13.302 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.019 * * [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 0.029 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.034 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.046 * [taylor]: Taking taylor expansion of 1/2 in y 0.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.052 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 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 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.060 * [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 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of -1/8 in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.071 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 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 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [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 0.078 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.090 * [taylor]: Taking taylor expansion of -1/2 in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.098 * [taylor]: Taking taylor expansion of -1/8 in y 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.100 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.100 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.100 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.100 * [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 y in y 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of 1 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.125 * * * [progress]: simplifying candidates 0.126 * [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) 0.130 * * [simplify]: iteration 0 : 141 enodes (cost 152 ) 0.135 * * [simplify]: iteration 1 : 475 enodes (cost 139 ) 0.146 * * [simplify]: iteration 2 : 1515 enodes (cost 138 ) 0.186 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.188 * [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) 0.188 * * * [progress]: adding candidates to table 0.258 * * [progress]: iteration 2 / 4 0.258 * * * [progress]: picking best candidate 0.263 * * * * [pick]: Picked # 0.263 * * * [progress]: localizing error 0.272 * * * [progress]: generating rewritten candidates 0.272 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.276 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.281 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.285 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.303 * * * [progress]: generating series expansions 0.303 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.304 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.305 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.305 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.308 * [taylor]: Taking taylor expansion of 1/2 in y 0.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.313 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of 1 in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.323 * [taylor]: Taking taylor expansion of 1/2 in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of -1/8 in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.335 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.335 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of 1 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.344 * [taylor]: Taking taylor expansion of -1/2 in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of -1/8 in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.352 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.352 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.352 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.353 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.353 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.356 * [taylor]: Taking taylor expansion of 1/2 in y 0.356 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.361 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of 1 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.371 * [taylor]: Taking taylor expansion of 1/2 in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of -1/8 in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.377 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.377 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.380 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.383 * [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 1 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.387 * [taylor]: Taking taylor expansion of -1/2 in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of -1/8 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 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.394 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.394 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.395 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.396 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.399 * [taylor]: Taking taylor expansion of 1/2 in y 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.404 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.413 * [taylor]: Taking taylor expansion of 1/2 in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of -1/8 in y 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.420 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.420 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.420 * [taylor]: Taking taylor expansion of y in y 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 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.431 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of 1 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.436 * [taylor]: Taking taylor expansion of -1/2 in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of -1/8 in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.443 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.443 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 0.443 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 0.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 0.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 0.443 * [taylor]: Taking taylor expansion of 1/3 in y 0.443 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.443 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.443 * [taylor]: Taking taylor expansion of x in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.444 * [taylor]: Taking taylor expansion of 1/3 in x 0.444 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.444 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 0.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 0.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 0.444 * [taylor]: Taking taylor expansion of 1/3 in x 0.444 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.444 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.444 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.444 * [taylor]: Taking taylor expansion of 1/3 in y 0.444 * [taylor]: Taking taylor expansion of (log y) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 0.452 * [taylor]: Taking taylor expansion of 1/3 in y 0.452 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.452 * [taylor]: Taking taylor expansion of 1/3 in y 0.452 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.470 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.470 * [taylor]: Taking taylor expansion of 1/3 in y 0.470 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.472 * [taylor]: Taking taylor expansion of 1/3 in x 0.472 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.473 * [taylor]: Taking taylor expansion of 1/3 in x 0.473 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.475 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.475 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.475 * [taylor]: Taking taylor expansion of -2/3 in y 0.475 * [taylor]: Taking taylor expansion of (log x) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.483 * [taylor]: Taking taylor expansion of 1/3 in y 0.483 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.483 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.484 * [taylor]: Taking taylor expansion of 1/3 in y 0.484 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 0.497 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.497 * [taylor]: Taking taylor expansion of 1/3 in y 0.497 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.497 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.499 * [taylor]: Taking taylor expansion of 1/3 in x 0.499 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.499 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 0.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.501 * [taylor]: Taking taylor expansion of 1/3 in x 0.501 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.501 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.503 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.503 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.503 * [taylor]: Taking taylor expansion of -2/3 in y 0.503 * [taylor]: Taking taylor expansion of (log x) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 0.511 * [taylor]: Taking taylor expansion of -1/3 in y 0.511 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 0.511 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.511 * [taylor]: Taking taylor expansion of 1/3 in y 0.511 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of 0 in y 0.531 * * * [progress]: simplifying candidates 0.532 * [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))) (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))) (+ 1/3 1/3) (+ 1 1) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (+ 1 1) (+ (log (cbrt (sqrt (+ (* x x) y)))) (log (cbrt (sqrt (+ (* x x) y))))) (log (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (exp (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))) (cbrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (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))) (cbrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (* 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(cbrt (sqrt (+ (* x x) y)))))) (* (cbrt (sqrt (+ (* x x) y))) (sqrt (cbrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (* x x) y))) 1) (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (cbrt (+ (* x x) y)))) (cbrt (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)))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))) (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (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)))) (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) 0.539 * * [simplify]: iteration 0 : 234 enodes (cost 1154 ) 0.545 * * [simplify]: iteration 1 : 786 enodes (cost 1095 ) 0.564 * * [simplify]: iteration 2 : 3326 enodes (cost 1024 ) 0.638 * * [simplify]: iteration 3 : 5001 enodes (cost 986 ) 0.643 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (cbrt (+ (* 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 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(* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) 1 (cbrt (+ (* 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))))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) 1 (cbrt (+ (* x x) y)) (pow (cbrt (cbrt (sqrt (+ (* x x) y)))) 4) (* (cbrt (cbrt (sqrt (+ (* x x) y)))) (cbrt (cbrt (sqrt (+ (* x x) y))))) (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) 1 (cbrt (+ (* 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))))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt 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y))) (cbrt (sqrt (+ (* x x) y)))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (sqrt (+ (* x x) y))) (pow (cbrt (cbrt (sqrt (+ (* x x) y)))) 5) (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 3) (cbrt (sqrt (+ (* x x) y))) (pow (cbrt (cbrt (sqrt (+ (* x x) y)))) 4) (* (cbrt (sqrt (cbrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (+ (* x x) y)) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (+ (* x x) y)) (pow (cbrt (cbrt (sqrt (+ (* x x) y)))) 4) (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 3) (cbrt (+ (* x x) y)) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y 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)))) (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) 0.644 * * * [progress]: adding candidates to table 0.916 * * [progress]: iteration 3 / 4 0.916 * * * [progress]: picking best candidate 0.919 * * * * [pick]: Picked # 0.919 * * * [progress]: localizing error 0.925 * * * [progress]: generating rewritten candidates 0.925 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 0.933 * * * [progress]: generating series expansions 0.933 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 0.933 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.933 * [taylor]: Taking taylor expansion of 1/2 in x 0.933 * [taylor]: Taking taylor expansion of (/ y x) in x 0.933 * [taylor]: Taking taylor expansion of y in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.933 * [taylor]: Taking taylor expansion of 1/2 in y 0.933 * [taylor]: Taking taylor expansion of (/ y x) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of x in y 0.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.933 * [taylor]: Taking taylor expansion of 1/2 in y 0.933 * [taylor]: Taking taylor expansion of (/ y x) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of x in y 0.934 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.934 * [taylor]: Taking taylor expansion of 1/2 in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of 0 in x 0.941 * [taylor]: Taking taylor expansion of 0 in x 0.942 * [taylor]: Taking taylor expansion of 0 in x 0.943 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.943 * [taylor]: Taking taylor expansion of 1/2 in x 0.943 * [taylor]: Taking taylor expansion of (/ x y) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.943 * [taylor]: Taking taylor expansion of 1/2 in y 0.943 * [taylor]: Taking taylor expansion of (/ x y) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.943 * [taylor]: Taking taylor expansion of 1/2 in y 0.943 * [taylor]: Taking taylor expansion of (/ x y) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.944 * [taylor]: Taking taylor expansion of 1/2 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of 0 in x 0.947 * [taylor]: Taking taylor expansion of 0 in x 0.950 * [taylor]: Taking taylor expansion of 0 in x 0.950 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.950 * [taylor]: Taking taylor expansion of 1/2 in x 0.950 * [taylor]: Taking taylor expansion of (/ x y) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.950 * [taylor]: Taking taylor expansion of 1/2 in y 0.950 * [taylor]: Taking taylor expansion of (/ x y) in y 0.950 * [taylor]: Taking taylor expansion of x in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.950 * [taylor]: Taking taylor expansion of 1/2 in y 0.950 * [taylor]: Taking taylor expansion of (/ x y) in y 0.950 * [taylor]: Taking taylor expansion of x in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.951 * [taylor]: Taking taylor expansion of 1/2 in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of 0 in x 0.954 * [taylor]: Taking taylor expansion of 0 in x 0.957 * [taylor]: Taking taylor expansion of 0 in x 0.957 * * * [progress]: simplifying candidates 0.957 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.961 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.966 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.982 * * [simplify]: iteration 2 : 2966 enodes (cost 118 ) 1.025 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 1.026 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 1.026 * * * [progress]: adding candidates to table 1.077 * * [progress]: iteration 4 / 4 1.077 * * * [progress]: picking best candidate 1.078 * * * * [pick]: Picked # 1.078 * * * [progress]: localizing error 1.088 * * * [progress]: generating rewritten candidates 1.088 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 1.096 * * * [progress]: generating series expansions 1.096 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 1.096 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 1.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.096 * [taylor]: Taking taylor expansion of 1/2 in x 1.096 * [taylor]: Taking taylor expansion of (/ y x) in x 1.096 * [taylor]: Taking taylor expansion of y in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.096 * [taylor]: Taking taylor expansion of 1/2 in y 1.096 * [taylor]: Taking taylor expansion of (/ y x) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of x in y 1.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.097 * [taylor]: Taking taylor expansion of 1/2 in y 1.097 * [taylor]: Taking taylor expansion of (/ y x) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of x in y 1.097 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 1.097 * [taylor]: Taking taylor expansion of 1/2 in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of 0 in x 1.099 * [taylor]: Taking taylor expansion of 0 in x 1.101 * [taylor]: Taking taylor expansion of 0 in x 1.101 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.101 * [taylor]: Taking taylor expansion of 1/2 in x 1.101 * [taylor]: Taking taylor expansion of (/ x y) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.102 * [taylor]: Taking taylor expansion of 1/2 in y 1.102 * [taylor]: Taking taylor expansion of (/ x y) in y 1.102 * [taylor]: Taking taylor expansion of x in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.102 * [taylor]: Taking taylor expansion of 1/2 in y 1.102 * [taylor]: Taking taylor expansion of (/ x y) in y 1.102 * [taylor]: Taking taylor expansion of x in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.102 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.102 * [taylor]: Taking taylor expansion of 1/2 in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of 0 in x 1.105 * [taylor]: Taking taylor expansion of 0 in x 1.108 * [taylor]: Taking taylor expansion of 0 in x 1.108 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.108 * [taylor]: Taking taylor expansion of 1/2 in x 1.108 * [taylor]: Taking taylor expansion of (/ x y) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of y in x 1.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.108 * [taylor]: Taking taylor expansion of 1/2 in y 1.108 * [taylor]: Taking taylor expansion of (/ x y) in y 1.108 * [taylor]: Taking taylor expansion of x in y 1.108 * [taylor]: Taking taylor expansion of y in y 1.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.108 * [taylor]: Taking taylor expansion of 1/2 in y 1.109 * [taylor]: Taking taylor expansion of (/ x y) in y 1.109 * [taylor]: Taking taylor expansion of x in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.109 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.109 * [taylor]: Taking taylor expansion of 1/2 in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of 0 in x 1.112 * [taylor]: Taking taylor expansion of 0 in x 1.115 * [taylor]: Taking taylor expansion of 0 in x 1.115 * * * [progress]: simplifying candidates 1.115 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 1.119 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 1.124 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 1.140 * * [simplify]: iteration 2 : 2966 enodes (cost 118 ) 1.184 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 1.185 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 1.186 * * * [progress]: adding candidates to table 1.240 * [progress]: [Phase 3 of 3] Extracting. 1.240 * * [regime]: Finding splitpoints for: (# # # #) 1.241 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.241 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.259 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.270 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.294 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 1.306 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.333 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 1.348 * * * * [regimes]: Trying to branch on y from (# # # #) 1.381 * * * * [regimes]: Trying to branch on x from (# # # #) 1.408 * * * [regime]: Found split indices: #