14.102 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.023 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.024 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.026 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.027 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.029 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.031 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.033 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.035 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.038 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.041 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.046 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.074 * * [simplify]: iteration 11 : 3197 enodes (cost 4 ) 0.303 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.304 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.309 * * [progress]: iteration 1 / 4 0.309 * * * [progress]: picking best candidate 0.311 * * * * [pick]: Picked # 0.311 * * * [progress]: localizing error 0.318 * * * [progress]: generating rewritten candidates 0.318 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.326 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.330 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.336 * * * [progress]: generating series expansions 0.336 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.336 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of 3 in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.337 * [taylor]: Taking taylor expansion of 3 in x 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.337 * [taylor]: Taking taylor expansion of 3 in x 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of 3 in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 1 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.346 * [taylor]: Taking taylor expansion of 3 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.347 * [taylor]: Taking taylor expansion of 3 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.348 * [taylor]: Taking taylor expansion of 3 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of 1 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of 3 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.359 * [taylor]: Taking taylor expansion of 3 in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.360 * [taylor]: Taking taylor expansion of 3 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.361 * [taylor]: Taking taylor expansion of 3 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of 1 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.364 * [taylor]: Taking taylor expansion of 3 in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.372 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.372 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.372 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 1 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of 1 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of 1 in y 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.404 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.404 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of 2 in y 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of 2 in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of 2 in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.405 * [taylor]: Taking taylor expansion of 2 in y 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of 1 in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.413 * [taylor]: Taking taylor expansion of 2 in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.415 * [taylor]: Taking taylor expansion of 2 in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.415 * [taylor]: Taking taylor expansion of 2 in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of 1 in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.418 * [taylor]: Taking taylor expansion of 2 in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.426 * [taylor]: Taking taylor expansion of 2 in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.428 * [taylor]: Taking taylor expansion of 2 in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.428 * [taylor]: Taking taylor expansion of 2 in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of 1 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of 2 in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.439 * * * [progress]: simplifying candidates 0.440 * [simplify]: Simplifying using # : (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (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)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.444 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 0.449 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 0.468 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 0.566 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 0.567 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (+ (+ (* x x) (* y y)) (* y (+ y y))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (pow y 4) (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (pow x 2) (pow y 2)) (* y (+ y y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (exp (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (pow x 2) (* y (+ y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (+ (pow x 2) (* y (+ y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (pow x 2) (+ (* x x) (* y y))) (pow y 4)) (* (pow x 2) (+ (pow x 2) (* y (+ y y)))) (pow x 2) (* y (+ y y)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) 0.568 * * * [progress]: adding candidates to table 0.660 * * [progress]: iteration 2 / 4 0.660 * * * [progress]: picking best candidate 0.675 * * * * [pick]: Picked # 0.675 * * * [progress]: localizing error 0.684 * * * [progress]: generating rewritten candidates 0.684 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.689 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.694 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.709 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.730 * * * [progress]: generating series expansions 0.730 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.730 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.730 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.731 * [taylor]: Taking taylor expansion of 2 in y 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.731 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.731 * [taylor]: Taking taylor expansion of 2 in x 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.732 * [taylor]: Taking taylor expansion of y in x 0.732 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.732 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.733 * [taylor]: Taking taylor expansion of 2 in x 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.734 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.734 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.734 * [taylor]: Taking taylor expansion of 2 in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.738 * [taylor]: Taking taylor expansion of 1/2 in y 0.738 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.738 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.738 * [taylor]: Taking taylor expansion of 2 in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.746 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.749 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.749 * [taylor]: Taking taylor expansion of x in y 0.749 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.749 * [taylor]: Taking taylor expansion of 2 in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.753 * [taylor]: Taking taylor expansion of 2 in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.753 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.756 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.756 * [taylor]: Taking taylor expansion of 2 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of 1 in y 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of 0 in y 0.766 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.766 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.766 * [taylor]: Taking taylor expansion of x in y 0.766 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.766 * [taylor]: Taking taylor expansion of 2 in y 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.769 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.770 * [taylor]: Taking taylor expansion of 2 in x 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.770 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.770 * [taylor]: Taking taylor expansion of y in x 0.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.772 * [taylor]: Taking taylor expansion of 2 in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.772 * [taylor]: Taking taylor expansion of y in x 0.774 * [taylor]: Taking taylor expansion of 1 in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.777 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of 0 in y 0.781 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.781 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.781 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.781 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.781 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.781 * [taylor]: Taking taylor expansion of 2 in y 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.782 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.782 * [taylor]: Taking taylor expansion of 2 in x 0.782 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.783 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.783 * [taylor]: Taking taylor expansion of 2 in x 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.784 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.784 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.784 * [taylor]: Taking taylor expansion of 2 in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of 0 in y 0.789 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.789 * [taylor]: Taking taylor expansion of 1/2 in y 0.789 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.789 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.789 * [taylor]: Taking taylor expansion of 2 in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of 0 in y 0.800 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.800 * [taylor]: Taking taylor expansion of x in y 0.800 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.800 * [taylor]: Taking taylor expansion of 2 in y 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.804 * [taylor]: Taking taylor expansion of 2 in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.806 * [taylor]: Taking taylor expansion of 2 in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of 1 in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.823 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.823 * [taylor]: Taking taylor expansion of 2 in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.827 * [taylor]: Taking taylor expansion of 2 in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.830 * [taylor]: Taking taylor expansion of 2 in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.832 * [taylor]: Taking taylor expansion of 1 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of 0 in y 0.838 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.839 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.839 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.839 * [taylor]: Taking taylor expansion of 2 in y 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.839 * [taylor]: Taking taylor expansion of 2 in x 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.839 * [taylor]: Taking taylor expansion of 2 in x 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.839 * [taylor]: Taking taylor expansion of 2 in y 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [taylor]: Taking taylor expansion of 1 in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.847 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.848 * [taylor]: Taking taylor expansion of x in y 0.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.848 * [taylor]: Taking taylor expansion of 2 in y 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.849 * [taylor]: Taking taylor expansion of 2 in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.850 * [taylor]: Taking taylor expansion of 2 in x 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of 1 in y 0.851 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.853 * [taylor]: Taking taylor expansion of 2 in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.861 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.862 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.862 * [taylor]: Taking taylor expansion of x in y 0.862 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.862 * [taylor]: Taking taylor expansion of 2 in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.862 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.863 * [taylor]: Taking taylor expansion of 2 in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.864 * [taylor]: Taking taylor expansion of 2 in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of 1 in y 0.865 * [taylor]: Taking taylor expansion of 0 in y 0.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.867 * [taylor]: Taking taylor expansion of 2 in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.870 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.876 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.876 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.876 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.876 * [taylor]: Taking taylor expansion of x in y 0.876 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.876 * [taylor]: Taking taylor expansion of 3 in y 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.876 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.876 * [taylor]: Taking taylor expansion of 3 in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.876 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.876 * [taylor]: Taking taylor expansion of 3 in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of 3 in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of 1 in y 0.881 * [taylor]: Taking taylor expansion of 0 in y 0.884 * [taylor]: Taking taylor expansion of 0 in y 0.885 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.885 * [taylor]: Taking taylor expansion of 3 in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.887 * [taylor]: Taking taylor expansion of 3 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.887 * [taylor]: Taking taylor expansion of 3 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of 1 in y 0.889 * [taylor]: Taking taylor expansion of 0 in y 0.890 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.890 * [taylor]: Taking taylor expansion of 3 in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.899 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.900 * [taylor]: Taking taylor expansion of x in y 0.900 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.900 * [taylor]: Taking taylor expansion of 3 in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.906 * [taylor]: Taking taylor expansion of 3 in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of 3 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of 1 in y 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.910 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.910 * [taylor]: Taking taylor expansion of 3 in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.918 * * * [progress]: simplifying candidates 0.920 * [simplify]: Simplifying using # : (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ 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(* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (+ (pow (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (pow (* y y) 3)) (+ (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (- (* (* y y) (* y y)) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (- (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* y y) (* y y))) (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.928 * * [simplify]: iteration 0 : 244 enodes (cost 1203 ) 0.935 * * [simplify]: iteration 1 : 1165 enodes (cost 1041 ) 0.964 * * [simplify]: iteration 2 : 5001 enodes (cost 979 ) 0.969 * [simplify]: Simplified to: (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 1 1 2 1 1 (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 4) (+ (* y (+ y y)) (pow x 2)) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 4) 2 (* 2 (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* 2 (log (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (pow (exp 1) (+ (* y (+ y y)) (pow x 2))) (pow (+ (* y (+ y y)) (pow x 2)) 3) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (+ (* y (+ y y)) (pow x 2)) 3) (pow (sqrt (+ (+ (* x x) (* y y)) (* y y))) 4) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (pow y 4) (* (pow x 2) (+ (* x x) (* y y)))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (+ (* x x) (* y y)) (* y y)))) (+ (pow x 4) (* (pow x 2) (* 2 (pow y 2)))) (pow x 2) (pow (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 4) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) 1 (+ (* y (+ y y)) (pow x 2)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) 1 (+ (* y (+ y y)) (pow x 2)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) 1 2 1 (* (pow (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 4) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (pow (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 4) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (+ (* y (+ y y)) (pow x 2)) (pow (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (+ (* y (+ y y)) (pow x 2)) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (pow y 2))) (log (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (pow y 2))) (* (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (pow (+ (+ (pow y 2) (pow x 2)) (* y (+ y y))) 3) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (+ (pow (* y y) 3) (* (pow (+ (+ (* x x) (* y y)) (* y y)) 3/2) (pow (+ (+ (* x x) (* y y)) (* y y)) 3/2))) (+ (pow y 4) (* (+ (* y (+ y y)) (pow x 2)) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (pow y 2) (+ (+ (* x x) (* y y)) (* y y)))) (+ (* x x) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.970 * * * [progress]: adding candidates to table 1.173 * * [progress]: iteration 3 / 4 1.173 * * * [progress]: picking best candidate 1.192 * * * * [pick]: Picked # 1.192 * * * [progress]: localizing error 1.200 * * * [progress]: generating rewritten candidates 1.200 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.211 * * * [progress]: generating series expansions 1.211 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.211 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 1.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.211 * [taylor]: Taking taylor expansion of 3 in x 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.211 * [taylor]: Taking taylor expansion of y in x 1.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.211 * [taylor]: Taking taylor expansion of x in y 1.211 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.211 * [taylor]: Taking taylor expansion of 3 in y 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.211 * [taylor]: Taking taylor expansion of x in y 1.211 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.211 * [taylor]: Taking taylor expansion of 3 in y 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of 0 in x 1.213 * [taylor]: Taking taylor expansion of 3 in x 1.215 * [taylor]: Taking taylor expansion of 0 in x 1.217 * [taylor]: Taking taylor expansion of 0 in x 1.218 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.219 * [taylor]: Taking taylor expansion of 3 in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.219 * [taylor]: Taking taylor expansion of y in x 1.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.219 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.219 * [taylor]: Taking taylor expansion of x in y 1.219 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.219 * [taylor]: Taking taylor expansion of 3 in y 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.219 * [taylor]: Taking taylor expansion of y in y 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.220 * [taylor]: Taking taylor expansion of x in y 1.220 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.220 * [taylor]: Taking taylor expansion of 3 in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.220 * [taylor]: Taking taylor expansion of y in y 1.221 * [taylor]: Taking taylor expansion of 3 in x 1.223 * [taylor]: Taking taylor expansion of 0 in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of 0 in x 1.230 * [taylor]: Taking taylor expansion of 0 in x 1.232 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 1.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.233 * [taylor]: Taking taylor expansion of 3 in x 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.233 * [taylor]: Taking taylor expansion of y in x 1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.233 * [taylor]: Taking taylor expansion of x in y 1.233 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.233 * [taylor]: Taking taylor expansion of 3 in y 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.233 * [taylor]: Taking taylor expansion of y in y 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.234 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.234 * [taylor]: Taking taylor expansion of x in y 1.234 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.234 * [taylor]: Taking taylor expansion of 3 in y 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.234 * [taylor]: Taking taylor expansion of y in y 1.235 * [taylor]: Taking taylor expansion of 3 in x 1.236 * [taylor]: Taking taylor expansion of 0 in x 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.240 * [taylor]: Taking taylor expansion of 0 in x 1.244 * [taylor]: Taking taylor expansion of 0 in x 1.245 * * * [progress]: simplifying candidates 1.245 * [simplify]: Simplifying using # : (* (* (exp (* y (+ y y))) (exp (pow x 2))) (exp (* y y))) (* (exp (+ (* y (+ y y)) (pow x 2))) (exp (* y y))) (log (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (exp (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (* (cbrt (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (cbrt (+ (+ (* y (+ y y)) (pow x 2)) (* y y)))) (cbrt (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (* (* (+ (+ (* y (+ y y)) (pow x 2)) (* y y)) (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (sqrt (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (sqrt (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (+ (pow (+ (* y (+ y y)) (pow x 2)) 3) (pow (* y y) 3)) (+ (* (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2))) (- (* (* y y) (* y y)) (* (+ (* y (+ y y)) (pow x 2)) (* y y)))) (- (* (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2))) (* (* y y) (* y y))) (- (+ (* y (+ y y)) (pow x 2)) (* y y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.249 * * [simplify]: iteration 0 : 114 enodes (cost 144 ) 1.252 * * [simplify]: iteration 1 : 525 enodes (cost 131 ) 1.262 * * [simplify]: iteration 2 : 2265 enodes (cost 122 ) 1.313 * * [simplify]: iteration 3 : 5001 enodes (cost 122 ) 1.318 * [simplify]: Simplified to: (* (exp (pow x 2)) (pow (exp (* y y)) 3)) (* (exp (pow x 2)) (pow (exp (* y y)) 3)) (log (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (* (exp (pow x 2)) (pow (exp (* y y)) 3)) (* (cbrt (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (cbrt (+ (+ (* y (+ y y)) (pow x 2)) (* y y)))) (cbrt (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (pow (+ (+ (* y (+ y y)) (pow x 2)) (* y y)) 3) (sqrt (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (sqrt (+ (+ (* y (+ y y)) (pow x 2)) (* y y))) (+ (pow (+ (* y (+ y y)) (pow x 2)) 3) (pow (* y y) 3)) (+ (* (+ (* y (+ y y)) (pow x 2)) (- (+ (* y (+ y y)) (pow x 2)) (* y y))) (pow y 4)) (- (* (+ (* y (+ y y)) (pow x 2)) (+ (* y (+ y y)) (pow x 2))) (* (* y y) (* y y))) (- (pow x 2) (* y (- y (+ y y)))) (+ (pow x 2) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.318 * * * [progress]: adding candidates to table 1.351 * * [progress]: iteration 4 / 4 1.351 * * * [progress]: picking best candidate 1.366 * * * * [pick]: Picked # 1.367 * * * [progress]: localizing error 1.383 * * * [progress]: generating rewritten candidates 1.383 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.398 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.412 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 1.417 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.424 * * * [progress]: generating series expansions 1.424 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.424 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.424 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.424 * [taylor]: Taking taylor expansion of x in y 1.424 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.424 * [taylor]: Taking taylor expansion of 3 in y 1.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.424 * [taylor]: Taking taylor expansion of y in y 1.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.425 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.425 * [taylor]: Taking taylor expansion of 3 in x 1.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.425 * [taylor]: Taking taylor expansion of y in x 1.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.426 * [taylor]: Taking taylor expansion of 3 in x 1.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.426 * [taylor]: Taking taylor expansion of y in x 1.427 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.427 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.427 * [taylor]: Taking taylor expansion of 3 in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.429 * [taylor]: Taking taylor expansion of 0 in y 1.432 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.432 * [taylor]: Taking taylor expansion of 1/2 in y 1.432 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.432 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.432 * [taylor]: Taking taylor expansion of 3 in y 1.433 * [taylor]: Taking taylor expansion of y in y 1.440 * [taylor]: Taking taylor expansion of 0 in y 1.444 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.444 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.444 * [taylor]: Taking taylor expansion of x in y 1.444 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.444 * [taylor]: Taking taylor expansion of 3 in y 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.444 * [taylor]: Taking taylor expansion of y in y 1.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.448 * [taylor]: Taking taylor expansion of 3 in x 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.448 * [taylor]: Taking taylor expansion of y in x 1.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.451 * [taylor]: Taking taylor expansion of 3 in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.451 * [taylor]: Taking taylor expansion of y in x 1.453 * [taylor]: Taking taylor expansion of 1 in y 1.453 * [taylor]: Taking taylor expansion of 0 in y 1.455 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.455 * [taylor]: Taking taylor expansion of 3/2 in y 1.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.455 * [taylor]: Taking taylor expansion of y in y 1.458 * [taylor]: Taking taylor expansion of 0 in y 1.460 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.460 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.460 * [taylor]: Taking taylor expansion of x in y 1.460 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.460 * [taylor]: Taking taylor expansion of 3 in y 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.461 * [taylor]: Taking taylor expansion of y in y 1.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.464 * [taylor]: Taking taylor expansion of 3 in x 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.464 * [taylor]: Taking taylor expansion of y in x 1.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.467 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.467 * [taylor]: Taking taylor expansion of 3 in x 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.467 * [taylor]: Taking taylor expansion of y in x 1.474 * [taylor]: Taking taylor expansion of 1 in y 1.474 * [taylor]: Taking taylor expansion of 0 in y 1.476 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.476 * [taylor]: Taking taylor expansion of 3/2 in y 1.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.476 * [taylor]: Taking taylor expansion of y in y 1.479 * [taylor]: Taking taylor expansion of 0 in y 1.481 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.481 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in (x y) around 0 1.481 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in y 1.481 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.481 * [taylor]: Taking taylor expansion of x in y 1.481 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.481 * [taylor]: Taking taylor expansion of 3 in y 1.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.481 * [taylor]: Taking taylor expansion of y in y 1.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.482 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.482 * [taylor]: Taking taylor expansion of 3 in x 1.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.482 * [taylor]: Taking taylor expansion of y in x 1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 3 (pow y 2)))) in x 1.483 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.483 * [taylor]: Taking taylor expansion of 3 in x 1.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.483 * [taylor]: Taking taylor expansion of y in x 1.484 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.484 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.484 * [taylor]: Taking taylor expansion of 3 in y 1.485 * [taylor]: Taking taylor expansion of y in y 1.485 * [taylor]: Taking taylor expansion of 0 in y 1.488 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 3) y)) in y 1.488 * [taylor]: Taking taylor expansion of 1/2 in y 1.488 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 1.488 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.488 * [taylor]: Taking taylor expansion of 3 in y 1.489 * [taylor]: Taking taylor expansion of y in y 1.497 * [taylor]: Taking taylor expansion of 0 in y 1.500 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.500 * [taylor]: Taking taylor expansion of x in y 1.500 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.500 * [taylor]: Taking taylor expansion of 3 in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.500 * [taylor]: Taking taylor expansion of y in y 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.504 * [taylor]: Taking taylor expansion of 3 in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.504 * [taylor]: Taking taylor expansion of y in x 1.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.507 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.507 * [taylor]: Taking taylor expansion of 3 in x 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.507 * [taylor]: Taking taylor expansion of y in x 1.509 * [taylor]: Taking taylor expansion of 1 in y 1.509 * [taylor]: Taking taylor expansion of 0 in y 1.511 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.511 * [taylor]: Taking taylor expansion of 3/2 in y 1.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.511 * [taylor]: Taking taylor expansion of y in y 1.515 * [taylor]: Taking taylor expansion of 0 in y 1.516 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in (x y) around 0 1.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in y 1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.516 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.516 * [taylor]: Taking taylor expansion of x in y 1.516 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.517 * [taylor]: Taking taylor expansion of 3 in y 1.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.517 * [taylor]: Taking taylor expansion of y in y 1.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.520 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.520 * [taylor]: Taking taylor expansion of 3 in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.520 * [taylor]: Taking taylor expansion of y in x 1.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2))))) in x 1.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.523 * [taylor]: Taking taylor expansion of 3 in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.523 * [taylor]: Taking taylor expansion of y in x 1.525 * [taylor]: Taking taylor expansion of 1 in y 1.525 * [taylor]: Taking taylor expansion of 0 in y 1.527 * [taylor]: Taking taylor expansion of (/ 3/2 (pow y 2)) in y 1.527 * [taylor]: Taking taylor expansion of 3/2 in y 1.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.527 * [taylor]: Taking taylor expansion of y in y 1.531 * [taylor]: Taking taylor expansion of 0 in y 1.532 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 1.532 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.532 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.532 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.532 * [taylor]: Taking taylor expansion of x in y 1.532 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.532 * [taylor]: Taking taylor expansion of 2 in y 1.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.532 * [taylor]: Taking taylor expansion of y in y 1.533 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.533 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.533 * [taylor]: Taking taylor expansion of 2 in x 1.533 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.533 * [taylor]: Taking taylor expansion of y in x 1.534 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.534 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.534 * [taylor]: Taking taylor expansion of x in x 1.534 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.534 * [taylor]: Taking taylor expansion of 2 in x 1.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.534 * [taylor]: Taking taylor expansion of y in x 1.535 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.535 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.535 * [taylor]: Taking taylor expansion of 2 in y 1.535 * [taylor]: Taking taylor expansion of y in y 1.536 * [taylor]: Taking taylor expansion of 0 in y 1.539 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.539 * [taylor]: Taking taylor expansion of 1/2 in y 1.539 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.539 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.539 * [taylor]: Taking taylor expansion of 2 in y 1.540 * [taylor]: Taking taylor expansion of y in y 1.548 * [taylor]: Taking taylor expansion of 0 in y 1.550 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.550 * [taylor]: Taking taylor expansion of x in y 1.550 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.550 * [taylor]: Taking taylor expansion of 2 in y 1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.550 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.554 * [taylor]: Taking taylor expansion of 2 in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.554 * [taylor]: Taking taylor expansion of y in x 1.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.562 * [taylor]: Taking taylor expansion of 2 in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.562 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.562 * [taylor]: Taking taylor expansion of y in x 1.564 * [taylor]: Taking taylor expansion of 1 in y 1.564 * [taylor]: Taking taylor expansion of 0 in y 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.570 * [taylor]: Taking taylor expansion of 0 in y 1.572 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.572 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.572 * [taylor]: Taking taylor expansion of x in y 1.572 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.572 * [taylor]: Taking taylor expansion of 2 in y 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.572 * [taylor]: Taking taylor expansion of y in y 1.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.576 * [taylor]: Taking taylor expansion of 2 in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.576 * [taylor]: Taking taylor expansion of y in x 1.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.578 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.578 * [taylor]: Taking taylor expansion of 2 in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.578 * [taylor]: Taking taylor expansion of y in x 1.581 * [taylor]: Taking taylor expansion of 1 in y 1.581 * [taylor]: Taking taylor expansion of 0 in y 1.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.583 * [taylor]: Taking taylor expansion of y in y 1.587 * [taylor]: Taking taylor expansion of 0 in y 1.588 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.588 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.588 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.588 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.588 * [taylor]: Taking taylor expansion of x in y 1.588 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.588 * [taylor]: Taking taylor expansion of 2 in y 1.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.588 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.589 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.589 * [taylor]: Taking taylor expansion of 2 in x 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.589 * [taylor]: Taking taylor expansion of y in x 1.590 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.590 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.590 * [taylor]: Taking taylor expansion of 2 in x 1.590 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.590 * [taylor]: Taking taylor expansion of y in x 1.591 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.591 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.591 * [taylor]: Taking taylor expansion of 2 in y 1.591 * [taylor]: Taking taylor expansion of y in y 1.592 * [taylor]: Taking taylor expansion of 0 in y 1.595 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.595 * [taylor]: Taking taylor expansion of 1/2 in y 1.595 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.595 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.595 * [taylor]: Taking taylor expansion of 2 in y 1.596 * [taylor]: Taking taylor expansion of y in y 1.604 * [taylor]: Taking taylor expansion of 0 in y 1.606 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.606 * [taylor]: Taking taylor expansion of x in y 1.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.606 * [taylor]: Taking taylor expansion of 2 in y 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.606 * [taylor]: Taking taylor expansion of y in y 1.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.610 * [taylor]: Taking taylor expansion of 2 in x 1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.613 * [taylor]: Taking taylor expansion of 2 in x 1.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.613 * [taylor]: Taking taylor expansion of y in x 1.615 * [taylor]: Taking taylor expansion of 1 in y 1.615 * [taylor]: Taking taylor expansion of 0 in y 1.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.617 * [taylor]: Taking taylor expansion of y in y 1.621 * [taylor]: Taking taylor expansion of 0 in y 1.622 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.622 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.622 * [taylor]: Taking taylor expansion of x in y 1.622 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.622 * [taylor]: Taking taylor expansion of 2 in y 1.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.622 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.622 * [taylor]: Taking taylor expansion of y in y 1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.626 * [taylor]: Taking taylor expansion of 2 in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.626 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.626 * [taylor]: Taking taylor expansion of y in x 1.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.629 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.629 * [taylor]: Taking taylor expansion of 2 in x 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.629 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.629 * [taylor]: Taking taylor expansion of y in x 1.631 * [taylor]: Taking taylor expansion of 1 in y 1.631 * [taylor]: Taking taylor expansion of 0 in y 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.633 * [taylor]: Taking taylor expansion of y in y 1.636 * [taylor]: Taking taylor expansion of 0 in y 1.638 * * * [progress]: simplifying candidates 1.639 * [simplify]: Simplifying using # : (log (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (exp (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (* (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (* (* (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (* (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (sqrt (cbrt (+ (* 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y))))) (* (* y y) (* y y)))) (sqrt (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (log (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (exp (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (* (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (* (* (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (* (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (sqrt (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt 1) (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) (sqrt (+ (pow (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) 3) (pow (* y y) 3))) (sqrt (+ (* (* (sqrt (+ (+ 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x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt 3) y) x (* -1 x) (* (sqrt 3) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) 1.649 * * [simplify]: iteration 0 : 149 enodes (cost 996 ) 1.652 * * [simplify]: iteration 1 : 437 enodes (cost 956 ) 1.662 * * [simplify]: iteration 2 : 1864 enodes (cost 956 ) 1.706 * * [simplify]: iteration 3 : 5001 enodes (cost 938 ) 1.710 * [simplify]: Simplified to: (log (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (exp (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (* (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))))) (cbrt (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (pow (sqrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))) 3) (fabs (cbrt (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (sqrt (cbrt (+ (* (sqrt (+ (+ (* x x) 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(* y y)) (* y y))))) (fabs x) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt 3) y) x (* -1 x) (* (sqrt 3) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) 1.710 * * * [progress]: adding candidates to table 1.936 * [progress]: [Phase 3 of 3] Extracting. 1.936 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.942 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.942 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 1.969 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.994 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # #) 2.022 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 2.049 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 2.080 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 2.112 * * * [regime]: Found split indices: #