18.275 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.019 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (+ h0 h1)) 0.022 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.033 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.035 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.035 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.076 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.076 * [taylor]: Taking taylor expansion of (+ x y) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.076 * [taylor]: Taking taylor expansion of (+ x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.076 * [taylor]: Taking taylor expansion of (+ x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.077 * [taylor]: Taking taylor expansion of 2 in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.079 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.081 * [taylor]: Taking taylor expansion of 2 in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1 in y 0.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.086 * [taylor]: Taking taylor expansion of 2 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.089 * * * [progress]: simplifying candidates 0.090 * [simplify]: Simplifying using # : (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.090 * [simplify]: Sending expressions to egg_math: (+ 1 1) (* (+ h0 h1) (+ h0 h1)) (+ 1 1) (+ (log (+ h0 h1)) (log (+ h0 h1))) (log (* (+ h0 h1) (+ h0 h1))) (exp (* (+ h0 h1) (+ h0 h1))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (* (+ h0 h1) (+ h0 h1))) (cbrt (* (+ h0 h1) (+ h0 h1)))) (cbrt (* (+ h0 h1) (+ h0 h1))) (* (* (* (+ h0 h1) (+ h0 h1)) (* (+ h0 h1) (+ h0 h1))) (* (+ h0 h1) (+ h0 h1))) (sqrt (* (+ h0 h1) (+ h0 h1))) (sqrt (* (+ h0 h1) (+ h0 h1))) (* (+ (pow h0 3) (pow h1 3)) (+ (pow h0 3) (pow h1 3))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (+ (pow h0 3) (pow h1 3)) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (- h0 h1)) (* (- (* h0 h0) (* h1 h1)) (+ (pow h0 3) (pow h1 3))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (- h0 h1)) (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* 2 1) (* (+ h0 h1) h0) (* (+ h0 h1) h1) (* h0 (+ h0 h1)) (* h1 (+ h0 h1)) (* (+ h0 h1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (+ h0 h1) (sqrt (+ h0 h1))) (* (+ h0 h1) 1) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) (+ h0 h1)) (* (sqrt (+ h0 h1)) (+ h0 h1)) (* (+ h0 h1) (+ h0 h1)) (* (+ h0 h1) (+ h0 h1)) (* (+ h0 h1) (+ (pow h0 3) (pow h1 3))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (pow h0 3) (pow h1 3)) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) 0.093 * * [simplify]: iteration 0 : 189 enodes (cost 213 ) 0.097 * * [simplify]: iteration 1 : 901 enodes (cost 188 ) 0.121 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.123 * [simplify]: Simplified to: 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) 6) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (pow (cbrt (+ x y)) 4) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.123 * * * [progress]: adding candidates to table 0.164 * * [progress]: iteration 2 / 4 0.164 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.166 * * * [progress]: localizing error 0.174 * * * [progress]: generating rewritten candidates 0.174 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.203 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.241 * * * [progress]: generating series expansions 0.242 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.242 * [approximate]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in y 0.242 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 0.242 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (+ x y) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (- x y) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in x 0.243 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.243 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (+ x y) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (- x y) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in x 0.243 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.243 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (+ x y) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (- x y) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.248 * [taylor]: Taking taylor expansion of 2 in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of 1 in y 0.251 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in y 0.251 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in x 0.254 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.254 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in x 0.256 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of 1 in y 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.260 * [taylor]: Taking taylor expansion of 2 in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.266 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in y 0.266 * [taylor]: Taking taylor expansion of -1 in y 0.266 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in y 0.266 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in x 0.268 * [taylor]: Taking taylor expansion of -1 in x 0.268 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in x 0.271 * [taylor]: Taking taylor expansion of -1 in x 0.271 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in x 0.271 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.271 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 1 in y 0.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.276 * [taylor]: Taking taylor expansion of 2 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.281 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.281 * [approximate]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 0.281 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (+ x y) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.282 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (+ x y) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.282 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (+ x y) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (* -1 (pow y 3)) in y 0.282 * [taylor]: Taking taylor expansion of -1 in y 0.282 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of 1 in y 0.287 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.287 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of 1 in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.298 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.300 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 0.300 * [taylor]: Taking taylor expansion of -1 in y 0.300 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.301 * [taylor]: Taking taylor expansion of -1 in x 0.301 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.302 * [taylor]: Taking taylor expansion of -1 in x 0.302 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of -1 in y 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.312 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.314 * * * [progress]: simplifying candidates 0.315 * [simplify]: Simplifying using # : (- (+ (log (- (* x x) (* y y))) (log (+ x y))) (log (- x y))) (- (log (* (- (* x x) (* y y)) (+ x y))) (log (- x y))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (exp (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (/ (* (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (- x y) (- x y)) (- x y))) (/ (* (* (* (- (* x x) (* y y)) (+ x y)) (* (- (* x x) (* y y)) (+ x y))) (* (- (* x x) (* y y)) (+ x y))) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (* (* (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)) (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (- (* (- (* x x) (* y y)) (+ x y))) (- (- x y)) (/ (- (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ (- (* x x) (* y y)) (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ (- (* x x) (* y y)) 1) (/ (+ x y) (- x y)) (/ (- (* x x) (* y y)) (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ (- (* x x) (* y y)) 1) (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (* (- (* x x) (* y y)) (+ x y))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (- (* x x) (* y y)) (+ x y)) (sqrt (- x y))) (/ (* (- (* x x) (* y y)) (+ x y)) 1) (/ (* (- (* x x) (* y y)) (+ x y)) (+ (sqrt x) (sqrt y))) (/ (* (- (* x x) (* y y)) (+ x y)) 1) (/ (- x y) (+ x y)) (/ (* (- (* x x) (* y y)) (+ x y)) (- (pow x 3) (pow y 3))) (/ (* (- (* x x) (* y y)) (+ x y)) (- (* x x) (* y y))) (* (- x y) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* x x) (- (* y y) (* x y))))) (* (- x y) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- x y))) (* (- x y) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y))))) (* (- x y) (* (+ (* x x) (* y y)) (- x y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (- x y)) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- x y) (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (+ x y)) (+ (log (- (* x x) (* y y))) (log (+ x y))) (log (* (- (* x x) (* y y)) (+ x y))) (exp (* (- (* x x) (* y y)) (+ x y))) (* (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y))) (* (* (* (- (* x x) (* y y)) (+ x y)) (* (- (* x x) (* y y)) (+ x y))) (* (- (* x x) (* y y)) (+ x y))) (sqrt (* (- (* x x) (* y y)) (+ x y))) (sqrt (* (- (* x x) (* y y)) (+ x y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ (pow x 3) (pow y 3))) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* x x) (- (* y y) (* x y)))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (- (* x x) (* y y))) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (- (* x x) (* y y)) x) (* (- (* x x) (* y y)) y) (* x (- (* x x) (* y y))) (* y (- (* x x) (* y y))) (* (- (* x x) (* y y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- (* x x) (* y y)) (sqrt (+ x y))) (* (- (* x x) (* y y)) 1) (* (- (* x x) (* y y)) 1) (* (cbrt (- (* x x) (* y y))) (+ x y)) (* (sqrt (- (* x x) (* y y))) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (* (- x y) (+ x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) 0.315 * [simplify]: Sending expressions to egg_math: (- (+ (log (- (* h0 h0) (* h1 h1))) (log (+ h0 h1))) (log (- h0 h1))) (- (log (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (log (- h0 h1))) (log (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (exp (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (/ (* (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (/ (* (* (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (cbrt (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1)))) (cbrt (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (* (* (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1)) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (sqrt (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (sqrt (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (- (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (- (- h0 h1)) (/ (- (* h0 h0) (* h1 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (- (* h0 h0) (* h1 h1)) (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (- (* h0 h0) (* h1 h1)) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- (* h0 h0) (* h1 h1)) (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (- (* h0 h0) (* h1 h1)) 1) (/ (+ h0 h1) (- h0 h1)) (/ 1 (- h0 h1)) (/ (- h0 h1) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (sqrt (- h0 h1))) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) 1) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (+ (sqrt h0) (sqrt h1))) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) 1) (/ (- h0 h1) (+ h0 h1)) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- (pow h0 3) (pow h1 3))) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (* (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (- h0 h1) (* (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- h0 h1))) (* (- h0 h1) (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (- h0 h1) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h0 h1) (- h0 h1)) (* (- h0 h1) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (* (- h0 h1) (+ (* h0 h0) (* h1 h1))) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (+ (log (- (* h0 h0) (* h1 h1))) (log (+ h0 h1))) (log (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (exp (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (* (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (cbrt (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (* (* (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (sqrt (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (sqrt (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (* (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (pow h0 3) (pow h1 3))) (* (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (- (* h0 h0) (* h1 h1))) (* (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- h0 h1)) (* (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (pow h0 3) (pow h1 3))) (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)) (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1))) (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1))) (* (- (* h0 h0) (* h1 h1)) h0) (* (- (* h0 h0) (* h1 h1)) h1) (* h0 (- (* h0 h0) (* h1 h1))) (* h1 (- (* h0 h0) (* h1 h1))) (* (- (* h0 h0) (* h1 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (- (* h0 h0) (* h1 h1)) (sqrt (+ h0 h1))) (* (- (* h0 h0) (* h1 h1)) 1) (* (- (* h0 h0) (* h1 h1)) 1) (* (cbrt (- (* h0 h0) (* h1 h1))) (+ h0 h1)) (* (sqrt (- (* h0 h0) (* h1 h1))) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (* (- h0 h1) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (+ (pow h0 3) (pow h1 3))) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (* (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ h0 h1)) (* (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ h0 h1)) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (- (+ (* (pow h0 2) h1) (pow h0 3)) (* h0 (pow h1 2))) (- (* (pow h0 2) h1) (+ (* h0 (pow h1 2)) (pow h1 3))) (- (* (pow h0 2) h1) (+ (* h0 (pow h1 2)) (pow h1 3))) 0.320 * * [simplify]: iteration 0 : 423 enodes (cost 648 ) 0.329 * * [simplify]: iteration 1 : 2652 enodes (cost 575 ) 0.378 * * [simplify]: iteration 2 : 5001 enodes (cost 575 ) 0.382 * [simplify]: Simplified to: (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (exp (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (pow (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)) 3) (pow (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)) 3) (* (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (pow (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)) 3) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (- (* (- (* x x) (* y y)) (+ x y))) (- (- x y)) (/ (- (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ (- (* x x) (* y y)) (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (- (* x x) (* y y)) (/ (+ x y) (- x y)) (/ (- (* x x) (* y y)) (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (- (* x x) (* y y)) (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (* (- (* x x) (* y y)) (+ x y))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (- (* x x) (* y y)) (+ x y)) (sqrt (- x y))) (* (- (* x x) (* y y)) (+ x y)) (/ (* (- (* x x) (* y y)) (+ x y)) (+ (sqrt x) (sqrt y))) (* (- (* x x) (* y y)) (+ x y)) (/ (- x y) (+ x y)) (/ (* (- (* x x) (* y y)) (+ x y)) (- (pow x 3) (pow y 3))) (/ (* (- (* x x) (* y y)) (+ x y)) (- (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (- x y)) (+ (* (pow x 2) (+ (* x x) (* y y))) (pow y 4))) (* (* (- x y) (- x y)) (+ (* (pow x 2) (+ (* x x) (* y y))) (pow y 4))) (* (* (+ (* y (- y x)) (pow x 2)) (+ (* x x) (* y y))) (- x y)) (* (- x y) (* (+ (* x x) (* y y)) (- x y))) (* (+ (* y (- y x)) (pow x 2)) (- x y)) (* (- x y) (- x y)) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- x y) (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (+ x y)) (log (* (- (* x x) (* y y)) (+ x y))) (log (* (- (* x x) (* y y)) (+ x y))) (exp (* (- (* x x) (* y y)) (+ x y))) (pow (* (- (* x x) (* y y)) (+ x y)) 3) (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y))) (pow (* (- (* x x) (* y y)) (+ x y)) 3) (sqrt (* (- (* x x) (* y y)) (+ x y))) (sqrt (* (- (* x x) (* y y)) (+ x y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (* (pow y 2) (+ (pow y 2) (pow x 2))) (* (* x x) (* x x)))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (- (* x x) (* y y))) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (* x x) (* y y))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))) (* (- x y) (+ (* x x) (* y y))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (- (* x x) (* y y)) x) (* (- (* x x) (* y y)) y) (* (- (* x x) (* y y)) x) (* (- (* x x) (* y y)) y) (* (- (* x x) (* y y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- (* x x) (* y y)) (sqrt (+ x y))) (- (* x x) (* y y)) (- (* x x) (* y y)) (* (cbrt (- (* x x) (* y y))) (+ x y)) (* (sqrt (- (* x x) (* y y))) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (- (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ x y)) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) 0.382 * * * [progress]: adding candidates to table 0.518 * * [progress]: iteration 3 / 4 0.518 * * * [progress]: picking best candidate 0.519 * * * * [pick]: Picked # 0.519 * * * [progress]: localizing error 0.527 * * * [progress]: generating rewritten candidates 0.527 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2) 0.542 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.578 * * * [progress]: generating series expansions 0.578 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2) 0.578 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 0.578 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.578 * [taylor]: Taking taylor expansion of 2 in y 0.578 * [taylor]: Taking taylor expansion of (* x y) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.578 * [taylor]: Taking taylor expansion of 2 in x 0.578 * [taylor]: Taking taylor expansion of (* x y) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.578 * [taylor]: Taking taylor expansion of 2 in x 0.578 * [taylor]: Taking taylor expansion of (* x y) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.579 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.579 * [taylor]: Taking taylor expansion of 2 in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 0.584 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 0.584 * [taylor]: Taking taylor expansion of 2 in y 0.584 * [taylor]: Taking taylor expansion of (* x y) in y 0.584 * [taylor]: Taking taylor expansion of x in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.585 * [taylor]: Taking taylor expansion of 2 in x 0.585 * [taylor]: Taking taylor expansion of (* x y) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of y in x 0.585 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.585 * [taylor]: Taking taylor expansion of 2 in x 0.585 * [taylor]: Taking taylor expansion of (* x y) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of y in x 0.585 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.585 * [taylor]: Taking taylor expansion of 2 in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 0.590 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 0.590 * [taylor]: Taking taylor expansion of 2 in y 0.590 * [taylor]: Taking taylor expansion of (* x y) in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.590 * [taylor]: Taking taylor expansion of 2 in x 0.590 * [taylor]: Taking taylor expansion of (* x y) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.590 * [taylor]: Taking taylor expansion of 2 in x 0.590 * [taylor]: Taking taylor expansion of (* x y) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.591 * [taylor]: Taking taylor expansion of 2 in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.594 * [taylor]: Taking taylor expansion of 0 in y 0.595 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.595 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.595 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.595 * [taylor]: Taking taylor expansion of 2 in y 0.595 * [taylor]: Taking taylor expansion of (* x y) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.595 * [taylor]: Taking taylor expansion of 2 in x 0.595 * [taylor]: Taking taylor expansion of (* x y) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.595 * [taylor]: Taking taylor expansion of 2 in x 0.595 * [taylor]: Taking taylor expansion of (* x y) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.597 * [taylor]: Taking taylor expansion of 2 in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of 1 in y 0.600 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.600 * [taylor]: Taking taylor expansion of x in y 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.601 * [taylor]: Taking taylor expansion of 2 in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.601 * [taylor]: Taking taylor expansion of (* x y) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.602 * [taylor]: Taking taylor expansion of 2 in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.602 * [taylor]: Taking taylor expansion of (* x y) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.603 * [taylor]: Taking taylor expansion of 2 in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.603 * [taylor]: Taking taylor expansion of (* x y) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of 1 in y 0.604 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.604 * [taylor]: Taking taylor expansion of 2 in y 0.604 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.608 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.608 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.608 * [taylor]: Taking taylor expansion of 2 in y 0.608 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.608 * [taylor]: Taking taylor expansion of (* x y) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.609 * [taylor]: Taking taylor expansion of 2 in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.609 * [taylor]: Taking taylor expansion of (* x y) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.610 * [taylor]: Taking taylor expansion of 2 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.610 * [taylor]: Taking taylor expansion of (* x y) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of 1 in y 0.612 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.612 * [taylor]: Taking taylor expansion of 2 in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.615 * * * [progress]: simplifying candidates 0.615 * [simplify]: Simplifying using # : (* 2 (* x y)) (* 2 (* x y)) (+ (log 2) (+ (log x) (log y))) (+ (log 2) (log (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (* (* (* 2 2) 2) (* (* (* x x) x) (* (* y y) y))) (* (* (* 2 2) 2) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (* (* (* 2 (* x y)) (* 2 (* x y))) (* 2 (* x y))) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (* (exp (pow x 2)) (* (exp (pow y 2)) (exp (* 2 (* x y))))) (* (exp (pow x 2)) (exp (+ (pow y 2) (* 2 (* x y))))) (log (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (exp (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (* (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (* (* (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (+ (pow (pow x 2) 3) (pow (+ (pow y 2) (* 2 (* x y))) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y)))) (* (pow x 2) (+ (pow y 2) (* 2 (* x y)))))) (- (* (pow x 2) (pow x 2)) (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))))) (- (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (pow y 2)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.615 * [simplify]: Sending expressions to egg_math: (* 2 (* h0 h1)) (* 2 (* h0 h1)) (+ (log 2) (+ (log h0) (log h1))) (+ (log 2) (log (* h0 h1))) (log (* 2 (* h0 h1))) (exp (* 2 (* h0 h1))) (* (* (* 2 2) 2) (* (* (* h0 h0) h0) (* (* h1 h1) h1))) (* (* (* 2 2) 2) (* (* (* h0 h1) (* h0 h1)) (* h0 h1))) (* (cbrt (* 2 (* h0 h1))) (cbrt (* 2 (* h0 h1)))) (cbrt (* 2 (* h0 h1))) (* (* (* 2 (* h0 h1)) (* 2 (* h0 h1))) (* 2 (* h0 h1))) (sqrt (* 2 (* h0 h1))) (sqrt (* 2 (* h0 h1))) (* 2 h0) (* (cbrt 2) (* h0 h1)) (* (sqrt 2) (* h0 h1)) (* 2 (* h0 h1)) (* (exp (pow h0 2)) (* (exp (pow h1 2)) (exp (* 2 (* h0 h1))))) (* (exp (pow h0 2)) (exp (+ (pow h1 2) (* 2 (* h0 h1))))) (log (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1))))) (exp (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1))))) (* (cbrt (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1))))) (cbrt (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))))) (cbrt (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1))))) (* (* (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1))))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1))))) (sqrt (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1))))) (sqrt (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1))))) (+ (pow (pow h0 2) 3) (pow (+ (pow h1 2) (* 2 (* h0 h1))) 3)) (+ (* (pow h0 2) (pow h0 2)) (- (* (+ (pow h1 2) (* 2 (* h0 h1))) (+ (pow h1 2) (* 2 (* h0 h1)))) (* (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))))) (- (* (pow h0 2) (pow h0 2)) (* (+ (pow h1 2) (* 2 (* h0 h1))) (+ (pow h1 2) (* 2 (* h0 h1))))) (- (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (pow h1 2)) (* 2 (* h0 h1)) (* 2 (* h0 h1)) (* 2 (* h0 h1)) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) 0.621 * * [simplify]: iteration 0 : 181 enodes (cost 216 ) 0.625 * * [simplify]: iteration 1 : 783 enodes (cost 193 ) 0.641 * * [simplify]: iteration 2 : 4129 enodes (cost 189 ) 0.734 * * [simplify]: iteration 3 : 5001 enodes (cost 189 ) 0.735 * [simplify]: Simplified to: (* 2 (* x y)) (* 2 (* x y)) (log (* 2 (* x y))) (log (* 2 (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (pow (* 2 (* x y)) 3) (pow (* 2 (* x y)) 3) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (pow (* 2 (* x y)) 3) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (exp (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (exp (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (log (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (exp (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (* (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (pow (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (+ (pow (pow x 2) 3) (pow (+ (pow y 2) (* 2 (* x y))) 3)) (+ (* (+ (pow y 2) (* 2 (* x y))) (- (+ (pow y 2) (* 2 (* x y))) (pow x 2))) (pow x 4)) (+ (pow x 4) (- (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y)))))) (- (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (* x (+ (* 2 y) x)) (pow y 2)) (+ (pow x 2) (pow y 2)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) (+ (* x (+ (* 2 y) x)) (pow y 2)) (+ (* x (+ (* 2 y) x)) (pow y 2)) (+ (* x (+ (* 2 y) x)) (pow y 2)) 0.736 * * * [progress]: adding candidates to table 0.801 * [progress]: [Phase 3 of 3] Extracting. 0.801 * * [regime]: Finding splitpoints for: (# #) 0.801 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 0.801 * * * * [regimes]: Trying to branch on (+ x y) from (# #) 0.812 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# #) 0.825 * * * * [regimes]: Trying to branch on y from (# #) 0.836 * * * * [regimes]: Trying to branch on x from (# #) 0.848 * * * [regime]: Found split indices: #