8.432 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.020 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.037 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.047 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.050 * [taylor]: Taking taylor expansion of 1/2 in y 0.050 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.055 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.063 * [taylor]: Taking taylor expansion of 1/2 in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of -1/8 in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.070 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.070 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.072 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.074 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.079 * [taylor]: Taking taylor expansion of -1/2 in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.083 * [taylor]: Taking taylor expansion of -1/8 in y 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.091 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.091 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of 1 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * * * [progress]: simplifying candidates 0.110 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.114 * * [simplify]: iteration 0 : 141 enodes (cost 152 ) 0.118 * * [simplify]: iteration 1 : 475 enodes (cost 139 ) 0.126 * * [simplify]: iteration 2 : 1515 enodes (cost 138 ) 0.158 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.160 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (* x x) y) (* +nan.0 (- (- (pow y 2) y) (pow x 2))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.160 * * * [progress]: adding candidates to table 0.227 * * [progress]: iteration 2 / 4 0.227 * * * [progress]: picking best candidate 0.231 * * * * [pick]: Picked # 0.231 * * * [progress]: localizing error 0.238 * * * [progress]: generating rewritten candidates 0.239 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.248 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.261 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.319 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.335 * * * [progress]: generating series expansions 0.335 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.335 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in y 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.337 * [taylor]: Taking taylor expansion of (sqrt y) 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 (* 1/2 (sqrt (/ 1 y))) in y 0.339 * [taylor]: Taking taylor expansion of 1/2 in y 0.339 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.344 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of 1 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.352 * [taylor]: Taking taylor expansion of 1/2 in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of -1/8 in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) 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 (/ 1 y) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.362 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of 1 in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.366 * [taylor]: Taking taylor expansion of -1/2 in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of -1/8 in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.373 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.373 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.376 * [taylor]: Taking taylor expansion of 1/2 in y 0.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.381 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 y) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of 1 in y 0.387 * [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 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.394 * [taylor]: Taking taylor expansion of -1/8 in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.397 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.405 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of 1 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.409 * [taylor]: Taking taylor expansion of -1/2 in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.414 * [taylor]: Taking taylor expansion of -1/8 in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.416 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.416 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.417 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.417 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.419 * [taylor]: Taking taylor expansion of 1/2 in y 0.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.424 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 (/ 1 y) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of 1 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.432 * [taylor]: Taking taylor expansion of 1/2 in y 0.432 * [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 (/ -1/8 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of -1/8 in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.439 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.439 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of 1 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.447 * [taylor]: Taking taylor expansion of -1/2 in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of -1/8 in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.453 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.454 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 0.454 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 0.454 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 0.454 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 0.454 * [taylor]: Taking taylor expansion of 1/4 in y 0.454 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.454 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.454 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.454 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.454 * [taylor]: Taking taylor expansion of 1/4 in x 0.454 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.454 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.454 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.454 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.454 * [taylor]: Taking taylor expansion of 1/4 in x 0.454 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.454 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.455 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.455 * [taylor]: Taking taylor expansion of 1/4 in y 0.455 * [taylor]: Taking taylor expansion of (log y) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.461 * [taylor]: Taking taylor expansion of 1/4 in y 0.461 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.461 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.461 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.461 * [taylor]: Taking taylor expansion of 1/4 in y 0.461 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.461 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.477 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.477 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.477 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.477 * [taylor]: Taking taylor expansion of 1/4 in y 0.477 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.478 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.478 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.478 * [taylor]: Taking taylor expansion of 1/4 in x 0.478 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.479 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.480 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.480 * [taylor]: Taking taylor expansion of 1/4 in x 0.480 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.481 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.481 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.481 * [taylor]: Taking taylor expansion of -1/2 in y 0.481 * [taylor]: Taking taylor expansion of (log x) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.489 * [taylor]: Taking taylor expansion of 1/4 in y 0.489 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.504 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.504 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.504 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.504 * [taylor]: Taking taylor expansion of 1/4 in y 0.505 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.507 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.507 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.507 * [taylor]: Taking taylor expansion of 1/4 in x 0.507 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.508 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.508 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.508 * [taylor]: Taking taylor expansion of 1/4 in x 0.508 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.508 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.509 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.509 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.509 * [taylor]: Taking taylor expansion of -1/2 in y 0.509 * [taylor]: Taking taylor expansion of (log x) in y 0.509 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.517 * [taylor]: Taking taylor expansion of -1/4 in y 0.517 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.517 * [taylor]: Taking taylor expansion of x in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.526 * * * [progress]: simplifying candidates 0.528 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y))))) (log (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (exp (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))) (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (cbrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt 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(* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y)))) (exp (sqrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt 1) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 0.536 * * [simplify]: iteration 0 : 265 enodes (cost 901 ) 0.543 * * [simplify]: iteration 1 : 1063 enodes (cost 835 ) 0.570 * * [simplify]: iteration 2 : 5001 enodes (cost 816 ) 0.574 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* 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y))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 4) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 2 1/2 1 1/2 (* (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 4) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (fabs (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ (* x x) y))) (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 4) (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ (* x x) y)) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ (* x x) y)) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (log (sqrt (sqrt (+ (* x x) y)))) (exp (sqrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (sqrt (sqrt (+ (* x x) y)))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (fabs (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) 1 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) 1 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (* +nan.0 (+ (- (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (* +nan.0 (+ (- (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (* +nan.0 (+ (- (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 0.575 * * * [progress]: adding candidates to table 0.815 * * [progress]: iteration 3 / 4 0.815 * * * [progress]: picking best candidate 0.818 * * * * [pick]: Picked # 0.818 * * * [progress]: localizing error 0.824 * * * [progress]: generating rewritten candidates 0.824 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.830 * * * [progress]: generating series expansions 0.830 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.830 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.831 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.831 * [taylor]: Taking taylor expansion of x in y 0.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.831 * [taylor]: Taking taylor expansion of 1/2 in y 0.831 * [taylor]: Taking taylor expansion of (/ y x) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of x in y 0.831 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.831 * [taylor]: Taking taylor expansion of 1/2 in x 0.831 * [taylor]: Taking taylor expansion of (/ y x) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.831 * [taylor]: Taking taylor expansion of 1/2 in x 0.831 * [taylor]: Taking taylor expansion of (/ y x) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.831 * [taylor]: Taking taylor expansion of 1/2 in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.835 * [taylor]: Taking taylor expansion of 1 in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.839 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.839 * [taylor]: Taking taylor expansion of 1/2 in y 0.839 * [taylor]: Taking taylor expansion of (/ x y) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.839 * [taylor]: Taking taylor expansion of 1/2 in x 0.839 * [taylor]: Taking taylor expansion of (/ x y) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.839 * [taylor]: Taking taylor expansion of 1/2 in x 0.839 * [taylor]: Taking taylor expansion of (/ x y) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of 1 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.841 * [taylor]: Taking taylor expansion of 1/2 in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.845 * [taylor]: Taking taylor expansion of 0 in y 0.845 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.845 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.845 * [taylor]: Taking taylor expansion of 1/2 in y 0.845 * [taylor]: Taking taylor expansion of (/ x y) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.845 * [taylor]: Taking taylor expansion of 1/2 in x 0.845 * [taylor]: Taking taylor expansion of (/ x y) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of y in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.846 * [taylor]: Taking taylor expansion of 1/2 in x 0.846 * [taylor]: Taking taylor expansion of (/ x y) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of -1 in y 0.847 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.848 * [taylor]: Taking taylor expansion of 1/2 in y 0.848 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of 0 in y 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.852 * * * [progress]: simplifying candidates 0.853 * [simplify]: Simplifying using # : (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.860 * * [simplify]: iteration 0 : 83 enodes (cost 76 ) 0.863 * * [simplify]: iteration 1 : 297 enodes (cost 69 ) 0.870 * * [simplify]: iteration 2 : 1101 enodes (cost 69 ) 0.894 * * [simplify]: iteration 3 : 3891 enodes (cost 69 ) 0.967 * * [simplify]: iteration 4 : 5001 enodes (cost 69 ) 0.968 * [simplify]: Simplified to: (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.968 * * * [progress]: adding candidates to table 0.988 * * [progress]: iteration 4 / 4 0.988 * * * [progress]: picking best candidate 0.989 * * * * [pick]: Picked # 0.989 * * * [progress]: localizing error 0.995 * * * [progress]: generating rewritten candidates 0.995 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.001 * * * [progress]: generating series expansions 1.001 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.001 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 1.001 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 1.001 * [taylor]: Taking taylor expansion of x in y 1.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.001 * [taylor]: Taking taylor expansion of 1/2 in y 1.001 * [taylor]: Taking taylor expansion of (/ y x) in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of x in y 1.001 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.001 * [taylor]: Taking taylor expansion of 1/2 in x 1.001 * [taylor]: Taking taylor expansion of (/ y x) in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.001 * [taylor]: Taking taylor expansion of 1/2 in x 1.001 * [taylor]: Taking taylor expansion of (/ y x) in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.001 * [taylor]: Taking taylor expansion of 1/2 in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.003 * [taylor]: Taking taylor expansion of 0 in y 1.005 * [taylor]: Taking taylor expansion of 1 in y 1.007 * [taylor]: Taking taylor expansion of 0 in y 1.008 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.008 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 1.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.008 * [taylor]: Taking taylor expansion of 1/2 in y 1.008 * [taylor]: Taking taylor expansion of (/ x y) in y 1.008 * [taylor]: Taking taylor expansion of x in y 1.008 * [taylor]: Taking taylor expansion of y in y 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.008 * [taylor]: Taking taylor expansion of x in y 1.008 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.008 * [taylor]: Taking taylor expansion of 1/2 in x 1.008 * [taylor]: Taking taylor expansion of (/ x y) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.009 * [taylor]: Taking taylor expansion of 1/2 in x 1.009 * [taylor]: Taking taylor expansion of (/ x y) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of y in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of 1 in y 1.010 * [taylor]: Taking taylor expansion of 0 in y 1.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.010 * [taylor]: Taking taylor expansion of 1/2 in y 1.010 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of 0 in y 1.014 * [taylor]: Taking taylor expansion of 0 in y 1.014 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.014 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 1.014 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.014 * [taylor]: Taking taylor expansion of 1/2 in y 1.014 * [taylor]: Taking taylor expansion of (/ x y) in y 1.014 * [taylor]: Taking taylor expansion of x in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.014 * [taylor]: Taking taylor expansion of x in y 1.014 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.015 * [taylor]: Taking taylor expansion of 1/2 in x 1.015 * [taylor]: Taking taylor expansion of (/ x y) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.015 * [taylor]: Taking taylor expansion of 1/2 in x 1.015 * [taylor]: Taking taylor expansion of (/ x y) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of -1 in y 1.016 * [taylor]: Taking taylor expansion of 0 in y 1.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.017 * [taylor]: Taking taylor expansion of 1/2 in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.021 * [taylor]: Taking taylor expansion of 0 in y 1.021 * * * [progress]: simplifying candidates 1.022 * [simplify]: Simplifying using # : (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 1.024 * * [simplify]: iteration 0 : 83 enodes (cost 76 ) 1.027 * * [simplify]: iteration 1 : 297 enodes (cost 69 ) 1.034 * * [simplify]: iteration 2 : 1101 enodes (cost 69 ) 1.056 * * [simplify]: iteration 3 : 3891 enodes (cost 69 ) 1.127 * * [simplify]: iteration 4 : 5001 enodes (cost 69 ) 1.128 * [simplify]: Simplified to: (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 1.128 * * * [progress]: adding candidates to table 1.152 * [progress]: [Phase 3 of 3] Extracting. 1.152 * * [regime]: Finding splitpoints for: (# # # #) 1.152 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.152 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.169 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.183 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.201 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 1.212 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.237 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 1.251 * * * * [regimes]: Trying to branch on y from (# # # #) 1.273 * * * * [regimes]: Trying to branch on x from (# # # #) 1.300 * * * [regime]: Found split indices: #