3.315 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.020 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.021 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.022 * * [simplify]: iteration done : 6 enodes (cost 7 ) 0.022 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 1 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * * * [progress]: simplifying candidates 0.065 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.067 * * [simplify]: iteration 0 : 30 enodes (cost 166 ) 0.074 * * [simplify]: iteration 1 : 101 enodes (cost 161 ) 0.117 * * [simplify]: iteration 2 : 374 enodes (cost 131 ) 0.216 * * [simplify]: iteration 3 : 746 enodes (cost 131 ) 0.456 * * [simplify]: iteration 4 : 1646 enodes (cost 131 ) 1.224 * * [simplify]: iteration 5 : 4505 enodes (cost 131 ) 3.329 * * [simplify]: iteration done : 5000 enodes (cost 131 ) 3.329 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 3.330 * * * [progress]: adding candidates to table 3.359 * * [progress]: iteration 2 / 4 3.359 * * * [progress]: picking best candidate 3.363 * * * * [pick]: Picked # 3.363 * * * [progress]: localizing error 3.370 * * * [progress]: generating rewritten candidates 3.370 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.374 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.377 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.397 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.403 * * * [progress]: generating series expansions 3.403 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.403 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.403 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.403 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.403 * [taylor]: Taking taylor expansion of x in y 3.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.403 * [taylor]: Taking taylor expansion of y in y 3.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.404 * [taylor]: Taking taylor expansion of x in x 3.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.404 * [taylor]: Taking taylor expansion of y in x 3.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.405 * [taylor]: Taking taylor expansion of x in x 3.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.405 * [taylor]: Taking taylor expansion of y in x 3.406 * [taylor]: Taking taylor expansion of y in y 3.406 * [taylor]: Taking taylor expansion of 0 in y 3.407 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.407 * [taylor]: Taking taylor expansion of 1/2 in y 3.407 * [taylor]: Taking taylor expansion of y in y 3.409 * [taylor]: Taking taylor expansion of 0 in y 3.410 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.410 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.410 * [taylor]: Taking taylor expansion of x in y 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.410 * [taylor]: Taking taylor expansion of y in y 3.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.413 * [taylor]: Taking taylor expansion of x in x 3.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.413 * [taylor]: Taking taylor expansion of y in x 3.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.416 * [taylor]: Taking taylor expansion of x in x 3.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.417 * [taylor]: Taking taylor expansion of y in x 3.419 * [taylor]: Taking taylor expansion of 1 in y 3.419 * [taylor]: Taking taylor expansion of 0 in y 3.421 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.421 * [taylor]: Taking taylor expansion of 1/2 in y 3.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.421 * [taylor]: Taking taylor expansion of y in y 3.425 * [taylor]: Taking taylor expansion of 0 in y 3.426 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.426 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.426 * [taylor]: Taking taylor expansion of x in y 3.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.426 * [taylor]: Taking taylor expansion of y in y 3.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.429 * [taylor]: Taking taylor expansion of x in x 3.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.430 * [taylor]: Taking taylor expansion of y in x 3.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.432 * [taylor]: Taking taylor expansion of x in x 3.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.432 * [taylor]: Taking taylor expansion of y in x 3.435 * [taylor]: Taking taylor expansion of 1 in y 3.435 * [taylor]: Taking taylor expansion of 0 in y 3.437 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.437 * [taylor]: Taking taylor expansion of 1/2 in y 3.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.437 * [taylor]: Taking taylor expansion of y in y 3.440 * [taylor]: Taking taylor expansion of 0 in y 3.445 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.445 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.445 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.445 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.445 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.445 * [taylor]: Taking taylor expansion of x in y 3.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.445 * [taylor]: Taking taylor expansion of y in y 3.446 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.446 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.446 * [taylor]: Taking taylor expansion of x in x 3.446 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.446 * [taylor]: Taking taylor expansion of y in x 3.447 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.447 * [taylor]: Taking taylor expansion of x in x 3.447 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.447 * [taylor]: Taking taylor expansion of y in x 3.447 * [taylor]: Taking taylor expansion of y in y 3.448 * [taylor]: Taking taylor expansion of 0 in y 3.449 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.449 * [taylor]: Taking taylor expansion of 1/2 in y 3.449 * [taylor]: Taking taylor expansion of y in y 3.451 * [taylor]: Taking taylor expansion of 0 in y 3.452 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.452 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.452 * [taylor]: Taking taylor expansion of x in y 3.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.452 * [taylor]: Taking taylor expansion of y in y 3.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.455 * [taylor]: Taking taylor expansion of x in x 3.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.455 * [taylor]: Taking taylor expansion of y in x 3.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.458 * [taylor]: Taking taylor expansion of x in x 3.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.458 * [taylor]: Taking taylor expansion of y in x 3.460 * [taylor]: Taking taylor expansion of 1 in y 3.461 * [taylor]: Taking taylor expansion of 0 in y 3.463 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.463 * [taylor]: Taking taylor expansion of 1/2 in y 3.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.463 * [taylor]: Taking taylor expansion of y in y 3.466 * [taylor]: Taking taylor expansion of 0 in y 3.468 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.468 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.468 * [taylor]: Taking taylor expansion of x in y 3.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.468 * [taylor]: Taking taylor expansion of y in y 3.471 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.471 * [taylor]: Taking taylor expansion of x in x 3.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.471 * [taylor]: Taking taylor expansion of y in x 3.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.474 * [taylor]: Taking taylor expansion of x in x 3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.474 * [taylor]: Taking taylor expansion of y in x 3.476 * [taylor]: Taking taylor expansion of 1 in y 3.476 * [taylor]: Taking taylor expansion of 0 in y 3.479 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.479 * [taylor]: Taking taylor expansion of 1/2 in y 3.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.479 * [taylor]: Taking taylor expansion of y in y 3.482 * [taylor]: Taking taylor expansion of 0 in y 3.484 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.484 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 3.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.484 * [taylor]: Taking taylor expansion of x in y 3.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.484 * [taylor]: Taking taylor expansion of y in y 3.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.484 * [taylor]: Taking taylor expansion of x in x 3.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.484 * [taylor]: Taking taylor expansion of y in x 3.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.484 * [taylor]: Taking taylor expansion of x in x 3.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.484 * [taylor]: Taking taylor expansion of y in x 3.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.485 * [taylor]: Taking taylor expansion of y in y 3.485 * [taylor]: Taking taylor expansion of 0 in y 3.486 * [taylor]: Taking taylor expansion of 1 in y 3.487 * [taylor]: Taking taylor expansion of 0 in y 3.489 * [taylor]: Taking taylor expansion of 0 in y 3.490 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.490 * [taylor]: Taking taylor expansion of x in y 3.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.490 * [taylor]: Taking taylor expansion of y in y 3.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.491 * [taylor]: Taking taylor expansion of x in x 3.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.492 * [taylor]: Taking taylor expansion of y in x 3.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.492 * [taylor]: Taking taylor expansion of y in x 3.493 * [taylor]: Taking taylor expansion of 1 in y 3.494 * [taylor]: Taking taylor expansion of 0 in y 3.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.495 * [taylor]: Taking taylor expansion of y in y 3.497 * [taylor]: Taking taylor expansion of 0 in y 3.500 * [taylor]: Taking taylor expansion of 0 in y 3.502 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.502 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.502 * [taylor]: Taking taylor expansion of x in y 3.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.502 * [taylor]: Taking taylor expansion of y in y 3.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.503 * [taylor]: Taking taylor expansion of x in x 3.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.504 * [taylor]: Taking taylor expansion of y in x 3.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.504 * [taylor]: Taking taylor expansion of x in x 3.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.505 * [taylor]: Taking taylor expansion of y in x 3.505 * [taylor]: Taking taylor expansion of 1 in y 3.506 * [taylor]: Taking taylor expansion of 0 in y 3.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.507 * [taylor]: Taking taylor expansion of y in y 3.510 * [taylor]: Taking taylor expansion of 0 in y 3.513 * [taylor]: Taking taylor expansion of 0 in y 3.514 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.514 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 3.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.514 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.514 * [taylor]: Taking taylor expansion of x in y 3.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.514 * [taylor]: Taking taylor expansion of y in y 3.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.514 * [taylor]: Taking taylor expansion of x in x 3.514 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.514 * [taylor]: Taking taylor expansion of y in x 3.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.514 * [taylor]: Taking taylor expansion of x in x 3.514 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.515 * [taylor]: Taking taylor expansion of y in x 3.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.515 * [taylor]: Taking taylor expansion of y in y 3.515 * [taylor]: Taking taylor expansion of 0 in y 3.516 * [taylor]: Taking taylor expansion of 1 in y 3.518 * [taylor]: Taking taylor expansion of 0 in y 3.520 * [taylor]: Taking taylor expansion of 0 in y 3.520 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.520 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.520 * [taylor]: Taking taylor expansion of x in y 3.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.520 * [taylor]: Taking taylor expansion of y in y 3.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.521 * [taylor]: Taking taylor expansion of x in x 3.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.522 * [taylor]: Taking taylor expansion of y in x 3.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.522 * [taylor]: Taking taylor expansion of x in x 3.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.522 * [taylor]: Taking taylor expansion of y in x 3.523 * [taylor]: Taking taylor expansion of 1 in y 3.524 * [taylor]: Taking taylor expansion of 0 in y 3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.525 * [taylor]: Taking taylor expansion of y in y 3.528 * [taylor]: Taking taylor expansion of 0 in y 3.531 * [taylor]: Taking taylor expansion of 0 in y 3.533 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.533 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.533 * [taylor]: Taking taylor expansion of x in y 3.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.533 * [taylor]: Taking taylor expansion of y in y 3.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.534 * [taylor]: Taking taylor expansion of x in x 3.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.534 * [taylor]: Taking taylor expansion of y in x 3.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.534 * [taylor]: Taking taylor expansion of x in x 3.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.535 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.535 * [taylor]: Taking taylor expansion of y in x 3.535 * [taylor]: Taking taylor expansion of 1 in y 3.536 * [taylor]: Taking taylor expansion of 0 in y 3.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.538 * [taylor]: Taking taylor expansion of y in y 3.543 * [taylor]: Taking taylor expansion of 0 in y 3.546 * [taylor]: Taking taylor expansion of 0 in y 3.547 * * * [progress]: simplifying candidates 3.549 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 3.553 * * [simplify]: iteration 0 : 92 enodes (cost 1982 ) 3.576 * * [simplify]: iteration 1 : 193 enodes (cost 1397 ) 3.615 * * [simplify]: iteration 2 : 642 enodes (cost 1189 ) 4.031 * * [simplify]: iteration 3 : 2577 enodes (cost 1153 ) 5.020 * * [simplify]: iteration done : 5001 enodes (cost 1153 ) 5.021 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 1 2 1 1 (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) 2 (log (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (- (pow x 4) (pow y 4)) (- (pow x 2) (* y y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (* (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (cbrt (sqrt (+ (* x x) (* y y))))) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (pow x 2) (* y y)) y x (- x) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 5.021 * * * [progress]: adding candidates to table 5.221 * * [progress]: iteration 3 / 4 5.221 * * * [progress]: picking best candidate 5.223 * * * * [pick]: Picked # 5.224 * * * [progress]: localizing error 5.233 * * * [progress]: generating rewritten candidates 5.233 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.237 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 5.241 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.244 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.276 * * * [progress]: generating series expansions 5.276 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.276 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.276 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.276 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.276 * [taylor]: Taking taylor expansion of x in y 5.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.276 * [taylor]: Taking taylor expansion of y in y 5.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.277 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.277 * [taylor]: Taking taylor expansion of x in x 5.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.277 * [taylor]: Taking taylor expansion of y in x 5.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.278 * [taylor]: Taking taylor expansion of x in x 5.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.278 * [taylor]: Taking taylor expansion of y in x 5.278 * [taylor]: Taking taylor expansion of y in y 5.279 * [taylor]: Taking taylor expansion of 0 in y 5.280 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.280 * [taylor]: Taking taylor expansion of 1/2 in y 5.280 * [taylor]: Taking taylor expansion of y in y 5.282 * [taylor]: Taking taylor expansion of 0 in y 5.283 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.283 * [taylor]: Taking taylor expansion of x in y 5.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.283 * [taylor]: Taking taylor expansion of y in y 5.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.286 * [taylor]: Taking taylor expansion of x in x 5.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.287 * [taylor]: Taking taylor expansion of y in x 5.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.289 * [taylor]: Taking taylor expansion of x in x 5.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.290 * [taylor]: Taking taylor expansion of y in x 5.292 * [taylor]: Taking taylor expansion of 1 in y 5.292 * [taylor]: Taking taylor expansion of 0 in y 5.294 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.294 * [taylor]: Taking taylor expansion of 1/2 in y 5.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.294 * [taylor]: Taking taylor expansion of y in y 5.298 * [taylor]: Taking taylor expansion of 0 in y 5.303 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.303 * [taylor]: Taking taylor expansion of x in y 5.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.303 * [taylor]: Taking taylor expansion of y in y 5.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.306 * [taylor]: Taking taylor expansion of x in x 5.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.306 * [taylor]: Taking taylor expansion of y in x 5.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.309 * [taylor]: Taking taylor expansion of x in x 5.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.309 * [taylor]: Taking taylor expansion of y in x 5.311 * [taylor]: Taking taylor expansion of 1 in y 5.311 * [taylor]: Taking taylor expansion of 0 in y 5.314 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.314 * [taylor]: Taking taylor expansion of 1/2 in y 5.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.314 * [taylor]: Taking taylor expansion of y in y 5.317 * [taylor]: Taking taylor expansion of 0 in y 5.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 5.319 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.319 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.319 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.319 * [taylor]: Taking taylor expansion of x in y 5.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.319 * [taylor]: Taking taylor expansion of y in y 5.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.319 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.320 * [taylor]: Taking taylor expansion of x in x 5.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.320 * [taylor]: Taking taylor expansion of y in x 5.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.320 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.320 * [taylor]: Taking taylor expansion of x in x 5.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.320 * [taylor]: Taking taylor expansion of y in x 5.321 * [taylor]: Taking taylor expansion of y in y 5.321 * [taylor]: Taking taylor expansion of 0 in y 5.322 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.322 * [taylor]: Taking taylor expansion of 1/2 in y 5.322 * [taylor]: Taking taylor expansion of y in y 5.324 * [taylor]: Taking taylor expansion of 0 in y 5.325 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.325 * [taylor]: Taking taylor expansion of x in y 5.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.326 * [taylor]: Taking taylor expansion of y in y 5.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.328 * [taylor]: Taking taylor expansion of x in x 5.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.329 * [taylor]: Taking taylor expansion of y in x 5.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.331 * [taylor]: Taking taylor expansion of x in x 5.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.332 * [taylor]: Taking taylor expansion of y in x 5.334 * [taylor]: Taking taylor expansion of 1 in y 5.334 * [taylor]: Taking taylor expansion of 0 in y 5.336 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.336 * [taylor]: Taking taylor expansion of 1/2 in y 5.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.336 * [taylor]: Taking taylor expansion of y in y 5.340 * [taylor]: Taking taylor expansion of 0 in y 5.341 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.342 * [taylor]: Taking taylor expansion of x in y 5.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.342 * [taylor]: Taking taylor expansion of y in y 5.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.344 * [taylor]: Taking taylor expansion of x in x 5.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.345 * [taylor]: Taking taylor expansion of y in x 5.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.347 * [taylor]: Taking taylor expansion of x in x 5.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.348 * [taylor]: Taking taylor expansion of y in x 5.350 * [taylor]: Taking taylor expansion of 1 in y 5.350 * [taylor]: Taking taylor expansion of 0 in y 5.352 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.352 * [taylor]: Taking taylor expansion of 1/2 in y 5.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.352 * [taylor]: Taking taylor expansion of y in y 5.356 * [taylor]: Taking taylor expansion of 0 in y 5.357 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 5.357 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.357 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.357 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.357 * [taylor]: Taking taylor expansion of x in y 5.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.357 * [taylor]: Taking taylor expansion of y in y 5.358 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.358 * [taylor]: Taking taylor expansion of x in x 5.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.358 * [taylor]: Taking taylor expansion of y in x 5.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.359 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.359 * [taylor]: Taking taylor expansion of x in x 5.359 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.359 * [taylor]: Taking taylor expansion of y in x 5.359 * [taylor]: Taking taylor expansion of y in y 5.360 * [taylor]: Taking taylor expansion of 0 in y 5.361 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.361 * [taylor]: Taking taylor expansion of 1/2 in y 5.361 * [taylor]: Taking taylor expansion of y in y 5.363 * [taylor]: Taking taylor expansion of 0 in y 5.364 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.364 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.364 * [taylor]: Taking taylor expansion of x in y 5.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.364 * [taylor]: Taking taylor expansion of y in y 5.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.367 * [taylor]: Taking taylor expansion of x in x 5.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.367 * [taylor]: Taking taylor expansion of y in x 5.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.370 * [taylor]: Taking taylor expansion of x in x 5.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.370 * [taylor]: Taking taylor expansion of y in x 5.372 * [taylor]: Taking taylor expansion of 1 in y 5.373 * [taylor]: Taking taylor expansion of 0 in y 5.375 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.375 * [taylor]: Taking taylor expansion of 1/2 in y 5.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.375 * [taylor]: Taking taylor expansion of y in y 5.378 * [taylor]: Taking taylor expansion of 0 in y 5.380 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.380 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.380 * [taylor]: Taking taylor expansion of x in y 5.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.380 * [taylor]: Taking taylor expansion of y in y 5.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.383 * [taylor]: Taking taylor expansion of x in x 5.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.383 * [taylor]: Taking taylor expansion of y in x 5.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.385 * [taylor]: Taking taylor expansion of x in x 5.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.386 * [taylor]: Taking taylor expansion of y in x 5.388 * [taylor]: Taking taylor expansion of 1 in y 5.388 * [taylor]: Taking taylor expansion of 0 in y 5.390 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.391 * [taylor]: Taking taylor expansion of 1/2 in y 5.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.391 * [taylor]: Taking taylor expansion of y in y 5.397 * [taylor]: Taking taylor expansion of 0 in y 5.398 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.399 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.399 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.399 * [taylor]: Taking taylor expansion of x in y 5.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.399 * [taylor]: Taking taylor expansion of y in y 5.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.399 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.399 * [taylor]: Taking taylor expansion of x in x 5.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.400 * [taylor]: Taking taylor expansion of y in x 5.400 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.400 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.400 * [taylor]: Taking taylor expansion of x in x 5.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.400 * [taylor]: Taking taylor expansion of y in x 5.401 * [taylor]: Taking taylor expansion of y in y 5.401 * [taylor]: Taking taylor expansion of 0 in y 5.402 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.402 * [taylor]: Taking taylor expansion of 1/2 in y 5.402 * [taylor]: Taking taylor expansion of y in y 5.404 * [taylor]: Taking taylor expansion of 0 in y 5.405 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.406 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.406 * [taylor]: Taking taylor expansion of x in y 5.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.406 * [taylor]: Taking taylor expansion of y in y 5.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.408 * [taylor]: Taking taylor expansion of x in x 5.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.409 * [taylor]: Taking taylor expansion of y in x 5.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.411 * [taylor]: Taking taylor expansion of x in x 5.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.412 * [taylor]: Taking taylor expansion of y in x 5.414 * [taylor]: Taking taylor expansion of 1 in y 5.414 * [taylor]: Taking taylor expansion of 0 in y 5.416 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.416 * [taylor]: Taking taylor expansion of 1/2 in y 5.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.416 * [taylor]: Taking taylor expansion of y in y 5.420 * [taylor]: Taking taylor expansion of 0 in y 5.421 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.421 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.421 * [taylor]: Taking taylor expansion of x in y 5.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.422 * [taylor]: Taking taylor expansion of y in y 5.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.424 * [taylor]: Taking taylor expansion of x in x 5.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.425 * [taylor]: Taking taylor expansion of y in x 5.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.427 * [taylor]: Taking taylor expansion of x in x 5.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.428 * [taylor]: Taking taylor expansion of y in x 5.430 * [taylor]: Taking taylor expansion of 1 in y 5.430 * [taylor]: Taking taylor expansion of 0 in y 5.432 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.432 * [taylor]: Taking taylor expansion of 1/2 in y 5.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.432 * [taylor]: Taking taylor expansion of y in y 5.436 * [taylor]: Taking taylor expansion of 0 in y 5.437 * * * [progress]: simplifying candidates 5.439 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* 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x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 5.445 * * [simplify]: iteration 0 : 112 enodes (cost 2850 ) 5.480 * * [simplify]: iteration 1 : 209 enodes (cost 1784 ) 5.511 * * [simplify]: iteration 2 : 534 enodes (cost 1610 ) 5.789 * * [simplify]: iteration 3 : 1626 enodes (cost 1529 ) 6.632 * * [simplify]: iteration done : 5000 enodes (cost 1529 ) 6.633 * [simplify]: Simplified to: 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(+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) (* (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) y x (- x) y x (- x) y x (- x) y x (- x) 6.634 * * * [progress]: adding candidates to table 6.920 * [progress]: [Phase 3 of 3] Extracting. 6.920 * * [regime]: Finding splitpoints for: (# #) 6.920 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 6.920 * * * * [regimes]: Trying to branch on (* y y) from (# #) 6.931 * * * * [regimes]: Trying to branch on (* x x) from (# #) 6.942 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 6.957 * * * * [regimes]: Trying to branch on y from (# #) 6.969 * * * * [regimes]: Trying to branch on x from (# #) 6.981 * * * [regime]: Found split indices: #