taking taylor expansion of 0 in x 0.393 * [taylor]: Taking taylor expansion of 0 in x 0.395 * [taylor]: Taking taylor expansion of 0 in x 0.395 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.395 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (y x) around 0 0.395 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of 0 in x 0.396 * [taylor]: Taking taylor expansion of (neg 1) in x 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.396 * [taylor]: Taking taylor expansion of 0 in x 0.396 * [taylor]: Taking taylor expansion of 0 in x 0.397 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.397 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.397 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.397 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (neg 1) in x 0.397 * [taylor]: Taking taylor expansion of 1 in x 0.398 * [taylor]: Taking taylor expansion of 0 in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of 0 in x 0.399 * [taylor]: Taking taylor expansion of 0 in x 0.399 * [taylor]: Taking taylor expansion of 0 in x 0.400 * [taylor]: Taking taylor expansion of 0 in x 0.401 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.401 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.401 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.401 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (neg 1) in x 0.402 * [taylor]: Taking taylor expansion of 1 in x 0.402 * [taylor]: Taking taylor expansion of 0 in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of 0 in x 0.403 * [taylor]: Taking taylor expansion of 0 in x 0.403 * [taylor]: Taking taylor expansion of 0 in x 0.404 * [taylor]: Taking taylor expansion of 0 in x 0.405 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.405 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of 1 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of 1 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of 1 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.408 * * * [progress]: simplifying candidates 0.409 * [simplify]: Simplifying using # : (- (log (+ (neg (* y y)) (pow x 4))) (log (+ (* x x) y))) (log (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (exp (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (/ (* (* (+ (neg (* y y)) (pow x 4)) (+ (neg (* y y)) (pow x 4))) (+ (neg (* y y)) (pow x 4))) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))) (* (cbrt (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (cbrt (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y)))) (cbrt (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (* (* (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y)) (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (sqrt (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (sqrt (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (neg (+ (neg (* y y)) (pow x 4))) (neg (+ (* x x) y)) (/ 0 (+ (* x x) y)) (/ (- (* y y) (pow x 4)) (+ (* x x) y)) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (* x x) y))) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (sqrt (+ (* x x) y))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (sqrt (+ (* x x) y))) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) 1) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (+ (* x x) y)) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (* x x) y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (+ (* x x) y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (+ (* x x) y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) 1) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (+ (* x x) y)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (+ (neg (* y y)) (pow x 4)) (cbrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ (+ (neg (* y y)) (pow x 4)) (sqrt (+ (* x x) y))) (/ 1 1) (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (+ (neg (* y y)) (pow x 4)) (cbrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ (+ (neg (* y y)) (pow x 4)) (sqrt (+ (* x x) y))) (/ 1 1) (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y)) (/ 1 (+ (* x x) y)) (/ (+ (* x x) y) (+ (neg (* y y)) (pow x 4))) (/ (+ (neg (* y y)) (pow x 4)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (+ (neg (* y y)) (pow x 4)) (sqrt (+ (* x x) y))) (/ (+ (neg (* y y)) (pow x 4)) 1) (/ (+ (* x x) y) (cbrt (+ (neg (* y y)) (pow x 4)))) (/ (+ (* x x) y) (sqrt (+ (neg (* y y)) (pow x 4)))) (/ (+ (* x x) y) (+ (neg (* y y)) (pow x 4))) (/ (+ (* x x) y) (+ (neg (* y y)) (pow x 4))) (/ (+ (neg (* y y)) (pow x 4)) (+ (pow (* x x) 3) (pow y 3))) (/ (+ (neg (* y y)) (pow x 4)) (- (* (* x x) (* x x)) (* y y))) (* (+ (* x x) y) (+ (* (neg (* y y)) (neg (* y y))) (- (* (pow x 4) (pow x 4)) (* (neg (* y y)) (pow x 4))))) (* (+ (* x x) y) (- (neg (* y y)) (pow x 4))) (* (/ 1 (exp (* y y))) (exp (pow x 4))) (* (exp (neg (* y y))) (exp (pow x 4))) (log (+ (neg (* y y)) (pow x 4))) (exp (+ (neg (* y y)) (pow x 4))) (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (cbrt (+ (neg (* y y)) (pow x 4))) (* (* (+ (neg (* y y)) (pow x 4)) (+ (neg (* y y)) (pow x 4))) (+ (neg (* y y)) (pow x 4))) (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (+ (neg (* y y)) (pow x 4))) (+ (pow (neg (* y y)) 3) (pow (pow x 4) 3)) (+ (* (neg (* y y)) (neg (* y y))) (- (* (pow x 4) (pow x 4)) (* (neg (* y y)) (pow x 4)))) (- (* (neg (* y y)) (neg (* y y))) (* (pow x 4) (pow x 4))) (- (neg (* y y)) (pow x 4)) (+ (neg (* y y)) (pow x 4)) (- (* y y) (pow x 4)) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (* -1 (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.413 * * [simplify]: iteration 0 : 263 enodes (cost 582 ) 0.419 * * [simplify]: iteration 1 : 1316 enodes (cost 506 ) 0.446 * * [simplify]: iteration 2 : 5002 enodes (cost 488 ) 0.449 * [simplify]: Simplified to: (log (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (log (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (exp (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (pow (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) 3) (* (cbrt (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (cbrt (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y)))) (cbrt (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (pow (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) 3) (sqrt (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (sqrt (/ (+ (neg (* y y)) (pow x 4)) (+ (* x x) y))) (- (pow y 2) (pow x 4)) (neg (+ (* x x) y)) 0 (/ (- (* y y) (pow x 4)) (+ (* x x) y)) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (* x x) y))) (/ (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (sqrt (+ (* x x) y))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (sqrt (+ (* x x) y))) (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (/ (cbrt (+ (neg (* y y)) (pow x 4))) (+ (* x x) y)) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (* x x) y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (+ (* x x) y))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (+ (* x x) y))) (sqrt (+ (neg (* y y)) (pow x 4))) (/ (sqrt (+ (neg (* y y)) (pow x 4))) (+ (* x x) y)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow x 4) (pow y 2)) (cbrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (+ (* x x) y))) 1 (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (- (pow x 4) (pow y 2)) (cbrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (+ (* x x) y))) 1 (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) (/ 1 (+ (* x x) y)) (/ 1 (- (pow x 2) y)) (/ (/ (- (pow x 4) (pow y 2)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (+ (* x x) y))) (- (pow x 4) (pow y 2)) (/ (+ (* x x) y) (cbrt (+ (neg (* y y)) (pow x 4)))) (/ (+ (* x x) y) (sqrt (+ (neg (* y y)) (pow x 4)))) (/ 1 (- (pow x 2) y)) (/ 1 (- (pow x 2) y)) (/ (- (pow x 4) (pow y 2)) (+ (pow (* x x) 3) (pow y 3))) 1 (* (+ (pow x 8) (+ (* (pow y 2) (pow x 4)) (pow y 4))) (+ (pow x 2) y)) (* (+ (* x x) y) (- (neg (* y y)) (pow x 4))) (exp (- (pow x 4) (pow y 2))) (exp (- (pow x 4) (pow y 2))) (log (- (pow x 4) (pow y 2))) (exp (- (pow x 4) (pow y 2))) (* (cbrt (+ (neg (* y y)) (pow x 4))) (cbrt (+ (neg (* y y)) (pow x 4)))) (cbrt (+ (neg (* y y)) (pow x 4))) (pow (- (pow x 4) (pow y 2)) 3) (sqrt (+ (neg (* y y)) (pow x 4))) (sqrt (+ (neg (* y y)) (pow x 4))) (- (pow (pow x 4) 3) (pow (pow y 2) 3)) (+ (pow x 8) (+ (* (pow y 2) (pow x 4)) (pow y 4))) (+ (neg (pow x 8)) (pow y 4)) (- (neg (* y y)) (pow x 4)) (- (pow x 4) (pow y 2)) (- (pow y 2) (pow x 4)) (exp (+ (* x x) y)) (log (+ (pow x 2) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (pow x 2) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (* -1 (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.449 * * * [progress]: adding candidates to table 0.544 * [progress]: [Phase 3 of 3] Extracting. 0.545 * * [regime]: Finding splitpoints for: (# #) 0.545 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 0.545 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.579 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# #) 0.613 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# #) 0.645 * * * * [regimes]: Trying to branch on y from (# #) 0.677 * * * * [regimes]: Trying to branch on x from (# #) 0.707 * * * [regime]: Found split indices: #