12.007 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.131 * * * [progress]: [2/2] Setting up program. 0.134 * [progress]: [Phase 2 of 3] Improving. 0.134 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.136 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.137 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.138 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.138 * * [progress]: iteration 1 / 4 0.138 * * * [progress]: picking best candidate 0.141 * * * * [pick]: Picked # 0.141 * * * [progress]: localizing error 0.145 * * * [progress]: generating rewritten candidates 0.145 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.149 * * * [progress]: generating series expansions 0.150 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.150 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.151 * [taylor]: Taking taylor expansion of 1/2 in y 0.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.152 * [taylor]: Taking taylor expansion of 1/2 in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of -1/8 in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.154 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.154 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of 1 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.154 * [taylor]: Taking taylor expansion of -1/2 in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.155 * [taylor]: Taking taylor expansion of -1/8 in y 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * * * [progress]: simplifying candidates 0.156 * [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))) (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN)))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) 0.159 * * [simplify]: iteration 0 : 114 enodes (cost 94 ) 0.161 * * [simplify]: iteration 1 : 344 enodes (cost 92 ) 0.167 * * [simplify]: iteration 2 : 1037 enodes (cost 90 ) 0.192 * * [simplify]: iteration 3 : 4760 enodes (cost 89 ) 0.326 * * [simplify]: iteration 4 : 5001 enodes (cost 89 ) 0.327 * [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))) (* NAN (+ (* (* NAN NAN) (pow y 2)) (+ (* 1/2 (pow x 2)) y))) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) 0.327 * * * [progress]: adding candidates to table 0.349 * * [progress]: iteration 2 / 4 0.349 * * * [progress]: picking best candidate 0.356 * * * * [pick]: Picked # 0.356 * * * [progress]: localizing error 0.365 * * * [progress]: generating rewritten candidates 0.365 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.369 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.373 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.389 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.398 * * * [progress]: generating series expansions 0.398 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.398 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.398 * [taylor]: Taking taylor expansion of x in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.399 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.399 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [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 0.400 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.400 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of 1 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.401 * [taylor]: Taking taylor expansion of 1/2 in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.402 * [taylor]: Taking taylor expansion of -1/8 in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.402 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.402 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.402 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.403 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of 1 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.403 * [taylor]: Taking taylor expansion of -1/2 in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of -1/8 in y 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.404 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in y 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.405 * [taylor]: Taking taylor expansion of 1/2 in y 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.406 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [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 0.406 * [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 0.406 * [taylor]: Taking taylor expansion of 1 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.407 * [taylor]: Taking taylor expansion of 1/2 in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of -1/8 in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.408 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.408 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.408 * [taylor]: Taking taylor expansion of y in y 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 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [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 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [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 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.409 * [taylor]: Taking taylor expansion of -1/8 in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.410 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.410 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.410 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.410 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.410 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.411 * [taylor]: Taking taylor expansion of 1/2 in y 0.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of 1 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.412 * [taylor]: Taking taylor expansion of 1/2 in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of -1/8 in y 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.413 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.413 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.414 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.414 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of 1 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.415 * [taylor]: Taking taylor expansion of -1/2 in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of -1/8 in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.416 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 0.416 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 0.416 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 0.416 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 0.416 * [taylor]: Taking taylor expansion of 1/4 in y 0.416 * [taylor]: Taking taylor expansion of (log (+ (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 0.416 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.416 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.416 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.416 * [taylor]: Taking taylor expansion of 1/4 in x 0.416 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.416 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.416 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.416 * [taylor]: Taking taylor expansion of 1/4 in x 0.416 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.416 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.416 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.416 * [taylor]: Taking taylor expansion of 1/4 in y 0.416 * [taylor]: Taking taylor expansion of (log y) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.418 * [taylor]: Taking taylor expansion of 1/4 in y 0.418 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.418 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.418 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.418 * [taylor]: Taking taylor expansion of 1/4 in y 0.418 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.418 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.421 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.421 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.421 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.421 * [taylor]: Taking taylor expansion of 1/4 in y 0.421 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.421 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.421 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.421 * [taylor]: Taking taylor expansion of 1/4 in x 0.421 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.422 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.422 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.422 * [taylor]: Taking taylor expansion of 1/4 in x 0.422 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 1) (* 2 (log x))))) in y 0.422 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 1) (* 2 (log x)))) in y 0.422 * [taylor]: Taking taylor expansion of 1/4 in y 0.422 * [taylor]: Taking taylor expansion of (- (log 1) (* 2 (log x))) in y 0.422 * [taylor]: Taking taylor expansion of (log 1) in y 0.422 * [taylor]: Taking taylor expansion of 1 in y 0.422 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.422 * [taylor]: Taking taylor expansion of 2 in y 0.422 * [taylor]: Taking taylor expansion of (log x) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [taylor]: Taking taylor expansion of (* 1/4 (/ (exp (* 1/4 (- (log 1) (* 2 (log x))))) y)) in y 0.424 * [taylor]: Taking taylor expansion of 1/4 in y 0.424 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (- (log 1) (* 2 (log x))))) y) in y 0.424 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 1) (* 2 (log x))))) in y 0.424 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 1) (* 2 (log x)))) in y 0.424 * [taylor]: Taking taylor expansion of 1/4 in y 0.424 * [taylor]: Taking taylor expansion of (- (log 1) (* 2 (log x))) in y 0.424 * [taylor]: Taking taylor expansion of (log 1) in y 0.424 * [taylor]: Taking taylor expansion of 1 in y 0.424 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.424 * [taylor]: Taking taylor expansion of 2 in y 0.424 * [taylor]: Taking taylor expansion of (log x) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.426 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.427 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.427 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.427 * [taylor]: Taking taylor expansion of 1/4 in y 0.427 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.427 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.427 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.427 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.427 * [taylor]: Taking taylor expansion of 1/4 in x 0.427 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.427 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.427 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.427 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.427 * [taylor]: Taking taylor expansion of 1/4 in x 0.427 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.427 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 1) (* 2 (log x))))) in y 0.428 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 1) (* 2 (log x)))) in y 0.428 * [taylor]: Taking taylor expansion of 1/4 in y 0.428 * [taylor]: Taking taylor expansion of (- (log 1) (* 2 (log x))) in y 0.428 * [taylor]: Taking taylor expansion of (log 1) in y 0.428 * [taylor]: Taking taylor expansion of 1 in y 0.428 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.428 * [taylor]: Taking taylor expansion of 2 in y 0.428 * [taylor]: Taking taylor expansion of (log x) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of (* -1/4 (/ (exp (* 1/4 (- (log 1) (* 2 (log x))))) y)) in y 0.430 * [taylor]: Taking taylor expansion of -1/4 in y 0.430 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (- (log 1) (* 2 (log x))))) y) in y 0.430 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 1) (* 2 (log x))))) in y 0.430 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 1) (* 2 (log x)))) in y 0.430 * [taylor]: Taking taylor expansion of 1/4 in y 0.430 * [taylor]: Taking taylor expansion of (- (log 1) (* 2 (log x))) in y 0.430 * [taylor]: Taking taylor expansion of (log 1) in y 0.430 * [taylor]: Taking taylor expansion of 1 in y 0.430 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.430 * [taylor]: Taking taylor expansion of 2 in y 0.430 * [taylor]: Taking taylor expansion of (log x) in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.432 * * * [progress]: simplifying candidates 0.434 * [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 (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 1) (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 (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))))) (* 1 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 (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 (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 (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))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* x x) y))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) 1) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (cbrt (+ (* 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 (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)))) (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN)))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN)))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN)))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (+ (exp (* 1/4 (+ (log 1) (log y)))) (* 1/4 (* (pow x 2) (exp (* 1/4 (- (log 1) (* 3 (log y)))))))) (exp (* 1/4 (- (log 1) (* 2 (log (/ 1 x)))))) (exp (* 1/4 (- (log 1) (* 2 (log (/ -1 x)))))) 0.441 * * [simplify]: iteration 0 : 295 enodes (cost 915 ) 0.448 * * [simplify]: iteration 1 : 1206 enodes (cost 858 ) 0.477 * * [simplify]: iteration 2 : 5001 enodes (cost 835 ) 0.483 * [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 (+ (* 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))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ (* x x) y) (sqrt (+ (* x x) y)) (pow (sqrt (+ (* x x) y)) 4) (+ (* x x) y) (pow (sqrt (+ (* x x) y)) 4) 2 (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (+ (* x x) y) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (pow (* x x) 3) (pow y 3))) (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 (+ (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 (+ (* (* NAN NAN) (pow y 2)) (+ (* 1/2 (pow x 2)) y))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (* NAN (+ (* (* NAN NAN) (pow y 2)) (+ (* 1/2 (pow x 2)) y))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (* NAN (+ (* (* NAN NAN) (pow y 2)) (+ (* 1/2 (pow x 2)) y))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (+ (exp (* 1/4 (+ (log 1) (log y)))) (* 1/4 (* (pow x 2) (exp (* 1/4 (- (log 1) (* 3 (log y)))))))) (exp (* 1/4 (* -2 (log (/ 1 x))))) (exp (* 1/4 (* -2 (log (/ -1 x))))) 0.486 * * * [progress]: adding candidates to table 0.583 * * [progress]: iteration 3 / 4 0.583 * * * [progress]: picking best candidate 0.588 * * * * [pick]: Picked # 0.588 * * * [progress]: localizing error 0.592 * * * [progress]: generating rewritten candidates 0.593 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.601 * * * [progress]: generating series expansions 0.601 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.601 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 0.601 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 0.601 * [taylor]: Taking taylor expansion of -1/2 in x 0.601 * [taylor]: Taking taylor expansion of (/ y x) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.601 * [taylor]: Taking taylor expansion of -1/2 in y 0.601 * [taylor]: Taking taylor expansion of (/ y x) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.601 * [taylor]: Taking taylor expansion of -1/2 in y 0.601 * [taylor]: Taking taylor expansion of (/ y x) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.601 * [taylor]: Taking taylor expansion of -1/2 in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of 0 in x 0.602 * [taylor]: Taking taylor expansion of 0 in x 0.602 * [taylor]: Taking taylor expansion of 0 in x 0.602 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.602 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.602 * [taylor]: Taking taylor expansion of -1/2 in x 0.602 * [taylor]: Taking taylor expansion of (/ x y) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.602 * [taylor]: Taking taylor expansion of -1/2 in y 0.602 * [taylor]: Taking taylor expansion of (/ x y) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.602 * [taylor]: Taking taylor expansion of -1/2 in y 0.602 * [taylor]: Taking taylor expansion of (/ x y) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.602 * [taylor]: Taking taylor expansion of -1/2 in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of 0 in x 0.603 * [taylor]: Taking taylor expansion of 0 in x 0.603 * [taylor]: Taking taylor expansion of 0 in x 0.603 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.603 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.603 * [taylor]: Taking taylor expansion of -1/2 in x 0.603 * [taylor]: Taking taylor expansion of (/ x y) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.603 * [taylor]: Taking taylor expansion of -1/2 in y 0.603 * [taylor]: Taking taylor expansion of (/ x y) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.603 * [taylor]: Taking taylor expansion of -1/2 in y 0.603 * [taylor]: Taking taylor expansion of (/ x y) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.603 * [taylor]: Taking taylor expansion of -1/2 in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of 0 in x 0.604 * [taylor]: Taking taylor expansion of 0 in x 0.604 * [taylor]: Taking taylor expansion of 0 in x 0.604 * * * [progress]: simplifying candidates 0.605 * [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)) 0.608 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.612 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.626 * * [simplify]: iteration 2 : 2950 enodes (cost 118 ) 0.669 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 0.670 * [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)) 0.670 * * * [progress]: adding candidates to table 0.703 * * [progress]: iteration 4 / 4 0.703 * * * [progress]: picking best candidate 0.705 * * * * [pick]: Picked # 0.705 * * * [progress]: localizing error 0.710 * * * [progress]: generating rewritten candidates 0.710 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.717 * * * [progress]: generating series expansions 0.717 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.718 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.718 * [taylor]: Taking taylor expansion of 1/2 in x 0.718 * [taylor]: Taking taylor expansion of (/ y x) in x 0.718 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.718 * [taylor]: Taking taylor expansion of 1/2 in y 0.718 * [taylor]: Taking taylor expansion of (/ y x) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.718 * [taylor]: Taking taylor expansion of 1/2 in y 0.718 * [taylor]: Taking taylor expansion of (/ y x) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.718 * [taylor]: Taking taylor expansion of 1/2 in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of 0 in x 0.718 * [taylor]: Taking taylor expansion of 0 in x 0.719 * [taylor]: Taking taylor expansion of 0 in x 0.719 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.719 * [taylor]: Taking taylor expansion of 1/2 in x 0.719 * [taylor]: Taking taylor expansion of (/ x y) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.719 * [taylor]: Taking taylor expansion of 1/2 in y 0.719 * [taylor]: Taking taylor expansion of (/ x y) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.719 * [taylor]: Taking taylor expansion of 1/2 in y 0.719 * [taylor]: Taking taylor expansion of (/ x y) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.720 * [taylor]: Taking taylor expansion of 1/2 in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of 0 in x 0.720 * [taylor]: Taking taylor expansion of 0 in x 0.720 * [taylor]: Taking taylor expansion of 0 in x 0.720 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.720 * [taylor]: Taking taylor expansion of 1/2 in x 0.720 * [taylor]: Taking taylor expansion of (/ x y) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of y in x 0.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.720 * [taylor]: Taking taylor expansion of 1/2 in y 0.720 * [taylor]: Taking taylor expansion of (/ x y) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.720 * [taylor]: Taking taylor expansion of 1/2 in y 0.720 * [taylor]: Taking taylor expansion of (/ x y) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.721 * [taylor]: Taking taylor expansion of 1/2 in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of 0 in x 0.721 * [taylor]: Taking taylor expansion of 0 in x 0.721 * [taylor]: Taking taylor expansion of 0 in x 0.721 * * * [progress]: simplifying candidates 0.722 * [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)) 0.725 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.729 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.744 * * [simplify]: iteration 2 : 2952 enodes (cost 118 ) 0.787 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 0.788 * [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)) 0.788 * * * [progress]: adding candidates to table 0.820 * [progress]: [Phase 3 of 3] Extracting. 0.820 * * [regime]: Finding splitpoints for: (# # # #) 0.820 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.820 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.858 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.888 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 0.929 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 0.960 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.003 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 1.037 * * * * [regimes]: Trying to branch on y from (# # # #) 1.088 * * * * [regimes]: Trying to branch on x from (# # # #) 1.136 * * * [regime]: Found split indices: #