33.504 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: Extracting # 3 : cost 0 0.031 * * [simplify]: Extracting # 4 : cost 0 0.031 * * [simplify]: Extracting # 5 : cost 0 0.031 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: iteration done: 6 enodes (cost 6 ) 0.034 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.066 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.066 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [backup-simplify]: Simplify x into x 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.066 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.066 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.066 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.067 * [backup-simplify]: Simplify (+ 0 1) into 1 0.067 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (+ 0 y) into y 0.067 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (+ 0 y) into y 0.067 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.068 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (sqrt 0) into 0 0.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.069 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (+ 1 0) into 1 0.070 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.070 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.070 * [taylor]: Taking taylor expansion of 1/2 in y 0.070 * [backup-simplify]: Simplify 1/2 into 1/2 0.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [backup-simplify]: Simplify (sqrt 0) into 0 0.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.073 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.073 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.073 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.075 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.075 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.075 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.075 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [backup-simplify]: Simplify x into x 0.075 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.076 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [backup-simplify]: Simplify (+ 0 1) into 1 0.076 * [backup-simplify]: Simplify (sqrt 0) into 0 0.077 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.078 * [backup-simplify]: Simplify (+ 1 0) into 1 0.078 * [backup-simplify]: Simplify (sqrt 1) into 1 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [backup-simplify]: Simplify (sqrt 1) into 1 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.085 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.085 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.085 * [taylor]: Taking taylor expansion of 1/2 in y 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.090 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of -1/8 in y 0.090 * [backup-simplify]: Simplify -1/8 into -1/8 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.092 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.092 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [backup-simplify]: Simplify x into x 0.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 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 0.092 * [backup-simplify]: Simplify (- 1) into -1 0.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.093 * [backup-simplify]: Simplify (sqrt 0) into 0 0.094 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.094 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.094 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (sqrt 1) into 1 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [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 (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.097 * [backup-simplify]: Simplify (+ 1 0) into 1 0.098 * [backup-simplify]: Simplify (sqrt 1) into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.100 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.101 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.101 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.101 * [taylor]: Taking taylor expansion of -1/2 in y 0.101 * [backup-simplify]: Simplify -1/2 into -1/2 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.102 * [backup-simplify]: Simplify -1/2 into -1/2 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [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 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.107 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of -1/8 in y 0.107 * [backup-simplify]: Simplify -1/8 into -1/8 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.109 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.109 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.109 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [backup-simplify]: Simplify x into x 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (+ 0 y) into y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [taylor]: Taking taylor expansion of 1 in y 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.112 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.112 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [backup-simplify]: Simplify x into x 0.112 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.112 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [backup-simplify]: Simplify y into y 0.113 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [backup-simplify]: Simplify y into y 0.114 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.120 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.120 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.120 * [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 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [backup-simplify]: Simplify y into y 0.127 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.127 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [backup-simplify]: Simplify y into y 0.128 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.128 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [taylor]: Taking taylor expansion of 1 in y 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.131 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [backup-simplify]: Simplify (- 1) into -1 0.131 * [backup-simplify]: Simplify -1 into -1 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.136 * * * [progress]: simplifying candidates 0.136 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.137 * * [simplify]: Extracting # 0 : cost 0 0.137 * * [simplify]: Extracting # 1 : cost 0 0.137 * * [simplify]: Extracting # 2 : cost 0 0.137 * * [simplify]: Extracting # 3 : cost 0 0.137 * * [simplify]: Extracting # 4 : cost 0 0.137 * * [simplify]: Extracting # 5 : cost 0 0.137 * * [simplify]: Extracting # 6 : cost 0 0.137 * * [simplify]: Extracting # 7 : cost 0 0.138 * * [simplify]: Extracting # 8 : cost 0 0.138 * * [simplify]: Extracting # 9 : cost 0 0.138 * * [simplify]: Extracting # 10 : cost 0 0.138 * * [simplify]: iteration 0 : 59 enodes (cost 319 ) 0.150 * * [simplify]: Extracting # 0 : cost 0 0.151 * * [simplify]: Extracting # 1 : cost 0 0.151 * * [simplify]: Extracting # 2 : cost 0 0.151 * * [simplify]: Extracting # 3 : cost 0 0.151 * * [simplify]: Extracting # 4 : cost 0 0.151 * * [simplify]: iteration 1 : 140 enodes (cost 294 ) 0.196 * * [simplify]: Extracting # 0 : cost 0 0.196 * * [simplify]: Extracting # 1 : cost 0 0.197 * * [simplify]: Extracting # 2 : cost 0 0.197 * * [simplify]: Extracting # 3 : cost 0 0.197 * * [simplify]: Extracting # 4 : cost 0 0.197 * * [simplify]: iteration 2 : 347 enodes (cost 258 ) 0.330 * * [simplify]: Extracting # 0 : cost 0 0.331 * * [simplify]: Extracting # 1 : cost 0 0.332 * * [simplify]: Extracting # 2 : cost 0 0.333 * * [simplify]: Extracting # 3 : cost 0 0.333 * * [simplify]: Extracting # 4 : cost 0 0.334 * * [simplify]: iteration 3 : 826 enodes (cost 255 ) 0.844 * * [simplify]: Extracting # 0 : cost 0 0.847 * * [simplify]: Extracting # 1 : cost 0 0.850 * * [simplify]: Extracting # 2 : cost 0 0.853 * * [simplify]: Extracting # 3 : cost 0 0.856 * * [simplify]: Extracting # 4 : cost 0 0.859 * * [simplify]: iteration 4 : 2004 enodes (cost 254 ) 3.008 * * [simplify]: Extracting # 0 : cost 0 3.014 * * [simplify]: Extracting # 1 : cost 0 3.018 * * [simplify]: Extracting # 2 : cost 0 3.021 * * [simplify]: Extracting # 3 : cost 0 3.024 * * [simplify]: Extracting # 4 : cost 0 3.027 * * [simplify]: Extracting # 5 : cost 0 3.035 * * [simplify]: iteration 5 : 4212 enodes (cost 254 ) 4.406 * * [simplify]: Extracting # 0 : cost 0 4.412 * * [simplify]: Extracting # 1 : cost 0 4.418 * * [simplify]: Extracting # 2 : cost 0 4.424 * * [simplify]: Extracting # 3 : cost 0 4.430 * * [simplify]: Extracting # 4 : cost 0 4.436 * * [simplify]: iteration done: 5000 enodes (cost 254 ) 4.437 * [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))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ y (* x x))) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* 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)) (pow (+ y (* x x)) 3) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (pow y 3) (pow x 6)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* x x) y) (* (- (- (* y y) y) (* x x)) +nan.0) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) 4.437 * * * [progress]: adding candidates to table 4.544 * * [progress]: iteration 2 / 4 4.544 * * * [progress]: picking best candidate 4.546 * * * * [pick]: Picked # 4.546 * * * [progress]: localizing error 4.551 * * * [progress]: generating rewritten candidates 4.551 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 4.566 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.574 * * * [progress]: generating series expansions 4.574 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 4.574 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 4.574 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 4.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.574 * [taylor]: Taking taylor expansion of 1/2 in x 4.574 * [backup-simplify]: Simplify 1/2 into 1/2 4.574 * [taylor]: Taking taylor expansion of (/ y x) in x 4.574 * [taylor]: Taking taylor expansion of y in x 4.574 * [backup-simplify]: Simplify y into y 4.574 * [taylor]: Taking taylor expansion of x in x 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 1 into 1 4.574 * [backup-simplify]: Simplify (/ y 1) into y 4.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.574 * [taylor]: Taking taylor expansion of 1/2 in y 4.574 * [backup-simplify]: Simplify 1/2 into 1/2 4.574 * [taylor]: Taking taylor expansion of (/ y x) in y 4.575 * [taylor]: Taking taylor expansion of y in y 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [taylor]: Taking taylor expansion of x in y 4.575 * [backup-simplify]: Simplify x into x 4.575 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.575 * [taylor]: Taking taylor expansion of 1/2 in y 4.575 * [backup-simplify]: Simplify 1/2 into 1/2 4.575 * [taylor]: Taking taylor expansion of (/ y x) in y 4.575 * [taylor]: Taking taylor expansion of y in y 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [taylor]: Taking taylor expansion of x in y 4.575 * [backup-simplify]: Simplify x into x 4.575 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.575 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 4.575 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.575 * [taylor]: Taking taylor expansion of 1/2 in x 4.575 * [backup-simplify]: Simplify 1/2 into 1/2 4.575 * [taylor]: Taking taylor expansion of x in x 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.575 * [backup-simplify]: Simplify 1/2 into 1/2 4.576 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 4.576 * [taylor]: Taking taylor expansion of 0 in x 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.577 * [taylor]: Taking taylor expansion of 0 in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.579 * [taylor]: Taking taylor expansion of 0 in x 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 4.580 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 4.580 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 4.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.580 * [taylor]: Taking taylor expansion of 1/2 in x 4.580 * [backup-simplify]: Simplify 1/2 into 1/2 4.580 * [taylor]: Taking taylor expansion of (/ x y) in x 4.580 * [taylor]: Taking taylor expansion of x in x 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 1 into 1 4.580 * [taylor]: Taking taylor expansion of y in x 4.580 * [backup-simplify]: Simplify y into y 4.580 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.580 * [taylor]: Taking taylor expansion of 1/2 in y 4.580 * [backup-simplify]: Simplify 1/2 into 1/2 4.580 * [taylor]: Taking taylor expansion of (/ x y) in y 4.580 * [taylor]: Taking taylor expansion of x in y 4.580 * [backup-simplify]: Simplify x into x 4.580 * [taylor]: Taking taylor expansion of y in y 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 1 into 1 4.580 * [backup-simplify]: Simplify (/ x 1) into x 4.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.580 * [taylor]: Taking taylor expansion of 1/2 in y 4.580 * [backup-simplify]: Simplify 1/2 into 1/2 4.580 * [taylor]: Taking taylor expansion of (/ x y) in y 4.580 * [taylor]: Taking taylor expansion of x in y 4.580 * [backup-simplify]: Simplify x into x 4.580 * [taylor]: Taking taylor expansion of y in y 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 1 into 1 4.580 * [backup-simplify]: Simplify (/ x 1) into x 4.580 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.580 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.580 * [taylor]: Taking taylor expansion of 1/2 in x 4.580 * [backup-simplify]: Simplify 1/2 into 1/2 4.580 * [taylor]: Taking taylor expansion of x in x 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.581 * [backup-simplify]: Simplify 1/2 into 1/2 4.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.582 * [taylor]: Taking taylor expansion of 0 in x 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.582 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.583 * [taylor]: Taking taylor expansion of 0 in x 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.586 * [taylor]: Taking taylor expansion of 0 in x 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 4.586 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 4.586 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 4.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.586 * [taylor]: Taking taylor expansion of 1/2 in x 4.586 * [backup-simplify]: Simplify 1/2 into 1/2 4.586 * [taylor]: Taking taylor expansion of (/ x y) in x 4.586 * [taylor]: Taking taylor expansion of x in x 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [taylor]: Taking taylor expansion of y in x 4.586 * [backup-simplify]: Simplify y into y 4.586 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.586 * [taylor]: Taking taylor expansion of 1/2 in y 4.586 * [backup-simplify]: Simplify 1/2 into 1/2 4.586 * [taylor]: Taking taylor expansion of (/ x y) in y 4.586 * [taylor]: Taking taylor expansion of x in y 4.586 * [backup-simplify]: Simplify x into x 4.586 * [taylor]: Taking taylor expansion of y in y 4.586 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.587 * [backup-simplify]: Simplify (/ x 1) into x 4.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.587 * [taylor]: Taking taylor expansion of 1/2 in y 4.587 * [backup-simplify]: Simplify 1/2 into 1/2 4.587 * [taylor]: Taking taylor expansion of (/ x y) in y 4.587 * [taylor]: Taking taylor expansion of x in y 4.587 * [backup-simplify]: Simplify x into x 4.587 * [taylor]: Taking taylor expansion of y in y 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.587 * [backup-simplify]: Simplify (/ x 1) into x 4.587 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.587 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.587 * [taylor]: Taking taylor expansion of 1/2 in x 4.587 * [backup-simplify]: Simplify 1/2 into 1/2 4.587 * [taylor]: Taking taylor expansion of x in x 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.587 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.587 * [backup-simplify]: Simplify 1/2 into 1/2 4.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.588 * [taylor]: Taking taylor expansion of 0 in x 4.588 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.589 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.590 * [taylor]: Taking taylor expansion of 0 in x 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.591 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.593 * [taylor]: Taking taylor expansion of 0 in x 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 4.593 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.593 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 4.593 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 4.593 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 4.593 * [taylor]: Taking taylor expansion of x in y 4.593 * [backup-simplify]: Simplify x into x 4.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.593 * [taylor]: Taking taylor expansion of 1/2 in y 4.593 * [backup-simplify]: Simplify 1/2 into 1/2 4.593 * [taylor]: Taking taylor expansion of (/ y x) in y 4.593 * [taylor]: Taking taylor expansion of y in y 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [taylor]: Taking taylor expansion of x in y 4.593 * [backup-simplify]: Simplify x into x 4.594 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.594 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 4.594 * [taylor]: Taking taylor expansion of x in x 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.594 * [taylor]: Taking taylor expansion of 1/2 in x 4.594 * [backup-simplify]: Simplify 1/2 into 1/2 4.594 * [taylor]: Taking taylor expansion of (/ y x) in x 4.594 * [taylor]: Taking taylor expansion of y in x 4.594 * [backup-simplify]: Simplify y into y 4.594 * [taylor]: Taking taylor expansion of x in x 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [backup-simplify]: Simplify (/ y 1) into y 4.594 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 4.594 * [taylor]: Taking taylor expansion of x in x 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.594 * [taylor]: Taking taylor expansion of 1/2 in x 4.594 * [backup-simplify]: Simplify 1/2 into 1/2 4.594 * [taylor]: Taking taylor expansion of (/ y x) in x 4.594 * [taylor]: Taking taylor expansion of y in x 4.594 * [backup-simplify]: Simplify y into y 4.594 * [taylor]: Taking taylor expansion of x in x 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [backup-simplify]: Simplify (/ y 1) into y 4.594 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 4.594 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 4.594 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 4.594 * [taylor]: Taking taylor expansion of 1/2 in y 4.594 * [backup-simplify]: Simplify 1/2 into 1/2 4.594 * [taylor]: Taking taylor expansion of y in y 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.595 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 4.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 4.596 * [backup-simplify]: Simplify (+ 0 0) into 0 4.596 * [taylor]: Taking taylor expansion of 0 in y 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.596 * [backup-simplify]: Simplify 1/2 into 1/2 4.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 4.598 * [backup-simplify]: Simplify (+ 1 0) into 1 4.598 * [taylor]: Taking taylor expansion of 1 in y 4.598 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.598 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.605 * [backup-simplify]: Simplify (+ 0 0) into 0 4.605 * [taylor]: Taking taylor expansion of 0 in y 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.605 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 4.606 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 4.606 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 4.606 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 4.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.606 * [taylor]: Taking taylor expansion of 1/2 in y 4.606 * [backup-simplify]: Simplify 1/2 into 1/2 4.606 * [taylor]: Taking taylor expansion of (/ x y) in y 4.606 * [taylor]: Taking taylor expansion of x in y 4.606 * [backup-simplify]: Simplify x into x 4.606 * [taylor]: Taking taylor expansion of y in y 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (/ x 1) into x 4.606 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.606 * [taylor]: Taking taylor expansion of x in y 4.606 * [backup-simplify]: Simplify x into x 4.606 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.606 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 4.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.606 * [taylor]: Taking taylor expansion of 1/2 in x 4.606 * [backup-simplify]: Simplify 1/2 into 1/2 4.606 * [taylor]: Taking taylor expansion of (/ x y) in x 4.606 * [taylor]: Taking taylor expansion of x in x 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [taylor]: Taking taylor expansion of y in x 4.606 * [backup-simplify]: Simplify y into y 4.606 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.606 * [taylor]: Taking taylor expansion of x in x 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify (/ 1 1) into 1 4.607 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 4.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.607 * [taylor]: Taking taylor expansion of 1/2 in x 4.607 * [backup-simplify]: Simplify 1/2 into 1/2 4.607 * [taylor]: Taking taylor expansion of (/ x y) in x 4.607 * [taylor]: Taking taylor expansion of x in x 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 1 into 1 4.607 * [taylor]: Taking taylor expansion of y in x 4.607 * [backup-simplify]: Simplify y into y 4.607 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.607 * [taylor]: Taking taylor expansion of x in x 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify (/ 1 1) into 1 4.608 * [backup-simplify]: Simplify (+ 0 1) into 1 4.608 * [taylor]: Taking taylor expansion of 1 in y 4.608 * [backup-simplify]: Simplify 1 into 1 4.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.608 * [backup-simplify]: Simplify (+ 0 0) into 0 4.608 * [taylor]: Taking taylor expansion of 0 in y 4.608 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify 1 into 1 4.608 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 4.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.609 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 4.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 4.609 * [taylor]: Taking taylor expansion of 1/2 in y 4.609 * [backup-simplify]: Simplify 1/2 into 1/2 4.609 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.609 * [taylor]: Taking taylor expansion of y in y 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 1 into 1 4.609 * [backup-simplify]: Simplify (/ 1 1) into 1 4.610 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.610 * [backup-simplify]: Simplify 1/2 into 1/2 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 4.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.611 * [backup-simplify]: Simplify (+ 0 0) into 0 4.611 * [taylor]: Taking taylor expansion of 0 in y 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.613 * [backup-simplify]: Simplify (+ 0 0) into 0 4.613 * [taylor]: Taking taylor expansion of 0 in y 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 4.614 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 4.614 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 4.614 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 4.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.614 * [taylor]: Taking taylor expansion of 1/2 in y 4.614 * [backup-simplify]: Simplify 1/2 into 1/2 4.614 * [taylor]: Taking taylor expansion of (/ x y) in y 4.614 * [taylor]: Taking taylor expansion of x in y 4.614 * [backup-simplify]: Simplify x into x 4.614 * [taylor]: Taking taylor expansion of y in y 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 1 into 1 4.614 * [backup-simplify]: Simplify (/ x 1) into x 4.614 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.614 * [taylor]: Taking taylor expansion of x in y 4.614 * [backup-simplify]: Simplify x into x 4.614 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.614 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 4.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.614 * [taylor]: Taking taylor expansion of 1/2 in x 4.614 * [backup-simplify]: Simplify 1/2 into 1/2 4.614 * [taylor]: Taking taylor expansion of (/ x y) in x 4.614 * [taylor]: Taking taylor expansion of x in x 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 1 into 1 4.614 * [taylor]: Taking taylor expansion of y in x 4.614 * [backup-simplify]: Simplify y into y 4.614 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.614 * [taylor]: Taking taylor expansion of x in x 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 1 into 1 4.614 * [backup-simplify]: Simplify (/ 1 1) into 1 4.614 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 4.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.614 * [taylor]: Taking taylor expansion of 1/2 in x 4.614 * [backup-simplify]: Simplify 1/2 into 1/2 4.614 * [taylor]: Taking taylor expansion of (/ x y) in x 4.614 * [taylor]: Taking taylor expansion of x in x 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 1 into 1 4.615 * [taylor]: Taking taylor expansion of y in x 4.615 * [backup-simplify]: Simplify y into y 4.615 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.615 * [taylor]: Taking taylor expansion of x in x 4.615 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify 1 into 1 4.615 * [backup-simplify]: Simplify (/ 1 1) into 1 4.615 * [backup-simplify]: Simplify (- 1) into -1 4.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.615 * [taylor]: Taking taylor expansion of -1 in y 4.615 * [backup-simplify]: Simplify -1 into -1 4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (- 0) into 0 4.617 * [backup-simplify]: Simplify (+ 0 0) into 0 4.617 * [taylor]: Taking taylor expansion of 0 in y 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify -1 into -1 4.617 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 4.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.617 * [backup-simplify]: Simplify (- 0) into 0 4.617 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 4.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 4.618 * [taylor]: Taking taylor expansion of 1/2 in y 4.618 * [backup-simplify]: Simplify 1/2 into 1/2 4.618 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.618 * [taylor]: Taking taylor expansion of y in y 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.618 * [backup-simplify]: Simplify (/ 1 1) into 1 4.618 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.618 * [backup-simplify]: Simplify 1/2 into 1/2 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.619 * [backup-simplify]: Simplify (- 0) into 0 4.619 * [backup-simplify]: Simplify (+ 0 0) into 0 4.620 * [taylor]: Taking taylor expansion of 0 in y 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.623 * [backup-simplify]: Simplify (- 0) into 0 4.623 * [backup-simplify]: Simplify (+ 0 0) into 0 4.623 * [taylor]: Taking taylor expansion of 0 in y 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 4.623 * * * [progress]: simplifying candidates 4.625 * [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))) 4.626 * * [simplify]: Extracting # 0 : cost 0 4.626 * * [simplify]: Extracting # 1 : cost 0 4.626 * * [simplify]: Extracting # 2 : cost 0 4.626 * * [simplify]: Extracting # 3 : cost 0 4.627 * * [simplify]: Extracting # 4 : cost 0 4.627 * * [simplify]: Extracting # 5 : cost 0 4.627 * * [simplify]: Extracting # 6 : cost 0 4.627 * * [simplify]: Extracting # 7 : cost 0 4.627 * * [simplify]: iteration 0 : 87 enodes (cost 443 ) 4.665 * * [simplify]: Extracting # 0 : cost 0 4.666 * * [simplify]: Extracting # 1 : cost 0 4.667 * * [simplify]: Extracting # 2 : cost 0 4.667 * * [simplify]: Extracting # 3 : cost 0 4.667 * * [simplify]: Extracting # 4 : cost 0 4.668 * * [simplify]: iteration 1 : 222 enodes (cost 397 ) 4.744 * * [simplify]: Extracting # 0 : cost 0 4.745 * * [simplify]: Extracting # 1 : cost 0 4.746 * * [simplify]: Extracting # 2 : cost 0 4.746 * * [simplify]: Extracting # 3 : cost 0 4.747 * * [simplify]: Extracting # 4 : cost 0 4.748 * * [simplify]: iteration 2 : 641 enodes (cost 373 ) 5.160 * * [simplify]: Extracting # 0 : cost 0 5.164 * * [simplify]: Extracting # 1 : cost 0 5.167 * * [simplify]: Extracting # 2 : cost 0 5.171 * * [simplify]: Extracting # 3 : cost 0 5.174 * * [simplify]: Extracting # 4 : cost 0 5.177 * * [simplify]: iteration 3 : 1850 enodes (cost 372 ) 7.006 * * [simplify]: Extracting # 0 : cost 0 7.013 * * [simplify]: Extracting # 1 : cost 0 7.021 * * [simplify]: Extracting # 2 : cost 0 7.026 * * [simplify]: Extracting # 3 : cost 0 7.030 * * [simplify]: Extracting # 4 : cost 0 7.035 * * [simplify]: iteration done: 5001 enodes (cost 372 ) 7.035 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (sqrt (exp (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (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))) (* 1/2 (/ (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)) (* 1/2 (/ y x)) (* 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)))) (pow (+ x (* 1/2 (/ y x))) 3) (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))) (- (* x x) (* 1/4 (* (/ y x) (/ 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))) 7.035 * * * [progress]: adding candidates to table 7.124 * * [progress]: iteration 3 / 4 7.124 * * * [progress]: picking best candidate 7.125 * * * * [pick]: Picked # 7.125 * * * [progress]: localizing error 7.131 * * * [progress]: generating rewritten candidates 7.131 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 7.162 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 7.177 * * * [progress]: generating series expansions 7.177 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 7.177 * [backup-simplify]: Simplify (* (/ y x) -1/2) into (* -1/2 (/ y x)) 7.177 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 7.177 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 7.177 * [taylor]: Taking taylor expansion of -1/2 in x 7.177 * [backup-simplify]: Simplify -1/2 into -1/2 7.177 * [taylor]: Taking taylor expansion of (/ y x) in x 7.177 * [taylor]: Taking taylor expansion of y in x 7.177 * [backup-simplify]: Simplify y into y 7.177 * [taylor]: Taking taylor expansion of x in x 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [backup-simplify]: Simplify (/ y 1) into y 7.177 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 7.177 * [taylor]: Taking taylor expansion of -1/2 in y 7.177 * [backup-simplify]: Simplify -1/2 into -1/2 7.177 * [taylor]: Taking taylor expansion of (/ y x) in y 7.177 * [taylor]: Taking taylor expansion of y in y 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [taylor]: Taking taylor expansion of x in y 7.177 * [backup-simplify]: Simplify x into x 7.177 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.178 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 7.178 * [taylor]: Taking taylor expansion of -1/2 in y 7.178 * [backup-simplify]: Simplify -1/2 into -1/2 7.178 * [taylor]: Taking taylor expansion of (/ y x) in y 7.178 * [taylor]: Taking taylor expansion of y in y 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify 1 into 1 7.178 * [taylor]: Taking taylor expansion of x in y 7.178 * [backup-simplify]: Simplify x into x 7.178 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.178 * [backup-simplify]: Simplify (* -1/2 (/ 1 x)) into (/ -1/2 x) 7.178 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 7.178 * [taylor]: Taking taylor expansion of -1/2 in x 7.178 * [backup-simplify]: Simplify -1/2 into -1/2 7.178 * [taylor]: Taking taylor expansion of x in x 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify 1 into 1 7.179 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.179 * [backup-simplify]: Simplify -1/2 into -1/2 7.179 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.179 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 x))) into 0 7.179 * [taylor]: Taking taylor expansion of 0 in x 7.179 * [backup-simplify]: Simplify 0 into 0 7.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 7.180 * [backup-simplify]: Simplify 0 into 0 7.180 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.181 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.181 * [taylor]: Taking taylor expansion of 0 in x 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.183 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.183 * [taylor]: Taking taylor expansion of 0 in x 7.183 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.184 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) y)) into (* -1/2 (/ y x)) 7.185 * [backup-simplify]: Simplify (* (/ (/ 1 y) (/ 1 x)) -1/2) into (* -1/2 (/ x y)) 7.185 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 7.185 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 7.185 * [taylor]: Taking taylor expansion of -1/2 in x 7.185 * [backup-simplify]: Simplify -1/2 into -1/2 7.185 * [taylor]: Taking taylor expansion of (/ x y) in x 7.185 * [taylor]: Taking taylor expansion of x in x 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 1 into 1 7.185 * [taylor]: Taking taylor expansion of y in x 7.185 * [backup-simplify]: Simplify y into y 7.185 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.185 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 7.185 * [taylor]: Taking taylor expansion of -1/2 in y 7.185 * [backup-simplify]: Simplify -1/2 into -1/2 7.185 * [taylor]: Taking taylor expansion of (/ x y) in y 7.185 * [taylor]: Taking taylor expansion of x in y 7.185 * [backup-simplify]: Simplify x into x 7.185 * [taylor]: Taking taylor expansion of y in y 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 1 into 1 7.185 * [backup-simplify]: Simplify (/ x 1) into x 7.185 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 7.185 * [taylor]: Taking taylor expansion of -1/2 in y 7.185 * [backup-simplify]: Simplify -1/2 into -1/2 7.185 * [taylor]: Taking taylor expansion of (/ x y) in y 7.185 * [taylor]: Taking taylor expansion of x in y 7.185 * [backup-simplify]: Simplify x into x 7.186 * [taylor]: Taking taylor expansion of y in y 7.186 * [backup-simplify]: Simplify 0 into 0 7.186 * [backup-simplify]: Simplify 1 into 1 7.186 * [backup-simplify]: Simplify (/ x 1) into x 7.186 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 7.186 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 7.186 * [taylor]: Taking taylor expansion of -1/2 in x 7.186 * [backup-simplify]: Simplify -1/2 into -1/2 7.186 * [taylor]: Taking taylor expansion of x in x 7.186 * [backup-simplify]: Simplify 0 into 0 7.186 * [backup-simplify]: Simplify 1 into 1 7.186 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 7.187 * [backup-simplify]: Simplify -1/2 into -1/2 7.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 7.188 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 7.188 * [taylor]: Taking taylor expansion of 0 in x 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.189 * [backup-simplify]: Simplify 0 into 0 7.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.191 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 7.191 * [taylor]: Taking taylor expansion of 0 in x 7.191 * [backup-simplify]: Simplify 0 into 0 7.191 * [backup-simplify]: Simplify 0 into 0 7.191 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.192 * [backup-simplify]: Simplify 0 into 0 7.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.194 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.194 * [taylor]: Taking taylor expansion of 0 in x 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 0 into 0 7.195 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* -1/2 (/ y x)) 7.195 * [backup-simplify]: Simplify (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) into (* -1/2 (/ x y)) 7.195 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 7.195 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 7.195 * [taylor]: Taking taylor expansion of -1/2 in x 7.195 * [backup-simplify]: Simplify -1/2 into -1/2 7.195 * [taylor]: Taking taylor expansion of (/ x y) in x 7.195 * [taylor]: Taking taylor expansion of x in x 7.195 * [backup-simplify]: Simplify 0 into 0 7.195 * [backup-simplify]: Simplify 1 into 1 7.195 * [taylor]: Taking taylor expansion of y in x 7.195 * [backup-simplify]: Simplify y into y 7.195 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.195 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 7.195 * [taylor]: Taking taylor expansion of -1/2 in y 7.195 * [backup-simplify]: Simplify -1/2 into -1/2 7.195 * [taylor]: Taking taylor expansion of (/ x y) in y 7.195 * [taylor]: Taking taylor expansion of x in y 7.195 * [backup-simplify]: Simplify x into x 7.195 * [taylor]: Taking taylor expansion of y in y 7.195 * [backup-simplify]: Simplify 0 into 0 7.195 * [backup-simplify]: Simplify 1 into 1 7.195 * [backup-simplify]: Simplify (/ x 1) into x 7.195 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 7.195 * [taylor]: Taking taylor expansion of -1/2 in y 7.195 * [backup-simplify]: Simplify -1/2 into -1/2 7.195 * [taylor]: Taking taylor expansion of (/ x y) in y 7.196 * [taylor]: Taking taylor expansion of x in y 7.196 * [backup-simplify]: Simplify x into x 7.196 * [taylor]: Taking taylor expansion of y in y 7.196 * [backup-simplify]: Simplify 0 into 0 7.196 * [backup-simplify]: Simplify 1 into 1 7.196 * [backup-simplify]: Simplify (/ x 1) into x 7.196 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 7.196 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 7.196 * [taylor]: Taking taylor expansion of -1/2 in x 7.196 * [backup-simplify]: Simplify -1/2 into -1/2 7.196 * [taylor]: Taking taylor expansion of x in x 7.196 * [backup-simplify]: Simplify 0 into 0 7.196 * [backup-simplify]: Simplify 1 into 1 7.197 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 7.197 * [backup-simplify]: Simplify -1/2 into -1/2 7.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 7.198 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 7.198 * [taylor]: Taking taylor expansion of 0 in x 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify 0 into 0 7.199 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.199 * [backup-simplify]: Simplify 0 into 0 7.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.201 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 7.201 * [taylor]: Taking taylor expansion of 0 in x 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.204 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.204 * [taylor]: Taking taylor expansion of 0 in x 7.204 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* -1/2 (/ y x)) 7.205 * * * * [progress]: [ 2 / 2 ] generating series at (2) 7.205 * [backup-simplify]: Simplify (- (* (/ y x) -1/2) x) into (- (+ x (* 1/2 (/ y x)))) 7.205 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0 7.205 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 7.205 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 7.205 * [taylor]: Taking taylor expansion of x in x 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify 1 into 1 7.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 7.205 * [taylor]: Taking taylor expansion of 1/2 in x 7.205 * [backup-simplify]: Simplify 1/2 into 1/2 7.205 * [taylor]: Taking taylor expansion of (/ y x) in x 7.205 * [taylor]: Taking taylor expansion of y in x 7.205 * [backup-simplify]: Simplify y into y 7.205 * [taylor]: Taking taylor expansion of x in x 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 1 into 1 7.206 * [backup-simplify]: Simplify (/ y 1) into y 7.206 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 7.206 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 7.206 * [taylor]: Taking taylor expansion of x in y 7.206 * [backup-simplify]: Simplify x into x 7.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 7.206 * [taylor]: Taking taylor expansion of 1/2 in y 7.206 * [backup-simplify]: Simplify 1/2 into 1/2 7.206 * [taylor]: Taking taylor expansion of (/ y x) in y 7.206 * [taylor]: Taking taylor expansion of y in y 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 1 into 1 7.206 * [taylor]: Taking taylor expansion of x in y 7.206 * [backup-simplify]: Simplify x into x 7.206 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.206 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 7.206 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 7.206 * [taylor]: Taking taylor expansion of x in y 7.206 * [backup-simplify]: Simplify x into x 7.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 7.206 * [taylor]: Taking taylor expansion of 1/2 in y 7.206 * [backup-simplify]: Simplify 1/2 into 1/2 7.206 * [taylor]: Taking taylor expansion of (/ y x) in y 7.206 * [taylor]: Taking taylor expansion of y in y 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 1 into 1 7.206 * [taylor]: Taking taylor expansion of x in y 7.207 * [backup-simplify]: Simplify x into x 7.207 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.207 * [backup-simplify]: Simplify (+ x 0) into x 7.207 * [backup-simplify]: Simplify (- x) into (- x) 7.207 * [taylor]: Taking taylor expansion of (- x) in x 7.207 * [taylor]: Taking taylor expansion of x in x 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 1 into 1 7.207 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 7.207 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x)) 7.207 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x))) 7.207 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x 7.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 7.207 * [taylor]: Taking taylor expansion of 1/2 in x 7.207 * [backup-simplify]: Simplify 1/2 into 1/2 7.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.207 * [taylor]: Taking taylor expansion of x in x 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 1 into 1 7.208 * [backup-simplify]: Simplify (/ 1 1) into 1 7.208 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.208 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.208 * [backup-simplify]: Simplify -1/2 into -1/2 7.209 * [backup-simplify]: Simplify (- 0) into 0 7.209 * [backup-simplify]: Simplify 0 into 0 7.209 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 7.210 * [backup-simplify]: Simplify (+ 0 0) into 0 7.210 * [backup-simplify]: Simplify (- 0) into 0 7.210 * [taylor]: Taking taylor expansion of 0 in x 7.210 * [backup-simplify]: Simplify 0 into 0 7.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.212 * [backup-simplify]: Simplify (- 0) into 0 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify (- 1) into -1 7.212 * [backup-simplify]: Simplify -1 into -1 7.212 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.214 * [backup-simplify]: Simplify (+ 0 0) into 0 7.214 * [backup-simplify]: Simplify (- 0) into 0 7.214 * [taylor]: Taking taylor expansion of 0 in x 7.214 * [backup-simplify]: Simplify 0 into 0 7.214 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.216 * [backup-simplify]: Simplify (- 0) into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify (- 0) into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.218 * [backup-simplify]: Simplify (+ 0 0) into 0 7.218 * [backup-simplify]: Simplify (- 0) into 0 7.218 * [taylor]: Taking taylor expansion of 0 in x 7.218 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.220 * [backup-simplify]: Simplify (- 0) into 0 7.220 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x)))) 7.221 * [backup-simplify]: Simplify (- (* (/ (/ 1 y) (/ 1 x)) -1/2) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 7.221 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 7.221 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 7.221 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 7.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 7.221 * [taylor]: Taking taylor expansion of 1/2 in x 7.221 * [backup-simplify]: Simplify 1/2 into 1/2 7.221 * [taylor]: Taking taylor expansion of (/ x y) in x 7.221 * [taylor]: Taking taylor expansion of x in x 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.221 * [taylor]: Taking taylor expansion of y in x 7.221 * [backup-simplify]: Simplify y into y 7.221 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.221 * [taylor]: Taking taylor expansion of x in x 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.222 * [backup-simplify]: Simplify (/ 1 1) into 1 7.222 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 7.222 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 7.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.222 * [taylor]: Taking taylor expansion of 1/2 in y 7.222 * [backup-simplify]: Simplify 1/2 into 1/2 7.222 * [taylor]: Taking taylor expansion of (/ x y) in y 7.222 * [taylor]: Taking taylor expansion of x in y 7.222 * [backup-simplify]: Simplify x into x 7.222 * [taylor]: Taking taylor expansion of y in y 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 1 into 1 7.222 * [backup-simplify]: Simplify (/ x 1) into x 7.222 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.222 * [taylor]: Taking taylor expansion of x in y 7.222 * [backup-simplify]: Simplify x into x 7.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.222 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 7.222 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 7.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.222 * [taylor]: Taking taylor expansion of 1/2 in y 7.222 * [backup-simplify]: Simplify 1/2 into 1/2 7.222 * [taylor]: Taking taylor expansion of (/ x y) in y 7.222 * [taylor]: Taking taylor expansion of x in y 7.222 * [backup-simplify]: Simplify x into x 7.222 * [taylor]: Taking taylor expansion of y in y 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 1 into 1 7.223 * [backup-simplify]: Simplify (/ x 1) into x 7.223 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.223 * [taylor]: Taking taylor expansion of x in y 7.223 * [backup-simplify]: Simplify x into x 7.223 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.223 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 7.223 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 7.223 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 7.223 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 7.223 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.223 * [taylor]: Taking taylor expansion of 1/2 in x 7.223 * [backup-simplify]: Simplify 1/2 into 1/2 7.223 * [taylor]: Taking taylor expansion of x in x 7.223 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify 1 into 1 7.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 7.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 7.224 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 7.224 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 7.224 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 7.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.225 * [taylor]: Taking taylor expansion of x in x 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 1 into 1 7.225 * [backup-simplify]: Simplify (/ 1 1) into 1 7.225 * [backup-simplify]: Simplify (- 1) into -1 7.225 * [backup-simplify]: Simplify -1 into -1 7.226 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.226 * [backup-simplify]: Simplify (- 0) into 0 7.226 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 7.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 7.228 * [backup-simplify]: Simplify (+ 0 0) into 0 7.229 * [backup-simplify]: Simplify (- 0) into 0 7.229 * [taylor]: Taking taylor expansion of 0 in x 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.230 * [backup-simplify]: Simplify (- 0) into 0 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.231 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.231 * [backup-simplify]: Simplify -1/2 into -1/2 7.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.234 * [backup-simplify]: Simplify (+ 0 0) into 0 7.234 * [backup-simplify]: Simplify (- 0) into 0 7.234 * [taylor]: Taking taylor expansion of 0 in x 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.235 * [backup-simplify]: Simplify (- 0) into 0 7.235 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.237 * [backup-simplify]: Simplify (- 0) into 0 7.237 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 7.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.241 * [backup-simplify]: Simplify (+ 0 0) into 0 7.241 * [backup-simplify]: Simplify (- 0) into 0 7.241 * [taylor]: Taking taylor expansion of 0 in x 7.241 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.242 * [backup-simplify]: Simplify (- 0) into 0 7.242 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x)))) 7.243 * [backup-simplify]: Simplify (- (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 7.243 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 7.243 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 7.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.243 * [taylor]: Taking taylor expansion of x in x 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify 1 into 1 7.243 * [backup-simplify]: Simplify (/ 1 1) into 1 7.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 7.243 * [taylor]: Taking taylor expansion of 1/2 in x 7.243 * [backup-simplify]: Simplify 1/2 into 1/2 7.243 * [taylor]: Taking taylor expansion of (/ x y) in x 7.243 * [taylor]: Taking taylor expansion of x in x 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify 1 into 1 7.243 * [taylor]: Taking taylor expansion of y in x 7.243 * [backup-simplify]: Simplify y into y 7.244 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.244 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 7.244 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.244 * [taylor]: Taking taylor expansion of x in y 7.244 * [backup-simplify]: Simplify x into x 7.244 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.244 * [taylor]: Taking taylor expansion of 1/2 in y 7.244 * [backup-simplify]: Simplify 1/2 into 1/2 7.244 * [taylor]: Taking taylor expansion of (/ x y) in y 7.244 * [taylor]: Taking taylor expansion of x in y 7.244 * [backup-simplify]: Simplify x into x 7.244 * [taylor]: Taking taylor expansion of y in y 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify 1 into 1 7.244 * [backup-simplify]: Simplify (/ x 1) into x 7.244 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 7.244 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.244 * [taylor]: Taking taylor expansion of x in y 7.244 * [backup-simplify]: Simplify x into x 7.244 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.244 * [taylor]: Taking taylor expansion of 1/2 in y 7.244 * [backup-simplify]: Simplify 1/2 into 1/2 7.244 * [taylor]: Taking taylor expansion of (/ x y) in y 7.244 * [taylor]: Taking taylor expansion of x in y 7.244 * [backup-simplify]: Simplify x into x 7.244 * [taylor]: Taking taylor expansion of y in y 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify 1 into 1 7.244 * [backup-simplify]: Simplify (/ x 1) into x 7.245 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 7.245 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 7.245 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x)) 7.245 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 7.245 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.245 * [taylor]: Taking taylor expansion of 1/2 in x 7.245 * [backup-simplify]: Simplify 1/2 into 1/2 7.245 * [taylor]: Taking taylor expansion of x in x 7.245 * [backup-simplify]: Simplify 0 into 0 7.245 * [backup-simplify]: Simplify 1 into 1 7.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 7.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 7.246 * [backup-simplify]: Simplify (- 0) into 0 7.247 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 7.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.247 * [taylor]: Taking taylor expansion of x in x 7.247 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify 1 into 1 7.247 * [backup-simplify]: Simplify (/ 1 1) into 1 7.247 * [backup-simplify]: Simplify 1 into 1 7.247 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.248 * [backup-simplify]: Simplify (- 0) into 0 7.248 * [backup-simplify]: Simplify 0 into 0 7.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 7.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 7.250 * [backup-simplify]: Simplify (- 0) into 0 7.251 * [backup-simplify]: Simplify (+ 0 0) into 0 7.251 * [taylor]: Taking taylor expansion of 0 in x 7.251 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.252 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.253 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.253 * [backup-simplify]: Simplify -1/2 into -1/2 7.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.256 * [backup-simplify]: Simplify (- 0) into 0 7.257 * [backup-simplify]: Simplify (+ 0 0) into 0 7.257 * [taylor]: Taking taylor expansion of 0 in x 7.257 * [backup-simplify]: Simplify 0 into 0 7.257 * [backup-simplify]: Simplify 0 into 0 7.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.259 * [backup-simplify]: Simplify (- 0) into 0 7.259 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 7.263 * [backup-simplify]: Simplify (- 0) into 0 7.264 * [backup-simplify]: Simplify (+ 0 0) into 0 7.264 * [taylor]: Taking taylor expansion of 0 in x 7.264 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x)))) 7.265 * * * [progress]: simplifying candidates 7.266 * [simplify]: Simplifying: (* (/ y x) -1/2) (+ (- (log y) (log x)) (log -1/2)) (+ (log (/ y x)) (log -1/2)) (log (* (/ y x) -1/2)) (exp (* (/ y x) -1/2)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* -1/2 -1/2) -1/2)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* -1/2 -1/2) -1/2)) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (* (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (sqrt (* (/ y x) -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)) (sqrt -1/2)) (* (/ y x) (* (cbrt -1/2) (cbrt -1/2))) (* (/ y x) (sqrt -1/2)) (* (/ y x) 1) (* (cbrt (/ y x)) -1/2) (* (sqrt (/ y x)) -1/2) (* (/ (cbrt y) (cbrt x)) -1/2) (* (/ (cbrt y) (sqrt x)) -1/2) (* (/ (cbrt y) x) -1/2) (* (/ (sqrt y) (cbrt x)) -1/2) (* (/ (sqrt y) (sqrt x)) -1/2) (* (/ (sqrt y) x) -1/2) (* (/ y (cbrt x)) -1/2) (* (/ y (sqrt x)) -1/2) (* (/ y x) -1/2) (* (/ y x) -1/2) (* (/ 1 x) -1/2) (* y -1/2) (/ (exp (* (/ y x) -1/2)) (exp x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (* (* (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x)) (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (+ (* x x) (* (* (/ y x) -1/2) x))) (- x) (- (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* x x)) (+ (* (/ y x) -1/2) 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)))) 7.268 * * [simplify]: Extracting # 0 : cost 0 7.268 * * [simplify]: Extracting # 1 : cost 0 7.268 * * [simplify]: Extracting # 2 : cost 0 7.268 * * [simplify]: Extracting # 3 : cost 0 7.268 * * [simplify]: Extracting # 4 : cost 0 7.268 * * [simplify]: Extracting # 5 : cost 0 7.269 * * [simplify]: iteration 0 : 91 enodes (cost 434 ) 7.322 * * [simplify]: Extracting # 0 : cost 0 7.322 * * [simplify]: Extracting # 1 : cost 0 7.323 * * [simplify]: Extracting # 2 : cost 0 7.323 * * [simplify]: Extracting # 3 : cost 0 7.323 * * [simplify]: Extracting # 4 : cost 0 7.324 * * [simplify]: iteration 1 : 209 enodes (cost 400 ) 7.414 * * [simplify]: Extracting # 0 : cost 0 7.414 * * [simplify]: Extracting # 1 : cost 0 7.415 * * [simplify]: Extracting # 2 : cost 0 7.415 * * [simplify]: Extracting # 3 : cost 0 7.416 * * [simplify]: Extracting # 4 : cost 0 7.416 * * [simplify]: iteration 2 : 564 enodes (cost 373 ) 7.942 * * [simplify]: Extracting # 0 : cost 0 7.944 * * [simplify]: Extracting # 1 : cost 0 7.946 * * [simplify]: Extracting # 2 : cost 0 7.947 * * [simplify]: Extracting # 3 : cost 0 7.949 * * [simplify]: Extracting # 4 : cost 0 7.951 * * [simplify]: Extracting # 5 : cost 0 7.953 * * [simplify]: Extracting # 6 : cost 0 7.956 * * [simplify]: iteration 3 : 1739 enodes (cost 371 ) 9.542 * * [simplify]: Extracting # 0 : cost 0 9.550 * * [simplify]: Extracting # 1 : cost 0 9.555 * * [simplify]: Extracting # 2 : cost 0 9.560 * * [simplify]: Extracting # 3 : cost 0 9.569 * * [simplify]: Extracting # 4 : cost 0 9.578 * * [simplify]: iteration done: 5000 enodes (cost 371 ) 9.579 * [simplify]: Simplified to: (* -1/2 (/ y x)) (log (* (/ y x) -1/2)) (log (* (/ y x) -1/2)) (log (* (/ y x) -1/2)) (exp (* (/ y x) -1/2)) (pow (* (/ y x) -1/2) 3) (pow (* (/ y x) -1/2) 3) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (pow (* (/ y x) -1/2) 3) (sqrt (* (/ y x) -1/2)) (sqrt (* (/ y x) -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)) (sqrt -1/2)) (* (/ y x) (* (cbrt -1/2) (cbrt -1/2))) (* (/ y x) (sqrt -1/2)) (/ y x) (* (cbrt (/ y x)) -1/2) (* (sqrt (/ y x)) -1/2) (* (/ (cbrt y) (cbrt x)) -1/2) (* (/ (cbrt y) (sqrt x)) -1/2) (* (/ (cbrt y) x) -1/2) (* (/ (sqrt y) (cbrt x)) -1/2) (* (/ (sqrt y) (sqrt x)) -1/2) (* (/ (sqrt y) x) -1/2) (* (/ y (cbrt x)) -1/2) (* (/ y (sqrt x)) -1/2) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (/ -1/2 x) (* -1/2 y) (exp (- (* (/ y x) -1/2) x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (pow (- (* (/ y x) -1/2) x) 3) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* x x) (* (+ (* (/ y x) -1/2) x) (* -1/2 (/ y x)))) (- x) (- (* (* (/ y x) (/ y x)) 1/4) (* x x)) (+ 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) 9.579 * * * [progress]: adding candidates to table 9.673 * [progress]: [Phase 3 of 3] Extracting. 9.673 * * [regime]: Finding splitpoints for: (# # #) 9.673 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 9.673 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 9.689 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 9.710 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 9.750 * * * * [regimes]: Trying to branch on y from (# # #) 9.796 * * * * [regimes]: Trying to branch on x from (# # #) 9.843 * * * [regime]: Found split indices: #