44.736 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.082 * [progress]: [Phase 2 of 3] Improving. 0.082 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.084 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.085 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.085 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.085 * * [progress]: iteration 1 / 4 0.085 * * * [progress]: picking best candidate 0.088 * * * * [pick]: Picked # 0.088 * * * [progress]: localizing error 0.092 * * * [progress]: generating rewritten candidates 0.092 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.096 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.100 * * * [progress]: generating series expansions 0.100 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.100 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.100 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.100 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.101 * [taylor]: Taking taylor expansion of 1/2 in y 0.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.102 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.103 * [taylor]: Taking taylor expansion of 1/2 in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of -1/8 in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.104 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of 1 in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.105 * [taylor]: Taking taylor expansion of -1/2 in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.105 * [taylor]: Taking taylor expansion of -1/8 in y 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.106 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.106 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in x 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 1 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.106 * [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 (+ (/ 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 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of 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 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 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 (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 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of 1 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.110 * * * [progress]: simplifying candidates 0.110 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (* (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) 0.113 * * [simplify]: iteration 0 : 139 enodes (cost 151 ) 0.116 * * [simplify]: iteration 1 : 485 enodes (cost 141 ) 0.123 * * [simplify]: iteration 2 : 1555 enodes (cost 139 ) 0.155 * * [simplify]: iteration 3 : 5002 enodes (cost 138 ) 0.157 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (* x x) y) (* NAN (+ (* (* NAN NAN) (pow y 2)) (+ (* 1/2 (pow x 2)) y))) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.157 * * * [progress]: adding candidates to table 0.197 * * [progress]: iteration 2 / 4 0.197 * * * [progress]: picking best candidate 0.204 * * * * [pick]: Picked # 0.204 * * * [progress]: localizing error 0.208 * * * [progress]: generating rewritten candidates 0.208 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.216 * * * [progress]: generating series expansions 0.216 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.216 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 0.216 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 0.216 * [taylor]: Taking taylor expansion of -1/2 in x 0.216 * [taylor]: Taking taylor expansion of (/ y x) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.216 * [taylor]: Taking taylor expansion of -1/2 in y 0.216 * [taylor]: Taking taylor expansion of (/ y x) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.216 * [taylor]: Taking taylor expansion of -1/2 in y 0.216 * [taylor]: Taking taylor expansion of (/ y x) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.216 * [taylor]: Taking taylor expansion of -1/2 in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of 0 in x 0.217 * [taylor]: Taking taylor expansion of 0 in x 0.217 * [taylor]: Taking taylor expansion of 0 in x 0.217 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.217 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.217 * [taylor]: Taking taylor expansion of -1/2 in x 0.217 * [taylor]: Taking taylor expansion of (/ x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.217 * [taylor]: Taking taylor expansion of -1/2 in y 0.217 * [taylor]: Taking taylor expansion of (/ x y) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.217 * [taylor]: Taking taylor expansion of -1/2 in y 0.217 * [taylor]: Taking taylor expansion of (/ x y) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.217 * [taylor]: Taking taylor expansion of -1/2 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of 0 in x 0.218 * [taylor]: Taking taylor expansion of 0 in x 0.218 * [taylor]: Taking taylor expansion of 0 in x 0.218 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.218 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.218 * [taylor]: Taking taylor expansion of -1/2 in x 0.218 * [taylor]: Taking taylor expansion of (/ x y) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.218 * [taylor]: Taking taylor expansion of -1/2 in y 0.218 * [taylor]: Taking taylor expansion of (/ x y) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.218 * [taylor]: Taking taylor expansion of -1/2 in y 0.218 * [taylor]: Taking taylor expansion of (/ x y) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.218 * [taylor]: Taking taylor expansion of -1/2 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of 0 in x 0.219 * [taylor]: Taking taylor expansion of 0 in x 0.219 * [taylor]: Taking taylor expansion of 0 in x 0.219 * * * [progress]: simplifying candidates 0.219 * [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)) 0.222 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.226 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.239 * * [simplify]: iteration 2 : 2950 enodes (cost 118 ) 0.278 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 0.279 * [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)) 0.280 * * * [progress]: adding candidates to table 0.311 * * [progress]: iteration 3 / 4 0.311 * * * [progress]: picking best candidate 0.316 * * * * [pick]: Picked # 0.316 * * * [progress]: localizing error 0.320 * * * [progress]: generating rewritten candidates 0.320 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.328 * * * [progress]: generating series expansions 0.328 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.328 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.328 * [taylor]: Taking taylor expansion of 1/2 in x 0.328 * [taylor]: Taking taylor expansion of (/ y x) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.328 * [taylor]: Taking taylor expansion of 1/2 in y 0.328 * [taylor]: Taking taylor expansion of (/ y x) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.329 * [taylor]: Taking taylor expansion of 1/2 in y 0.329 * [taylor]: Taking taylor expansion of (/ y x) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.329 * [taylor]: Taking taylor expansion of 1/2 in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of 0 in x 0.329 * [taylor]: Taking taylor expansion of 0 in x 0.329 * [taylor]: Taking taylor expansion of 0 in x 0.329 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.329 * [taylor]: Taking taylor expansion of 1/2 in x 0.329 * [taylor]: Taking taylor expansion of (/ x y) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.330 * [taylor]: Taking taylor expansion of 1/2 in y 0.330 * [taylor]: Taking taylor expansion of (/ x y) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.330 * [taylor]: Taking taylor expansion of 1/2 in y 0.330 * [taylor]: Taking taylor expansion of (/ x y) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.330 * [taylor]: Taking taylor expansion of 1/2 in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.330 * [taylor]: Taking taylor expansion of 1/2 in x 0.330 * [taylor]: Taking taylor expansion of (/ x y) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.330 * [taylor]: Taking taylor expansion of 1/2 in y 0.331 * [taylor]: Taking taylor expansion of (/ x y) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.331 * [taylor]: Taking taylor expansion of 1/2 in y 0.331 * [taylor]: Taking taylor expansion of (/ x y) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.331 * [taylor]: Taking taylor expansion of 1/2 in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.331 * * * [progress]: simplifying candidates 0.332 * [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)) 0.335 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.338 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.351 * * [simplify]: iteration 2 : 2952 enodes (cost 118 ) 0.390 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 0.391 * [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)) 0.392 * * * [progress]: adding candidates to table 0.423 * * [progress]: iteration 4 / 4 0.423 * * * [progress]: picking best candidate 0.426 * * * * [pick]: Picked # 0.426 * * * [progress]: localizing error 0.436 * * * [progress]: generating rewritten candidates 0.436 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.452 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.457 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.466 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.479 * * * [progress]: generating series expansions 0.479 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.479 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in (x y) around 0 0.479 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in y 0.479 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.479 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 0.480 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.480 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 0.481 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.481 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.482 * [taylor]: Taking taylor expansion of 1/2 in y 0.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 0.482 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.482 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.483 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.483 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.484 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.484 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of 1 in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.485 * [taylor]: Taking taylor expansion of 1/2 in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.486 * [taylor]: Taking taylor expansion of -1/8 in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 0.486 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.486 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.487 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.487 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.487 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.487 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.488 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.488 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of 1 in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.489 * [taylor]: Taking taylor expansion of -1/2 in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of -1/8 in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.490 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in y 0.490 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in x 0.491 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in x 0.491 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (sqrt (neg y)) in y 0.491 * [taylor]: Taking taylor expansion of (neg y) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (neg y))) in y 0.491 * [taylor]: Taking taylor expansion of 1/2 in y 0.491 * [taylor]: Taking taylor expansion of (sqrt (neg y)) in y 0.491 * [taylor]: Taking taylor expansion of (neg y) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.492 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.492 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.493 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.493 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of 1 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.493 * [taylor]: Taking taylor expansion of -1/2 in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of -1/8 in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of 1 in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.495 * [taylor]: Taking taylor expansion of 1/2 in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of -1/8 in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.496 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in (x y) around 0 0.496 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in y 0.496 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (neg (pow y 2))) in y 0.498 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in (x y) around 0 0.498 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in y 0.498 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.498 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 0.499 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 0.501 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of 1 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 0.503 * [taylor]: Taking taylor expansion of -1/2 in y 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in (x y) around 0 0.503 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in y 0.503 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.503 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of 1 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 0.505 * [taylor]: Taking taylor expansion of -1/2 in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.505 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.506 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 0.506 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [taylor]: Taking taylor expansion of 1 in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.507 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of 1 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.509 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.509 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.509 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.509 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.510 * [taylor]: Taking taylor expansion of y in x 0.510 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.510 * [taylor]: Taking taylor expansion of y in x 0.510 * [taylor]: Taking taylor expansion of 1 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.512 * * * [progress]: simplifying candidates 0.514 * [simplify]: Simplifying using # : (- (log (sqrt (- (* (* x x) (* x x)) (* y y)))) (log (sqrt (- (* x x) y)))) (log (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (exp (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (/ (* (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y)))) (* (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (* (* (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (/ (- (* (* x x) (* x x)) (* y y)) (- (* x x) y)) (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (neg (sqrt (- (* (* x x) (* x x)) (* y y)))) (neg (sqrt (- (* x x) y))) (/ (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* x x) y)))) (/ (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (cbrt (- (* x x) y)))) (/ (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (sqrt (- (* x x) y)))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (sqrt 1)) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (+ x (sqrt y)))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- x (sqrt y)))) (/ (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (sqrt (- (* x x) y)))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) 1) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (sqrt (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* x x) y)))) (/ (sqrt (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (cbrt (- (* x x) y)))) (/ (sqrt (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt 1)) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (sqrt (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (+ x (sqrt y)))) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- x (sqrt y)))) (/ (sqrt (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) 1) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (cbrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt 1)) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (+ x (sqrt y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- x (sqrt y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) 1) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (sqrt 1) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (cbrt (sqrt (- (* x x) y)))) (/ (sqrt 1) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (cbrt (- (* x x) y)))) (/ (sqrt 1) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) (/ (sqrt 1) (sqrt (+ x (sqrt y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- x (sqrt y)))) (/ (sqrt 1) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt 1) 1) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) (/ (sqrt (+ (* x x) y)) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (- (* x x) y)) (cbrt (sqrt (- (* x x) y)))) (/ (sqrt (+ (* x x) y)) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (/ (sqrt (- (* x x) y)) (sqrt (cbrt (- (* x x) y)))) (/ (sqrt (+ (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (+ (* x x) y)) (sqrt 1)) (/ (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (/ (sqrt (+ (* x x) y)) (sqrt (+ x (sqrt y)))) (/ (sqrt (- (* x x) y)) (sqrt (- x (sqrt y)))) (/ (sqrt (+ (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (+ (* x x) y)) 1) (/ (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (cbrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt 1)) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (+ x (sqrt y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- x (sqrt y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) 1) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ 1 (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (cbrt (sqrt (- (* x x) y)))) (/ 1 (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (cbrt (- (* x x) y)))) (/ 1 (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) (/ 1 (sqrt 1)) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) (/ 1 (sqrt (+ x (sqrt y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- x (sqrt y)))) (/ 1 (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) (/ 1 1) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (sqrt (- (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt 1)) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ x (sqrt y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) 1) (/ (sqrt (- (* x x) y)) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (/ (sqrt (- (* x x) y)) (sqrt (cbrt (- (* (* x x) (* x x)) (* y y))))) (/ (sqrt (- (* x x) y)) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (/ (sqrt (- (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (/ (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (/ (sqrt (- (* x x) y)) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (/ (sqrt (- (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (pow (* x x) 3) (pow y 3)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (- (* x x) y)) (sqrt (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* (* y y) (* y y)) (* (* (* x x) (* x x)) (* y y)))))) (* (sqrt (- (* x x) y)) (sqrt (+ (* (* x x) (* x x)) (* y 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 (+ x (sqrt y))) (sqrt (- x (sqrt 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) (* x x)) (* y y)))) (exp (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt 1) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (pow (* (* x x) (* x x)) 3) (pow (* y y) 3))) (sqrt (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* (* y y) (* y y)) (* (* (* x x) (* x x)) (* y y))))) (sqrt (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* y y) (* y y)))) (sqrt (+ (* (* x x) (* x x)) (* y y))) (/ 1 2) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (/ (exp (* (* x x) (* x x))) (exp (* y y))) (log (- (* (* x x) (* x x)) (* y y))) (exp (- (* (* x x) (* x x)) (* y y))) (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* y y))) (* (* (- (* (* x x) (* x x)) (* y y)) (- (* (* x x) (* x x)) (* y y))) (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y))) (- (pow (* (* x x) (* x x)) 3) (pow (* y y) 3)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* (* y y) (* y y)) (* (* (* x x) (* x x)) (* y y)))) (neg (* y y)) (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* y y) (* y y))) (+ (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (- (* x x) y) (neg (* y 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))) (- (* 1/2 (/ y x)) x) (* y (sqrt (neg 1))) (pow x 2) (pow x 2) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) 0.522 * * [simplify]: iteration 0 : 348 enodes (cost 1804 ) 0.528 * * [simplify]: iteration 1 : 1348 enodes (cost 1685 ) 0.554 * * [simplify]: iteration 2 : 5001 enodes (cost 1649 ) 0.562 * [simplify]: Simplified to: (log (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (log (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (exp (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (pow (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) 3) (* (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (pow (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) 3) (/ (+ (* x x) y) 1) (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (neg (sqrt (- (* (* x x) (* x x)) (* y y)))) (neg (sqrt (- (* x x) y))) (/ (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* x x) y)))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (/ (fabs (cbrt (- (* x x) y))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (cbrt (- (* x x) y)))) (/ (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (sqrt (- (* x x) y)))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (+ x (sqrt y)))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- x (sqrt y)))) (/ (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (sqrt (- (* x x) y)))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (/ (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (/ (fabs (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* x x) y)))) (cbrt (sqrt (- (* x x) y)))) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* x x) y)))) (/ (fabs (cbrt (- (* (* x x) (* x x)) (* y y)))) (* (fabs (cbrt (- (* x x) y))) 1)) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (cbrt (- (* x x) y)))) (/ (fabs (cbrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (sqrt (- (* x x) y))) 1)) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (fabs (cbrt (- (* (* x x) (* x x)) (* y y)))) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (fabs (cbrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ x (sqrt y))) 1)) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- x (sqrt y)))) (/ (fabs (cbrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (sqrt (- (* x x) y))) 1)) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (fabs (cbrt (- (* (* x x) (* x x)) (* y y)))) (/ (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (fabs (cbrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (cbrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (+ x (sqrt y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- x (sqrt y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ 1 (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (cbrt (sqrt (- (* x x) y)))) (/ 1 (fabs (cbrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (cbrt (- (* x x) y)))) (/ 1 (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) 1 (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) (/ 1 (sqrt (+ x (sqrt y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- x (sqrt y)))) (/ 1 (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) 1 (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) (/ (sqrt (+ (* x x) y)) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (- (* x x) y)) (cbrt (sqrt (- (* x x) y)))) (/ (sqrt (+ (* x x) y)) (fabs (cbrt (- (* x x) y)))) (/ (sqrt (- (* x x) y)) (sqrt (cbrt (- (* x x) y)))) (/ (sqrt (+ (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (sqrt (+ (* x x) y)) 1 (/ (sqrt (+ (* x x) y)) (sqrt (+ x (sqrt y)))) (/ (sqrt (- (* x x) y)) (sqrt (- x (sqrt y)))) (/ (sqrt (+ (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (sqrt (+ (* x x) y)) 1 (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (fabs (cbrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (cbrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (+ x (sqrt y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- x (sqrt y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (/ (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* x x) y))) (/ 1 (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (cbrt (sqrt (- (* x x) y)))) (/ 1 (fabs (cbrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (cbrt (- (* x x) y)))) (/ 1 (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) 1 (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) (/ 1 (sqrt (+ x (sqrt y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- x (sqrt y)))) (/ 1 (sqrt (sqrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) 1 (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (sqrt (- (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (fabs (cbrt (- (* x x) y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ x (sqrt y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (sqrt (- (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (/ (sqrt (- (* x x) y)) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (/ (sqrt (- (* x x) y)) (sqrt (cbrt (- (* (* x x) (* x x)) (* y y))))) (/ (sqrt (- (* x x) y)) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (/ (sqrt (- (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) 1 (/ (sqrt (- (* x x) y)) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (/ (sqrt (- (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (pow (* x x) 3) (pow y 3)))) 1 (* (sqrt (- (* x x) y)) (sqrt (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* (* y y) (* y y)) (* (* (* x x) (* x x)) (* y y)))))) (* (sqrt (- (* x x) y)) (sqrt (+ (* (* x x) (* x x)) (* y 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 (+ x (sqrt y))) (sqrt (- x (sqrt 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) (* x x)) (* y y)))) (exp (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (cbrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (pow (sqrt (- (* (* x x) (* x x)) (* y y))) 3) (fabs (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (cbrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) 1 (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (pow (* (* x x) (* x x)) 3) (pow (* y y) 3))) (sqrt (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* (* y y) (* y y)) (* (* (* x x) (* x x)) (* y y))))) (sqrt (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* y y) (* y y)))) (sqrt (+ (* (* x x) (* x x)) (* y y))) 1/2 (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (exp (- (pow x 4) (pow y 2))) (log (- (pow x 4) (pow y 2))) (exp (- (pow x 4) (pow y 2))) (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* y y))) (pow (- (pow x 4) (pow y 2)) 3) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y))) (+ (neg (pow (* y y) 3)) (pow (pow x 2) 6)) (+ (+ (pow x 8) (* (pow x 4) (pow y 2))) (pow y 4)) (neg (* y y)) (+ (* (neg (pow y 3)) y) (pow x 8)) (+ (pow x 4) (pow y 2)) (+ (* x x) y) (- (* x x) y) (neg (* y 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 (- y (* 1/2 (pow x 2)))) (* (pow NAN 3) (pow y 2))) (- x (* 1/2 (/ y x))) (- (* 1/2 (/ y x)) x) (* y (sqrt -1)) (pow x 2) (pow x 2) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) 0.563 * * * [progress]: adding candidates to table 0.671 * [progress]: [Phase 3 of 3] Extracting. 0.671 * * [regime]: Finding splitpoints for: (# # # #) 0.671 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.671 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.708 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.738 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 0.779 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 0.824 * * * * [regimes]: Trying to branch on y from (# # # #) 0.879 * * * * [regimes]: Trying to branch on x from (# # # #) 0.925 * * * [regime]: Found split indices: #