9.229 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (- x (* y y)) 0.020 * [simplify]: Sending expressions to egg_math: (- h1 (* h0 h0)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.054 * [backup-simplify]: Simplify (- x (* y y)) into (- x (pow y 2)) 0.054 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.054 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.055 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.055 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.056 * [backup-simplify]: Simplify (- 0) into 0 0.056 * [backup-simplify]: Simplify (+ 1 0) into 1 0.056 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (- 1) into -1 0.058 * [backup-simplify]: Simplify -1 into -1 0.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.059 * [backup-simplify]: Simplify (- 0) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.061 * [backup-simplify]: Simplify (- 0) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.062 * [backup-simplify]: Simplify (- 0) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (* 1 x))) into (- x (pow y 2)) 0.063 * [backup-simplify]: Simplify (- (/ 1 x) (* (/ 1 y) (/ 1 y))) into (- (/ 1 x) (/ 1 (pow y 2))) 0.063 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [backup-simplify]: Simplify x into x 0.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.066 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.066 * [backup-simplify]: Simplify (+ 1 0) into 1 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.067 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (* 1 1) into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.068 * [backup-simplify]: Simplify (- 1) into -1 0.068 * [backup-simplify]: Simplify -1 into -1 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.074 * [backup-simplify]: Simplify (- 0) 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 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.079 * [backup-simplify]: Simplify (- 0) 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 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- x (pow y 2)) 0.085 * [backup-simplify]: Simplify (- (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (+ (/ 1 (pow y 2)) (/ 1 x))) 0.086 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.086 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [backup-simplify]: Simplify x into x 0.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.087 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.087 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.088 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [backup-simplify]: Simplify (+ 0 1) into 1 0.089 * [backup-simplify]: Simplify (- 1) into -1 0.089 * [taylor]: Taking taylor expansion of -1 in y 0.089 * [backup-simplify]: Simplify -1 into -1 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.090 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify (- 1) into -1 0.091 * [backup-simplify]: Simplify -1 into -1 0.091 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify -1 into -1 0.095 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (- 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) (+ (* 0 0) (* 0 1))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (- 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 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (- 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 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- x (pow y 2)) 0.108 * * * [progress]: simplifying candidates 0.108 * [simplify]: Simplifying: (/ (exp x) (exp (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (* (* (- x (* y y)) (- x (* y y))) (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y)))) (- (* y y)) (- (* x x) (* (* y y) (* y y))) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (- (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.109 * [simplify]: Sending expressions to egg_math: (/ (exp h1) (exp (* h0 h0))) (log (- h1 (* h0 h0))) (exp (- h1 (* h0 h0))) (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0)))) (cbrt (- h1 (* h0 h0))) (* (* (- h1 (* h0 h0)) (- h1 (* h0 h0))) (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0))) (- (pow h1 3) (pow (* h0 h0) 3)) (+ (* h1 h1) (+ (* (* h0 h0) (* h0 h0)) (* h1 (* h0 h0)))) (- (* h0 h0)) (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)) (+ (sqrt h1) h0) (- (sqrt h1) h0) (- (* h0 h0)) (- h1 (pow h0 2)) (- h1 (pow h0 2)) (- h1 (pow h0 2)) 1.289 * * * [progress]: adding candidates to table 1.333 * * [progress]: iteration 2 / 4 1.333 * * * [progress]: picking best candidate 1.335 * * * * [pick]: Picked # 1.335 * * * [progress]: localizing error 1.349 * * * [progress]: generating rewritten candidates 1.349 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.388 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.398 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.434 * * * [progress]: generating series expansions 1.434 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.434 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y))) into (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) 1.434 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in (x y) around 0 1.434 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in y 1.434 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in y 1.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.434 * [taylor]: Taking taylor expansion of x in y 1.434 * [backup-simplify]: Simplify x into x 1.434 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.434 * [taylor]: Taking taylor expansion of y in y 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in y 1.435 * [taylor]: Taking taylor expansion of x in y 1.435 * [backup-simplify]: Simplify x into x 1.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.435 * [taylor]: Taking taylor expansion of y in y 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.435 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.435 * [backup-simplify]: Simplify (+ x 0) into x 1.435 * [backup-simplify]: Simplify (/ (pow x 2) x) into x 1.435 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in x 1.435 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 1.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.435 * [taylor]: Taking taylor expansion of y in x 1.435 * [backup-simplify]: Simplify y into y 1.435 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.435 * [taylor]: Taking taylor expansion of y in x 1.435 * [backup-simplify]: Simplify y into y 1.435 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.435 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.435 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 1.436 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 1.436 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.436 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.436 * [backup-simplify]: Simplify (/ (- (pow y 4)) (pow y 2)) into (* -1 (pow y 2)) 1.436 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in x 1.436 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 1.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.436 * [taylor]: Taking taylor expansion of y in x 1.436 * [backup-simplify]: Simplify y into y 1.436 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.436 * [taylor]: Taking taylor expansion of y in x 1.436 * [backup-simplify]: Simplify y into y 1.436 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.436 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.436 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 1.437 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 1.437 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.437 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.437 * [backup-simplify]: Simplify (/ (- (pow y 4)) (pow y 2)) into (* -1 (pow y 2)) 1.437 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 1.437 * [taylor]: Taking taylor expansion of -1 in y 1.437 * [backup-simplify]: Simplify -1 into -1 1.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.437 * [taylor]: Taking taylor expansion of y in y 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.437 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.438 * [backup-simplify]: Simplify (+ 1 0) into 1 1.439 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (* -1 (pow y 2)) (/ 1 (pow y 2))))) into 1 1.439 * [taylor]: Taking taylor expansion of 1 in y 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (* 1 1) into 1 1.439 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.440 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ 1 0) into 1 1.441 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* (* -1 (pow y 2)) (/ 0 (pow y 2))) (* 1 (/ 1 (pow y 2))))) into 0 1.442 * [taylor]: Taking taylor expansion of 0 in y 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify (* 1 1) into 1 1.443 * [backup-simplify]: Simplify (* -1 1) into -1 1.443 * [backup-simplify]: Simplify -1 into -1 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.444 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.445 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.445 * [backup-simplify]: Simplify (- 0) into 0 1.445 * [backup-simplify]: Simplify (+ 0 0) into 0 1.446 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.446 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (* -1 (pow y 2)) (/ 0 (pow y 2))) (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))))) into 0 1.447 * [taylor]: Taking taylor expansion of 0 in y 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.448 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.450 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.451 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.451 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (* -1 (pow y 2)) (/ 0 (pow y 2))) (* 1 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))))) into 0 1.453 * [taylor]: Taking taylor expansion of 0 in y 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (* 1 x))) into (- x (pow y 2)) 1.454 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y)))) (+ (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) 1.454 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 1.454 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) in y 1.454 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.454 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.454 * [taylor]: Taking taylor expansion of x in y 1.454 * [backup-simplify]: Simplify x into x 1.454 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.455 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.455 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.455 * [taylor]: Taking taylor expansion of y in y 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (* 1 1) into 1 1.455 * [backup-simplify]: Simplify (* 1 1) into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 1.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.456 * [taylor]: Taking taylor expansion of y in y 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (* 1 1) into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.456 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.456 * [taylor]: Taking taylor expansion of x in y 1.456 * [backup-simplify]: Simplify x into x 1.456 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.457 * [backup-simplify]: Simplify (- 1) into -1 1.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.458 * [backup-simplify]: Simplify (+ 1 0) into 1 1.458 * [backup-simplify]: Simplify (/ -1 1) into -1 1.458 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) in x 1.458 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 1.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (* 1 1) into 1 1.459 * [backup-simplify]: Simplify (/ 1 1) into 1 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.459 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.459 * [taylor]: Taking taylor expansion of y in x 1.459 * [backup-simplify]: Simplify y into y 1.459 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.459 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.459 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.459 * [taylor]: Taking taylor expansion of y in x 1.459 * [backup-simplify]: Simplify y into y 1.459 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.460 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (/ 1 1) into 1 1.460 * [backup-simplify]: Simplify (+ 1 0) into 1 1.461 * [backup-simplify]: Simplify (+ 0 1) into 1 1.461 * [backup-simplify]: Simplify (/ 1 1) into 1 1.461 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) in x 1.461 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [backup-simplify]: Simplify (* 1 1) into 1 1.462 * [backup-simplify]: Simplify (/ 1 1) into 1 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.462 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.462 * [taylor]: Taking taylor expansion of y in x 1.462 * [backup-simplify]: Simplify y into y 1.462 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.462 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.462 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.462 * [taylor]: Taking taylor expansion of y in x 1.462 * [backup-simplify]: Simplify y into y 1.462 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.463 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (/ 1 1) into 1 1.463 * [backup-simplify]: Simplify (+ 1 0) into 1 1.464 * [backup-simplify]: Simplify (+ 0 1) into 1 1.464 * [backup-simplify]: Simplify (/ 1 1) into 1 1.464 * [taylor]: Taking taylor expansion of 1 in y 1.464 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.465 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)))) into (- (/ 1 (pow y 2))) 1.467 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.467 * [taylor]: Taking taylor expansion of y in y 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (* 1 1) into 1 1.471 * [backup-simplify]: Simplify (/ 1 1) into 1 1.472 * [backup-simplify]: Simplify (- 1) into -1 1.472 * [backup-simplify]: Simplify -1 into -1 1.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.473 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.474 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.474 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.475 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 (pow y 2))) (/ (/ 1 (pow y 2)) 1)))) into 0 1.476 * [taylor]: Taking taylor expansion of 0 in y 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.479 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 1.480 * [backup-simplify]: Simplify (- 0) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (+ 0 0) into 0 1.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)))) into 0 1.483 * [taylor]: Taking taylor expansion of 0 in y 1.483 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (- 0) into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.488 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.490 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)))) into 0 1.493 * [taylor]: Taking taylor expansion of 0 in y 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (- 0) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.498 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.499 * [backup-simplify]: Simplify (- 0) into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.500 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)))) into 0 1.504 * [taylor]: Taking taylor expansion of 0 in y 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- x (pow y 2)) 1.505 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y))))) (+ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) 1.505 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 1.505 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in y 1.505 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.505 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.505 * [taylor]: Taking taylor expansion of x in y 1.505 * [backup-simplify]: Simplify x into x 1.505 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.505 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.505 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.505 * [taylor]: Taking taylor expansion of y in y 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.506 * [backup-simplify]: Simplify (/ 1 1) into 1 1.506 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in y 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.506 * [taylor]: Taking taylor expansion of y in y 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (* 1 1) into 1 1.506 * [backup-simplify]: Simplify (/ 1 1) into 1 1.506 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.506 * [taylor]: Taking taylor expansion of x in y 1.506 * [backup-simplify]: Simplify x into x 1.506 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.507 * [backup-simplify]: Simplify (- 1) into -1 1.507 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.507 * [backup-simplify]: Simplify (+ 1 0) into 1 1.508 * [backup-simplify]: Simplify (/ -1 1) into -1 1.508 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in x 1.508 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (* 1 1) into 1 1.508 * [backup-simplify]: Simplify (/ 1 1) into 1 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.508 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.508 * [taylor]: Taking taylor expansion of y in x 1.508 * [backup-simplify]: Simplify y into y 1.508 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.508 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.508 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.509 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.509 * [taylor]: Taking taylor expansion of y in x 1.509 * [backup-simplify]: Simplify y into y 1.509 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.509 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [backup-simplify]: Simplify (/ 1 1) into 1 1.509 * [backup-simplify]: Simplify (+ 1 0) into 1 1.509 * [backup-simplify]: Simplify (- 1) into -1 1.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.510 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.510 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in x 1.510 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (* 1 1) into 1 1.511 * [backup-simplify]: Simplify (/ 1 1) into 1 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.511 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.511 * [taylor]: Taking taylor expansion of y in x 1.511 * [backup-simplify]: Simplify y into y 1.511 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.511 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.511 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.511 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.511 * [taylor]: Taking taylor expansion of y in x 1.511 * [backup-simplify]: Simplify y into y 1.511 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.511 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [backup-simplify]: Simplify (/ 1 1) into 1 1.512 * [backup-simplify]: Simplify (+ 1 0) into 1 1.512 * [backup-simplify]: Simplify (- 1) into -1 1.512 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.512 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.512 * [taylor]: Taking taylor expansion of -1 in y 1.512 * [backup-simplify]: Simplify -1 into -1 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.513 * [backup-simplify]: Simplify (+ 0 0) into 0 1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.514 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.515 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)))) into (- (/ 1 (pow y 2))) 1.515 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.515 * [taylor]: Taking taylor expansion of y in y 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [backup-simplify]: Simplify (- 1) into -1 1.515 * [backup-simplify]: Simplify -1 into -1 1.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.517 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.517 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.517 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (- 0) into 0 1.518 * [backup-simplify]: Simplify (+ 0 0) into 0 1.519 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) -1) (+ (* -1 (/ 0 -1)) (* (- (/ 1 (pow y 2))) (/ (/ 1 (pow y 2)) -1)))) into 0 1.519 * [taylor]: Taking taylor expansion of 0 in y 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (- 0) into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify -1 into -1 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.521 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 1.521 * [backup-simplify]: Simplify (- 0) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (- 0) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.524 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (/ 1 (pow y 2))) (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)))) into 0 1.524 * [taylor]: Taking taylor expansion of 0 in y 1.524 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.525 * [backup-simplify]: Simplify (- 0) into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.528 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.529 * [backup-simplify]: Simplify (- 0) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (- 0) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (/ 1 (pow y 2))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)))) into 0 1.533 * [taylor]: Taking taylor expansion of 0 in y 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.537 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.538 * [backup-simplify]: Simplify (- 0) into 0 1.538 * [backup-simplify]: Simplify (+ 0 0) into 0 1.539 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.540 * [backup-simplify]: Simplify (- 0) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.542 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (/ 1 (pow y 2))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)))) into 0 1.542 * [taylor]: Taking taylor expansion of 0 in y 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- x (pow y 2)) 1.542 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.542 * [backup-simplify]: Simplify (- (* x x) (* (* y y) (* y y))) into (- (pow x 2) (pow y 4)) 1.542 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in (x y) around 0 1.542 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in y 1.542 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.542 * [taylor]: Taking taylor expansion of x in y 1.543 * [backup-simplify]: Simplify x into x 1.543 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.543 * [taylor]: Taking taylor expansion of y in y 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 1.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [backup-simplify]: Simplify y into y 1.543 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 1.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [backup-simplify]: Simplify y into y 1.543 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.543 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.543 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 1.543 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 1.543 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 1.543 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.543 * [taylor]: Taking taylor expansion of y in y 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.544 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.544 * [backup-simplify]: Simplify (- 0) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.544 * [taylor]: Taking taylor expansion of 0 in y 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (* 1 1) into 1 1.545 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.545 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.545 * [backup-simplify]: Simplify (- 0) into 0 1.546 * [backup-simplify]: Simplify (+ 1 0) into 1 1.546 * [taylor]: Taking taylor expansion of 1 in y 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.547 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.548 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.548 * [backup-simplify]: Simplify (- 0) into 0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [taylor]: Taking taylor expansion of 0 in y 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.550 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.551 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.552 * [backup-simplify]: Simplify (- 0) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [taylor]: Taking taylor expansion of 0 in y 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (* 1 (pow (* 1 x) 2)) into (pow x 2) 1.553 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) 1.553 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in (x y) around 0 1.553 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.553 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.553 * [taylor]: Taking taylor expansion of x in y 1.553 * [backup-simplify]: Simplify x into x 1.553 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.553 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.553 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.553 * [taylor]: Taking taylor expansion of y in y 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (* 1 1) into 1 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.554 * [backup-simplify]: Simplify (/ 1 1) into 1 1.554 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.555 * [backup-simplify]: Simplify (/ 1 1) into 1 1.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.555 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [backup-simplify]: Simplify y into y 1.555 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.555 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.555 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.555 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify (* 1 1) into 1 1.556 * [backup-simplify]: Simplify (/ 1 1) into 1 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.556 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.556 * [backup-simplify]: Simplify y into y 1.556 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.556 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.556 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.556 * [backup-simplify]: Simplify (+ 1 0) into 1 1.556 * [taylor]: Taking taylor expansion of 1 in y 1.556 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.557 * [taylor]: Taking taylor expansion of 0 in y 1.557 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.559 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.559 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.559 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.559 * [taylor]: Taking taylor expansion of y in y 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [backup-simplify]: Simplify (* 1 1) into 1 1.559 * [backup-simplify]: Simplify (* 1 1) into 1 1.560 * [backup-simplify]: Simplify (/ 1 1) into 1 1.560 * [backup-simplify]: Simplify (- 1) into -1 1.560 * [backup-simplify]: Simplify -1 into -1 1.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.562 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 1.562 * [backup-simplify]: Simplify (- 0) into 0 1.563 * [backup-simplify]: Simplify (+ 0 0) into 0 1.563 * [taylor]: Taking taylor expansion of 0 in y 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (- 0) into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.567 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.568 * [backup-simplify]: Simplify (- 0) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [taylor]: Taking taylor expansion of 0 in y 1.568 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (- 0) into 0 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.574 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.575 * [backup-simplify]: Simplify (- 0) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [taylor]: Taking taylor expansion of 0 in y 1.575 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.584 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.585 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [taylor]: Taking taylor expansion of 0 in y 1.586 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.589 * [backup-simplify]: Simplify (- 0) into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 2) (pow y 4)) 1.589 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y))))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) 1.590 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in (x y) around 0 1.590 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.590 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.590 * [taylor]: Taking taylor expansion of x in y 1.590 * [backup-simplify]: Simplify x into x 1.590 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.590 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.590 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (* 1 1) into 1 1.591 * [backup-simplify]: Simplify (* 1 1) into 1 1.591 * [backup-simplify]: Simplify (/ 1 1) into 1 1.591 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (* 1 1) into 1 1.592 * [backup-simplify]: Simplify (/ 1 1) into 1 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.592 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.592 * [taylor]: Taking taylor expansion of y in x 1.592 * [backup-simplify]: Simplify y into y 1.592 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.592 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.592 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.592 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (* 1 1) into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.593 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.593 * [taylor]: Taking taylor expansion of y in x 1.593 * [backup-simplify]: Simplify y into y 1.593 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.593 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.593 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.594 * [backup-simplify]: Simplify (+ 1 0) into 1 1.594 * [taylor]: Taking taylor expansion of 1 in y 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [taylor]: Taking taylor expansion of 0 in y 1.595 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.597 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.597 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.597 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.597 * [taylor]: Taking taylor expansion of y in y 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify (* 1 1) into 1 1.598 * [backup-simplify]: Simplify (* 1 1) into 1 1.598 * [backup-simplify]: Simplify (/ 1 1) into 1 1.598 * [backup-simplify]: Simplify (- 1) into -1 1.598 * [backup-simplify]: Simplify -1 into -1 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.600 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [taylor]: Taking taylor expansion of 0 in y 1.601 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (- 0) into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.605 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.606 * [backup-simplify]: Simplify (- 0) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [taylor]: Taking taylor expansion of 0 in y 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.609 * [backup-simplify]: Simplify (- 0) into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [taylor]: Taking taylor expansion of 0 in y 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.620 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.621 * [backup-simplify]: Simplify (- 0) into 0 1.621 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [taylor]: Taking taylor expansion of 0 in y 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (- 0) into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 2) (pow y 4)) 1.625 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 1.625 * [backup-simplify]: Simplify (* (* y y) (* y y)) into (pow y 4) 1.625 * [approximate]: Taking taylor expansion of (pow y 4) in (y) around 0 1.625 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.625 * [taylor]: Taking taylor expansion of y in y 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.625 * [taylor]: Taking taylor expansion of y in y 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (* 1 1) into 1 1.626 * [backup-simplify]: Simplify (* 1 1) into 1 1.626 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify (* 1 (pow y 4)) into (pow y 4) 1.637 * [backup-simplify]: Simplify (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y))) into (/ 1 (pow y 4)) 1.637 * [approximate]: Taking taylor expansion of (/ 1 (pow y 4)) in (y) around 0 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.637 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.637 * [taylor]: Taking taylor expansion of y in y 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (* 1 1) into 1 1.638 * [backup-simplify]: Simplify (* 1 1) into 1 1.638 * [backup-simplify]: Simplify (/ 1 1) into 1 1.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.638 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.638 * [taylor]: Taking taylor expansion of y in y 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (* 1 1) into 1 1.639 * [backup-simplify]: Simplify (* 1 1) into 1 1.639 * [backup-simplify]: Simplify (/ 1 1) into 1 1.639 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 y)) 4)) into (pow y 4) 1.651 * [backup-simplify]: Simplify (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 1 (pow y 4)) 1.652 * [approximate]: Taking taylor expansion of (/ 1 (pow y 4)) in (y) around 0 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.652 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.652 * [taylor]: Taking taylor expansion of y in y 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [backup-simplify]: Simplify (* 1 1) into 1 1.652 * [backup-simplify]: Simplify (* 1 1) into 1 1.652 * [backup-simplify]: Simplify (/ 1 1) into 1 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.652 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.652 * [taylor]: Taking taylor expansion of y in y 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (* 1 1) into 1 1.653 * [backup-simplify]: Simplify (* 1 1) into 1 1.653 * [backup-simplify]: Simplify (/ 1 1) into 1 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 (- y))) 4)) into (pow y 4) 1.664 * * * [progress]: simplifying candidates 1.666 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y y) (* y y)))) (log (+ x (* y y)))) (log (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y)))) (exp (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y)))) (/ (* (* (- (* x x) (* (* y y) (* y y))) (- (* x x) (* (* y y) (* y y)))) (- (* x x) (* (* y y) (* y y)))) (* (* (+ x (* y y)) (+ x (* y y))) (+ x (* y y)))) (* (cbrt (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y)))) (cbrt (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y))))) (cbrt (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y)))) (* (* (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y))) (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y)))) (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y)))) (sqrt (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y)))) (sqrt (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y)))) (- (- (* x x) (* (* y y) (* y y)))) (- (+ x (* y y))) (/ (* x x) (+ x (* y y))) (/ (* (* y y) (* y y)) (+ x (* y y))) (/ (* (cbrt (- (* x x) (* (* y y) (* y y)))) (cbrt (- (* x x) (* (* y y) (* y y))))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (cbrt (- (* x x) (* (* y y) (* y y)))) (cbrt (+ x (* y y)))) (/ (* (cbrt (- (* x x) (* (* y y) (* y y)))) (cbrt (- (* x x) (* (* y y) (* y y))))) (sqrt (+ x (* y y)))) (/ (cbrt (- (* x x) (* (* y y) (* y y)))) (sqrt (+ x (* y y)))) (/ (* (cbrt (- (* x x) (* (* y y) (* y y)))) (cbrt (- (* x x) (* (* y y) (* y y))))) 1) (/ (cbrt (- (* x x) (* (* y y) (* y y)))) (+ x (* y y))) (/ (sqrt (- (* x x) (* (* y y) (* y y)))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (sqrt (- (* x x) (* (* y y) (* y y)))) (cbrt (+ x (* y y)))) (/ (sqrt (- (* x x) (* (* y y) (* y y)))) (sqrt (+ x (* y y)))) (/ (sqrt (- (* x x) (* (* y y) (* y y)))) (sqrt (+ x (* y y)))) (/ (sqrt (- (* x x) (* (* y y) (* y y)))) 1) (/ (sqrt (- (* x x) (* (* y y) (* y y)))) (+ x (* y y))) (/ 1 (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- (* x x) (* (* y y) (* y y))) (cbrt (+ x (* y y)))) (/ 1 (sqrt (+ x (* y y)))) (/ (- (* x x) (* (* y y) (* y y))) (sqrt (+ x (* y y)))) (/ 1 1) (/ (- (* x x) (* (* y y) (* y y))) (+ x (* y y))) (/ (+ x (* y y)) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- x (* y y)) (cbrt (+ x (* y y)))) (/ (+ x (* y y)) (sqrt (+ x (* y y)))) (/ (- x (* y y)) (sqrt (+ x (* y y)))) (/ (+ x (* y y)) 1) (/ (- x (* y y)) (+ x (* y y))) (/ 1 (+ x (* y y))) (/ (+ x (* y y)) (- (* x x) (* (* y y) (* y y)))) (/ (- (* x x) (* (* y y) (* y y))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- (* x x) (* (* y y) (* y y))) (sqrt (+ x (* y y)))) (/ (- (* x x) (* (* y y) (* y y))) 1) (/ (+ x (* y y)) (cbrt (- (* x x) (* (* y y) (* y y))))) (/ (+ x (* y y)) (sqrt (- (* x x) (* (* y y) (* y y))))) (/ (+ x (* y y)) (- (* x x) (* (* y y) (* y y)))) (/ (+ x (* y y)) (- x (* y y))) (/ (- (* x x) (* (* y y) (* y y))) (+ (pow x 3) (pow (* y y) 3))) (/ (- (* x x) (* (* y y) (* y y))) (- (* x x) (* (* y y) (* y y)))) (* (+ x (* y y)) (+ (* (* x x) (* x x)) (+ (* (* (* y y) (* y y)) (* (* y y) (* y y))) (* (* x x) (* (* y y) (* y y)))))) (* (+ x (* y y)) (+ (* x x) (* (* y y) (* y y)))) (/ (exp (* x x)) (exp (* (* y y) (* y y)))) (log (- (* x x) (* (* y y) (* y y)))) (exp (- (* x x) (* (* y y) (* y y)))) (* (cbrt (- (* x x) (* (* y y) (* y y)))) (cbrt (- (* x x) (* (* y y) (* y y))))) (cbrt (- (* x x) (* (* y y) (* y y)))) (* (* (- (* x x) (* (* y y) (* y y))) (- (* x x) (* (* y y) (* y y)))) (- (* x x) (* (* y y) (* y y)))) (sqrt (- (* x x) (* (* y y) (* y y)))) (sqrt (- (* x x) (* (* y y) (* y y)))) (- (pow (* x x) 3) (pow (* (* y y) (* y y)) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y y) (* y y)) (* (* y y) (* y y))) (* (* x x) (* (* y y) (* y y))))) (- (* (* y y) (* y y))) (- (* (* x x) (* x x)) (* (* (* y y) (* y y)) (* (* y y) (* y y)))) (+ (* x x) (* (* y y) (* y y))) (+ x (* y y)) (- x (* y y)) (- (* (* y y) (* y y))) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (* y y) (* y y) (* (* y y) (* y y)) (* (* y y) (* y y)) (* y y) (* y y) (* y y) (* (* y y) (* y y)) (* (* y y) (* y y)) (* y y) (+ 1 1) (+ 1 1) (+ (+ (log y) (log y)) (+ (log y) (log y))) (+ (+ (log y) (log y)) (log (* y y))) (+ (log (* y y)) (+ (log y) (log y))) (+ (log (* y y)) (log (* y y))) (log (* (* y y) (* y y))) (exp (* (* y y) (* y y))) (* (* (* (* y y) y) (* (* y y) y)) (* (* (* y y) y) (* (* y y) y))) (* (* (* (* y y) y) (* (* y y) y)) (* (* (* y y) (* y y)) (* y y))) (* (* (* (* y y) (* y y)) (* y y)) (* (* (* y y) y) (* (* y y) y))) (* (* (* (* y y) (* y y)) (* y y)) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (* y y) (* y y))) (cbrt (* (* y y) (* y y)))) (cbrt (* (* y y) (* y y))) (* (* (* (* y y) (* y y)) (* (* y y) (* y y))) (* (* y y) (* y y))) (sqrt (* (* y y) (* y y))) (sqrt (* (* y y) (* y y))) (* y y) (* y y) (* y y) (* y y) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 2) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 (* 2 1)) (* (* y y) y) (* y (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) (pow x 2) (- (pow x 2) (pow y 4)) (- (pow x 2) (pow y 4)) (pow y 4) (pow y 4) (pow y 4) 1.666 * [simplify]: Sending expressions to egg_math: (- (log (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (log (+ h1 (* h0 h0)))) (log (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)))) (exp (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)))) (/ (* (* (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (* (* (+ h1 (* h0 h0)) (+ h1 (* h0 h0))) (+ h1 (* h0 h0)))) (* (cbrt (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)))) (cbrt (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0))))) (cbrt (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)))) (* (* (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0))) (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)))) (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)))) (sqrt (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)))) (sqrt (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)))) (- (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (- (+ h1 (* h0 h0))) (/ (* h1 h1) (+ h1 (* h0 h0))) (/ (* (* h0 h0) (* h0 h0)) (+ h1 (* h0 h0))) (/ (* (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0))))) (* (cbrt (+ h1 (* h0 h0))) (cbrt (+ h1 (* h0 h0))))) (/ (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (cbrt (+ h1 (* h0 h0)))) (/ (* (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0))))) (sqrt (+ h1 (* h0 h0)))) (/ (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (sqrt (+ h1 (* h0 h0)))) (/ (* (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0))))) 1) (/ (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (+ h1 (* h0 h0))) (/ (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (* (cbrt (+ h1 (* h0 h0))) (cbrt (+ h1 (* h0 h0))))) (/ (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (cbrt (+ h1 (* h0 h0)))) (/ (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (sqrt (+ h1 (* h0 h0)))) (/ (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (sqrt (+ h1 (* h0 h0)))) (/ (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) 1) (/ (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (+ h1 (* h0 h0))) (/ 1 (* (cbrt (+ h1 (* h0 h0))) (cbrt (+ h1 (* h0 h0))))) (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (cbrt (+ h1 (* h0 h0)))) (/ 1 (sqrt (+ h1 (* h0 h0)))) (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (sqrt (+ h1 (* h0 h0)))) (/ 1 1) (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0))) (/ (+ h1 (* h0 h0)) (* (cbrt (+ h1 (* h0 h0))) (cbrt (+ h1 (* h0 h0))))) (/ (- h1 (* h0 h0)) (cbrt (+ h1 (* h0 h0)))) (/ (+ h1 (* h0 h0)) (sqrt (+ h1 (* h0 h0)))) (/ (- h1 (* h0 h0)) (sqrt (+ h1 (* h0 h0)))) (/ (+ h1 (* h0 h0)) 1) (/ (- h1 (* h0 h0)) (+ h1 (* h0 h0))) (/ 1 (+ h1 (* h0 h0))) (/ (+ h1 (* h0 h0)) (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (* (cbrt (+ h1 (* h0 h0))) (cbrt (+ h1 (* h0 h0))))) (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (sqrt (+ h1 (* h0 h0)))) (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) 1) (/ (+ h1 (* h0 h0)) (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0))))) (/ (+ h1 (* h0 h0)) (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0))))) (/ (+ h1 (* h0 h0)) (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (/ (+ h1 (* h0 h0)) (- h1 (* h0 h0))) (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ (pow h1 3) (pow (* h0 h0) 3))) (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (* (+ h1 (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (+ (* (* (* h0 h0) (* h0 h0)) (* (* h0 h0) (* h0 h0))) (* (* h1 h1) (* (* h0 h0) (* h0 h0)))))) (* (+ h1 (* h0 h0)) (+ (* h1 h1) (* (* h0 h0) (* h0 h0)))) (/ (exp (* h1 h1)) (exp (* (* h0 h0) (* h0 h0)))) (log (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (exp (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (* (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0))))) (cbrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (* (* (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (- (pow (* h1 h1) 3) (pow (* (* h0 h0) (* h0 h0)) 3)) (+ (* (* h1 h1) (* h1 h1)) (+ (* (* (* h0 h0) (* h0 h0)) (* (* h0 h0) (* h0 h0))) (* (* h1 h1) (* (* h0 h0) (* h0 h0))))) (- (* (* h0 h0) (* h0 h0))) (- (* (* h1 h1) (* h1 h1)) (* (* (* h0 h0) (* h0 h0)) (* (* h0 h0) (* h0 h0)))) (+ (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)) (- h1 (* h0 h0)) (- (* (* h0 h0) (* h0 h0))) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (* h0 h0) (* h0 h0) (* (* h0 h0) (* h0 h0)) (* (* h0 h0) (* h0 h0)) (* h0 h0) (* h0 h0) (* h0 h0) (* (* h0 h0) (* h0 h0)) (* (* h0 h0) (* h0 h0)) (* h0 h0) (+ 1 1) (+ 1 1) (+ (+ (log h0) (log h0)) (+ (log h0) (log h0))) (+ (+ (log h0) (log h0)) (log (* h0 h0))) (+ (log (* h0 h0)) (+ (log h0) (log h0))) (+ (log (* h0 h0)) (log (* h0 h0))) (log (* (* h0 h0) (* h0 h0))) (exp (* (* h0 h0) (* h0 h0))) (* (* (* (* h0 h0) h0) (* (* h0 h0) h0)) (* (* (* h0 h0) h0) (* (* h0 h0) h0))) (* (* (* (* h0 h0) h0) (* (* h0 h0) h0)) (* (* (* h0 h0) (* h0 h0)) (* h0 h0))) (* (* (* (* h0 h0) (* h0 h0)) (* h0 h0)) (* (* (* h0 h0) h0) (* (* h0 h0) h0))) (* (* (* (* h0 h0) (* h0 h0)) (* h0 h0)) (* (* (* h0 h0) (* h0 h0)) (* h0 h0))) (* (cbrt (* (* h0 h0) (* h0 h0))) (cbrt (* (* h0 h0) (* h0 h0)))) (cbrt (* (* h0 h0) (* h0 h0))) (* (* (* (* h0 h0) (* h0 h0)) (* (* h0 h0) (* h0 h0))) (* (* h0 h0) (* h0 h0))) (sqrt (* (* h0 h0) (* h0 h0))) (sqrt (* (* h0 h0) (* h0 h0))) (* h0 h0) (* h0 h0) (* h0 h0) (* h0 h0) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 2) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 (* 2 1)) (* (* h0 h0) h0) (* h0 (* h0 h0)) (- h1 (pow h0 2)) (- h1 (pow h0 2)) (- h1 (pow h0 2)) (pow h1 2) (- (pow h1 2) (pow h0 4)) (- (pow h1 2) (pow h0 4)) (pow h0 4) (pow h0 4) (pow h0 4) 2.300 * * * [progress]: adding candidates to table 2.472 * [progress]: [Phase 3 of 3] Extracting. 2.472 * * [regime]: Finding splitpoints for: (# #) 2.472 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 2.472 * * * * [regimes]: Trying to branch on (* y y) from (# #) 2.486 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# #) 2.498 * * * * [regimes]: Trying to branch on y from (# #) 2.509 * * * * [regimes]: Trying to branch on x from (# #) 2.521 * * * [regime]: Found split indices: #