19.851 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.162 * * * [progress]: [2/2] Setting up program. 0.164 * [progress]: [Phase 2 of 3] Improving. 0.165 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.167 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.168 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.168 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.168 * * [progress]: iteration 1 / 4 0.168 * * * [progress]: picking best candidate 0.171 * * * * [pick]: Picked # 0.171 * * * [progress]: localizing error 0.176 * * * [progress]: generating rewritten candidates 0.176 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.180 * * * [progress]: generating series expansions 0.180 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.180 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.180 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.181 * [taylor]: Taking taylor expansion of 1/2 in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of 1/2 in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of 1 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of 1/2 in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * * * [progress]: simplifying candidates 0.186 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) 0.189 * * [simplify]: iteration 0 : 89 enodes (cost 100 ) 0.191 * * [simplify]: iteration 1 : 215 enodes (cost 97 ) 0.195 * * [simplify]: iteration 2 : 503 enodes (cost 97 ) 0.203 * * [simplify]: iteration 3 : 1265 enodes (cost 97 ) 0.232 * * [simplify]: iteration 4 : 4227 enodes (cost 97 ) 0.320 * * [simplify]: iteration 5 : 5002 enodes (cost 96 ) 0.321 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) 0.321 * * * [progress]: adding candidates to table 0.347 * * [progress]: iteration 2 / 4 0.347 * * * [progress]: picking best candidate 0.355 * * * * [pick]: Picked # 0.355 * * * [progress]: localizing error 0.364 * * * [progress]: generating rewritten candidates 0.364 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.369 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.373 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.381 * * * [progress]: generating series expansions 0.381 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.381 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.382 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.382 * [taylor]: Taking taylor expansion of 1/2 in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.383 * [taylor]: Taking taylor expansion of x 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 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of 1 in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.384 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.385 * [taylor]: Taking taylor expansion of 1/2 in y 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.385 * [taylor]: Taking taylor expansion of x in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of 1 in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of 1/2 in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.387 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.387 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.387 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.388 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.388 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.389 * [taylor]: Taking taylor expansion of 1/2 in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 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 0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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 0.390 * [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 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of 1/2 in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of 1 in y 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of 1/2 in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.393 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.393 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in (x y) around 0 0.393 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in y 0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in x 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.394 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) (pow y 2))) 3) in x 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.394 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [taylor]: Taking taylor expansion of (* 3/2 y) in y 0.395 * [taylor]: Taking taylor expansion of 3/2 in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 y)) in y 0.396 * [taylor]: Taking taylor expansion of 3/8 in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in y 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of 1 in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.399 * [taylor]: Taking taylor expansion of 3/2 in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow y 4))) in y 0.401 * [taylor]: Taking taylor expansion of 3/8 in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.401 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in (x y) around 0 0.403 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in y 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of 1 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 0.404 * [taylor]: Taking taylor expansion of 3/2 in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (pow y 4))) in y 0.406 * [taylor]: Taking taylor expansion of 3/8 in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.408 * * * [progress]: simplifying candidates 0.409 * [simplify]: Simplifying using # : (log (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (exp (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt 1) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ (* x x) (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) 3)) (cbrt (pow (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) 3)) (cbrt (pow (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3)) (cbrt (pow (sqrt (- (* x x) (* y y))) 3)) (* (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (* (* (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (log (sqrt (+ (* x x) (* y y)))) 3) (* (log (sqrt (+ (* x x) (* y y)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (+ (* x x) (* y y))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ (* x x) (* y y))) (sqrt 3)) (pow (sqrt (+ (* x x) (* y y))) 1) (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow 1 3) (pow (sqrt (+ (* x x) (* y y))) 3) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (log (pow (sqrt (+ (* x x) (* y y))) 3)) (exp (pow (sqrt (+ (* x x) (* y y))) 3)) (* (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (* (* (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow 1 3) (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) 3) (pow (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) 3) (pow (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (sqrt (- (* x x) (* y y))) 3) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (/ 3 2) (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (sqrt (+ (* x x) (* y y))) (/ 3 2)) (pow (sqrt (+ (* x x) (* y y))) (/ 3 2)) y x (* -1 x) y x (* -1 x) (+ (* 3/2 (* (pow x 2) y)) (pow y 3)) (+ (* 3/2 (* x (pow y 2))) (pow x 3)) (neg (+ (* 3/2 (* x (pow y 2))) (pow x 3))) 0.415 * * [simplify]: iteration 0 : 256 enodes (cost 566 ) 0.421 * * [simplify]: iteration 1 : 979 enodes (cost 543 ) 0.443 * * [simplify]: iteration 2 : 5002 enodes (cost 533 ) 0.447 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (pow (sqrt (+ (* x x) (* y y))) 3)) (log (pow (sqrt (+ (* x x) (* y y))) 3)) 3/2 3 3/2 (pow (sqrt (+ (* x x) (* y y))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ (* x x) (* y y))) (sqrt 3)) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (pow (fabs (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (+ (* x x) (* y y)) (log (pow (sqrt (+ (* x x) (* y y))) 3)) (exp (pow (sqrt (+ (* x x) (* y y))) 3)) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (pow (pow (sqrt (+ (* x x) (* y y))) 3) 3) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (pow (fabs (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) 1 (pow (sqrt (+ (* x x) (* y y))) 3) (pow (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) 3) (pow (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) 3) (pow (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (sqrt (- (* x x) (* y y))) 3) (+ (* x x) (* y y)) 3/2 (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)) (pow (sqrt (+ (* x x) (* y y))) 3/2) (pow (sqrt (+ (* x x) (* y y))) 3/2) y x (* -1 x) y x (* -1 x) (+ (* 3/2 (* (pow x 2) y)) (pow y 3)) (+ (* 3/2 (* x (pow y 2))) (pow x 3)) (- (* -3/2 (* x (pow y 2))) (pow x 3)) 0.447 * * * [progress]: adding candidates to table 0.517 * * [progress]: iteration 3 / 4 0.517 * * * [progress]: picking best candidate 0.528 * * * * [pick]: Picked # 0.528 * * * [progress]: localizing error 0.530 * * * [progress]: generating rewritten candidates 0.530 * * * [progress]: generating series expansions 0.530 * * * [progress]: simplifying candidates 0.530 * [simplify]: Simplifying using # : 0.532 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.532 * [simplify]: Simplified to: 0.532 * * * [progress]: adding candidates to table 0.532 * * [progress]: iteration 4 / 4 0.532 * * * [progress]: picking best candidate 0.539 * * * * [pick]: Picked # 0.539 * * * [progress]: localizing error 0.540 * * * [progress]: generating rewritten candidates 0.540 * * * [progress]: generating series expansions 0.540 * * * [progress]: simplifying candidates 0.540 * [simplify]: Simplifying using # : 0.542 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.542 * [simplify]: Simplified to: 0.542 * * * [progress]: adding candidates to table 0.542 * [progress]: [Phase 3 of 3] Extracting. 0.542 * * [regime]: Finding splitpoints for: (# # # # # #) 0.542 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 0.542 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 0.590 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 0.636 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 0.682 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.718 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # #) 0.766 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.796 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # #) 0.848 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 0.882 * * * * [regimes]: Trying to branch on y from (# # # # # #) 0.952 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.016 * * * [regime]: Found split indices: #