25.283 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.080 * * * [progress]: [2/2] Setting up program. 0.083 * [progress]: [Phase 2 of 3] Improving. 0.083 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.085 * * [simplify]: iteration 0 : 6 enodes (cost 6 ) 0.085 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.086 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.088 * * [progress]: iteration 1 / 4 0.088 * * * [progress]: picking best candidate 0.091 * * * * [pick]: Picked # 0.091 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.095 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.099 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.103 * * * [progress]: generating series expansions 0.103 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.103 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.104 * [taylor]: Taking taylor expansion of 1/2 in y 0.104 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.105 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 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 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [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 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.106 * [taylor]: Taking taylor expansion of 1/2 in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of -1/8 in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of 1 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.108 * [taylor]: Taking taylor expansion of -1/2 in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of -1/8 in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.109 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 1 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of 1 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * * * [progress]: simplifying candidates 0.113 * [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) (+ (* (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 x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.165 * * [simplify]: iteration 0 : 4926 enodes (cost 260 ) 0.165 * * [simplify]: iteration 1 : 4926 enodes (cost 260 ) 0.167 * [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 6) (pow y 3))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* 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 6) (pow y 3)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* x x) y) (+ (* y (* y (pow NAN 3))) (* NAN (+ y (* x (* x 1/2))))) (+ x (* y (/ 1/2 x))) (- (* y (/ -1/2 x)) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.167 * * * [progress]: adding candidates to table 0.386 * * [progress]: iteration 2 / 4 0.386 * * * [progress]: picking best candidate 0.393 * * * * [pick]: Picked # 0.393 * * * [progress]: localizing error 0.400 * * * [progress]: generating rewritten candidates 0.400 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.404 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.408 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.424 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.434 * * * [progress]: generating series expansions 0.434 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.434 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.434 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.434 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.434 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.435 * [taylor]: Taking taylor expansion of 1/2 in y 0.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of 1 in y 0.436 * [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 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of -1/8 in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.437 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.437 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.437 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of 1 in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.438 * [taylor]: Taking taylor expansion of -1/2 in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of -1/8 in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.439 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.440 * [taylor]: Taking taylor expansion of 1/2 in y 0.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.441 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of 1 in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.442 * [taylor]: Taking taylor expansion of 1/2 in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.443 * [taylor]: Taking taylor expansion of -1/8 in y 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.443 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.443 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.443 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.444 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of 1 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.444 * [taylor]: Taking taylor expansion of -1/2 in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.445 * [taylor]: Taking taylor expansion of -1/8 in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.445 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.445 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.446 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.446 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.446 * [taylor]: Taking taylor expansion of 1/2 in y 0.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.447 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of 1 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.448 * [taylor]: Taking taylor expansion of 1/2 in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of -1/8 in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.452 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.452 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.453 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.453 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of 1 in y 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.454 * [taylor]: Taking taylor expansion of -1/2 in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.454 * [taylor]: Taking taylor expansion of -1/8 in y 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.455 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.455 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 0.455 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 0.455 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 0.455 * [taylor]: Taking taylor expansion of 1/4 in y 0.455 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.455 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.455 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.455 * [taylor]: Taking taylor expansion of 1/4 in x 0.455 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.455 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.455 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.455 * [taylor]: Taking taylor expansion of 1/4 in x 0.455 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.456 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.456 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.456 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.456 * [taylor]: Taking taylor expansion of 1/4 in y 0.456 * [taylor]: Taking taylor expansion of (log y) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.457 * [taylor]: Taking taylor expansion of 1/4 in y 0.457 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.457 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.457 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.457 * [taylor]: Taking taylor expansion of 1/4 in y 0.457 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.457 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.460 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.460 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.460 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.460 * [taylor]: Taking taylor expansion of 1/4 in y 0.460 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.461 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.461 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.461 * [taylor]: Taking taylor expansion of 1/4 in x 0.461 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.461 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.461 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.461 * [taylor]: Taking taylor expansion of 1/4 in x 0.461 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 1) (* 2 (log x))))) in y 0.462 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 1) (* 2 (log x)))) in y 0.462 * [taylor]: Taking taylor expansion of 1/4 in y 0.462 * [taylor]: Taking taylor expansion of (- (log 1) (* 2 (log x))) in y 0.462 * [taylor]: Taking taylor expansion of (log 1) in y 0.462 * [taylor]: Taking taylor expansion of 1 in y 0.462 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.462 * [taylor]: Taking taylor expansion of 2 in y 0.462 * [taylor]: Taking taylor expansion of (log x) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [taylor]: Taking taylor expansion of (* 1/4 (/ (exp (* 1/4 (- (log 1) (* 2 (log x))))) y)) in y 0.464 * [taylor]: Taking taylor expansion of 1/4 in y 0.464 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (- (log 1) (* 2 (log x))))) y) in y 0.464 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 1) (* 2 (log x))))) in y 0.464 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 1) (* 2 (log x)))) in y 0.464 * [taylor]: Taking taylor expansion of 1/4 in y 0.464 * [taylor]: Taking taylor expansion of (- (log 1) (* 2 (log x))) in y 0.464 * [taylor]: Taking taylor expansion of (log 1) in y 0.464 * [taylor]: Taking taylor expansion of 1 in y 0.464 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.464 * [taylor]: Taking taylor expansion of 2 in y 0.464 * [taylor]: Taking taylor expansion of (log x) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.467 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.467 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.467 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.467 * [taylor]: Taking taylor expansion of 1/4 in y 0.467 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.467 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.467 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.467 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.467 * [taylor]: Taking taylor expansion of 1/4 in x 0.467 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.467 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.467 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.468 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.468 * [taylor]: Taking taylor expansion of 1/4 in x 0.468 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 1) (* 2 (log x))))) in y 0.468 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 1) (* 2 (log x)))) in y 0.468 * [taylor]: Taking taylor expansion of 1/4 in y 0.468 * [taylor]: Taking taylor expansion of (- (log 1) (* 2 (log x))) in y 0.468 * [taylor]: Taking taylor expansion of (log 1) in y 0.468 * [taylor]: Taking taylor expansion of 1 in y 0.468 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.468 * [taylor]: Taking taylor expansion of 2 in y 0.468 * [taylor]: Taking taylor expansion of (log x) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of (* -1/4 (/ (exp (* 1/4 (- (log 1) (* 2 (log x))))) y)) in y 0.470 * [taylor]: Taking taylor expansion of -1/4 in y 0.470 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (- (log 1) (* 2 (log x))))) y) in y 0.470 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 1) (* 2 (log x))))) in y 0.470 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 1) (* 2 (log x)))) in y 0.470 * [taylor]: Taking taylor expansion of 1/4 in y 0.470 * [taylor]: Taking taylor expansion of (- (log 1) (* 2 (log x))) in y 0.470 * [taylor]: Taking taylor expansion of (log 1) in y 0.470 * [taylor]: Taking taylor expansion of 1 in y 0.470 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.470 * [taylor]: Taking taylor expansion of 2 in y 0.470 * [taylor]: Taking taylor expansion of (log x) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.473 * * * [progress]: simplifying candidates 0.475 * [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 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(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)))))) 0.540 * * [simplify]: iteration 0 : 5028 enodes (cost 1345 ) 0.545 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 4) (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 6) (pow y 3))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) 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y)))) (sqrt (fabs (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 6) (pow y 3)))) (sqrt (sqrt (+ (pow x 4) (* y (- y (* x x)))))) (sqrt (sqrt (- (pow x 4) (* 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)))) (+ (* y (* y (pow NAN 3))) (* NAN (+ y (* x (* x 1/2))))) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) (+ (* y (* y (pow NAN 3))) (* NAN (+ y (* x (* x 1/2))))) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) (+ (* y (* y (pow NAN 3))) (* NAN (+ y (* x (* x 1/2))))) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) (+ (pow y 1/4) (* x (* x (* 1/4 (pow y -3/4))))) (sqrt x) (sqrt x) 0.546 * * * [progress]: adding candidates to table 0.710 * * [progress]: iteration 3 / 4 0.710 * * * [progress]: picking best candidate 0.714 * * * * [pick]: Picked # 0.714 * * * [progress]: localizing error 0.719 * * * [progress]: generating rewritten candidates 0.719 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.726 * * * [progress]: generating series expansions 0.726 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.726 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.726 * [taylor]: Taking taylor expansion of 1/2 in x 0.726 * [taylor]: Taking taylor expansion of (/ y x) in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.727 * [taylor]: Taking taylor expansion of 1/2 in y 0.727 * [taylor]: Taking taylor expansion of (/ y x) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.727 * [taylor]: Taking taylor expansion of 1/2 in y 0.727 * [taylor]: Taking taylor expansion of (/ y x) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.727 * [taylor]: Taking taylor expansion of 1/2 in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of 0 in x 0.727 * [taylor]: Taking taylor expansion of 0 in x 0.727 * [taylor]: Taking taylor expansion of 0 in x 0.728 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.728 * [taylor]: Taking taylor expansion of 1/2 in x 0.728 * [taylor]: Taking taylor expansion of (/ x y) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.728 * [taylor]: Taking taylor expansion of 1/2 in y 0.728 * [taylor]: Taking taylor expansion of (/ x y) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.728 * [taylor]: Taking taylor expansion of 1/2 in y 0.728 * [taylor]: Taking taylor expansion of (/ x y) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.728 * [taylor]: Taking taylor expansion of 1/2 in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of 0 in x 0.728 * [taylor]: Taking taylor expansion of 0 in x 0.728 * [taylor]: Taking taylor expansion of 0 in x 0.728 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.729 * [taylor]: Taking taylor expansion of 1/2 in x 0.729 * [taylor]: Taking taylor expansion of (/ x y) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.729 * [taylor]: Taking taylor expansion of 1/2 in y 0.729 * [taylor]: Taking taylor expansion of (/ x y) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.729 * [taylor]: Taking taylor expansion of 1/2 in y 0.729 * [taylor]: Taking taylor expansion of (/ x y) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.729 * [taylor]: Taking taylor expansion of 1/2 in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 0 in x 0.729 * [taylor]: Taking taylor expansion of 0 in x 0.729 * [taylor]: Taking taylor expansion of 0 in x 0.729 * * * [progress]: simplifying candidates 0.730 * [simplify]: Simplifying using # : (* y (/ 1/2 x)) (+ (log y) (- (log 1/2) (log x))) (+ (log y) (log (/ 1/2 x))) (log (* y (/ 1/2 x))) (exp (* y (/ 1/2 x))) (* (* (* y y) y) (/ (* (* 1/2 1/2) 1/2) (* (* x x) x))) (* (* (* y y) y) (* (* (/ 1/2 x) (/ 1/2 x)) (/ 1/2 x))) (* (cbrt (* y (/ 1/2 x))) (cbrt (* y (/ 1/2 x)))) (cbrt (* y (/ 1/2 x))) (* (* (* y (/ 1/2 x)) (* y (/ 1/2 x))) (* y (/ 1/2 x))) (sqrt (* y (/ 1/2 x))) (sqrt (* y (/ 1/2 x))) (* (sqrt y) (sqrt (/ 1/2 x))) (* (sqrt y) (sqrt (/ 1/2 x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* y (* (cbrt (/ 1/2 x)) (cbrt (/ 1/2 x)))) (* y (sqrt (/ 1/2 x))) (* y (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt x) (cbrt x)))) (* y (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt x))) (* y (/ (* (cbrt 1/2) (cbrt 1/2)) 1)) (* y (/ (sqrt 1/2) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt 1/2) (sqrt x))) (* y (/ (sqrt 1/2) 1)) (* y (/ 1 (* (cbrt x) (cbrt x)))) (* y (/ 1 (sqrt x))) (* y (/ 1 1)) (* y 1) (* y 1/2) (* (cbrt y) (/ 1/2 x)) (* (sqrt y) (/ 1/2 x)) (* y (/ 1/2 x)) (* y 1/2) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.777 * * [simplify]: iteration 0 : 4960 enodes (cost 229 ) 0.777 * * [simplify]: iteration 1 : 4960 enodes (cost 229 ) 0.779 * [simplify]: Simplified to: (* y (/ 1/2 x)) (log (* y (/ 1/2 x))) (log (* y (/ 1/2 x))) (log (* y (/ 1/2 x))) (sqrt (exp (/ y x))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* y (/ 1/2 x))) (cbrt (* y (/ 1/2 x)))) (cbrt (* y (/ 1/2 x))) (* 1/8 (pow (/ y x) 3)) (sqrt (* y (/ 1/2 x))) (sqrt (* y (/ 1/2 x))) (* (sqrt y) (sqrt (/ 1/2 x))) (* (sqrt y) (sqrt (/ 1/2 x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* y (* (cbrt (/ 1/2 x)) (cbrt (/ 1/2 x)))) (* y (sqrt (/ 1/2 x))) (* y (* (cbrt 1/2) (/ (cbrt 1/2) (* (cbrt x) (cbrt x))))) (* y (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt x)))) (* y (* (cbrt 1/2) (cbrt 1/2))) (* y (/ (sqrt 1/2) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt 1/2) (sqrt x))) (* y (sqrt 1/2)) (/ y (* (cbrt x) (cbrt x))) (/ y (sqrt x)) y y (* y 1/2) (* 1/2 (/ (cbrt y) x)) (* 1/2 (/ (sqrt y) x)) (* y (/ 1/2 x)) (* y 1/2) (* y (/ 1/2 x)) (* y (/ 1/2 x)) (* y (/ 1/2 x)) 0.779 * * * [progress]: adding candidates to table 0.825 * * [progress]: iteration 4 / 4 0.825 * * * [progress]: picking best candidate 0.828 * * * * [pick]: Picked # 0.828 * * * [progress]: localizing error 0.832 * * * [progress]: generating rewritten candidates 0.832 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.841 * * * [progress]: generating series expansions 0.841 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.841 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 0.841 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 0.841 * [taylor]: Taking taylor expansion of -1/2 in x 0.841 * [taylor]: Taking taylor expansion of (/ y x) in x 0.841 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.841 * [taylor]: Taking taylor expansion of -1/2 in y 0.841 * [taylor]: Taking taylor expansion of (/ y x) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.841 * [taylor]: Taking taylor expansion of -1/2 in y 0.841 * [taylor]: Taking taylor expansion of (/ y x) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.841 * [taylor]: Taking taylor expansion of -1/2 in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of 0 in x 0.842 * [taylor]: Taking taylor expansion of 0 in x 0.842 * [taylor]: Taking taylor expansion of 0 in x 0.842 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.842 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.842 * [taylor]: Taking taylor expansion of -1/2 in x 0.842 * [taylor]: Taking taylor expansion of (/ x y) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.842 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.842 * [taylor]: Taking taylor expansion of -1/2 in y 0.842 * [taylor]: Taking taylor expansion of (/ x y) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.842 * [taylor]: Taking taylor expansion of -1/2 in y 0.842 * [taylor]: Taking taylor expansion of (/ x y) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.842 * [taylor]: Taking taylor expansion of -1/2 in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of 0 in x 0.843 * [taylor]: Taking taylor expansion of 0 in x 0.843 * [taylor]: Taking taylor expansion of 0 in x 0.843 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.843 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.843 * [taylor]: Taking taylor expansion of -1/2 in x 0.843 * [taylor]: Taking taylor expansion of (/ x y) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.843 * [taylor]: Taking taylor expansion of -1/2 in y 0.843 * [taylor]: Taking taylor expansion of (/ x y) in y 0.843 * [taylor]: Taking taylor expansion of x in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.843 * [taylor]: Taking taylor expansion of -1/2 in y 0.843 * [taylor]: Taking taylor expansion of (/ x y) in y 0.843 * [taylor]: Taking taylor expansion of x in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.843 * [taylor]: Taking taylor expansion of -1/2 in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of 0 in x 0.844 * [taylor]: Taking taylor expansion of 0 in x 0.844 * [taylor]: Taking taylor expansion of 0 in x 0.844 * * * [progress]: simplifying candidates 0.844 * [simplify]: Simplifying using # : (* y (/ -1/2 x)) (+ (log y) (- (log -1/2) (log x))) (+ (log y) (log (/ -1/2 x))) (log (* y (/ -1/2 x))) (exp (* y (/ -1/2 x))) (* (* (* y y) y) (/ (* (* -1/2 -1/2) -1/2) (* (* x x) x))) (* (* (* y y) y) (* (* (/ -1/2 x) (/ -1/2 x)) (/ -1/2 x))) (* (cbrt (* y (/ -1/2 x))) (cbrt (* y (/ -1/2 x)))) (cbrt (* y (/ -1/2 x))) (* (* (* y (/ -1/2 x)) (* y (/ -1/2 x))) (* y (/ -1/2 x))) (sqrt (* y (/ -1/2 x))) (sqrt (* y (/ -1/2 x))) (* (sqrt y) (sqrt (/ -1/2 x))) (* (sqrt y) (sqrt (/ -1/2 x))) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (* y (* (cbrt (/ -1/2 x)) (cbrt (/ -1/2 x)))) (* y (sqrt (/ -1/2 x))) (* y (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt x) (cbrt x)))) (* y (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt x))) (* y (/ (* (cbrt -1/2) (cbrt -1/2)) 1)) (* y (/ (sqrt -1/2) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt -1/2) (sqrt x))) (* y (/ (sqrt -1/2) 1)) (* y (/ 1 (* (cbrt x) (cbrt x)))) (* y (/ 1 (sqrt x))) (* y (/ 1 1)) (* y 1) (* y -1/2) (* (cbrt y) (/ -1/2 x)) (* (sqrt y) (/ -1/2 x)) (* y (/ -1/2 x)) (* y -1/2) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 0.907 * * [simplify]: iteration 0 : 5360 enodes (cost 230 ) 0.909 * [simplify]: Simplified to: (* y (/ -1/2 x)) (log (* y (/ -1/2 x))) (log (* y (/ -1/2 x))) (log (* y (/ -1/2 x))) (pow (exp y) (/ -1/2 x)) (* -1/8 (pow (/ y x) 3)) (* -1/8 (pow (/ y x) 3)) (* (cbrt (* y (/ -1/2 x))) (cbrt (* y (/ -1/2 x)))) (cbrt (* y (/ -1/2 x))) (* -1/8 (pow (/ y x) 3)) (sqrt (* y (/ -1/2 x))) (sqrt (* y (/ -1/2 x))) (* (sqrt y) (sqrt (/ -1/2 x))) (* (sqrt y) (sqrt (/ -1/2 x))) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (* y (* (cbrt (/ -1/2 x)) (cbrt (/ -1/2 x)))) (* y (sqrt (/ -1/2 x))) (* y (* (cbrt -1/2) (/ (cbrt -1/2) (* (cbrt x) (cbrt x))))) (* y (* (cbrt -1/2) (/ (cbrt -1/2) (sqrt x)))) (* y (* (cbrt -1/2) (cbrt -1/2))) (* y (/ (sqrt -1/2) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt -1/2) (sqrt x))) (* y (sqrt -1/2)) (/ y (* (cbrt x) (cbrt x))) (/ y (sqrt x)) y y (* y -1/2) (* -1/2 (/ (cbrt y) x)) (* -1/2 (/ (sqrt y) x)) (* y (/ -1/2 x)) (* y -1/2) (* y (/ -1/2 x)) (* y (/ -1/2 x)) (* y (/ -1/2 x)) 0.909 * * * [progress]: adding candidates to table 0.956 * [progress]: [Phase 3 of 3] Extracting. 0.956 * * [regime]: Finding splitpoints for: (# # # #) 0.957 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.957 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.995 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.022 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.060 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 1.088 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.132 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 1.165 * * * * [regimes]: Trying to branch on y from (# # # #) 1.217 * * * * [regimes]: Trying to branch on x from (# # # #) 1.264 * * * [regime]: Found split indices: #