34.225 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.033 * [simplify]: Sending expressions to egg_math: (sqrt (+ (* h1 h1) h0)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.064 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [backup-simplify]: Simplify x into x 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.064 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.064 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.064 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.065 * [backup-simplify]: Simplify (+ 0 1) into 1 0.065 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (+ 0 y) into y 0.065 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [backup-simplify]: Simplify (+ 0 y) into y 0.066 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.066 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (sqrt 0) into 0 0.067 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.068 * [backup-simplify]: Simplify (* 1 1) into 1 0.068 * [backup-simplify]: Simplify (+ 1 0) into 1 0.068 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.068 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.069 * [taylor]: Taking taylor expansion of 1/2 in y 0.069 * [backup-simplify]: Simplify 1/2 into 1/2 0.069 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [backup-simplify]: Simplify (sqrt 0) into 0 0.070 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.078 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.078 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.078 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.080 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.080 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.081 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [backup-simplify]: Simplify x into x 0.081 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.081 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify (+ 0 1) into 1 0.082 * [backup-simplify]: Simplify (sqrt 0) into 0 0.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (sqrt 1) into 1 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 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 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.087 * [backup-simplify]: Simplify (+ 1 0) into 1 0.087 * [backup-simplify]: Simplify (sqrt 1) into 1 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.088 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.090 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.090 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.090 * [taylor]: Taking taylor expansion of 1/2 in y 0.090 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 0.091 * [backup-simplify]: Simplify 1/2 into 1/2 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.097 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of -1/8 in y 0.097 * [backup-simplify]: Simplify -1/8 into -1/8 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.099 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.099 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.099 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [backup-simplify]: Simplify x into x 0.099 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.099 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify (- 1) into -1 0.100 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.100 * [backup-simplify]: Simplify (sqrt 0) into 0 0.101 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.101 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [backup-simplify]: Simplify y into y 0.102 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (sqrt 1) into 1 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.104 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [backup-simplify]: Simplify (sqrt 1) into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.106 * [taylor]: Taking taylor expansion of 1 in y 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.108 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.108 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.108 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.108 * [taylor]: Taking taylor expansion of -1/2 in y 0.108 * [backup-simplify]: Simplify -1/2 into -1/2 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.109 * [backup-simplify]: Simplify -1/2 into -1/2 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.114 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of -1/8 in y 0.114 * [backup-simplify]: Simplify -1/8 into -1/8 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.116 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.116 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.116 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [backup-simplify]: Simplify x into x 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (+ 0 y) into y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [taylor]: Taking taylor expansion of 1 in y 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.118 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.118 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [backup-simplify]: Simplify x into x 0.118 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.118 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [taylor]: Taking taylor expansion of 1 in y 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.127 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.128 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [backup-simplify]: Simplify x into x 0.128 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.128 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [taylor]: Taking taylor expansion of 1 in y 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.132 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (- 1) into -1 0.133 * [backup-simplify]: Simplify -1 into -1 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.137 * * * [progress]: simplifying candidates 0.138 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.138 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) h0))) (exp (sqrt (+ (* h1 h1) h0))) (* (cbrt (sqrt (+ (* h1 h1) h0))) (cbrt (sqrt (+ (* h1 h1) h0)))) (cbrt (sqrt (+ (* h1 h1) h0))) (* (* (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0))) (sqrt (+ (* h1 h1) h0))) (sqrt (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0)))) (sqrt (cbrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt 1) (sqrt (+ (* h1 h1) h0)) (sqrt (+ (pow (* h1 h1) 3) (pow h0 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0)))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0))) (sqrt (- (* h1 h1) h0)) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (* (exp (* h1 h1)) (exp h0)) (log (+ (* h1 h1) h0)) (exp (+ (* h1 h1) h0)) (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0))) (cbrt (+ (* h1 h1) h0)) (* (* (+ (* h1 h1) h0) (+ (* h1 h1) h0)) (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0)) (+ (pow (* h1 h1) 3) (pow h0 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0))) (- (* (* h1 h1) (* h1 h1)) (* h0 h0)) (- (* h1 h1) h0) (- (+ (* h2 (pow h1 2)) (- (+ (* h2 (pow h0 2)) (- (* h2 h0)))))) (+ h1 (* 1/2 (/ h0 h1))) (- (+ h1 (* 1/2 (/ h0 h1)))) (+ (pow h1 2) h0) (+ (pow h1 2) h0) (+ (pow h1 2) h0) 0.200 * * * [progress]: adding candidates to table 0.276 * * [progress]: iteration 2 / 4 0.276 * * * [progress]: picking best candidate 0.287 * * * * [pick]: Picked # 0.287 * * * [progress]: localizing error 0.297 * * * [progress]: generating rewritten candidates 0.297 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.303 * * * [progress]: generating series expansions 0.303 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.304 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 0.304 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [backup-simplify]: Simplify x into x 0.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.304 * [taylor]: Taking taylor expansion of 1/2 in y 0.304 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [taylor]: Taking taylor expansion of (/ y x) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [backup-simplify]: Simplify x into x 0.304 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.304 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.304 * [taylor]: Taking taylor expansion of 1/2 in x 0.304 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [taylor]: Taking taylor expansion of (/ y x) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [backup-simplify]: Simplify y into y 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ y 1) into y 0.304 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.304 * [taylor]: Taking taylor expansion of 1/2 in x 0.304 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [taylor]: Taking taylor expansion of (/ y x) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [backup-simplify]: Simplify y into y 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ y 1) into y 0.304 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.305 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 0.305 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.305 * [taylor]: Taking taylor expansion of 1/2 in y 0.305 * [backup-simplify]: Simplify 1/2 into 1/2 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.307 * [backup-simplify]: Simplify 1/2 into 1/2 0.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 0.308 * [backup-simplify]: Simplify (+ 1 0) into 1 0.308 * [taylor]: Taking taylor expansion of 1 in y 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 0.312 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 0.312 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.312 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.312 * [taylor]: Taking taylor expansion of 1/2 in y 0.312 * [backup-simplify]: Simplify 1/2 into 1/2 0.313 * [taylor]: Taking taylor expansion of (/ x y) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [backup-simplify]: Simplify x into x 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ x 1) into x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [backup-simplify]: Simplify x into x 0.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.313 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.313 * [taylor]: Taking taylor expansion of 1/2 in x 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.313 * [taylor]: Taking taylor expansion of (/ x y) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [backup-simplify]: Simplify y into y 0.313 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.313 * [taylor]: Taking taylor expansion of 1/2 in x 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.313 * [taylor]: Taking taylor expansion of (/ x y) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [backup-simplify]: Simplify y into y 0.313 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [backup-simplify]: Simplify (+ 0 1) into 1 0.314 * [taylor]: Taking taylor expansion of 1 in y 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 0.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.315 * [taylor]: Taking taylor expansion of 1/2 in y 0.315 * [backup-simplify]: Simplify 1/2 into 1/2 0.315 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.316 * [backup-simplify]: Simplify 1/2 into 1/2 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.320 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 0.320 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.320 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.320 * [taylor]: Taking taylor expansion of 1/2 in y 0.320 * [backup-simplify]: Simplify 1/2 into 1/2 0.320 * [taylor]: Taking taylor expansion of (/ x y) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [backup-simplify]: Simplify x into x 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ x 1) into x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [backup-simplify]: Simplify x into x 0.320 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.320 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.320 * [taylor]: Taking taylor expansion of 1/2 in x 0.320 * [backup-simplify]: Simplify 1/2 into 1/2 0.320 * [taylor]: Taking taylor expansion of (/ x y) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [backup-simplify]: Simplify y into y 0.321 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.321 * [taylor]: Taking taylor expansion of 1/2 in x 0.321 * [backup-simplify]: Simplify 1/2 into 1/2 0.321 * [taylor]: Taking taylor expansion of (/ x y) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [backup-simplify]: Simplify y into y 0.321 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify (- 1) into -1 0.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.322 * [taylor]: Taking taylor expansion of -1 in y 0.322 * [backup-simplify]: Simplify -1 into -1 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify -1 into -1 0.323 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 0.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.324 * [taylor]: Taking taylor expansion of 1/2 in y 0.324 * [backup-simplify]: Simplify 1/2 into 1/2 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.324 * [backup-simplify]: Simplify 1/2 into 1/2 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 0.328 * * * [progress]: simplifying candidates 0.329 * [simplify]: Simplifying: (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.329 * [simplify]: Sending expressions to egg_math: (* (exp h0) (exp (* 1/2 (/ h1 h0)))) (log (+ h0 (* 1/2 (/ h1 h0)))) (exp (+ h0 (* 1/2 (/ h1 h0)))) (* (cbrt (+ h0 (* 1/2 (/ h1 h0)))) (cbrt (+ h0 (* 1/2 (/ h1 h0))))) (cbrt (+ h0 (* 1/2 (/ h1 h0)))) (* (* (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0)))) (+ h0 (* 1/2 (/ h1 h0)))) (sqrt (+ h0 (* 1/2 (/ h1 h0)))) (sqrt (+ h0 (* 1/2 (/ h1 h0)))) (+ (pow h0 3) (pow (* 1/2 (/ h1 h0)) 3)) (+ (* h0 h0) (- (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0))) (* h0 (* 1/2 (/ h1 h0))))) (- (* h0 h0) (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0)))) (- h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) 0.418 * * * [progress]: adding candidates to table 0.439 * * [progress]: iteration 3 / 4 0.440 * * * [progress]: picking best candidate 0.443 * * * * [pick]: Picked # 0.443 * * * [progress]: localizing error 0.454 * * * [progress]: generating rewritten candidates 0.454 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.461 * * * [progress]: generating series expansions 0.461 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.461 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 0.461 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.461 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [backup-simplify]: Simplify x into x 0.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.461 * [taylor]: Taking taylor expansion of 1/2 in y 0.461 * [backup-simplify]: Simplify 1/2 into 1/2 0.461 * [taylor]: Taking taylor expansion of (/ y x) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [backup-simplify]: Simplify x into x 0.461 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.461 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.461 * [taylor]: Taking taylor expansion of 1/2 in x 0.461 * [backup-simplify]: Simplify 1/2 into 1/2 0.461 * [taylor]: Taking taylor expansion of (/ y x) in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [backup-simplify]: Simplify y into y 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ y 1) into y 0.461 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.462 * [taylor]: Taking taylor expansion of 1/2 in x 0.462 * [backup-simplify]: Simplify 1/2 into 1/2 0.462 * [taylor]: Taking taylor expansion of (/ y x) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [backup-simplify]: Simplify y into y 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ y 1) into y 0.462 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.462 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 0.462 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.462 * [taylor]: Taking taylor expansion of 1/2 in y 0.462 * [backup-simplify]: Simplify 1/2 into 1/2 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.464 * [backup-simplify]: Simplify 1/2 into 1/2 0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 0.466 * [backup-simplify]: Simplify (+ 1 0) into 1 0.466 * [taylor]: Taking taylor expansion of 1 in y 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 0.469 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 0.469 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.469 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.469 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.469 * [taylor]: Taking taylor expansion of 1/2 in y 0.469 * [backup-simplify]: Simplify 1/2 into 1/2 0.469 * [taylor]: Taking taylor expansion of (/ x y) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [backup-simplify]: Simplify x into x 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ x 1) into x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [backup-simplify]: Simplify x into x 0.470 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.470 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.470 * [taylor]: Taking taylor expansion of 1/2 in x 0.470 * [backup-simplify]: Simplify 1/2 into 1/2 0.470 * [taylor]: Taking taylor expansion of (/ x y) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [backup-simplify]: Simplify y into y 0.470 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.470 * [taylor]: Taking taylor expansion of 1/2 in x 0.470 * [backup-simplify]: Simplify 1/2 into 1/2 0.470 * [taylor]: Taking taylor expansion of (/ x y) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [backup-simplify]: Simplify y into y 0.470 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify (+ 0 1) into 1 0.471 * [taylor]: Taking taylor expansion of 1 in y 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 0.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.472 * [taylor]: Taking taylor expansion of 1/2 in y 0.472 * [backup-simplify]: Simplify 1/2 into 1/2 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.473 * [backup-simplify]: Simplify 1/2 into 1/2 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.477 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 0.477 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.477 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.477 * [taylor]: Taking taylor expansion of 1/2 in y 0.477 * [backup-simplify]: Simplify 1/2 into 1/2 0.477 * [taylor]: Taking taylor expansion of (/ x y) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [backup-simplify]: Simplify x into x 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ x 1) into x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [backup-simplify]: Simplify x into x 0.477 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.477 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.477 * [taylor]: Taking taylor expansion of 1/2 in x 0.477 * [backup-simplify]: Simplify 1/2 into 1/2 0.477 * [taylor]: Taking taylor expansion of (/ x y) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [backup-simplify]: Simplify y into y 0.478 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.478 * [taylor]: Taking taylor expansion of 1/2 in x 0.478 * [backup-simplify]: Simplify 1/2 into 1/2 0.478 * [taylor]: Taking taylor expansion of (/ x y) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [backup-simplify]: Simplify y into y 0.478 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [backup-simplify]: Simplify (- 1) into -1 0.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.479 * [taylor]: Taking taylor expansion of -1 in y 0.479 * [backup-simplify]: Simplify -1 into -1 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 0.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.481 * [taylor]: Taking taylor expansion of 1/2 in y 0.481 * [backup-simplify]: Simplify 1/2 into 1/2 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.481 * [backup-simplify]: Simplify 1/2 into 1/2 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 0.486 * * * [progress]: simplifying candidates 0.486 * [simplify]: Simplifying: (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.486 * [simplify]: Sending expressions to egg_math: (* (exp h0) (exp (* 1/2 (/ h1 h0)))) (log (+ h0 (* 1/2 (/ h1 h0)))) (exp (+ h0 (* 1/2 (/ h1 h0)))) (* (cbrt (+ h0 (* 1/2 (/ h1 h0)))) (cbrt (+ h0 (* 1/2 (/ h1 h0))))) (cbrt (+ h0 (* 1/2 (/ h1 h0)))) (* (* (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0)))) (+ h0 (* 1/2 (/ h1 h0)))) (sqrt (+ h0 (* 1/2 (/ h1 h0)))) (sqrt (+ h0 (* 1/2 (/ h1 h0)))) (+ (pow h0 3) (pow (* 1/2 (/ h1 h0)) 3)) (+ (* h0 h0) (- (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0))) (* h0 (* 1/2 (/ h1 h0))))) (- (* h0 h0) (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0)))) (- h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) 0.577 * * * [progress]: adding candidates to table 0.597 * * [progress]: iteration 4 / 4 0.598 * * * [progress]: picking best candidate 0.600 * * * * [pick]: Picked # 0.600 * * * [progress]: localizing error 0.614 * * * [progress]: generating rewritten candidates 0.614 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.681 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.728 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.747 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.771 * * * [progress]: generating series expansions 0.771 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.772 * [backup-simplify]: Simplify (/ (- (pow x 4) (pow y 2)) (- (* x x) y)) into (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) 0.772 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in (x y) around 0 0.772 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.772 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.772 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.772 * [taylor]: Taking taylor expansion of x in y 0.772 * [backup-simplify]: Simplify x into x 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.772 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.772 * [taylor]: Taking taylor expansion of x in y 0.772 * [backup-simplify]: Simplify x into x 0.772 * [taylor]: Taking taylor expansion of y in y 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.772 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.772 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 0.772 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.773 * [backup-simplify]: Simplify (- 0) into 0 0.773 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.773 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 0.773 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.773 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.773 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [backup-simplify]: Simplify y into y 0.774 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [backup-simplify]: Simplify y into y 0.774 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.774 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.774 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.774 * [backup-simplify]: Simplify (- y) into (- y) 0.774 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.774 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 0.774 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.774 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.774 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [backup-simplify]: Simplify y into y 0.775 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [backup-simplify]: Simplify y into y 0.775 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.775 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.775 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.775 * [backup-simplify]: Simplify (- y) into (- y) 0.775 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.775 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 0.775 * [taylor]: Taking taylor expansion of y in y 0.775 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.776 * [backup-simplify]: Simplify (- 0) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (- 0) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 0.777 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.778 * [backup-simplify]: Simplify (- 0) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (* 1 1) into 1 0.779 * [backup-simplify]: Simplify (- 0) into 0 0.779 * [backup-simplify]: Simplify (+ 1 0) into 1 0.779 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 1 (- y))) (* 0 (/ 0 (- y))))) into 1 0.780 * [taylor]: Taking taylor expansion of 1 in y 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.780 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.781 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))) (* 0 (/ 1 (- y))) (* 1 (/ 0 (- y))))) into 0 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.782 * [backup-simplify]: Simplify (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 2)) (- (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) 0.782 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.782 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.782 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.782 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.782 * [taylor]: Taking taylor expansion of x in y 0.782 * [backup-simplify]: Simplify x into x 0.782 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.782 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.783 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (* 1 1) into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.783 * [taylor]: Taking taylor expansion of x in y 0.783 * [backup-simplify]: Simplify x into x 0.783 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.783 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.783 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify (/ 1 1) into 1 0.784 * [backup-simplify]: Simplify (- 1) into -1 0.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.784 * [backup-simplify]: Simplify (- 1) into -1 0.785 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.785 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.785 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.785 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.785 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (* 1 1) into 1 0.785 * [backup-simplify]: Simplify (* 1 1) into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.786 * [backup-simplify]: Simplify y into y 0.786 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.786 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.786 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (* 1 1) into 1 0.787 * [backup-simplify]: Simplify (/ 1 1) into 1 0.787 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.787 * [taylor]: Taking taylor expansion of y in x 0.787 * [backup-simplify]: Simplify y into y 0.787 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.787 * [backup-simplify]: Simplify (+ 1 0) into 1 0.787 * [backup-simplify]: Simplify (+ 1 0) into 1 0.787 * [backup-simplify]: Simplify (/ 1 1) into 1 0.787 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.787 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.788 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (* 1 1) into 1 0.788 * [backup-simplify]: Simplify (* 1 1) into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.788 * [backup-simplify]: Simplify y into y 0.788 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.788 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.788 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (* 1 1) into 1 0.789 * [backup-simplify]: Simplify (/ 1 1) into 1 0.789 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [backup-simplify]: Simplify y into y 0.789 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.789 * [backup-simplify]: Simplify (+ 1 0) into 1 0.790 * [backup-simplify]: Simplify (+ 1 0) into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of 1 in y 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.796 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into (/ 1 y) 0.796 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.800 * [backup-simplify]: Simplify (- 0) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 y)) 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.804 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.805 * [backup-simplify]: Simplify (- 0) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into 0 0.807 * [taylor]: Taking taylor expansion of 0 in y 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.808 * [backup-simplify]: Simplify (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 2)) (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) 0.808 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.808 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.808 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.808 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.808 * [taylor]: Taking taylor expansion of x in y 0.808 * [backup-simplify]: Simplify x into x 0.808 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.808 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.808 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (* 1 1) into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.809 * [taylor]: Taking taylor expansion of x in y 0.809 * [backup-simplify]: Simplify x into x 0.809 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.810 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.810 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (/ 1 1) into 1 0.810 * [backup-simplify]: Simplify (- 1) into -1 0.811 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.811 * [backup-simplify]: Simplify (+ 0 1) into 1 0.811 * [backup-simplify]: Simplify (/ -1 1) into -1 0.811 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.812 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.812 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (* 1 1) into 1 0.812 * [backup-simplify]: Simplify (* 1 1) into 1 0.813 * [backup-simplify]: Simplify (/ 1 1) into 1 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.813 * [backup-simplify]: Simplify y into y 0.813 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.813 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (* 1 1) into 1 0.814 * [backup-simplify]: Simplify (/ 1 1) into 1 0.814 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [backup-simplify]: Simplify y into y 0.814 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.814 * [backup-simplify]: Simplify (+ 1 0) into 1 0.815 * [backup-simplify]: Simplify (+ 1 0) into 1 0.815 * [backup-simplify]: Simplify (/ 1 1) into 1 0.815 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.815 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.815 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (* 1 1) into 1 0.816 * [backup-simplify]: Simplify (* 1 1) into 1 0.816 * [backup-simplify]: Simplify (/ 1 1) into 1 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [backup-simplify]: Simplify y into y 0.816 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.816 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (* 1 1) into 1 0.817 * [backup-simplify]: Simplify (/ 1 1) into 1 0.817 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.817 * [backup-simplify]: Simplify y into y 0.817 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.818 * [backup-simplify]: Simplify (+ 1 0) into 1 0.818 * [backup-simplify]: Simplify (+ 1 0) into 1 0.818 * [backup-simplify]: Simplify (/ 1 1) into 1 0.818 * [taylor]: Taking taylor expansion of 1 in y 0.818 * [backup-simplify]: Simplify 1 into 1 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into (- (/ 1 y)) 0.828 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.828 * [backup-simplify]: Simplify (- 1) into -1 0.828 * [backup-simplify]: Simplify -1 into -1 0.828 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 y) 1)) (* (- (/ 1 y)) (/ 0 1)))) into 0 0.835 * [taylor]: Taking taylor expansion of 0 in y 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.839 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.843 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into 0 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.843 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.844 * [backup-simplify]: Simplify (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) into (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) 0.844 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in (x y) around 0 0.844 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in y 0.844 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.844 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.844 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.844 * [taylor]: Taking taylor expansion of x in y 0.844 * [backup-simplify]: Simplify x into x 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.844 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.844 * [taylor]: Taking taylor expansion of x in y 0.844 * [backup-simplify]: Simplify x into x 0.844 * [taylor]: Taking taylor expansion of y in y 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.845 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.845 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 0.845 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.845 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.845 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 0.846 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.846 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.846 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 0.846 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.847 * [backup-simplify]: Simplify (- 1) into -1 0.847 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.847 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ -1 (pow x 2))))) into 1 0.847 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.847 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 0.848 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.848 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.848 * [backup-simplify]: Simplify y into y 0.848 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [taylor]: Taking taylor expansion of y in x 0.848 * [backup-simplify]: Simplify y into y 0.848 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.848 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.848 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.848 * [backup-simplify]: Simplify (- y) into (- y) 0.848 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.849 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 0.849 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.849 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.855 * [backup-simplify]: Simplify (- 0) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [backup-simplify]: Simplify (- 0) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 0.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.857 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 0.857 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.857 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [backup-simplify]: Simplify y into y 0.857 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [backup-simplify]: Simplify y into y 0.857 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.857 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.857 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.858 * [backup-simplify]: Simplify (- y) into (- y) 0.858 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.858 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 0.858 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.858 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.858 * [backup-simplify]: Simplify (- 0) into 0 0.858 * [backup-simplify]: Simplify (+ 0 0) into 0 0.859 * [backup-simplify]: Simplify (- 0) into 0 0.859 * [backup-simplify]: Simplify (+ 0 0) into 0 0.859 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 0.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.859 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (sqrt 0) into 0 0.861 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.862 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.862 * [backup-simplify]: Simplify (- 0) into 0 0.862 * [backup-simplify]: Simplify (+ 0 0) into 0 0.863 * [backup-simplify]: Simplify (* 1 1) into 1 0.863 * [backup-simplify]: Simplify (- 0) into 0 0.863 * [backup-simplify]: Simplify (+ 1 0) into 1 0.864 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 1 (- y))) (* 0 (/ 0 (- y))))) into 1 0.864 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.864 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.864 * [taylor]: Taking taylor expansion of 1/2 in y 0.864 * [backup-simplify]: Simplify 1/2 into 1/2 0.864 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (/ 1 1) into 1 0.865 * [backup-simplify]: Simplify (sqrt 0) into 0 0.866 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.868 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.868 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.868 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.870 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.871 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.872 * [backup-simplify]: Simplify (sqrt (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 2)) (- (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) 0.872 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 0.872 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.872 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.872 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.872 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.872 * [taylor]: Taking taylor expansion of x in y 0.872 * [backup-simplify]: Simplify x into x 0.872 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.872 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.872 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (* 1 1) into 1 0.873 * [backup-simplify]: Simplify (/ 1 1) into 1 0.873 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.873 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.873 * [taylor]: Taking taylor expansion of x in y 0.873 * [backup-simplify]: Simplify x into x 0.873 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.874 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.874 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (/ 1 1) into 1 0.874 * [backup-simplify]: Simplify (- 1) into -1 0.875 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.875 * [backup-simplify]: Simplify (- 1) into -1 0.875 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.876 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.876 * [backup-simplify]: Simplify (sqrt 0) into 0 0.877 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.877 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.877 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.877 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (* 1 1) into 1 0.878 * [backup-simplify]: Simplify (* 1 1) into 1 0.878 * [backup-simplify]: Simplify (/ 1 1) into 1 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.878 * [backup-simplify]: Simplify y into y 0.878 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.879 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.879 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (* 1 1) into 1 0.879 * [backup-simplify]: Simplify (/ 1 1) into 1 0.879 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [backup-simplify]: Simplify y into y 0.880 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.880 * [backup-simplify]: Simplify (+ 1 0) into 1 0.880 * [backup-simplify]: Simplify (+ 1 0) into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [backup-simplify]: Simplify (sqrt 1) into 1 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (+ 0 0) into 0 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ 0 0) into 0 0.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.885 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.885 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.885 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.885 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (* 1 1) into 1 0.885 * [backup-simplify]: Simplify (* 1 1) into 1 0.886 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [backup-simplify]: Simplify y into y 0.886 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.886 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.886 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (* 1 1) into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.887 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.887 * [backup-simplify]: Simplify y into y 0.887 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.887 * [backup-simplify]: Simplify (+ 1 0) into 1 0.887 * [backup-simplify]: Simplify (+ 1 0) into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.888 * [backup-simplify]: Simplify (sqrt 1) into 1 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ 0 0) into 0 0.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.891 * [taylor]: Taking taylor expansion of 1 in y 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ 0 0) into 0 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.894 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into (/ 1 y) 0.895 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.895 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.895 * [taylor]: Taking taylor expansion of 1/2 in y 0.895 * [backup-simplify]: Simplify 1/2 into 1/2 0.895 * [taylor]: Taking taylor expansion of y in y 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.896 * [backup-simplify]: Simplify 1/2 into 1/2 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.899 * [backup-simplify]: Simplify (- 0) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 y)) 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.903 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.905 * [backup-simplify]: Simplify (- 0) into 0 0.905 * [backup-simplify]: Simplify (+ 0 0) into 0 0.906 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.907 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.907 * [taylor]: Taking taylor expansion of -1/8 in y 0.907 * [backup-simplify]: Simplify -1/8 into -1/8 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.909 * [backup-simplify]: Simplify (sqrt (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 2)) (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) 0.909 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 0.909 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.909 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.909 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.909 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.909 * [taylor]: Taking taylor expansion of x in y 0.909 * [backup-simplify]: Simplify x into x 0.909 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.909 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.909 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (* 1 1) into 1 0.910 * [backup-simplify]: Simplify (/ 1 1) into 1 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [backup-simplify]: Simplify x into x 0.910 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.910 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.910 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (/ 1 1) into 1 0.911 * [backup-simplify]: Simplify (- 1) into -1 0.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.911 * [backup-simplify]: Simplify (+ 0 1) into 1 0.911 * [backup-simplify]: Simplify (/ -1 1) into -1 0.912 * [backup-simplify]: Simplify (sqrt 0) into 0 0.912 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.912 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.913 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.913 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.913 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (* 1 1) into 1 0.913 * [backup-simplify]: Simplify (* 1 1) into 1 0.913 * [backup-simplify]: Simplify (/ 1 1) into 1 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.913 * [backup-simplify]: Simplify y into y 0.913 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.914 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (* 1 1) into 1 0.914 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [backup-simplify]: Simplify y into y 0.914 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.914 * [backup-simplify]: Simplify (+ 1 0) into 1 0.915 * [backup-simplify]: Simplify (+ 1 0) into 1 0.915 * [backup-simplify]: Simplify (/ 1 1) into 1 0.915 * [backup-simplify]: Simplify (sqrt 1) into 1 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.919 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.919 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.919 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.919 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (* 1 1) into 1 0.919 * [backup-simplify]: Simplify (* 1 1) into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.920 * [backup-simplify]: Simplify y into y 0.920 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.920 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (* 1 1) into 1 0.921 * [backup-simplify]: Simplify (/ 1 1) into 1 0.921 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [backup-simplify]: Simplify y into y 0.921 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.921 * [backup-simplify]: Simplify (+ 1 0) into 1 0.921 * [backup-simplify]: Simplify (+ 1 0) into 1 0.922 * [backup-simplify]: Simplify (/ 1 1) into 1 0.922 * [backup-simplify]: Simplify (sqrt 1) into 1 0.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.925 * [taylor]: Taking taylor expansion of 1 in y 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [taylor]: Taking taylor expansion of 0 in y 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into (- (/ 1 y)) 0.932 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.932 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.932 * [taylor]: Taking taylor expansion of -1/2 in y 0.932 * [backup-simplify]: Simplify -1/2 into -1/2 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.933 * [backup-simplify]: Simplify -1/2 into -1/2 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 y) 1)) (* (- (/ 1 y)) (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.940 * [taylor]: Taking taylor expansion of 0 in y 0.940 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.944 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.948 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.949 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.949 * [taylor]: Taking taylor expansion of -1/8 in y 0.949 * [backup-simplify]: Simplify -1/8 into -1/8 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (* 1 1) into 1 0.950 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.952 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.952 * [backup-simplify]: Simplify (- (pow x 4) (pow y 2)) into (- (pow x 4) (pow y 2)) 0.952 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 0.952 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.952 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [backup-simplify]: Simplify x into x 0.952 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.952 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.952 * [backup-simplify]: Simplify y into y 0.953 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.953 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.953 * [taylor]: Taking taylor expansion of y in x 0.953 * [backup-simplify]: Simplify y into y 0.953 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.953 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.953 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.953 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.953 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.953 * [taylor]: Taking taylor expansion of y in y 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.954 * [backup-simplify]: Simplify (- 0) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.955 * [backup-simplify]: Simplify (- 0) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (* 1 1) into 1 0.956 * [backup-simplify]: Simplify (- 1) into -1 0.956 * [backup-simplify]: Simplify -1 into -1 0.957 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.957 * [backup-simplify]: Simplify (- 0) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.958 * [backup-simplify]: Simplify (- 0) into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.960 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.961 * [backup-simplify]: Simplify (+ 1 0) into 1 0.961 * [taylor]: Taking taylor expansion of 1 in y 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.962 * [backup-simplify]: Simplify (- 0) into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.971 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.971 * [backup-simplify]: Simplify (- 0) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [taylor]: Taking taylor expansion of 0 in y 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 4)) (* -1 (pow (* y 1) 2))) into (- (pow x 4) (pow y 2)) 0.973 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4) (pow (/ 1 y) 2)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 0.973 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.973 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.973 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.973 * [taylor]: Taking taylor expansion of x in y 0.973 * [backup-simplify]: Simplify x into x 0.973 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.973 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.973 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.974 * [backup-simplify]: Simplify (* 1 1) into 1 0.974 * [backup-simplify]: Simplify (/ 1 1) into 1 0.974 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.974 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (* 1 1) into 1 0.975 * [backup-simplify]: Simplify (* 1 1) into 1 0.975 * [backup-simplify]: Simplify (/ 1 1) into 1 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.975 * [taylor]: Taking taylor expansion of y in x 0.975 * [backup-simplify]: Simplify y into y 0.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.976 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.976 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.976 * [backup-simplify]: Simplify (* 1 1) into 1 0.976 * [backup-simplify]: Simplify (* 1 1) into 1 0.977 * [backup-simplify]: Simplify (/ 1 1) into 1 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.977 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.977 * [taylor]: Taking taylor expansion of y in x 0.977 * [backup-simplify]: Simplify y into y 0.977 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.977 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.977 * [backup-simplify]: Simplify (+ 1 0) into 1 0.978 * [taylor]: Taking taylor expansion of 1 in y 0.978 * [backup-simplify]: Simplify 1 into 1 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [taylor]: Taking taylor expansion of 0 in y 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [taylor]: Taking taylor expansion of 0 in y 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.989 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.989 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (* 1 1) into 1 0.990 * [backup-simplify]: Simplify (/ 1 1) into 1 0.990 * [backup-simplify]: Simplify (- 1) into -1 0.990 * [backup-simplify]: Simplify -1 into -1 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.994 * [backup-simplify]: Simplify (- 0) into 0 0.994 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.994 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (- 0) into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4))) into (- (pow x 4) (pow y 2)) 0.997 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 2)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 0.997 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.997 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.997 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.997 * [taylor]: Taking taylor expansion of x in y 0.997 * [backup-simplify]: Simplify x into x 0.997 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.997 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.997 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (* 1 1) into 1 0.998 * [backup-simplify]: Simplify (/ 1 1) into 1 0.998 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.998 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (* 1 1) into 1 0.999 * [backup-simplify]: Simplify (* 1 1) into 1 0.999 * [backup-simplify]: Simplify (/ 1 1) into 1 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.999 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.999 * [taylor]: Taking taylor expansion of y in x 0.999 * [backup-simplify]: Simplify y into y 0.999 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.000 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.000 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.000 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.001 * [backup-simplify]: Simplify y into y 1.001 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.001 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.001 * [backup-simplify]: Simplify (+ 1 0) into 1 1.001 * [taylor]: Taking taylor expansion of 1 in y 1.001 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [taylor]: Taking taylor expansion of 0 in y 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (+ 0 0) into 0 1.006 * [taylor]: Taking taylor expansion of 0 in y 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [taylor]: Taking taylor expansion of 0 in y 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.012 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.012 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.013 * [backup-simplify]: Simplify (* 1 1) into 1 1.013 * [backup-simplify]: Simplify (/ 1 1) into 1 1.013 * [backup-simplify]: Simplify (- 1) into -1 1.013 * [backup-simplify]: Simplify -1 into -1 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.017 * [backup-simplify]: Simplify (- 0) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.018 * [taylor]: Taking taylor expansion of 0 in y 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.019 * [backup-simplify]: Simplify (- 0) into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4))) into (- (pow x 4) (pow y 2)) 1.020 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.020 * [backup-simplify]: Simplify (- (* x x) y) into (- (pow x 2) y) 1.020 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 1.020 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.020 * [taylor]: Taking taylor expansion of x in y 1.020 * [backup-simplify]: Simplify x into x 1.020 * [taylor]: Taking taylor expansion of y in y 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of y in x 1.020 * [backup-simplify]: Simplify y into y 1.020 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.021 * [taylor]: Taking taylor expansion of y in x 1.021 * [backup-simplify]: Simplify y into y 1.021 * [backup-simplify]: Simplify (- y) into (- y) 1.021 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.021 * [taylor]: Taking taylor expansion of (- y) in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.021 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [taylor]: Taking taylor expansion of 0 in y 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (- 1) into -1 1.023 * [backup-simplify]: Simplify -1 into -1 1.023 * [backup-simplify]: Simplify (* 1 1) into 1 1.023 * [backup-simplify]: Simplify (- 0) into 0 1.024 * [backup-simplify]: Simplify (+ 1 0) into 1 1.024 * [taylor]: Taking taylor expansion of 1 in y 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.025 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.025 * [taylor]: Taking taylor expansion of 0 in y 1.025 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (- 0) into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 1.026 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 1.026 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.026 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.027 * [taylor]: Taking taylor expansion of x in y 1.027 * [backup-simplify]: Simplify x into x 1.027 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.027 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.027 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (* 1 1) into 1 1.028 * [backup-simplify]: Simplify (/ 1 1) into 1 1.028 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.028 * [backup-simplify]: Simplify y into y 1.028 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.028 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (* 1 1) into 1 1.029 * [backup-simplify]: Simplify (/ 1 1) into 1 1.029 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.029 * [taylor]: Taking taylor expansion of y in x 1.029 * [backup-simplify]: Simplify y into y 1.029 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.030 * [backup-simplify]: Simplify (+ 1 0) into 1 1.030 * [taylor]: Taking taylor expansion of 1 in y 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.031 * [taylor]: Taking taylor expansion of 0 in y 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.033 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.033 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (/ 1 1) into 1 1.034 * [backup-simplify]: Simplify (- 1) into -1 1.034 * [backup-simplify]: Simplify -1 into -1 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.036 * [backup-simplify]: Simplify (- 0) into 0 1.036 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [taylor]: Taking taylor expansion of 0 in y 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (- 0) into 0 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.040 * [backup-simplify]: Simplify (- 0) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [taylor]: Taking taylor expansion of 0 in y 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 1.041 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 1.041 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.041 * [taylor]: Taking taylor expansion of x in y 1.041 * [backup-simplify]: Simplify x into x 1.041 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.041 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (/ 1 1) into 1 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (* 1 1) into 1 1.042 * [backup-simplify]: Simplify (/ 1 1) into 1 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [backup-simplify]: Simplify y into y 1.042 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (* 1 1) into 1 1.043 * [backup-simplify]: Simplify (/ 1 1) into 1 1.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.043 * [backup-simplify]: Simplify y into y 1.043 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.043 * [backup-simplify]: Simplify (+ 1 0) into 1 1.043 * [taylor]: Taking taylor expansion of 1 in y 1.044 * [backup-simplify]: Simplify 1 into 1 1.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.047 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify (/ 1 1) into 1 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [taylor]: Taking taylor expansion of 0 in y 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [taylor]: Taking taylor expansion of 0 in y 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 1.053 * * * [progress]: simplifying candidates 1.059 * [simplify]: Simplifying: (- (log (- (pow x 4) (pow y 2))) (log (- (* x x) y))) (log (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (exp (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (/ (* (* (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2))) (- (pow x 4) (pow y 2))) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y))) (* (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))) (cbrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (* (* (/ (- (pow x 4) (pow y 2)) (- (* x x) y)) (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) (- (- (pow x 4) (pow y 2))) (- (- (* x x) y)) (/ (pow x 4) (- (* x x) y)) (/ (pow y 2) (- (* x x) y)) (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y))) (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (sqrt (- (* x x) y))) (/ (cbrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y))) (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) 1) (/ (cbrt (- (pow x 4) (pow y 2))) (- (* x x) y)) (/ (* (cbrt (- (pow x 4) (pow y 2))) (cbrt (- (pow x 4) (pow y 2)))) (+ x (sqrt y))) (/ (cbrt (- (pow x 4) (pow y 2))) (- x (sqrt y))) (/ (sqrt (- (pow x 4) (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (sqrt (- (pow x 4) (pow y 2))) (cbrt (- (* x x) y))) (/ (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y))) (/ (sqrt (- (pow x 4) (pow y 2))) (sqrt (- (* x x) y))) (/ (sqrt (- (pow x 4) (pow y 2))) 1) (/ (sqrt (- (pow x 4) (pow y 2))) (- (* x x) y)) (/ (sqrt (- (pow x 4) (pow y 2))) (+ x (sqrt y))) (/ (sqrt (- (pow x 4) (pow y 2))) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) (/ 1 1) (/ (- (pow x 4) (pow y 2)) (- (* x x) y)) (/ 1 (+ x (sqrt y))) (/ (- (pow x 4) (pow y 2)) (- x (sqrt y))) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (cbrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (sqrt (- (* x x) y))) (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (sqrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) 1) (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (- (* x x) y)) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (+ x (sqrt y))) (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (- x (sqrt y))) (/ (+ (pow (sqrt x) 4) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow (sqrt x) 4) y) (cbrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) y) (sqrt (- (* x x) y))) (/ (- (pow (sqrt x) 4) y) (sqrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) y) 1) (/ (- (pow (sqrt x) 4) y) (- (* x x) y)) (/ (+ (pow (sqrt x) 4) y) (+ x (sqrt y))) (/ (- (pow (sqrt x) 4) y) (- x (sqrt y))) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (cbrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (sqrt (- (* x x) y))) (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (sqrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) 1) (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (- (* x x) y)) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (+ x (sqrt y))) (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (- x (sqrt y))) (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (cbrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (sqrt (- (* x x) y))) (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (sqrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) 1) (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (- (* x x) y)) (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (+ x (sqrt y))) (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (- x (sqrt y))) (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (cbrt (- (* x x) y))) (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) (sqrt (- (* x x) y))) (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (sqrt (- (* x x) y))) (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) 1) (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (- (* x x) y)) (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) (+ x (sqrt y))) (/ (- (sqrt (pow x 4)) (pow (sqrt y) 2)) (- x (sqrt y))) (/ (+ (sqrt (pow x 4)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (sqrt 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(pow h0 2)) (- (pow h1 4) (pow h0 2)) (- (pow h1 2) h0) (- (pow h1 2) h0) (- (pow h1 2) h0) 1.129 * * * [progress]: adding candidates to table 1.849 * [progress]: [Phase 3 of 3] Extracting. 1.849 * * [regime]: Finding splitpoints for: (# # # # #) 1.851 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.851 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.880 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # # #) 1.918 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # # #) 1.966 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.008 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.051 * * * [regime]: Found split indices: #