19.654 * [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: (* (+ x y) (+ x y)) 0.019 * [simplify]: Sending expressions to egg_math: (* (+ h1 h0) (+ h1 h0)) 0.021 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.031 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.033 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.078 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.078 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.078 * [taylor]: Taking taylor expansion of (+ x y) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [backup-simplify]: Simplify x into x 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (+ x 0) into x 0.078 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.078 * [taylor]: Taking taylor expansion of (+ x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (+ 0 y) into y 0.078 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.078 * [taylor]: Taking taylor expansion of (+ x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (+ 0 y) into y 0.078 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (+ 1 0) into 1 0.079 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.079 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.079 * [taylor]: Taking taylor expansion of 2 in y 0.079 * [backup-simplify]: Simplify 2 into 2 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* 2 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.080 * [backup-simplify]: Simplify 2 into 2 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.081 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.081 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [backup-simplify]: Simplify x into x 0.081 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.082 * [backup-simplify]: Simplify (+ 1 0) into 1 0.082 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [backup-simplify]: Simplify y into y 0.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify (+ 0 1) into 1 0.082 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [backup-simplify]: Simplify y into y 0.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (+ 0 1) into 1 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.084 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.084 * [taylor]: Taking taylor expansion of 2 in y 0.084 * [backup-simplify]: Simplify 2 into 2 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 2 1) into 2 0.086 * [backup-simplify]: Simplify 2 into 2 0.086 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.087 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.087 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [backup-simplify]: Simplify x into x 0.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [backup-simplify]: Simplify (+ 0 1) into 1 0.088 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [backup-simplify]: Simplify (+ 0 1) into 1 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.090 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.090 * [taylor]: Taking taylor expansion of 2 in y 0.090 * [backup-simplify]: Simplify 2 into 2 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 2 1) into 2 0.092 * [backup-simplify]: Simplify 2 into 2 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.093 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying: (+ 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)))) 0.093 * [simplify]: Sending expressions to egg_math: (+ 1 1) (* (+ h1 h0) (+ h1 h0)) (+ 1 1) (+ (log (+ h1 h0)) (log (+ h1 h0))) (log (* (+ h1 h0) (+ h1 h0))) (exp (* (+ h1 h0) (+ h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* (+ h1 h0) (+ h1 h0))) (cbrt (* (+ h1 h0) (+ h1 h0)))) (cbrt (* (+ h1 h0) (+ h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0))) (* (+ h1 h0) (+ h1 h0))) (sqrt (* (+ h1 h0) (+ h1 h0))) (sqrt (* (+ h1 h0) (+ h1 h0))) (* (+ (pow h1 3) (pow h0 3)) (+ (pow h1 3) (pow h0 3))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (- h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ (pow h1 3) (pow h0 3))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)) (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* 2 1) (* (+ h1 h0) h1) (* (+ h1 h0) h0) (* h1 (+ h1 h0)) (* h0 (+ h1 h0)) (* (+ h1 h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (+ h1 h0) (sqrt (+ h1 h0))) (* (+ h1 h0) 1) (* (+ h1 h0) 1) (* (cbrt (+ h1 h0)) (+ h1 h0)) (* (sqrt (+ h1 h0)) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ (pow h1 3) (pow h0 3))) (* (+ h1 h0) (- (* h1 h1) (* h0 h0))) (* (+ (pow h1 3) (pow h0 3)) (+ h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ h1 h0)) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) 0.097 * * [simplify]: iteration 0 : 189 enodes (cost 213 ) 0.101 * * [simplify]: iteration 1 : 901 enodes (cost 188 ) 0.124 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.125 * * * [progress]: adding candidates to table 0.169 * * [progress]: iteration 2 / 4 0.169 * * * [progress]: picking best candidate 0.172 * * * * [pick]: Picked # 0.172 * * * [progress]: localizing error 0.178 * * * [progress]: generating rewritten candidates 0.178 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.197 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.215 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.238 * [backup-simplify]: Simplify (* x (+ x y)) into (* x (+ x y)) 0.238 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [backup-simplify]: Simplify x into x 0.238 * [taylor]: Taking taylor expansion of (+ x y) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [backup-simplify]: Simplify x into x 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of (+ x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [backup-simplify]: Simplify y into y 0.238 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of (+ x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [backup-simplify]: Simplify y into y 0.238 * [backup-simplify]: Simplify (+ 0 y) into y 0.238 * [backup-simplify]: Simplify (* 0 y) into 0 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (+ 1 0) into 1 0.239 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 0.240 * [taylor]: Taking taylor expansion of 1 in y 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 0.242 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.243 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [backup-simplify]: Simplify x into x 0.243 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [backup-simplify]: Simplify x into x 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.243 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (+ 0 1) into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [backup-simplify]: Simplify y into y 0.244 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (+ 0 1) into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of 1 in y 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.246 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 0.254 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.254 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [backup-simplify]: Simplify x into x 0.254 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [backup-simplify]: Simplify x into x 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.254 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) 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 * [backup-simplify]: Simplify y into y 0.254 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (+ 0 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [backup-simplify]: Simplify y into y 0.255 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (+ 0 1) into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of 1 in y 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.257 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 0.264 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.265 * [backup-simplify]: Simplify (+ (* x (+ x y)) (* y (+ x y))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.265 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [backup-simplify]: Simplify x into x 0.265 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.265 * [taylor]: Taking taylor expansion of 2 in y 0.265 * [backup-simplify]: Simplify 2 into 2 0.265 * [taylor]: Taking taylor expansion of (* x y) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [backup-simplify]: Simplify x into x 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [backup-simplify]: Simplify y into y 0.265 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.265 * [taylor]: Taking taylor expansion of 2 in x 0.265 * [backup-simplify]: Simplify 2 into 2 0.265 * [taylor]: Taking taylor expansion of (* x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [backup-simplify]: Simplify y into y 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [backup-simplify]: Simplify y into y 0.265 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.265 * [taylor]: Taking taylor expansion of 2 in x 0.265 * [backup-simplify]: Simplify 2 into 2 0.265 * [taylor]: Taking taylor expansion of (* x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [backup-simplify]: Simplify y into y 0.266 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.266 * [backup-simplify]: Simplify (* 0 y) into 0 0.266 * [backup-simplify]: Simplify (* 2 0) into 0 0.266 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.266 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.266 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.267 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 0.267 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.267 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.267 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.267 * [taylor]: Taking taylor expansion of 2 in y 0.267 * [backup-simplify]: Simplify 2 into 2 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (* 2 0) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (+ 1 0) into 1 0.269 * [taylor]: Taking taylor expansion of 1 in y 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.269 * [backup-simplify]: Simplify 2 into 2 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.270 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) (* (/ 1 y) (+ (/ 1 x) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.270 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [backup-simplify]: Simplify x into x 0.270 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.270 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.271 * [taylor]: Taking taylor expansion of 2 in y 0.271 * [backup-simplify]: Simplify 2 into 2 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.271 * [taylor]: Taking taylor expansion of (* x y) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [backup-simplify]: Simplify x into x 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* x 0) into 0 0.271 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.271 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 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 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [backup-simplify]: Simplify y into y 0.272 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.272 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.272 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.272 * [taylor]: Taking taylor expansion of 2 in x 0.272 * [backup-simplify]: Simplify 2 into 2 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.272 * [taylor]: Taking taylor expansion of (* x y) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [backup-simplify]: Simplify y into y 0.272 * [backup-simplify]: Simplify (* 0 y) into 0 0.273 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.273 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [backup-simplify]: Simplify y into y 0.273 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.273 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.273 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.273 * [taylor]: Taking taylor expansion of 2 in x 0.273 * [backup-simplify]: Simplify 2 into 2 0.273 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.273 * [taylor]: Taking taylor expansion of (* x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [backup-simplify]: Simplify y into y 0.274 * [backup-simplify]: Simplify (* 0 y) into 0 0.274 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.274 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.274 * [backup-simplify]: Simplify (+ 1 0) into 1 0.274 * [taylor]: Taking taylor expansion of 1 in y 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.275 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.275 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.275 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.275 * [taylor]: Taking taylor expansion of 2 in y 0.275 * [backup-simplify]: Simplify 2 into 2 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.277 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.277 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 2 1) into 2 0.278 * [backup-simplify]: Simplify 2 into 2 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.279 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.279 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [backup-simplify]: Simplify x into x 0.279 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.279 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.280 * [taylor]: Taking taylor expansion of 2 in y 0.280 * [backup-simplify]: Simplify 2 into 2 0.280 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.280 * [taylor]: Taking taylor expansion of (* x y) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [backup-simplify]: Simplify x into x 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (* x 0) into 0 0.284 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.284 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [backup-simplify]: Simplify y into y 0.285 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.285 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.285 * [taylor]: Taking taylor expansion of 2 in x 0.285 * [backup-simplify]: Simplify 2 into 2 0.285 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.285 * [taylor]: Taking taylor expansion of (* x y) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [backup-simplify]: Simplify y into y 0.285 * [backup-simplify]: Simplify (* 0 y) into 0 0.286 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.286 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [backup-simplify]: Simplify y into y 0.286 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.286 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.286 * [taylor]: Taking taylor expansion of 2 in x 0.287 * [backup-simplify]: Simplify 2 into 2 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.287 * [taylor]: Taking taylor expansion of (* x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [backup-simplify]: Simplify (* 0 y) into 0 0.287 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.287 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.287 * [backup-simplify]: Simplify (+ 1 0) into 1 0.287 * [taylor]: Taking taylor expansion of 1 in y 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.288 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.288 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.288 * [taylor]: Taking taylor expansion of 2 in y 0.288 * [backup-simplify]: Simplify 2 into 2 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.290 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.290 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 2 1) into 2 0.291 * [backup-simplify]: Simplify 2 into 2 0.291 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.292 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.292 * [backup-simplify]: Simplify (* y (+ x y)) into (* y (+ x y)) 0.292 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.292 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [backup-simplify]: Simplify y into y 0.292 * [taylor]: Taking taylor expansion of (+ x y) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [backup-simplify]: Simplify y into y 0.292 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (+ x y) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [backup-simplify]: Simplify x into x 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (+ x y) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [backup-simplify]: Simplify x into x 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (+ x 0) into x 0.292 * [backup-simplify]: Simplify (* 0 x) into 0 0.292 * [taylor]: Taking taylor expansion of 0 in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (+ 0 1) into 1 0.293 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 x)) into x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 x))) into 1 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 x)))) into 0 0.295 * [taylor]: Taking taylor expansion of 0 in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 x))))) into 0 0.296 * [taylor]: Taking taylor expansion of 0 in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* x y)) 0.296 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 0.296 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.296 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [backup-simplify]: Simplify y into y 0.296 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [backup-simplify]: Simplify y into y 0.297 * [backup-simplify]: Simplify (+ 0 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.297 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [backup-simplify]: Simplify x into x 0.297 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (+ 1 0) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [backup-simplify]: Simplify x into x 0.298 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (+ 1 0) into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of 1 in x 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.300 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.302 * [taylor]: Taking taylor expansion of 0 in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [taylor]: Taking taylor expansion of 0 in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* x y)) 0.308 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) y) 0.308 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.308 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.308 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.308 * [backup-simplify]: Simplify (+ 0 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.309 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [backup-simplify]: Simplify x into x 0.309 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (+ 1 0) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [backup-simplify]: Simplify x into x 0.310 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (+ 1 0) into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of 1 in x 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.311 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.313 * [taylor]: Taking taylor expansion of 0 in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [taylor]: Taking taylor expansion of 0 in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [taylor]: Taking taylor expansion of 0 in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* x y)) 0.319 * * * [progress]: simplifying candidates 0.320 * [simplify]: Simplifying: (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ 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))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* 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)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* x y)) (+ (* x y) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 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)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 0.320 * [simplify]: Sending expressions to egg_math: (* h1 (+ h1 h0)) (+ (log h1) (log (+ h1 h0))) (log (* h1 (+ h1 h0))) (exp (* h1 (+ h1 h0))) (* (* (* h1 h1) h1) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h1 (+ h1 h0))) (cbrt (* h1 (+ h1 h0)))) (cbrt (* h1 (+ h1 h0))) (* (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (* h1 (+ h1 h0))) (sqrt (* h1 (+ h1 h0))) (sqrt (* h1 (+ h1 h0))) (* (sqrt h1) (sqrt (+ h1 h0))) (* (sqrt h1) (sqrt (+ h1 h0))) (* h1 h1) (* h1 h0) (* h1 h1) (* h0 h1) (* h1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h1 (sqrt (+ h1 h0))) (* h1 1) (* h1 1) (* (cbrt h1) (+ h1 h0)) (* (sqrt h1) (+ h1 h0)) (* h1 (+ h1 h0)) (* h1 (+ (pow h1 3) (pow h0 3))) (* h1 (- (* h1 h1) (* h0 h0))) (* (exp (* h1 (+ h1 h0))) (exp (* h0 (+ h1 h0)))) (log (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (exp (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (* (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0))))) (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (* (* (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0))) (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (sqrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (sqrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (+ (* (* h1 (+ (pow h1 3) (pow h0 3))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (* h0 (+ (pow h1 3) (pow h0 3))))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (+ (* (* h1 (+ (pow h1 3) (pow h0 3))) (- h1 h0)) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (* h0 (- (* h1 h1) (* h0 h0))))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (- h1 h0)) (+ (* (* h1 (- (* h1 h1) (* h0 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (* h0 (+ (pow h1 3) (pow h0 3))))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (+ (* (* h1 (- (* h1 h1) (* h0 h0))) (- h1 h0)) (* (- h1 h0) (* h0 (- (* h1 h1) (* h0 h0))))) (* (- h1 h0) (- h1 h0)) (+ (pow (* h1 (+ h1 h0)) 3) (pow (* h0 (+ h1 h0)) 3)) (+ (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (- (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* (* h1 (+ h1 h0)) (* h0 (+ h1 h0))))) (- (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0)))) (- (* h1 (+ h1 h0)) (* h0 (+ h1 h0))) (+ h1 h0) (+ (* h1 (+ h1 h0)) (* h0 h1)) (+ (* h1 (+ h1 h0)) (* h1 h0)) (+ (* h1 h0) (* h0 (+ h1 h0))) (+ (* h0 h1) (* h0 (+ h1 h0))) (* h0 (+ h1 h0)) (+ (log h0) (log (+ h1 h0))) (log (* h0 (+ h1 h0))) (exp (* h0 (+ h1 h0))) (* (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h0 (+ h1 h0))) (cbrt (* h0 (+ h1 h0)))) (cbrt (* h0 (+ h1 h0))) (* (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* h0 h1) (* h0 h0) (* h1 h0) (* h0 h0) (* h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h0 (sqrt (+ h1 h0))) (* h0 1) (* h0 1) (* (cbrt h0) (+ h1 h0)) (* (sqrt h0) (+ h1 h0)) (* h0 (+ h1 h0)) (* h0 (+ (pow h1 3) (pow h0 3))) (* h0 (- (* h1 h1) (* h0 h0))) (+ (pow h1 2) (* h1 h0)) (+ (pow h1 2) (* h1 h0)) (+ (pow h1 2) (* h1 h0)) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) 0.324 * * [simplify]: iteration 0 : 349 enodes (cost 386 ) 0.332 * * [simplify]: iteration 1 : 1961 enodes (cost 333 ) 0.374 * * [simplify]: iteration 2 : 5001 enodes (cost 331 ) 0.376 * * * [progress]: adding candidates to table 0.701 * * [progress]: iteration 3 / 4 0.701 * * * [progress]: picking best candidate 0.704 * * * * [pick]: Picked # 0.704 * * * [progress]: localizing error 0.715 * * * [progress]: generating rewritten candidates 0.715 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.752 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.768 * * * [progress]: generating series expansions 0.768 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.769 * [backup-simplify]: Simplify (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.769 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.769 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.770 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.770 * [taylor]: Taking taylor expansion of x in y 0.770 * [backup-simplify]: Simplify x into x 0.770 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.770 * [taylor]: Taking taylor expansion of 2 in y 0.770 * [backup-simplify]: Simplify 2 into 2 0.770 * [taylor]: Taking taylor expansion of (* x y) in y 0.770 * [taylor]: Taking taylor expansion of x in y 0.770 * [backup-simplify]: Simplify x into x 0.770 * [taylor]: Taking taylor expansion of y in y 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.770 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.770 * [taylor]: Taking taylor expansion of y in x 0.770 * [backup-simplify]: Simplify y into y 0.770 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.770 * [taylor]: Taking taylor expansion of 2 in x 0.770 * [backup-simplify]: Simplify 2 into 2 0.770 * [taylor]: Taking taylor expansion of (* x y) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.771 * [taylor]: Taking taylor expansion of y in x 0.771 * [backup-simplify]: Simplify y into y 0.771 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.771 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.771 * [taylor]: Taking taylor expansion of y in x 0.771 * [backup-simplify]: Simplify y into y 0.771 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.771 * [taylor]: Taking taylor expansion of 2 in x 0.771 * [backup-simplify]: Simplify 2 into 2 0.771 * [taylor]: Taking taylor expansion of (* x y) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [taylor]: Taking taylor expansion of y in x 0.771 * [backup-simplify]: Simplify y into y 0.771 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.771 * [backup-simplify]: Simplify (* 0 y) into 0 0.771 * [backup-simplify]: Simplify (* 2 0) into 0 0.772 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.772 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.772 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.772 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 0.772 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.773 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.773 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.773 * [taylor]: Taking taylor expansion of 2 in y 0.773 * [backup-simplify]: Simplify 2 into 2 0.773 * [taylor]: Taking taylor expansion of y in y 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (* 2 0) into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (* 1 1) into 1 0.773 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (+ 1 0) into 1 0.779 * [taylor]: Taking taylor expansion of 1 in y 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.779 * [backup-simplify]: Simplify 2 into 2 0.779 * [backup-simplify]: Simplify (* 1 1) into 1 0.779 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.780 * [backup-simplify]: Simplify (+ (pow (/ 1 x) 2) (+ (pow (/ 1 y) 2) (* 2 (* (/ 1 x) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.780 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.780 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [backup-simplify]: Simplify x into x 0.780 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.780 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (* 1 1) into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.781 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.781 * [taylor]: Taking taylor expansion of 2 in y 0.781 * [backup-simplify]: Simplify 2 into 2 0.781 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.781 * [taylor]: Taking taylor expansion of (* x y) in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [backup-simplify]: Simplify x into x 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (* x 0) into 0 0.781 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.781 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.781 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (* 1 1) into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.782 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.782 * [backup-simplify]: Simplify y into y 0.782 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.782 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.782 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.782 * [taylor]: Taking taylor expansion of 2 in x 0.782 * [backup-simplify]: Simplify 2 into 2 0.782 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.782 * [taylor]: Taking taylor expansion of (* x y) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [taylor]: Taking taylor expansion of y in x 0.782 * [backup-simplify]: Simplify y into y 0.782 * [backup-simplify]: Simplify (* 0 y) into 0 0.783 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.783 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (* 1 1) into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.783 * [backup-simplify]: Simplify y into y 0.783 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.783 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.783 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.783 * [taylor]: Taking taylor expansion of 2 in x 0.783 * [backup-simplify]: Simplify 2 into 2 0.783 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.783 * [taylor]: Taking taylor expansion of (* x y) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [taylor]: Taking taylor expansion of y in x 0.784 * [backup-simplify]: Simplify y into y 0.784 * [backup-simplify]: Simplify (* 0 y) into 0 0.784 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.784 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.784 * [backup-simplify]: Simplify (+ 1 0) into 1 0.784 * [taylor]: Taking taylor expansion of 1 in y 0.784 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.785 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.785 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.785 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.785 * [taylor]: Taking taylor expansion of 2 in y 0.785 * [backup-simplify]: Simplify 2 into 2 0.785 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.787 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.787 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (* 1 1) into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (* 2 1) into 2 0.788 * [backup-simplify]: Simplify 2 into 2 0.788 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.789 * [backup-simplify]: Simplify (+ (pow (/ 1 (- x)) 2) (+ (pow (/ 1 (- y)) 2) (* 2 (* (/ 1 (- x)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.789 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.789 * [taylor]: Taking taylor expansion of x in y 0.789 * [backup-simplify]: Simplify x into x 0.789 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.789 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (* 1 1) into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.790 * [taylor]: Taking taylor expansion of 2 in y 0.790 * [backup-simplify]: Simplify 2 into 2 0.790 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.790 * [taylor]: Taking taylor expansion of (* x y) in y 0.790 * [taylor]: Taking taylor expansion of x in y 0.790 * [backup-simplify]: Simplify x into x 0.790 * [taylor]: Taking taylor expansion of y in y 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (* x 0) into 0 0.790 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.790 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* 1 1) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.791 * [backup-simplify]: Simplify y into y 0.791 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.791 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.791 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.791 * [taylor]: Taking taylor expansion of 2 in x 0.791 * [backup-simplify]: Simplify 2 into 2 0.791 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.791 * [taylor]: Taking taylor expansion of (* x y) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [taylor]: Taking taylor expansion of y in x 0.791 * [backup-simplify]: Simplify y into y 0.791 * [backup-simplify]: Simplify (* 0 y) into 0 0.792 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.792 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (* 1 1) into 1 0.792 * [backup-simplify]: Simplify (/ 1 1) into 1 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.792 * [backup-simplify]: Simplify y into y 0.792 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.792 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.792 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.792 * [taylor]: Taking taylor expansion of 2 in x 0.792 * [backup-simplify]: Simplify 2 into 2 0.792 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.792 * [taylor]: Taking taylor expansion of (* x y) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [taylor]: Taking taylor expansion of y in x 0.792 * [backup-simplify]: Simplify y into y 0.792 * [backup-simplify]: Simplify (* 0 y) into 0 0.793 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.793 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.793 * [backup-simplify]: Simplify (+ 1 0) into 1 0.793 * [taylor]: Taking taylor expansion of 1 in y 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.794 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.794 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.794 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.794 * [taylor]: Taking taylor expansion of 2 in y 0.794 * [backup-simplify]: Simplify 2 into 2 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.796 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.796 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.797 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* 1 1) into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* 2 1) into 2 0.797 * [backup-simplify]: Simplify 2 into 2 0.797 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.798 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.798 * [backup-simplify]: Simplify (* 2 (* x y)) into (* 2 (* x y)) 0.798 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 0.798 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.798 * [taylor]: Taking taylor expansion of 2 in y 0.798 * [backup-simplify]: Simplify 2 into 2 0.798 * [taylor]: Taking taylor expansion of (* x y) in y 0.798 * [taylor]: Taking taylor expansion of x in y 0.798 * [backup-simplify]: Simplify x into x 0.798 * [taylor]: Taking taylor expansion of y in y 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.798 * [taylor]: Taking taylor expansion of 2 in x 0.798 * [backup-simplify]: Simplify 2 into 2 0.798 * [taylor]: Taking taylor expansion of (* x y) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [backup-simplify]: Simplify y into y 0.798 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.798 * [taylor]: Taking taylor expansion of 2 in x 0.798 * [backup-simplify]: Simplify 2 into 2 0.798 * [taylor]: Taking taylor expansion of (* x y) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [backup-simplify]: Simplify y into y 0.798 * [backup-simplify]: Simplify (* 0 y) into 0 0.799 * [backup-simplify]: Simplify (* 2 0) into 0 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.799 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 0.799 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.799 * [taylor]: Taking taylor expansion of 2 in y 0.799 * [backup-simplify]: Simplify 2 into 2 0.799 * [taylor]: Taking taylor expansion of y in y 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (* 2 0) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.801 * [backup-simplify]: Simplify 2 into 2 0.801 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.805 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (* 2 (* y x)) into (* 2 (* x y)) 0.805 * [backup-simplify]: Simplify (* 2 (* (/ 1 x) (/ 1 y))) into (/ 2 (* x y)) 0.805 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 0.805 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 0.805 * [taylor]: Taking taylor expansion of 2 in y 0.805 * [backup-simplify]: Simplify 2 into 2 0.805 * [taylor]: Taking taylor expansion of (* x y) in y 0.805 * [taylor]: Taking taylor expansion of x in y 0.805 * [backup-simplify]: Simplify x into x 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (* x 0) into 0 0.806 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.806 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.806 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.806 * [taylor]: Taking taylor expansion of 2 in x 0.806 * [backup-simplify]: Simplify 2 into 2 0.806 * [taylor]: Taking taylor expansion of (* x y) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [backup-simplify]: Simplify y into y 0.806 * [backup-simplify]: Simplify (* 0 y) into 0 0.806 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.806 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 0.806 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.806 * [taylor]: Taking taylor expansion of 2 in x 0.806 * [backup-simplify]: Simplify 2 into 2 0.806 * [taylor]: Taking taylor expansion of (* x y) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [backup-simplify]: Simplify y into y 0.806 * [backup-simplify]: Simplify (* 0 y) into 0 0.806 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.807 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 0.807 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.807 * [taylor]: Taking taylor expansion of 2 in y 0.807 * [backup-simplify]: Simplify 2 into 2 0.807 * [taylor]: Taking taylor expansion of y in y 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (/ 2 1) into 2 0.807 * [backup-simplify]: Simplify 2 into 2 0.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.807 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 0.807 * [taylor]: Taking taylor expansion of 0 in y 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.809 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.809 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.810 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 2 (* x y)) 0.811 * [backup-simplify]: Simplify (* 2 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 2 (* x y)) 0.811 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 0.811 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 0.811 * [taylor]: Taking taylor expansion of 2 in y 0.811 * [backup-simplify]: Simplify 2 into 2 0.811 * [taylor]: Taking taylor expansion of (* x y) in y 0.811 * [taylor]: Taking taylor expansion of x in y 0.811 * [backup-simplify]: Simplify x into x 0.811 * [taylor]: Taking taylor expansion of y in y 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (* x 0) into 0 0.812 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.812 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.812 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.812 * [taylor]: Taking taylor expansion of 2 in x 0.812 * [backup-simplify]: Simplify 2 into 2 0.812 * [taylor]: Taking taylor expansion of (* x y) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [backup-simplify]: Simplify y into y 0.812 * [backup-simplify]: Simplify (* 0 y) into 0 0.812 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.812 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 0.812 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.812 * [taylor]: Taking taylor expansion of 2 in x 0.812 * [backup-simplify]: Simplify 2 into 2 0.812 * [taylor]: Taking taylor expansion of (* x y) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [backup-simplify]: Simplify y into y 0.812 * [backup-simplify]: Simplify (* 0 y) into 0 0.812 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.813 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 0.813 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.813 * [taylor]: Taking taylor expansion of 2 in y 0.813 * [backup-simplify]: Simplify 2 into 2 0.813 * [taylor]: Taking taylor expansion of y in y 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (/ 2 1) into 2 0.813 * [backup-simplify]: Simplify 2 into 2 0.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.813 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 0.813 * [taylor]: Taking taylor expansion of 0 in y 0.813 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.815 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.816 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 2 (* x y)) 0.817 * * * [progress]: simplifying candidates 0.818 * [simplify]: Simplifying: (* (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)) (+ (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)) (+ (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)) (* 2 (* x y)) 0.818 * [simplify]: Sending expressions to egg_math: (* (exp (pow h1 2)) (* (exp (pow h0 2)) (exp (* 2 (* h1 h0))))) (* (exp (pow h1 2)) (exp (+ (pow h0 2) (* 2 (* h1 h0))))) (log (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (exp (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (* (cbrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (cbrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))))) (cbrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (* (* (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (sqrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (sqrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (+ (pow (pow h1 2) 3) (pow (+ (pow h0 2) (* 2 (* h1 h0))) 3)) (+ (* (pow h1 2) (pow h1 2)) (- (* (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0)))) (* (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))))) (- (* (pow h1 2) (pow h1 2)) (* (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0))))) (- (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)) (* 2 (* h1 h0)) (+ (log 2) (+ (log h1) (log h0))) (+ (log 2) (log (* h1 h0))) (log (* 2 (* h1 h0))) (exp (* 2 (* h1 h0))) (* (* (* 2 2) 2) (* (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* 2 2) 2) (* (* (* h1 h0) (* h1 h0)) (* h1 h0))) (* (cbrt (* 2 (* h1 h0))) (cbrt (* 2 (* h1 h0)))) (cbrt (* 2 (* h1 h0))) (* (* (* 2 (* h1 h0)) (* 2 (* h1 h0))) (* 2 (* h1 h0))) (sqrt (* 2 (* h1 h0))) (sqrt (* 2 (* h1 h0))) (* 2 h1) (* (cbrt 2) (* h1 h0)) (* (sqrt 2) (* h1 h0)) (* 2 (* h1 h0)) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (* 2 (* h1 h0)) (* 2 (* h1 h0)) (* 2 (* h1 h0)) 0.822 * * [simplify]: iteration 0 : 181 enodes (cost 216 ) 0.827 * * [simplify]: iteration 1 : 783 enodes (cost 193 ) 0.847 * * [simplify]: iteration 2 : 4129 enodes (cost 189 ) 0.940 * * [simplify]: iteration 3 : 5001 enodes (cost 189 ) 0.941 * * * [progress]: adding candidates to table 1.026 * * [progress]: iteration 4 / 4 1.026 * * * [progress]: picking best candidate 1.032 * * * * [pick]: Picked # 1.032 * * * [progress]: localizing error 1.047 * * * [progress]: generating rewritten candidates 1.047 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.138 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.155 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.177 * * * [progress]: generating series expansions 1.177 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.178 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) (* 2 (* x y))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.178 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 1.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 1.178 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.178 * [taylor]: Taking taylor expansion of x in y 1.178 * [backup-simplify]: Simplify x into x 1.178 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.178 * [taylor]: Taking taylor expansion of 2 in y 1.178 * [backup-simplify]: Simplify 2 into 2 1.178 * [taylor]: Taking taylor expansion of (* x y) in y 1.178 * [taylor]: Taking taylor expansion of x in y 1.178 * [backup-simplify]: Simplify x into x 1.178 * [taylor]: Taking taylor expansion of y in y 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 1.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.179 * [taylor]: Taking taylor expansion of y in x 1.179 * [backup-simplify]: Simplify y into y 1.179 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.179 * [taylor]: Taking taylor expansion of 2 in x 1.179 * [backup-simplify]: Simplify 2 into 2 1.179 * [taylor]: Taking taylor expansion of (* x y) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [taylor]: Taking taylor expansion of y in x 1.179 * [backup-simplify]: Simplify y into y 1.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 1.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 1.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.179 * [taylor]: Taking taylor expansion of y in x 1.179 * [backup-simplify]: Simplify y into y 1.179 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.179 * [taylor]: Taking taylor expansion of 2 in x 1.179 * [backup-simplify]: Simplify 2 into 2 1.179 * [taylor]: Taking taylor expansion of (* x y) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [taylor]: Taking taylor expansion of y in x 1.179 * [backup-simplify]: Simplify y into y 1.179 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.179 * [backup-simplify]: Simplify (* 0 y) into 0 1.180 * [backup-simplify]: Simplify (* 2 0) into 0 1.180 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.180 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.180 * [taylor]: Taking taylor expansion of y in y 1.180 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify 1 into 1 1.180 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.181 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.181 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 1.181 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.181 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.181 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.181 * [taylor]: Taking taylor expansion of 2 in y 1.181 * [backup-simplify]: Simplify 2 into 2 1.181 * [taylor]: Taking taylor expansion of y in y 1.181 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify 1 into 1 1.182 * [backup-simplify]: Simplify (* 2 0) into 0 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify (* 1 1) into 1 1.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.184 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 1.184 * [backup-simplify]: Simplify (+ 0 0) into 0 1.185 * [backup-simplify]: Simplify (+ 1 0) into 1 1.185 * [taylor]: Taking taylor expansion of 1 in y 1.185 * [backup-simplify]: Simplify 1 into 1 1.185 * [backup-simplify]: Simplify 1 into 1 1.185 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.185 * [backup-simplify]: Simplify 2 into 2 1.186 * [backup-simplify]: Simplify (* 1 1) into 1 1.186 * [backup-simplify]: Simplify 1 into 1 1.186 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.187 * [backup-simplify]: Simplify (+ (+ (pow (/ 1 x) 2) (pow (/ 1 y) 2)) (* 2 (* (/ 1 x) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 1.187 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.187 * [taylor]: Taking taylor expansion of x in y 1.187 * [backup-simplify]: Simplify x into x 1.187 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.187 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.187 * [taylor]: Taking taylor expansion of y in y 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [backup-simplify]: Simplify (* 1 1) into 1 1.188 * [backup-simplify]: Simplify (/ 1 1) into 1 1.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.188 * [taylor]: Taking taylor expansion of 2 in y 1.188 * [backup-simplify]: Simplify 2 into 2 1.188 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.188 * [taylor]: Taking taylor expansion of (* x y) in y 1.188 * [taylor]: Taking taylor expansion of x in y 1.188 * [backup-simplify]: Simplify x into x 1.188 * [taylor]: Taking taylor expansion of y in y 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify 1 into 1 1.188 * [backup-simplify]: Simplify (* x 0) into 0 1.188 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.188 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (* 1 1) into 1 1.189 * [backup-simplify]: Simplify (/ 1 1) into 1 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.189 * [taylor]: Taking taylor expansion of y in x 1.189 * [backup-simplify]: Simplify y into y 1.189 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.190 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.190 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.190 * [taylor]: Taking taylor expansion of 2 in x 1.190 * [backup-simplify]: Simplify 2 into 2 1.190 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.190 * [taylor]: Taking taylor expansion of (* x y) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of y in x 1.190 * [backup-simplify]: Simplify y into y 1.190 * [backup-simplify]: Simplify (* 0 y) into 0 1.190 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.190 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.191 * [backup-simplify]: Simplify (* 1 1) into 1 1.191 * [backup-simplify]: Simplify (/ 1 1) into 1 1.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.191 * [taylor]: Taking taylor expansion of y in x 1.191 * [backup-simplify]: Simplify y into y 1.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.191 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.191 * [taylor]: Taking taylor expansion of 2 in x 1.192 * [backup-simplify]: Simplify 2 into 2 1.192 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.192 * [taylor]: Taking taylor expansion of (* x y) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [taylor]: Taking taylor expansion of y in x 1.192 * [backup-simplify]: Simplify y into y 1.192 * [backup-simplify]: Simplify (* 0 y) into 0 1.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.192 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.193 * [backup-simplify]: Simplify (+ 1 0) into 1 1.193 * [taylor]: Taking taylor expansion of 1 in y 1.193 * [backup-simplify]: Simplify 1 into 1 1.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.194 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.194 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 1.194 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.194 * [taylor]: Taking taylor expansion of 2 in y 1.194 * [backup-simplify]: Simplify 2 into 2 1.194 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (/ 1 1) into 1 1.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.197 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.197 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.197 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.197 * [taylor]: Taking taylor expansion of y in y 1.197 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (* 1 1) into 1 1.198 * [backup-simplify]: Simplify (/ 1 1) into 1 1.198 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (* 2 1) into 2 1.199 * [backup-simplify]: Simplify 2 into 2 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.200 * [backup-simplify]: Simplify (+ (+ (pow (/ 1 (- x)) 2) (pow (/ 1 (- y)) 2)) (* 2 (* (/ 1 (- x)) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 1.200 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.200 * [taylor]: Taking taylor expansion of x in y 1.200 * [backup-simplify]: Simplify x into x 1.200 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.200 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.200 * [taylor]: Taking taylor expansion of y in y 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (* 1 1) into 1 1.201 * [backup-simplify]: Simplify (/ 1 1) into 1 1.201 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.201 * [taylor]: Taking taylor expansion of 2 in y 1.201 * [backup-simplify]: Simplify 2 into 2 1.201 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.201 * [taylor]: Taking taylor expansion of (* x y) in y 1.201 * [taylor]: Taking taylor expansion of x in y 1.201 * [backup-simplify]: Simplify x into x 1.201 * [taylor]: Taking taylor expansion of y in y 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (* x 0) into 0 1.202 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.202 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify (* 1 1) into 1 1.203 * [backup-simplify]: Simplify (/ 1 1) into 1 1.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.203 * [taylor]: Taking taylor expansion of y in x 1.203 * [backup-simplify]: Simplify y into y 1.203 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.203 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.203 * [taylor]: Taking taylor expansion of 2 in x 1.203 * [backup-simplify]: Simplify 2 into 2 1.203 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.203 * [taylor]: Taking taylor expansion of (* x y) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 1 into 1 1.203 * [taylor]: Taking taylor expansion of y in x 1.203 * [backup-simplify]: Simplify y into y 1.203 * [backup-simplify]: Simplify (* 0 y) into 0 1.204 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.204 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (* 1 1) into 1 1.204 * [backup-simplify]: Simplify (/ 1 1) into 1 1.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.205 * [taylor]: Taking taylor expansion of y in x 1.205 * [backup-simplify]: Simplify y into y 1.205 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.205 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.205 * [taylor]: Taking taylor expansion of 2 in x 1.205 * [backup-simplify]: Simplify 2 into 2 1.205 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.205 * [taylor]: Taking taylor expansion of (* x y) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [taylor]: Taking taylor expansion of y in x 1.205 * [backup-simplify]: Simplify y into y 1.205 * [backup-simplify]: Simplify (* 0 y) into 0 1.205 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.205 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.206 * [backup-simplify]: Simplify (+ 1 0) into 1 1.206 * [taylor]: Taking taylor expansion of 1 in y 1.206 * [backup-simplify]: Simplify 1 into 1 1.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.207 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.207 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.207 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 1.207 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.207 * [taylor]: Taking taylor expansion of 2 in y 1.207 * [backup-simplify]: Simplify 2 into 2 1.207 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.207 * [taylor]: Taking taylor expansion of y in y 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.208 * [backup-simplify]: Simplify (/ 1 1) into 1 1.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.210 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.211 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.211 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (* 1 1) into 1 1.212 * [backup-simplify]: Simplify (/ 1 1) into 1 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (* 2 1) into 2 1.212 * [backup-simplify]: Simplify 2 into 2 1.212 * [backup-simplify]: Simplify 1 into 1 1.213 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.213 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.213 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 1.213 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.213 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.213 * [taylor]: Taking taylor expansion of x in y 1.213 * [backup-simplify]: Simplify x into x 1.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.213 * [taylor]: Taking taylor expansion of y in y 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.213 * [taylor]: Taking taylor expansion of y in x 1.213 * [backup-simplify]: Simplify y into y 1.213 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.214 * [taylor]: Taking taylor expansion of y in x 1.214 * [backup-simplify]: Simplify y into y 1.214 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.214 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify (* 1 1) into 1 1.215 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.215 * [backup-simplify]: Simplify (+ 1 0) into 1 1.215 * [taylor]: Taking taylor expansion of 1 in y 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (* 1 1) into 1 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.217 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.217 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [taylor]: Taking taylor expansion of 0 in y 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.220 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.220 * [backup-simplify]: Simplify (+ 0 0) into 0 1.220 * [taylor]: Taking taylor expansion of 0 in y 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.221 * [backup-simplify]: Simplify (+ (pow (/ 1 x) 2) (pow (/ 1 y) 2)) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.221 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.221 * [taylor]: Taking taylor expansion of x in y 1.221 * [backup-simplify]: Simplify x into x 1.221 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.221 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (* 1 1) into 1 1.222 * [backup-simplify]: Simplify (/ 1 1) into 1 1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (* 1 1) into 1 1.223 * [backup-simplify]: Simplify (/ 1 1) into 1 1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.223 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.223 * [taylor]: Taking taylor expansion of y in x 1.223 * [backup-simplify]: Simplify y into y 1.223 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.223 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (* 1 1) into 1 1.224 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.224 * [backup-simplify]: Simplify y into y 1.224 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.224 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.225 * [backup-simplify]: Simplify (+ 1 0) into 1 1.225 * [taylor]: Taking taylor expansion of 1 in y 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.226 * [backup-simplify]: Simplify (+ 0 0) into 0 1.226 * [taylor]: Taking taylor expansion of 0 in y 1.226 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.228 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [backup-simplify]: Simplify (* 1 1) into 1 1.228 * [backup-simplify]: Simplify (/ 1 1) into 1 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.230 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.231 * [backup-simplify]: Simplify (+ 0 0) into 0 1.231 * [taylor]: Taking taylor expansion of 0 in y 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [taylor]: Taking taylor expansion of 0 in y 1.235 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.237 * [backup-simplify]: Simplify (+ (pow (/ 1 (- x)) 2) (pow (/ 1 (- y)) 2)) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.237 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.237 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.237 * [taylor]: Taking taylor expansion of x in y 1.237 * [backup-simplify]: Simplify x into x 1.237 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.237 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.238 * [taylor]: Taking taylor expansion of y in y 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (* 1 1) into 1 1.238 * [backup-simplify]: Simplify (/ 1 1) into 1 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (* 1 1) into 1 1.239 * [backup-simplify]: Simplify (/ 1 1) into 1 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.239 * [taylor]: Taking taylor expansion of y in x 1.239 * [backup-simplify]: Simplify y into y 1.239 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.239 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (* 1 1) into 1 1.240 * [backup-simplify]: Simplify (/ 1 1) into 1 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.240 * [taylor]: Taking taylor expansion of y in x 1.240 * [backup-simplify]: Simplify y into y 1.240 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.240 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.241 * [backup-simplify]: Simplify (+ 1 0) into 1 1.241 * [taylor]: Taking taylor expansion of 1 in y 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [taylor]: Taking taylor expansion of 0 in y 1.242 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.244 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.244 * [taylor]: Taking taylor expansion of y in y 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (* 1 1) into 1 1.245 * [backup-simplify]: Simplify (/ 1 1) into 1 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [taylor]: Taking taylor expansion of 0 in y 1.247 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [taylor]: Taking taylor expansion of 0 in y 1.251 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.253 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.253 * [backup-simplify]: Simplify (* 2 (* x y)) into (* 2 (* x y)) 1.253 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 1.253 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.254 * [taylor]: Taking taylor expansion of 2 in y 1.254 * [backup-simplify]: Simplify 2 into 2 1.254 * [taylor]: Taking taylor expansion of (* x y) in y 1.254 * [taylor]: Taking taylor expansion of x in y 1.254 * [backup-simplify]: Simplify x into x 1.254 * [taylor]: Taking taylor expansion of y in y 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.254 * [taylor]: Taking taylor expansion of 2 in x 1.254 * [backup-simplify]: Simplify 2 into 2 1.254 * [taylor]: Taking taylor expansion of (* x y) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [taylor]: Taking taylor expansion of y in x 1.254 * [backup-simplify]: Simplify y into y 1.254 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.254 * [taylor]: Taking taylor expansion of 2 in x 1.254 * [backup-simplify]: Simplify 2 into 2 1.254 * [taylor]: Taking taylor expansion of (* x y) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [taylor]: Taking taylor expansion of y in x 1.254 * [backup-simplify]: Simplify y into y 1.254 * [backup-simplify]: Simplify (* 0 y) into 0 1.255 * [backup-simplify]: Simplify (* 2 0) into 0 1.255 * [taylor]: Taking taylor expansion of 0 in y 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.255 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 1.255 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.255 * [taylor]: Taking taylor expansion of 2 in y 1.255 * [backup-simplify]: Simplify 2 into 2 1.255 * [taylor]: Taking taylor expansion of y in y 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.256 * [backup-simplify]: Simplify (* 2 0) into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.258 * [backup-simplify]: Simplify 2 into 2 1.258 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 1.259 * [taylor]: Taking taylor expansion of 0 in y 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.261 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 1.262 * [taylor]: Taking taylor expansion of 0 in y 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify (* 2 (* y x)) into (* 2 (* x y)) 1.262 * [backup-simplify]: Simplify (* 2 (* (/ 1 x) (/ 1 y))) into (/ 2 (* x y)) 1.262 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 1.262 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 1.262 * [taylor]: Taking taylor expansion of 2 in y 1.262 * [backup-simplify]: Simplify 2 into 2 1.262 * [taylor]: Taking taylor expansion of (* x y) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.262 * [backup-simplify]: Simplify x into x 1.262 * [taylor]: Taking taylor expansion of y in y 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [backup-simplify]: Simplify (* x 0) into 0 1.262 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.262 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 1.262 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 1.262 * [taylor]: Taking taylor expansion of 2 in x 1.262 * [backup-simplify]: Simplify 2 into 2 1.262 * [taylor]: Taking taylor expansion of (* x y) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [taylor]: Taking taylor expansion of y in x 1.262 * [backup-simplify]: Simplify y into y 1.262 * [backup-simplify]: Simplify (* 0 y) into 0 1.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.263 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 1.263 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 1.263 * [taylor]: Taking taylor expansion of 2 in x 1.263 * [backup-simplify]: Simplify 2 into 2 1.263 * [taylor]: Taking taylor expansion of (* x y) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [taylor]: Taking taylor expansion of y in x 1.263 * [backup-simplify]: Simplify y into y 1.263 * [backup-simplify]: Simplify (* 0 y) into 0 1.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.263 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 1.263 * [taylor]: Taking taylor expansion of (/ 2 y) in y 1.263 * [taylor]: Taking taylor expansion of 2 in y 1.263 * [backup-simplify]: Simplify 2 into 2 1.263 * [taylor]: Taking taylor expansion of y in y 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (/ 2 1) into 2 1.263 * [backup-simplify]: Simplify 2 into 2 1.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.264 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 1.264 * [taylor]: Taking taylor expansion of 0 in y 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.264 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.265 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.265 * [taylor]: Taking taylor expansion of 0 in y 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.266 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.267 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.267 * [taylor]: Taking taylor expansion of 0 in y 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 2 (* x y)) 1.268 * [backup-simplify]: Simplify (* 2 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 2 (* x y)) 1.268 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 1.268 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 1.268 * [taylor]: Taking taylor expansion of 2 in y 1.268 * [backup-simplify]: Simplify 2 into 2 1.268 * [taylor]: Taking taylor expansion of (* x y) in y 1.268 * [taylor]: Taking taylor expansion of x in y 1.268 * [backup-simplify]: Simplify x into x 1.268 * [taylor]: Taking taylor expansion of y in y 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.268 * [backup-simplify]: Simplify (* x 0) into 0 1.268 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.268 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 1.268 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 1.268 * [taylor]: Taking taylor expansion of 2 in x 1.268 * [backup-simplify]: Simplify 2 into 2 1.268 * [taylor]: Taking taylor expansion of (* x y) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.268 * [taylor]: Taking taylor expansion of y in x 1.268 * [backup-simplify]: Simplify y into y 1.268 * [backup-simplify]: Simplify (* 0 y) into 0 1.268 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.268 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 1.269 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 1.269 * [taylor]: Taking taylor expansion of 2 in x 1.269 * [backup-simplify]: Simplify 2 into 2 1.269 * [taylor]: Taking taylor expansion of (* x y) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.269 * [taylor]: Taking taylor expansion of y in x 1.269 * [backup-simplify]: Simplify y into y 1.269 * [backup-simplify]: Simplify (* 0 y) into 0 1.269 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.269 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 1.269 * [taylor]: Taking taylor expansion of (/ 2 y) in y 1.269 * [taylor]: Taking taylor expansion of 2 in y 1.269 * [backup-simplify]: Simplify 2 into 2 1.269 * [taylor]: Taking taylor expansion of y in y 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.269 * [backup-simplify]: Simplify (/ 2 1) into 2 1.269 * [backup-simplify]: Simplify 2 into 2 1.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.270 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 1.270 * [taylor]: Taking taylor expansion of 0 in y 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.270 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.271 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.271 * [taylor]: Taking taylor expansion of 0 in y 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.272 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.273 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.273 * [taylor]: Taking taylor expansion of 0 in y 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 2 (* x y)) 1.273 * * * [progress]: simplifying candidates 1.274 * [simplify]: Simplifying: (* (* (exp (pow x 2)) (exp (pow y 2))) (exp (* 2 (* x y)))) (* (exp (+ (pow x 2) (pow y 2))) (exp (* 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) (pow y 2)) 3) (pow (* 2 (* x y)) 3)) (+ (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (- (* (* 2 (* x y)) (* 2 (* x y))) (* (+ (pow x 2) (pow y 2)) (* 2 (* x y))))) (- (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (* (* 2 (* x y)) (* 2 (* x y)))) (- (+ (pow x 2) (pow y 2)) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (* (exp (pow x 2)) (exp (pow y 2))) (log (+ (pow x 2) (pow y 2))) (exp (+ (pow x 2) (pow y 2))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (* 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)) (+ (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)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) 1.274 * [simplify]: Sending expressions to egg_math: (* (* (exp (pow h1 2)) (exp (pow h0 2))) (exp (* 2 (* h1 h0)))) (* (exp (+ (pow h1 2) (pow h0 2))) (exp (* 2 (* h1 h0)))) (log (+ (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)))) (exp (+ (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)))) (* (cbrt (+ (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)))) (cbrt (+ (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0))))) (cbrt (+ (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)))) (* (* (+ (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0))) (+ (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)))) (+ (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)))) (sqrt (+ (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)))) (sqrt (+ (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)))) (+ (pow (+ (pow h1 2) (pow h0 2)) 3) (pow (* 2 (* h1 h0)) 3)) (+ (* (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2))) (- (* (* 2 (* h1 h0)) (* 2 (* h1 h0))) (* (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0))))) (- (* (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2))) (* (* 2 (* h1 h0)) (* 2 (* h1 h0)))) (- (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0))) (* (exp (pow h1 2)) (exp (pow h0 2))) (log (+ (pow h1 2) (pow h0 2))) (exp (+ (pow h1 2) (pow h0 2))) (* (cbrt (+ (pow h1 2) (pow h0 2))) (cbrt (+ (pow h1 2) (pow h0 2)))) (cbrt (+ (pow h1 2) (pow h0 2))) (* (* (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2))) (+ (pow h1 2) (pow h0 2))) (sqrt (+ (pow h1 2) (pow h0 2))) (sqrt (+ (pow h1 2) (pow h0 2))) (+ (pow (pow h1 2) 3) (pow (pow h0 2) 3)) (+ (* (pow h1 2) (pow h1 2)) (- (* (pow h0 2) (pow h0 2)) (* (pow h1 2) (pow h0 2)))) (- (* (pow h1 2) (pow h1 2)) (* (pow h0 2) (pow h0 2))) (- (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)) (* 2 (* h1 h0)) (+ (log 2) (+ (log h1) (log h0))) (+ (log 2) (log (* h1 h0))) (log (* 2 (* h1 h0))) (exp (* 2 (* h1 h0))) (* (* (* 2 2) 2) (* (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* 2 2) 2) (* (* (* h1 h0) (* h1 h0)) (* h1 h0))) (* (cbrt (* 2 (* h1 h0))) (cbrt (* 2 (* h1 h0)))) (cbrt (* 2 (* h1 h0))) (* (* (* 2 (* h1 h0)) (* 2 (* h1 h0))) (* 2 (* h1 h0))) (sqrt (* 2 (* h1 h0))) (sqrt (* 2 (* h1 h0))) (* 2 h1) (* (cbrt 2) (* h1 h0)) (* (sqrt 2) (* h1 h0)) (* 2 (* h1 h0)) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)) (* 2 (* h1 h0)) (* 2 (* h1 h0)) 1.278 * * [simplify]: iteration 0 : 221 enodes (cost 283 ) 1.283 * * [simplify]: iteration 1 : 1012 enodes (cost 261 ) 1.305 * * [simplify]: iteration 2 : 5001 enodes (cost 261 ) 1.307 * * * [progress]: adding candidates to table 1.402 * [progress]: [Phase 3 of 3] Extracting. 1.402 * * [regime]: Finding splitpoints for: (# #) 1.402 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.402 * * * * [regimes]: Trying to branch on y from (# #) 1.415 * * * * [regimes]: Trying to branch on x from (# #) 1.426 * * * [regime]: Found split indices: #