54.007 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: Extracting # 3 : cost 0 0.038 * * [simplify]: Extracting # 4 : cost 0 0.038 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: iteration done: 6 enodes (cost 7 ) 0.041 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.062 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.062 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [backup-simplify]: Simplify x into x 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.063 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (* 1 1) into 1 0.065 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.065 * [backup-simplify]: Simplify (+ 1 0) into 1 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.071 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.071 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [backup-simplify]: Simplify x into x 0.071 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.071 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (* 1 1) into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.073 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 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 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.074 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.074 * [backup-simplify]: Simplify (+ 1 0) into 1 0.074 * [taylor]: Taking taylor expansion of 1 in y 0.074 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.086 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.086 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [backup-simplify]: Simplify x into x 0.087 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.087 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 1) into 1 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 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 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.090 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [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 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.102 * * * [progress]: simplifying candidates 0.103 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.103 * * [simplify]: Extracting # 0 : cost 0 0.103 * * [simplify]: Extracting # 1 : cost 0 0.103 * * [simplify]: Extracting # 2 : cost 0 0.103 * * [simplify]: Extracting # 3 : cost 0 0.103 * * [simplify]: Extracting # 4 : cost 0 0.103 * * [simplify]: Extracting # 5 : cost 0 0.103 * * [simplify]: Extracting # 6 : cost 0 0.104 * * [simplify]: iteration 0 : 30 enodes (cost 166 ) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.114 * * [simplify]: Extracting # 1 : cost 0 0.114 * * [simplify]: Extracting # 2 : cost 0 0.115 * * [simplify]: Extracting # 3 : cost 0 0.115 * * [simplify]: Extracting # 4 : cost 0 0.115 * * [simplify]: iteration 1 : 100 enodes (cost 161 ) 0.175 * * [simplify]: Extracting # 0 : cost 0 0.175 * * [simplify]: Extracting # 1 : cost 0 0.175 * * [simplify]: Extracting # 2 : cost 0 0.176 * * [simplify]: Extracting # 3 : cost 0 0.176 * * [simplify]: Extracting # 4 : cost 0 0.176 * * [simplify]: iteration 2 : 291 enodes (cost 131 ) 0.287 * * [simplify]: Extracting # 0 : cost 0 0.288 * * [simplify]: Extracting # 1 : cost 0 0.289 * * [simplify]: Extracting # 2 : cost 0 0.289 * * [simplify]: Extracting # 3 : cost 0 0.290 * * [simplify]: iteration 3 : 694 enodes (cost 131 ) 0.709 * * [simplify]: Extracting # 0 : cost 0 0.712 * * [simplify]: Extracting # 1 : cost 0 0.715 * * [simplify]: Extracting # 2 : cost 0 0.717 * * [simplify]: Extracting # 3 : cost 0 0.720 * * [simplify]: Extracting # 4 : cost 0 0.723 * * [simplify]: iteration 4 : 1837 enodes (cost 131 ) 1.683 * * [simplify]: Extracting # 0 : cost 0 1.689 * * [simplify]: Extracting # 1 : cost 0 1.695 * * [simplify]: Extracting # 2 : cost 0 1.705 * * [simplify]: Extracting # 3 : cost 0 1.710 * * [simplify]: Extracting # 4 : cost 0 1.716 * * [simplify]: iteration done: 5000 enodes (cost 131 ) 1.716 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 1.716 * * * [progress]: adding candidates to table 1.738 * * [progress]: iteration 2 / 4 1.738 * * * [progress]: picking best candidate 1.741 * * * * [pick]: Picked # 1.741 * * * [progress]: localizing error 1.749 * * * [progress]: generating rewritten candidates 1.749 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.761 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.769 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.832 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.851 * * * [progress]: generating series expansions 1.851 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.851 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.851 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.851 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.851 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.851 * [taylor]: Taking taylor expansion of x in y 1.851 * [backup-simplify]: Simplify x into x 1.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.851 * [taylor]: Taking taylor expansion of y in y 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.851 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.851 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.852 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.852 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.852 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.852 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.852 * [taylor]: Taking taylor expansion of x in x 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.853 * [taylor]: Taking taylor expansion of y in x 1.853 * [backup-simplify]: Simplify y into y 1.853 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.853 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.853 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.853 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.853 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.853 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.854 * [taylor]: Taking taylor expansion of y in x 1.854 * [backup-simplify]: Simplify y into y 1.854 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.854 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.854 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.854 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.855 * [taylor]: Taking taylor expansion of y in y 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [taylor]: Taking taylor expansion of 0 in y 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (* 1 1) into 1 1.856 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.856 * [backup-simplify]: Simplify (+ 1 0) into 1 1.857 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.857 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.857 * [taylor]: Taking taylor expansion of 1/2 in y 1.857 * [backup-simplify]: Simplify 1/2 into 1/2 1.857 * [taylor]: Taking taylor expansion of y in y 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.859 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.859 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.860 * [taylor]: Taking taylor expansion of 0 in y 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.861 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.861 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.861 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.861 * [taylor]: Taking taylor expansion of x in y 1.861 * [backup-simplify]: Simplify x into x 1.861 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.861 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.861 * [taylor]: Taking taylor expansion of y in y 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (* 1 1) into 1 1.862 * [backup-simplify]: Simplify (/ 1 1) into 1 1.862 * [backup-simplify]: Simplify (+ 0 1) into 1 1.863 * [backup-simplify]: Simplify (sqrt 1) into 1 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (* 1 1) into 1 1.866 * [backup-simplify]: Simplify (/ 1 1) into 1 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.866 * [taylor]: Taking taylor expansion of y in x 1.866 * [backup-simplify]: Simplify y into y 1.866 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.866 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.866 * [backup-simplify]: Simplify (+ 1 0) into 1 1.866 * [backup-simplify]: Simplify (sqrt 1) into 1 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.869 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.869 * [taylor]: Taking taylor expansion of x in x 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 1 into 1 1.869 * [backup-simplify]: Simplify (* 1 1) into 1 1.869 * [backup-simplify]: Simplify (/ 1 1) into 1 1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.869 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.869 * [taylor]: Taking taylor expansion of y in x 1.869 * [backup-simplify]: Simplify y into y 1.870 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.870 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.870 * [backup-simplify]: Simplify (+ 1 0) into 1 1.870 * [backup-simplify]: Simplify (sqrt 1) into 1 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.872 * [taylor]: Taking taylor expansion of 1 in y 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [taylor]: Taking taylor expansion of 0 in y 1.872 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.875 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.875 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.875 * [taylor]: Taking taylor expansion of 1/2 in y 1.875 * [backup-simplify]: Simplify 1/2 into 1/2 1.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.875 * [taylor]: Taking taylor expansion of y in y 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (* 1 1) into 1 1.876 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.880 * [backup-simplify]: Simplify (+ 0 0) into 0 1.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.880 * [taylor]: Taking taylor expansion of 0 in y 1.880 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.883 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.883 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.883 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.883 * [taylor]: Taking taylor expansion of x in y 1.883 * [backup-simplify]: Simplify x into x 1.883 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.883 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.883 * [taylor]: Taking taylor expansion of y in y 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (* 1 1) into 1 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [backup-simplify]: Simplify (+ 0 1) into 1 1.884 * [backup-simplify]: Simplify (sqrt 1) into 1 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (* 1 1) into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.887 * [taylor]: Taking taylor expansion of y in x 1.887 * [backup-simplify]: Simplify y into y 1.887 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.887 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.888 * [backup-simplify]: Simplify (+ 1 0) into 1 1.888 * [backup-simplify]: Simplify (sqrt 1) into 1 1.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (* 1 1) into 1 1.891 * [backup-simplify]: Simplify (/ 1 1) into 1 1.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.891 * [taylor]: Taking taylor expansion of y in x 1.891 * [backup-simplify]: Simplify y into y 1.891 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.891 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.892 * [backup-simplify]: Simplify (+ 1 0) into 1 1.892 * [backup-simplify]: Simplify (sqrt 1) into 1 1.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (+ 0 0) into 0 1.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.894 * [taylor]: Taking taylor expansion of 1 in y 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [taylor]: Taking taylor expansion of 0 in y 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.897 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.897 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.897 * [taylor]: Taking taylor expansion of 1/2 in y 1.897 * [backup-simplify]: Simplify 1/2 into 1/2 1.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.897 * [taylor]: Taking taylor expansion of y in y 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.898 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.902 * [taylor]: Taking taylor expansion of 0 in y 1.902 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.904 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.904 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.904 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.904 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.904 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.904 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.904 * [taylor]: Taking taylor expansion of x in y 1.904 * [backup-simplify]: Simplify x into x 1.904 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.904 * [taylor]: Taking taylor expansion of y in y 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.904 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.904 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.904 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.905 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.905 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.905 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.905 * [taylor]: Taking taylor expansion of x in x 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.905 * [taylor]: Taking taylor expansion of y in x 1.905 * [backup-simplify]: Simplify y into y 1.905 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.905 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.905 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.906 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.906 * [backup-simplify]: Simplify (+ 0 0) into 0 1.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.906 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.906 * [taylor]: Taking taylor expansion of y in x 1.906 * [backup-simplify]: Simplify y into y 1.906 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.906 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.907 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.907 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.907 * [taylor]: Taking taylor expansion of y in y 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [taylor]: Taking taylor expansion of 0 in y 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (* 1 1) into 1 1.908 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.908 * [backup-simplify]: Simplify (+ 1 0) into 1 1.909 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.909 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.909 * [taylor]: Taking taylor expansion of 1/2 in y 1.909 * [backup-simplify]: Simplify 1/2 into 1/2 1.909 * [taylor]: Taking taylor expansion of y in y 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.910 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.912 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.912 * [taylor]: Taking taylor expansion of 0 in y 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.913 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.913 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.914 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.914 * [taylor]: Taking taylor expansion of x in y 1.914 * [backup-simplify]: Simplify x into x 1.914 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.914 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.914 * [taylor]: Taking taylor expansion of y in y 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (* 1 1) into 1 1.914 * [backup-simplify]: Simplify (/ 1 1) into 1 1.915 * [backup-simplify]: Simplify (+ 0 1) into 1 1.915 * [backup-simplify]: Simplify (sqrt 1) into 1 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.917 * [taylor]: Taking taylor expansion of x in x 1.917 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.918 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.918 * [taylor]: Taking taylor expansion of y in x 1.918 * [backup-simplify]: Simplify y into y 1.918 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.918 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.919 * [backup-simplify]: Simplify (+ 1 0) into 1 1.919 * [backup-simplify]: Simplify (sqrt 1) into 1 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (* 1 1) into 1 1.922 * [backup-simplify]: Simplify (/ 1 1) into 1 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.922 * [taylor]: Taking taylor expansion of y in x 1.922 * [backup-simplify]: Simplify y into y 1.922 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.922 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.923 * [backup-simplify]: Simplify (+ 1 0) into 1 1.923 * [backup-simplify]: Simplify (sqrt 1) into 1 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.925 * [taylor]: Taking taylor expansion of 1 in y 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [taylor]: Taking taylor expansion of 0 in y 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.928 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.928 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.928 * [taylor]: Taking taylor expansion of 1/2 in y 1.928 * [backup-simplify]: Simplify 1/2 into 1/2 1.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.928 * [taylor]: Taking taylor expansion of y in y 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.933 * [taylor]: Taking taylor expansion of 0 in y 1.933 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.935 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.935 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.935 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.935 * [taylor]: Taking taylor expansion of x in y 1.935 * [backup-simplify]: Simplify x into x 1.935 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.935 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.935 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.935 * [taylor]: Taking taylor expansion of y in y 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [backup-simplify]: Simplify (+ 0 1) into 1 1.937 * [backup-simplify]: Simplify (sqrt 1) into 1 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.938 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.939 * [taylor]: Taking taylor expansion of y in x 1.939 * [backup-simplify]: Simplify y into y 1.939 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.939 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.939 * [backup-simplify]: Simplify (+ 1 0) into 1 1.940 * [backup-simplify]: Simplify (sqrt 1) into 1 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.941 * [taylor]: Taking taylor expansion of x in x 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (* 1 1) into 1 1.942 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.942 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.942 * [taylor]: Taking taylor expansion of y in x 1.942 * [backup-simplify]: Simplify y into y 1.942 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.942 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.942 * [backup-simplify]: Simplify (+ 1 0) into 1 1.943 * [backup-simplify]: Simplify (sqrt 1) into 1 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.944 * [taylor]: Taking taylor expansion of 1 in y 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [taylor]: Taking taylor expansion of 0 in y 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.946 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.946 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.946 * [taylor]: Taking taylor expansion of 1/2 in y 1.946 * [backup-simplify]: Simplify 1/2 into 1/2 1.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.946 * [taylor]: Taking taylor expansion of y in y 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.950 * [taylor]: Taking taylor expansion of 0 in y 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.952 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.952 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2)) 1.952 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.952 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.952 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.952 * [taylor]: Taking taylor expansion of x in y 1.952 * [backup-simplify]: Simplify x into x 1.952 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.952 * [taylor]: Taking taylor expansion of y in y 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 1 into 1 1.952 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.952 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [backup-simplify]: Simplify y into y 1.953 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [backup-simplify]: Simplify y into y 1.953 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.953 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.953 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.953 * [taylor]: Taking taylor expansion of y in y 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [taylor]: Taking taylor expansion of 0 in y 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (* 1 1) into 1 1.958 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.958 * [backup-simplify]: Simplify (+ 1 0) into 1 1.958 * [taylor]: Taking taylor expansion of 1 in y 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (* 1 1) into 1 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.960 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [taylor]: Taking taylor expansion of 0 in y 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.963 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [taylor]: Taking taylor expansion of 0 in y 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.964 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.964 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.964 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.964 * [taylor]: Taking taylor expansion of x in y 1.964 * [backup-simplify]: Simplify x into x 1.964 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.964 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.964 * [taylor]: Taking taylor expansion of y in y 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (* 1 1) into 1 1.965 * [backup-simplify]: Simplify (/ 1 1) into 1 1.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (* 1 1) into 1 1.966 * [backup-simplify]: Simplify (/ 1 1) into 1 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.966 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.966 * [taylor]: Taking taylor expansion of y in x 1.966 * [backup-simplify]: Simplify y into y 1.966 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.966 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* 1 1) into 1 1.967 * [backup-simplify]: Simplify (/ 1 1) into 1 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.967 * [taylor]: Taking taylor expansion of y in x 1.967 * [backup-simplify]: Simplify y into y 1.967 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.967 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.967 * [backup-simplify]: Simplify (+ 1 0) into 1 1.967 * [taylor]: Taking taylor expansion of 1 in y 1.967 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [taylor]: Taking taylor expansion of 0 in y 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.971 * [taylor]: Taking taylor expansion of y in y 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (* 1 1) into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [taylor]: Taking taylor expansion of 0 in y 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [taylor]: Taking taylor expansion of 0 in y 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.980 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.980 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.980 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.980 * [taylor]: Taking taylor expansion of x in y 1.980 * [backup-simplify]: Simplify x into x 1.980 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.981 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.981 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.981 * [taylor]: Taking taylor expansion of y in y 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (* 1 1) into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.981 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (* 1 1) into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.982 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.982 * [taylor]: Taking taylor expansion of y in x 1.982 * [backup-simplify]: Simplify y into y 1.982 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.982 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.983 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.983 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.983 * [taylor]: Taking taylor expansion of y in x 1.983 * [backup-simplify]: Simplify y into y 1.983 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.984 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.984 * [backup-simplify]: Simplify (+ 1 0) into 1 1.984 * [taylor]: Taking taylor expansion of 1 in y 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [taylor]: Taking taylor expansion of 0 in y 1.985 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.987 * [taylor]: Taking taylor expansion of y in y 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (* 1 1) into 1 1.988 * [backup-simplify]: Simplify (/ 1 1) into 1 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [taylor]: Taking taylor expansion of 0 in y 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [taylor]: Taking taylor expansion of 0 in y 1.994 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.996 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.996 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 1.996 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.996 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.996 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.996 * [taylor]: Taking taylor expansion of x in y 1.996 * [backup-simplify]: Simplify x into x 1.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.996 * [taylor]: Taking taylor expansion of y in y 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.997 * [taylor]: Taking taylor expansion of y in x 1.997 * [backup-simplify]: Simplify y into y 1.997 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.997 * [taylor]: Taking taylor expansion of x in x 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.997 * [taylor]: Taking taylor expansion of y in x 1.997 * [backup-simplify]: Simplify y into y 1.997 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.997 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.997 * [taylor]: Taking taylor expansion of y in y 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.998 * [taylor]: Taking taylor expansion of 0 in y 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (* 1 1) into 1 1.998 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.999 * [backup-simplify]: Simplify (+ 1 0) into 1 1.999 * [taylor]: Taking taylor expansion of 1 in y 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.000 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [taylor]: Taking taylor expansion of 0 in y 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.003 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [taylor]: Taking taylor expansion of 0 in y 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 2.004 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.004 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.004 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.004 * [taylor]: Taking taylor expansion of x in y 2.004 * [backup-simplify]: Simplify x into x 2.004 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.004 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.004 * [taylor]: Taking taylor expansion of y in y 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (* 1 1) into 1 2.005 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (/ 1 1) into 1 2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.006 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.006 * [taylor]: Taking taylor expansion of y in x 2.006 * [backup-simplify]: Simplify y into y 2.006 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.006 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.007 * [backup-simplify]: Simplify (/ 1 1) into 1 2.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.007 * [taylor]: Taking taylor expansion of y in x 2.007 * [backup-simplify]: Simplify y into y 2.007 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.007 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.008 * [backup-simplify]: Simplify (+ 1 0) into 1 2.008 * [taylor]: Taking taylor expansion of 1 in y 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [taylor]: Taking taylor expansion of 0 in y 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.011 * [taylor]: Taking taylor expansion of y in y 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (* 1 1) into 1 2.011 * [backup-simplify]: Simplify (/ 1 1) into 1 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.014 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [taylor]: Taking taylor expansion of 0 in y 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.018 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [taylor]: Taking taylor expansion of 0 in y 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.020 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.020 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.020 * [taylor]: Taking taylor expansion of x in y 2.020 * [backup-simplify]: Simplify x into x 2.020 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.020 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.020 * [taylor]: Taking taylor expansion of y in y 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (/ 1 1) into 1 2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (* 1 1) into 1 2.022 * [backup-simplify]: Simplify (/ 1 1) into 1 2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.022 * [taylor]: Taking taylor expansion of y in x 2.022 * [backup-simplify]: Simplify y into y 2.022 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.022 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (* 1 1) into 1 2.023 * [backup-simplify]: Simplify (/ 1 1) into 1 2.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.023 * [taylor]: Taking taylor expansion of y in x 2.023 * [backup-simplify]: Simplify y into y 2.023 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.023 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.024 * [backup-simplify]: Simplify (+ 1 0) into 1 2.024 * [taylor]: Taking taylor expansion of 1 in y 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [taylor]: Taking taylor expansion of 0 in y 2.025 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.027 * [taylor]: Taking taylor expansion of y in y 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (* 1 1) into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [taylor]: Taking taylor expansion of 0 in y 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.033 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [taylor]: Taking taylor expansion of 0 in y 2.033 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.035 * * * [progress]: simplifying candidates 2.036 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.038 * * [simplify]: Extracting # 0 : cost 0 2.038 * * [simplify]: Extracting # 1 : cost 0 2.039 * * [simplify]: Extracting # 2 : cost 0 2.039 * * [simplify]: Extracting # 3 : cost 0 2.039 * * [simplify]: Extracting # 4 : cost 0 2.039 * * [simplify]: Extracting # 5 : cost 0 2.039 * * [simplify]: Extracting # 6 : cost 0 2.039 * * [simplify]: iteration 0 : 92 enodes (cost 1982 ) 2.067 * * [simplify]: Extracting # 0 : cost 0 2.068 * * [simplify]: Extracting # 1 : cost 0 2.068 * * [simplify]: Extracting # 2 : cost 0 2.068 * * [simplify]: Extracting # 3 : cost 0 2.068 * * [simplify]: Extracting # 4 : cost 0 2.069 * * [simplify]: Extracting # 5 : cost 0 2.069 * * [simplify]: iteration 1 : 191 enodes (cost 1397 ) 2.126 * * [simplify]: Extracting # 0 : cost 0 2.126 * * [simplify]: Extracting # 1 : cost 0 2.127 * * [simplify]: Extracting # 2 : cost 0 2.128 * * [simplify]: Extracting # 3 : cost 0 2.128 * * [simplify]: Extracting # 4 : cost 0 2.132 * * [simplify]: Extracting # 5 : cost 0 2.132 * * [simplify]: iteration 2 : 550 enodes (cost 1177 ) 2.535 * * [simplify]: Extracting # 0 : cost 0 2.537 * * [simplify]: Extracting # 1 : cost 0 2.540 * * [simplify]: Extracting # 2 : cost 0 2.542 * * [simplify]: Extracting # 3 : cost 0 2.544 * * [simplify]: Extracting # 4 : cost 0 2.545 * * [simplify]: iteration 3 : 1718 enodes (cost 1138 ) 3.758 * * [simplify]: Extracting # 0 : cost 0 3.763 * * [simplify]: Extracting # 1 : cost 0 3.769 * * [simplify]: Extracting # 2 : cost 0 3.777 * * [simplify]: Extracting # 3 : cost 0 3.782 * * [simplify]: Extracting # 4 : cost 0 3.786 * * [simplify]: Extracting # 5 : cost 0 3.792 * * [simplify]: iteration done: 5001 enodes (cost 1110 ) 3.793 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ y x) (- x y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ y x) (- x y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 1 2 1 1 (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (log (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (pow (sqrt (+ (* x x) (* y y))) 4) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (- (pow x 4) (pow y 4)) (* (+ y x) (- x y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (* (+ y x) (- x y)) y x (- x) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 3.794 * * * [progress]: adding candidates to table 4.032 * * [progress]: iteration 3 / 4 4.032 * * * [progress]: picking best candidate 4.035 * * * * [pick]: Picked # 4.035 * * * [progress]: localizing error 4.066 * * * [progress]: generating rewritten candidates 4.067 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.173 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.278 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.291 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 4.349 * * * [progress]: generating series expansions 4.349 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.350 * [backup-simplify]: Simplify (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) into (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) 4.350 * [approximate]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in (y x) around 0 4.350 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in x 4.350 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in x 4.350 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.350 * [taylor]: Taking taylor expansion of x in x 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify 1 into 1 4.351 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.351 * [taylor]: Taking taylor expansion of y in x 4.351 * [backup-simplify]: Simplify y into y 4.351 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 4.351 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 4.351 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.351 * [taylor]: Taking taylor expansion of y in x 4.351 * [backup-simplify]: Simplify y into y 4.351 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.351 * [taylor]: Taking taylor expansion of x in x 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 1 into 1 4.351 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.351 * [taylor]: Taking taylor expansion of x in x 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 1 into 1 4.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.351 * [taylor]: Taking taylor expansion of y in x 4.351 * [backup-simplify]: Simplify y into y 4.351 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.351 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.351 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.351 * [backup-simplify]: Simplify (+ 0 (pow y 6)) into (pow y 6) 4.352 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.352 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.352 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 4.352 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 4.352 * [backup-simplify]: Simplify (/ (pow y 6) (pow y 4)) into (pow y 2) 4.352 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 4.352 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 4.352 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.352 * [taylor]: Taking taylor expansion of x in y 4.352 * [backup-simplify]: Simplify x into x 4.352 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.352 * [taylor]: Taking taylor expansion of y in y 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 4.352 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 4.352 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.352 * [taylor]: Taking taylor expansion of y in y 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.353 * [taylor]: Taking taylor expansion of x in y 4.353 * [backup-simplify]: Simplify x into x 4.353 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.353 * [taylor]: Taking taylor expansion of x in y 4.353 * [backup-simplify]: Simplify x into x 4.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.353 * [taylor]: Taking taylor expansion of y in y 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 1 into 1 4.353 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.353 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.353 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.353 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 4.353 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.353 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.354 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 4.354 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 4.354 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 4.354 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 4.354 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 4.354 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.354 * [taylor]: Taking taylor expansion of x in y 4.354 * [backup-simplify]: Simplify x into x 4.354 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.354 * [taylor]: Taking taylor expansion of y in y 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.354 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 4.354 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 4.354 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.354 * [taylor]: Taking taylor expansion of y in y 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.354 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.354 * [taylor]: Taking taylor expansion of x in y 4.354 * [backup-simplify]: Simplify x into x 4.354 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.354 * [taylor]: Taking taylor expansion of x in y 4.354 * [backup-simplify]: Simplify x into x 4.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.354 * [taylor]: Taking taylor expansion of y in y 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.355 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.355 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.355 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.355 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 4.355 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.355 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.355 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 4.355 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 4.356 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 4.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.356 * [taylor]: Taking taylor expansion of x in x 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify 1 into 1 4.356 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.356 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 4.356 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (* 0 (pow x 3))) into 0 4.357 * [backup-simplify]: Simplify (+ 0 0) into 0 4.357 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.357 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 4.358 * [backup-simplify]: Simplify (+ 0 0) into 0 4.358 * [backup-simplify]: Simplify (+ 0 0) into 0 4.358 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))))) into 0 4.358 * [taylor]: Taking taylor expansion of 0 in x 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.359 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 4.360 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (* 0 (pow x 3)))) into 0 4.360 * [backup-simplify]: Simplify (+ 0 0) into 0 4.360 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.361 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 4.361 * [backup-simplify]: Simplify (+ 0 0) into 0 4.361 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.361 * [backup-simplify]: Simplify (* 1 1) into 1 4.362 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.362 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 4.362 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 4.362 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ (- (pow x 2)) (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 1 4.362 * [taylor]: Taking taylor expansion of 1 in x 4.362 * [backup-simplify]: Simplify 1 into 1 4.362 * [backup-simplify]: Simplify 1 into 1 4.362 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify (* 1 1) into 1 4.363 * [backup-simplify]: Simplify 1 into 1 4.364 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.364 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 4.365 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 3))))) into 0 4.365 * [backup-simplify]: Simplify (+ 0 0) into 0 4.366 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.367 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 4.367 * [backup-simplify]: Simplify (+ 0 0) into 0 4.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.368 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.368 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.368 * [backup-simplify]: Simplify (- 0) into 0 4.369 * [backup-simplify]: Simplify (+ 0 0) into 0 4.369 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))) (* 0 (/ (- (pow x 2)) (pow x 4))) (* 1 (/ 0 (pow x 4))))) into 0 4.369 * [taylor]: Taking taylor expansion of 0 in x 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.370 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.372 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 4.373 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 3)))))) into 0 4.373 * [backup-simplify]: Simplify (+ 0 0) into 0 4.374 * [backup-simplify]: Simplify (* 1 1) into 1 4.374 * [backup-simplify]: Simplify (* 1 1) into 1 4.375 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.376 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 4.376 * [backup-simplify]: Simplify (+ 1 0) into 1 4.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.377 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.378 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 4.378 * [backup-simplify]: Simplify (- 0) into 0 4.378 * [backup-simplify]: Simplify (+ 1 0) into 1 4.379 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 1 (pow x 4))) (* 0 (/ 0 (pow x 4))) (* 1 (/ (- (pow x 2)) (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 4.379 * [taylor]: Taking taylor expansion of 0 in x 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow x 2) (pow y 2)) 4.380 * [backup-simplify]: Simplify (/ (+ (pow (/ 1 y) 6) (pow (/ 1 x) 6)) (+ (* (* (/ 1 y) (/ 1 y)) (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) (pow (/ 1 x) 4))) into (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) 4.380 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in (y x) around 0 4.380 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 4.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 4.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 4.380 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.380 * [taylor]: Taking taylor expansion of y in x 4.380 * [backup-simplify]: Simplify y into y 4.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.380 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.380 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.380 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 4.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 4.380 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.380 * [taylor]: Taking taylor expansion of x in x 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify 1 into 1 4.381 * [backup-simplify]: Simplify (* 1 1) into 1 4.381 * [backup-simplify]: Simplify (* 1 1) into 1 4.381 * [backup-simplify]: Simplify (* 1 1) into 1 4.381 * [backup-simplify]: Simplify (/ 1 1) into 1 4.381 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 4.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 4.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.381 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.381 * [taylor]: Taking taylor expansion of x in x 4.381 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 1 into 1 4.382 * [backup-simplify]: Simplify (* 1 1) into 1 4.382 * [backup-simplify]: Simplify (* 1 1) into 1 4.382 * [backup-simplify]: Simplify (/ 1 1) into 1 4.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 4.382 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.382 * [taylor]: Taking taylor expansion of y in x 4.382 * [backup-simplify]: Simplify y into y 4.382 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.382 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.383 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 4.383 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 4.383 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.383 * [taylor]: Taking taylor expansion of x in x 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 1 into 1 4.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.383 * [taylor]: Taking taylor expansion of y in x 4.383 * [backup-simplify]: Simplify y into y 4.383 * [backup-simplify]: Simplify (* 1 1) into 1 4.383 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.383 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.383 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.383 * [backup-simplify]: Simplify (+ 0 1) into 1 4.384 * [backup-simplify]: Simplify (+ 1 0) into 1 4.384 * [backup-simplify]: Simplify (+ 1 0) into 1 4.384 * [backup-simplify]: Simplify (/ 1 1) into 1 4.384 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.384 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.384 * [taylor]: Taking taylor expansion of y in y 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 1 into 1 4.385 * [backup-simplify]: Simplify (* 1 1) into 1 4.385 * [backup-simplify]: Simplify (* 1 1) into 1 4.385 * [backup-simplify]: Simplify (* 1 1) into 1 4.385 * [backup-simplify]: Simplify (/ 1 1) into 1 4.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.385 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.385 * [taylor]: Taking taylor expansion of x in y 4.385 * [backup-simplify]: Simplify x into x 4.385 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.386 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.386 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.386 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.386 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.386 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.386 * [taylor]: Taking taylor expansion of x in y 4.386 * [backup-simplify]: Simplify x into x 4.386 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.386 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.386 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.386 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.386 * [taylor]: Taking taylor expansion of y in y 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (* 1 1) into 1 4.389 * [backup-simplify]: Simplify (* 1 1) into 1 4.390 * [backup-simplify]: Simplify (/ 1 1) into 1 4.390 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.390 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.390 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.390 * [taylor]: Taking taylor expansion of x in y 4.390 * [backup-simplify]: Simplify x into x 4.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.390 * [taylor]: Taking taylor expansion of y in y 4.390 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify 1 into 1 4.390 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.390 * [backup-simplify]: Simplify (* 1 1) into 1 4.390 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.390 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.391 * [backup-simplify]: Simplify (+ 1 0) into 1 4.391 * [backup-simplify]: Simplify (+ 0 1) into 1 4.392 * [backup-simplify]: Simplify (+ 1 0) into 1 4.392 * [backup-simplify]: Simplify (/ 1 1) into 1 4.392 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.392 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.392 * [taylor]: Taking taylor expansion of y in y 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [backup-simplify]: Simplify (* 1 1) into 1 4.393 * [backup-simplify]: Simplify (* 1 1) into 1 4.393 * [backup-simplify]: Simplify (* 1 1) into 1 4.393 * [backup-simplify]: Simplify (/ 1 1) into 1 4.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.393 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.393 * [taylor]: Taking taylor expansion of x in y 4.393 * [backup-simplify]: Simplify x into x 4.393 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.394 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.394 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.394 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.394 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.394 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.394 * [taylor]: Taking taylor expansion of x in y 4.394 * [backup-simplify]: Simplify x into x 4.394 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.394 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.394 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.394 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.394 * [taylor]: Taking taylor expansion of y in y 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [backup-simplify]: Simplify (* 1 1) into 1 4.395 * [backup-simplify]: Simplify (* 1 1) into 1 4.395 * [backup-simplify]: Simplify (/ 1 1) into 1 4.396 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.396 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.396 * [taylor]: Taking taylor expansion of x in y 4.396 * [backup-simplify]: Simplify x into x 4.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.396 * [taylor]: Taking taylor expansion of y in y 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify 1 into 1 4.396 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.396 * [backup-simplify]: Simplify (* 1 1) into 1 4.396 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.396 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.397 * [backup-simplify]: Simplify (+ 1 0) into 1 4.397 * [backup-simplify]: Simplify (+ 0 1) into 1 4.397 * [backup-simplify]: Simplify (+ 1 0) into 1 4.398 * [backup-simplify]: Simplify (/ 1 1) into 1 4.398 * [taylor]: Taking taylor expansion of 1 in x 4.398 * [backup-simplify]: Simplify 1 into 1 4.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.400 * [backup-simplify]: Simplify (+ 0 0) into 0 4.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.402 * [backup-simplify]: Simplify (+ 0 0) into 0 4.403 * [backup-simplify]: Simplify (+ 0 0) into 0 4.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.403 * [taylor]: Taking taylor expansion of 0 in x 4.403 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.406 * [backup-simplify]: Simplify (+ 0 0) into 0 4.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.409 * [backup-simplify]: Simplify (+ 0 0) into 0 4.409 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.409 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 4.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.410 * [taylor]: Taking taylor expansion of x in x 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 1 into 1 4.411 * [backup-simplify]: Simplify (* 1 1) into 1 4.411 * [backup-simplify]: Simplify (/ 1 1) into 1 4.411 * [backup-simplify]: Simplify 1 into 1 4.411 * [backup-simplify]: Simplify 1 into 1 4.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.415 * [backup-simplify]: Simplify (+ 0 0) into 0 4.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.417 * [backup-simplify]: Simplify (+ 0 0) into 0 4.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.418 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.418 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.419 * [backup-simplify]: Simplify (- 0) into 0 4.419 * [backup-simplify]: Simplify (+ 0 0) into 0 4.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 4.421 * [taylor]: Taking taylor expansion of 0 in x 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.426 * [backup-simplify]: Simplify (+ 0 0) into 0 4.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.429 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 4.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.430 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.431 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 4.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.431 * [backup-simplify]: Simplify (- 0) into 0 4.432 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 4.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow x 4)) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow x 2)) (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into 0 4.434 * [taylor]: Taking taylor expansion of 0 in x 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.437 * [backup-simplify]: Simplify (/ (+ (pow (/ 1 (- y)) 6) (pow (/ 1 (- x)) 6)) (+ (* (* (/ 1 (- y)) (/ 1 (- y))) (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) (pow (/ 1 (- x)) 4))) into (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) 4.437 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in (y x) around 0 4.437 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 4.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 4.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 4.437 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.437 * [taylor]: Taking taylor expansion of y in x 4.438 * [backup-simplify]: Simplify y into y 4.438 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.438 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.438 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.438 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 4.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 4.438 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.438 * [taylor]: Taking taylor expansion of x in x 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.439 * [backup-simplify]: Simplify (* 1 1) into 1 4.439 * [backup-simplify]: Simplify (* 1 1) into 1 4.439 * [backup-simplify]: Simplify (* 1 1) into 1 4.440 * [backup-simplify]: Simplify (/ 1 1) into 1 4.440 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 4.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 4.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.440 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.440 * [taylor]: Taking taylor expansion of x in x 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 1 into 1 4.441 * [backup-simplify]: Simplify (* 1 1) into 1 4.442 * [backup-simplify]: Simplify (* 1 1) into 1 4.442 * [backup-simplify]: Simplify (/ 1 1) into 1 4.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 4.442 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.442 * [taylor]: Taking taylor expansion of y in x 4.442 * [backup-simplify]: Simplify y into y 4.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.443 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.443 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 4.443 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 4.443 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.443 * [taylor]: Taking taylor expansion of x in x 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 1 into 1 4.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.443 * [taylor]: Taking taylor expansion of y in x 4.443 * [backup-simplify]: Simplify y into y 4.443 * [backup-simplify]: Simplify (* 1 1) into 1 4.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.444 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.444 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.444 * [backup-simplify]: Simplify (+ 0 1) into 1 4.445 * [backup-simplify]: Simplify (+ 1 0) into 1 4.445 * [backup-simplify]: Simplify (+ 1 0) into 1 4.445 * [backup-simplify]: Simplify (/ 1 1) into 1 4.445 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.446 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.446 * [taylor]: Taking taylor expansion of y in y 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [backup-simplify]: Simplify (* 1 1) into 1 4.446 * [backup-simplify]: Simplify (* 1 1) into 1 4.447 * [backup-simplify]: Simplify (* 1 1) into 1 4.447 * [backup-simplify]: Simplify (/ 1 1) into 1 4.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.447 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.447 * [taylor]: Taking taylor expansion of x in y 4.447 * [backup-simplify]: Simplify x into x 4.447 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.447 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.448 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.448 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.448 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.448 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.448 * [taylor]: Taking taylor expansion of x in y 4.448 * [backup-simplify]: Simplify x into x 4.448 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.448 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.448 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.448 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.448 * [taylor]: Taking taylor expansion of y in y 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 1 into 1 4.449 * [backup-simplify]: Simplify (* 1 1) into 1 4.449 * [backup-simplify]: Simplify (* 1 1) into 1 4.450 * [backup-simplify]: Simplify (/ 1 1) into 1 4.450 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.450 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.450 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.450 * [taylor]: Taking taylor expansion of x in y 4.450 * [backup-simplify]: Simplify x into x 4.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.450 * [taylor]: Taking taylor expansion of y in y 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 1 into 1 4.450 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.450 * [backup-simplify]: Simplify (* 1 1) into 1 4.450 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.451 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.451 * [backup-simplify]: Simplify (+ 1 0) into 1 4.451 * [backup-simplify]: Simplify (+ 0 1) into 1 4.452 * [backup-simplify]: Simplify (+ 1 0) into 1 4.452 * [backup-simplify]: Simplify (/ 1 1) into 1 4.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.452 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.452 * [taylor]: Taking taylor expansion of y in y 4.452 * [backup-simplify]: Simplify 0 into 0 4.452 * [backup-simplify]: Simplify 1 into 1 4.453 * [backup-simplify]: Simplify (* 1 1) into 1 4.453 * [backup-simplify]: Simplify (* 1 1) into 1 4.453 * [backup-simplify]: Simplify (* 1 1) into 1 4.454 * [backup-simplify]: Simplify (/ 1 1) into 1 4.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.454 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.454 * [taylor]: Taking taylor expansion of x in y 4.454 * [backup-simplify]: Simplify x into x 4.454 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.454 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.454 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.454 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.454 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.454 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.454 * [taylor]: Taking taylor expansion of x in y 4.454 * [backup-simplify]: Simplify x into x 4.454 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.455 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.455 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.455 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.455 * [taylor]: Taking taylor expansion of y in y 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify 1 into 1 4.455 * [backup-simplify]: Simplify (* 1 1) into 1 4.456 * [backup-simplify]: Simplify (* 1 1) into 1 4.456 * [backup-simplify]: Simplify (/ 1 1) into 1 4.456 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.456 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.456 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.456 * [taylor]: Taking taylor expansion of x in y 4.456 * [backup-simplify]: Simplify x into x 4.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.456 * [taylor]: Taking taylor expansion of y in y 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.457 * [backup-simplify]: Simplify (* 1 1) into 1 4.457 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.457 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.457 * [backup-simplify]: Simplify (+ 1 0) into 1 4.458 * [backup-simplify]: Simplify (+ 0 1) into 1 4.458 * [backup-simplify]: Simplify (+ 1 0) into 1 4.458 * [backup-simplify]: Simplify (/ 1 1) into 1 4.459 * [taylor]: Taking taylor expansion of 1 in x 4.459 * [backup-simplify]: Simplify 1 into 1 4.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (+ 0 0) into 0 4.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.464 * [backup-simplify]: Simplify (+ 0 0) into 0 4.464 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.465 * [taylor]: Taking taylor expansion of 0 in x 4.465 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.469 * [backup-simplify]: Simplify (+ 0 0) into 0 4.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.472 * [backup-simplify]: Simplify (+ 0 0) into 0 4.472 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.472 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 4.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.473 * [taylor]: Taking taylor expansion of x in x 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (* 1 1) into 1 4.474 * [backup-simplify]: Simplify (/ 1 1) into 1 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify 1 into 1 4.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.478 * [backup-simplify]: Simplify (+ 0 0) into 0 4.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.481 * [backup-simplify]: Simplify (+ 0 0) into 0 4.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.482 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.482 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.483 * [backup-simplify]: Simplify (- 0) into 0 4.483 * [backup-simplify]: Simplify (+ 0 0) into 0 4.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 4.485 * [taylor]: Taking taylor expansion of 0 in x 4.485 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.491 * [backup-simplify]: Simplify (+ 0 0) into 0 4.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.494 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 4.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.496 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.496 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 4.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.497 * [backup-simplify]: Simplify (- 0) into 0 4.497 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 4.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow x 4)) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow x 2)) (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into 0 4.499 * [taylor]: Taking taylor expansion of 0 in x 4.499 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.502 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.503 * [backup-simplify]: Simplify (sqrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) into (sqrt (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))))) 4.503 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))))) in (y x) around 0 4.503 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))))) in x 4.503 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in x 4.503 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in x 4.503 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.503 * [taylor]: Taking taylor expansion of x in x 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.503 * [taylor]: Taking taylor expansion of y in x 4.503 * [backup-simplify]: Simplify y into y 4.503 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 4.503 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 4.504 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.504 * [taylor]: Taking taylor expansion of y in x 4.504 * [backup-simplify]: Simplify y into y 4.504 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.504 * [taylor]: Taking taylor expansion of x in x 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 1 into 1 4.504 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.504 * [taylor]: Taking taylor expansion of x in x 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 1 into 1 4.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.504 * [taylor]: Taking taylor expansion of y in x 4.504 * [backup-simplify]: Simplify y into y 4.504 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.504 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.504 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.504 * [backup-simplify]: Simplify (+ 0 (pow y 6)) into (pow y 6) 4.505 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.505 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.505 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 4.505 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 4.505 * [backup-simplify]: Simplify (/ (pow y 6) (pow y 4)) into (pow y 2) 4.505 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.505 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.505 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 4.506 * [backup-simplify]: Simplify (+ (* (pow y 3) 0) (* 0 (pow y 3))) into 0 4.506 * [backup-simplify]: Simplify (+ 0 0) into 0 4.506 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.506 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 4.506 * [backup-simplify]: Simplify (+ 0 0) into 0 4.507 * [backup-simplify]: Simplify (+ 0 0) into 0 4.507 * [backup-simplify]: Simplify (- (/ 0 (pow y 4)) (+ (* (pow y 2) (/ 0 (pow y 4))))) into 0 4.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.507 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))))) in y 4.507 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 4.507 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 4.507 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.507 * [taylor]: Taking taylor expansion of x in y 4.507 * [backup-simplify]: Simplify x into x 4.507 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.507 * [taylor]: Taking taylor expansion of y in y 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 4.507 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 4.507 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.507 * [taylor]: Taking taylor expansion of y in y 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.507 * [taylor]: Taking taylor expansion of x in y 4.507 * [backup-simplify]: Simplify x into x 4.507 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.507 * [taylor]: Taking taylor expansion of x in y 4.507 * [backup-simplify]: Simplify x into x 4.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.507 * [taylor]: Taking taylor expansion of y in y 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.508 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.508 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.508 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 4.508 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.508 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.508 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 4.508 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 4.508 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 4.508 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.508 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.508 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 4.509 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (* 0 (pow x 3))) into 0 4.509 * [backup-simplify]: Simplify (+ 0 0) into 0 4.509 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.509 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 4.509 * [backup-simplify]: Simplify (+ 0 0) into 0 4.510 * [backup-simplify]: Simplify (+ 0 0) into 0 4.510 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))))) into 0 4.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.510 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))))) in y 4.510 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 4.510 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 4.510 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.510 * [taylor]: Taking taylor expansion of x in y 4.510 * [backup-simplify]: Simplify x into x 4.510 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.510 * [taylor]: Taking taylor expansion of y in y 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 4.510 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 4.510 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.510 * [taylor]: Taking taylor expansion of y in y 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.510 * [taylor]: Taking taylor expansion of x in y 4.510 * [backup-simplify]: Simplify x into x 4.510 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.510 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.510 * [taylor]: Taking taylor expansion of x in y 4.510 * [backup-simplify]: Simplify x into x 4.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.510 * [taylor]: Taking taylor expansion of y in y 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.510 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.511 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.511 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 4.511 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.511 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.511 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 4.511 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 4.511 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 4.511 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.511 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.511 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 4.512 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (* 0 (pow x 3))) into 0 4.512 * [backup-simplify]: Simplify (+ 0 0) into 0 4.512 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.512 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 4.512 * [backup-simplify]: Simplify (+ 0 0) into 0 4.512 * [backup-simplify]: Simplify (+ 0 0) into 0 4.513 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))))) into 0 4.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.513 * [taylor]: Taking taylor expansion of x in x 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 1 into 1 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [taylor]: Taking taylor expansion of 0 in x 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 1 into 1 4.513 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.514 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 4.514 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (* 0 (pow x 3)))) into 0 4.514 * [backup-simplify]: Simplify (+ 0 0) into 0 4.515 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.515 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 4.515 * [backup-simplify]: Simplify (+ 0 0) into 0 4.515 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.516 * [backup-simplify]: Simplify (* 1 1) into 1 4.516 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.516 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 4.516 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 4.516 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ (- (pow x 2)) (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 1 4.517 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 4.517 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.517 * [taylor]: Taking taylor expansion of 1/2 in x 4.517 * [backup-simplify]: Simplify 1/2 into 1/2 4.517 * [taylor]: Taking taylor expansion of x in x 4.517 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify 1 into 1 4.517 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.519 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 4.522 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 3))))) into 0 4.522 * [backup-simplify]: Simplify (+ 0 0) into 0 4.523 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.524 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 4.524 * [backup-simplify]: Simplify (+ 0 0) into 0 4.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.525 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.526 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.526 * [backup-simplify]: Simplify (- 0) into 0 4.527 * [backup-simplify]: Simplify (+ 0 0) into 0 4.527 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))) (* 0 (/ (- (pow x 2)) (pow x 4))) (* 1 (/ 0 (pow x 4))))) into 0 4.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 4.528 * [taylor]: Taking taylor expansion of 0 in x 4.528 * [backup-simplify]: Simplify 0 into 0 4.528 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 4.530 * [backup-simplify]: Simplify (sqrt (/ (+ (pow (/ 1 y) 6) (pow (/ 1 x) 6)) (+ (* (* (/ 1 y) (/ 1 y)) (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) (pow (/ 1 x) 4)))) into (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) 4.530 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in (y x) around 0 4.530 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in x 4.530 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 4.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 4.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 4.530 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.530 * [taylor]: Taking taylor expansion of y in x 4.530 * [backup-simplify]: Simplify y into y 4.530 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.530 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.531 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.531 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 4.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 4.531 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.531 * [taylor]: Taking taylor expansion of x in x 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.531 * [backup-simplify]: Simplify (* 1 1) into 1 4.532 * [backup-simplify]: Simplify (* 1 1) into 1 4.532 * [backup-simplify]: Simplify (* 1 1) into 1 4.532 * [backup-simplify]: Simplify (/ 1 1) into 1 4.532 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 4.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 4.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.533 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.533 * [taylor]: Taking taylor expansion of x in x 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 1 into 1 4.533 * [backup-simplify]: Simplify (* 1 1) into 1 4.533 * [backup-simplify]: Simplify (* 1 1) into 1 4.534 * [backup-simplify]: Simplify (/ 1 1) into 1 4.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 4.534 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.534 * [taylor]: Taking taylor expansion of y in x 4.534 * [backup-simplify]: Simplify y into y 4.534 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.534 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.534 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 4.534 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 4.534 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.534 * [taylor]: Taking taylor expansion of x in x 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 1 into 1 4.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.534 * [taylor]: Taking taylor expansion of y in x 4.534 * [backup-simplify]: Simplify y into y 4.535 * [backup-simplify]: Simplify (* 1 1) into 1 4.535 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.535 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.535 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.536 * [backup-simplify]: Simplify (+ 0 1) into 1 4.536 * [backup-simplify]: Simplify (+ 1 0) into 1 4.536 * [backup-simplify]: Simplify (+ 1 0) into 1 4.537 * [backup-simplify]: Simplify (/ 1 1) into 1 4.537 * [backup-simplify]: Simplify (sqrt 1) into 1 4.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.540 * [backup-simplify]: Simplify (+ 0 0) into 0 4.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.542 * [backup-simplify]: Simplify (+ 0 0) into 0 4.543 * [backup-simplify]: Simplify (+ 0 0) into 0 4.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.544 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in y 4.544 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.544 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.544 * [taylor]: Taking taylor expansion of y in y 4.544 * [backup-simplify]: Simplify 0 into 0 4.544 * [backup-simplify]: Simplify 1 into 1 4.545 * [backup-simplify]: Simplify (* 1 1) into 1 4.545 * [backup-simplify]: Simplify (* 1 1) into 1 4.545 * [backup-simplify]: Simplify (* 1 1) into 1 4.546 * [backup-simplify]: Simplify (/ 1 1) into 1 4.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.546 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.546 * [taylor]: Taking taylor expansion of x in y 4.546 * [backup-simplify]: Simplify x into x 4.546 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.546 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.546 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.546 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.546 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.546 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.546 * [taylor]: Taking taylor expansion of x in y 4.546 * [backup-simplify]: Simplify x into x 4.546 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.546 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.547 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.547 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.547 * [taylor]: Taking taylor expansion of y in y 4.547 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify 1 into 1 4.547 * [backup-simplify]: Simplify (* 1 1) into 1 4.547 * [backup-simplify]: Simplify (* 1 1) into 1 4.547 * [backup-simplify]: Simplify (/ 1 1) into 1 4.547 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.547 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.547 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.547 * [taylor]: Taking taylor expansion of x in y 4.547 * [backup-simplify]: Simplify x into x 4.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.547 * [taylor]: Taking taylor expansion of y in y 4.548 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify 1 into 1 4.548 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.548 * [backup-simplify]: Simplify (* 1 1) into 1 4.548 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.548 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.548 * [backup-simplify]: Simplify (+ 1 0) into 1 4.549 * [backup-simplify]: Simplify (+ 0 1) into 1 4.549 * [backup-simplify]: Simplify (+ 1 0) into 1 4.549 * [backup-simplify]: Simplify (/ 1 1) into 1 4.549 * [backup-simplify]: Simplify (sqrt 1) into 1 4.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.551 * [backup-simplify]: Simplify (+ 0 0) into 0 4.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (+ 0 0) into 0 4.553 * [backup-simplify]: Simplify (+ 0 0) into 0 4.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.554 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in y 4.554 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.554 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.554 * [taylor]: Taking taylor expansion of y in y 4.554 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify 1 into 1 4.554 * [backup-simplify]: Simplify (* 1 1) into 1 4.555 * [backup-simplify]: Simplify (* 1 1) into 1 4.555 * [backup-simplify]: Simplify (* 1 1) into 1 4.555 * [backup-simplify]: Simplify (/ 1 1) into 1 4.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.555 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.555 * [taylor]: Taking taylor expansion of x in y 4.555 * [backup-simplify]: Simplify x into x 4.555 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.555 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.556 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.556 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.556 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.556 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.556 * [taylor]: Taking taylor expansion of x in y 4.556 * [backup-simplify]: Simplify x into x 4.556 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.556 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.556 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.556 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.556 * [taylor]: Taking taylor expansion of y in y 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 1 into 1 4.556 * [backup-simplify]: Simplify (* 1 1) into 1 4.557 * [backup-simplify]: Simplify (* 1 1) into 1 4.557 * [backup-simplify]: Simplify (/ 1 1) into 1 4.557 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.557 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.557 * [taylor]: Taking taylor expansion of x in y 4.557 * [backup-simplify]: Simplify x into x 4.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.557 * [taylor]: Taking taylor expansion of y in y 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify 1 into 1 4.557 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.557 * [backup-simplify]: Simplify (* 1 1) into 1 4.557 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.557 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.558 * [backup-simplify]: Simplify (+ 1 0) into 1 4.558 * [backup-simplify]: Simplify (+ 0 1) into 1 4.558 * [backup-simplify]: Simplify (+ 1 0) into 1 4.559 * [backup-simplify]: Simplify (/ 1 1) into 1 4.559 * [backup-simplify]: Simplify (sqrt 1) into 1 4.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.561 * [backup-simplify]: Simplify (+ 0 0) into 0 4.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.562 * [backup-simplify]: Simplify (+ 0 0) into 0 4.562 * [backup-simplify]: Simplify (+ 0 0) into 0 4.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.563 * [taylor]: Taking taylor expansion of 1 in x 4.563 * [backup-simplify]: Simplify 1 into 1 4.563 * [taylor]: Taking taylor expansion of 0 in x 4.563 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 1 into 1 4.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.566 * [backup-simplify]: Simplify (+ 0 0) into 0 4.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.568 * [backup-simplify]: Simplify (+ 0 0) into 0 4.568 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.568 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 4.570 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 4.570 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.570 * [taylor]: Taking taylor expansion of 1/2 in x 4.570 * [backup-simplify]: Simplify 1/2 into 1/2 4.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.570 * [taylor]: Taking taylor expansion of x in x 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 1 into 1 4.570 * [backup-simplify]: Simplify (* 1 1) into 1 4.570 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 0 into 0 4.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.574 * [backup-simplify]: Simplify (+ 0 0) into 0 4.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.577 * [backup-simplify]: Simplify (+ 0 0) into 0 4.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.578 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.578 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.579 * [backup-simplify]: Simplify (- 0) into 0 4.579 * [backup-simplify]: Simplify (+ 0 0) into 0 4.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 4.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 4.581 * [taylor]: Taking taylor expansion of 0 in x 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 4.583 * [backup-simplify]: Simplify (sqrt (/ (+ (pow (/ 1 (- y)) 6) (pow (/ 1 (- x)) 6)) (+ (* (* (/ 1 (- y)) (/ 1 (- y))) (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) (pow (/ 1 (- x)) 4)))) into (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) 4.583 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in (y x) around 0 4.583 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in x 4.583 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 4.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 4.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 4.583 * [taylor]: Taking taylor expansion of (pow y 6) in x 4.583 * [taylor]: Taking taylor expansion of y in x 4.583 * [backup-simplify]: Simplify y into y 4.583 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.583 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 4.583 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 4.583 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 4.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 4.583 * [taylor]: Taking taylor expansion of (pow x 6) in x 4.583 * [taylor]: Taking taylor expansion of x in x 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.584 * [backup-simplify]: Simplify (* 1 1) into 1 4.584 * [backup-simplify]: Simplify (* 1 1) into 1 4.584 * [backup-simplify]: Simplify (* 1 1) into 1 4.584 * [backup-simplify]: Simplify (/ 1 1) into 1 4.584 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 4.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 4.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.584 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.584 * [taylor]: Taking taylor expansion of x in x 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.585 * [backup-simplify]: Simplify (* 1 1) into 1 4.585 * [backup-simplify]: Simplify (* 1 1) into 1 4.585 * [backup-simplify]: Simplify (/ 1 1) into 1 4.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 4.585 * [taylor]: Taking taylor expansion of (pow y 4) in x 4.585 * [taylor]: Taking taylor expansion of y in x 4.585 * [backup-simplify]: Simplify y into y 4.585 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.585 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 4.585 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 4.585 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 4.585 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 4.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.586 * [taylor]: Taking taylor expansion of x in x 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.586 * [taylor]: Taking taylor expansion of y in x 4.586 * [backup-simplify]: Simplify y into y 4.586 * [backup-simplify]: Simplify (* 1 1) into 1 4.586 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.586 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 4.586 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.586 * [backup-simplify]: Simplify (+ 0 1) into 1 4.587 * [backup-simplify]: Simplify (+ 1 0) into 1 4.587 * [backup-simplify]: Simplify (+ 1 0) into 1 4.587 * [backup-simplify]: Simplify (/ 1 1) into 1 4.587 * [backup-simplify]: Simplify (sqrt 1) into 1 4.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.589 * [backup-simplify]: Simplify (+ 0 0) into 0 4.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.591 * [backup-simplify]: Simplify (+ 0 0) into 0 4.591 * [backup-simplify]: Simplify (+ 0 0) into 0 4.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.592 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in y 4.592 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.592 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.592 * [taylor]: Taking taylor expansion of y in y 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.592 * [backup-simplify]: Simplify (* 1 1) into 1 4.593 * [backup-simplify]: Simplify (* 1 1) into 1 4.593 * [backup-simplify]: Simplify (* 1 1) into 1 4.593 * [backup-simplify]: Simplify (/ 1 1) into 1 4.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.593 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.593 * [taylor]: Taking taylor expansion of x in y 4.593 * [backup-simplify]: Simplify x into x 4.593 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.594 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.594 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.594 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.594 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.594 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.594 * [taylor]: Taking taylor expansion of x in y 4.594 * [backup-simplify]: Simplify x into x 4.594 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.594 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.595 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.595 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.595 * [taylor]: Taking taylor expansion of y in y 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify 1 into 1 4.595 * [backup-simplify]: Simplify (* 1 1) into 1 4.595 * [backup-simplify]: Simplify (* 1 1) into 1 4.596 * [backup-simplify]: Simplify (/ 1 1) into 1 4.596 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.596 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.596 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.596 * [taylor]: Taking taylor expansion of x in y 4.596 * [backup-simplify]: Simplify x into x 4.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.596 * [taylor]: Taking taylor expansion of y in y 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify 1 into 1 4.596 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.596 * [backup-simplify]: Simplify (* 1 1) into 1 4.597 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.597 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.597 * [backup-simplify]: Simplify (+ 1 0) into 1 4.598 * [backup-simplify]: Simplify (+ 0 1) into 1 4.598 * [backup-simplify]: Simplify (+ 1 0) into 1 4.598 * [backup-simplify]: Simplify (/ 1 1) into 1 4.599 * [backup-simplify]: Simplify (sqrt 1) into 1 4.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.601 * [backup-simplify]: Simplify (+ 0 0) into 0 4.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.602 * [backup-simplify]: Simplify (+ 0 0) into 0 4.603 * [backup-simplify]: Simplify (+ 0 0) into 0 4.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.604 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))))) in y 4.604 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 4.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 4.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 4.604 * [taylor]: Taking taylor expansion of (pow y 6) in y 4.604 * [taylor]: Taking taylor expansion of y in y 4.604 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify 1 into 1 4.604 * [backup-simplify]: Simplify (* 1 1) into 1 4.604 * [backup-simplify]: Simplify (* 1 1) into 1 4.604 * [backup-simplify]: Simplify (* 1 1) into 1 4.605 * [backup-simplify]: Simplify (/ 1 1) into 1 4.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 4.605 * [taylor]: Taking taylor expansion of (pow x 6) in y 4.605 * [taylor]: Taking taylor expansion of x in y 4.605 * [backup-simplify]: Simplify x into x 4.605 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.605 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 4.605 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 4.605 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 4.605 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 4.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 4.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 4.605 * [taylor]: Taking taylor expansion of (pow x 4) in y 4.605 * [taylor]: Taking taylor expansion of x in y 4.605 * [backup-simplify]: Simplify x into x 4.605 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.605 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 4.606 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 4.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.606 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.606 * [taylor]: Taking taylor expansion of y in y 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (* 1 1) into 1 4.606 * [backup-simplify]: Simplify (* 1 1) into 1 4.606 * [backup-simplify]: Simplify (/ 1 1) into 1 4.606 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 4.606 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 4.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.606 * [taylor]: Taking taylor expansion of x in y 4.606 * [backup-simplify]: Simplify x into x 4.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.606 * [taylor]: Taking taylor expansion of y in y 4.606 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.607 * [backup-simplify]: Simplify (* 1 1) into 1 4.607 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.607 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.607 * [backup-simplify]: Simplify (+ 1 0) into 1 4.608 * [backup-simplify]: Simplify (+ 0 1) into 1 4.608 * [backup-simplify]: Simplify (+ 1 0) into 1 4.608 * [backup-simplify]: Simplify (/ 1 1) into 1 4.608 * [backup-simplify]: Simplify (sqrt 1) into 1 4.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (+ 0 0) into 0 4.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.612 * [backup-simplify]: Simplify (+ 0 0) into 0 4.613 * [backup-simplify]: Simplify (+ 0 0) into 0 4.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.614 * [taylor]: Taking taylor expansion of 1 in x 4.614 * [backup-simplify]: Simplify 1 into 1 4.614 * [taylor]: Taking taylor expansion of 0 in x 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 1 into 1 4.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.618 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (+ 0 0) into 0 4.621 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.621 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 4.624 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 4.624 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 4.624 * [taylor]: Taking taylor expansion of 1/2 in x 4.624 * [backup-simplify]: Simplify 1/2 into 1/2 4.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.624 * [taylor]: Taking taylor expansion of x in x 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify 1 into 1 4.624 * [backup-simplify]: Simplify (* 1 1) into 1 4.625 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (+ 0 0) into 0 4.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.635 * [backup-simplify]: Simplify (+ 0 0) into 0 4.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.636 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.637 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 4.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.637 * [backup-simplify]: Simplify (- 0) into 0 4.638 * [backup-simplify]: Simplify (+ 0 0) into 0 4.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 4.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 4.640 * [taylor]: Taking taylor expansion of 0 in x 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 4.642 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.642 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 4.642 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 4.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 4.642 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.642 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.642 * [taylor]: Taking taylor expansion of x in y 4.642 * [backup-simplify]: Simplify x into x 4.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.642 * [taylor]: Taking taylor expansion of y in y 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 1 into 1 4.642 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.642 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.642 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.643 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.643 * [backup-simplify]: Simplify (+ 0 0) into 0 4.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.643 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.643 * [taylor]: Taking taylor expansion of x in x 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 1 into 1 4.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.643 * [taylor]: Taking taylor expansion of y in x 4.643 * [backup-simplify]: Simplify y into y 4.643 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.643 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.644 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.644 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.644 * [backup-simplify]: Simplify (+ 0 0) into 0 4.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.644 * [taylor]: Taking taylor expansion of x in x 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.644 * [taylor]: Taking taylor expansion of y in x 4.644 * [backup-simplify]: Simplify y into y 4.644 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.645 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.645 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.645 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.645 * [backup-simplify]: Simplify (+ 0 0) into 0 4.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.645 * [taylor]: Taking taylor expansion of y in y 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 1 into 1 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [taylor]: Taking taylor expansion of 0 in y 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (* 1 1) into 1 4.646 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.647 * [backup-simplify]: Simplify (+ 1 0) into 1 4.647 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 4.647 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.647 * [taylor]: Taking taylor expansion of 1/2 in y 4.647 * [backup-simplify]: Simplify 1/2 into 1/2 4.647 * [taylor]: Taking taylor expansion of y in y 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.650 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.650 * [backup-simplify]: Simplify (+ 0 0) into 0 4.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 4.651 * [taylor]: Taking taylor expansion of 0 in y 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 4.652 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.652 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.652 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.652 * [taylor]: Taking taylor expansion of x in y 4.652 * [backup-simplify]: Simplify x into x 4.652 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.653 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.653 * [taylor]: Taking taylor expansion of y in y 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify (* 1 1) into 1 4.653 * [backup-simplify]: Simplify (/ 1 1) into 1 4.654 * [backup-simplify]: Simplify (+ 0 1) into 1 4.654 * [backup-simplify]: Simplify (sqrt 1) into 1 4.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.656 * [backup-simplify]: Simplify (+ 0 0) into 0 4.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.656 * [taylor]: Taking taylor expansion of x in x 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 1 into 1 4.657 * [backup-simplify]: Simplify (* 1 1) into 1 4.657 * [backup-simplify]: Simplify (/ 1 1) into 1 4.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.657 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.657 * [taylor]: Taking taylor expansion of y in x 4.657 * [backup-simplify]: Simplify y into y 4.657 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.657 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.658 * [backup-simplify]: Simplify (+ 1 0) into 1 4.658 * [backup-simplify]: Simplify (sqrt 1) into 1 4.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.659 * [backup-simplify]: Simplify (+ 0 0) into 0 4.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.659 * [taylor]: Taking taylor expansion of x in x 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 1 into 1 4.660 * [backup-simplify]: Simplify (* 1 1) into 1 4.660 * [backup-simplify]: Simplify (/ 1 1) into 1 4.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.660 * [taylor]: Taking taylor expansion of y in x 4.660 * [backup-simplify]: Simplify y into y 4.660 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.660 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.660 * [backup-simplify]: Simplify (+ 1 0) into 1 4.661 * [backup-simplify]: Simplify (sqrt 1) into 1 4.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (+ 0 0) into 0 4.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.662 * [taylor]: Taking taylor expansion of 1 in y 4.662 * [backup-simplify]: Simplify 1 into 1 4.662 * [taylor]: Taking taylor expansion of 0 in y 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 1 into 1 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.664 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.664 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.664 * [taylor]: Taking taylor expansion of 1/2 in y 4.664 * [backup-simplify]: Simplify 1/2 into 1/2 4.664 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.664 * [taylor]: Taking taylor expansion of y in y 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 1 into 1 4.665 * [backup-simplify]: Simplify (* 1 1) into 1 4.665 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.667 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.668 * [backup-simplify]: Simplify (+ 0 0) into 0 4.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.668 * [taylor]: Taking taylor expansion of 0 in y 4.668 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.670 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.670 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.670 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.670 * [taylor]: Taking taylor expansion of x in y 4.670 * [backup-simplify]: Simplify x into x 4.670 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.670 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.670 * [taylor]: Taking taylor expansion of y in y 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 1 into 1 4.670 * [backup-simplify]: Simplify (* 1 1) into 1 4.670 * [backup-simplify]: Simplify (/ 1 1) into 1 4.671 * [backup-simplify]: Simplify (+ 0 1) into 1 4.671 * [backup-simplify]: Simplify (sqrt 1) into 1 4.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.672 * [backup-simplify]: Simplify (+ 0 0) into 0 4.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.673 * [taylor]: Taking taylor expansion of x in x 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 1 into 1 4.673 * [backup-simplify]: Simplify (* 1 1) into 1 4.673 * [backup-simplify]: Simplify (/ 1 1) into 1 4.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.673 * [taylor]: Taking taylor expansion of y in x 4.673 * [backup-simplify]: Simplify y into y 4.673 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.674 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.674 * [backup-simplify]: Simplify (+ 1 0) into 1 4.674 * [backup-simplify]: Simplify (sqrt 1) into 1 4.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.675 * [backup-simplify]: Simplify (+ 0 0) into 0 4.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.676 * [taylor]: Taking taylor expansion of x in x 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (* 1 1) into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.676 * [taylor]: Taking taylor expansion of y in x 4.676 * [backup-simplify]: Simplify y into y 4.676 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.676 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.677 * [backup-simplify]: Simplify (+ 1 0) into 1 4.677 * [backup-simplify]: Simplify (sqrt 1) into 1 4.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.678 * [backup-simplify]: Simplify (+ 0 0) into 0 4.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.678 * [taylor]: Taking taylor expansion of 1 in y 4.679 * [backup-simplify]: Simplify 1 into 1 4.679 * [taylor]: Taking taylor expansion of 0 in y 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 1 into 1 4.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.681 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.681 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.681 * [taylor]: Taking taylor expansion of 1/2 in y 4.681 * [backup-simplify]: Simplify 1/2 into 1/2 4.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.681 * [taylor]: Taking taylor expansion of y in y 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (* 1 1) into 1 4.681 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.684 * [backup-simplify]: Simplify (+ 0 0) into 0 4.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.684 * [taylor]: Taking taylor expansion of 0 in y 4.684 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.686 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 4.686 * [backup-simplify]: Simplify (* (* y y) (- (* y y) (* x x))) into (* (- (pow y 2) (pow x 2)) (pow y 2)) 4.686 * [approximate]: Taking taylor expansion of (* (- (pow y 2) (pow x 2)) (pow y 2)) in (y x) around 0 4.686 * [taylor]: Taking taylor expansion of (* (- (pow y 2) (pow x 2)) (pow y 2)) in x 4.686 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in x 4.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.686 * [taylor]: Taking taylor expansion of y in x 4.686 * [backup-simplify]: Simplify y into y 4.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.686 * [taylor]: Taking taylor expansion of x in x 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 1 into 1 4.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.686 * [taylor]: Taking taylor expansion of y in x 4.686 * [backup-simplify]: Simplify y into y 4.686 * [taylor]: Taking taylor expansion of (* (- (pow y 2) (pow x 2)) (pow y 2)) in y 4.686 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 4.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.686 * [taylor]: Taking taylor expansion of y in y 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 1 into 1 4.686 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.686 * [taylor]: Taking taylor expansion of x in y 4.686 * [backup-simplify]: Simplify x into x 4.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.686 * [taylor]: Taking taylor expansion of y in y 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 1 into 1 4.686 * [taylor]: Taking taylor expansion of (* (- (pow y 2) (pow x 2)) (pow y 2)) in y 4.686 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 4.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.686 * [taylor]: Taking taylor expansion of y in y 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 1 into 1 4.686 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.686 * [taylor]: Taking taylor expansion of x in y 4.686 * [backup-simplify]: Simplify x into x 4.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.686 * [taylor]: Taking taylor expansion of y in y 4.686 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 1 into 1 4.687 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.687 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 4.687 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 4.687 * [backup-simplify]: Simplify (* 1 1) into 1 4.687 * [backup-simplify]: Simplify (* (- (pow x 2)) 1) into (* -1 (pow x 2)) 4.687 * [taylor]: Taking taylor expansion of (* -1 (pow x 2)) in x 4.687 * [taylor]: Taking taylor expansion of -1 in x 4.687 * [backup-simplify]: Simplify -1 into -1 4.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.687 * [taylor]: Taking taylor expansion of x in x 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.688 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.688 * [backup-simplify]: Simplify (- 0) into 0 4.688 * [backup-simplify]: Simplify (+ 0 0) into 0 4.689 * [backup-simplify]: Simplify (+ (* (- (pow x 2)) 0) (* 0 1)) into 0 4.689 * [taylor]: Taking taylor expansion of 0 in x 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.689 * [backup-simplify]: Simplify (* 1 1) into 1 4.690 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.690 * [backup-simplify]: Simplify (- 0) into 0 4.690 * [backup-simplify]: Simplify (+ 1 0) into 1 4.691 * [backup-simplify]: Simplify (+ (* (- (pow x 2)) 0) (+ (* 0 0) (* 1 1))) into 1 4.691 * [taylor]: Taking taylor expansion of 1 in x 4.691 * [backup-simplify]: Simplify 1 into 1 4.691 * [backup-simplify]: Simplify 1 into 1 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify (* 1 1) into 1 4.691 * [backup-simplify]: Simplify (* -1 1) into -1 4.691 * [backup-simplify]: Simplify -1 into -1 4.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.693 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.693 * [backup-simplify]: Simplify (- 0) into 0 4.693 * [backup-simplify]: Simplify (+ 0 0) into 0 4.694 * [backup-simplify]: Simplify (+ (* (- (pow x 2)) 0) (+ (* 0 0) (+ (* 1 0) (* 0 1)))) into 0 4.694 * [taylor]: Taking taylor expansion of 0 in x 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.695 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 4.695 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.697 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.697 * [backup-simplify]: Simplify (- 0) into 0 4.697 * [backup-simplify]: Simplify (+ 0 0) into 0 4.698 * [backup-simplify]: Simplify (+ (* (- (pow x 2)) 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1))))) into 0 4.698 * [taylor]: Taking taylor expansion of 0 in x 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify (+ (* -1 (pow (* x y) 2)) (* 1 (pow (* 1 y) 4))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 4.698 * [backup-simplify]: Simplify (* (* (/ 1 y) (/ 1 y)) (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) 4.699 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in (y x) around 0 4.699 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in x 4.699 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.699 * [taylor]: Taking taylor expansion of y in x 4.699 * [backup-simplify]: Simplify y into y 4.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.699 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.699 * [taylor]: Taking taylor expansion of x in x 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [backup-simplify]: Simplify (* 1 1) into 1 4.699 * [backup-simplify]: Simplify (/ 1 1) into 1 4.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.699 * [taylor]: Taking taylor expansion of y in x 4.699 * [backup-simplify]: Simplify y into y 4.700 * [backup-simplify]: Simplify (- 1) into -1 4.700 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.700 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.700 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 4.700 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in y 4.700 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.700 * [taylor]: Taking taylor expansion of y in y 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify 1 into 1 4.700 * [backup-simplify]: Simplify (* 1 1) into 1 4.701 * [backup-simplify]: Simplify (/ 1 1) into 1 4.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.701 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.701 * [taylor]: Taking taylor expansion of x in y 4.701 * [backup-simplify]: Simplify x into x 4.701 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.701 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.701 * [taylor]: Taking taylor expansion of y in y 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 1 into 1 4.701 * [backup-simplify]: Simplify (+ 1 0) into 1 4.701 * [backup-simplify]: Simplify (* 1 1) into 1 4.702 * [backup-simplify]: Simplify (/ 1 1) into 1 4.702 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in y 4.702 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.702 * [taylor]: Taking taylor expansion of y in y 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 1 into 1 4.702 * [backup-simplify]: Simplify (* 1 1) into 1 4.702 * [backup-simplify]: Simplify (/ 1 1) into 1 4.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.702 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.702 * [taylor]: Taking taylor expansion of x in y 4.703 * [backup-simplify]: Simplify x into x 4.703 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.703 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.703 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.703 * [taylor]: Taking taylor expansion of y in y 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.703 * [backup-simplify]: Simplify (+ 1 0) into 1 4.703 * [backup-simplify]: Simplify (* 1 1) into 1 4.704 * [backup-simplify]: Simplify (/ 1 1) into 1 4.704 * [taylor]: Taking taylor expansion of 1 in x 4.704 * [backup-simplify]: Simplify 1 into 1 4.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify (+ 0 0) into 0 4.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.706 * [taylor]: Taking taylor expansion of 0 in x 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.707 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.707 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.708 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 4.708 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.708 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.708 * [taylor]: Taking taylor expansion of x in x 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * [backup-simplify]: Simplify (* 1 1) into 1 4.709 * [backup-simplify]: Simplify (/ 1 1) into 1 4.709 * [backup-simplify]: Simplify (- 1) into -1 4.709 * [backup-simplify]: Simplify -1 into -1 4.709 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.710 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.711 * [backup-simplify]: Simplify (- 0) into 0 4.711 * [backup-simplify]: Simplify (+ 0 0) into 0 4.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)))) into 0 4.713 * [taylor]: Taking taylor expansion of 0 in x 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (- 0) into 0 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.715 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.716 * [backup-simplify]: Simplify (- 0) into 0 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.718 * [taylor]: Taking taylor expansion of 0 in x 4.718 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (- 0) into 0 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 4)) (* -1 (pow (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))) 2))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 4.720 * [backup-simplify]: Simplify (* (* (/ 1 (- y)) (/ 1 (- y))) (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) 4.720 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in (y x) around 0 4.720 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in x 4.720 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.720 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.720 * [taylor]: Taking taylor expansion of y in x 4.720 * [backup-simplify]: Simplify y into y 4.721 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.721 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.721 * [taylor]: Taking taylor expansion of x in x 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.721 * [backup-simplify]: Simplify (* 1 1) into 1 4.721 * [backup-simplify]: Simplify (/ 1 1) into 1 4.721 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.721 * [taylor]: Taking taylor expansion of y in x 4.721 * [backup-simplify]: Simplify y into y 4.722 * [backup-simplify]: Simplify (- 1) into -1 4.722 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.722 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.722 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 4.722 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in y 4.722 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.722 * [taylor]: Taking taylor expansion of y in y 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (* 1 1) into 1 4.723 * [backup-simplify]: Simplify (/ 1 1) into 1 4.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.723 * [taylor]: Taking taylor expansion of x in y 4.723 * [backup-simplify]: Simplify x into x 4.723 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.723 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.723 * [taylor]: Taking taylor expansion of y in y 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify 1 into 1 4.723 * [backup-simplify]: Simplify (+ 1 0) into 1 4.723 * [backup-simplify]: Simplify (* 1 1) into 1 4.724 * [backup-simplify]: Simplify (/ 1 1) into 1 4.724 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow y 2)) in y 4.724 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.724 * [taylor]: Taking taylor expansion of y in y 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 1 into 1 4.724 * [backup-simplify]: Simplify (* 1 1) into 1 4.724 * [backup-simplify]: Simplify (/ 1 1) into 1 4.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.724 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.724 * [taylor]: Taking taylor expansion of x in y 4.724 * [backup-simplify]: Simplify x into x 4.724 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.724 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.724 * [taylor]: Taking taylor expansion of y in y 4.724 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 1 into 1 4.725 * [backup-simplify]: Simplify (+ 1 0) into 1 4.725 * [backup-simplify]: Simplify (* 1 1) into 1 4.725 * [backup-simplify]: Simplify (/ 1 1) into 1 4.725 * [taylor]: Taking taylor expansion of 1 in x 4.725 * [backup-simplify]: Simplify 1 into 1 4.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.726 * [backup-simplify]: Simplify (+ 0 0) into 0 4.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.727 * [taylor]: Taking taylor expansion of 0 in x 4.727 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.728 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 4.729 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 4.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.730 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 4.730 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.730 * [taylor]: Taking taylor expansion of x in x 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 1 into 1 4.730 * [backup-simplify]: Simplify (* 1 1) into 1 4.730 * [backup-simplify]: Simplify (/ 1 1) into 1 4.731 * [backup-simplify]: Simplify (- 1) into -1 4.731 * [backup-simplify]: Simplify -1 into -1 4.731 * [backup-simplify]: Simplify 1 into 1 4.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.732 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.732 * [backup-simplify]: Simplify (- 0) into 0 4.732 * [backup-simplify]: Simplify (+ 0 0) into 0 4.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)))) into 0 4.737 * [taylor]: Taking taylor expansion of 0 in x 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.738 * [backup-simplify]: Simplify (- 0) into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.740 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 4.740 * [backup-simplify]: Simplify (- 0) into 0 4.740 * [backup-simplify]: Simplify (+ 0 0) into 0 4.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.743 * [taylor]: Taking taylor expansion of 0 in x 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.744 * [backup-simplify]: Simplify (- 0) into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))) 2))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 4.744 * * * [progress]: simplifying candidates 4.746 * [simplify]: Simplifying: (- (log (+ (pow y 6) (pow x 6))) (log (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (log (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (exp (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (/ (* (* (+ (pow y 6) (pow x 6)) (+ (pow y 6) (pow x 6))) (+ (pow y 6) (pow x 6))) (* (* (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (* (cbrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (cbrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))) (cbrt (/ (+ (pow y 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(cbrt (* (* y y) (- (* y y) (* x x)))) (cbrt (* (* y y) (- (* y y) (* x x))))) (cbrt (* (* y y) (- (* y y) (* x x)))) (* (* (* (* y y) (- (* y y) (* x x))) (* (* y y) (- (* y y) (* x x)))) (* (* y y) (- (* y y) (* x x)))) (sqrt (* (* y y) (- (* y y) (* x x)))) (sqrt (* (* y y) (- (* y y) (* x x)))) (* y (sqrt (- (* y y) (* x x)))) (* y (sqrt (- (* y y) (* x x)))) (* (* y y) (* y y)) (* (* y y) (- (* x x))) (* (* y y) (* y y)) (* (* y y) (- (* x x))) (* (* y y) (* y y)) (* (- (* x x)) (* y y)) (* (* y y) (* y y)) (* (- (* x x)) (* y y)) (* (* y y) (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x))))) (* (* y y) (sqrt (- (* y y) (* x x)))) (* (* y y) 1) (* (* y y) (+ y x)) (* y (- (* y y) (* x x))) (* (* y y) (- (pow (* y y) 3) (pow (* x x) 3))) (* (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x)))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) x y (* -1 y) y x (* -1 x) (- (pow y 4) (* (pow x 2) (pow y 2))) (- (pow y 4) (* (pow x 2) (pow y 2))) (- (pow y 4) (* (pow x 2) (pow y 2))) 4.751 * * [simplify]: Extracting # 0 : cost 0 4.751 * * [simplify]: Extracting # 1 : cost 0 4.751 * * [simplify]: Extracting # 2 : cost 0 4.751 * * [simplify]: Extracting # 3 : cost 0 4.751 * * [simplify]: Extracting # 4 : cost 0 4.752 * * [simplify]: Extracting # 5 : cost 0 4.752 * * [simplify]: Extracting # 6 : cost 0 4.752 * * [simplify]: Extracting # 7 : cost 0 4.752 * * [simplify]: iteration 0 : 193 enodes (cost 3446 ) 4.805 * * [simplify]: Extracting # 0 : cost 0 4.806 * * [simplify]: Extracting # 1 : cost 0 4.807 * * [simplify]: Extracting # 2 : cost 0 4.808 * * [simplify]: Extracting # 3 : cost 0 4.809 * * [simplify]: Extracting # 4 : cost 0 4.810 * * [simplify]: iteration 1 : 444 enodes (cost 3207 ) 5.068 * * [simplify]: Extracting # 0 : cost 0 5.074 * * [simplify]: Extracting # 1 : cost 0 5.076 * * [simplify]: Extracting # 2 : cost 0 5.078 * * [simplify]: Extracting # 3 : cost 0 5.079 * * [simplify]: Extracting # 4 : cost 0 5.081 * * [simplify]: iteration 2 : 1674 enodes (cost 3020 ) 5.860 * * [simplify]: Extracting # 0 : cost 0 5.868 * * [simplify]: Extracting # 1 : cost 0 5.879 * * [simplify]: Extracting # 2 : cost 0 5.888 * * [simplify]: Extracting # 3 : cost 0 5.898 * * [simplify]: Extracting # 4 : cost 0 5.908 * * [simplify]: iteration done: 5000 enodes (cost 3012 ) 5.909 * [simplify]: Simplified to: (log (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (log (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (exp (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (pow (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) 3) (* (cbrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (cbrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))) (cbrt (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (pow (/ (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x 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(- (* y y) (* x x)))) (sqrt (* (* y y) (- (* y y) (* x x)))) (* y (sqrt (- (* y y) (* x x)))) (* y (sqrt (- (* y y) (* x x)))) (pow y 4) (* (- (* x x)) (* y y)) (pow y 4) (* (- (* x x)) (* y y)) (pow y 4) (* (- (* x x)) (* y y)) (pow y 4) (* (- (* x x)) (* y y)) (* (* y y) (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x))))) (* (* y y) (sqrt (- (* y y) (* x x)))) (* y y) (* (* y y) (+ y x)) (- (pow y 3) (* (* x x) y)) (* (pow y 2) (- (pow y 6) (pow x 6))) (* (- (pow y 4) (pow x 4)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) x y (- y) y x (- x) (- (pow y 4) (* (pow x 2) (pow y 2))) (- (pow y 4) (* (pow x 2) (pow y 2))) (- (pow y 4) (* (pow x 2) (pow y 2))) 5.911 * * * [progress]: adding candidates to table 6.463 * [progress]: [Phase 3 of 3] Extracting. 6.463 * * [regime]: Finding splitpoints for: (# # #) 6.464 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 6.464 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 6.486 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 6.505 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 6.525 * * * * [regimes]: Trying to branch on y from (# # #) 6.545 * * * * [regimes]: Trying to branch on x from (# # #) 6.560 * * * [regime]: Found split indices: #