12.153 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.018 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.040 * [taylor]: Taking taylor expansion of 1/2 in y 0.040 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.044 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.052 * [taylor]: Taking taylor expansion of 1/2 in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of -1/8 in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.062 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.070 * [taylor]: Taking taylor expansion of -1/2 in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of -1/8 in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * * * [progress]: simplifying candidates 0.077 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.080 * * [simplify]: iteration 0 : 116 enodes (cost 95 ) 0.082 * * [simplify]: iteration 1 : 334 enodes (cost 90 ) 0.088 * * [simplify]: iteration 2 : 997 enodes (cost 89 ) 0.110 * * [simplify]: iteration 3 : 3969 enodes (cost 87 ) 0.211 * * [simplify]: iteration 4 : 5002 enodes (cost 87 ) 0.212 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* +nan.0 (- (- (pow y 2) y) (pow x 2))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.212 * * * [progress]: adding candidates to table 0.247 * * [progress]: iteration 2 / 4 0.247 * * * [progress]: picking best candidate 0.254 * * * * [pick]: Picked # 0.254 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.271 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.280 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.342 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.358 * * * [progress]: generating series expansions 0.358 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.358 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in y 0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.359 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.359 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.362 * [taylor]: Taking taylor expansion of 1/2 in y 0.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.366 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 0.366 * [taylor]: Taking taylor expansion of x in y 0.366 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 (/ 1 y) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of 1 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.374 * [taylor]: Taking taylor expansion of 1/2 in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of -1/8 in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.379 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 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 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.381 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) 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 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of 1 in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.391 * [taylor]: Taking taylor expansion of -1/2 in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of -1/8 in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.397 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in y 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.400 * [taylor]: Taking taylor expansion of 1/2 in y 0.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.404 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 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 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of 1 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.412 * [taylor]: Taking taylor expansion of 1/2 in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of -1/8 in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.418 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.418 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.418 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.420 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of 1 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.426 * [taylor]: Taking taylor expansion of -1/2 in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of -1/8 in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.432 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.432 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.432 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.433 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.433 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.436 * [taylor]: Taking taylor expansion of 1/2 in y 0.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.440 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of 1 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.448 * [taylor]: Taking taylor expansion of 1/2 in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of -1/8 in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.454 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.454 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.454 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.458 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of 1 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.462 * [taylor]: Taking taylor expansion of -1/2 in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.467 * [taylor]: Taking taylor expansion of -1/8 in y 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.468 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.468 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 0.468 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 0.468 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 0.468 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 0.468 * [taylor]: Taking taylor expansion of 1/4 in y 0.468 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.469 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.469 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.469 * [taylor]: Taking taylor expansion of 1/4 in x 0.469 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.474 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.474 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.474 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.474 * [taylor]: Taking taylor expansion of 1/4 in x 0.474 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.474 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.474 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.474 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.474 * [taylor]: Taking taylor expansion of 1/4 in y 0.474 * [taylor]: Taking taylor expansion of (log y) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.481 * [taylor]: Taking taylor expansion of 1/4 in y 0.481 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.481 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.481 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.481 * [taylor]: Taking taylor expansion of 1/4 in y 0.481 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.481 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.497 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.497 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.497 * [taylor]: Taking taylor expansion of 1/4 in y 0.497 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.498 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.498 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.498 * [taylor]: Taking taylor expansion of 1/4 in x 0.498 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.499 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.499 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.499 * [taylor]: Taking taylor expansion of 1/4 in x 0.499 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.501 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.501 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.501 * [taylor]: Taking taylor expansion of -1/2 in y 0.501 * [taylor]: Taking taylor expansion of (log x) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.507 * [taylor]: Taking taylor expansion of 1/4 in y 0.508 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.517 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.517 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.517 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.517 * [taylor]: Taking taylor expansion of 1/4 in y 0.517 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.517 * [taylor]: Taking taylor expansion of x in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.519 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.519 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.519 * [taylor]: Taking taylor expansion of 1/4 in x 0.519 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.520 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.520 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.520 * [taylor]: Taking taylor expansion of 1/4 in x 0.520 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.520 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.521 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.521 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.521 * [taylor]: Taking taylor expansion of -1/2 in y 0.521 * [taylor]: Taking taylor expansion of (log x) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.529 * [taylor]: Taking taylor expansion of -1/4 in y 0.529 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.529 * [taylor]: Taking taylor expansion of x in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.538 * * * [progress]: simplifying candidates 0.540 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y))))) (log (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (exp (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (sqrt (* (cbrt (sqrt 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y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* 1 1) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* x x) y))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) 1) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y)))) (exp (sqrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt 1) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 0.547 * * [simplify]: iteration 0 : 264 enodes (cost 901 ) 0.553 * * [simplify]: iteration 1 : 1062 enodes (cost 835 ) 0.579 * * [simplify]: iteration 2 : 5001 enodes (cost 816 ) 0.583 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ (* x x) y) (sqrt (+ (* x x) y)) (pow (sqrt (+ (* x x) y)) 4) (+ (* x x) y) (pow (sqrt (+ (* x x) y)) 4) 2 (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (+ (* x x) y) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 4) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 2 1/2 1 1/2 (* (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 4) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (fabs (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ (* x x) y))) (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 4) (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ (* x x) y)) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ (* x x) y)) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (log (sqrt (sqrt (+ (* x x) y)))) (exp (sqrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (sqrt (sqrt (+ (* x x) y)))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (fabs (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) 1 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) 1 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (* +nan.0 (+ (- (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (* +nan.0 (+ (- (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (* +nan.0 (+ (- (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 0.584 * * * [progress]: adding candidates to table 0.821 * * [progress]: iteration 3 / 4 0.821 * * * [progress]: picking best candidate 0.823 * * * * [pick]: Picked # 0.824 * * * [progress]: localizing error 0.829 * * * [progress]: generating rewritten candidates 0.829 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 0.847 * * * [progress]: generating series expansions 0.847 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 0.847 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.847 * [taylor]: Taking taylor expansion of 1/2 in x 0.847 * [taylor]: Taking taylor expansion of (/ y x) in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.848 * [taylor]: Taking taylor expansion of 1/2 in y 0.848 * [taylor]: Taking taylor expansion of (/ y x) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of x in y 0.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.848 * [taylor]: Taking taylor expansion of 1/2 in y 0.848 * [taylor]: Taking taylor expansion of (/ y x) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of x in y 0.848 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.848 * [taylor]: Taking taylor expansion of 1/2 in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of 0 in x 0.850 * [taylor]: Taking taylor expansion of 0 in x 0.851 * [taylor]: Taking taylor expansion of 0 in x 0.852 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.852 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.852 * [taylor]: Taking taylor expansion of 1/2 in x 0.852 * [taylor]: Taking taylor expansion of (/ x y) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of y in x 0.852 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.852 * [taylor]: Taking taylor expansion of 1/2 in y 0.852 * [taylor]: Taking taylor expansion of (/ x y) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.852 * [taylor]: Taking taylor expansion of 1/2 in y 0.852 * [taylor]: Taking taylor expansion of (/ x y) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.852 * [taylor]: Taking taylor expansion of 1/2 in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of 0 in x 0.855 * [taylor]: Taking taylor expansion of 0 in x 0.857 * [taylor]: Taking taylor expansion of 0 in x 0.857 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.857 * [taylor]: Taking taylor expansion of 1/2 in x 0.857 * [taylor]: Taking taylor expansion of (/ x y) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.858 * [taylor]: Taking taylor expansion of 1/2 in y 0.858 * [taylor]: Taking taylor expansion of (/ x y) in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.858 * [taylor]: Taking taylor expansion of 1/2 in y 0.858 * [taylor]: Taking taylor expansion of (/ x y) in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.858 * [taylor]: Taking taylor expansion of 1/2 in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of 0 in x 0.861 * [taylor]: Taking taylor expansion of 0 in x 0.863 * [taylor]: Taking taylor expansion of 0 in x 0.863 * * * [progress]: simplifying candidates 0.863 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.867 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.871 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.886 * * [simplify]: iteration 2 : 2966 enodes (cost 118 ) 0.926 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 0.927 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.927 * * * [progress]: adding candidates to table 0.981 * * [progress]: iteration 4 / 4 0.981 * * * [progress]: picking best candidate 0.982 * * * * [pick]: Picked # 0.982 * * * [progress]: localizing error 0.986 * * * [progress]: generating rewritten candidates 0.986 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 1.001 * * * [progress]: generating series expansions 1.001 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 1.001 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 1.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.001 * [taylor]: Taking taylor expansion of 1/2 in x 1.001 * [taylor]: Taking taylor expansion of (/ y x) in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.001 * [taylor]: Taking taylor expansion of 1/2 in y 1.001 * [taylor]: Taking taylor expansion of (/ y x) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of x in y 1.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.002 * [taylor]: Taking taylor expansion of 1/2 in y 1.002 * [taylor]: Taking taylor expansion of (/ y x) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of x in y 1.002 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 1.002 * [taylor]: Taking taylor expansion of 1/2 in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of 0 in x 1.004 * [taylor]: Taking taylor expansion of 0 in x 1.005 * [taylor]: Taking taylor expansion of 0 in x 1.006 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.006 * [taylor]: Taking taylor expansion of 1/2 in x 1.006 * [taylor]: Taking taylor expansion of (/ x y) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of y in x 1.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.006 * [taylor]: Taking taylor expansion of 1/2 in y 1.006 * [taylor]: Taking taylor expansion of (/ x y) in y 1.006 * [taylor]: Taking taylor expansion of x in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.006 * [taylor]: Taking taylor expansion of 1/2 in y 1.006 * [taylor]: Taking taylor expansion of (/ x y) in y 1.006 * [taylor]: Taking taylor expansion of x in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.006 * [taylor]: Taking taylor expansion of 1/2 in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of 0 in x 1.009 * [taylor]: Taking taylor expansion of 0 in x 1.011 * [taylor]: Taking taylor expansion of 0 in x 1.011 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.011 * [taylor]: Taking taylor expansion of 1/2 in x 1.011 * [taylor]: Taking taylor expansion of (/ x y) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of y in x 1.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.011 * [taylor]: Taking taylor expansion of 1/2 in y 1.011 * [taylor]: Taking taylor expansion of (/ x y) in y 1.011 * [taylor]: Taking taylor expansion of x in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.011 * [taylor]: Taking taylor expansion of 1/2 in y 1.011 * [taylor]: Taking taylor expansion of (/ x y) in y 1.011 * [taylor]: Taking taylor expansion of x in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.011 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.011 * [taylor]: Taking taylor expansion of 1/2 in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of 0 in x 1.014 * [taylor]: Taking taylor expansion of 0 in x 1.016 * [taylor]: Taking taylor expansion of 0 in x 1.017 * * * [progress]: simplifying candidates 1.017 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 1.020 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 1.024 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 1.038 * * [simplify]: iteration 2 : 2966 enodes (cost 118 ) 1.078 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 1.079 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 1.083 * * * [progress]: adding candidates to table 1.130 * [progress]: [Phase 3 of 3] Extracting. 1.131 * * [regime]: Finding splitpoints for: (# # # #) 1.131 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.131 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.150 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.160 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.180 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 1.191 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.215 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 1.229 * * * * [regimes]: Trying to branch on y from (# # # #) 1.254 * * * * [regimes]: Trying to branch on x from (# # # #) 1.280 * * * [regime]: Found split indices: #