86.779 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.030 * * [simplify]: Extracting # 2 : cost 0 0.030 * * [simplify]: Extracting # 3 : cost 0 0.030 * * [simplify]: Extracting # 4 : cost 0 0.030 * * [simplify]: Extracting # 5 : cost 0 0.030 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: iteration done: 6 enodes (cost 6 ) 0.031 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.048 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.057 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.057 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [backup-simplify]: Simplify x into x 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.057 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.057 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.057 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.057 * [backup-simplify]: Simplify (+ 0 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [backup-simplify]: Simplify (+ 0 y) into y 0.058 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [backup-simplify]: Simplify (+ 0 y) into y 0.058 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.059 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (sqrt 0) into 0 0.060 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (+ 1 0) into 1 0.061 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.061 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.061 * [taylor]: Taking taylor expansion of 1/2 in y 0.061 * [backup-simplify]: Simplify 1/2 into 1/2 0.061 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [backup-simplify]: Simplify (sqrt 0) into 0 0.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.063 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.064 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.064 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.072 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.073 * [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)))))) 0.073 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.073 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [backup-simplify]: Simplify x into x 0.073 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.073 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [backup-simplify]: Simplify (+ 0 1) into 1 0.074 * [backup-simplify]: Simplify (sqrt 0) into 0 0.075 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [backup-simplify]: Simplify y into y 0.075 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.076 * [backup-simplify]: Simplify (+ 1 0) into 1 0.076 * [backup-simplify]: Simplify (sqrt 1) into 1 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 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 1 in y 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.082 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.082 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.082 * [taylor]: Taking taylor expansion of 1/2 in y 0.082 * [backup-simplify]: Simplify 1/2 into 1/2 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.082 * [backup-simplify]: Simplify 1/2 into 1/2 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.087 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of -1/8 in y 0.087 * [backup-simplify]: Simplify -1/8 into -1/8 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.089 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.089 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [backup-simplify]: Simplify x into x 0.089 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify (- 1) into -1 0.090 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.090 * [backup-simplify]: Simplify (sqrt 0) into 0 0.091 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.091 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [backup-simplify]: Simplify (sqrt 1) into 1 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.093 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.093 * [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 0.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.094 * [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 0.095 * [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 1 in y 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.097 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.098 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.098 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.098 * [taylor]: Taking taylor expansion of -1/2 in y 0.098 * [backup-simplify]: Simplify -1/2 into -1/2 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.098 * [backup-simplify]: Simplify -1/2 into -1/2 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 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 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.104 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of -1/8 in y 0.104 * [backup-simplify]: Simplify -1/8 into -1/8 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.106 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.106 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.106 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [backup-simplify]: Simplify x into x 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (+ 0 y) into 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 0 into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (+ 1 0) into 1 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.109 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.109 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.109 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in 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 (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [backup-simplify]: Simplify y into y 0.110 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 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 1) into 1 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [backup-simplify]: Simplify y into y 0.110 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.111 * [backup-simplify]: Simplify (+ 1 0) into 1 0.111 * [taylor]: Taking taylor expansion of 1 in y 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) 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 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.118 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.118 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.119 * [backup-simplify]: Simplify x into x 0.119 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.119 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [taylor]: Taking taylor expansion of 1 in y 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.123 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (- 1) into -1 0.124 * [backup-simplify]: Simplify -1 into -1 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.128 * * * [progress]: simplifying candidates 0.129 * [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) 0.129 * * [simplify]: Extracting # 0 : cost 0 0.129 * * [simplify]: Extracting # 1 : cost 0 0.129 * * [simplify]: Extracting # 2 : cost 0 0.130 * * [simplify]: Extracting # 3 : cost 0 0.130 * * [simplify]: Extracting # 4 : cost 0 0.130 * * [simplify]: Extracting # 5 : cost 0 0.130 * * [simplify]: Extracting # 6 : cost 0 0.130 * * [simplify]: Extracting # 7 : cost 0 0.130 * * [simplify]: Extracting # 8 : cost 0 0.130 * * [simplify]: Extracting # 9 : cost 0 0.130 * * [simplify]: Extracting # 10 : cost 0 0.130 * * [simplify]: iteration 0 : 59 enodes (cost 319 ) 0.142 * * [simplify]: Extracting # 0 : cost 0 0.142 * * [simplify]: Extracting # 1 : cost 0 0.142 * * [simplify]: Extracting # 2 : cost 0 0.142 * * [simplify]: Extracting # 3 : cost 0 0.142 * * [simplify]: Extracting # 4 : cost 0 0.142 * * [simplify]: iteration 1 : 154 enodes (cost 294 ) 0.217 * * [simplify]: Extracting # 0 : cost 0 0.218 * * [simplify]: Extracting # 1 : cost 0 0.219 * * [simplify]: Extracting # 2 : cost 0 0.220 * * [simplify]: Extracting # 3 : cost 0 0.221 * * [simplify]: Extracting # 4 : cost 0 0.223 * * [simplify]: iteration 2 : 700 enodes (cost 258 ) 0.601 * * [simplify]: Extracting # 0 : cost 0 0.607 * * [simplify]: Extracting # 1 : cost 0 0.613 * * [simplify]: Extracting # 2 : cost 0 0.624 * * [simplify]: Extracting # 3 : cost 0 0.630 * * [simplify]: Extracting # 4 : cost 0 0.637 * * [simplify]: iteration done: 5000 enodes (cost 255 ) 0.637 * [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 (+ (* x x) y)) (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 (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow y 3) (pow x 6)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* x x) y) (- (* +nan.0 (- (* x x) (- (* y y) y)))) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) 0.637 * * * [progress]: adding candidates to table 0.708 * * [progress]: iteration 2 / 4 0.708 * * * [progress]: picking best candidate 0.713 * * * * [pick]: Picked # 0.713 * * * [progress]: localizing error 0.718 * * * [progress]: generating rewritten candidates 0.718 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.736 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.743 * * * [progress]: generating series expansions 0.743 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.744 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 0.744 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.744 * [taylor]: Taking taylor expansion of 1/2 in x 0.744 * [backup-simplify]: Simplify 1/2 into 1/2 0.744 * [taylor]: Taking taylor expansion of (/ y x) in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.744 * [backup-simplify]: Simplify y into y 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (/ y 1) into y 0.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.744 * [taylor]: Taking taylor expansion of 1/2 in y 0.744 * [backup-simplify]: Simplify 1/2 into 1/2 0.744 * [taylor]: Taking taylor expansion of (/ y x) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [backup-simplify]: Simplify x into x 0.744 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.744 * [taylor]: Taking taylor expansion of 1/2 in y 0.744 * [backup-simplify]: Simplify 1/2 into 1/2 0.744 * [taylor]: Taking taylor expansion of (/ y x) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [backup-simplify]: Simplify x into x 0.744 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.744 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 0.744 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.744 * [taylor]: Taking taylor expansion of 1/2 in x 0.744 * [backup-simplify]: Simplify 1/2 into 1/2 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.745 * [backup-simplify]: Simplify 1/2 into 1/2 0.745 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 0.745 * [taylor]: Taking taylor expansion of 0 in x 0.745 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.747 * [taylor]: Taking taylor expansion of 0 in x 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.748 * [taylor]: Taking taylor expansion of 0 in x 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 0.749 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 0.749 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.749 * [taylor]: Taking taylor expansion of 1/2 in x 0.749 * [backup-simplify]: Simplify 1/2 into 1/2 0.749 * [taylor]: Taking taylor expansion of (/ x y) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of y in x 0.749 * [backup-simplify]: Simplify y into y 0.749 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.749 * [taylor]: Taking taylor expansion of 1/2 in y 0.749 * [backup-simplify]: Simplify 1/2 into 1/2 0.749 * [taylor]: Taking taylor expansion of (/ x y) in y 0.749 * [taylor]: Taking taylor expansion of x in y 0.749 * [backup-simplify]: Simplify x into x 0.749 * [taylor]: Taking taylor expansion of y in y 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ x 1) into x 0.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.749 * [taylor]: Taking taylor expansion of 1/2 in y 0.749 * [backup-simplify]: Simplify 1/2 into 1/2 0.749 * [taylor]: Taking taylor expansion of (/ x y) in y 0.749 * [taylor]: Taking taylor expansion of x in y 0.749 * [backup-simplify]: Simplify x into x 0.749 * [taylor]: Taking taylor expansion of y in y 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ x 1) into x 0.750 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.750 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.750 * [taylor]: Taking taylor expansion of 1/2 in x 0.750 * [backup-simplify]: Simplify 1/2 into 1/2 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.750 * [backup-simplify]: Simplify 1/2 into 1/2 0.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.751 * [taylor]: Taking taylor expansion of 0 in x 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.753 * [taylor]: Taking taylor expansion of 0 in x 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.755 * [taylor]: Taking taylor expansion of 0 in x 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 0.756 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 0.756 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.756 * [taylor]: Taking taylor expansion of 1/2 in x 0.756 * [backup-simplify]: Simplify 1/2 into 1/2 0.756 * [taylor]: Taking taylor expansion of (/ x y) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [taylor]: Taking taylor expansion of y in x 0.756 * [backup-simplify]: Simplify y into y 0.756 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.756 * [taylor]: Taking taylor expansion of 1/2 in y 0.756 * [backup-simplify]: Simplify 1/2 into 1/2 0.756 * [taylor]: Taking taylor expansion of (/ x y) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [backup-simplify]: Simplify x into x 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (/ x 1) into x 0.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.756 * [taylor]: Taking taylor expansion of 1/2 in y 0.756 * [backup-simplify]: Simplify 1/2 into 1/2 0.756 * [taylor]: Taking taylor expansion of (/ x y) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [backup-simplify]: Simplify x into x 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (/ x 1) into x 0.756 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.756 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.756 * [taylor]: Taking taylor expansion of 1/2 in x 0.756 * [backup-simplify]: Simplify 1/2 into 1/2 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.757 * [backup-simplify]: Simplify 1/2 into 1/2 0.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.758 * [taylor]: Taking taylor expansion of 0 in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.760 * [taylor]: Taking taylor expansion of 0 in x 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.764 * [taylor]: Taking taylor expansion of 0 in x 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 0.764 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.764 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 0.764 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.765 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.765 * [taylor]: Taking taylor expansion of x in y 0.765 * [backup-simplify]: Simplify x into x 0.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.765 * [taylor]: Taking taylor expansion of 1/2 in y 0.765 * [backup-simplify]: Simplify 1/2 into 1/2 0.765 * [taylor]: Taking taylor expansion of (/ y x) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [taylor]: Taking taylor expansion of x in y 0.765 * [backup-simplify]: Simplify x into x 0.765 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.765 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.765 * [taylor]: Taking taylor expansion of 1/2 in x 0.765 * [backup-simplify]: Simplify 1/2 into 1/2 0.765 * [taylor]: Taking taylor expansion of (/ y x) in x 0.765 * [taylor]: Taking taylor expansion of y in x 0.765 * [backup-simplify]: Simplify y into y 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (/ y 1) into y 0.765 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.765 * [taylor]: Taking taylor expansion of 1/2 in x 0.765 * [backup-simplify]: Simplify 1/2 into 1/2 0.765 * [taylor]: Taking taylor expansion of (/ y x) in x 0.765 * [taylor]: Taking taylor expansion of y in x 0.765 * [backup-simplify]: Simplify y into y 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (/ y 1) into y 0.766 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.766 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 0.766 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.766 * [taylor]: Taking taylor expansion of 1/2 in y 0.766 * [backup-simplify]: Simplify 1/2 into 1/2 0.766 * [taylor]: Taking taylor expansion of y in y 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [taylor]: Taking taylor expansion of 0 in y 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.768 * [backup-simplify]: Simplify 1/2 into 1/2 0.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 0.771 * [backup-simplify]: Simplify (+ 1 0) into 1 0.771 * [taylor]: Taking taylor expansion of 1 in y 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [taylor]: Taking taylor expansion of 0 in y 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 0.776 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 0.776 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.776 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.776 * [taylor]: Taking taylor expansion of 1/2 in y 0.776 * [backup-simplify]: Simplify 1/2 into 1/2 0.776 * [taylor]: Taking taylor expansion of (/ x y) in y 0.776 * [taylor]: Taking taylor expansion of x in y 0.776 * [backup-simplify]: Simplify x into x 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (/ x 1) into x 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.777 * [taylor]: Taking taylor expansion of x in y 0.777 * [backup-simplify]: Simplify x into x 0.777 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.777 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.777 * [taylor]: Taking taylor expansion of 1/2 in x 0.777 * [backup-simplify]: Simplify 1/2 into 1/2 0.777 * [taylor]: Taking taylor expansion of (/ x y) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [backup-simplify]: Simplify y into y 0.777 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (/ 1 1) into 1 0.777 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.777 * [taylor]: Taking taylor expansion of 1/2 in x 0.777 * [backup-simplify]: Simplify 1/2 into 1/2 0.777 * [taylor]: Taking taylor expansion of (/ x y) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of y in x 0.778 * [backup-simplify]: Simplify y into y 0.778 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [backup-simplify]: Simplify (+ 0 1) into 1 0.779 * [taylor]: Taking taylor expansion of 1 in y 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [taylor]: Taking taylor expansion of 0 in y 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 0.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.781 * [taylor]: Taking taylor expansion of 1/2 in y 0.781 * [backup-simplify]: Simplify 1/2 into 1/2 0.781 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.781 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.781 * [backup-simplify]: Simplify 1/2 into 1/2 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [taylor]: Taking taylor expansion of 0 in y 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.789 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 0.789 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.789 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.789 * [taylor]: Taking taylor expansion of 1/2 in y 0.789 * [backup-simplify]: Simplify 1/2 into 1/2 0.789 * [taylor]: Taking taylor expansion of (/ x y) in y 0.789 * [taylor]: Taking taylor expansion of x in y 0.789 * [backup-simplify]: Simplify x into x 0.789 * [taylor]: Taking taylor expansion of y in y 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (/ x 1) into x 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.789 * [taylor]: Taking taylor expansion of x in y 0.789 * [backup-simplify]: Simplify x into x 0.789 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.789 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.789 * [taylor]: Taking taylor expansion of 1/2 in x 0.789 * [backup-simplify]: Simplify 1/2 into 1/2 0.789 * [taylor]: Taking taylor expansion of (/ x y) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [taylor]: Taking taylor expansion of y in x 0.790 * [backup-simplify]: Simplify y into y 0.790 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.790 * [taylor]: Taking taylor expansion of 1/2 in x 0.790 * [backup-simplify]: Simplify 1/2 into 1/2 0.790 * [taylor]: Taking taylor expansion of (/ x y) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [taylor]: Taking taylor expansion of y in x 0.790 * [backup-simplify]: Simplify y into y 0.790 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [backup-simplify]: Simplify (- 1) into -1 0.792 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.792 * [taylor]: Taking taylor expansion of -1 in y 0.792 * [backup-simplify]: Simplify -1 into -1 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (- 0) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify -1 into -1 0.793 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (- 0) into 0 0.794 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 0.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.794 * [taylor]: Taking taylor expansion of 1/2 in y 0.794 * [backup-simplify]: Simplify 1/2 into 1/2 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.795 * [backup-simplify]: Simplify 1/2 into 1/2 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (- 0) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 0.799 * * * [progress]: simplifying candidates 0.800 * [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))) 0.800 * * [simplify]: Extracting # 0 : cost 0 0.800 * * [simplify]: Extracting # 1 : cost 0 0.801 * * [simplify]: Extracting # 2 : cost 0 0.801 * * [simplify]: Extracting # 3 : cost 0 0.801 * * [simplify]: Extracting # 4 : cost 0 0.801 * * [simplify]: Extracting # 5 : cost 0 0.801 * * [simplify]: Extracting # 6 : cost 0 0.801 * * [simplify]: Extracting # 7 : cost 0 0.801 * * [simplify]: iteration 0 : 87 enodes (cost 443 ) 0.828 * * [simplify]: Extracting # 0 : cost 0 0.828 * * [simplify]: Extracting # 1 : cost 0 0.828 * * [simplify]: Extracting # 2 : cost 0 0.828 * * [simplify]: Extracting # 3 : cost 0 0.828 * * [simplify]: Extracting # 4 : cost 0 0.829 * * [simplify]: iteration 1 : 238 enodes (cost 397 ) 0.924 * * [simplify]: Extracting # 0 : cost 0 0.925 * * [simplify]: Extracting # 1 : cost 0 0.926 * * [simplify]: Extracting # 2 : cost 0 0.927 * * [simplify]: Extracting # 3 : cost 0 0.929 * * [simplify]: Extracting # 4 : cost 0 0.930 * * [simplify]: Extracting # 5 : cost 0 0.931 * * [simplify]: iteration 2 : 805 enodes (cost 373 ) 1.583 * * [simplify]: Extracting # 0 : cost 0 1.591 * * [simplify]: Extracting # 1 : cost 0 1.597 * * [simplify]: Extracting # 2 : cost 0 1.602 * * [simplify]: Extracting # 3 : cost 0 1.607 * * [simplify]: Extracting # 4 : cost 0 1.611 * * [simplify]: iteration 3 : 3487 enodes (cost 372 ) 2.903 * * [simplify]: Extracting # 0 : cost 0 2.913 * * [simplify]: Extracting # 1 : cost 0 2.920 * * [simplify]: Extracting # 2 : cost 0 2.928 * * [simplify]: iteration done: 5000 enodes (cost 372 ) 2.928 * [simplify]: Simplified to: (* (/ y x) 1/2) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (sqrt (exp (/ y x))) (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))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (sqrt y)) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* (/ y x) 1/2) (* 1/2 y) (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (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))) (* (/ y x) 1/2) (* (/ y x) 1/2) (* (/ y x) 1/2) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 2.928 * * * [progress]: adding candidates to table 3.032 * * [progress]: iteration 3 / 4 3.032 * * * [progress]: picking best candidate 3.041 * * * * [pick]: Picked # 3.041 * * * [progress]: localizing error 3.050 * * * [progress]: generating rewritten candidates 3.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 3.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.095 * * * [progress]: generating series expansions 3.095 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 3.095 * [backup-simplify]: Simplify (* (/ y x) -1/2) into (* -1/2 (/ y x)) 3.096 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 3.096 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 3.096 * [taylor]: Taking taylor expansion of -1/2 in x 3.096 * [backup-simplify]: Simplify -1/2 into -1/2 3.096 * [taylor]: Taking taylor expansion of (/ y x) in x 3.096 * [taylor]: Taking taylor expansion of y in x 3.096 * [backup-simplify]: Simplify y into y 3.096 * [taylor]: Taking taylor expansion of x in x 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (/ y 1) into y 3.096 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 3.096 * [taylor]: Taking taylor expansion of -1/2 in y 3.096 * [backup-simplify]: Simplify -1/2 into -1/2 3.096 * [taylor]: Taking taylor expansion of (/ y x) in y 3.096 * [taylor]: Taking taylor expansion of y in y 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [taylor]: Taking taylor expansion of x in y 3.096 * [backup-simplify]: Simplify x into x 3.096 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.096 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 3.096 * [taylor]: Taking taylor expansion of -1/2 in y 3.096 * [backup-simplify]: Simplify -1/2 into -1/2 3.096 * [taylor]: Taking taylor expansion of (/ y x) in y 3.096 * [taylor]: Taking taylor expansion of y in y 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [taylor]: Taking taylor expansion of x in y 3.096 * [backup-simplify]: Simplify x into x 3.096 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.096 * [backup-simplify]: Simplify (* -1/2 (/ 1 x)) into (/ -1/2 x) 3.096 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 3.096 * [taylor]: Taking taylor expansion of -1/2 in x 3.097 * [backup-simplify]: Simplify -1/2 into -1/2 3.097 * [taylor]: Taking taylor expansion of x in x 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.097 * [backup-simplify]: Simplify -1/2 into -1/2 3.097 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.098 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 x))) into 0 3.098 * [taylor]: Taking taylor expansion of 0 in x 3.098 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.100 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.100 * [taylor]: Taking taylor expansion of 0 in x 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.102 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.102 * [taylor]: Taking taylor expansion of 0 in x 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) y)) into (* -1/2 (/ y x)) 3.103 * [backup-simplify]: Simplify (* (/ (/ 1 y) (/ 1 x)) -1/2) into (* -1/2 (/ x y)) 3.103 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 3.103 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.103 * [taylor]: Taking taylor expansion of -1/2 in x 3.103 * [backup-simplify]: Simplify -1/2 into -1/2 3.103 * [taylor]: Taking taylor expansion of (/ x y) in x 3.103 * [taylor]: Taking taylor expansion of x in x 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 1 into 1 3.103 * [taylor]: Taking taylor expansion of y in x 3.103 * [backup-simplify]: Simplify y into y 3.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.103 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.103 * [taylor]: Taking taylor expansion of -1/2 in y 3.103 * [backup-simplify]: Simplify -1/2 into -1/2 3.103 * [taylor]: Taking taylor expansion of (/ x y) in y 3.103 * [taylor]: Taking taylor expansion of x in y 3.103 * [backup-simplify]: Simplify x into x 3.103 * [taylor]: Taking taylor expansion of y in y 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 1 into 1 3.104 * [backup-simplify]: Simplify (/ x 1) into x 3.104 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.104 * [taylor]: Taking taylor expansion of -1/2 in y 3.104 * [backup-simplify]: Simplify -1/2 into -1/2 3.104 * [taylor]: Taking taylor expansion of (/ x y) in y 3.104 * [taylor]: Taking taylor expansion of x in y 3.104 * [backup-simplify]: Simplify x into x 3.104 * [taylor]: Taking taylor expansion of y in y 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 1 into 1 3.104 * [backup-simplify]: Simplify (/ x 1) into x 3.104 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 3.104 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 3.104 * [taylor]: Taking taylor expansion of -1/2 in x 3.104 * [backup-simplify]: Simplify -1/2 into -1/2 3.104 * [taylor]: Taking taylor expansion of x in x 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 1 into 1 3.105 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 3.105 * [backup-simplify]: Simplify -1/2 into -1/2 3.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 3.106 * [taylor]: Taking taylor expansion of 0 in x 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.107 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.108 * [taylor]: Taking taylor expansion of 0 in x 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.112 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.112 * [taylor]: Taking taylor expansion of 0 in x 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* -1/2 (/ y x)) 3.112 * [backup-simplify]: Simplify (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) into (* -1/2 (/ x y)) 3.112 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 3.112 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.112 * [taylor]: Taking taylor expansion of -1/2 in x 3.112 * [backup-simplify]: Simplify -1/2 into -1/2 3.112 * [taylor]: Taking taylor expansion of (/ x y) in x 3.113 * [taylor]: Taking taylor expansion of x in x 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [taylor]: Taking taylor expansion of y in x 3.113 * [backup-simplify]: Simplify y into y 3.113 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.113 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.113 * [taylor]: Taking taylor expansion of -1/2 in y 3.113 * [backup-simplify]: Simplify -1/2 into -1/2 3.113 * [taylor]: Taking taylor expansion of (/ x y) in y 3.113 * [taylor]: Taking taylor expansion of x in y 3.113 * [backup-simplify]: Simplify x into x 3.113 * [taylor]: Taking taylor expansion of y in y 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (/ x 1) into x 3.113 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.113 * [taylor]: Taking taylor expansion of -1/2 in y 3.113 * [backup-simplify]: Simplify -1/2 into -1/2 3.113 * [taylor]: Taking taylor expansion of (/ x y) in y 3.113 * [taylor]: Taking taylor expansion of x in y 3.113 * [backup-simplify]: Simplify x into x 3.113 * [taylor]: Taking taylor expansion of y in y 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (/ x 1) into x 3.113 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 3.113 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 3.113 * [taylor]: Taking taylor expansion of -1/2 in x 3.113 * [backup-simplify]: Simplify -1/2 into -1/2 3.113 * [taylor]: Taking taylor expansion of x in x 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 3.114 * [backup-simplify]: Simplify -1/2 into -1/2 3.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.115 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 3.115 * [taylor]: Taking taylor expansion of 0 in x 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.118 * [taylor]: Taking taylor expansion of 0 in x 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.119 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.122 * [taylor]: Taking taylor expansion of 0 in x 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* -1/2 (/ y x)) 3.122 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.122 * [backup-simplify]: Simplify (- (* (/ y x) -1/2) x) into (- (+ x (* 1/2 (/ y x)))) 3.122 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0 3.122 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 3.122 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 3.122 * [taylor]: Taking taylor expansion of x in x 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.122 * [taylor]: Taking taylor expansion of 1/2 in x 3.122 * [backup-simplify]: Simplify 1/2 into 1/2 3.122 * [taylor]: Taking taylor expansion of (/ y x) in x 3.122 * [taylor]: Taking taylor expansion of y in x 3.122 * [backup-simplify]: Simplify y into y 3.122 * [taylor]: Taking taylor expansion of x in x 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (/ y 1) into y 3.122 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 3.122 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 3.123 * [taylor]: Taking taylor expansion of x in y 3.123 * [backup-simplify]: Simplify x into x 3.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.123 * [taylor]: Taking taylor expansion of 1/2 in y 3.123 * [backup-simplify]: Simplify 1/2 into 1/2 3.123 * [taylor]: Taking taylor expansion of (/ y x) in y 3.123 * [taylor]: Taking taylor expansion of y in y 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [taylor]: Taking taylor expansion of x in y 3.123 * [backup-simplify]: Simplify x into x 3.123 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.123 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 3.123 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 3.123 * [taylor]: Taking taylor expansion of x in y 3.123 * [backup-simplify]: Simplify x into x 3.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.123 * [taylor]: Taking taylor expansion of 1/2 in y 3.123 * [backup-simplify]: Simplify 1/2 into 1/2 3.123 * [taylor]: Taking taylor expansion of (/ y x) in y 3.123 * [taylor]: Taking taylor expansion of y in y 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [taylor]: Taking taylor expansion of x in y 3.123 * [backup-simplify]: Simplify x into x 3.123 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.123 * [backup-simplify]: Simplify (+ x 0) into x 3.123 * [backup-simplify]: Simplify (- x) into (- x) 3.123 * [taylor]: Taking taylor expansion of (- x) in x 3.123 * [taylor]: Taking taylor expansion of x in x 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 3.123 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x)) 3.124 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x))) 3.124 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x 3.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 3.124 * [taylor]: Taking taylor expansion of 1/2 in x 3.124 * [backup-simplify]: Simplify 1/2 into 1/2 3.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.124 * [taylor]: Taking taylor expansion of x in x 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [backup-simplify]: Simplify (/ 1 1) into 1 3.124 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.125 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.125 * [backup-simplify]: Simplify -1/2 into -1/2 3.125 * [backup-simplify]: Simplify (- 0) into 0 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 3.126 * [backup-simplify]: Simplify (+ 0 0) into 0 3.126 * [backup-simplify]: Simplify (- 0) into 0 3.126 * [taylor]: Taking taylor expansion of 0 in x 3.126 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.128 * [backup-simplify]: Simplify (- 0) into 0 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify (- 1) into -1 3.128 * [backup-simplify]: Simplify -1 into -1 3.128 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.129 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [backup-simplify]: Simplify (- 0) into 0 3.130 * [taylor]: Taking taylor expansion of 0 in x 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.132 * [backup-simplify]: Simplify (- 0) into 0 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify (- 0) into 0 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [backup-simplify]: Simplify (- 0) into 0 3.134 * [taylor]: Taking taylor expansion of 0 in x 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (- 0) into 0 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x)))) 3.136 * [backup-simplify]: Simplify (- (* (/ (/ 1 y) (/ 1 x)) -1/2) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 3.136 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 3.136 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 3.137 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 3.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.137 * [taylor]: Taking taylor expansion of 1/2 in x 3.137 * [backup-simplify]: Simplify 1/2 into 1/2 3.137 * [taylor]: Taking taylor expansion of (/ x y) in x 3.137 * [taylor]: Taking taylor expansion of x in x 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 1 into 1 3.137 * [taylor]: Taking taylor expansion of y in x 3.137 * [backup-simplify]: Simplify y into y 3.137 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.137 * [taylor]: Taking taylor expansion of x in x 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 1 into 1 3.137 * [backup-simplify]: Simplify (/ 1 1) into 1 3.137 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 3.137 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 3.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.137 * [taylor]: Taking taylor expansion of 1/2 in y 3.137 * [backup-simplify]: Simplify 1/2 into 1/2 3.137 * [taylor]: Taking taylor expansion of (/ x y) in y 3.137 * [taylor]: Taking taylor expansion of x in y 3.137 * [backup-simplify]: Simplify x into x 3.137 * [taylor]: Taking taylor expansion of y in y 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 1 into 1 3.138 * [backup-simplify]: Simplify (/ x 1) into x 3.138 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.138 * [taylor]: Taking taylor expansion of x in y 3.138 * [backup-simplify]: Simplify x into x 3.138 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.138 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 3.138 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 3.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.138 * [taylor]: Taking taylor expansion of 1/2 in y 3.138 * [backup-simplify]: Simplify 1/2 into 1/2 3.138 * [taylor]: Taking taylor expansion of (/ x y) in y 3.138 * [taylor]: Taking taylor expansion of x in y 3.138 * [backup-simplify]: Simplify x into x 3.138 * [taylor]: Taking taylor expansion of y in y 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 1 into 1 3.138 * [backup-simplify]: Simplify (/ x 1) into x 3.138 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.138 * [taylor]: Taking taylor expansion of x in y 3.138 * [backup-simplify]: Simplify x into x 3.138 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.138 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 3.138 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 3.138 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 3.138 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 3.138 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.138 * [taylor]: Taking taylor expansion of 1/2 in x 3.138 * [backup-simplify]: Simplify 1/2 into 1/2 3.138 * [taylor]: Taking taylor expansion of x in x 3.138 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 3.140 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 3.140 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 3.140 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.140 * [taylor]: Taking taylor expansion of x in x 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (/ 1 1) into 1 3.141 * [backup-simplify]: Simplify (- 1) into -1 3.141 * [backup-simplify]: Simplify -1 into -1 3.141 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.141 * [backup-simplify]: Simplify (- 0) into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.144 * [backup-simplify]: Simplify (- 0) into 0 3.144 * [taylor]: Taking taylor expansion of 0 in x 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify (- 0) into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.146 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.146 * [backup-simplify]: Simplify -1/2 into -1/2 3.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.149 * [backup-simplify]: Simplify (+ 0 0) into 0 3.149 * [backup-simplify]: Simplify (- 0) into 0 3.149 * [taylor]: Taking taylor expansion of 0 in x 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 0 into 0 3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (- 0) into 0 3.150 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.156 * [backup-simplify]: Simplify (- 0) into 0 3.156 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.160 * [backup-simplify]: Simplify (+ 0 0) into 0 3.160 * [backup-simplify]: Simplify (- 0) into 0 3.160 * [taylor]: Taking taylor expansion of 0 in x 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.161 * [backup-simplify]: Simplify (- 0) into 0 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x)))) 3.162 * [backup-simplify]: Simplify (- (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 3.162 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 3.162 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 3.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.162 * [taylor]: Taking taylor expansion of x in x 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 1 into 1 3.162 * [backup-simplify]: Simplify (/ 1 1) into 1 3.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.162 * [taylor]: Taking taylor expansion of 1/2 in x 3.162 * [backup-simplify]: Simplify 1/2 into 1/2 3.162 * [taylor]: Taking taylor expansion of (/ x y) in x 3.162 * [taylor]: Taking taylor expansion of x in x 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 1 into 1 3.162 * [taylor]: Taking taylor expansion of y in x 3.163 * [backup-simplify]: Simplify y into y 3.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.163 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 3.163 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.163 * [taylor]: Taking taylor expansion of x in y 3.163 * [backup-simplify]: Simplify x into x 3.163 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.163 * [taylor]: Taking taylor expansion of 1/2 in y 3.163 * [backup-simplify]: Simplify 1/2 into 1/2 3.163 * [taylor]: Taking taylor expansion of (/ x y) in y 3.163 * [taylor]: Taking taylor expansion of x in y 3.163 * [backup-simplify]: Simplify x into x 3.163 * [taylor]: Taking taylor expansion of y in y 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 1 into 1 3.163 * [backup-simplify]: Simplify (/ x 1) into x 3.163 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 3.163 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.163 * [taylor]: Taking taylor expansion of x in y 3.163 * [backup-simplify]: Simplify x into x 3.163 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.163 * [taylor]: Taking taylor expansion of 1/2 in y 3.163 * [backup-simplify]: Simplify 1/2 into 1/2 3.163 * [taylor]: Taking taylor expansion of (/ x y) in y 3.163 * [taylor]: Taking taylor expansion of x in y 3.163 * [backup-simplify]: Simplify x into x 3.163 * [taylor]: Taking taylor expansion of y in y 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 1 into 1 3.163 * [backup-simplify]: Simplify (/ x 1) into x 3.164 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 3.164 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 3.164 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x)) 3.164 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 3.164 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.164 * [taylor]: Taking taylor expansion of 1/2 in x 3.164 * [backup-simplify]: Simplify 1/2 into 1/2 3.164 * [taylor]: Taking taylor expansion of x in x 3.164 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify 1 into 1 3.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 3.166 * [backup-simplify]: Simplify (- 0) into 0 3.166 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 3.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.166 * [taylor]: Taking taylor expansion of x in x 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [backup-simplify]: Simplify (/ 1 1) into 1 3.166 * [backup-simplify]: Simplify 1 into 1 3.167 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.167 * [backup-simplify]: Simplify (- 0) into 0 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.169 * [backup-simplify]: Simplify (- 0) into 0 3.170 * [backup-simplify]: Simplify (+ 0 0) into 0 3.170 * [taylor]: Taking taylor expansion of 0 in x 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.170 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.171 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.171 * [backup-simplify]: Simplify -1/2 into -1/2 3.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.174 * [backup-simplify]: Simplify (- 0) into 0 3.175 * [backup-simplify]: Simplify (+ 0 0) into 0 3.175 * [taylor]: Taking taylor expansion of 0 in x 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.177 * [backup-simplify]: Simplify (- 0) into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.180 * [backup-simplify]: Simplify (- 0) into 0 3.180 * [backup-simplify]: Simplify (+ 0 0) into 0 3.181 * [taylor]: Taking taylor expansion of 0 in x 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x)))) 3.182 * * * [progress]: simplifying candidates 3.183 * [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)))) 3.184 * * [simplify]: Extracting # 0 : cost 0 3.184 * * [simplify]: Extracting # 1 : cost 0 3.184 * * [simplify]: Extracting # 2 : cost 0 3.184 * * [simplify]: Extracting # 3 : cost 0 3.185 * * [simplify]: Extracting # 4 : cost 0 3.185 * * [simplify]: Extracting # 5 : cost 0 3.185 * * [simplify]: iteration 0 : 91 enodes (cost 434 ) 3.220 * * [simplify]: Extracting # 0 : cost 0 3.220 * * [simplify]: Extracting # 1 : cost 0 3.220 * * [simplify]: Extracting # 2 : cost 0 3.221 * * [simplify]: Extracting # 3 : cost 0 3.221 * * [simplify]: iteration 1 : 216 enodes (cost 400 ) 3.331 * * [simplify]: Extracting # 0 : cost 0 3.336 * * [simplify]: Extracting # 1 : cost 0 3.337 * * [simplify]: Extracting # 2 : cost 0 3.338 * * [simplify]: Extracting # 3 : cost 0 3.339 * * [simplify]: iteration 2 : 879 enodes (cost 373 ) 3.791 * * [simplify]: Extracting # 0 : cost 0 3.804 * * [simplify]: Extracting # 1 : cost 0 3.810 * * [simplify]: Extracting # 2 : cost 0 3.815 * * [simplify]: Extracting # 3 : cost 0 3.821 * * [simplify]: Extracting # 4 : cost 0 3.826 * * [simplify]: Extracting # 5 : cost 0 3.831 * * [simplify]: iteration done: 5000 enodes (cost 371 ) 3.832 * [simplify]: Simplified to: (* -1/2 (/ y x)) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (exp (* (/ y x) -1/2)) (pow (* -1/2 (/ y x)) 3) (pow (* -1/2 (/ y x)) 3) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (pow (* -1/2 (/ y x)) 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)) (* (* (cbrt -1/2) (cbrt -1/2)) (/ y x)) (* (sqrt -1/2) (/ y x)) (/ 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) (* y -1/2) (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)) (+ (* (* -1/2 (/ y x)) (+ x (* -1/2 (/ y x)))) (* x x)) (- x) (- (* (* (/ y x) (/ y x)) 1/4) (* x x)) (+ (* (/ y x) -1/2) 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) 3.832 * * * [progress]: adding candidates to table 3.911 * * [progress]: iteration 4 / 4 3.912 * * * [progress]: picking best candidate 3.914 * * * * [pick]: Picked # 3.914 * * * [progress]: localizing error 3.927 * * * [progress]: generating rewritten candidates 3.927 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.990 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.006 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.021 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.047 * * * [progress]: generating series expansions 4.047 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.048 * [backup-simplify]: Simplify (/ (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y))) into (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) 4.048 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in (x y) around 0 4.048 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in y 4.048 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 4.048 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 4.048 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.048 * [taylor]: Taking taylor expansion of x in y 4.048 * [backup-simplify]: Simplify x into x 4.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.048 * [taylor]: Taking taylor expansion of y in y 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 4.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.048 * [taylor]: Taking taylor expansion of x in y 4.048 * [backup-simplify]: Simplify x into x 4.048 * [taylor]: Taking taylor expansion of y in y 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.048 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.049 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 4.049 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.049 * [backup-simplify]: Simplify (- 0) into 0 4.049 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.050 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 4.050 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.050 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.050 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 4.050 * [backup-simplify]: Simplify (+ 0 0) into 0 4.050 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.051 * [backup-simplify]: Simplify (- 1) into -1 4.051 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.051 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ -1 (pow x 2))))) into 1 4.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 4.052 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 4.052 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 4.052 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 4.052 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.052 * [taylor]: Taking taylor expansion of x in x 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.052 * [taylor]: Taking taylor expansion of y in x 4.052 * [backup-simplify]: Simplify y into y 4.052 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 4.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.052 * [taylor]: Taking taylor expansion of x in x 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [taylor]: Taking taylor expansion of y in x 4.052 * [backup-simplify]: Simplify y into y 4.052 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.052 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 4.052 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 4.052 * [backup-simplify]: Simplify (- y) into (- y) 4.052 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.053 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 4.053 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 4.053 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.053 * [backup-simplify]: Simplify (- 0) into 0 4.053 * [backup-simplify]: Simplify (+ 0 0) into 0 4.054 * [backup-simplify]: Simplify (- 0) into 0 4.054 * [backup-simplify]: Simplify (+ 0 0) into 0 4.054 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 4.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 4.054 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 4.054 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 4.054 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 4.054 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.054 * [taylor]: Taking taylor expansion of x in x 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.055 * [taylor]: Taking taylor expansion of y in x 4.055 * [backup-simplify]: Simplify y into y 4.055 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 4.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.055 * [taylor]: Taking taylor expansion of x in x 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 1 into 1 4.055 * [taylor]: Taking taylor expansion of y in x 4.055 * [backup-simplify]: Simplify y into y 4.055 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.055 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 4.055 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 4.055 * [backup-simplify]: Simplify (- y) into (- y) 4.055 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.055 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 4.055 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 4.055 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.056 * [backup-simplify]: Simplify (- 0) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.056 * [backup-simplify]: Simplify (- 0) into 0 4.057 * [backup-simplify]: Simplify (+ 0 0) into 0 4.057 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 4.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 4.057 * [taylor]: Taking taylor expansion of (sqrt y) in y 4.057 * [taylor]: Taking taylor expansion of y in y 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify 1 into 1 4.058 * [backup-simplify]: Simplify (sqrt 0) into 0 4.059 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [taylor]: Taking taylor expansion of 0 in y 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.060 * [backup-simplify]: Simplify (- 0) into 0 4.060 * [backup-simplify]: Simplify (+ 0 0) into 0 4.060 * [backup-simplify]: Simplify (* 1 1) into 1 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.061 * [backup-simplify]: Simplify (+ 1 0) into 1 4.061 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 1 (- y))) (* 0 (/ 0 (- y))))) into 1 4.062 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 4.062 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 4.062 * [taylor]: Taking taylor expansion of 1/2 in y 4.062 * [backup-simplify]: Simplify 1/2 into 1/2 4.062 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 4.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.062 * [taylor]: Taking taylor expansion of y in y 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 1 into 1 4.062 * [backup-simplify]: Simplify (/ 1 1) into 1 4.063 * [backup-simplify]: Simplify (sqrt 0) into 0 4.064 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.065 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 4.066 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.066 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.068 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.069 * [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)))))) 4.070 * [backup-simplify]: Simplify (/ (sqrt (- (pow (/ 1 x) 4) (* (/ 1 y) (/ 1 y)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) 4.070 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 4.070 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 4.070 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 4.070 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 4.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.070 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.070 * [taylor]: Taking taylor expansion of x in y 4.070 * [backup-simplify]: Simplify x into x 4.070 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.070 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.070 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.070 * [taylor]: Taking taylor expansion of y in y 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (* 1 1) into 1 4.071 * [backup-simplify]: Simplify (/ 1 1) into 1 4.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.071 * [taylor]: Taking taylor expansion of x in y 4.071 * [backup-simplify]: Simplify x into x 4.071 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.071 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.071 * [taylor]: Taking taylor expansion of y in y 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.072 * [backup-simplify]: Simplify (/ 1 1) into 1 4.072 * [backup-simplify]: Simplify (- 1) into -1 4.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.073 * [backup-simplify]: Simplify (- 1) into -1 4.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.073 * [backup-simplify]: Simplify (/ -1 -1) into 1 4.074 * [backup-simplify]: Simplify (sqrt 0) into 0 4.075 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.075 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 4.075 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.075 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.075 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.075 * [taylor]: Taking taylor expansion of x in x 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (* 1 1) into 1 4.076 * [backup-simplify]: Simplify (* 1 1) into 1 4.076 * [backup-simplify]: Simplify (/ 1 1) into 1 4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.076 * [taylor]: Taking taylor expansion of y in x 4.076 * [backup-simplify]: Simplify y into y 4.076 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.076 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.076 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.077 * [taylor]: Taking taylor expansion of x in x 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 1 into 1 4.077 * [backup-simplify]: Simplify (* 1 1) into 1 4.077 * [backup-simplify]: Simplify (/ 1 1) into 1 4.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.077 * [taylor]: Taking taylor expansion of y in x 4.077 * [backup-simplify]: Simplify y into y 4.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.078 * [backup-simplify]: Simplify (+ 1 0) into 1 4.078 * [backup-simplify]: Simplify (+ 1 0) into 1 4.078 * [backup-simplify]: Simplify (/ 1 1) into 1 4.079 * [backup-simplify]: Simplify (sqrt 1) into 1 4.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (+ 0 0) into 0 4.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify (+ 0 0) into 0 4.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.088 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 4.088 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.088 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.088 * [taylor]: Taking taylor expansion of x in x 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (* 1 1) into 1 4.089 * [backup-simplify]: Simplify (* 1 1) into 1 4.089 * [backup-simplify]: Simplify (/ 1 1) into 1 4.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.089 * [taylor]: Taking taylor expansion of y in x 4.089 * [backup-simplify]: Simplify y into y 4.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.090 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.090 * [taylor]: Taking taylor expansion of x in x 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (* 1 1) into 1 4.090 * [backup-simplify]: Simplify (/ 1 1) into 1 4.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.090 * [taylor]: Taking taylor expansion of y in x 4.090 * [backup-simplify]: Simplify y into y 4.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.091 * [backup-simplify]: Simplify (+ 1 0) into 1 4.091 * [backup-simplify]: Simplify (+ 1 0) into 1 4.092 * [backup-simplify]: Simplify (/ 1 1) into 1 4.092 * [backup-simplify]: Simplify (sqrt 1) into 1 4.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (+ 0 0) into 0 4.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ 0 0) into 0 4.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.096 * [taylor]: Taking taylor expansion of 1 in y 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [taylor]: Taking taylor expansion of 0 in y 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (+ 0 0) into 0 4.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.099 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into (/ 1 y) 4.100 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 4.100 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.100 * [taylor]: Taking taylor expansion of 1/2 in y 4.100 * [backup-simplify]: Simplify 1/2 into 1/2 4.100 * [taylor]: Taking taylor expansion of y in y 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.101 * [backup-simplify]: Simplify 1/2 into 1/2 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (+ 0 0) into 0 4.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.105 * [backup-simplify]: Simplify (- 0) into 0 4.105 * [backup-simplify]: Simplify (+ 0 0) into 0 4.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 y)) 1)) (* (/ 1 y) (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 4.107 * [taylor]: Taking taylor expansion of 0 in y 4.107 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.111 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.114 * [backup-simplify]: Simplify (- 0) into 0 4.114 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.117 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.117 * [taylor]: Taking taylor expansion of -1/8 in y 4.117 * [backup-simplify]: Simplify -1/8 into -1/8 4.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.117 * [taylor]: Taking taylor expansion of y in y 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 1 into 1 4.117 * [backup-simplify]: Simplify (* 1 1) into 1 4.118 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 4.120 * [backup-simplify]: Simplify (/ (sqrt (- (pow (/ 1 (- x)) 4) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) 4.120 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 4.121 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 4.121 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 4.121 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 4.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.121 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.121 * [taylor]: Taking taylor expansion of x in y 4.121 * [backup-simplify]: Simplify x into x 4.121 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.121 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.121 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.121 * [taylor]: Taking taylor expansion of y in y 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (* 1 1) into 1 4.122 * [backup-simplify]: Simplify (/ 1 1) into 1 4.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 4.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.122 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.122 * [taylor]: Taking taylor expansion of x in y 4.122 * [backup-simplify]: Simplify x into x 4.122 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.122 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.122 * [taylor]: Taking taylor expansion of y in y 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.123 * [backup-simplify]: Simplify (/ 1 1) into 1 4.123 * [backup-simplify]: Simplify (- 1) into -1 4.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.124 * [backup-simplify]: Simplify (+ 0 1) into 1 4.124 * [backup-simplify]: Simplify (/ -1 1) into -1 4.125 * [backup-simplify]: Simplify (sqrt 0) into 0 4.126 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.126 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 4.126 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.126 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.126 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.126 * [taylor]: Taking taylor expansion of x in x 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (* 1 1) into 1 4.127 * [backup-simplify]: Simplify (* 1 1) into 1 4.127 * [backup-simplify]: Simplify (/ 1 1) into 1 4.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.127 * [taylor]: Taking taylor expansion of y in x 4.127 * [backup-simplify]: Simplify y into y 4.127 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.128 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.128 * [taylor]: Taking taylor expansion of x in x 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (* 1 1) into 1 4.128 * [backup-simplify]: Simplify (/ 1 1) into 1 4.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.128 * [taylor]: Taking taylor expansion of y in x 4.128 * [backup-simplify]: Simplify y into y 4.128 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.129 * [backup-simplify]: Simplify (+ 1 0) into 1 4.129 * [backup-simplify]: Simplify (+ 1 0) into 1 4.130 * [backup-simplify]: Simplify (/ 1 1) into 1 4.130 * [backup-simplify]: Simplify (sqrt 1) into 1 4.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (+ 0 0) into 0 4.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify (+ 0 0) into 0 4.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.135 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 4.135 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.135 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.135 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.135 * [taylor]: Taking taylor expansion of x in x 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (* 1 1) into 1 4.136 * [backup-simplify]: Simplify (* 1 1) into 1 4.136 * [backup-simplify]: Simplify (/ 1 1) into 1 4.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.136 * [taylor]: Taking taylor expansion of y in x 4.136 * [backup-simplify]: Simplify y into y 4.136 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.136 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.136 * [taylor]: Taking taylor expansion of x in x 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (* 1 1) into 1 4.137 * [backup-simplify]: Simplify (/ 1 1) into 1 4.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.137 * [taylor]: Taking taylor expansion of y in x 4.137 * [backup-simplify]: Simplify y into y 4.137 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.138 * [backup-simplify]: Simplify (+ 1 0) into 1 4.138 * [backup-simplify]: Simplify (+ 1 0) into 1 4.138 * [backup-simplify]: Simplify (/ 1 1) into 1 4.139 * [backup-simplify]: Simplify (sqrt 1) into 1 4.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ 0 0) into 0 4.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.142 * [backup-simplify]: Simplify (+ 0 0) into 0 4.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.144 * [taylor]: Taking taylor expansion of 1 in y 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [taylor]: Taking taylor expansion of 0 in y 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.147 * [backup-simplify]: Simplify (+ 0 0) into 0 4.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.148 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into (- (/ 1 y)) 4.150 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 4.150 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 4.150 * [taylor]: Taking taylor expansion of -1/2 in y 4.150 * [backup-simplify]: Simplify -1/2 into -1/2 4.150 * [taylor]: Taking taylor expansion of y in y 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.151 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.151 * [backup-simplify]: Simplify -1/2 into -1/2 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.154 * [backup-simplify]: Simplify (+ 0 0) into 0 4.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.156 * [backup-simplify]: Simplify (+ 0 0) into 0 4.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 y) 1)) (* (- (/ 1 y)) (/ 0 1)))) into 0 4.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 4.157 * [taylor]: Taking taylor expansion of 0 in y 4.157 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.161 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 4.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.164 * [backup-simplify]: Simplify (+ 0 0) into 0 4.165 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into 0 4.166 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.166 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.166 * [taylor]: Taking taylor expansion of -1/8 in y 4.166 * [backup-simplify]: Simplify -1/8 into -1/8 4.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.166 * [taylor]: Taking taylor expansion of y in y 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (* 1 1) into 1 4.167 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 4.169 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.169 * [backup-simplify]: Simplify (sqrt (- (* x x) y)) into (sqrt (- (pow x 2) y)) 4.169 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in (x y) around 0 4.169 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in y 4.169 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 4.169 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.169 * [taylor]: Taking taylor expansion of x in y 4.169 * [backup-simplify]: Simplify x into x 4.169 * [taylor]: Taking taylor expansion of y in y 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.169 * [backup-simplify]: Simplify (- 0) into 0 4.170 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.170 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.170 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.170 * [backup-simplify]: Simplify (- 1) into -1 4.171 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.171 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (pow x 2)))) into (/ -1/2 x) 4.171 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in x 4.171 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 4.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.171 * [taylor]: Taking taylor expansion of x in x 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [taylor]: Taking taylor expansion of y in x 4.171 * [backup-simplify]: Simplify y into y 4.171 * [backup-simplify]: Simplify (- y) into (- y) 4.171 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.171 * [backup-simplify]: Simplify (sqrt (- y)) into (sqrt (- y)) 4.171 * [backup-simplify]: Simplify (- 0) into 0 4.172 * [backup-simplify]: Simplify (+ 0 0) into 0 4.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- y)))) into 0 4.172 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in x 4.172 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 4.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.172 * [taylor]: Taking taylor expansion of x in x 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [taylor]: Taking taylor expansion of y in x 4.172 * [backup-simplify]: Simplify y into y 4.172 * [backup-simplify]: Simplify (- y) into (- y) 4.172 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.172 * [backup-simplify]: Simplify (sqrt (- y)) into (sqrt (- y)) 4.173 * [backup-simplify]: Simplify (- 0) into 0 4.173 * [backup-simplify]: Simplify (+ 0 0) into 0 4.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- y)))) into 0 4.173 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 4.173 * [taylor]: Taking taylor expansion of (- y) in y 4.173 * [taylor]: Taking taylor expansion of y in y 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.173 * [backup-simplify]: Simplify (- 0) into 0 4.174 * [backup-simplify]: Simplify (- 1) into -1 4.174 * [backup-simplify]: Simplify (sqrt 0) into 0 4.175 * [backup-simplify]: Simplify (- 1) into -1 4.176 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [taylor]: Taking taylor expansion of 0 in y 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.176 * [backup-simplify]: Simplify (* 1 1) into 1 4.177 * [backup-simplify]: Simplify (- 0) into 0 4.177 * [backup-simplify]: Simplify (+ 1 0) into 1 4.178 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- y)))) into (/ 1/2 (sqrt (- y))) 4.178 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- y))) in y 4.178 * [taylor]: Taking taylor expansion of 1/2 in y 4.178 * [backup-simplify]: Simplify 1/2 into 1/2 4.178 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 4.178 * [taylor]: Taking taylor expansion of (- y) in y 4.178 * [taylor]: Taking taylor expansion of y in y 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (- 0) into 0 4.179 * [backup-simplify]: Simplify (- 1) into -1 4.179 * [backup-simplify]: Simplify (sqrt 0) into 0 4.179 * [backup-simplify]: Simplify (- 1) into -1 4.180 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.181 * [backup-simplify]: Simplify (/ 1/2 +nan.0) into +nan.0 4.181 * [backup-simplify]: Simplify (- 0) into 0 4.183 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.185 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.185 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify (- 0) into 0 4.187 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.187 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.188 * [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)))))) 4.188 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 4.188 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 4.188 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 4.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.188 * [taylor]: Taking taylor expansion of x in y 4.188 * [backup-simplify]: Simplify x into x 4.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.188 * [taylor]: Taking taylor expansion of y in y 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify 1 into 1 4.189 * [backup-simplify]: Simplify (/ 1 1) into 1 4.189 * [backup-simplify]: Simplify (- 1) into -1 4.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.189 * [backup-simplify]: Simplify (sqrt 0) into 0 4.190 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.190 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.190 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.190 * [taylor]: Taking taylor expansion of x in x 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.190 * [backup-simplify]: Simplify (* 1 1) into 1 4.191 * [backup-simplify]: Simplify (/ 1 1) into 1 4.191 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.191 * [taylor]: Taking taylor expansion of y in x 4.191 * [backup-simplify]: Simplify y into y 4.191 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.191 * [backup-simplify]: Simplify (+ 1 0) into 1 4.191 * [backup-simplify]: Simplify (sqrt 1) into 1 4.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (+ 0 0) into 0 4.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.193 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.193 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.193 * [taylor]: Taking taylor expansion of x in x 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [backup-simplify]: Simplify (* 1 1) into 1 4.193 * [backup-simplify]: Simplify (/ 1 1) into 1 4.193 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.193 * [taylor]: Taking taylor expansion of y in x 4.193 * [backup-simplify]: Simplify y into y 4.193 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.194 * [backup-simplify]: Simplify (+ 1 0) into 1 4.194 * [backup-simplify]: Simplify (sqrt 1) into 1 4.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.195 * [backup-simplify]: Simplify (+ 0 0) into 0 4.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.195 * [taylor]: Taking taylor expansion of 1 in y 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [taylor]: Taking taylor expansion of 0 in y 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.197 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.197 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 4.197 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 4.197 * [taylor]: Taking taylor expansion of -1/2 in y 4.197 * [backup-simplify]: Simplify -1/2 into -1/2 4.198 * [taylor]: Taking taylor expansion of y in y 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.198 * [backup-simplify]: Simplify -1/2 into -1/2 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.199 * [backup-simplify]: Simplify (- 0) into 0 4.199 * [backup-simplify]: Simplify (+ 0 0) into 0 4.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 4.202 * [taylor]: Taking taylor expansion of 0 in y 4.202 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.204 * [backup-simplify]: Simplify (- 0) into 0 4.205 * [backup-simplify]: Simplify (+ 0 0) into 0 4.206 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.206 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.206 * [taylor]: Taking taylor expansion of -1/8 in y 4.206 * [backup-simplify]: Simplify -1/8 into -1/8 4.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.206 * [taylor]: Taking taylor expansion of y in y 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [backup-simplify]: Simplify (* 1 1) into 1 4.207 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (- x (* 1/2 (/ y x))) 4.208 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 4.208 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 4.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 4.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 4.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.208 * [taylor]: Taking taylor expansion of x in y 4.209 * [backup-simplify]: Simplify x into x 4.209 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.209 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.209 * [taylor]: Taking taylor expansion of y in y 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (/ 1 1) into 1 4.209 * [backup-simplify]: Simplify (+ 0 1) into 1 4.210 * [backup-simplify]: Simplify (sqrt 0) into 0 4.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.211 * [taylor]: Taking taylor expansion of x in x 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (* 1 1) into 1 4.212 * [backup-simplify]: Simplify (/ 1 1) into 1 4.212 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.212 * [taylor]: Taking taylor expansion of y in x 4.212 * [backup-simplify]: Simplify y into y 4.212 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.212 * [backup-simplify]: Simplify (+ 1 0) into 1 4.213 * [backup-simplify]: Simplify (sqrt 1) into 1 4.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (+ 0 0) into 0 4.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.215 * [taylor]: Taking taylor expansion of x in x 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (* 1 1) into 1 4.215 * [backup-simplify]: Simplify (/ 1 1) into 1 4.215 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.215 * [taylor]: Taking taylor expansion of y in x 4.215 * [backup-simplify]: Simplify y into y 4.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.216 * [backup-simplify]: Simplify (+ 1 0) into 1 4.216 * [backup-simplify]: Simplify (sqrt 1) into 1 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (+ 0 0) into 0 4.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.218 * [taylor]: Taking taylor expansion of 1 in y 4.218 * [backup-simplify]: Simplify 1 into 1 4.218 * [taylor]: Taking taylor expansion of 0 in y 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.220 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.221 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 4.221 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.221 * [taylor]: Taking taylor expansion of 1/2 in y 4.221 * [backup-simplify]: Simplify 1/2 into 1/2 4.221 * [taylor]: Taking taylor expansion of y in y 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.221 * [backup-simplify]: Simplify 1/2 into 1/2 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.223 * [backup-simplify]: Simplify (+ 0 0) into 0 4.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 4.224 * [taylor]: Taking taylor expansion of 0 in y 4.224 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.227 * [backup-simplify]: Simplify (+ 0 0) into 0 4.228 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.228 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.228 * [taylor]: Taking taylor expansion of -1/8 in y 4.228 * [backup-simplify]: Simplify -1/8 into -1/8 4.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.228 * [taylor]: Taking taylor expansion of y in y 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (* 1 1) into 1 4.229 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/2 (/ y x)) x) 4.231 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.231 * [backup-simplify]: Simplify (sqrt (- (pow x 4) (* y y))) into (sqrt (- (pow x 4) (pow y 2))) 4.231 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in (x y) around 0 4.231 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in y 4.231 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 4.231 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.231 * [taylor]: Taking taylor expansion of x in y 4.231 * [backup-simplify]: Simplify x into x 4.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.231 * [taylor]: Taking taylor expansion of y in y 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.231 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.231 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 4.231 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 4.232 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.232 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 4.232 * [backup-simplify]: Simplify (+ 0 0) into 0 4.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 4.232 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in x 4.232 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 4.232 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.232 * [taylor]: Taking taylor expansion of x in x 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.232 * [taylor]: Taking taylor expansion of y in x 4.232 * [backup-simplify]: Simplify y into y 4.233 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.233 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 4.233 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 4.233 * [backup-simplify]: Simplify (sqrt (- (pow y 2))) into (sqrt (- (pow y 2))) 4.233 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.233 * [backup-simplify]: Simplify (- 0) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 2))))) into 0 4.234 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in x 4.234 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 4.234 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.234 * [taylor]: Taking taylor expansion of x in x 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.234 * [taylor]: Taking taylor expansion of y in x 4.234 * [backup-simplify]: Simplify y into y 4.234 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.234 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 4.234 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 4.235 * [backup-simplify]: Simplify (sqrt (- (pow y 2))) into (sqrt (- (pow y 2))) 4.235 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.235 * [backup-simplify]: Simplify (- 0) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 2))))) into 0 4.236 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2))) in y 4.236 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 4.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.236 * [taylor]: Taking taylor expansion of y in y 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (* 1 1) into 1 4.236 * [backup-simplify]: Simplify (- 1) into -1 4.237 * [backup-simplify]: Simplify (- 1) into -1 4.237 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.238 * [backup-simplify]: Simplify (- 0) into 0 4.238 * [backup-simplify]: Simplify (- 1) into -1 4.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.239 * [taylor]: Taking taylor expansion of 0 in y 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.240 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.240 * [backup-simplify]: Simplify (- 0) into 0 4.240 * [backup-simplify]: Simplify (+ 0 0) into 0 4.241 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 2))))) into 0 4.241 * [taylor]: Taking taylor expansion of 0 in y 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.242 * [backup-simplify]: Simplify (- 0) into 0 4.242 * [backup-simplify]: Simplify (+ 0 0) into 0 4.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 2))))) into 0 4.243 * [taylor]: Taking taylor expansion of 0 in y 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify (* (sqrt -1) (* y 1)) into (* y (sqrt -1)) 4.244 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 x) 4) (* (/ 1 y) (/ 1 y)))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) 4.244 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in (x y) around 0 4.244 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in y 4.244 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 4.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.244 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.244 * [taylor]: Taking taylor expansion of x in y 4.244 * [backup-simplify]: Simplify x into x 4.244 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.245 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.245 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.245 * [taylor]: Taking taylor expansion of y in y 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.245 * [backup-simplify]: Simplify (* 1 1) into 1 4.246 * [backup-simplify]: Simplify (/ 1 1) into 1 4.246 * [backup-simplify]: Simplify (- 1) into -1 4.246 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.247 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (- 0) into 0 4.248 * [backup-simplify]: Simplify (+ 0 0) into 0 4.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.249 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 4.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.249 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.249 * [taylor]: Taking taylor expansion of x in x 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (* 1 1) into 1 4.249 * [backup-simplify]: Simplify (* 1 1) into 1 4.250 * [backup-simplify]: Simplify (/ 1 1) into 1 4.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.250 * [taylor]: Taking taylor expansion of y in x 4.250 * [backup-simplify]: Simplify y into y 4.250 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.250 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.250 * [backup-simplify]: Simplify (+ 1 0) into 1 4.250 * [backup-simplify]: Simplify (sqrt 1) into 1 4.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (+ 0 0) into 0 4.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.252 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 4.252 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.252 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.252 * [taylor]: Taking taylor expansion of x in x 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (* 1 1) into 1 4.253 * [backup-simplify]: Simplify (* 1 1) into 1 4.253 * [backup-simplify]: Simplify (/ 1 1) into 1 4.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.253 * [taylor]: Taking taylor expansion of y in x 4.253 * [backup-simplify]: Simplify y into y 4.253 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.253 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.254 * [backup-simplify]: Simplify (+ 1 0) into 1 4.254 * [backup-simplify]: Simplify (sqrt 1) into 1 4.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (+ 0 0) into 0 4.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.256 * [taylor]: Taking taylor expansion of 1 in y 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [taylor]: Taking taylor expansion of 0 in y 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ 0 0) into 0 4.258 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 4.258 * [taylor]: Taking taylor expansion of 0 in y 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (+ 0 0) into 0 4.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 4.261 * [taylor]: Taking taylor expansion of 0 in y 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.263 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.263 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 4.264 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 2)) 4.264 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 4.264 * [taylor]: Taking taylor expansion of -1/2 in y 4.264 * [backup-simplify]: Simplify -1/2 into -1/2 4.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.264 * [taylor]: Taking taylor expansion of y in y 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 1 into 1 4.264 * [backup-simplify]: Simplify (* 1 1) into 1 4.265 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 4.267 * [backup-simplify]: Simplify (sqrt (- (pow (/ 1 (- x)) 4) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) 4.267 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in (x y) around 0 4.267 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in y 4.267 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 4.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.267 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.267 * [taylor]: Taking taylor expansion of x in y 4.267 * [backup-simplify]: Simplify x into x 4.267 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.267 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.267 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.267 * [taylor]: Taking taylor expansion of y in y 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify (* 1 1) into 1 4.268 * [backup-simplify]: Simplify (/ 1 1) into 1 4.268 * [backup-simplify]: Simplify (- 1) into -1 4.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.269 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.270 * [backup-simplify]: Simplify (- 0) into 0 4.271 * [backup-simplify]: Simplify (+ 0 0) into 0 4.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.271 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 4.271 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.271 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.271 * [taylor]: Taking taylor expansion of x in x 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (* 1 1) into 1 4.272 * [backup-simplify]: Simplify (* 1 1) into 1 4.272 * [backup-simplify]: Simplify (/ 1 1) into 1 4.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.272 * [taylor]: Taking taylor expansion of y in x 4.272 * [backup-simplify]: Simplify y into y 4.273 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.273 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.273 * [backup-simplify]: Simplify (+ 1 0) into 1 4.273 * [backup-simplify]: Simplify (sqrt 1) into 1 4.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.275 * [backup-simplify]: Simplify (+ 0 0) into 0 4.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.276 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 4.276 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.276 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.276 * [taylor]: Taking taylor expansion of x in x 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [backup-simplify]: Simplify (* 1 1) into 1 4.277 * [backup-simplify]: Simplify (* 1 1) into 1 4.277 * [backup-simplify]: Simplify (/ 1 1) into 1 4.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.277 * [taylor]: Taking taylor expansion of y in x 4.277 * [backup-simplify]: Simplify y into y 4.277 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.278 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.278 * [backup-simplify]: Simplify (+ 1 0) into 1 4.278 * [backup-simplify]: Simplify (sqrt 1) into 1 4.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (+ 0 0) into 0 4.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.281 * [taylor]: Taking taylor expansion of 1 in y 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [taylor]: Taking taylor expansion of 0 in y 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (+ 0 0) into 0 4.284 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 4.284 * [taylor]: Taking taylor expansion of 0 in y 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (+ 0 0) into 0 4.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 4.288 * [taylor]: Taking taylor expansion of 0 in y 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.291 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.291 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 4.292 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 2)) 4.292 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 4.293 * [taylor]: Taking taylor expansion of -1/2 in y 4.293 * [backup-simplify]: Simplify -1/2 into -1/2 4.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.293 * [taylor]: Taking taylor expansion of y in y 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (* 1 1) into 1 4.293 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 4.295 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 4.295 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.295 * [backup-simplify]: Simplify (- (pow x 4) (* y y)) into (- (pow x 4) (pow y 2)) 4.295 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 4.295 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 4.295 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.295 * [taylor]: Taking taylor expansion of x in y 4.295 * [backup-simplify]: Simplify x into x 4.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.295 * [taylor]: Taking taylor expansion of y in y 4.295 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 4.296 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.296 * [taylor]: Taking taylor expansion of x in x 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.296 * [taylor]: Taking taylor expansion of y in x 4.296 * [backup-simplify]: Simplify y into y 4.296 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 4.296 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.296 * [taylor]: Taking taylor expansion of x in x 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.296 * [taylor]: Taking taylor expansion of y in x 4.296 * [backup-simplify]: Simplify y into y 4.296 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.296 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 4.296 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 4.296 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 4.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.296 * [taylor]: Taking taylor expansion of y in y 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.297 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.297 * [backup-simplify]: Simplify (- 0) into 0 4.297 * [backup-simplify]: Simplify (+ 0 0) into 0 4.297 * [taylor]: Taking taylor expansion of 0 in y 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.298 * [backup-simplify]: Simplify (- 0) into 0 4.299 * [backup-simplify]: Simplify (+ 0 0) into 0 4.299 * [taylor]: Taking taylor expansion of 0 in y 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify (* 1 1) into 1 4.299 * [backup-simplify]: Simplify (- 1) into -1 4.299 * [backup-simplify]: Simplify -1 into -1 4.300 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.300 * [backup-simplify]: Simplify (- 0) into 0 4.301 * [backup-simplify]: Simplify (+ 0 0) into 0 4.301 * [taylor]: Taking taylor expansion of 0 in y 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.302 * [backup-simplify]: Simplify (- 0) into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify (* 1 1) into 1 4.302 * [backup-simplify]: Simplify (* 1 1) into 1 4.303 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.304 * [backup-simplify]: Simplify (- 0) into 0 4.304 * [backup-simplify]: Simplify (+ 1 0) into 1 4.304 * [taylor]: Taking taylor expansion of 1 in y 4.304 * [backup-simplify]: Simplify 1 into 1 4.304 * [backup-simplify]: Simplify 1 into 1 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.305 * [backup-simplify]: Simplify (- 0) into 0 4.305 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.308 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 4.309 * [backup-simplify]: Simplify (- 0) into 0 4.309 * [backup-simplify]: Simplify (+ 0 0) into 0 4.309 * [taylor]: Taking taylor expansion of 0 in y 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 4)) (* -1 (pow (* y 1) 2))) into (- (pow x 4) (pow y 2)) 4.310 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 4.310 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 4.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 4.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.310 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.310 * [taylor]: Taking taylor expansion of x in y 4.310 * [backup-simplify]: Simplify x into x 4.310 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.310 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.310 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.310 * [taylor]: Taking taylor expansion of y in y 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.311 * [backup-simplify]: Simplify (* 1 1) into 1 4.311 * [backup-simplify]: Simplify (/ 1 1) into 1 4.311 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.311 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.311 * [taylor]: Taking taylor expansion of x in x 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [backup-simplify]: Simplify (* 1 1) into 1 4.312 * [backup-simplify]: Simplify (* 1 1) into 1 4.312 * [backup-simplify]: Simplify (/ 1 1) into 1 4.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.312 * [taylor]: Taking taylor expansion of y in x 4.312 * [backup-simplify]: Simplify y into y 4.312 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.312 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.312 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.312 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.313 * [taylor]: Taking taylor expansion of x in x 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [backup-simplify]: Simplify (* 1 1) into 1 4.313 * [backup-simplify]: Simplify (* 1 1) into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.314 * [taylor]: Taking taylor expansion of y in x 4.314 * [backup-simplify]: Simplify y into y 4.314 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.314 * [backup-simplify]: Simplify (+ 1 0) into 1 4.314 * [taylor]: Taking taylor expansion of 1 in y 4.314 * [backup-simplify]: Simplify 1 into 1 4.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (+ 0 0) into 0 4.316 * [taylor]: Taking taylor expansion of 0 in y 4.316 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.322 * [backup-simplify]: Simplify (+ 0 0) into 0 4.322 * [taylor]: Taking taylor expansion of 0 in y 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 1 into 1 4.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.325 * [backup-simplify]: Simplify (+ 0 0) into 0 4.325 * [taylor]: Taking taylor expansion of 0 in y 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.328 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.328 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 4.328 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.328 * [taylor]: Taking taylor expansion of y in y 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.328 * [backup-simplify]: Simplify (* 1 1) into 1 4.328 * [backup-simplify]: Simplify (/ 1 1) into 1 4.329 * [backup-simplify]: Simplify (- 1) into -1 4.329 * [backup-simplify]: Simplify -1 into -1 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.331 * [backup-simplify]: Simplify (- 0) into 0 4.332 * [backup-simplify]: Simplify (+ 0 0) into 0 4.332 * [taylor]: Taking taylor expansion of 0 in y 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (- 0) into 0 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4))) into (- (pow x 4) (pow y 2)) 4.333 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 4.333 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 4.333 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 4.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.333 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.333 * [taylor]: Taking taylor expansion of x in y 4.333 * [backup-simplify]: Simplify x into x 4.333 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.333 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.334 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.334 * [taylor]: Taking taylor expansion of y in y 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [backup-simplify]: Simplify (* 1 1) into 1 4.334 * [backup-simplify]: Simplify (/ 1 1) into 1 4.334 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.334 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.334 * [taylor]: Taking taylor expansion of x in x 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [backup-simplify]: Simplify (* 1 1) into 1 4.335 * [backup-simplify]: Simplify (* 1 1) into 1 4.335 * [backup-simplify]: Simplify (/ 1 1) into 1 4.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.335 * [taylor]: Taking taylor expansion of y in x 4.335 * [backup-simplify]: Simplify y into y 4.335 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.335 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.335 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 4.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.335 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.335 * [taylor]: Taking taylor expansion of x in x 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [backup-simplify]: Simplify (* 1 1) into 1 4.336 * [backup-simplify]: Simplify (* 1 1) into 1 4.336 * [backup-simplify]: Simplify (/ 1 1) into 1 4.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.336 * [taylor]: Taking taylor expansion of y in x 4.336 * [backup-simplify]: Simplify y into y 4.336 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.336 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.336 * [backup-simplify]: Simplify (+ 1 0) into 1 4.336 * [taylor]: Taking taylor expansion of 1 in y 4.336 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.338 * [backup-simplify]: Simplify (+ 0 0) into 0 4.338 * [taylor]: Taking taylor expansion of 0 in y 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.340 * [backup-simplify]: Simplify (+ 0 0) into 0 4.340 * [taylor]: Taking taylor expansion of 0 in y 4.340 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify 1 into 1 4.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (+ 0 0) into 0 4.343 * [taylor]: Taking taylor expansion of 0 in y 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.346 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.346 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 4.346 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.346 * [taylor]: Taking taylor expansion of y in y 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (* 1 1) into 1 4.346 * [backup-simplify]: Simplify (/ 1 1) into 1 4.347 * [backup-simplify]: Simplify (- 1) into -1 4.347 * [backup-simplify]: Simplify -1 into -1 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.349 * [backup-simplify]: Simplify (- 0) into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.349 * [taylor]: Taking taylor expansion of 0 in y 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.351 * [backup-simplify]: Simplify (- 0) into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4))) into (- (pow x 4) (pow y 2)) 4.351 * * * [progress]: simplifying candidates 4.353 * [simplify]: Simplifying: (- (log (sqrt (- (pow x 4) (* y y)))) (log (sqrt (- (* x x) y)))) (log (/ (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)))) (exp (/ (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)))) (/ (* (* (sqrt (- (pow x 4) (* y y))) (sqrt (- (pow x 4) (* y y)))) (sqrt (- (pow x 4) (* y y)))) (* (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y)))) (* (cbrt (/ (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)))) (cbrt (/ (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y))))) (cbrt (/ (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x 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(pow x 4) (* y y)) (+ (pow (sqrt x) 4) y) (- (pow (sqrt x) 4) y) (+ (sqrt (pow x 4)) y) (- (sqrt (pow x 4)) y) (+ (pow x (/ 4 2)) y) (- (pow x (/ 4 2)) y) (- (* y y)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (- x (* 1/2 (/ y x))) (- (* 1/2 (/ y x)) x) (* y (sqrt -1)) (pow x 2) (pow x 2) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) 4.359 * * [simplify]: Extracting # 0 : cost 0 4.359 * * [simplify]: Extracting # 1 : cost 0 4.360 * * [simplify]: Extracting # 2 : cost 0 4.360 * * [simplify]: Extracting # 3 : cost 0 4.360 * * [simplify]: Extracting # 4 : cost 0 4.360 * * [simplify]: Extracting # 5 : cost 0 4.361 * * [simplify]: Extracting # 6 : cost 0 4.361 * * [simplify]: Extracting # 7 : cost 0 4.361 * * [simplify]: Extracting # 8 : cost 0 4.361 * * [simplify]: Extracting # 9 : cost 0 4.362 * * [simplify]: Extracting # 10 : cost 0 4.362 * * [simplify]: iteration 0 : 227 enodes (cost 3392 ) 4.411 * * [simplify]: Extracting # 0 : cost 0 4.411 * * [simplify]: Extracting # 1 : cost 0 4.412 * * [simplify]: Extracting # 2 : cost 0 4.412 * * [simplify]: Extracting # 3 : cost 0 4.412 * * [simplify]: Extracting # 4 : cost 0 4.413 * * [simplify]: Extracting # 5 : cost 0 4.413 * * [simplify]: iteration 1 : 423 enodes (cost 3054 ) 4.627 * * [simplify]: Extracting # 0 : cost 0 4.630 * * [simplify]: Extracting # 1 : cost 0 4.633 * * [simplify]: Extracting # 2 : cost 0 4.636 * * [simplify]: Extracting # 3 : cost 0 4.640 * * [simplify]: Extracting # 4 : cost 0 4.643 * * [simplify]: iteration 2 : 1824 enodes (cost 2970 ) 5.333 * * [simplify]: Extracting # 0 : cost 0 5.342 * * [simplify]: Extracting # 1 : cost 0 5.352 * * [simplify]: Extracting # 2 : cost 0 5.361 * * [simplify]: Extracting # 3 : cost 0 5.370 * * [simplify]: iteration done: 5000 enodes (cost 2949 ) 5.372 * [simplify]: Simplified to: (log 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y) (- (* x x) y) (- (* y y)) (+ (* +nan.0 (- (* y y) y)) (- (* +nan.0 (pow x 2)))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* +nan.0 (- (* y y) y)) (- (* +nan.0 (pow x 2)))) (- x (* 1/2 (/ y x))) (- (* 1/2 (/ y x)) x) (* y (sqrt -1)) (* x x) (* x x) (- (pow x 4) (* y y)) (- (pow x 4) (* y y)) (- (pow x 4) (* y y)) 5.374 * * * [progress]: adding candidates to table 5.922 * [progress]: [Phase 3 of 3] Extracting. 5.922 * * [regime]: Finding splitpoints for: (# # # #) 5.922 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 5.922 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 5.952 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 5.976 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 6.005 * * * * [regimes]: Trying to branch on y from (# # # #) 6.050 * * * * [regimes]: Trying to branch on x from (# # # #) 6.086 * * * [regime]: Found split indices: #