27.306 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: Extracting # 1 : cost 0 0.018 * * [simplify]: Extracting # 2 : cost 0 0.018 * * [simplify]: Extracting # 3 : cost 0 0.018 * * [simplify]: Extracting # 4 : cost 0 0.018 * * [simplify]: Extracting # 5 : cost 0 0.018 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.020 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.038 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.047 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.048 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [backup-simplify]: Simplify x into x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.048 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.048 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.048 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.049 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.049 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.049 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.050 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.050 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.050 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.051 * [backup-simplify]: Simplify (+ 1 0) into 1 0.052 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.052 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.052 * [taylor]: Taking taylor expansion of 1/2 in y 0.052 * [backup-simplify]: Simplify 1/2 into 1/2 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.054 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.055 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.055 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [backup-simplify]: Simplify x into x 0.055 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.056 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [backup-simplify]: Simplify (+ 0 1) into 1 0.067 * [backup-simplify]: Simplify (sqrt 1) into 1 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.072 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.072 * [backup-simplify]: Simplify (+ 1 0) into 1 0.072 * [backup-simplify]: Simplify (sqrt 1) into 1 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [backup-simplify]: Simplify y into y 0.076 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [backup-simplify]: Simplify (sqrt 1) into 1 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.084 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.084 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of 1/2 in y 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.090 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [backup-simplify]: Simplify x into x 0.090 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.090 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ 0 1) into 1 0.091 * [backup-simplify]: Simplify (sqrt 1) into 1 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [backup-simplify]: Simplify y into y 0.094 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.094 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.094 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (sqrt 1) into 1 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.097 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.097 * [backup-simplify]: Simplify (+ 1 0) into 1 0.097 * [backup-simplify]: Simplify (sqrt 1) into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.101 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.101 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.101 * [taylor]: Taking taylor expansion of 1/2 in y 0.101 * [backup-simplify]: Simplify 1/2 into 1/2 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.106 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.106 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.106 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [backup-simplify]: Simplify x into x 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.107 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.108 * [taylor]: Taking taylor expansion of 1 in y 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.112 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.113 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.113 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [backup-simplify]: Simplify x into x 0.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.113 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [backup-simplify]: Simplify y into y 0.114 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.114 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [backup-simplify]: Simplify y into y 0.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.116 * [backup-simplify]: Simplify (+ 1 0) into 1 0.116 * [taylor]: Taking taylor expansion of 1 in y 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.125 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.125 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [backup-simplify]: Simplify x into x 0.125 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [backup-simplify]: Simplify y into y 0.127 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.127 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [backup-simplify]: Simplify y into y 0.127 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.128 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.128 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [taylor]: Taking taylor expansion of 1 in y 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.137 * * * [progress]: simplifying candidates 0.138 * [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)))) (* (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) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.138 * * [simplify]: Extracting # 0 : cost 0 0.138 * * [simplify]: Extracting # 1 : cost 0 0.139 * * [simplify]: Extracting # 2 : cost 0 0.139 * * [simplify]: Extracting # 3 : cost 0 0.139 * * [simplify]: Extracting # 4 : cost 0 0.139 * * [simplify]: Extracting # 5 : cost 0 0.139 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.150 * * [simplify]: Extracting # 0 : cost 0 0.150 * * [simplify]: Extracting # 1 : cost 0 0.150 * * [simplify]: Extracting # 2 : cost 0 0.150 * * [simplify]: Extracting # 3 : cost 0 0.150 * * [simplify]: Extracting # 4 : cost 0 0.151 * * [simplify]: iteration 1 : 124 enodes (cost 347 ) 0.198 * * [simplify]: Extracting # 0 : cost 0 0.199 * * [simplify]: Extracting # 1 : cost 0 0.199 * * [simplify]: Extracting # 2 : cost 0 0.200 * * [simplify]: Extracting # 3 : cost 0 0.200 * * [simplify]: Extracting # 4 : cost 0 0.200 * * [simplify]: iteration 2 : 343 enodes (cost 295 ) 0.442 * * [simplify]: Extracting # 0 : cost 0 0.444 * * [simplify]: Extracting # 1 : cost 0 0.446 * * [simplify]: Extracting # 2 : cost 0 0.447 * * [simplify]: Extracting # 3 : cost 0 0.449 * * [simplify]: Extracting # 4 : cost 0 0.451 * * [simplify]: iteration 3 : 968 enodes (cost 295 ) 1.420 * * [simplify]: Extracting # 0 : cost 0 1.426 * * [simplify]: Extracting # 1 : cost 0 1.431 * * [simplify]: Extracting # 2 : cost 0 1.436 * * [simplify]: Extracting # 3 : cost 0 1.448 * * [simplify]: Extracting # 4 : cost 0 1.453 * * [simplify]: iteration 4 : 2668 enodes (cost 295 ) 2.878 * * [simplify]: Extracting # 0 : cost 0 2.889 * * [simplify]: Extracting # 1 : cost 0 2.895 * * [simplify]: Extracting # 2 : cost 0 2.901 * * [simplify]: Extracting # 3 : cost 0 2.907 * * [simplify]: Extracting # 4 : cost 0 2.912 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 2.912 * [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 (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (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 y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 2.913 * * * [progress]: adding candidates to table 2.996 * * [progress]: iteration 2 / 4 2.996 * * * [progress]: picking best candidate 3.006 * * * * [pick]: Picked # 3.006 * * * [progress]: localizing error 3.015 * * * [progress]: generating rewritten candidates 3.015 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.024 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.035 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.120 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.145 * * * [progress]: generating series expansions 3.146 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.146 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 3.146 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.146 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.146 * [taylor]: Taking taylor expansion of x in y 3.146 * [backup-simplify]: Simplify x into x 3.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.146 * [taylor]: Taking taylor expansion of y in y 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.147 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.147 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.147 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.147 * [backup-simplify]: Simplify (+ 0 0) into 0 3.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.148 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.148 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.148 * [taylor]: Taking taylor expansion of x in x 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.148 * [taylor]: Taking taylor expansion of y in x 3.148 * [backup-simplify]: Simplify y into y 3.148 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.148 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.149 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.149 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.149 * [backup-simplify]: Simplify (+ 0 0) into 0 3.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.149 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.149 * [taylor]: Taking taylor expansion of x in x 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.150 * [taylor]: Taking taylor expansion of y in x 3.150 * [backup-simplify]: Simplify y into y 3.150 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.150 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.150 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.150 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.150 * [backup-simplify]: Simplify (+ 0 0) into 0 3.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.151 * [taylor]: Taking taylor expansion of y in y 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 1 into 1 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [taylor]: Taking taylor expansion of 0 in y 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 1 into 1 3.151 * [backup-simplify]: Simplify (* 1 1) into 1 3.152 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.152 * [backup-simplify]: Simplify (+ 1 0) into 1 3.153 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.153 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.153 * [taylor]: Taking taylor expansion of 1/2 in y 3.153 * [backup-simplify]: Simplify 1/2 into 1/2 3.153 * [taylor]: Taking taylor expansion of y in y 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.154 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.156 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.157 * [backup-simplify]: Simplify (+ 0 0) into 0 3.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.157 * [taylor]: Taking taylor expansion of 0 in y 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.159 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.159 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.159 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.159 * [taylor]: Taking taylor expansion of x in y 3.159 * [backup-simplify]: Simplify x into x 3.159 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.159 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.159 * [taylor]: Taking taylor expansion of y in y 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (* 1 1) into 1 3.160 * [backup-simplify]: Simplify (/ 1 1) into 1 3.160 * [backup-simplify]: Simplify (+ 0 1) into 1 3.161 * [backup-simplify]: Simplify (sqrt 1) into 1 3.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify (+ 0 0) into 0 3.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.164 * [taylor]: Taking taylor expansion of x in x 3.164 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify 1 into 1 3.164 * [backup-simplify]: Simplify (* 1 1) into 1 3.164 * [backup-simplify]: Simplify (/ 1 1) into 1 3.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.165 * [taylor]: Taking taylor expansion of y in x 3.165 * [backup-simplify]: Simplify y into y 3.165 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.165 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.165 * [backup-simplify]: Simplify (+ 1 0) into 1 3.166 * [backup-simplify]: Simplify (sqrt 1) into 1 3.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.168 * [backup-simplify]: Simplify (+ 0 0) into 0 3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.168 * [taylor]: Taking taylor expansion of x in x 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (* 1 1) into 1 3.169 * [backup-simplify]: Simplify (/ 1 1) into 1 3.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.169 * [taylor]: Taking taylor expansion of y in x 3.169 * [backup-simplify]: Simplify y into y 3.169 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.170 * [backup-simplify]: Simplify (+ 1 0) into 1 3.171 * [backup-simplify]: Simplify (sqrt 1) into 1 3.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.172 * [backup-simplify]: Simplify (+ 0 0) into 0 3.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.173 * [taylor]: Taking taylor expansion of 1 in y 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [taylor]: Taking taylor expansion of 0 in y 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.177 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.177 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.177 * [taylor]: Taking taylor expansion of 1/2 in y 3.177 * [backup-simplify]: Simplify 1/2 into 1/2 3.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.177 * [taylor]: Taking taylor expansion of y in y 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 1 into 1 3.177 * [backup-simplify]: Simplify (* 1 1) into 1 3.178 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.182 * [backup-simplify]: Simplify (+ 0 0) into 0 3.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.183 * [taylor]: Taking taylor expansion of 0 in y 3.183 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.185 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.185 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.186 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.186 * [taylor]: Taking taylor expansion of x in y 3.186 * [backup-simplify]: Simplify x into x 3.186 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.186 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.186 * [taylor]: Taking taylor expansion of y in y 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 1 into 1 3.186 * [backup-simplify]: Simplify (* 1 1) into 1 3.187 * [backup-simplify]: Simplify (/ 1 1) into 1 3.187 * [backup-simplify]: Simplify (+ 0 1) into 1 3.188 * [backup-simplify]: Simplify (sqrt 1) into 1 3.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.194 * [backup-simplify]: Simplify (+ 0 0) into 0 3.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.195 * [taylor]: Taking taylor expansion of x in x 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 1 into 1 3.195 * [backup-simplify]: Simplify (* 1 1) into 1 3.195 * [backup-simplify]: Simplify (/ 1 1) into 1 3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.195 * [taylor]: Taking taylor expansion of y in x 3.195 * [backup-simplify]: Simplify y into y 3.195 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.196 * [backup-simplify]: Simplify (+ 1 0) into 1 3.196 * [backup-simplify]: Simplify (sqrt 1) into 1 3.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (+ 0 0) into 0 3.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.197 * [taylor]: Taking taylor expansion of x in x 3.198 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify 1 into 1 3.198 * [backup-simplify]: Simplify (* 1 1) into 1 3.198 * [backup-simplify]: Simplify (/ 1 1) into 1 3.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.198 * [taylor]: Taking taylor expansion of y in x 3.198 * [backup-simplify]: Simplify y into y 3.198 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.199 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.199 * [backup-simplify]: Simplify (+ 1 0) into 1 3.199 * [backup-simplify]: Simplify (sqrt 1) into 1 3.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.200 * [backup-simplify]: Simplify (+ 0 0) into 0 3.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.201 * [taylor]: Taking taylor expansion of 1 in y 3.201 * [backup-simplify]: Simplify 1 into 1 3.201 * [taylor]: Taking taylor expansion of 0 in y 3.201 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify 1 into 1 3.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.202 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.203 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.203 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.203 * [taylor]: Taking taylor expansion of 1/2 in y 3.203 * [backup-simplify]: Simplify 1/2 into 1/2 3.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.203 * [taylor]: Taking taylor expansion of y in y 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify 1 into 1 3.203 * [backup-simplify]: Simplify (* 1 1) into 1 3.203 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.205 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.206 * [backup-simplify]: Simplify (+ 0 0) into 0 3.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.206 * [taylor]: Taking taylor expansion of 0 in y 3.206 * [backup-simplify]: Simplify 0 into 0 3.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.208 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.208 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 3.208 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.208 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.208 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.208 * [taylor]: Taking taylor expansion of x in y 3.208 * [backup-simplify]: Simplify x into x 3.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.208 * [taylor]: Taking taylor expansion of y in y 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 1 into 1 3.208 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.208 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.209 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.209 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.209 * [backup-simplify]: Simplify (+ 0 0) into 0 3.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.209 * [taylor]: Taking taylor expansion of x in x 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 1 into 1 3.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.209 * [taylor]: Taking taylor expansion of y in x 3.209 * [backup-simplify]: Simplify y into y 3.209 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.209 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.209 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.209 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.210 * [backup-simplify]: Simplify (+ 0 0) into 0 3.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.210 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.210 * [taylor]: Taking taylor expansion of x in x 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.210 * [taylor]: Taking taylor expansion of y in x 3.210 * [backup-simplify]: Simplify y into y 3.210 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.210 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.210 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.210 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.210 * [backup-simplify]: Simplify (+ 0 0) into 0 3.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.211 * [taylor]: Taking taylor expansion of y in y 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [taylor]: Taking taylor expansion of 0 in y 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [backup-simplify]: Simplify (* 1 1) into 1 3.211 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.212 * [backup-simplify]: Simplify (+ 1 0) into 1 3.212 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.212 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.212 * [taylor]: Taking taylor expansion of 1/2 in y 3.212 * [backup-simplify]: Simplify 1/2 into 1/2 3.212 * [taylor]: Taking taylor expansion of y in y 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 1 into 1 3.212 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.214 * [backup-simplify]: Simplify (+ 0 0) into 0 3.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.214 * [taylor]: Taking taylor expansion of 0 in y 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.215 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.215 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.215 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.215 * [taylor]: Taking taylor expansion of x in y 3.215 * [backup-simplify]: Simplify x into x 3.215 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.216 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.216 * [taylor]: Taking taylor expansion of y in y 3.216 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify 1 into 1 3.216 * [backup-simplify]: Simplify (* 1 1) into 1 3.216 * [backup-simplify]: Simplify (/ 1 1) into 1 3.216 * [backup-simplify]: Simplify (+ 0 1) into 1 3.217 * [backup-simplify]: Simplify (sqrt 1) into 1 3.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.218 * [backup-simplify]: Simplify (+ 0 0) into 0 3.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.218 * [taylor]: Taking taylor expansion of x in x 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 1 into 1 3.218 * [backup-simplify]: Simplify (* 1 1) into 1 3.219 * [backup-simplify]: Simplify (/ 1 1) into 1 3.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.219 * [taylor]: Taking taylor expansion of y in x 3.219 * [backup-simplify]: Simplify y into y 3.219 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.219 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.219 * [backup-simplify]: Simplify (+ 1 0) into 1 3.220 * [backup-simplify]: Simplify (sqrt 1) into 1 3.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.221 * [backup-simplify]: Simplify (+ 0 0) into 0 3.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.221 * [taylor]: Taking taylor expansion of x in x 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify 1 into 1 3.221 * [backup-simplify]: Simplify (* 1 1) into 1 3.222 * [backup-simplify]: Simplify (/ 1 1) into 1 3.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.222 * [taylor]: Taking taylor expansion of y in x 3.222 * [backup-simplify]: Simplify y into y 3.222 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.222 * [backup-simplify]: Simplify (+ 1 0) into 1 3.222 * [backup-simplify]: Simplify (sqrt 1) into 1 3.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.224 * [backup-simplify]: Simplify (+ 0 0) into 0 3.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.224 * [taylor]: Taking taylor expansion of 1 in y 3.224 * [backup-simplify]: Simplify 1 into 1 3.224 * [taylor]: Taking taylor expansion of 0 in y 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.225 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.226 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.226 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.226 * [taylor]: Taking taylor expansion of 1/2 in y 3.226 * [backup-simplify]: Simplify 1/2 into 1/2 3.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.226 * [taylor]: Taking taylor expansion of y in y 3.226 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify 1 into 1 3.227 * [backup-simplify]: Simplify (* 1 1) into 1 3.227 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.228 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.229 * [backup-simplify]: Simplify (+ 0 0) into 0 3.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.230 * [taylor]: Taking taylor expansion of 0 in y 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.231 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.231 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.232 * [taylor]: Taking taylor expansion of x in y 3.232 * [backup-simplify]: Simplify x into x 3.232 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.232 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.232 * [taylor]: Taking taylor expansion of y in y 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify (* 1 1) into 1 3.232 * [backup-simplify]: Simplify (/ 1 1) into 1 3.233 * [backup-simplify]: Simplify (+ 0 1) into 1 3.233 * [backup-simplify]: Simplify (sqrt 1) into 1 3.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.234 * [backup-simplify]: Simplify (+ 0 0) into 0 3.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.235 * [taylor]: Taking taylor expansion of x in x 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.235 * [backup-simplify]: Simplify (* 1 1) into 1 3.236 * [backup-simplify]: Simplify (/ 1 1) into 1 3.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.236 * [taylor]: Taking taylor expansion of y in x 3.236 * [backup-simplify]: Simplify y into y 3.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.237 * [backup-simplify]: Simplify (+ 1 0) into 1 3.237 * [backup-simplify]: Simplify (sqrt 1) into 1 3.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.239 * [backup-simplify]: Simplify (+ 0 0) into 0 3.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.240 * [taylor]: Taking taylor expansion of x in x 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (* 1 1) into 1 3.241 * [backup-simplify]: Simplify (/ 1 1) into 1 3.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.241 * [taylor]: Taking taylor expansion of y in x 3.241 * [backup-simplify]: Simplify y into y 3.241 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.241 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.242 * [backup-simplify]: Simplify (+ 1 0) into 1 3.242 * [backup-simplify]: Simplify (sqrt 1) into 1 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.244 * [backup-simplify]: Simplify (+ 0 0) into 0 3.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.245 * [taylor]: Taking taylor expansion of 1 in y 3.245 * [backup-simplify]: Simplify 1 into 1 3.245 * [taylor]: Taking taylor expansion of 0 in y 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 1 into 1 3.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.247 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.249 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.249 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.249 * [taylor]: Taking taylor expansion of 1/2 in y 3.249 * [backup-simplify]: Simplify 1/2 into 1/2 3.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.249 * [taylor]: Taking taylor expansion of y in y 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.249 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.255 * [taylor]: Taking taylor expansion of 0 in y 3.255 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.257 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.258 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2))) 3.258 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.258 * [taylor]: Taking taylor expansion of x in y 3.258 * [backup-simplify]: Simplify x into x 3.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.258 * [taylor]: Taking taylor expansion of y in y 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.258 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.258 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.259 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.259 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.259 * [backup-simplify]: Simplify (+ 0 0) into 0 3.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.259 * [taylor]: Taking taylor expansion of x in x 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.260 * [taylor]: Taking taylor expansion of y in x 3.260 * [backup-simplify]: Simplify y into y 3.260 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.260 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.260 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.260 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.260 * [backup-simplify]: Simplify (+ 0 0) into 0 3.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.261 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.261 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.261 * [taylor]: Taking taylor expansion of x in x 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.261 * [taylor]: Taking taylor expansion of y in x 3.261 * [backup-simplify]: Simplify y into y 3.261 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.261 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.261 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.261 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.262 * [backup-simplify]: Simplify (+ 0 0) into 0 3.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.262 * [taylor]: Taking taylor expansion of y in y 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 1 into 1 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [taylor]: Taking taylor expansion of 0 in y 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 1 into 1 3.262 * [backup-simplify]: Simplify (* 1 1) into 1 3.263 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.263 * [backup-simplify]: Simplify (+ 1 0) into 1 3.264 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.264 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.264 * [taylor]: Taking taylor expansion of 1/2 in y 3.264 * [backup-simplify]: Simplify 1/2 into 1/2 3.264 * [taylor]: Taking taylor expansion of y in y 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.266 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.266 * [backup-simplify]: Simplify (+ 0 0) into 0 3.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.266 * [taylor]: Taking taylor expansion of 0 in y 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.268 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.268 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.268 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.268 * [taylor]: Taking taylor expansion of x in y 3.268 * [backup-simplify]: Simplify x into x 3.268 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.268 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.268 * [taylor]: Taking taylor expansion of y in y 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify (* 1 1) into 1 3.268 * [backup-simplify]: Simplify (/ 1 1) into 1 3.269 * [backup-simplify]: Simplify (+ 0 1) into 1 3.269 * [backup-simplify]: Simplify (sqrt 1) into 1 3.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (+ 0 0) into 0 3.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.271 * [taylor]: Taking taylor expansion of x in x 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (* 1 1) into 1 3.271 * [backup-simplify]: Simplify (/ 1 1) into 1 3.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.271 * [taylor]: Taking taylor expansion of y in x 3.271 * [backup-simplify]: Simplify y into y 3.271 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.272 * [backup-simplify]: Simplify (+ 1 0) into 1 3.272 * [backup-simplify]: Simplify (sqrt 1) into 1 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (+ 0 0) into 0 3.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.273 * [taylor]: Taking taylor expansion of x in x 3.273 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify 1 into 1 3.274 * [backup-simplify]: Simplify (* 1 1) into 1 3.274 * [backup-simplify]: Simplify (/ 1 1) into 1 3.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.274 * [taylor]: Taking taylor expansion of y in x 3.274 * [backup-simplify]: Simplify y into y 3.274 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.274 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.274 * [backup-simplify]: Simplify (+ 1 0) into 1 3.275 * [backup-simplify]: Simplify (sqrt 1) into 1 3.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.276 * [backup-simplify]: Simplify (+ 0 0) into 0 3.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.276 * [taylor]: Taking taylor expansion of 1 in y 3.276 * [backup-simplify]: Simplify 1 into 1 3.276 * [taylor]: Taking taylor expansion of 0 in y 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.277 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.278 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.278 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.278 * [taylor]: Taking taylor expansion of 1/2 in y 3.278 * [backup-simplify]: Simplify 1/2 into 1/2 3.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.278 * [taylor]: Taking taylor expansion of y in y 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 1 into 1 3.279 * [backup-simplify]: Simplify (* 1 1) into 1 3.279 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.282 * [backup-simplify]: Simplify (+ 0 0) into 0 3.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.282 * [taylor]: Taking taylor expansion of 0 in y 3.282 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.284 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.284 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.284 * [taylor]: Taking taylor expansion of x in y 3.284 * [backup-simplify]: Simplify x into x 3.284 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.284 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.284 * [taylor]: Taking taylor expansion of y in y 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify (* 1 1) into 1 3.285 * [backup-simplify]: Simplify (/ 1 1) into 1 3.285 * [backup-simplify]: Simplify (+ 0 1) into 1 3.285 * [backup-simplify]: Simplify (sqrt 1) into 1 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify (+ 0 0) into 0 3.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.287 * [taylor]: Taking taylor expansion of x in x 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (* 1 1) into 1 3.287 * [backup-simplify]: Simplify (/ 1 1) into 1 3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.287 * [taylor]: Taking taylor expansion of y in x 3.287 * [backup-simplify]: Simplify y into y 3.288 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.288 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.288 * [backup-simplify]: Simplify (+ 1 0) into 1 3.288 * [backup-simplify]: Simplify (sqrt 1) into 1 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ 0 0) into 0 3.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.290 * [taylor]: Taking taylor expansion of x in x 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.290 * [backup-simplify]: Simplify (* 1 1) into 1 3.290 * [backup-simplify]: Simplify (/ 1 1) into 1 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.290 * [taylor]: Taking taylor expansion of y in x 3.290 * [backup-simplify]: Simplify y into y 3.290 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.291 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.291 * [backup-simplify]: Simplify (+ 1 0) into 1 3.291 * [backup-simplify]: Simplify (sqrt 1) into 1 3.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ 0 0) into 0 3.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.293 * [taylor]: Taking taylor expansion of 1 in y 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [taylor]: Taking taylor expansion of 0 in y 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.295 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.295 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.295 * [taylor]: Taking taylor expansion of 1/2 in y 3.295 * [backup-simplify]: Simplify 1/2 into 1/2 3.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.295 * [taylor]: Taking taylor expansion of y in y 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (* 1 1) into 1 3.295 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.298 * [backup-simplify]: Simplify (+ 0 0) into 0 3.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.299 * [taylor]: Taking taylor expansion of 0 in y 3.299 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.306 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.306 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 3.306 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 3.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.306 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.306 * [taylor]: Taking taylor expansion of x in y 3.306 * [backup-simplify]: Simplify x into x 3.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.306 * [taylor]: Taking taylor expansion of y in y 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.306 * [taylor]: Taking taylor expansion of x in x 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.306 * [taylor]: Taking taylor expansion of y in x 3.306 * [backup-simplify]: Simplify y into y 3.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.306 * [taylor]: Taking taylor expansion of x in x 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.306 * [taylor]: Taking taylor expansion of y in x 3.306 * [backup-simplify]: Simplify y into y 3.307 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.307 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.307 * [taylor]: Taking taylor expansion of y in y 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 1 into 1 3.307 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.307 * [backup-simplify]: Simplify (+ 0 0) into 0 3.307 * [taylor]: Taking taylor expansion of 0 in y 3.307 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify (* 1 1) into 1 3.308 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.309 * [backup-simplify]: Simplify (+ 1 0) into 1 3.309 * [taylor]: Taking taylor expansion of 1 in y 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify (* 1 1) into 1 3.309 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.311 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.311 * [backup-simplify]: Simplify (+ 0 0) into 0 3.311 * [taylor]: Taking taylor expansion of 0 in y 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.312 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.314 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.314 * [backup-simplify]: Simplify (+ 0 0) into 0 3.314 * [taylor]: Taking taylor expansion of 0 in y 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 3.315 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.315 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.315 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.315 * [taylor]: Taking taylor expansion of x in y 3.315 * [backup-simplify]: Simplify x into x 3.315 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.316 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.316 * [taylor]: Taking taylor expansion of y in y 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [backup-simplify]: Simplify (* 1 1) into 1 3.316 * [backup-simplify]: Simplify (/ 1 1) into 1 3.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.317 * [taylor]: Taking taylor expansion of x in x 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (* 1 1) into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.317 * [taylor]: Taking taylor expansion of y in x 3.317 * [backup-simplify]: Simplify y into y 3.317 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.318 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.318 * [taylor]: Taking taylor expansion of x in x 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [backup-simplify]: Simplify (* 1 1) into 1 3.319 * [backup-simplify]: Simplify (/ 1 1) into 1 3.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.319 * [taylor]: Taking taylor expansion of y in x 3.319 * [backup-simplify]: Simplify y into y 3.319 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.319 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.319 * [backup-simplify]: Simplify (+ 1 0) into 1 3.319 * [taylor]: Taking taylor expansion of 1 in y 3.319 * [backup-simplify]: Simplify 1 into 1 3.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.321 * [taylor]: Taking taylor expansion of 0 in y 3.321 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.323 * [taylor]: Taking taylor expansion of y in y 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify (* 1 1) into 1 3.324 * [backup-simplify]: Simplify (/ 1 1) into 1 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify 1 into 1 3.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.326 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.327 * [backup-simplify]: Simplify (+ 0 0) into 0 3.327 * [taylor]: Taking taylor expansion of 0 in y 3.327 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [taylor]: Taking taylor expansion of 0 in y 3.332 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.335 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.335 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.335 * [taylor]: Taking taylor expansion of x in y 3.335 * [backup-simplify]: Simplify x into x 3.335 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.335 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.335 * [taylor]: Taking taylor expansion of y in y 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify 1 into 1 3.336 * [backup-simplify]: Simplify (* 1 1) into 1 3.336 * [backup-simplify]: Simplify (/ 1 1) into 1 3.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.336 * [taylor]: Taking taylor expansion of x in x 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.337 * [backup-simplify]: Simplify (* 1 1) into 1 3.337 * [backup-simplify]: Simplify (/ 1 1) into 1 3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.337 * [taylor]: Taking taylor expansion of y in x 3.337 * [backup-simplify]: Simplify y into y 3.337 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.337 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.338 * [taylor]: Taking taylor expansion of x in x 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (* 1 1) into 1 3.338 * [backup-simplify]: Simplify (/ 1 1) into 1 3.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.339 * [taylor]: Taking taylor expansion of y in x 3.339 * [backup-simplify]: Simplify y into y 3.339 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.339 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.339 * [backup-simplify]: Simplify (+ 1 0) into 1 3.339 * [taylor]: Taking taylor expansion of 1 in y 3.339 * [backup-simplify]: Simplify 1 into 1 3.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.341 * [backup-simplify]: Simplify (+ 0 0) into 0 3.341 * [taylor]: Taking taylor expansion of 0 in y 3.341 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.344 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.344 * [taylor]: Taking taylor expansion of y in y 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify (* 1 1) into 1 3.344 * [backup-simplify]: Simplify (/ 1 1) into 1 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify 1 into 1 3.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.346 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.347 * [backup-simplify]: Simplify (+ 0 0) into 0 3.347 * [taylor]: Taking taylor expansion of 0 in y 3.347 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.351 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.352 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [taylor]: Taking taylor expansion of 0 in y 3.352 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.354 * * * [progress]: simplifying candidates 3.358 * [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 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y 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(sqrt (+ (* x x) (* y y)))) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) 1) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (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 (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 (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 (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (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) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 3.364 * * [simplify]: Extracting # 0 : cost 0 3.364 * * [simplify]: Extracting # 1 : cost 0 3.364 * * [simplify]: Extracting # 2 : cost 0 3.365 * * [simplify]: Extracting # 3 : cost 0 3.365 * * [simplify]: Extracting # 4 : cost 0 3.365 * * [simplify]: Extracting # 5 : cost 0 3.365 * * [simplify]: Extracting # 6 : cost 0 3.366 * * [simplify]: iteration 0 : 121 enodes (cost 2803 ) 3.410 * * [simplify]: Extracting # 0 : cost 0 3.411 * * [simplify]: Extracting # 1 : cost 0 3.411 * * [simplify]: Extracting # 2 : cost 0 3.411 * * [simplify]: Extracting # 3 : cost 0 3.411 * * [simplify]: Extracting # 4 : cost 0 3.411 * * [simplify]: iteration 1 : 233 enodes (cost 1759 ) 3.507 * * [simplify]: Extracting # 0 : cost 0 3.509 * * [simplify]: Extracting # 1 : cost 0 3.510 * * [simplify]: Extracting # 2 : cost 0 3.511 * * [simplify]: Extracting # 3 : cost 0 3.513 * * [simplify]: Extracting # 4 : cost 0 3.514 * * [simplify]: iteration 2 : 638 enodes (cost 1533 ) 4.047 * * [simplify]: Extracting # 0 : cost 0 4.052 * * [simplify]: Extracting # 1 : cost 0 4.055 * * [simplify]: Extracting # 2 : cost 0 4.059 * * [simplify]: Extracting # 3 : cost 0 4.062 * * [simplify]: Extracting # 4 : cost 0 4.064 * * [simplify]: iteration 3 : 2187 enodes (cost 1496 ) 5.426 * * [simplify]: Extracting # 0 : cost 0 5.434 * * [simplify]: Extracting # 1 : cost 0 5.443 * * [simplify]: Extracting # 2 : cost 0 5.458 * * [simplify]: Extracting # 3 : cost 0 5.466 * * [simplify]: Extracting # 4 : cost 0 5.473 * * [simplify]: iteration done: 5000 enodes (cost 1457 ) 5.474 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 4) (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 (- (* 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)))) (pow 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(* y y))) (* (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (* (sqrt (sqrt (+ (pow y 2) (pow x 2)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (+ (pow y 2) (pow x 2))))) (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 (+ (* y y) (* x x)) 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)) (- (* x x) (pow y 2)) y x (- x) y x (- x) y x (- x) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 5.476 * * * [progress]: adding candidates to table 5.798 * * [progress]: iteration 3 / 4 5.798 * * * [progress]: picking best candidate 5.813 * * * * [pick]: Picked # 5.813 * * * [progress]: localizing error 5.845 * * * [progress]: generating rewritten candidates 5.845 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 5.862 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 5.879 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 5.894 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 5.910 * * * [progress]: generating series expansions 5.910 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 5.911 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 5.911 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.911 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.911 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.911 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.911 * [taylor]: Taking taylor expansion of x in y 5.911 * [backup-simplify]: Simplify x into x 5.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.911 * [taylor]: Taking taylor expansion of y in y 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify 1 into 1 5.919 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.919 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.919 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.919 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.920 * [backup-simplify]: Simplify (+ 0 0) into 0 5.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.920 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.920 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.920 * [taylor]: Taking taylor expansion of x in x 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify 1 into 1 5.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.921 * [taylor]: Taking taylor expansion of y in x 5.921 * [backup-simplify]: Simplify y into y 5.921 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.921 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.921 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.921 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.921 * [backup-simplify]: Simplify (+ 0 0) into 0 5.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.922 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.922 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.922 * [taylor]: Taking taylor expansion of x in x 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 1 into 1 5.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.922 * [taylor]: Taking taylor expansion of y in x 5.922 * [backup-simplify]: Simplify y into y 5.922 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.922 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.922 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.922 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.923 * [backup-simplify]: Simplify (+ 0 0) into 0 5.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.923 * [taylor]: Taking taylor expansion of y in y 5.923 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify 1 into 1 5.923 * [backup-simplify]: Simplify 0 into 0 5.923 * [taylor]: Taking taylor expansion of 0 in y 5.923 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify 1 into 1 5.923 * [backup-simplify]: Simplify (* 1 1) into 1 5.924 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.925 * [backup-simplify]: Simplify (+ 1 0) into 1 5.925 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 5.925 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.925 * [taylor]: Taking taylor expansion of 1/2 in y 5.925 * [backup-simplify]: Simplify 1/2 into 1/2 5.925 * [taylor]: Taking taylor expansion of y in y 5.925 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify 1 into 1 5.926 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.928 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.928 * [backup-simplify]: Simplify (+ 0 0) into 0 5.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 5.929 * [taylor]: Taking taylor expansion of 0 in y 5.929 * [backup-simplify]: Simplify 0 into 0 5.929 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 5.930 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.930 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.930 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.930 * [taylor]: Taking taylor expansion of x in y 5.930 * [backup-simplify]: Simplify x into x 5.930 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.930 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.930 * [taylor]: Taking taylor expansion of y in y 5.930 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify 1 into 1 5.931 * [backup-simplify]: Simplify (* 1 1) into 1 5.931 * [backup-simplify]: Simplify (/ 1 1) into 1 5.931 * [backup-simplify]: Simplify (+ 0 1) into 1 5.932 * [backup-simplify]: Simplify (sqrt 1) into 1 5.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.933 * [backup-simplify]: Simplify (+ 0 0) into 0 5.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.934 * [taylor]: Taking taylor expansion of x in x 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [backup-simplify]: Simplify (* 1 1) into 1 5.935 * [backup-simplify]: Simplify (/ 1 1) into 1 5.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.935 * [taylor]: Taking taylor expansion of y in x 5.935 * [backup-simplify]: Simplify y into y 5.935 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.935 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.935 * [backup-simplify]: Simplify (+ 1 0) into 1 5.936 * [backup-simplify]: Simplify (sqrt 1) into 1 5.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.937 * [backup-simplify]: Simplify (+ 0 0) into 0 5.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.937 * [taylor]: Taking taylor expansion of x in x 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify 1 into 1 5.938 * [backup-simplify]: Simplify (* 1 1) into 1 5.938 * [backup-simplify]: Simplify (/ 1 1) into 1 5.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.938 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.938 * [taylor]: Taking taylor expansion of y in x 5.938 * [backup-simplify]: Simplify y into y 5.938 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.938 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.938 * [backup-simplify]: Simplify (+ 1 0) into 1 5.939 * [backup-simplify]: Simplify (sqrt 1) into 1 5.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.940 * [backup-simplify]: Simplify (+ 0 0) into 0 5.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.940 * [taylor]: Taking taylor expansion of 1 in y 5.940 * [backup-simplify]: Simplify 1 into 1 5.940 * [taylor]: Taking taylor expansion of 0 in y 5.940 * [backup-simplify]: Simplify 0 into 0 5.940 * [backup-simplify]: Simplify 1 into 1 5.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.942 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.942 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.942 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.942 * [taylor]: Taking taylor expansion of 1/2 in y 5.942 * [backup-simplify]: Simplify 1/2 into 1/2 5.942 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.943 * [taylor]: Taking taylor expansion of y in y 5.943 * [backup-simplify]: Simplify 0 into 0 5.943 * [backup-simplify]: Simplify 1 into 1 5.943 * [backup-simplify]: Simplify (* 1 1) into 1 5.943 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.944 * [backup-simplify]: Simplify 0 into 0 5.944 * [backup-simplify]: Simplify 0 into 0 5.944 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.945 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.946 * [backup-simplify]: Simplify (+ 0 0) into 0 5.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.946 * [taylor]: Taking taylor expansion of 0 in y 5.946 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 5.948 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.948 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.948 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.948 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.948 * [taylor]: Taking taylor expansion of x in y 5.948 * [backup-simplify]: Simplify x into x 5.948 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.948 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.948 * [taylor]: Taking taylor expansion of y in y 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify 1 into 1 5.948 * [backup-simplify]: Simplify (* 1 1) into 1 5.948 * [backup-simplify]: Simplify (/ 1 1) into 1 5.949 * [backup-simplify]: Simplify (+ 0 1) into 1 5.949 * [backup-simplify]: Simplify (sqrt 1) into 1 5.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.950 * [backup-simplify]: Simplify (+ 0 0) into 0 5.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.951 * [taylor]: Taking taylor expansion of x in x 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.951 * [backup-simplify]: Simplify (* 1 1) into 1 5.951 * [backup-simplify]: Simplify (/ 1 1) into 1 5.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.951 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.951 * [taylor]: Taking taylor expansion of y in x 5.951 * [backup-simplify]: Simplify y into y 5.951 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.951 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.952 * [backup-simplify]: Simplify (+ 1 0) into 1 5.952 * [backup-simplify]: Simplify (sqrt 1) into 1 5.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.953 * [backup-simplify]: Simplify (+ 0 0) into 0 5.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.953 * [taylor]: Taking taylor expansion of x in x 5.953 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify 1 into 1 5.954 * [backup-simplify]: Simplify (* 1 1) into 1 5.954 * [backup-simplify]: Simplify (/ 1 1) into 1 5.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.954 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.954 * [taylor]: Taking taylor expansion of y in x 5.954 * [backup-simplify]: Simplify y into y 5.954 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.954 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.955 * [backup-simplify]: Simplify (+ 1 0) into 1 5.955 * [backup-simplify]: Simplify (sqrt 1) into 1 5.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.956 * [backup-simplify]: Simplify (+ 0 0) into 0 5.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.956 * [taylor]: Taking taylor expansion of 1 in y 5.956 * [backup-simplify]: Simplify 1 into 1 5.956 * [taylor]: Taking taylor expansion of 0 in y 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 1 into 1 5.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.958 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.958 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.958 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.958 * [taylor]: Taking taylor expansion of 1/2 in y 5.958 * [backup-simplify]: Simplify 1/2 into 1/2 5.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.958 * [taylor]: Taking taylor expansion of y in y 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify 1 into 1 5.959 * [backup-simplify]: Simplify (* 1 1) into 1 5.959 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.960 * [backup-simplify]: Simplify 0 into 0 5.960 * [backup-simplify]: Simplify 0 into 0 5.960 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.961 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.962 * [backup-simplify]: Simplify (+ 0 0) into 0 5.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.962 * [taylor]: Taking taylor expansion of 0 in y 5.962 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 5.963 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 5.964 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 5.964 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 5.964 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 5.964 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.964 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.964 * [taylor]: Taking taylor expansion of x in y 5.964 * [backup-simplify]: Simplify x into x 5.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.964 * [taylor]: Taking taylor expansion of y in y 5.964 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify 1 into 1 5.964 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.964 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.964 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.964 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.964 * [backup-simplify]: Simplify (+ 0 0) into 0 5.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.964 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.964 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.965 * [taylor]: Taking taylor expansion of x in x 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 1 into 1 5.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.965 * [taylor]: Taking taylor expansion of y in x 5.965 * [backup-simplify]: Simplify y into y 5.965 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.965 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.965 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.965 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.965 * [backup-simplify]: Simplify (+ 0 0) into 0 5.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.965 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 5.965 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.965 * [taylor]: Taking taylor expansion of x in x 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 1 into 1 5.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.965 * [taylor]: Taking taylor expansion of y in x 5.965 * [backup-simplify]: Simplify y into y 5.965 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.966 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.966 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.966 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.966 * [backup-simplify]: Simplify (+ 0 0) into 0 5.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.966 * [taylor]: Taking taylor expansion of y in y 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify 1 into 1 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [taylor]: Taking taylor expansion of 0 in y 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify 1 into 1 5.967 * [backup-simplify]: Simplify (* 1 1) into 1 5.967 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.967 * [backup-simplify]: Simplify (+ 1 0) into 1 5.968 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 5.968 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.968 * [taylor]: Taking taylor expansion of 1/2 in y 5.968 * [backup-simplify]: Simplify 1/2 into 1/2 5.968 * [taylor]: Taking taylor expansion of y in y 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 1 into 1 5.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.969 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.970 * [backup-simplify]: Simplify (+ 0 0) into 0 5.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 5.970 * [taylor]: Taking taylor expansion of 0 in y 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 5.971 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.971 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.971 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.971 * [taylor]: Taking taylor expansion of x in y 5.971 * [backup-simplify]: Simplify x into x 5.971 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.971 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.971 * [taylor]: Taking taylor expansion of y in y 5.971 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify 1 into 1 5.971 * [backup-simplify]: Simplify (* 1 1) into 1 5.972 * [backup-simplify]: Simplify (/ 1 1) into 1 5.972 * [backup-simplify]: Simplify (+ 0 1) into 1 5.972 * [backup-simplify]: Simplify (sqrt 1) into 1 5.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.973 * [backup-simplify]: Simplify (+ 0 0) into 0 5.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.974 * [taylor]: Taking taylor expansion of x in x 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify 1 into 1 5.974 * [backup-simplify]: Simplify (* 1 1) into 1 5.974 * [backup-simplify]: Simplify (/ 1 1) into 1 5.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.975 * [taylor]: Taking taylor expansion of y in x 5.975 * [backup-simplify]: Simplify y into y 5.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.975 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.975 * [backup-simplify]: Simplify (+ 1 0) into 1 5.976 * [backup-simplify]: Simplify (sqrt 1) into 1 5.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.977 * [backup-simplify]: Simplify (+ 0 0) into 0 5.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.978 * [taylor]: Taking taylor expansion of x in x 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 1 into 1 5.979 * [backup-simplify]: Simplify (* 1 1) into 1 5.979 * [backup-simplify]: Simplify (/ 1 1) into 1 5.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.979 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.979 * [taylor]: Taking taylor expansion of y in x 5.979 * [backup-simplify]: Simplify y into y 5.979 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.979 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.980 * [backup-simplify]: Simplify (+ 1 0) into 1 5.980 * [backup-simplify]: Simplify (sqrt 1) into 1 5.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.982 * [backup-simplify]: Simplify (+ 0 0) into 0 5.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.983 * [taylor]: Taking taylor expansion of 1 in y 5.983 * [backup-simplify]: Simplify 1 into 1 5.983 * [taylor]: Taking taylor expansion of 0 in y 5.983 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify 1 into 1 5.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.985 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.986 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.986 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.986 * [taylor]: Taking taylor expansion of 1/2 in y 5.986 * [backup-simplify]: Simplify 1/2 into 1/2 5.986 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.986 * [taylor]: Taking taylor expansion of y in y 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (* 1 1) into 1 5.987 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.991 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.992 * [backup-simplify]: Simplify (+ 0 0) into 0 5.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.992 * [taylor]: Taking taylor expansion of 0 in y 5.992 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 5.995 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 5.995 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 5.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.995 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.995 * [taylor]: Taking taylor expansion of x in y 5.995 * [backup-simplify]: Simplify x into x 5.995 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.996 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.996 * [taylor]: Taking taylor expansion of y in y 5.996 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify 1 into 1 5.996 * [backup-simplify]: Simplify (* 1 1) into 1 5.996 * [backup-simplify]: Simplify (/ 1 1) into 1 5.997 * [backup-simplify]: Simplify (+ 0 1) into 1 5.997 * [backup-simplify]: Simplify (sqrt 1) into 1 5.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.999 * [backup-simplify]: Simplify (+ 0 0) into 0 6.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.000 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.000 * [taylor]: Taking taylor expansion of x in x 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.001 * [backup-simplify]: Simplify (* 1 1) into 1 6.001 * [backup-simplify]: Simplify (/ 1 1) into 1 6.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.001 * [taylor]: Taking taylor expansion of y in x 6.001 * [backup-simplify]: Simplify y into y 6.001 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.001 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.002 * [backup-simplify]: Simplify (+ 1 0) into 1 6.002 * [backup-simplify]: Simplify (sqrt 1) into 1 6.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.004 * [backup-simplify]: Simplify (+ 0 0) into 0 6.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.005 * [taylor]: Taking taylor expansion of x in x 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify 1 into 1 6.005 * [backup-simplify]: Simplify (* 1 1) into 1 6.006 * [backup-simplify]: Simplify (/ 1 1) into 1 6.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.006 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.006 * [taylor]: Taking taylor expansion of y in x 6.006 * [backup-simplify]: Simplify y into y 6.006 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.006 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.007 * [backup-simplify]: Simplify (+ 1 0) into 1 6.007 * [backup-simplify]: Simplify (sqrt 1) into 1 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.009 * [backup-simplify]: Simplify (+ 0 0) into 0 6.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.010 * [taylor]: Taking taylor expansion of 1 in y 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [taylor]: Taking taylor expansion of 0 in y 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 1 into 1 6.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.012 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.013 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 6.013 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.013 * [taylor]: Taking taylor expansion of 1/2 in y 6.013 * [backup-simplify]: Simplify 1/2 into 1/2 6.013 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.013 * [taylor]: Taking taylor expansion of y in y 6.013 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify 1 into 1 6.014 * [backup-simplify]: Simplify (* 1 1) into 1 6.014 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.018 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.019 * [backup-simplify]: Simplify (+ 0 0) into 0 6.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 6.019 * [taylor]: Taking taylor expansion of 0 in y 6.019 * [backup-simplify]: Simplify 0 into 0 6.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 6.022 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 6.022 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 6.022 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 6.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 6.022 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.022 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.022 * [taylor]: Taking taylor expansion of x in y 6.022 * [backup-simplify]: Simplify x into x 6.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.022 * [taylor]: Taking taylor expansion of y in y 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 1 into 1 6.022 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.022 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.023 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.023 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.023 * [backup-simplify]: Simplify (+ 0 0) into 0 6.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.023 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.023 * [taylor]: Taking taylor expansion of x in x 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 1 into 1 6.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.024 * [taylor]: Taking taylor expansion of y in x 6.024 * [backup-simplify]: Simplify y into y 6.024 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.024 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.024 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 6.024 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.024 * [backup-simplify]: Simplify (+ 0 0) into 0 6.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 6.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.025 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.025 * [taylor]: Taking taylor expansion of x in x 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 1 into 1 6.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.025 * [taylor]: Taking taylor expansion of y in x 6.025 * [backup-simplify]: Simplify y into y 6.025 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.025 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.025 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 6.025 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.026 * [backup-simplify]: Simplify (+ 0 0) into 0 6.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 6.026 * [taylor]: Taking taylor expansion of y in y 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 1 into 1 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [taylor]: Taking taylor expansion of 0 in y 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 1 into 1 6.026 * [backup-simplify]: Simplify (* 1 1) into 1 6.027 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.027 * [backup-simplify]: Simplify (+ 1 0) into 1 6.028 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 6.028 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 6.028 * [taylor]: Taking taylor expansion of 1/2 in y 6.028 * [backup-simplify]: Simplify 1/2 into 1/2 6.028 * [taylor]: Taking taylor expansion of y in y 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.029 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.031 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.031 * [backup-simplify]: Simplify (+ 0 0) into 0 6.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 6.032 * [taylor]: Taking taylor expansion of 0 in y 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 6.033 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 6.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.033 * [taylor]: Taking taylor expansion of x in y 6.033 * [backup-simplify]: Simplify x into x 6.033 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.034 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.034 * [taylor]: Taking taylor expansion of y in y 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [backup-simplify]: Simplify (* 1 1) into 1 6.035 * [backup-simplify]: Simplify (/ 1 1) into 1 6.035 * [backup-simplify]: Simplify (+ 0 1) into 1 6.035 * [backup-simplify]: Simplify (sqrt 1) into 1 6.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.037 * [backup-simplify]: Simplify (+ 0 0) into 0 6.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.038 * [taylor]: Taking taylor expansion of x in x 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.039 * [backup-simplify]: Simplify (* 1 1) into 1 6.039 * [backup-simplify]: Simplify (/ 1 1) into 1 6.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.039 * [taylor]: Taking taylor expansion of y in x 6.039 * [backup-simplify]: Simplify y into y 6.039 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.040 * [backup-simplify]: Simplify (+ 1 0) into 1 6.040 * [backup-simplify]: Simplify (sqrt 1) into 1 6.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.042 * [backup-simplify]: Simplify (+ 0 0) into 0 6.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.043 * [taylor]: Taking taylor expansion of x in x 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (* 1 1) into 1 6.044 * [backup-simplify]: Simplify (/ 1 1) into 1 6.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.044 * [taylor]: Taking taylor expansion of y in x 6.044 * [backup-simplify]: Simplify y into y 6.044 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.045 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.045 * [backup-simplify]: Simplify (+ 1 0) into 1 6.051 * [backup-simplify]: Simplify (sqrt 1) into 1 6.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.054 * [taylor]: Taking taylor expansion of 1 in y 6.054 * [backup-simplify]: Simplify 1 into 1 6.054 * [taylor]: Taking taylor expansion of 0 in y 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 1 into 1 6.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.056 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.058 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 6.058 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.058 * [taylor]: Taking taylor expansion of 1/2 in y 6.058 * [backup-simplify]: Simplify 1/2 into 1/2 6.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.058 * [taylor]: Taking taylor expansion of y in y 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 1 into 1 6.058 * [backup-simplify]: Simplify (* 1 1) into 1 6.059 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.060 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.062 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.063 * [backup-simplify]: Simplify (+ 0 0) into 0 6.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 6.064 * [taylor]: Taking taylor expansion of 0 in y 6.064 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 6.067 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 6.067 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.067 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.067 * [taylor]: Taking taylor expansion of x in y 6.067 * [backup-simplify]: Simplify x into x 6.067 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.067 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.067 * [taylor]: Taking taylor expansion of y in y 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 1 into 1 6.068 * [backup-simplify]: Simplify (* 1 1) into 1 6.068 * [backup-simplify]: Simplify (/ 1 1) into 1 6.068 * [backup-simplify]: Simplify (+ 0 1) into 1 6.069 * [backup-simplify]: Simplify (sqrt 1) into 1 6.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.071 * [backup-simplify]: Simplify (+ 0 0) into 0 6.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.071 * [taylor]: Taking taylor expansion of x in x 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 1 into 1 6.072 * [backup-simplify]: Simplify (* 1 1) into 1 6.072 * [backup-simplify]: Simplify (/ 1 1) into 1 6.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.072 * [taylor]: Taking taylor expansion of y in x 6.072 * [backup-simplify]: Simplify y into y 6.072 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.073 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.073 * [backup-simplify]: Simplify (+ 1 0) into 1 6.073 * [backup-simplify]: Simplify (sqrt 1) into 1 6.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.075 * [backup-simplify]: Simplify (+ 0 0) into 0 6.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.076 * [taylor]: Taking taylor expansion of x in x 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.077 * [backup-simplify]: Simplify (/ 1 1) into 1 6.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.077 * [taylor]: Taking taylor expansion of y in x 6.077 * [backup-simplify]: Simplify y into y 6.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.078 * [backup-simplify]: Simplify (+ 1 0) into 1 6.078 * [backup-simplify]: Simplify (sqrt 1) into 1 6.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.080 * [backup-simplify]: Simplify (+ 0 0) into 0 6.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.081 * [taylor]: Taking taylor expansion of 1 in y 6.081 * [backup-simplify]: Simplify 1 into 1 6.081 * [taylor]: Taking taylor expansion of 0 in y 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify 1 into 1 6.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.083 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.084 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 6.084 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.084 * [taylor]: Taking taylor expansion of 1/2 in y 6.084 * [backup-simplify]: Simplify 1/2 into 1/2 6.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.085 * [taylor]: Taking taylor expansion of y in y 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.085 * [backup-simplify]: Simplify (* 1 1) into 1 6.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify 0 into 0 6.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.090 * [backup-simplify]: Simplify (+ 0 0) into 0 6.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 6.091 * [taylor]: Taking taylor expansion of 0 in y 6.091 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.092 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 6.093 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 6.093 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 6.093 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 6.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 6.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.093 * [taylor]: Taking taylor expansion of x in y 6.093 * [backup-simplify]: Simplify x into x 6.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.093 * [taylor]: Taking taylor expansion of y in y 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.094 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.094 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.094 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.094 * [backup-simplify]: Simplify (+ 0 0) into 0 6.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.094 * [taylor]: Taking taylor expansion of x in x 6.095 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify 1 into 1 6.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.095 * [taylor]: Taking taylor expansion of y in x 6.095 * [backup-simplify]: Simplify y into y 6.095 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.095 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.095 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 6.095 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.095 * [backup-simplify]: Simplify (+ 0 0) into 0 6.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 6.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 6.096 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.096 * [taylor]: Taking taylor expansion of x in x 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 1 into 1 6.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.096 * [taylor]: Taking taylor expansion of y in x 6.096 * [backup-simplify]: Simplify y into y 6.096 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.096 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.096 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 6.096 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.097 * [backup-simplify]: Simplify (+ 0 0) into 0 6.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 6.097 * [taylor]: Taking taylor expansion of y in y 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify 1 into 1 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [taylor]: Taking taylor expansion of 0 in y 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify 1 into 1 6.097 * [backup-simplify]: Simplify (* 1 1) into 1 6.098 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.098 * [backup-simplify]: Simplify (+ 1 0) into 1 6.099 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 6.099 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 6.099 * [taylor]: Taking taylor expansion of 1/2 in y 6.099 * [backup-simplify]: Simplify 1/2 into 1/2 6.099 * [taylor]: Taking taylor expansion of y in y 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 1 into 1 6.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.102 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.102 * [backup-simplify]: Simplify (+ 0 0) into 0 6.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 6.103 * [taylor]: Taking taylor expansion of 0 in y 6.103 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 6.104 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 6.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.104 * [taylor]: Taking taylor expansion of x in y 6.104 * [backup-simplify]: Simplify x into x 6.105 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.105 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.105 * [taylor]: Taking taylor expansion of y in y 6.105 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify 1 into 1 6.106 * [backup-simplify]: Simplify (* 1 1) into 1 6.106 * [backup-simplify]: Simplify (/ 1 1) into 1 6.107 * [backup-simplify]: Simplify (+ 0 1) into 1 6.107 * [backup-simplify]: Simplify (sqrt 1) into 1 6.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.109 * [backup-simplify]: Simplify (+ 0 0) into 0 6.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.110 * [taylor]: Taking taylor expansion of x in x 6.110 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify 1 into 1 6.110 * [backup-simplify]: Simplify (* 1 1) into 1 6.111 * [backup-simplify]: Simplify (/ 1 1) into 1 6.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.111 * [taylor]: Taking taylor expansion of y in x 6.111 * [backup-simplify]: Simplify y into y 6.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.112 * [backup-simplify]: Simplify (+ 1 0) into 1 6.112 * [backup-simplify]: Simplify (sqrt 1) into 1 6.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.114 * [backup-simplify]: Simplify (+ 0 0) into 0 6.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.115 * [taylor]: Taking taylor expansion of x in x 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 1 into 1 6.115 * [backup-simplify]: Simplify (* 1 1) into 1 6.116 * [backup-simplify]: Simplify (/ 1 1) into 1 6.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.116 * [taylor]: Taking taylor expansion of y in x 6.116 * [backup-simplify]: Simplify y into y 6.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.116 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.117 * [backup-simplify]: Simplify (+ 1 0) into 1 6.117 * [backup-simplify]: Simplify (sqrt 1) into 1 6.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.119 * [backup-simplify]: Simplify (+ 0 0) into 0 6.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.120 * [taylor]: Taking taylor expansion of 1 in y 6.120 * [backup-simplify]: Simplify 1 into 1 6.120 * [taylor]: Taking taylor expansion of 0 in y 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.122 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.124 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 6.124 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.124 * [taylor]: Taking taylor expansion of 1/2 in y 6.124 * [backup-simplify]: Simplify 1/2 into 1/2 6.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.124 * [taylor]: Taking taylor expansion of y in y 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 1 into 1 6.124 * [backup-simplify]: Simplify (* 1 1) into 1 6.125 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.126 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.130 * [backup-simplify]: Simplify (+ 0 0) into 0 6.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 6.130 * [taylor]: Taking taylor expansion of 0 in y 6.130 * [backup-simplify]: Simplify 0 into 0 6.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 6.133 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 6.133 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.133 * [taylor]: Taking taylor expansion of x in y 6.133 * [backup-simplify]: Simplify x into x 6.134 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.134 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.134 * [taylor]: Taking taylor expansion of y in y 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 1 into 1 6.134 * [backup-simplify]: Simplify (* 1 1) into 1 6.135 * [backup-simplify]: Simplify (/ 1 1) into 1 6.135 * [backup-simplify]: Simplify (+ 0 1) into 1 6.136 * [backup-simplify]: Simplify (sqrt 1) into 1 6.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.138 * [backup-simplify]: Simplify (+ 0 0) into 0 6.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.139 * [taylor]: Taking taylor expansion of x in x 6.139 * [backup-simplify]: Simplify 0 into 0 6.139 * [backup-simplify]: Simplify 1 into 1 6.139 * [backup-simplify]: Simplify (* 1 1) into 1 6.140 * [backup-simplify]: Simplify (/ 1 1) into 1 6.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.140 * [taylor]: Taking taylor expansion of y in x 6.140 * [backup-simplify]: Simplify y into y 6.140 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.140 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.141 * [backup-simplify]: Simplify (+ 1 0) into 1 6.141 * [backup-simplify]: Simplify (sqrt 1) into 1 6.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.144 * [taylor]: Taking taylor expansion of x in x 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [backup-simplify]: Simplify (* 1 1) into 1 6.145 * [backup-simplify]: Simplify (/ 1 1) into 1 6.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.145 * [taylor]: Taking taylor expansion of y in x 6.145 * [backup-simplify]: Simplify y into y 6.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.145 * [backup-simplify]: Simplify (+ 1 0) into 1 6.146 * [backup-simplify]: Simplify (sqrt 1) into 1 6.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.148 * [backup-simplify]: Simplify (+ 0 0) into 0 6.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.148 * [taylor]: Taking taylor expansion of 1 in y 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [taylor]: Taking taylor expansion of 0 in y 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.151 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.152 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 6.152 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 6.152 * [taylor]: Taking taylor expansion of 1/2 in y 6.152 * [backup-simplify]: Simplify 1/2 into 1/2 6.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.152 * [taylor]: Taking taylor expansion of y in y 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify 1 into 1 6.153 * [backup-simplify]: Simplify (* 1 1) into 1 6.153 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.157 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.158 * [backup-simplify]: Simplify (+ 0 0) into 0 6.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 6.158 * [taylor]: Taking taylor expansion of 0 in y 6.158 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 6.161 * * * [progress]: simplifying candidates 6.162 * [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)))) (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)))) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 6.164 * * [simplify]: Extracting # 0 : cost 0 6.164 * * [simplify]: Extracting # 1 : cost 0 6.164 * * [simplify]: Extracting # 2 : cost 0 6.164 * * [simplify]: Extracting # 3 : cost 0 6.165 * * [simplify]: Extracting # 4 : cost 0 6.165 * * [simplify]: Extracting # 5 : cost 0 6.165 * * [simplify]: Extracting # 6 : cost 0 6.165 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 6.181 * * [simplify]: Extracting # 0 : cost 0 6.182 * * [simplify]: Extracting # 1 : cost 0 6.182 * * [simplify]: Extracting # 2 : cost 0 6.182 * * [simplify]: Extracting # 3 : cost 0 6.182 * * [simplify]: Extracting # 4 : cost 0 6.183 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 6.231 * * [simplify]: Extracting # 0 : cost 0 6.231 * * [simplify]: Extracting # 1 : cost 0 6.232 * * [simplify]: Extracting # 2 : cost 0 6.232 * * [simplify]: Extracting # 3 : cost 0 6.232 * * [simplify]: Extracting # 4 : cost 0 6.233 * * [simplify]: iteration 2 : 205 enodes (cost 680 ) 6.323 * * [simplify]: Extracting # 0 : cost 0 6.324 * * [simplify]: Extracting # 1 : cost 0 6.324 * * [simplify]: Extracting # 2 : cost 0 6.325 * * [simplify]: Extracting # 3 : cost 0 6.326 * * [simplify]: Extracting # 4 : cost 0 6.327 * * [simplify]: iteration 3 : 444 enodes (cost 656 ) 6.590 * * [simplify]: Extracting # 0 : cost 0 6.592 * * [simplify]: Extracting # 1 : cost 0 6.594 * * [simplify]: Extracting # 2 : cost 0 6.596 * * [simplify]: Extracting # 3 : cost 0 6.598 * * [simplify]: iteration 4 : 1114 enodes (cost 656 ) 7.910 * * [simplify]: Extracting # 0 : cost 0 7.922 * * [simplify]: Extracting # 1 : cost 0 7.927 * * [simplify]: Extracting # 2 : cost 0 7.931 * * [simplify]: Extracting # 3 : cost 0 7.935 * * [simplify]: Extracting # 4 : cost 0 7.939 * * [simplify]: iteration 5 : 3182 enodes (cost 656 ) 9.464 * * [simplify]: Extracting # 0 : cost 0 9.474 * * [simplify]: Extracting # 1 : cost 0 9.483 * * [simplify]: Extracting # 2 : cost 0 9.491 * * [simplify]: Extracting # 3 : cost 0 9.500 * * [simplify]: Extracting # 4 : cost 0 9.508 * * [simplify]: iteration done: 5001 enodes (cost 656 ) 9.509 * [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 (- (* 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)))) (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 (- (* 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)))) (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 (- (* 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)))) (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 (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (- x) y x (- x) y x (- x) y x (- x) 9.510 * * * [progress]: adding candidates to table 9.907 * * [progress]: iteration 4 / 4 9.907 * * * [progress]: picking best candidate 9.912 * * * * [pick]: Picked # 9.912 * * * [progress]: localizing error 9.922 * * * [progress]: generating rewritten candidates 9.922 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 9.940 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 9.957 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 9.973 * * * [progress]: generating series expansions 9.973 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 9.973 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 9.973 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 9.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 9.973 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 9.973 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.973 * [taylor]: Taking taylor expansion of x in y 9.973 * [backup-simplify]: Simplify x into x 9.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.973 * [taylor]: Taking taylor expansion of y in y 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify 1 into 1 9.973 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.974 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 9.974 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 9.974 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 9.975 * [backup-simplify]: Simplify (+ 0 0) into 0 9.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 9.975 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 9.975 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.975 * [taylor]: Taking taylor expansion of x in x 9.975 * [backup-simplify]: Simplify 0 into 0 9.975 * [backup-simplify]: Simplify 1 into 1 9.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.975 * [taylor]: Taking taylor expansion of y in x 9.975 * [backup-simplify]: Simplify y into y 9.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.975 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 9.975 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 9.976 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.976 * [backup-simplify]: Simplify (+ 0 0) into 0 9.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 9.976 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 9.976 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 9.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.976 * [taylor]: Taking taylor expansion of x in x 9.976 * [backup-simplify]: Simplify 0 into 0 9.976 * [backup-simplify]: Simplify 1 into 1 9.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.976 * [taylor]: Taking taylor expansion of y in x 9.976 * [backup-simplify]: Simplify y into y 9.976 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.977 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 9.977 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 9.977 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.977 * [backup-simplify]: Simplify (+ 0 0) into 0 9.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 9.977 * [taylor]: Taking taylor expansion of y in y 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 1 into 1 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [taylor]: Taking taylor expansion of 0 in y 9.978 * [backup-simplify]: Simplify 0 into 0 9.978 * [backup-simplify]: Simplify 0 into 0 9.978 * [backup-simplify]: Simplify 1 into 1 9.978 * [backup-simplify]: Simplify (* 1 1) into 1 9.978 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.979 * [backup-simplify]: Simplify (+ 1 0) into 1 9.980 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 9.980 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 9.980 * [taylor]: Taking taylor expansion of 1/2 in y 9.980 * [backup-simplify]: Simplify 1/2 into 1/2 9.980 * [taylor]: Taking taylor expansion of y in y 9.980 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify 1 into 1 9.980 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.981 * [backup-simplify]: Simplify 0 into 0 9.981 * [backup-simplify]: Simplify 0 into 0 9.981 * [backup-simplify]: Simplify 0 into 0 9.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.982 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.983 * [backup-simplify]: Simplify (+ 0 0) into 0 9.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 9.983 * [taylor]: Taking taylor expansion of 0 in y 9.983 * [backup-simplify]: Simplify 0 into 0 9.983 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 9.984 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 9.984 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 9.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 9.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.984 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.984 * [taylor]: Taking taylor expansion of x in y 9.984 * [backup-simplify]: Simplify x into x 9.984 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.985 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.985 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.985 * [taylor]: Taking taylor expansion of y in y 9.985 * [backup-simplify]: Simplify 0 into 0 9.985 * [backup-simplify]: Simplify 1 into 1 9.985 * [backup-simplify]: Simplify (* 1 1) into 1 9.985 * [backup-simplify]: Simplify (/ 1 1) into 1 9.986 * [backup-simplify]: Simplify (+ 0 1) into 1 9.986 * [backup-simplify]: Simplify (sqrt 1) into 1 9.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.988 * [backup-simplify]: Simplify (+ 0 0) into 0 9.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.989 * [taylor]: Taking taylor expansion of x in x 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify 1 into 1 9.989 * [backup-simplify]: Simplify (* 1 1) into 1 9.989 * [backup-simplify]: Simplify (/ 1 1) into 1 9.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.989 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.989 * [taylor]: Taking taylor expansion of y in x 9.989 * [backup-simplify]: Simplify y into y 9.989 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.990 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.990 * [backup-simplify]: Simplify (+ 1 0) into 1 9.990 * [backup-simplify]: Simplify (sqrt 1) into 1 9.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.992 * [backup-simplify]: Simplify (+ 0 0) into 0 9.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.993 * [taylor]: Taking taylor expansion of x in x 9.993 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify 1 into 1 9.993 * [backup-simplify]: Simplify (* 1 1) into 1 9.993 * [backup-simplify]: Simplify (/ 1 1) into 1 9.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.993 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.993 * [taylor]: Taking taylor expansion of y in x 9.994 * [backup-simplify]: Simplify y into y 9.994 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.994 * [backup-simplify]: Simplify (+ 1 0) into 1 9.995 * [backup-simplify]: Simplify (sqrt 1) into 1 9.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.997 * [backup-simplify]: Simplify (+ 0 0) into 0 9.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.997 * [taylor]: Taking taylor expansion of 1 in y 9.997 * [backup-simplify]: Simplify 1 into 1 9.998 * [taylor]: Taking taylor expansion of 0 in y 9.998 * [backup-simplify]: Simplify 0 into 0 9.998 * [backup-simplify]: Simplify 1 into 1 9.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 10.001 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 10.001 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 10.001 * [taylor]: Taking taylor expansion of 1/2 in y 10.001 * [backup-simplify]: Simplify 1/2 into 1/2 10.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.001 * [taylor]: Taking taylor expansion of y in y 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 1 into 1 10.001 * [backup-simplify]: Simplify (* 1 1) into 1 10.001 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.004 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 10.005 * [backup-simplify]: Simplify (+ 0 0) into 0 10.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 10.006 * [taylor]: Taking taylor expansion of 0 in y 10.006 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 10.008 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 10.008 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 10.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 10.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 10.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 10.008 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.008 * [taylor]: Taking taylor expansion of x in y 10.008 * [backup-simplify]: Simplify x into x 10.008 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.009 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.009 * [taylor]: Taking taylor expansion of y in y 10.009 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify 1 into 1 10.009 * [backup-simplify]: Simplify (* 1 1) into 1 10.009 * [backup-simplify]: Simplify (/ 1 1) into 1 10.010 * [backup-simplify]: Simplify (+ 0 1) into 1 10.010 * [backup-simplify]: Simplify (sqrt 1) into 1 10.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.012 * [backup-simplify]: Simplify (+ 0 0) into 0 10.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 10.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 10.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.013 * [taylor]: Taking taylor expansion of x in x 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 1 into 1 10.013 * [backup-simplify]: Simplify (* 1 1) into 1 10.013 * [backup-simplify]: Simplify (/ 1 1) into 1 10.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.013 * [taylor]: Taking taylor expansion of y in x 10.013 * [backup-simplify]: Simplify y into y 10.013 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.014 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.014 * [backup-simplify]: Simplify (+ 1 0) into 1 10.014 * [backup-simplify]: Simplify (sqrt 1) into 1 10.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.016 * [backup-simplify]: Simplify (+ 0 0) into 0 10.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 10.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 10.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.017 * [taylor]: Taking taylor expansion of x in x 10.017 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify 1 into 1 10.017 * [backup-simplify]: Simplify (* 1 1) into 1 10.017 * [backup-simplify]: Simplify (/ 1 1) into 1 10.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.017 * [taylor]: Taking taylor expansion of y in x 10.017 * [backup-simplify]: Simplify y into y 10.018 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.018 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.018 * [backup-simplify]: Simplify (+ 1 0) into 1 10.018 * [backup-simplify]: Simplify (sqrt 1) into 1 10.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.020 * [backup-simplify]: Simplify (+ 0 0) into 0 10.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.021 * [taylor]: Taking taylor expansion of 1 in y 10.021 * [backup-simplify]: Simplify 1 into 1 10.021 * [taylor]: Taking taylor expansion of 0 in y 10.021 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify 1 into 1 10.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.023 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 10.024 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 10.024 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 10.024 * [taylor]: Taking taylor expansion of 1/2 in y 10.024 * [backup-simplify]: Simplify 1/2 into 1/2 10.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.024 * [taylor]: Taking taylor expansion of y in y 10.024 * [backup-simplify]: Simplify 0 into 0 10.024 * [backup-simplify]: Simplify 1 into 1 10.024 * [backup-simplify]: Simplify (* 1 1) into 1 10.025 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.026 * [backup-simplify]: Simplify 0 into 0 10.026 * [backup-simplify]: Simplify 0 into 0 10.026 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.028 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 10.028 * [backup-simplify]: Simplify (+ 0 0) into 0 10.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 10.029 * [taylor]: Taking taylor expansion of 0 in y 10.029 * [backup-simplify]: Simplify 0 into 0 10.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.030 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 10.030 * * * * [progress]: [ 2 / 3 ] generating series at (2) 10.030 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2))) 10.031 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 10.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 10.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 10.031 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.031 * [taylor]: Taking taylor expansion of x in y 10.031 * [backup-simplify]: Simplify x into x 10.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.031 * [taylor]: Taking taylor expansion of y in y 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.031 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 10.031 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 10.031 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 10.031 * [backup-simplify]: Simplify (+ 0 0) into 0 10.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 10.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 10.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 10.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.032 * [taylor]: Taking taylor expansion of x in x 10.032 * [backup-simplify]: Simplify 0 into 0 10.032 * [backup-simplify]: Simplify 1 into 1 10.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.032 * [taylor]: Taking taylor expansion of y in x 10.032 * [backup-simplify]: Simplify y into y 10.032 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.032 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 10.032 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 10.032 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.033 * [backup-simplify]: Simplify (+ 0 0) into 0 10.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 10.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 10.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 10.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.033 * [taylor]: Taking taylor expansion of x in x 10.033 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify 1 into 1 10.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.033 * [taylor]: Taking taylor expansion of y in x 10.033 * [backup-simplify]: Simplify y into y 10.033 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.033 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 10.033 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 10.033 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.034 * [backup-simplify]: Simplify (+ 0 0) into 0 10.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 10.034 * [taylor]: Taking taylor expansion of y in y 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify 1 into 1 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [taylor]: Taking taylor expansion of 0 in y 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify 1 into 1 10.035 * [backup-simplify]: Simplify (* 1 1) into 1 10.035 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 10.035 * [backup-simplify]: Simplify (+ 1 0) into 1 10.036 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 10.036 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 10.036 * [taylor]: Taking taylor expansion of 1/2 in y 10.036 * [backup-simplify]: Simplify 1/2 into 1/2 10.036 * [taylor]: Taking taylor expansion of y in y 10.036 * [backup-simplify]: Simplify 0 into 0 10.036 * [backup-simplify]: Simplify 1 into 1 10.037 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.039 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 10.039 * [backup-simplify]: Simplify (+ 0 0) into 0 10.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 10.040 * [taylor]: Taking taylor expansion of 0 in y 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.040 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 10.041 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 10.041 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 10.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 10.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 10.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 10.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.041 * [taylor]: Taking taylor expansion of x in y 10.041 * [backup-simplify]: Simplify x into x 10.041 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.041 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.042 * [taylor]: Taking taylor expansion of y in y 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [backup-simplify]: Simplify (* 1 1) into 1 10.042 * [backup-simplify]: Simplify (/ 1 1) into 1 10.043 * [backup-simplify]: Simplify (+ 0 1) into 1 10.043 * [backup-simplify]: Simplify (sqrt 1) into 1 10.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.044 * [backup-simplify]: Simplify (+ 0 0) into 0 10.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 10.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 10.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.045 * [taylor]: Taking taylor expansion of x in x 10.045 * [backup-simplify]: Simplify 0 into 0 10.045 * [backup-simplify]: Simplify 1 into 1 10.046 * [backup-simplify]: Simplify (* 1 1) into 1 10.046 * [backup-simplify]: Simplify (/ 1 1) into 1 10.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.046 * [taylor]: Taking taylor expansion of y in x 10.046 * [backup-simplify]: Simplify y into y 10.046 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.046 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.047 * [backup-simplify]: Simplify (+ 1 0) into 1 10.047 * [backup-simplify]: Simplify (sqrt 1) into 1 10.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.048 * [backup-simplify]: Simplify (+ 0 0) into 0 10.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 10.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 10.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.049 * [taylor]: Taking taylor expansion of x in x 10.049 * [backup-simplify]: Simplify 0 into 0 10.049 * [backup-simplify]: Simplify 1 into 1 10.050 * [backup-simplify]: Simplify (* 1 1) into 1 10.050 * [backup-simplify]: Simplify (/ 1 1) into 1 10.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.050 * [taylor]: Taking taylor expansion of y in x 10.050 * [backup-simplify]: Simplify y into y 10.050 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.051 * [backup-simplify]: Simplify (+ 1 0) into 1 10.051 * [backup-simplify]: Simplify (sqrt 1) into 1 10.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.052 * [backup-simplify]: Simplify (+ 0 0) into 0 10.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.053 * [taylor]: Taking taylor expansion of 1 in y 10.053 * [backup-simplify]: Simplify 1 into 1 10.053 * [taylor]: Taking taylor expansion of 0 in y 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 1 into 1 10.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.055 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 10.061 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 10.061 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 10.062 * [taylor]: Taking taylor expansion of 1/2 in y 10.062 * [backup-simplify]: Simplify 1/2 into 1/2 10.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.062 * [taylor]: Taking taylor expansion of y in y 10.062 * [backup-simplify]: Simplify 0 into 0 10.062 * [backup-simplify]: Simplify 1 into 1 10.062 * [backup-simplify]: Simplify (* 1 1) into 1 10.063 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.064 * [backup-simplify]: Simplify 0 into 0 10.064 * [backup-simplify]: Simplify 0 into 0 10.064 * [backup-simplify]: Simplify 0 into 0 10.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.066 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 10.067 * [backup-simplify]: Simplify (+ 0 0) into 0 10.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 10.067 * [taylor]: Taking taylor expansion of 0 in y 10.067 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 10.069 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 10.070 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 10.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 10.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 10.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 10.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.070 * [taylor]: Taking taylor expansion of x in y 10.070 * [backup-simplify]: Simplify x into x 10.070 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.070 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.070 * [taylor]: Taking taylor expansion of y in y 10.070 * [backup-simplify]: Simplify 0 into 0 10.070 * [backup-simplify]: Simplify 1 into 1 10.070 * [backup-simplify]: Simplify (* 1 1) into 1 10.071 * [backup-simplify]: Simplify (/ 1 1) into 1 10.071 * [backup-simplify]: Simplify (+ 0 1) into 1 10.071 * [backup-simplify]: Simplify (sqrt 1) into 1 10.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.073 * [backup-simplify]: Simplify (+ 0 0) into 0 10.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 10.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 10.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.074 * [taylor]: Taking taylor expansion of x in x 10.074 * [backup-simplify]: Simplify 0 into 0 10.074 * [backup-simplify]: Simplify 1 into 1 10.074 * [backup-simplify]: Simplify (* 1 1) into 1 10.074 * [backup-simplify]: Simplify (/ 1 1) into 1 10.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.074 * [taylor]: Taking taylor expansion of y in x 10.074 * [backup-simplify]: Simplify y into y 10.075 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.075 * [backup-simplify]: Simplify (+ 1 0) into 1 10.075 * [backup-simplify]: Simplify (sqrt 1) into 1 10.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.077 * [backup-simplify]: Simplify (+ 0 0) into 0 10.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 10.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 10.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.078 * [taylor]: Taking taylor expansion of x in x 10.078 * [backup-simplify]: Simplify 0 into 0 10.078 * [backup-simplify]: Simplify 1 into 1 10.078 * [backup-simplify]: Simplify (* 1 1) into 1 10.078 * [backup-simplify]: Simplify (/ 1 1) into 1 10.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.079 * [taylor]: Taking taylor expansion of y in x 10.079 * [backup-simplify]: Simplify y into y 10.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.079 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.079 * [backup-simplify]: Simplify (+ 1 0) into 1 10.080 * [backup-simplify]: Simplify (sqrt 1) into 1 10.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.081 * [backup-simplify]: Simplify (+ 0 0) into 0 10.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.082 * [taylor]: Taking taylor expansion of 1 in y 10.082 * [backup-simplify]: Simplify 1 into 1 10.082 * [taylor]: Taking taylor expansion of 0 in y 10.082 * [backup-simplify]: Simplify 0 into 0 10.082 * [backup-simplify]: Simplify 1 into 1 10.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.084 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 10.085 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 10.085 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 10.085 * [taylor]: Taking taylor expansion of 1/2 in y 10.085 * [backup-simplify]: Simplify 1/2 into 1/2 10.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.085 * [taylor]: Taking taylor expansion of y in y 10.085 * [backup-simplify]: Simplify 0 into 0 10.085 * [backup-simplify]: Simplify 1 into 1 10.085 * [backup-simplify]: Simplify (* 1 1) into 1 10.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.087 * [backup-simplify]: Simplify 0 into 0 10.087 * [backup-simplify]: Simplify 0 into 0 10.087 * [backup-simplify]: Simplify 0 into 0 10.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.089 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 10.089 * [backup-simplify]: Simplify (+ 0 0) into 0 10.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 10.090 * [taylor]: Taking taylor expansion of 0 in y 10.090 * [backup-simplify]: Simplify 0 into 0 10.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 10.092 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 10.092 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 10.092 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 10.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 10.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.092 * [taylor]: Taking taylor expansion of x in y 10.092 * [backup-simplify]: Simplify x into x 10.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.092 * [taylor]: Taking taylor expansion of y in y 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify 1 into 1 10.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 10.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.093 * [taylor]: Taking taylor expansion of x in x 10.093 * [backup-simplify]: Simplify 0 into 0 10.093 * [backup-simplify]: Simplify 1 into 1 10.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.093 * [taylor]: Taking taylor expansion of y in x 10.093 * [backup-simplify]: Simplify y into y 10.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 10.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.093 * [taylor]: Taking taylor expansion of x in x 10.093 * [backup-simplify]: Simplify 0 into 0 10.093 * [backup-simplify]: Simplify 1 into 1 10.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.093 * [taylor]: Taking taylor expansion of y in x 10.093 * [backup-simplify]: Simplify y into y 10.093 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.093 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 10.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.093 * [taylor]: Taking taylor expansion of y in y 10.093 * [backup-simplify]: Simplify 0 into 0 10.093 * [backup-simplify]: Simplify 1 into 1 10.093 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.094 * [backup-simplify]: Simplify (+ 0 0) into 0 10.094 * [taylor]: Taking taylor expansion of 0 in y 10.094 * [backup-simplify]: Simplify 0 into 0 10.094 * [backup-simplify]: Simplify 0 into 0 10.094 * [backup-simplify]: Simplify (* 1 1) into 1 10.094 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 10.095 * [backup-simplify]: Simplify (+ 1 0) into 1 10.095 * [taylor]: Taking taylor expansion of 1 in y 10.095 * [backup-simplify]: Simplify 1 into 1 10.095 * [backup-simplify]: Simplify 1 into 1 10.095 * [backup-simplify]: Simplify 0 into 0 10.095 * [backup-simplify]: Simplify (* 1 1) into 1 10.095 * [backup-simplify]: Simplify 1 into 1 10.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.097 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 10.097 * [backup-simplify]: Simplify (+ 0 0) into 0 10.097 * [taylor]: Taking taylor expansion of 0 in y 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.098 * [backup-simplify]: Simplify 0 into 0 10.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.099 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 10.100 * [backup-simplify]: Simplify (+ 0 0) into 0 10.100 * [taylor]: Taking taylor expansion of 0 in y 10.100 * [backup-simplify]: Simplify 0 into 0 10.100 * [backup-simplify]: Simplify 0 into 0 10.100 * [backup-simplify]: Simplify 0 into 0 10.100 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 10.100 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 10.101 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 10.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 10.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 10.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.101 * [taylor]: Taking taylor expansion of x in y 10.101 * [backup-simplify]: Simplify x into x 10.101 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.101 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.101 * [taylor]: Taking taylor expansion of y in y 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 1 into 1 10.101 * [backup-simplify]: Simplify (* 1 1) into 1 10.102 * [backup-simplify]: Simplify (/ 1 1) into 1 10.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 10.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.102 * [taylor]: Taking taylor expansion of x in x 10.102 * [backup-simplify]: Simplify 0 into 0 10.102 * [backup-simplify]: Simplify 1 into 1 10.102 * [backup-simplify]: Simplify (* 1 1) into 1 10.102 * [backup-simplify]: Simplify (/ 1 1) into 1 10.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.103 * [taylor]: Taking taylor expansion of y in x 10.103 * [backup-simplify]: Simplify y into y 10.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.103 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 10.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.103 * [taylor]: Taking taylor expansion of x in x 10.103 * [backup-simplify]: Simplify 0 into 0 10.103 * [backup-simplify]: Simplify 1 into 1 10.103 * [backup-simplify]: Simplify (* 1 1) into 1 10.104 * [backup-simplify]: Simplify (/ 1 1) into 1 10.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.104 * [taylor]: Taking taylor expansion of y in x 10.104 * [backup-simplify]: Simplify y into y 10.104 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.104 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.104 * [backup-simplify]: Simplify (+ 1 0) into 1 10.104 * [taylor]: Taking taylor expansion of 1 in y 10.104 * [backup-simplify]: Simplify 1 into 1 10.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.106 * [backup-simplify]: Simplify (+ 0 0) into 0 10.106 * [taylor]: Taking taylor expansion of 0 in y 10.106 * [backup-simplify]: Simplify 0 into 0 10.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.108 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 10.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.108 * [taylor]: Taking taylor expansion of y in y 10.108 * [backup-simplify]: Simplify 0 into 0 10.108 * [backup-simplify]: Simplify 1 into 1 10.108 * [backup-simplify]: Simplify (* 1 1) into 1 10.109 * [backup-simplify]: Simplify (/ 1 1) into 1 10.109 * [backup-simplify]: Simplify 1 into 1 10.109 * [backup-simplify]: Simplify 1 into 1 10.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 10.111 * [backup-simplify]: Simplify (+ 0 0) into 0 10.111 * [taylor]: Taking taylor expansion of 0 in y 10.111 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 0 into 0 10.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.114 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 10.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 10.115 * [backup-simplify]: Simplify (+ 0 0) into 0 10.115 * [taylor]: Taking taylor expansion of 0 in y 10.115 * [backup-simplify]: Simplify 0 into 0 10.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.116 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 10.116 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 10.116 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 10.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 10.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 10.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 10.117 * [taylor]: Taking taylor expansion of x in y 10.117 * [backup-simplify]: Simplify x into x 10.117 * [backup-simplify]: Simplify (* x x) into (pow x 2) 10.117 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 10.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.117 * [taylor]: Taking taylor expansion of y in y 10.117 * [backup-simplify]: Simplify 0 into 0 10.117 * [backup-simplify]: Simplify 1 into 1 10.117 * [backup-simplify]: Simplify (* 1 1) into 1 10.117 * [backup-simplify]: Simplify (/ 1 1) into 1 10.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 10.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.117 * [taylor]: Taking taylor expansion of x in x 10.117 * [backup-simplify]: Simplify 0 into 0 10.117 * [backup-simplify]: Simplify 1 into 1 10.118 * [backup-simplify]: Simplify (* 1 1) into 1 10.118 * [backup-simplify]: Simplify (/ 1 1) into 1 10.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.118 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.118 * [taylor]: Taking taylor expansion of y in x 10.118 * [backup-simplify]: Simplify y into y 10.118 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 10.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.118 * [taylor]: Taking taylor expansion of x in x 10.118 * [backup-simplify]: Simplify 0 into 0 10.118 * [backup-simplify]: Simplify 1 into 1 10.118 * [backup-simplify]: Simplify (* 1 1) into 1 10.119 * [backup-simplify]: Simplify (/ 1 1) into 1 10.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 10.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 10.119 * [taylor]: Taking taylor expansion of y in x 10.119 * [backup-simplify]: Simplify y into y 10.119 * [backup-simplify]: Simplify (* y y) into (pow y 2) 10.119 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 10.119 * [backup-simplify]: Simplify (+ 1 0) into 1 10.119 * [taylor]: Taking taylor expansion of 1 in y 10.119 * [backup-simplify]: Simplify 1 into 1 10.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.120 * [backup-simplify]: Simplify (+ 0 0) into 0 10.120 * [taylor]: Taking taylor expansion of 0 in y 10.121 * [backup-simplify]: Simplify 0 into 0 10.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.122 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 10.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 10.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 10.122 * [taylor]: Taking taylor expansion of y in y 10.122 * [backup-simplify]: Simplify 0 into 0 10.122 * [backup-simplify]: Simplify 1 into 1 10.122 * [backup-simplify]: Simplify (* 1 1) into 1 10.122 * [backup-simplify]: Simplify (/ 1 1) into 1 10.122 * [backup-simplify]: Simplify 1 into 1 10.122 * [backup-simplify]: Simplify 1 into 1 10.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.123 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 10.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 10.124 * [backup-simplify]: Simplify (+ 0 0) into 0 10.124 * [taylor]: Taking taylor expansion of 0 in y 10.124 * [backup-simplify]: Simplify 0 into 0 10.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.125 * [backup-simplify]: Simplify 0 into 0 10.125 * [backup-simplify]: Simplify 0 into 0 10.125 * [backup-simplify]: Simplify 0 into 0 10.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.126 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 10.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 10.127 * [backup-simplify]: Simplify (+ 0 0) into 0 10.127 * [taylor]: Taking taylor expansion of 0 in y 10.127 * [backup-simplify]: Simplify 0 into 0 10.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.128 * [backup-simplify]: Simplify 0 into 0 10.128 * [backup-simplify]: Simplify 0 into 0 10.128 * [backup-simplify]: Simplify 0 into 0 10.128 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 10.128 * * * [progress]: simplifying candidates 10.129 * [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)))) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (sqrt (log (sqrt (+ (* x x) (* y y)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (log (cbrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (exp (log (sqrt (cbrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log 1)) (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (exp (log (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (exp (log (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (exp (log (sqrt (- (* x x) (* y y))))) (log (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (exp (log (sqrt (+ (* x x) (* y y)))))) (* (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y))))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (* (* (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (sqrt (exp (log (sqrt (+ (* x x) (* y y)))))) (sqrt (exp (log (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)) 10.130 * * [simplify]: Extracting # 0 : cost 0 10.130 * * [simplify]: Extracting # 1 : cost 0 10.130 * * [simplify]: Extracting # 2 : cost 0 10.131 * * [simplify]: Extracting # 3 : cost 0 10.131 * * [simplify]: Extracting # 4 : cost 0 10.131 * * [simplify]: Extracting # 5 : cost 0 10.131 * * [simplify]: Extracting # 6 : cost 0 10.131 * * [simplify]: iteration 0 : 87 enodes (cost 739 ) 10.150 * * [simplify]: Extracting # 0 : cost 0 10.150 * * [simplify]: Extracting # 1 : cost 0 10.150 * * [simplify]: Extracting # 2 : cost 0 10.151 * * [simplify]: Extracting # 3 : cost 0 10.151 * * [simplify]: Extracting # 4 : cost 0 10.151 * * [simplify]: iteration 1 : 169 enodes (cost 626 ) 10.206 * * [simplify]: Extracting # 0 : cost 0 10.206 * * [simplify]: Extracting # 1 : cost 0 10.207 * * [simplify]: Extracting # 2 : cost 0 10.207 * * [simplify]: Extracting # 3 : cost 0 10.207 * * [simplify]: Extracting # 4 : cost 0 10.208 * * [simplify]: iteration 2 : 398 enodes (cost 534 ) 10.437 * * [simplify]: Extracting # 0 : cost 0 10.439 * * [simplify]: Extracting # 1 : cost 0 10.441 * * [simplify]: Extracting # 2 : cost 0 10.442 * * [simplify]: Extracting # 3 : cost 0 10.444 * * [simplify]: Extracting # 4 : cost 0 10.445 * * [simplify]: iteration 3 : 1056 enodes (cost 534 ) 11.254 * * [simplify]: Extracting # 0 : cost 0 11.257 * * [simplify]: Extracting # 1 : cost 0 11.260 * * [simplify]: Extracting # 2 : cost 0 11.262 * * [simplify]: Extracting # 3 : cost 0 11.265 * * [simplify]: Extracting # 4 : cost 0 11.267 * * [simplify]: iteration 4 : 2807 enodes (cost 528 ) 12.407 * * [simplify]: Extracting # 0 : cost 0 12.412 * * [simplify]: Extracting # 1 : cost 0 12.419 * * [simplify]: Extracting # 2 : cost 0 12.424 * * [simplify]: Extracting # 3 : cost 0 12.429 * * [simplify]: Extracting # 4 : cost 0 12.439 * * [simplify]: Extracting # 5 : cost 0 12.444 * * [simplify]: iteration done: 5001 enodes (cost 528 ) 12.444 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (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 (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (sqrt (log (sqrt (+ (* x x) (* y y)))))) E (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (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 (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 (- (* x x) (* y y))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (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 y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) y x (- x) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 12.445 * * * [progress]: adding candidates to table 12.566 * [progress]: [Phase 3 of 3] Extracting. 12.566 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 12.567 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 12.567 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # # #) 12.600 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 12.629 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # # #) 12.672 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 12.708 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # # # # # #) 12.763 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 12.787 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # # # # # #) 12.852 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # #) 12.879 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # #) 12.932 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 12.998 * * * [regime]: Found split indices: #