28.260 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.018 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.018 * * [simplify]: Extracting # 1 : cost 2 inf + 0 0.018 * * [simplify]: Extracting # 2 : cost 4 inf + 0 0.018 * * [simplify]: Extracting # 3 : cost 4 inf + 1 0.018 * * [simplify]: Extracting # 4 : cost 3 inf + 2 0.018 * * [simplify]: Extracting # 5 : cost 0 inf + 247 0.018 * * [simplify]: iteration 0 : 5 enodes (cost 122 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 inf + 247 0.019 * * [simplify]: iteration 1 : 6 enodes (cost 122 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 inf + 247 0.020 * * [simplify]: iteration done: 6 enodes (cost 122 ) 0.020 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.054 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.067 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.067 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [backup-simplify]: Simplify x into x 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.068 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.068 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.068 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.068 * [backup-simplify]: Simplify (+ 0 1) into 1 0.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [backup-simplify]: Simplify y into y 0.069 * [backup-simplify]: Simplify (+ 0 y) into y 0.069 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [backup-simplify]: Simplify (+ 0 y) into y 0.070 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.071 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (sqrt 0) into 0 0.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (+ 1 0) into 1 0.075 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.075 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.075 * [taylor]: Taking taylor expansion of 1/2 in y 0.075 * [backup-simplify]: Simplify 1/2 into 1/2 0.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [backup-simplify]: Simplify (sqrt 0) into 0 0.077 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.079 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.079 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.079 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.082 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.083 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 0.084 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.084 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [backup-simplify]: Simplify x into x 0.084 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.084 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [backup-simplify]: Simplify (+ 0 1) into 1 0.086 * [backup-simplify]: Simplify (sqrt 0) into 0 0.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.089 * [backup-simplify]: Simplify (+ 1 0) into 1 0.089 * [backup-simplify]: Simplify (sqrt 1) into 1 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [backup-simplify]: Simplify y into y 0.093 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (sqrt 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.096 * [taylor]: Taking taylor expansion of 1 in y 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.099 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.099 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.099 * [taylor]: Taking taylor expansion of 1/2 in y 0.099 * [backup-simplify]: Simplify 1/2 into 1/2 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.100 * [backup-simplify]: Simplify 1/2 into 1/2 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.117 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of -1/8 in y 0.117 * [backup-simplify]: Simplify -1/8 into -1/8 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.121 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.121 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.121 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [backup-simplify]: Simplify x into x 0.121 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (- 1) into -1 0.123 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.123 * [backup-simplify]: Simplify (sqrt 0) into 0 0.124 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.124 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.125 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.126 * [backup-simplify]: Simplify (sqrt 1) into 1 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.129 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 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 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [backup-simplify]: Simplify y into y 0.130 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.131 * [backup-simplify]: Simplify (+ 1 0) into 1 0.131 * [backup-simplify]: Simplify (sqrt 1) into 1 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.133 * [taylor]: Taking taylor expansion of 1 in y 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.135 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.137 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.137 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.137 * [taylor]: Taking taylor expansion of -1/2 in y 0.137 * [backup-simplify]: Simplify -1/2 into -1/2 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.137 * [backup-simplify]: Simplify -1/2 into -1/2 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.146 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of -1/8 in y 0.146 * [backup-simplify]: Simplify -1/8 into -1/8 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.149 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.149 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.149 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [backup-simplify]: Simplify x into x 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (+ 0 y) into y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.153 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.153 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [backup-simplify]: Simplify x into x 0.153 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.153 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.155 * [taylor]: Taking taylor expansion of 1 in y 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.161 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.161 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [backup-simplify]: Simplify x into x 0.161 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.162 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [taylor]: Taking taylor expansion of 1 in y 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.166 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [backup-simplify]: Simplify (- 1) into -1 0.167 * [backup-simplify]: Simplify -1 into -1 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.171 * * * [progress]: simplifying candidates 0.172 * [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 y 2)) (- (+ (* +nan.0 (pow x 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) 0.172 * * [simplify]: Extracting # 0 : cost 29 inf + 0 0.172 * * [simplify]: Extracting # 1 : cost 47 inf + 0 0.172 * * [simplify]: Extracting # 2 : cost 45 inf + 268 0.173 * * [simplify]: Extracting # 3 : cost 21 inf + 4129 0.173 * * [simplify]: Extracting # 4 : cost 11 inf + 6735 0.174 * * [simplify]: Extracting # 5 : cost 7 inf + 7888 0.174 * * [simplify]: Extracting # 6 : cost 5 inf + 8093 0.175 * * [simplify]: Extracting # 7 : cost 4 inf + 8175 0.176 * * [simplify]: Extracting # 8 : cost 2 inf + 8963 0.176 * * [simplify]: Extracting # 9 : cost 1 inf + 9667 0.177 * * [simplify]: Extracting # 10 : cost 0 inf + 10411 0.178 * * [simplify]: iteration 0 : 59 enodes (cost 7550 ) 0.198 * * [simplify]: Extracting # 0 : cost 0 inf + 10411 0.200 * * [simplify]: Extracting # 1 : cost 37 inf + 9289 0.203 * * [simplify]: Extracting # 2 : cost 4 inf + 11846 0.206 * * [simplify]: Extracting # 3 : cost 0 inf + 11577 0.209 * * [simplify]: Extracting # 4 : cost 0 inf + 11497 0.211 * * [simplify]: iteration 1 : 154 enodes (cost 5783 ) 0.298 * * [simplify]: Extracting # 0 : cost 0 inf + 11497 0.300 * * [simplify]: Extracting # 1 : cost 217 inf + 9799 0.306 * * [simplify]: Extracting # 2 : cost 7 inf + 32457 0.312 * * [simplify]: Extracting # 3 : cost 1 inf + 33398 0.318 * * [simplify]: Extracting # 4 : cost 0 inf + 33610 0.328 * * [simplify]: iteration 2 : 697 enodes (cost 5743 ) 0.700 * * [simplify]: Extracting # 0 : cost 0 inf + 33610 0.729 * * [simplify]: Extracting # 1 : cost 1960 inf + 28210 0.789 * * [simplify]: Extracting # 2 : cost 83 inf + 258296 0.888 * * [simplify]: Extracting # 3 : cost 29 inf + 264132 0.985 * * [simplify]: Extracting # 4 : cost 0 inf + 272482 1.084 * * [simplify]: iteration done: 5000 enodes (cost 5663 ) 1.085 * [simplify]: Simplified to: (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))) (* (+ (* x x) y) (sqrt (+ (* x x) y))) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (* y (* y y)) (* (* x x) (* (* x x) (* x x))))) (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (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) 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)) (+ (* y (* y y)) (* (* x x) (* (* x x) (* x x)))) (+ (* y (- y (* x x))) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (* +nan.0 (- (* x x) y)) (* +nan.0 (* y y))) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 1.087 * * * [progress]: adding candidates to table 1.260 * * [progress]: iteration 2 / 4 1.260 * * * [progress]: picking best candidate 1.278 * * * * [pick]: Picked # 1.278 * * * [progress]: localizing error 1.309 * * * [progress]: generating rewritten candidates 1.309 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.326 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.335 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.380 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.395 * * * [progress]: generating series expansions 1.395 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.395 * [backup-simplify]: Simplify (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y)))) into (sqrt (+ (pow x 2) y)) 1.395 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 1.395 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 1.395 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.395 * [taylor]: Taking taylor expansion of x in y 1.395 * [backup-simplify]: Simplify x into x 1.395 * [taylor]: Taking taylor expansion of y in y 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.396 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.396 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.396 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.397 * [backup-simplify]: Simplify (+ 0 1) into 1 1.397 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 1.397 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [taylor]: Taking taylor expansion of y in x 1.397 * [backup-simplify]: Simplify y into y 1.397 * [backup-simplify]: Simplify (+ 0 y) into y 1.397 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.397 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [taylor]: Taking taylor expansion of y in x 1.398 * [backup-simplify]: Simplify y into y 1.398 * [backup-simplify]: Simplify (+ 0 y) into y 1.398 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.398 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.398 * [taylor]: Taking taylor expansion of y in y 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.399 * [backup-simplify]: Simplify (sqrt 0) into 0 1.400 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [taylor]: Taking taylor expansion of 0 in y 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.401 * [backup-simplify]: Simplify (* 1 1) into 1 1.401 * [backup-simplify]: Simplify (+ 1 0) into 1 1.402 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 1.402 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.402 * [taylor]: Taking taylor expansion of 1/2 in y 1.402 * [backup-simplify]: Simplify 1/2 into 1/2 1.402 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.402 * [taylor]: Taking taylor expansion of y in y 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (/ 1 1) into 1 1.403 * [backup-simplify]: Simplify (sqrt 0) into 0 1.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.405 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 1.405 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.405 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.408 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.409 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 1.409 * [backup-simplify]: Simplify (cbrt (* (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 1.409 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.410 * [backup-simplify]: Simplify x into x 1.410 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.410 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.410 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.410 * [taylor]: Taking taylor expansion of y in y 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [backup-simplify]: Simplify (+ 0 1) into 1 1.411 * [backup-simplify]: Simplify (sqrt 0) into 0 1.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (* 1 1) into 1 1.413 * [backup-simplify]: Simplify (/ 1 1) into 1 1.413 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.413 * [taylor]: Taking taylor expansion of y in x 1.413 * [backup-simplify]: Simplify y into y 1.413 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.413 * [backup-simplify]: Simplify (+ 1 0) into 1 1.414 * [backup-simplify]: Simplify (sqrt 1) into 1 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (* 1 1) into 1 1.416 * [backup-simplify]: Simplify (/ 1 1) into 1 1.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.416 * [backup-simplify]: Simplify y into y 1.416 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.417 * [backup-simplify]: Simplify (+ 1 0) into 1 1.417 * [backup-simplify]: Simplify (sqrt 1) into 1 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.418 * [taylor]: Taking taylor expansion of 1 in y 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [taylor]: Taking taylor expansion of 0 in y 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.420 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.420 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 1.420 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.420 * [taylor]: Taking taylor expansion of 1/2 in y 1.420 * [backup-simplify]: Simplify 1/2 into 1/2 1.420 * [taylor]: Taking taylor expansion of y in y 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.421 * [backup-simplify]: Simplify 1/2 into 1/2 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.422 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 1.422 * [taylor]: Taking taylor expansion of 0 in y 1.422 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.425 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.425 * [taylor]: Taking taylor expansion of -1/8 in y 1.425 * [backup-simplify]: Simplify -1/8 into -1/8 1.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.425 * [taylor]: Taking taylor expansion of y in y 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (* 1 1) into 1 1.426 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.428 * [backup-simplify]: Simplify (cbrt (* (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 1.428 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.428 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.428 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.428 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.428 * [backup-simplify]: Simplify x into x 1.428 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.428 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.428 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [backup-simplify]: Simplify (- 1) into -1 1.429 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.429 * [backup-simplify]: Simplify (sqrt 0) into 0 1.430 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.430 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.430 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (* 1 1) into 1 1.430 * [backup-simplify]: Simplify (/ 1 1) into 1 1.430 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.430 * [taylor]: Taking taylor expansion of y in x 1.430 * [backup-simplify]: Simplify y into y 1.430 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.431 * [backup-simplify]: Simplify (+ 1 0) into 1 1.431 * [backup-simplify]: Simplify (sqrt 1) into 1 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.432 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.432 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (* 1 1) into 1 1.433 * [backup-simplify]: Simplify (/ 1 1) into 1 1.433 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.433 * [taylor]: Taking taylor expansion of y in x 1.433 * [backup-simplify]: Simplify y into y 1.433 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.433 * [backup-simplify]: Simplify (+ 1 0) into 1 1.434 * [backup-simplify]: Simplify (sqrt 1) into 1 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.435 * [taylor]: Taking taylor expansion of 1 in y 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [taylor]: Taking taylor expansion of 0 in y 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.436 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.437 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 1.437 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.437 * [taylor]: Taking taylor expansion of -1/2 in y 1.437 * [backup-simplify]: Simplify -1/2 into -1/2 1.437 * [taylor]: Taking taylor expansion of y in y 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.437 * [backup-simplify]: Simplify -1/2 into -1/2 1.437 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.439 * [backup-simplify]: Simplify (- 0) into 0 1.439 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 1.440 * [taylor]: Taking taylor expansion of 0 in y 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.442 * [backup-simplify]: Simplify (- 0) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.443 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.443 * [taylor]: Taking taylor expansion of -1/8 in y 1.443 * [backup-simplify]: Simplify -1/8 into -1/8 1.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.443 * [taylor]: Taking taylor expansion of y in y 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.443 * [backup-simplify]: Simplify (* 1 1) into 1 1.443 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 1.445 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.446 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 1.446 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 1.446 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 1.446 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.446 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.446 * [taylor]: Taking taylor expansion of x in y 1.446 * [backup-simplify]: Simplify x into x 1.446 * [taylor]: Taking taylor expansion of y in y 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.446 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.446 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.446 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.447 * [backup-simplify]: Simplify (+ 0 1) into 1 1.447 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 1.447 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [taylor]: Taking taylor expansion of y in x 1.447 * [backup-simplify]: Simplify y into y 1.447 * [backup-simplify]: Simplify (+ 0 y) into y 1.447 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.448 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.448 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [taylor]: Taking taylor expansion of y in x 1.448 * [backup-simplify]: Simplify y into y 1.448 * [backup-simplify]: Simplify (+ 0 y) into y 1.448 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.449 * [backup-simplify]: Simplify (+ 0 0) into 0 1.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.449 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.449 * [taylor]: Taking taylor expansion of y in y 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.449 * [backup-simplify]: Simplify (sqrt 0) into 0 1.451 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [taylor]: Taking taylor expansion of 0 in y 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.451 * [backup-simplify]: Simplify (* 1 1) into 1 1.452 * [backup-simplify]: Simplify (+ 1 0) into 1 1.452 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 1.452 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.452 * [taylor]: Taking taylor expansion of 1/2 in y 1.453 * [backup-simplify]: Simplify 1/2 into 1/2 1.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.453 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.453 * [taylor]: Taking taylor expansion of y in y 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.453 * [backup-simplify]: Simplify (/ 1 1) into 1 1.453 * [backup-simplify]: Simplify (sqrt 0) into 0 1.455 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.456 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 1.457 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.457 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.461 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 1.461 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 1.461 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.461 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.461 * [taylor]: Taking taylor expansion of x in y 1.461 * [backup-simplify]: Simplify x into x 1.461 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.462 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.462 * [taylor]: Taking taylor expansion of y in y 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (/ 1 1) into 1 1.462 * [backup-simplify]: Simplify (+ 0 1) into 1 1.463 * [backup-simplify]: Simplify (sqrt 0) into 0 1.464 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (* 1 1) into 1 1.465 * [backup-simplify]: Simplify (/ 1 1) into 1 1.465 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.465 * [taylor]: Taking taylor expansion of y in x 1.465 * [backup-simplify]: Simplify y into y 1.465 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.466 * [backup-simplify]: Simplify (+ 1 0) into 1 1.466 * [backup-simplify]: Simplify (sqrt 1) into 1 1.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (* 1 1) into 1 1.470 * [backup-simplify]: Simplify (/ 1 1) into 1 1.470 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.470 * [taylor]: Taking taylor expansion of y in x 1.470 * [backup-simplify]: Simplify y into y 1.470 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.470 * [backup-simplify]: Simplify (+ 1 0) into 1 1.471 * [backup-simplify]: Simplify (sqrt 1) into 1 1.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.473 * [taylor]: Taking taylor expansion of 1 in y 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [taylor]: Taking taylor expansion of 0 in y 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.475 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.476 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 1.476 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.476 * [taylor]: Taking taylor expansion of 1/2 in y 1.476 * [backup-simplify]: Simplify 1/2 into 1/2 1.476 * [taylor]: Taking taylor expansion of y in y 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.477 * [backup-simplify]: Simplify 1/2 into 1/2 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 1.480 * [taylor]: Taking taylor expansion of 0 in y 1.480 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.485 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.485 * [taylor]: Taking taylor expansion of -1/8 in y 1.486 * [backup-simplify]: Simplify -1/8 into -1/8 1.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.486 * [taylor]: Taking taylor expansion of y in y 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (* 1 1) into 1 1.486 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.489 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 1.489 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.489 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.489 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.489 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.489 * [taylor]: Taking taylor expansion of x in y 1.489 * [backup-simplify]: Simplify x into x 1.489 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.489 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.489 * [taylor]: Taking taylor expansion of y in y 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.490 * [backup-simplify]: Simplify (- 1) into -1 1.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.491 * [backup-simplify]: Simplify (sqrt 0) into 0 1.492 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.492 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.492 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (* 1 1) into 1 1.493 * [backup-simplify]: Simplify (/ 1 1) into 1 1.493 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.493 * [taylor]: Taking taylor expansion of y in x 1.493 * [backup-simplify]: Simplify y into y 1.493 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.494 * [backup-simplify]: Simplify (+ 1 0) into 1 1.494 * [backup-simplify]: Simplify (sqrt 1) into 1 1.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (+ 0 0) into 0 1.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.497 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.497 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (* 1 1) into 1 1.498 * [backup-simplify]: Simplify (/ 1 1) into 1 1.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.498 * [taylor]: Taking taylor expansion of y in x 1.498 * [backup-simplify]: Simplify y into y 1.498 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.498 * [backup-simplify]: Simplify (+ 1 0) into 1 1.499 * [backup-simplify]: Simplify (sqrt 1) into 1 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.501 * [taylor]: Taking taylor expansion of 1 in y 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [taylor]: Taking taylor expansion of 0 in y 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.503 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.505 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 1.505 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.505 * [taylor]: Taking taylor expansion of -1/2 in y 1.505 * [backup-simplify]: Simplify -1/2 into -1/2 1.505 * [taylor]: Taking taylor expansion of y in y 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.505 * [backup-simplify]: Simplify -1/2 into -1/2 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.508 * [backup-simplify]: Simplify (- 0) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 1.509 * [taylor]: Taking taylor expansion of 0 in y 1.509 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.518 * [backup-simplify]: Simplify (- 0) into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.520 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.520 * [taylor]: Taking taylor expansion of -1/8 in y 1.520 * [backup-simplify]: Simplify -1/8 into -1/8 1.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.520 * [taylor]: Taking taylor expansion of y in y 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.521 * [backup-simplify]: Simplify (* 1 1) into 1 1.521 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 1.523 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.524 * [backup-simplify]: Simplify (* (+ (* x x) y) (sqrt (+ (* x x) y))) into (sqrt (pow (+ (pow x 2) y) 3)) 1.524 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in (x y) around 0 1.524 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in y 1.524 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in y 1.524 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.524 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.524 * [taylor]: Taking taylor expansion of x in y 1.524 * [backup-simplify]: Simplify x into x 1.524 * [taylor]: Taking taylor expansion of y in y 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.524 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.524 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.525 * [backup-simplify]: Simplify (* (pow x 2) (pow x 4)) into (pow x 6) 1.525 * [backup-simplify]: Simplify (sqrt (pow x 6)) into (pow x 3) 1.525 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.525 * [backup-simplify]: Simplify (+ 0 1) into 1 1.526 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 1 (pow x 2))) into (* 2 (pow x 2)) 1.526 * [backup-simplify]: Simplify (+ (* (pow x 2) (* 2 (pow x 2))) (* 1 (pow x 4))) into (* 3 (pow x 4)) 1.526 * [backup-simplify]: Simplify (/ (* 3 (pow x 4)) (* 2 (sqrt (pow x 6)))) into (* 3/2 x) 1.526 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in x 1.526 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in x 1.526 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.526 * [taylor]: Taking taylor expansion of x in x 1.526 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [taylor]: Taking taylor expansion of y in x 1.527 * [backup-simplify]: Simplify y into y 1.527 * [backup-simplify]: Simplify (+ 0 y) into y 1.527 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.527 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.527 * [backup-simplify]: Simplify (sqrt (pow y 3)) into (sqrt (pow y 3)) 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.528 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 1.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 3)))) into 0 1.528 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in x 1.528 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in x 1.528 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.528 * [taylor]: Taking taylor expansion of y in x 1.528 * [backup-simplify]: Simplify y into y 1.529 * [backup-simplify]: Simplify (+ 0 y) into y 1.529 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.529 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.529 * [backup-simplify]: Simplify (sqrt (pow y 3)) into (sqrt (pow y 3)) 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.529 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.530 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 1.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 3)))) into 0 1.530 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 1.530 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.530 * [taylor]: Taking taylor expansion of y in y 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [backup-simplify]: Simplify (* 1 1) into 1 1.531 * [backup-simplify]: Simplify (* 1 1) into 1 1.531 * [backup-simplify]: Simplify (sqrt 0) into 0 1.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.533 * [taylor]: Taking taylor expansion of 0 in y 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (+ 1 0) into 1 1.534 * [backup-simplify]: Simplify (+ (* y 1) (+ (* 0 0) (* 1 y))) into (* 2 y) 1.535 * [backup-simplify]: Simplify (+ (* y (* 2 y)) (+ (* 0 0) (* 1 (pow y 2)))) into (* 3 (pow y 2)) 1.536 * [backup-simplify]: Simplify (/ (- (* 3 (pow y 2)) (pow 0 2) (+)) (* 2 (sqrt (pow y 3)))) into (* 3/2 (sqrt y)) 1.536 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt y)) in y 1.536 * [taylor]: Taking taylor expansion of 3/2 in y 1.536 * [backup-simplify]: Simplify 3/2 into 3/2 1.536 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.536 * [taylor]: Taking taylor expansion of y in y 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify (sqrt 0) into 0 1.538 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.538 * [backup-simplify]: Simplify (* 3/2 0) into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (+ (* 1 0) (* 0 y)))) into 0 1.541 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 (* 2 y)) (+ (* 1 0) (* 0 (pow y 2))))) into 0 1.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 3/2 (sqrt y)))))) (* 2 (sqrt (pow y 3)))) into 0 1.542 * [taylor]: Taking taylor expansion of 0 in y 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (+ (* 3/2 +nan.0) (* 0 0)) into (- +nan.0) 1.544 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.548 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.548 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.549 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 3)) (+ (* (- +nan.0) (* y (pow x 2))) (* +nan.0 (pow (* y 1) 2)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow y 3)) (- (* +nan.0 (* (pow x 2) y))))))) 1.550 * [backup-simplify]: Simplify (* (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) 1.550 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in (x y) around 0 1.550 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in y 1.550 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in y 1.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.550 * [taylor]: Taking taylor expansion of x in y 1.550 * [backup-simplify]: Simplify x into x 1.550 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.550 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.550 * [taylor]: Taking taylor expansion of y in y 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (/ 1 1) into 1 1.551 * [backup-simplify]: Simplify (+ 0 1) into 1 1.552 * [backup-simplify]: Simplify (* 1 1) into 1 1.552 * [backup-simplify]: Simplify (* 1 1) into 1 1.552 * [backup-simplify]: Simplify (sqrt 0) into 0 1.554 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.554 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.554 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.555 * [backup-simplify]: Simplify (/ 1 1) into 1 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [backup-simplify]: Simplify y into y 1.555 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.555 * [backup-simplify]: Simplify (+ 1 0) into 1 1.556 * [backup-simplify]: Simplify (* 1 1) into 1 1.556 * [backup-simplify]: Simplify (* 1 1) into 1 1.557 * [backup-simplify]: Simplify (sqrt 1) into 1 1.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.558 * [backup-simplify]: Simplify (+ 0 0) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.560 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.560 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (* 1 1) into 1 1.561 * [backup-simplify]: Simplify (/ 1 1) into 1 1.561 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.561 * [taylor]: Taking taylor expansion of y in x 1.561 * [backup-simplify]: Simplify y into y 1.561 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.561 * [backup-simplify]: Simplify (+ 1 0) into 1 1.561 * [backup-simplify]: Simplify (* 1 1) into 1 1.561 * [backup-simplify]: Simplify (* 1 1) into 1 1.562 * [backup-simplify]: Simplify (sqrt 1) into 1 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ 0 0) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.564 * [taylor]: Taking taylor expansion of 1 in y 1.564 * [backup-simplify]: Simplify 1 into 1 1.564 * [taylor]: Taking taylor expansion of 0 in y 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.565 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (+ (* 0 0) (* (/ 1 y) 1))) into (* 2 (/ 1 y)) 1.566 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 y))) (+ (* 0 0) (* (/ 1 y) 1))) into (* 3 (/ 1 y)) 1.566 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 y) 1.566 * [taylor]: Taking taylor expansion of (/ 3/2 y) in y 1.566 * [taylor]: Taking taylor expansion of 3/2 in y 1.566 * [backup-simplify]: Simplify 3/2 into 3/2 1.566 * [taylor]: Taking taylor expansion of y in y 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (+ (* (/ 1 y) 0) (* 0 1)))) into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 y))) (+ (* (/ 1 y) 0) (* 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 y))))) (* 2 1)) into 0 1.570 * [taylor]: Taking taylor expansion of 0 in y 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 3/2 into 3/2 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 y) (/ 1 y)) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 2)) 1.573 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (+ (* (/ 1 y) (* 2 (/ 1 y))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow y 2))) 1.574 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow (/ 3/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow y 2)) 1.574 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.574 * [taylor]: Taking taylor expansion of 3/8 in y 1.574 * [backup-simplify]: Simplify 3/8 into 3/8 1.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.574 * [taylor]: Taking taylor expansion of y in y 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (* 1 1) into 1 1.575 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 1.575 * [backup-simplify]: Simplify 3/8 into 3/8 1.575 * [backup-simplify]: Simplify (+ (* 3/8 (* (pow (/ 1 y) -2) (/ 1 x))) (+ (* 3/2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 3)))) into (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x)))) 1.576 * [backup-simplify]: Simplify (* (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) 1.576 * [approximate]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in (x y) around 0 1.576 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in y 1.576 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in y 1.576 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.576 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.576 * [taylor]: Taking taylor expansion of x in y 1.576 * [backup-simplify]: Simplify x into x 1.576 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.576 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.576 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.576 * [taylor]: Taking taylor expansion of y in y 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (/ 1 1) into 1 1.576 * [backup-simplify]: Simplify (- 1) into -1 1.577 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.577 * [backup-simplify]: Simplify (* -1 -1) into 1 1.577 * [backup-simplify]: Simplify (* -1 1) into -1 1.577 * [backup-simplify]: Simplify (sqrt 0) into 0 1.578 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.578 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.578 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.578 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (* 1 1) into 1 1.579 * [backup-simplify]: Simplify (/ 1 1) into 1 1.579 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.579 * [taylor]: Taking taylor expansion of y in x 1.579 * [backup-simplify]: Simplify y into y 1.579 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.579 * [backup-simplify]: Simplify (+ 1 0) into 1 1.580 * [backup-simplify]: Simplify (* 1 1) into 1 1.580 * [backup-simplify]: Simplify (* 1 1) into 1 1.580 * [backup-simplify]: Simplify (sqrt 1) into 1 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.582 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.582 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.582 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (* 1 1) into 1 1.583 * [backup-simplify]: Simplify (/ 1 1) into 1 1.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.583 * [taylor]: Taking taylor expansion of y in x 1.583 * [backup-simplify]: Simplify y into y 1.583 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.583 * [backup-simplify]: Simplify (+ 1 0) into 1 1.583 * [backup-simplify]: Simplify (* 1 1) into 1 1.584 * [backup-simplify]: Simplify (* 1 1) into 1 1.584 * [backup-simplify]: Simplify (sqrt 1) into 1 1.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.586 * [taylor]: Taking taylor expansion of 1 in y 1.586 * [backup-simplify]: Simplify 1 into 1 1.586 * [taylor]: Taking taylor expansion of 0 in y 1.586 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.588 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.588 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (+ (* 0 0) (* (- (/ 1 y)) 1))) into (- (* 2 (/ 1 y))) 1.589 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 y)))) (+ (* 0 0) (* (- (/ 1 y)) 1))) into (- (* 3 (/ 1 y))) 1.590 * [backup-simplify]: Simplify (/ (- (- (* 3 (/ 1 y))) (pow 0 2) (+)) (* 2 1)) into (/ -3/2 y) 1.590 * [taylor]: Taking taylor expansion of (/ -3/2 y) in y 1.590 * [taylor]: Taking taylor expansion of -3/2 in y 1.590 * [backup-simplify]: Simplify -3/2 into -3/2 1.590 * [taylor]: Taking taylor expansion of y in y 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (/ -3/2 1) into -3/2 1.591 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.593 * [backup-simplify]: Simplify (- 0) into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 y))) (+ (* (- (/ 1 y)) 0) (* 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 2 (/ 1 y)))) (+ (* (- (/ 1 y)) 0) (* 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3/2 y))))) (* 2 1)) into 0 1.596 * [taylor]: Taking taylor expansion of 0 in y 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify -3/2 into -3/2 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 y)) (- (/ 1 y))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 2)) 1.602 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (+ (* (- (/ 1 y)) (- (* 2 (/ 1 y)))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow y 2))) 1.603 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow (/ -3/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow y 2)) 1.603 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.603 * [taylor]: Taking taylor expansion of 3/8 in y 1.603 * [backup-simplify]: Simplify 3/8 into 3/8 1.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.603 * [taylor]: Taking taylor expansion of y in y 1.603 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (* 1 1) into 1 1.604 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 1.604 * [backup-simplify]: Simplify 3/8 into 3/8 1.605 * [backup-simplify]: Simplify (+ (* 3/8 (* (pow (/ 1 (- y)) -2) (/ 1 (- x)))) (+ (* -3/2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 3)))) into (- (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x))))) 1.605 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.605 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 1.605 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 1.605 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.605 * [taylor]: Taking taylor expansion of x in y 1.605 * [backup-simplify]: Simplify x into x 1.605 * [taylor]: Taking taylor expansion of y in y 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.606 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [taylor]: Taking taylor expansion of y in x 1.606 * [backup-simplify]: Simplify y into y 1.606 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [taylor]: Taking taylor expansion of y in x 1.606 * [backup-simplify]: Simplify y into y 1.606 * [backup-simplify]: Simplify (+ 0 y) into y 1.606 * [taylor]: Taking taylor expansion of y in y 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [taylor]: Taking taylor expansion of 0 in y 1.606 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (* 1 1) into 1 1.607 * [backup-simplify]: Simplify (+ 1 0) into 1 1.607 * [taylor]: Taking taylor expansion of 1 in y 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [taylor]: Taking taylor expansion of 0 in y 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 1.609 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 1.609 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.609 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.609 * [taylor]: Taking taylor expansion of x in y 1.609 * [backup-simplify]: Simplify x into x 1.609 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.609 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.609 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.609 * [taylor]: Taking taylor expansion of y in y 1.609 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (/ 1 1) into 1 1.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (* 1 1) into 1 1.611 * [backup-simplify]: Simplify (/ 1 1) into 1 1.611 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.611 * [taylor]: Taking taylor expansion of y in x 1.611 * [backup-simplify]: Simplify y into y 1.611 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (* 1 1) into 1 1.612 * [backup-simplify]: Simplify (/ 1 1) into 1 1.612 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.612 * [taylor]: Taking taylor expansion of y in x 1.612 * [backup-simplify]: Simplify y into y 1.612 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.612 * [backup-simplify]: Simplify (+ 1 0) into 1 1.612 * [taylor]: Taking taylor expansion of 1 in y 1.612 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [taylor]: Taking taylor expansion of 0 in y 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.616 * [taylor]: Taking taylor expansion of y in y 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (/ 1 1) into 1 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [taylor]: Taking taylor expansion of 0 in y 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.622 * [taylor]: Taking taylor expansion of 0 in y 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 1.623 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 1.623 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.623 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.623 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.623 * [taylor]: Taking taylor expansion of x in y 1.623 * [backup-simplify]: Simplify x into x 1.623 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.623 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.623 * [taylor]: Taking taylor expansion of y in y 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [backup-simplify]: Simplify (/ 1 1) into 1 1.623 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (* 1 1) into 1 1.624 * [backup-simplify]: Simplify (/ 1 1) into 1 1.624 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.624 * [taylor]: Taking taylor expansion of y in x 1.624 * [backup-simplify]: Simplify y into y 1.624 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.624 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (* 1 1) into 1 1.625 * [backup-simplify]: Simplify (/ 1 1) into 1 1.625 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.625 * [taylor]: Taking taylor expansion of y in x 1.625 * [backup-simplify]: Simplify y into y 1.625 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.626 * [backup-simplify]: Simplify (+ 1 0) into 1 1.626 * [taylor]: Taking taylor expansion of 1 in y 1.626 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.627 * [taylor]: Taking taylor expansion of 0 in y 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.629 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.630 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.630 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.630 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.630 * [taylor]: Taking taylor expansion of y in y 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [backup-simplify]: Simplify (- 1) into -1 1.630 * [backup-simplify]: Simplify -1 into -1 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.633 * [backup-simplify]: Simplify (- 0) into 0 1.633 * [backup-simplify]: Simplify (+ 0 0) into 0 1.633 * [taylor]: Taking taylor expansion of 0 in y 1.633 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (- 0) into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [taylor]: Taking taylor expansion of 0 in y 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 1.638 * * * [progress]: simplifying candidates 1.644 * [simplify]: Simplifying: (log (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y))))) (exp (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y))))) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (cbrt (* (+ (pow (* x x) 3) (pow y 3)) (sqrt (+ (pow (* x x) 3) (pow y 3))))) (cbrt (* (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (cbrt (* (+ (pow (* x x) 3) (pow y 3)) (sqrt (- (* (* x x) (* x x)) (* y y))))) (cbrt (* (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (sqrt (- (* x x) y)))) (cbrt (* (- (* (* x x) (* x x)) (* y y)) (sqrt (+ (pow (* x x) 3) (pow y 3))))) (cbrt (* (- (* x x) y) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (cbrt (* (- (* (* x x) (* x x)) (* y y)) (sqrt (- (* (* x x) (* x x)) (* y y))))) (cbrt (* (- (* x x) y) (sqrt (- (* x x) y)))) (cbrt (* (+ (* x x) y) (sqrt (+ (pow (* x x) 3) (pow y 3))))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (* (+ (* x x) y) (sqrt (- (* (* x x) (* x x)) (* y y))))) (cbrt (sqrt (- (* x x) y))) (cbrt (* (+ (pow (* x x) 3) (pow y 3)) (sqrt (+ (* x x) y)))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (* (- (* (* x x) (* x x)) (* y y)) (sqrt (+ (* x x) y)))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y))))) (cbrt (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y)))))) (cbrt (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y))))) (* (* (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y))))) (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y))))) (sqrt (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y))))) (sqrt (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y))))) (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))) (+ 1 1/2) (+ 1 (/ 1 2)) (* (+ (* x x) y) (sqrt (+ (* x x) y))) (+ (log (+ (* x x) y)) (log (sqrt (+ (* x x) y)))) (log (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (exp (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (* (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))) (* (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y))))) (cbrt (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (* (* (* (+ (* x x) y) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (sqrt (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (sqrt (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (* (+ (pow (* x x) 3) (pow y 3)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (+ (pow (* x x) 3) (pow y 3)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (sqrt (- (* x x) y))) (* (- (* (* x x) (* x x)) (* y y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (- (* x x) y) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (- (* (* x x) (* x x)) (* y y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (- (* x x) y) (sqrt (- (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (+ (* x x) y) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (+ (* x x) y) (sqrt (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (sqrt 1)) (* (+ (* x x) y) (sqrt (sqrt (+ (* x x) y)))) (* (+ (* x x) y) 1) (* (cbrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (+ (* x x) y) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (+ (pow (* x x) 3) (pow y 3)) (sqrt (+ (* x x) y))) (* (- (* (* x x) (* x x)) (* y y)) (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 y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow y 3)) (- (* +nan.0 (* (pow x 2) y))))))) (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x)))) (- (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x))))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 1.647 * * [simplify]: Extracting # 0 : cost 85 inf + 0 1.648 * * [simplify]: Extracting # 1 : cost 107 inf + 0 1.648 * * [simplify]: Extracting # 2 : cost 89 inf + 3362 1.651 * * [simplify]: Extracting # 3 : cost 52 inf + 15451 1.654 * * [simplify]: Extracting # 4 : cost 33 inf + 21210 1.659 * * [simplify]: Extracting # 5 : cost 20 inf + 25786 1.663 * * [simplify]: Extracting # 6 : cost 14 inf + 28105 1.668 * * [simplify]: Extracting # 7 : cost 10 inf + 29480 1.673 * * [simplify]: Extracting # 8 : cost 6 inf + 31598 1.678 * * [simplify]: Extracting # 9 : cost 4 inf + 32676 1.683 * * [simplify]: Extracting # 10 : cost 3 inf + 33301 1.689 * * [simplify]: Extracting # 11 : cost 2 inf + 33966 1.694 * * [simplify]: Extracting # 12 : cost 1 inf + 34921 1.699 * * [simplify]: Extracting # 13 : cost 0 inf + 35916 1.704 * * [simplify]: iteration 0 : 130 enodes (cost 31183 ) 1.749 * * [simplify]: Extracting # 0 : cost 0 inf + 35916 1.756 * * [simplify]: Extracting # 1 : cost 53 inf + 33114 1.764 * * [simplify]: Extracting # 2 : cost 0 inf + 37455 1.768 * * [simplify]: Extracting # 3 : cost 0 inf + 34112 1.773 * * [simplify]: Extracting # 4 : cost 0 inf + 32283 1.777 * * [simplify]: Extracting # 5 : cost 0 inf + 31981 1.782 * * [simplify]: iteration 1 : 297 enodes (cost 24075 ) 1.922 * * [simplify]: Extracting # 0 : cost 0 inf + 31981 1.937 * * [simplify]: Extracting # 1 : cost 469 inf + 28303 1.969 * * [simplify]: Extracting # 2 : cost 11 inf + 99847 1.990 * * [simplify]: Extracting # 3 : cost 5 inf + 100619 2.018 * * [simplify]: Extracting # 4 : cost 0 inf + 102181 2.055 * * [simplify]: iteration 2 : 1468 enodes (cost 23835 ) 2.563 * * [simplify]: Extracting # 0 : cost 0 inf + 102181 2.623 * * [simplify]: Extracting # 1 : cost 1912 inf + 84874 2.721 * * [simplify]: Extracting # 2 : cost 110 inf + 396487 2.810 * * [simplify]: Extracting # 3 : cost 30 inf + 388614 2.891 * * [simplify]: Extracting # 4 : cost 0 inf + 396589 2.980 * * [simplify]: iteration done: 5001 enodes (cost 22635 ) 2.981 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (cbrt (* (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y))) (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y)))) (cbrt (* (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (+ (* y (- y (* x x))) (* (* x x) (* x x))))) (cbrt (* (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y)) (sqrt (- (* (* x x) (* x x)) (* y y))))) (cbrt (* (sqrt (- (* x x) y)) (+ (* y (- y (* x x))) (* (* x x) (* x x))))) (cbrt (* (- (* (* x x) (* x x)) (* y y)) (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y))))) (cbrt (* (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (- (* x x) y))) (cbrt (* (- (* (* x x) (* x x)) (* y y)) (sqrt (- (* (* x x) (* x x)) (* y y))))) (cbrt (* (- (* x x) y) (sqrt (- (* x x) y)))) (cbrt (* (+ (* x x) y) (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y))))) (cbrt (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x))))) (cbrt (* (+ (* x x) y) (sqrt (- (* (* x x) (* x x)) (* y y))))) (cbrt (sqrt (- (* x x) y))) (cbrt (* (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y)) (sqrt (+ (* x x) y)))) (cbrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (cbrt (* (+ (* x x) y) (* (- (* x x) y) (sqrt (+ (* x x) y))))) (cbrt (- (* x x) y)) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (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)) (+ (* x x) y)) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y))) (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 3/2 3/2 (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (log (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (log (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (exp (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (* (* (* (+ (* x x) y) (+ (* x x) y)) (* (+ (* x x) y) (+ (* x x) y))) (sqrt (+ (* x x) y))) (+ (* x x) y) (sqrt (+ (* x x) y)) (* (* (* (+ (* x x) y) (+ (* x x) y)) (* (+ (* x x) y) (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (sqrt (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (* (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y))) (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y))) (* (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (* (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (- (* x x) y)) (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (* (- (* (* x x) (* x x)) (* y y)) (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y)))) (* (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (- (* x x) y)) (* (- (* (* x x) (* x x)) (* y y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (- (* x x) y) (sqrt (- (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (fabs (cbrt (+ (* x x) y))) (+ (* x x) y)) (* (+ (* x x) y) (sqrt (sqrt (+ (* x x) y)))) (+ (* x x) y) (* (+ (* x x) y) (sqrt (sqrt (+ (* x x) y)))) (+ (* x x) y) (* (cbrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (+ (* x x) y) (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (* (+ (* x x) y) (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y)))) (* (+ (* x x) y) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (* (- (* x x) y) (sqrt (+ (* x x) y)))) (exp (+ (* x x) 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)) (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) y)) (+ (* y (- y (* x x))) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (- (* +nan.0 (* y y))) (* +nan.0 (- (* x x) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (- (* +nan.0 (* y y))) (* +nan.0 (- (* x x) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (- (* +nan.0 (* y y))) (* +nan.0 (- (* (* y y) y) (* (* x x) y)))) (+ (+ (* (* x x) x) (* 3/2 (* x y))) (* 3/8 (/ (* y y) x))) (- (+ (+ (* (* x x) x) (* 3/2 (* x y))) (* 3/8 (/ (* y y) x)))) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 2.987 * * * [progress]: adding candidates to table 3.406 * * [progress]: iteration 3 / 4 3.406 * * * [progress]: picking best candidate 3.417 * * * * [pick]: Picked # 3.417 * * * [progress]: localizing error 3.426 * * * [progress]: generating rewritten candidates 3.426 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 3.437 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.445 * * * [progress]: generating series expansions 3.445 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 3.445 * [backup-simplify]: Simplify (* -1/2 (/ y x)) into (* -1/2 (/ y x)) 3.446 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 3.446 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 3.446 * [taylor]: Taking taylor expansion of -1/2 in x 3.446 * [backup-simplify]: Simplify -1/2 into -1/2 3.446 * [taylor]: Taking taylor expansion of (/ y x) in x 3.446 * [taylor]: Taking taylor expansion of y in x 3.446 * [backup-simplify]: Simplify y into y 3.446 * [taylor]: Taking taylor expansion of x in x 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.446 * [backup-simplify]: Simplify (/ y 1) into y 3.446 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 3.446 * [taylor]: Taking taylor expansion of -1/2 in y 3.446 * [backup-simplify]: Simplify -1/2 into -1/2 3.446 * [taylor]: Taking taylor expansion of (/ y x) in y 3.446 * [taylor]: Taking taylor expansion of y in y 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.446 * [taylor]: Taking taylor expansion of x in y 3.446 * [backup-simplify]: Simplify x into x 3.446 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.446 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 3.446 * [taylor]: Taking taylor expansion of -1/2 in y 3.446 * [backup-simplify]: Simplify -1/2 into -1/2 3.446 * [taylor]: Taking taylor expansion of (/ y x) in y 3.446 * [taylor]: Taking taylor expansion of y in y 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.446 * [taylor]: Taking taylor expansion of x in y 3.446 * [backup-simplify]: Simplify x into x 3.446 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.446 * [backup-simplify]: Simplify (* -1/2 (/ 1 x)) into (/ -1/2 x) 3.446 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.446 * [taylor]: Taking taylor expansion of -1/2 in x 3.446 * [backup-simplify]: Simplify -1/2 into -1/2 3.446 * [taylor]: Taking taylor expansion of x in x 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.447 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.447 * [backup-simplify]: Simplify -1/2 into -1/2 3.447 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.447 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 x))) into 0 3.447 * [taylor]: Taking taylor expansion of 0 in x 3.447 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.449 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.449 * [taylor]: Taking taylor expansion of 0 in x 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.450 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.450 * [taylor]: Taking taylor expansion of 0 in x 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) y)) into (* -1/2 (/ y x)) 3.451 * [backup-simplify]: Simplify (* -1/2 (/ (/ 1 y) (/ 1 x))) into (* -1/2 (/ x y)) 3.451 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 3.451 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.451 * [taylor]: Taking taylor expansion of -1/2 in x 3.451 * [backup-simplify]: Simplify -1/2 into -1/2 3.451 * [taylor]: Taking taylor expansion of (/ x y) in x 3.451 * [taylor]: Taking taylor expansion of x in x 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [taylor]: Taking taylor expansion of y in x 3.451 * [backup-simplify]: Simplify y into y 3.451 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.451 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.451 * [taylor]: Taking taylor expansion of -1/2 in y 3.451 * [backup-simplify]: Simplify -1/2 into -1/2 3.451 * [taylor]: Taking taylor expansion of (/ x y) in y 3.451 * [taylor]: Taking taylor expansion of x in y 3.451 * [backup-simplify]: Simplify x into x 3.451 * [taylor]: Taking taylor expansion of y in y 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (/ x 1) into x 3.452 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.452 * [taylor]: Taking taylor expansion of -1/2 in y 3.452 * [backup-simplify]: Simplify -1/2 into -1/2 3.452 * [taylor]: Taking taylor expansion of (/ x y) in y 3.452 * [taylor]: Taking taylor expansion of x in y 3.452 * [backup-simplify]: Simplify x into x 3.452 * [taylor]: Taking taylor expansion of y in y 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (/ x 1) into x 3.452 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 3.452 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 3.452 * [taylor]: Taking taylor expansion of -1/2 in x 3.452 * [backup-simplify]: Simplify -1/2 into -1/2 3.452 * [taylor]: Taking taylor expansion of x in x 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 3.452 * [backup-simplify]: Simplify -1/2 into -1/2 3.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 3.453 * [taylor]: Taking taylor expansion of 0 in x 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.455 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.455 * [taylor]: Taking taylor expansion of 0 in x 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.456 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.459 * [taylor]: Taking taylor expansion of 0 in x 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* -1/2 (/ y x)) 3.459 * [backup-simplify]: Simplify (* -1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* -1/2 (/ x y)) 3.459 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 3.459 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.459 * [taylor]: Taking taylor expansion of -1/2 in x 3.459 * [backup-simplify]: Simplify -1/2 into -1/2 3.459 * [taylor]: Taking taylor expansion of (/ x y) in x 3.460 * [taylor]: Taking taylor expansion of x in x 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [taylor]: Taking taylor expansion of y in x 3.460 * [backup-simplify]: Simplify y into y 3.460 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.460 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.460 * [taylor]: Taking taylor expansion of -1/2 in y 3.460 * [backup-simplify]: Simplify -1/2 into -1/2 3.460 * [taylor]: Taking taylor expansion of (/ x y) in y 3.460 * [taylor]: Taking taylor expansion of x in y 3.460 * [backup-simplify]: Simplify x into x 3.460 * [taylor]: Taking taylor expansion of y in y 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [backup-simplify]: Simplify (/ x 1) into x 3.460 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.460 * [taylor]: Taking taylor expansion of -1/2 in y 3.460 * [backup-simplify]: Simplify -1/2 into -1/2 3.460 * [taylor]: Taking taylor expansion of (/ x y) in y 3.460 * [taylor]: Taking taylor expansion of x in y 3.460 * [backup-simplify]: Simplify x into x 3.460 * [taylor]: Taking taylor expansion of y in y 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [backup-simplify]: Simplify (/ x 1) into x 3.460 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 3.460 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 3.460 * [taylor]: Taking taylor expansion of -1/2 in x 3.460 * [backup-simplify]: Simplify -1/2 into -1/2 3.460 * [taylor]: Taking taylor expansion of x in x 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.461 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 3.461 * [backup-simplify]: Simplify -1/2 into -1/2 3.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.461 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 3.461 * [taylor]: Taking taylor expansion of 0 in x 3.462 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.462 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.464 * [taylor]: Taking taylor expansion of 0 in x 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.468 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.468 * [taylor]: Taking taylor expansion of 0 in x 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* -1/2 (/ y x)) 3.468 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.468 * [backup-simplify]: Simplify (- (* -1/2 (/ y x)) x) into (- (+ x (* 1/2 (/ y x)))) 3.468 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0 3.468 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 3.468 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 3.468 * [taylor]: Taking taylor expansion of x in x 3.468 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.469 * [taylor]: Taking taylor expansion of 1/2 in x 3.469 * [backup-simplify]: Simplify 1/2 into 1/2 3.469 * [taylor]: Taking taylor expansion of (/ y x) in x 3.469 * [taylor]: Taking taylor expansion of y in x 3.469 * [backup-simplify]: Simplify y into y 3.469 * [taylor]: Taking taylor expansion of x in x 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (/ y 1) into y 3.469 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 3.469 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 3.469 * [taylor]: Taking taylor expansion of x in y 3.469 * [backup-simplify]: Simplify x into x 3.469 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.469 * [taylor]: Taking taylor expansion of 1/2 in y 3.469 * [backup-simplify]: Simplify 1/2 into 1/2 3.469 * [taylor]: Taking taylor expansion of (/ y x) in y 3.469 * [taylor]: Taking taylor expansion of y in y 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [taylor]: Taking taylor expansion of x in y 3.469 * [backup-simplify]: Simplify x into x 3.469 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.469 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 3.470 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 3.470 * [taylor]: Taking taylor expansion of x in y 3.470 * [backup-simplify]: Simplify x into x 3.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.470 * [taylor]: Taking taylor expansion of 1/2 in y 3.470 * [backup-simplify]: Simplify 1/2 into 1/2 3.470 * [taylor]: Taking taylor expansion of (/ y x) in y 3.470 * [taylor]: Taking taylor expansion of y in y 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [taylor]: Taking taylor expansion of x in y 3.470 * [backup-simplify]: Simplify x into x 3.470 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.470 * [backup-simplify]: Simplify (+ x 0) into x 3.470 * [backup-simplify]: Simplify (- x) into (- x) 3.470 * [taylor]: Taking taylor expansion of (- x) in x 3.470 * [taylor]: Taking taylor expansion of x in x 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 3.470 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x)) 3.470 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x))) 3.470 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x 3.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 3.471 * [taylor]: Taking taylor expansion of 1/2 in x 3.471 * [backup-simplify]: Simplify 1/2 into 1/2 3.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.471 * [taylor]: Taking taylor expansion of x in x 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (/ 1 1) into 1 3.471 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.472 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.472 * [backup-simplify]: Simplify -1/2 into -1/2 3.472 * [backup-simplify]: Simplify (- 0) into 0 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 3.473 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (- 0) into 0 3.474 * [taylor]: Taking taylor expansion of 0 in x 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.475 * [backup-simplify]: Simplify (- 0) into 0 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify (- 1) into -1 3.476 * [backup-simplify]: Simplify -1 into -1 3.476 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.478 * [backup-simplify]: Simplify (- 0) into 0 3.478 * [taylor]: Taking taylor expansion of 0 in x 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.480 * [backup-simplify]: Simplify (- 0) into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (- 0) into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.482 * [backup-simplify]: Simplify (+ 0 0) into 0 3.482 * [backup-simplify]: Simplify (- 0) into 0 3.482 * [taylor]: Taking taylor expansion of 0 in x 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (- 0) into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x)))) 3.485 * [backup-simplify]: Simplify (- (* -1/2 (/ (/ 1 y) (/ 1 x))) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 3.485 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 3.485 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 3.486 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 3.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.486 * [taylor]: Taking taylor expansion of 1/2 in x 3.486 * [backup-simplify]: Simplify 1/2 into 1/2 3.486 * [taylor]: Taking taylor expansion of (/ x y) in x 3.486 * [taylor]: Taking taylor expansion of x in x 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 1 into 1 3.486 * [taylor]: Taking taylor expansion of y in x 3.486 * [backup-simplify]: Simplify y into y 3.486 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.486 * [taylor]: Taking taylor expansion of x in x 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 1 into 1 3.486 * [backup-simplify]: Simplify (/ 1 1) into 1 3.486 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 3.486 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 3.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.486 * [taylor]: Taking taylor expansion of 1/2 in y 3.486 * [backup-simplify]: Simplify 1/2 into 1/2 3.486 * [taylor]: Taking taylor expansion of (/ x y) in y 3.487 * [taylor]: Taking taylor expansion of x in y 3.487 * [backup-simplify]: Simplify x into x 3.487 * [taylor]: Taking taylor expansion of y in y 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [backup-simplify]: Simplify (/ x 1) into x 3.487 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.487 * [taylor]: Taking taylor expansion of x in y 3.487 * [backup-simplify]: Simplify x into x 3.487 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.487 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 3.487 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 3.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.487 * [taylor]: Taking taylor expansion of 1/2 in y 3.487 * [backup-simplify]: Simplify 1/2 into 1/2 3.487 * [taylor]: Taking taylor expansion of (/ x y) in y 3.487 * [taylor]: Taking taylor expansion of x in y 3.487 * [backup-simplify]: Simplify x into x 3.487 * [taylor]: Taking taylor expansion of y in y 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [backup-simplify]: Simplify (/ x 1) into x 3.487 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.487 * [taylor]: Taking taylor expansion of x in y 3.487 * [backup-simplify]: Simplify x into x 3.487 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.487 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 3.487 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 3.487 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 3.487 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 3.487 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.487 * [taylor]: Taking taylor expansion of 1/2 in x 3.487 * [backup-simplify]: Simplify 1/2 into 1/2 3.487 * [taylor]: Taking taylor expansion of x in x 3.487 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 1 into 1 3.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 3.488 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 3.488 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 3.488 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.489 * [taylor]: Taking taylor expansion of x in x 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.489 * [backup-simplify]: Simplify (/ 1 1) into 1 3.489 * [backup-simplify]: Simplify (- 1) into -1 3.489 * [backup-simplify]: Simplify -1 into -1 3.489 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.490 * [backup-simplify]: Simplify (- 0) into 0 3.490 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.492 * [backup-simplify]: Simplify (+ 0 0) into 0 3.492 * [backup-simplify]: Simplify (- 0) into 0 3.492 * [taylor]: Taking taylor expansion of 0 in x 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.493 * [backup-simplify]: Simplify (- 0) into 0 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.493 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.493 * [backup-simplify]: Simplify -1/2 into -1/2 3.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.496 * [backup-simplify]: Simplify (+ 0 0) into 0 3.496 * [backup-simplify]: Simplify (- 0) into 0 3.496 * [taylor]: Taking taylor expansion of 0 in x 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (- 0) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.498 * [backup-simplify]: Simplify (- 0) into 0 3.498 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.501 * [backup-simplify]: Simplify (+ 0 0) into 0 3.501 * [backup-simplify]: Simplify (- 0) into 0 3.501 * [taylor]: Taking taylor expansion of 0 in x 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.506 * [backup-simplify]: Simplify (- 0) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x)))) 3.508 * [backup-simplify]: Simplify (- (* -1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 3.508 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 3.508 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 3.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.508 * [taylor]: Taking taylor expansion of x in x 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [backup-simplify]: Simplify (/ 1 1) into 1 3.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.508 * [taylor]: Taking taylor expansion of 1/2 in x 3.508 * [backup-simplify]: Simplify 1/2 into 1/2 3.508 * [taylor]: Taking taylor expansion of (/ x y) in x 3.508 * [taylor]: Taking taylor expansion of x in x 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [taylor]: Taking taylor expansion of y in x 3.508 * [backup-simplify]: Simplify y into y 3.508 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.508 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 3.508 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.508 * [taylor]: Taking taylor expansion of x in y 3.508 * [backup-simplify]: Simplify x into x 3.508 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.509 * [taylor]: Taking taylor expansion of 1/2 in y 3.509 * [backup-simplify]: Simplify 1/2 into 1/2 3.509 * [taylor]: Taking taylor expansion of (/ x y) in y 3.509 * [taylor]: Taking taylor expansion of x in y 3.509 * [backup-simplify]: Simplify x into x 3.509 * [taylor]: Taking taylor expansion of y in y 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 1 into 1 3.509 * [backup-simplify]: Simplify (/ x 1) into x 3.509 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 3.509 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.509 * [taylor]: Taking taylor expansion of x in y 3.509 * [backup-simplify]: Simplify x into x 3.509 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.509 * [taylor]: Taking taylor expansion of 1/2 in y 3.509 * [backup-simplify]: Simplify 1/2 into 1/2 3.509 * [taylor]: Taking taylor expansion of (/ x y) in y 3.509 * [taylor]: Taking taylor expansion of x in y 3.509 * [backup-simplify]: Simplify x into x 3.509 * [taylor]: Taking taylor expansion of y in y 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 1 into 1 3.509 * [backup-simplify]: Simplify (/ x 1) into x 3.509 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 3.509 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 3.509 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x)) 3.509 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 3.509 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.509 * [taylor]: Taking taylor expansion of 1/2 in x 3.509 * [backup-simplify]: Simplify 1/2 into 1/2 3.509 * [taylor]: Taking taylor expansion of x in x 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 1 into 1 3.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 3.511 * [backup-simplify]: Simplify (- 0) into 0 3.511 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 3.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.511 * [taylor]: Taking taylor expansion of x in x 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 1 into 1 3.511 * [backup-simplify]: Simplify (/ 1 1) into 1 3.511 * [backup-simplify]: Simplify 1 into 1 3.511 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.511 * [backup-simplify]: Simplify (- 0) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.513 * [backup-simplify]: Simplify (- 0) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.513 * [taylor]: Taking taylor expansion of 0 in x 3.513 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.515 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.515 * [backup-simplify]: Simplify -1/2 into -1/2 3.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.517 * [backup-simplify]: Simplify (- 0) into 0 3.517 * [backup-simplify]: Simplify (+ 0 0) into 0 3.517 * [taylor]: Taking taylor expansion of 0 in x 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.518 * [backup-simplify]: Simplify (- 0) into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.521 * [backup-simplify]: Simplify (- 0) into 0 3.522 * [backup-simplify]: Simplify (+ 0 0) into 0 3.522 * [taylor]: Taking taylor expansion of 0 in x 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x)))) 3.523 * * * [progress]: simplifying candidates 3.523 * [simplify]: Simplifying: (* -1/2 (/ y x)) (+ (log -1/2) (- (log y) (log x))) (+ (log -1/2) (log (/ y x))) (log (* -1/2 (/ y x))) (exp (* -1/2 (/ y x))) (* (* (* -1/2 -1/2) -1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* -1/2 -1/2) -1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* -1/2 (sqrt (/ y x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* -1/2 (/ (sqrt y) 1)) (* -1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* -1/2 (/ 1 (sqrt x))) (* -1/2 (/ 1 1)) (* -1/2 1) (* -1/2 y) (* (cbrt -1/2) (/ y x)) (* (sqrt -1/2) (/ y x)) (* -1/2 (/ y x)) (* -1/2 y) (/ (exp (* -1/2 (/ y x))) (exp x)) (log (- (* -1/2 (/ y x)) x)) (exp (- (* -1/2 (/ y x)) x)) (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x))) (cbrt (- (* -1/2 (/ y x)) x)) (* (* (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x)) (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (- (pow (* -1/2 (/ y x)) 3) (pow x 3)) (+ (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (+ (* x x) (* (* -1/2 (/ y x)) x))) (- x) (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x)) (+ (* -1/2 (/ y x)) x) (- x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) 3.524 * * [simplify]: Extracting # 0 : cost 41 inf + 0 3.524 * * [simplify]: Extracting # 1 : cost 74 inf + 0 3.524 * * [simplify]: Extracting # 2 : cost 80 inf + 198 3.525 * * [simplify]: Extracting # 3 : cost 51 inf + 3673 3.526 * * [simplify]: Extracting # 4 : cost 16 inf + 9706 3.527 * * [simplify]: Extracting # 5 : cost 8 inf + 11003 3.528 * * [simplify]: Extracting # 6 : cost 1 inf + 12542 3.529 * * [simplify]: Extracting # 7 : cost 0 inf + 12865 3.530 * * [simplify]: iteration 0 : 92 enodes (cost 9102 ) 3.555 * * [simplify]: Extracting # 0 : cost 0 inf + 12865 3.558 * * [simplify]: Extracting # 1 : cost 43 inf + 10325 3.562 * * [simplify]: Extracting # 2 : cost 3 inf + 15742 3.566 * * [simplify]: Extracting # 3 : cost 1 inf + 15997 3.570 * * [simplify]: Extracting # 4 : cost 0 inf + 16169 3.574 * * [simplify]: iteration 1 : 234 enodes (cost 8035 ) 3.680 * * [simplify]: Extracting # 0 : cost 0 inf + 16169 3.684 * * [simplify]: Extracting # 1 : cost 175 inf + 14087 3.691 * * [simplify]: Extracting # 2 : cost 5 inf + 40998 3.698 * * [simplify]: Extracting # 3 : cost 5 inf + 40999 3.705 * * [simplify]: Extracting # 4 : cost 2 inf + 41506 3.719 * * [simplify]: Extracting # 5 : cost 0 inf + 41953 3.731 * * [simplify]: iteration 2 : 732 enodes (cost 7835 ) 4.395 * * [simplify]: Extracting # 0 : cost 0 inf + 41953 4.426 * * [simplify]: Extracting # 1 : cost 835 inf + 29122 4.472 * * [simplify]: Extracting # 2 : cost 6 inf + 168650 4.505 * * [simplify]: Extracting # 3 : cost 2 inf + 169501 4.539 * * [simplify]: Extracting # 4 : cost 0 inf + 170007 4.569 * * [simplify]: iteration 3 : 3394 enodes (cost 7835 ) 5.548 * * [simplify]: Extracting # 0 : cost 0 inf + 170007 5.613 * * [simplify]: Extracting # 1 : cost 682 inf + 164458 5.686 * * [simplify]: Extracting # 2 : cost 0 inf + 314773 5.749 * * [simplify]: iteration done: 5000 enodes (cost 7835 ) 5.749 * [simplify]: Simplified to: (* -1/2 (/ y x)) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (exp (* -1/2 (/ y x))) (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x))) (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x))) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* -1/2 (sqrt (/ y x))) (* -1/2 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* -1/2 (* (cbrt y) (cbrt y))) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* -1/2 (sqrt y)) (/ -1/2 (* (cbrt x) (cbrt x))) (/ -1/2 (sqrt x)) -1/2 -1/2 (* y -1/2) (* (cbrt -1/2) (/ y x)) (* (sqrt -1/2) (/ y x)) (* -1/2 (/ y x)) (* y -1/2) (exp (- (* -1/2 (/ y x)) x)) (log (- (* -1/2 (/ y x)) x)) (exp (- (* -1/2 (/ y x)) x)) (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x))) (cbrt (- (* -1/2 (/ y x)) x)) (* (* (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x)) (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (- (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x))) (* (* x x) x)) (+ (* x (+ (* -1/2 (/ y x)) x)) (* (* -1/2 (/ y x)) (* -1/2 (/ y x)))) (- x) (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x)) (+ (* -1/2 (/ y x)) x) (- x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) 5.753 * * * [progress]: adding candidates to table 5.948 * * [progress]: iteration 4 / 4 5.948 * * * [progress]: picking best candidate 5.951 * * * * [pick]: Picked # 5.951 * * * [progress]: localizing error 5.958 * * * [progress]: generating rewritten candidates 5.958 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 5.972 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.978 * * * [progress]: generating series expansions 5.978 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 5.978 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 5.978 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 5.978 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.978 * [taylor]: Taking taylor expansion of 1/2 in x 5.978 * [backup-simplify]: Simplify 1/2 into 1/2 5.978 * [taylor]: Taking taylor expansion of (/ y x) in x 5.978 * [taylor]: Taking taylor expansion of y in x 5.978 * [backup-simplify]: Simplify y into y 5.978 * [taylor]: Taking taylor expansion of x in x 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 1 into 1 5.978 * [backup-simplify]: Simplify (/ y 1) into y 5.978 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.978 * [taylor]: Taking taylor expansion of 1/2 in y 5.978 * [backup-simplify]: Simplify 1/2 into 1/2 5.978 * [taylor]: Taking taylor expansion of (/ y x) in y 5.978 * [taylor]: Taking taylor expansion of y in y 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 1 into 1 5.978 * [taylor]: Taking taylor expansion of x in y 5.978 * [backup-simplify]: Simplify x into x 5.978 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.979 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.979 * [taylor]: Taking taylor expansion of 1/2 in y 5.979 * [backup-simplify]: Simplify 1/2 into 1/2 5.979 * [taylor]: Taking taylor expansion of (/ y x) in y 5.979 * [taylor]: Taking taylor expansion of y in y 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify 1 into 1 5.979 * [taylor]: Taking taylor expansion of x in y 5.979 * [backup-simplify]: Simplify x into x 5.979 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.979 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 5.979 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.979 * [taylor]: Taking taylor expansion of 1/2 in x 5.979 * [backup-simplify]: Simplify 1/2 into 1/2 5.979 * [taylor]: Taking taylor expansion of x in x 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify 1 into 1 5.979 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.979 * [backup-simplify]: Simplify 1/2 into 1/2 5.980 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 5.980 * [taylor]: Taking taylor expansion of 0 in x 5.980 * [backup-simplify]: Simplify 0 into 0 5.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.981 * [backup-simplify]: Simplify 0 into 0 5.981 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 5.982 * [taylor]: Taking taylor expansion of 0 in x 5.982 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.984 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 5.985 * [taylor]: Taking taylor expansion of 0 in x 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 5.987 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 5.987 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 5.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.987 * [taylor]: Taking taylor expansion of 1/2 in x 5.987 * [backup-simplify]: Simplify 1/2 into 1/2 5.987 * [taylor]: Taking taylor expansion of (/ x y) in x 5.987 * [taylor]: Taking taylor expansion of x in x 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [taylor]: Taking taylor expansion of y in x 5.987 * [backup-simplify]: Simplify y into y 5.987 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.987 * [taylor]: Taking taylor expansion of 1/2 in y 5.987 * [backup-simplify]: Simplify 1/2 into 1/2 5.987 * [taylor]: Taking taylor expansion of (/ x y) in y 5.987 * [taylor]: Taking taylor expansion of x in y 5.987 * [backup-simplify]: Simplify x into x 5.987 * [taylor]: Taking taylor expansion of y in y 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (/ x 1) into x 5.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.987 * [taylor]: Taking taylor expansion of 1/2 in y 5.987 * [backup-simplify]: Simplify 1/2 into 1/2 5.987 * [taylor]: Taking taylor expansion of (/ x y) in y 5.987 * [taylor]: Taking taylor expansion of x in y 5.987 * [backup-simplify]: Simplify x into x 5.987 * [taylor]: Taking taylor expansion of y in y 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (/ x 1) into x 5.988 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 5.988 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.988 * [taylor]: Taking taylor expansion of 1/2 in x 5.988 * [backup-simplify]: Simplify 1/2 into 1/2 5.988 * [taylor]: Taking taylor expansion of x in x 5.988 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify 1 into 1 5.988 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.989 * [backup-simplify]: Simplify 1/2 into 1/2 5.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 5.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 5.990 * [taylor]: Taking taylor expansion of 0 in x 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.991 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 5.993 * [taylor]: Taking taylor expansion of 0 in x 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.994 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.998 * [taylor]: Taking taylor expansion of 0 in x 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 5.998 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 5.998 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 5.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.998 * [taylor]: Taking taylor expansion of 1/2 in x 5.998 * [backup-simplify]: Simplify 1/2 into 1/2 5.998 * [taylor]: Taking taylor expansion of (/ x y) in x 5.998 * [taylor]: Taking taylor expansion of x in x 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify 1 into 1 5.998 * [taylor]: Taking taylor expansion of y in x 5.998 * [backup-simplify]: Simplify y into y 5.998 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.998 * [taylor]: Taking taylor expansion of 1/2 in y 5.998 * [backup-simplify]: Simplify 1/2 into 1/2 5.998 * [taylor]: Taking taylor expansion of (/ x y) in y 5.999 * [taylor]: Taking taylor expansion of x in y 5.999 * [backup-simplify]: Simplify x into x 5.999 * [taylor]: Taking taylor expansion of y in y 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 1 into 1 5.999 * [backup-simplify]: Simplify (/ x 1) into x 5.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.999 * [taylor]: Taking taylor expansion of 1/2 in y 5.999 * [backup-simplify]: Simplify 1/2 into 1/2 5.999 * [taylor]: Taking taylor expansion of (/ x y) in y 5.999 * [taylor]: Taking taylor expansion of x in y 5.999 * [backup-simplify]: Simplify x into x 5.999 * [taylor]: Taking taylor expansion of y in y 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 1 into 1 5.999 * [backup-simplify]: Simplify (/ x 1) into x 5.999 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 5.999 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.999 * [taylor]: Taking taylor expansion of 1/2 in x 5.999 * [backup-simplify]: Simplify 1/2 into 1/2 5.999 * [taylor]: Taking taylor expansion of x in x 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 1 into 1 6.000 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.000 * [backup-simplify]: Simplify 1/2 into 1/2 6.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 6.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 6.002 * [taylor]: Taking taylor expansion of 0 in x 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.003 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 6.005 * [taylor]: Taking taylor expansion of 0 in x 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.006 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.009 * [taylor]: Taking taylor expansion of 0 in x 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 6.010 * * * * [progress]: [ 2 / 2 ] generating series at (2) 6.010 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 6.010 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 6.010 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 6.010 * [taylor]: Taking taylor expansion of x in y 6.010 * [backup-simplify]: Simplify x into x 6.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 6.010 * [taylor]: Taking taylor expansion of 1/2 in y 6.010 * [backup-simplify]: Simplify 1/2 into 1/2 6.010 * [taylor]: Taking taylor expansion of (/ y x) in y 6.010 * [taylor]: Taking taylor expansion of y in y 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [taylor]: Taking taylor expansion of x in y 6.010 * [backup-simplify]: Simplify x into x 6.010 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.010 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 6.010 * [taylor]: Taking taylor expansion of x in x 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 6.010 * [taylor]: Taking taylor expansion of 1/2 in x 6.010 * [backup-simplify]: Simplify 1/2 into 1/2 6.010 * [taylor]: Taking taylor expansion of (/ y x) in x 6.010 * [taylor]: Taking taylor expansion of y in x 6.010 * [backup-simplify]: Simplify y into y 6.011 * [taylor]: Taking taylor expansion of x in x 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [backup-simplify]: Simplify (/ y 1) into y 6.011 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 6.011 * [taylor]: Taking taylor expansion of x in x 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 6.011 * [taylor]: Taking taylor expansion of 1/2 in x 6.011 * [backup-simplify]: Simplify 1/2 into 1/2 6.011 * [taylor]: Taking taylor expansion of (/ y x) in x 6.011 * [taylor]: Taking taylor expansion of y in x 6.011 * [backup-simplify]: Simplify y into y 6.011 * [taylor]: Taking taylor expansion of x in x 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [backup-simplify]: Simplify (/ y 1) into y 6.011 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 6.011 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 6.011 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 6.011 * [taylor]: Taking taylor expansion of 1/2 in y 6.011 * [backup-simplify]: Simplify 1/2 into 1/2 6.011 * [taylor]: Taking taylor expansion of y in y 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.012 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 6.014 * [backup-simplify]: Simplify (+ 0 0) into 0 6.014 * [taylor]: Taking taylor expansion of 0 in y 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.015 * [backup-simplify]: Simplify 1/2 into 1/2 6.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 6.017 * [backup-simplify]: Simplify (+ 1 0) into 1 6.017 * [taylor]: Taking taylor expansion of 1 in y 6.017 * [backup-simplify]: Simplify 1 into 1 6.017 * [backup-simplify]: Simplify 1 into 1 6.017 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.018 * [backup-simplify]: Simplify 0 into 0 6.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.022 * [backup-simplify]: Simplify (+ 0 0) into 0 6.022 * [taylor]: Taking taylor expansion of 0 in y 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 6.023 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 6.024 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 6.024 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 6.024 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.024 * [taylor]: Taking taylor expansion of 1/2 in y 6.024 * [backup-simplify]: Simplify 1/2 into 1/2 6.024 * [taylor]: Taking taylor expansion of (/ x y) in y 6.024 * [taylor]: Taking taylor expansion of x in y 6.024 * [backup-simplify]: Simplify x into x 6.024 * [taylor]: Taking taylor expansion of y in y 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.024 * [backup-simplify]: Simplify (/ x 1) into x 6.024 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.024 * [taylor]: Taking taylor expansion of x in y 6.024 * [backup-simplify]: Simplify x into x 6.024 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.024 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 6.024 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.024 * [taylor]: Taking taylor expansion of 1/2 in x 6.024 * [backup-simplify]: Simplify 1/2 into 1/2 6.024 * [taylor]: Taking taylor expansion of (/ x y) in x 6.024 * [taylor]: Taking taylor expansion of x in x 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.024 * [taylor]: Taking taylor expansion of y in x 6.024 * [backup-simplify]: Simplify y into y 6.024 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.024 * [taylor]: Taking taylor expansion of x in x 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.025 * [backup-simplify]: Simplify (/ 1 1) into 1 6.025 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 6.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.025 * [taylor]: Taking taylor expansion of 1/2 in x 6.025 * [backup-simplify]: Simplify 1/2 into 1/2 6.025 * [taylor]: Taking taylor expansion of (/ x y) in x 6.025 * [taylor]: Taking taylor expansion of x in x 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 1 into 1 6.025 * [taylor]: Taking taylor expansion of y in x 6.025 * [backup-simplify]: Simplify y into y 6.025 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.025 * [taylor]: Taking taylor expansion of x in x 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 1 into 1 6.026 * [backup-simplify]: Simplify (/ 1 1) into 1 6.026 * [backup-simplify]: Simplify (+ 0 1) into 1 6.026 * [taylor]: Taking taylor expansion of 1 in y 6.026 * [backup-simplify]: Simplify 1 into 1 6.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.027 * [backup-simplify]: Simplify (+ 0 0) into 0 6.027 * [taylor]: Taking taylor expansion of 0 in y 6.027 * [backup-simplify]: Simplify 0 into 0 6.027 * [backup-simplify]: Simplify 1 into 1 6.028 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 6.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.029 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 6.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 6.029 * [taylor]: Taking taylor expansion of 1/2 in y 6.029 * [backup-simplify]: Simplify 1/2 into 1/2 6.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.029 * [taylor]: Taking taylor expansion of y in y 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.029 * [backup-simplify]: Simplify (/ 1 1) into 1 6.030 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.030 * [backup-simplify]: Simplify 1/2 into 1/2 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 6.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.032 * [backup-simplify]: Simplify (+ 0 0) into 0 6.032 * [taylor]: Taking taylor expansion of 0 in y 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.036 * [backup-simplify]: Simplify (+ 0 0) into 0 6.036 * [taylor]: Taking taylor expansion of 0 in y 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 6.036 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 6.036 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 6.036 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 6.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.036 * [taylor]: Taking taylor expansion of 1/2 in y 6.036 * [backup-simplify]: Simplify 1/2 into 1/2 6.037 * [taylor]: Taking taylor expansion of (/ x y) in y 6.037 * [taylor]: Taking taylor expansion of x in y 6.037 * [backup-simplify]: Simplify x into x 6.037 * [taylor]: Taking taylor expansion of y in y 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.037 * [backup-simplify]: Simplify (/ x 1) into x 6.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.037 * [taylor]: Taking taylor expansion of x in y 6.037 * [backup-simplify]: Simplify x into x 6.037 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.037 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 6.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.037 * [taylor]: Taking taylor expansion of 1/2 in x 6.037 * [backup-simplify]: Simplify 1/2 into 1/2 6.037 * [taylor]: Taking taylor expansion of (/ x y) in x 6.037 * [taylor]: Taking taylor expansion of x in x 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.037 * [taylor]: Taking taylor expansion of y in x 6.037 * [backup-simplify]: Simplify y into y 6.037 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.037 * [taylor]: Taking taylor expansion of x in x 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (/ 1 1) into 1 6.038 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 6.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.038 * [taylor]: Taking taylor expansion of 1/2 in x 6.038 * [backup-simplify]: Simplify 1/2 into 1/2 6.038 * [taylor]: Taking taylor expansion of (/ x y) in x 6.038 * [taylor]: Taking taylor expansion of x in x 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [taylor]: Taking taylor expansion of y in x 6.038 * [backup-simplify]: Simplify y into y 6.038 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.038 * [taylor]: Taking taylor expansion of x in x 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (/ 1 1) into 1 6.039 * [backup-simplify]: Simplify (- 1) into -1 6.039 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.039 * [taylor]: Taking taylor expansion of -1 in y 6.039 * [backup-simplify]: Simplify -1 into -1 6.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.040 * [backup-simplify]: Simplify (- 0) into 0 6.040 * [backup-simplify]: Simplify (+ 0 0) into 0 6.040 * [taylor]: Taking taylor expansion of 0 in y 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify -1 into -1 6.040 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 6.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.041 * [backup-simplify]: Simplify (- 0) into 0 6.041 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 6.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 6.041 * [taylor]: Taking taylor expansion of 1/2 in y 6.041 * [backup-simplify]: Simplify 1/2 into 1/2 6.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.041 * [taylor]: Taking taylor expansion of y in y 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 1 into 1 6.041 * [backup-simplify]: Simplify (/ 1 1) into 1 6.042 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.042 * [backup-simplify]: Simplify 1/2 into 1/2 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 6.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 6.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.043 * [backup-simplify]: Simplify (- 0) into 0 6.043 * [backup-simplify]: Simplify (+ 0 0) into 0 6.043 * [taylor]: Taking taylor expansion of 0 in y 6.043 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 6.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.046 * [backup-simplify]: Simplify (- 0) into 0 6.046 * [backup-simplify]: Simplify (+ 0 0) into 0 6.046 * [taylor]: Taking taylor expansion of 0 in y 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 6.046 * * * [progress]: simplifying candidates 6.047 * [simplify]: Simplifying: (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* (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))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 6.047 * * [simplify]: Extracting # 0 : cost 40 inf + 0 6.048 * * [simplify]: Extracting # 1 : cost 71 inf + 0 6.048 * * [simplify]: Extracting # 2 : cost 77 inf + 157 6.048 * * [simplify]: Extracting # 3 : cost 46 inf + 3926 6.049 * * [simplify]: Extracting # 4 : cost 13 inf + 9664 6.050 * * [simplify]: Extracting # 5 : cost 7 inf + 10755 6.051 * * [simplify]: Extracting # 6 : cost 1 inf + 12131 6.053 * * [simplify]: Extracting # 7 : cost 0 inf + 12454 6.056 * * [simplify]: iteration 0 : 87 enodes (cost 8900 ) 6.077 * * [simplify]: Extracting # 0 : cost 0 inf + 12454 6.079 * * [simplify]: Extracting # 1 : cost 51 inf + 10125 6.081 * * [simplify]: Extracting # 2 : cost 3 inf + 17000 6.084 * * [simplify]: Extracting # 3 : cost 2 inf + 16921 6.086 * * [simplify]: Extracting # 4 : cost 0 inf + 17387 6.089 * * [simplify]: iteration 1 : 238 enodes (cost 7833 ) 6.182 * * [simplify]: Extracting # 0 : cost 0 inf + 17387 6.186 * * [simplify]: Extracting # 1 : cost 191 inf + 14739 6.199 * * [simplify]: Extracting # 2 : cost 5 inf + 42893 6.214 * * [simplify]: Extracting # 3 : cost 3 inf + 43360 6.227 * * [simplify]: Extracting # 4 : cost 2 inf + 43321 6.243 * * [simplify]: Extracting # 5 : cost 0 inf + 43728 6.255 * * [simplify]: iteration 2 : 805 enodes (cost 7753 ) 7.083 * * [simplify]: Extracting # 0 : cost 0 inf + 43728 7.121 * * [simplify]: Extracting # 1 : cost 763 inf + 29790 7.172 * * [simplify]: Extracting # 2 : cost 5 inf + 163661 7.215 * * [simplify]: Extracting # 3 : cost 2 inf + 163909 7.277 * * [simplify]: Extracting # 4 : cost 0 inf + 164415 7.328 * * [simplify]: iteration 3 : 3513 enodes (cost 7752 ) 8.016 * * [simplify]: Extracting # 0 : cost 0 inf + 164415 8.078 * * [simplify]: Extracting # 1 : cost 592 inf + 160937 8.139 * * [simplify]: Extracting # 2 : cost 0 inf + 298261 8.228 * * [simplify]: iteration done: 5000 enodes (cost 7752 ) 8.229 * [simplify]: Simplified to: (* (/ y x) 1/2) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (sqrt (exp (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (* (cbrt y) (cbrt y))) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (sqrt y)) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* (/ y x) 1/2) (* 1/2 y) (exp (+ x (* 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)))) (+ (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (* (* x x) x)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* (/ y x) 1/2) (* (/ y x) 1/2) (* (/ y x) 1/2) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 8.232 * * * [progress]: adding candidates to table 8.389 * [progress]: [Phase 3 of 3] Extracting. 8.389 * * [regime]: Finding splitpoints for: (# # # #) 8.390 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 8.390 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 8.428 * * * * [regimes]: Trying to branch on (* x x) from (# #) 8.451 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 8.501 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 8.525 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 8.596 * * * * [regimes]: Trying to branch on y from (# # # #) 8.665 * * * * [regimes]: Trying to branch on x from (# # # #) 8.727 * * * [regime]: Found split indices: #