19.630 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.033 * * [simplify]: iteration 0: 6 enodes 0.035 * * [simplify]: iteration 1: 7 enodes 0.036 * * [simplify]: iteration complete: 7 enodes 0.036 * * [simplify]: Extracting #0: cost 1 inf + 0 0.036 * * [simplify]: Extracting #1: cost 2 inf + 0 0.036 * * [simplify]: Extracting #2: cost 4 inf + 0 0.036 * * [simplify]: Extracting #3: cost 6 inf + 0 0.037 * * [simplify]: Extracting #4: cost 3 inf + 5 0.037 * * [simplify]: Extracting #5: cost 0 inf + 23 0.037 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.072 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.086 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 0.086 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.086 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [backup-simplify]: Simplify x into x 0.086 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.086 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.087 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.087 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.088 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.088 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.088 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.088 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.089 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.089 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.089 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (+ 0 1) into 1 0.091 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.091 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.091 * [taylor]: Taking taylor expansion of 1/2 in y 0.091 * [backup-simplify]: Simplify 1/2 into 1/2 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.094 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.094 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [backup-simplify]: Simplify x into x 0.095 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.095 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (sqrt 1) into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 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 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (+ 0 1) into 1 0.098 * [backup-simplify]: Simplify (sqrt 1) into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.101 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 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 1) into 1 0.102 * [backup-simplify]: Simplify (+ 0 1) into 1 0.103 * [backup-simplify]: Simplify (sqrt 1) into 1 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.105 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.109 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.109 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of 1/2 in y 0.109 * [backup-simplify]: Simplify 1/2 into 1/2 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.118 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.118 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 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 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [backup-simplify]: Simplify x into x 0.119 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.119 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.120 * [backup-simplify]: Simplify (sqrt 1) into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (+ 0 1) into 1 0.125 * [backup-simplify]: Simplify (sqrt 1) into 1 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 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 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [backup-simplify]: Simplify y into y 0.128 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [backup-simplify]: Simplify (+ 0 1) into 1 0.130 * [backup-simplify]: Simplify (sqrt 1) into 1 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.132 * [taylor]: Taking taylor expansion of 1 in y 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.135 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.135 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.135 * [taylor]: Taking taylor expansion of 1/2 in y 0.136 * [backup-simplify]: Simplify 1/2 into 1/2 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.144 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.144 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.144 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.145 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (+ 0 1) into 1 0.147 * [taylor]: Taking taylor expansion of 1 in y 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.153 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.153 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 0.154 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.154 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [backup-simplify]: Simplify y into y 0.155 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.155 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [backup-simplify]: Simplify y into y 0.156 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.156 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [backup-simplify]: Simplify (+ 0 1) into 1 0.157 * [taylor]: Taking taylor expansion of 1 in y 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.173 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.173 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [backup-simplify]: Simplify x into x 0.174 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [backup-simplify]: Simplify y into y 0.175 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.175 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [backup-simplify]: Simplify y into y 0.176 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.176 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (+ 0 1) into 1 0.177 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.193 * * * [progress]: simplifying candidates 0.194 * [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 y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.195 * * [simplify]: iteration 0: 48 enodes 0.212 * * [simplify]: iteration 1: 142 enodes 0.301 * * [simplify]: iteration 2: 770 enodes 0.612 * * [simplify]: iteration complete: 5000 enodes 0.612 * * [simplify]: Extracting #0: cost 28 inf + 0 0.612 * * [simplify]: Extracting #1: cost 262 inf + 4 0.616 * * [simplify]: Extracting #2: cost 1739 inf + 155 0.623 * * [simplify]: Extracting #3: cost 1667 inf + 4154 0.644 * * [simplify]: Extracting #4: cost 347 inf + 16400 0.658 * * [simplify]: Extracting #5: cost 43 inf + 19427 0.671 * * [simplify]: Extracting #6: cost 0 inf + 19785 0.685 * [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 x 6) (pow y 6))) (sqrt (+ (pow y 4) (* (* x x) (* (+ x y) (- x y))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ x y) (- x 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 x 6) (pow y 6)) (+ (pow y 4) (* (* x x) (* (+ x y) (- x y)))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.685 * * * [progress]: adding candidates to table 0.834 * * [progress]: iteration 2 / 4 0.834 * * * [progress]: picking best candidate 0.843 * * * * [pick]: Picked # 0.843 * * * [progress]: localizing error 0.869 * * * [progress]: generating rewritten candidates 0.869 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.881 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.899 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.913 * * * [progress]: generating series expansions 0.913 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.914 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 0.914 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.914 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.914 * [backup-simplify]: Simplify x into x 0.914 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.914 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.914 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.914 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.915 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.915 * [backup-simplify]: Simplify y into y 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.916 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.916 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.916 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.917 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [backup-simplify]: Simplify y into y 0.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.917 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.917 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.917 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.919 * [backup-simplify]: Simplify (* 1 1) into 1 0.920 * [backup-simplify]: Simplify (+ 0 1) into 1 0.920 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.920 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.920 * [taylor]: Taking taylor expansion of 1/2 in y 0.920 * [backup-simplify]: Simplify 1/2 into 1/2 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.926 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.926 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (* 1 1) into 1 0.927 * [backup-simplify]: Simplify (/ 1 1) into 1 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.927 * [taylor]: Taking taylor expansion of x in y 0.927 * [backup-simplify]: Simplify x into x 0.927 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.927 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.927 * [backup-simplify]: Simplify (+ 1 0) into 1 0.928 * [backup-simplify]: Simplify (sqrt 1) into 1 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [backup-simplify]: Simplify y into y 0.931 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.931 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (* 1 1) into 1 0.931 * [backup-simplify]: Simplify (/ 1 1) into 1 0.932 * [backup-simplify]: Simplify (+ 0 1) into 1 0.932 * [backup-simplify]: Simplify (sqrt 1) into 1 0.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.933 * [taylor]: Taking taylor expansion of y in x 0.933 * [backup-simplify]: Simplify y into y 0.933 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.934 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (* 1 1) into 1 0.934 * [backup-simplify]: Simplify (/ 1 1) into 1 0.934 * [backup-simplify]: Simplify (+ 0 1) into 1 0.935 * [backup-simplify]: Simplify (sqrt 1) into 1 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.936 * [taylor]: Taking taylor expansion of 1 in y 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.938 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.938 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.938 * [taylor]: Taking taylor expansion of 1/2 in y 0.938 * [backup-simplify]: Simplify 1/2 into 1/2 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (* 1 1) into 1 0.939 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.948 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.948 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.948 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (* 1 1) into 1 0.949 * [backup-simplify]: Simplify (/ 1 1) into 1 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.949 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [backup-simplify]: Simplify x into x 0.949 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.949 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.949 * [backup-simplify]: Simplify (+ 1 0) into 1 0.950 * [backup-simplify]: Simplify (sqrt 1) into 1 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.951 * [backup-simplify]: Simplify y into y 0.951 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.951 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (* 1 1) into 1 0.952 * [backup-simplify]: Simplify (/ 1 1) into 1 0.952 * [backup-simplify]: Simplify (+ 0 1) into 1 0.953 * [backup-simplify]: Simplify (sqrt 1) into 1 0.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.954 * [backup-simplify]: Simplify y into y 0.954 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.954 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.955 * [backup-simplify]: Simplify (* 1 1) into 1 0.955 * [backup-simplify]: Simplify (/ 1 1) into 1 0.955 * [backup-simplify]: Simplify (+ 0 1) into 1 0.955 * [backup-simplify]: Simplify (sqrt 1) into 1 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.958 * [taylor]: Taking taylor expansion of 1 in y 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.961 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.961 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.961 * [taylor]: Taking taylor expansion of 1/2 in y 0.961 * [backup-simplify]: Simplify 1/2 into 1/2 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (* 1 1) into 1 0.962 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.967 * [taylor]: Taking taylor expansion of 0 in y 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.968 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.968 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* x x) (* y y))))) into (sqrt (+ (pow y 2) (pow x 2))) 0.968 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.969 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.969 * [taylor]: Taking taylor expansion of x in y 0.969 * [backup-simplify]: Simplify x into x 0.969 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.969 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.969 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.969 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.969 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.969 * [taylor]: Taking taylor expansion of y in x 0.969 * [backup-simplify]: Simplify y into y 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.970 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.970 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.970 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.970 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [backup-simplify]: Simplify y into y 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.970 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.970 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.970 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.972 * [backup-simplify]: Simplify (* 1 1) into 1 0.972 * [backup-simplify]: Simplify (+ 0 1) into 1 0.972 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.972 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.972 * [taylor]: Taking taylor expansion of 1/2 in y 0.972 * [backup-simplify]: Simplify 1/2 into 1/2 0.972 * [taylor]: Taking taylor expansion of y in y 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.974 * [backup-simplify]: Simplify (+ 0 0) into 0 0.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.976 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.976 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.976 * [backup-simplify]: Simplify (* 1 1) into 1 0.976 * [backup-simplify]: Simplify (/ 1 1) into 1 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.976 * [taylor]: Taking taylor expansion of x in y 0.976 * [backup-simplify]: Simplify x into x 0.976 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.976 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.977 * [backup-simplify]: Simplify (+ 1 0) into 1 0.977 * [backup-simplify]: Simplify (sqrt 1) into 1 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (+ 0 0) into 0 0.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.978 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.978 * [taylor]: Taking taylor expansion of y in x 0.978 * [backup-simplify]: Simplify y into y 0.979 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.979 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (/ 1 1) into 1 0.979 * [backup-simplify]: Simplify (+ 0 1) into 1 0.980 * [backup-simplify]: Simplify (sqrt 1) into 1 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify (+ 0 0) into 0 0.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.981 * [backup-simplify]: Simplify y into y 0.981 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.981 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (* 1 1) into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [backup-simplify]: Simplify (+ 0 1) into 1 0.982 * [backup-simplify]: Simplify (sqrt 1) into 1 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (+ 0 0) into 0 0.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.984 * [taylor]: Taking taylor expansion of 1 in y 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [taylor]: Taking taylor expansion of 0 in y 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.986 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.986 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.986 * [taylor]: Taking taylor expansion of 1/2 in y 0.986 * [backup-simplify]: Simplify 1/2 into 1/2 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [backup-simplify]: Simplify (* 1 1) into 1 0.987 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.990 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.991 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.991 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 1 into 1 0.992 * [backup-simplify]: Simplify (* 1 1) into 1 0.992 * [backup-simplify]: Simplify (/ 1 1) into 1 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.992 * [taylor]: Taking taylor expansion of x in y 0.992 * [backup-simplify]: Simplify x into x 0.992 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.992 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.992 * [backup-simplify]: Simplify (+ 1 0) into 1 0.993 * [backup-simplify]: Simplify (sqrt 1) into 1 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [backup-simplify]: Simplify y into y 0.994 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.995 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (* 1 1) into 1 0.995 * [backup-simplify]: Simplify (/ 1 1) into 1 0.996 * [backup-simplify]: Simplify (+ 0 1) into 1 0.996 * [backup-simplify]: Simplify (sqrt 1) into 1 0.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ 0 0) into 0 0.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.998 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.999 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.999 * [taylor]: Taking taylor expansion of y in x 0.999 * [backup-simplify]: Simplify y into y 0.999 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.999 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (/ 1 1) into 1 1.000 * [backup-simplify]: Simplify (+ 0 1) into 1 1.001 * [backup-simplify]: Simplify (sqrt 1) into 1 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.002 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.003 * [taylor]: Taking taylor expansion of 1 in y 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [taylor]: Taking taylor expansion of 0 in y 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.007 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.007 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.007 * [taylor]: Taking taylor expansion of 1/2 in y 1.007 * [backup-simplify]: Simplify 1/2 into 1/2 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.008 * [backup-simplify]: Simplify (* 1 1) into 1 1.008 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (+ 0 0) into 0 1.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.014 * [taylor]: Taking taylor expansion of 0 in y 1.014 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.016 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 1.016 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 1.016 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 1.016 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.017 * [backup-simplify]: Simplify x into x 1.017 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [backup-simplify]: Simplify y into y 1.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [backup-simplify]: Simplify y into y 1.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.017 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.018 * [taylor]: Taking taylor expansion of 0 in y 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.019 * [backup-simplify]: Simplify (* 1 1) into 1 1.020 * [backup-simplify]: Simplify (+ 0 1) into 1 1.020 * [taylor]: Taking taylor expansion of 1 in y 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify (* 1 1) into 1 1.020 * [backup-simplify]: Simplify 1 into 1 1.021 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [taylor]: Taking taylor expansion of 0 in y 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.025 * [taylor]: Taking taylor expansion of 0 in y 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 1.026 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.026 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (* 1 1) into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.027 * [taylor]: Taking taylor expansion of x in y 1.027 * [backup-simplify]: Simplify x into x 1.027 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.027 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.027 * [backup-simplify]: Simplify y into y 1.027 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.027 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (* 1 1) into 1 1.028 * [backup-simplify]: Simplify (/ 1 1) into 1 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.028 * [backup-simplify]: Simplify y into y 1.028 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.029 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (* 1 1) into 1 1.029 * [backup-simplify]: Simplify (/ 1 1) into 1 1.030 * [backup-simplify]: Simplify (+ 0 1) into 1 1.030 * [taylor]: Taking taylor expansion of 1 in y 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.031 * [taylor]: Taking taylor expansion of 0 in y 1.031 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.032 * [taylor]: Taking taylor expansion of y in y 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (* 1 1) into 1 1.033 * [backup-simplify]: Simplify (/ 1 1) into 1 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.034 * [backup-simplify]: Simplify (+ 0 0) into 0 1.034 * [taylor]: Taking taylor expansion of 0 in y 1.034 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (+ 0 0) into 0 1.037 * [taylor]: Taking taylor expansion of 0 in y 1.037 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.039 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.039 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [backup-simplify]: Simplify (* 1 1) into 1 1.040 * [backup-simplify]: Simplify (/ 1 1) into 1 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.040 * [taylor]: Taking taylor expansion of x in y 1.040 * [backup-simplify]: Simplify x into x 1.040 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.040 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [backup-simplify]: Simplify y into y 1.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify (* 1 1) into 1 1.041 * [backup-simplify]: Simplify (/ 1 1) into 1 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.041 * [taylor]: Taking taylor expansion of y in x 1.041 * [backup-simplify]: Simplify y into y 1.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.041 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (* 1 1) into 1 1.041 * [backup-simplify]: Simplify (/ 1 1) into 1 1.042 * [backup-simplify]: Simplify (+ 0 1) into 1 1.042 * [taylor]: Taking taylor expansion of 1 in y 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.043 * [backup-simplify]: Simplify (+ 0 0) into 0 1.043 * [taylor]: Taking taylor expansion of 0 in y 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.044 * [taylor]: Taking taylor expansion of y in y 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 1 into 1 1.044 * [backup-simplify]: Simplify (* 1 1) into 1 1.044 * [backup-simplify]: Simplify (/ 1 1) into 1 1.044 * [backup-simplify]: Simplify 1 into 1 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.046 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [taylor]: Taking taylor expansion of 0 in y 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.049 * [taylor]: Taking taylor expansion of 0 in y 1.049 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.051 * * * [progress]: simplifying candidates 1.051 * [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 y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 1.052 * * [simplify]: iteration 0: 87 enodes 1.084 * * [simplify]: iteration 1: 191 enodes 1.171 * * [simplify]: iteration 2: 919 enodes 1.590 * * [simplify]: iteration complete: 5001 enodes 1.590 * * [simplify]: Extracting #0: cost 32 inf + 0 1.590 * * [simplify]: Extracting #1: cost 361 inf + 7 1.594 * * [simplify]: Extracting #2: cost 1696 inf + 574 1.600 * * [simplify]: Extracting #3: cost 1393 inf + 10629 1.608 * * [simplify]: Extracting #4: cost 157 inf + 22815 1.616 * * [simplify]: Extracting #5: cost 21 inf + 23845 1.629 * * [simplify]: Extracting #6: cost 0 inf + 24004 1.637 * [simplify]: Simplified to: (log (sqrt (+ (* y y) (* x x)))) (exp (sqrt (+ (* y y) (* x x)))) (pow (exp 2) (log (cbrt (sqrt (+ (* y y) (* x x)))))) (cbrt (sqrt (+ (* y y) (* x x)))) (pow (sqrt (+ (* y y) (* x x))) 3) (fabs (cbrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) 1 (sqrt (+ (* y y) (* x x))) (sqrt (+ (pow x 6) (pow y 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ x y) (- x y))) 1/2 (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt E) E (sqrt E) (exp (* (cbrt (log (sqrt (+ (* y y) (* x x))))) (cbrt (log (sqrt (+ (* y y) (* x x))))))) (exp (sqrt (log (sqrt (+ (* y y) (* x x)))))) E (pow (exp 2) (log (cbrt (sqrt (+ (* y y) (* x x)))))) (cbrt (sqrt (+ (* y y) (* x x)))) (fabs (cbrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) 1 (sqrt (+ (* y y) (* x x))) (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) 1 (sqrt (+ (* y y) (* x x))) (sqrt (+ (pow x 6) (pow y 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ x y) (- x y))) (log (sqrt (+ (* y y) (* x x)))) (exp (sqrt (+ (* y y) (* x x)))) (pow (exp 2) (log (cbrt (sqrt (+ (* y y) (* x x)))))) (cbrt (sqrt (+ (* y y) (* x x)))) (pow (sqrt (+ (* y y) (* x x))) 3) (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) (exp (+ (* y y) (* x x))) (log (+ (* y y) (* x x))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (pow (+ (* y y) (* x x)) 3) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (pow x 6) (pow y 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) y x (- x) y x (- x) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 1.637 * * * [progress]: adding candidates to table 1.907 * * [progress]: iteration 3 / 4 1.907 * * * [progress]: picking best candidate 1.936 * * * * [pick]: Picked # 1.936 * * * [progress]: localizing error