5.440 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.016 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h0) h1) h1) 0.019 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.065 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.073 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.073 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [backup-simplify]: Simplify x into x 0.073 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.073 * [taylor]: Taking taylor expansion of 2 in y 0.074 * [backup-simplify]: Simplify 2 into 2 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.074 * [taylor]: Taking taylor expansion of 2 in x 0.074 * [backup-simplify]: Simplify 2 into 2 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.074 * [taylor]: Taking taylor expansion of 2 in x 0.074 * [backup-simplify]: Simplify 2 into 2 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.074 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.074 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.074 * [taylor]: Taking taylor expansion of 2 in y 0.074 * [backup-simplify]: Simplify 2 into 2 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 2 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.076 * [backup-simplify]: Simplify 2 into 2 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.080 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [backup-simplify]: Simplify x into x 0.080 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.080 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.080 * [taylor]: Taking taylor expansion of 2 in y 0.080 * [backup-simplify]: Simplify 2 into 2 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.081 * [taylor]: Taking taylor expansion of 2 in x 0.081 * [backup-simplify]: Simplify 2 into 2 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.082 * [taylor]: Taking taylor expansion of 2 in x 0.082 * [backup-simplify]: Simplify 2 into 2 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.084 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.085 * [taylor]: Taking taylor expansion of 2 in y 0.085 * [backup-simplify]: Simplify 2 into 2 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [backup-simplify]: Simplify (* 2 1) into 2 0.085 * [backup-simplify]: Simplify 2 into 2 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.090 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.090 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [backup-simplify]: Simplify x into x 0.090 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.090 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 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 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.091 * [taylor]: Taking taylor expansion of 2 in x 0.091 * [backup-simplify]: Simplify 2 into 2 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [backup-simplify]: Simplify y into y 0.091 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.092 * [taylor]: Taking taylor expansion of 2 in x 0.092 * [backup-simplify]: Simplify 2 into 2 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.094 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.095 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.095 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.095 * [taylor]: Taking taylor expansion of 2 in y 0.095 * [backup-simplify]: Simplify 2 into 2 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [backup-simplify]: Simplify (* 2 1) into 2 0.095 * [backup-simplify]: Simplify (- 2) into -2 0.095 * [backup-simplify]: Simplify -2 into -2 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.100 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.101 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.101 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.101 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [backup-simplify]: Simplify x into x 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.102 * [backup-simplify]: Simplify (+ 0 y) into y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.103 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.103 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [backup-simplify]: Simplify x into x 0.104 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.104 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.106 * [backup-simplify]: Simplify (+ 1 0) into 1 0.106 * [taylor]: Taking taylor expansion of 1 in y 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.112 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.112 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [backup-simplify]: Simplify x into x 0.112 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.112 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [backup-simplify]: Simplify y into y 0.113 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.113 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [backup-simplify]: Simplify y into y 0.113 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.116 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [backup-simplify]: Simplify (- 1) into -1 0.116 * [backup-simplify]: Simplify -1 into -1 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.121 * * * [progress]: simplifying candidates 0.121 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.121 * [simplify]: Sending expressions to egg_math: (* (* (exp (* h0 h0)) (exp h1)) (exp h1)) (* (exp (+ (* h0 h0) h1)) (exp h1)) (log (+ (+ (* h0 h0) h1) h1)) (exp (+ (+ (* h0 h0) h1) h1)) (* (cbrt (+ (+ (* h0 h0) h1) h1)) (cbrt (+ (+ (* h0 h0) h1) h1))) (cbrt (+ (+ (* h0 h0) h1) h1)) (* (* (+ (+ (* h0 h0) h1) h1) (+ (+ (* h0 h0) h1) h1)) (+ (+ (* h0 h0) h1) h1)) (sqrt (+ (+ (* h0 h0) h1) h1)) (sqrt (+ (+ (* h0 h0) h1) h1)) (+ (pow (+ (* h0 h0) h1) 3) (pow h1 3)) (+ (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (- (* h1 h1) (* (+ (* h0 h0) h1) h1))) (- (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (* h1 h1)) (- (+ (* h0 h0) h1) h1) (+ (+ (* h0 h0) h1) h1) (+ h1 h1) (* (exp (* h0 h0)) (exp h1)) (log (+ (* h0 h0) h1)) (exp (+ (* h0 h0) h1)) (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))) (cbrt (+ (* h0 h0) h1)) (* (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (+ (pow (* h0 h0) 3) (pow h1 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)) (- (* h0 h0) h1) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) 0.124 * * [simplify]: iteration 0 : 136 enodes (cost 138 ) 0.128 * * [simplify]: iteration 1 : 511 enodes (cost 127 ) 0.136 * * [simplify]: iteration 2 : 1640 enodes (cost 121 ) 0.170 * * [simplify]: iteration 3 : 5002 enodes (cost 120 ) 0.171 * * * [progress]: adding candidates to table 0.220 * * [progress]: iteration 2 / 4 0.220 * * * [progress]: picking best candidate 0.223 * * * * [pick]: Picked # 0.223 * * * [progress]: localizing error 0.227 * * * [progress]: generating rewritten candidates 0.227 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.248 * * * [progress]: generating series expansions 0.248 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.248 * [backup-simplify]: Simplify (+ (* x x) (+ y y)) into (+ (pow x 2) (* 2 y)) 0.248 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [backup-simplify]: Simplify x into x 0.248 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.248 * [taylor]: Taking taylor expansion of 2 in y 0.248 * [backup-simplify]: Simplify 2 into 2 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.248 * [taylor]: Taking taylor expansion of 2 in x 0.248 * [backup-simplify]: Simplify 2 into 2 0.248 * [taylor]: Taking taylor expansion of y in x 0.249 * [backup-simplify]: Simplify y into y 0.249 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.249 * [taylor]: Taking taylor expansion of 2 in x 0.249 * [backup-simplify]: Simplify 2 into 2 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [backup-simplify]: Simplify y into y 0.249 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.249 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.249 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.249 * [taylor]: Taking taylor expansion of 2 in y 0.249 * [backup-simplify]: Simplify 2 into 2 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (* 2 0) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) 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 0.250 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.250 * [backup-simplify]: Simplify 2 into 2 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.251 * [taylor]: Taking taylor expansion of 1 in y 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.254 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (+ (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.254 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow x 2) 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 (* x x) into (pow x 2) 0.254 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.254 * [taylor]: Taking taylor expansion of 2 in y 0.254 * [backup-simplify]: Simplify 2 into 2 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.255 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.255 * [taylor]: Taking taylor expansion of 2 in x 0.255 * [backup-simplify]: Simplify 2 into 2 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 (pow x 2)) (* 2 (/ 1 y))) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 (* 1 1) into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.256 * [taylor]: Taking taylor expansion of 2 in x 0.256 * [backup-simplify]: Simplify 2 into 2 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [backup-simplify]: Simplify y into y 0.256 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.256 * [backup-simplify]: Simplify (+ 1 0) 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) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.259 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.259 * [taylor]: Taking taylor expansion of 2 in y 0.259 * [backup-simplify]: Simplify 2 into 2 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (* 2 1) into 2 0.259 * [backup-simplify]: Simplify 2 into 2 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) 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 (- (+ (* 1 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 2 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 0 into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) 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 (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.264 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.264 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [backup-simplify]: Simplify x into x 0.264 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.264 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.264 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.264 * [taylor]: Taking taylor expansion of 2 in y 0.264 * [backup-simplify]: Simplify 2 into 2 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 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 (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [backup-simplify]: Simplify y into y 0.265 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.265 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.266 * [taylor]: Taking taylor expansion of 2 in x 0.266 * [backup-simplify]: Simplify 2 into 2 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.266 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.266 * [taylor]: Taking taylor expansion of 1 in y 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.268 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.269 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.269 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.269 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.269 * [taylor]: Taking taylor expansion of 2 in y 0.269 * [backup-simplify]: Simplify 2 into 2 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (* 2 1) into 2 0.269 * [backup-simplify]: Simplify (- 2) into -2 0.269 * [backup-simplify]: Simplify -2 into -2 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.276 * * * [progress]: simplifying candidates 0.276 * [simplify]: Simplifying: (* (exp (* x x)) (* (exp y) (exp y))) (* (exp (* x x)) (exp (+ y y))) (log (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y)))) (cbrt (+ (* x x) (+ y y))) (* (* (+ (* x x) (+ y y)) (+ (* x x) (+ y y))) (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (pow (* x x) 3) (pow (+ y y) 3)) (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x x) (+ y y)))) (- (* (* x x) (* x x)) (* (+ y y) (+ y y))) (- (* x x) (+ y y)) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.276 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h0)) (* (exp h1) (exp h1))) (* (exp (* h0 h0)) (exp (+ h1 h1))) (log (+ (* h0 h0) (+ h1 h1))) (exp (+ (* h0 h0) (+ h1 h1))) (* (cbrt (+ (* h0 h0) (+ h1 h1))) (cbrt (+ (* h0 h0) (+ h1 h1)))) (cbrt (+ (* h0 h0) (+ h1 h1))) (* (* (+ (* h0 h0) (+ h1 h1)) (+ (* h0 h0) (+ h1 h1))) (+ (* h0 h0) (+ h1 h1))) (sqrt (+ (* h0 h0) (+ h1 h1))) (sqrt (+ (* h0 h0) (+ h1 h1))) (+ (pow (* h0 h0) 3) (pow (+ h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (+ h1 h1) (+ h1 h1)) (* (* h0 h0) (+ h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (+ h1 h1) (+ h1 h1))) (- (* h0 h0) (+ h1 h1)) (+ (* h0 h0) h1) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) 0.279 * * [simplify]: iteration 0 : 103 enodes (cost 83 ) 0.282 * * [simplify]: iteration 1 : 468 enodes (cost 74 ) 0.291 * * [simplify]: iteration 2 : 1756 enodes (cost 74 ) 0.335 * * [simplify]: iteration 3 : 5002 enodes (cost 74 ) 0.336 * * * [progress]: adding candidates to table 0.360 * * [progress]: iteration 3 / 4 0.360 * * * [progress]: picking best candidate 0.362 * * * * [pick]: Picked # 0.362 * * * [progress]: localizing error 0.368 * * * [progress]: generating rewritten candidates 0.368 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.418 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.446 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.453 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.464 * * * [progress]: generating series expansions 0.464 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.464 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) into (+ (pow x 2) y) 0.464 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [backup-simplify]: Simplify x into x 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [backup-simplify]: Simplify y into y 0.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [backup-simplify]: Simplify y into y 0.464 * [backup-simplify]: Simplify (+ 0 y) into y 0.464 * [taylor]: Taking taylor expansion of y in y 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (+ 1 0) into 1 0.466 * [taylor]: Taking taylor expansion of 1 in y 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.467 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.467 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [backup-simplify]: Simplify x into x 0.467 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.467 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.467 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [backup-simplify]: Simplify y into y 0.468 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [backup-simplify]: Simplify y into y 0.469 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.469 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [taylor]: Taking taylor expansion of 1 in y 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.475 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.475 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [backup-simplify]: Simplify x into x 0.476 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.476 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.476 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [backup-simplify]: Simplify y into y 0.477 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [backup-simplify]: Simplify y into y 0.477 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.478 * [taylor]: Taking taylor expansion of 1 in y 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.480 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (- 1) into -1 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.484 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.485 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y) into (+ (pow x 2) (* 2 y)) 0.485 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [backup-simplify]: Simplify x into x 0.485 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.485 * [taylor]: Taking taylor expansion of 2 in y 0.485 * [backup-simplify]: Simplify 2 into 2 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.485 * [taylor]: Taking taylor expansion of 2 in x 0.485 * [backup-simplify]: Simplify 2 into 2 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [backup-simplify]: Simplify y into y 0.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.485 * [taylor]: Taking taylor expansion of 2 in x 0.485 * [backup-simplify]: Simplify 2 into 2 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [backup-simplify]: Simplify y into y 0.485 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.485 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.485 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.485 * [taylor]: Taking taylor expansion of 2 in y 0.485 * [backup-simplify]: Simplify 2 into 2 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (* 2 0) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.487 * [backup-simplify]: Simplify 2 into 2 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.488 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [taylor]: Taking taylor expansion of 1 in y 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.493 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.493 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [backup-simplify]: Simplify x into x 0.493 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.493 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.493 * [taylor]: Taking taylor expansion of 2 in y 0.493 * [backup-simplify]: Simplify 2 into 2 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.494 * [taylor]: Taking taylor expansion of 2 in x 0.494 * [backup-simplify]: Simplify 2 into 2 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [backup-simplify]: Simplify y into y 0.494 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (* 1 1) into 1 0.495 * [backup-simplify]: Simplify (/ 1 1) into 1 0.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.495 * [taylor]: Taking taylor expansion of 2 in x 0.495 * [backup-simplify]: Simplify 2 into 2 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [backup-simplify]: Simplify y into y 0.495 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.495 * [backup-simplify]: Simplify (+ 1 0) into 1 0.495 * [taylor]: Taking taylor expansion of 1 in y 0.495 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.498 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.498 * [taylor]: Taking taylor expansion of 2 in y 0.498 * [backup-simplify]: Simplify 2 into 2 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [backup-simplify]: Simplify (* 2 1) into 2 0.498 * [backup-simplify]: Simplify 2 into 2 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.503 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.503 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.503 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [backup-simplify]: Simplify x into x 0.503 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.504 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.504 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.504 * [taylor]: Taking taylor expansion of 2 in y 0.504 * [backup-simplify]: Simplify 2 into 2 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.504 * [taylor]: Taking taylor expansion of 2 in x 0.504 * [backup-simplify]: Simplify 2 into 2 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.505 * [backup-simplify]: Simplify y into y 0.505 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (* 1 1) into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.505 * [taylor]: Taking taylor expansion of 2 in x 0.505 * [backup-simplify]: Simplify 2 into 2 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [backup-simplify]: Simplify y into y 0.505 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.505 * [backup-simplify]: Simplify (+ 1 0) into 1 0.506 * [taylor]: Taking taylor expansion of 1 in y 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.508 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.508 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.508 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.508 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.508 * [taylor]: Taking taylor expansion of 2 in y 0.508 * [backup-simplify]: Simplify 2 into 2 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [backup-simplify]: Simplify (* 2 1) into 2 0.508 * [backup-simplify]: Simplify (- 2) into -2 0.509 * [backup-simplify]: Simplify -2 into -2 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.511 * [backup-simplify]: Simplify (- 0) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.514 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.514 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.514 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [backup-simplify]: Simplify x into x 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [backup-simplify]: Simplify y into y 0.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [backup-simplify]: Simplify y into y 0.515 * [backup-simplify]: Simplify (+ 0 y) into y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (+ 1 0) into 1 0.516 * [taylor]: Taking taylor expansion of 1 in y 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.517 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.517 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.517 * [taylor]: Taking taylor expansion of x in y 0.517 * [backup-simplify]: Simplify x into x 0.517 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.517 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [backup-simplify]: Simplify y into y 0.518 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (* 1 1) into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [backup-simplify]: Simplify y into y 0.518 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.519 * [backup-simplify]: Simplify (+ 1 0) into 1 0.519 * [taylor]: Taking taylor expansion of 1 in y 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.521 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.525 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.525 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.525 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [backup-simplify]: Simplify x into x 0.525 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.525 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.526 * [backup-simplify]: Simplify y into y 0.526 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [backup-simplify]: Simplify y into y 0.527 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.527 * [backup-simplify]: Simplify (+ 1 0) into 1 0.527 * [taylor]: Taking taylor expansion of 1 in y 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.529 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.529 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [backup-simplify]: Simplify (- 1) into -1 0.530 * [backup-simplify]: Simplify -1 into -1 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.531 * [backup-simplify]: Simplify (- 0) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.534 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.534 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.534 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [backup-simplify]: Simplify x into x 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [backup-simplify]: Simplify y into y 0.534 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [backup-simplify]: Simplify y into y 0.535 * [backup-simplify]: Simplify (+ 0 y) into y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (* 1 1) into 1 0.536 * [backup-simplify]: Simplify (+ 1 0) into 1 0.536 * [taylor]: Taking taylor expansion of 1 in y 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.537 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.537 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [backup-simplify]: Simplify x into x 0.537 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.537 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.537 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (* 1 1) into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.538 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [backup-simplify]: Simplify y into y 0.538 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (* 1 1) into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [backup-simplify]: Simplify y into y 0.539 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.539 * [backup-simplify]: Simplify (+ 1 0) into 1 0.539 * [taylor]: Taking taylor expansion of 1 in y 0.539 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.546 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.546 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.546 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [backup-simplify]: Simplify x into x 0.546 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.546 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.546 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [backup-simplify]: Simplify y into y 0.547 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.547 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.548 * [backup-simplify]: Simplify y into y 0.548 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.548 * [backup-simplify]: Simplify (+ 1 0) into 1 0.548 * [taylor]: Taking taylor expansion of 1 in y 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.550 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.550 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [backup-simplify]: Simplify (- 1) into -1 0.551 * [backup-simplify]: Simplify -1 into -1 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.555 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.555 * * * [progress]: simplifying candidates 0.557 * [simplify]: Simplifying: (+ 1/2 1/2) (+ 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(* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.557 * [simplify]: Sending expressions to egg_math: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 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(* h0 h0) h1))) (cbrt (+ (* h0 h0) h1)) (* (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (+ (pow (* h0 h0) 3) (pow h1 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)) (- (* h0 h0) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) 0.562 * * [simplify]: iteration 0 : 227 enodes (cost 600 ) 0.568 * * [simplify]: iteration 1 : 903 enodes (cost 514 ) 0.592 * * [simplify]: iteration 2 : 5002 enodes (cost 498 ) 0.596 * * * [progress]: adding candidates to table 0.750 * [progress]: [Phase 3 of 3] Extracting. 0.750 * * [regime]: Finding splitpoints for: (# #) 0.750 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 0.750 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.760 * * * * [regimes]: Trying to branch on y from (# #) 0.772 * * * * [regimes]: Trying to branch on x from (# #) 0.782 * * * [regime]: Found split indices: #