45.306 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.050 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.050 * * [simplify]: Extracting # 0 : cost 0 0.050 * * [simplify]: Extracting # 1 : cost 0 0.050 * * [simplify]: Extracting # 2 : cost 0 0.051 * * [simplify]: Extracting # 3 : cost 0 0.051 * * [simplify]: Extracting # 4 : cost 0 0.051 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.054 * * [simplify]: Extracting # 0 : cost 0 0.054 * * [simplify]: Extracting # 1 : cost 0 0.054 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 0.056 * * [simplify]: Extracting # 0 : cost 0 0.056 * * [simplify]: iteration 2 : 8 enodes (cost 6 ) 0.059 * * [simplify]: Extracting # 0 : cost 0 0.059 * * [simplify]: iteration done: 8 enodes (cost 6 ) 0.059 * [simplify]: Simplified to: (fma x x (* y y)) 0.066 * * [progress]: iteration 1 / 4 0.066 * * * [progress]: picking best candidate 0.071 * * * * [pick]: Picked # 0.071 * * * [progress]: localizing error 0.084 * * * [progress]: generating rewritten candidates 0.084 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.085 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2)) 0.085 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.085 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.085 * [taylor]: Taking taylor expansion of (* x x) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [backup-simplify]: Simplify x into x 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [backup-simplify]: Simplify x into x 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 (fma x x (pow y 2)) in x 0.086 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.086 * [taylor]: Taking taylor expansion of (* x x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.086 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.086 * [taylor]: Taking taylor expansion of (* x x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (* 0 0) into 0 0.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.088 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.089 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.091 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.091 * [backup-simplify]: Simplify (+ 1 0) into 1 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.097 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.099 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) 0.099 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.099 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.099 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [backup-simplify]: Simplify x into x 0.099 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [backup-simplify]: Simplify x into x 0.099 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.101 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.101 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [backup-simplify]: Simplify y into y 0.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.102 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.102 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.102 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [backup-simplify]: Simplify y into y 0.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.104 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) 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 1)) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.122 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.122 * [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 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [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)) 0.126 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) 0.126 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.126 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.126 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.126 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.126 * [taylor]: Taking taylor expansion of -1 in y 0.126 * [backup-simplify]: Simplify -1 into -1 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [backup-simplify]: Simplify x into x 0.126 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.126 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.126 * [taylor]: Taking taylor expansion of -1 in y 0.126 * [backup-simplify]: Simplify -1 into -1 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [backup-simplify]: Simplify x into x 0.126 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [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 (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.128 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.128 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.128 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.128 * [taylor]: Taking taylor expansion of -1 in x 0.128 * [backup-simplify]: Simplify -1 into -1 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 0.128 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.128 * [taylor]: Taking taylor expansion of -1 in x 0.128 * [backup-simplify]: Simplify -1 into -1 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 0.129 * [backup-simplify]: Simplify (/ -1 1) into -1 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.129 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.129 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.129 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.129 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [backup-simplify]: Simplify -1 into -1 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ -1 1) into -1 0.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.130 * [taylor]: Taking taylor expansion of -1 in x 0.130 * [backup-simplify]: Simplify -1 into -1 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ -1 1) into -1 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.131 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.131 * [backup-simplify]: Simplify (* -1 -1) into 1 0.132 * [backup-simplify]: Simplify (+ 1 0) into 1 0.132 * [taylor]: Taking taylor expansion of 1 in y 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [backup-simplify]: Simplify 0 into 0 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 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.166 * * * [progress]: simplifying candidates 0.167 * [simplify]: Simplifying: (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.167 * * [simplify]: Extracting # 0 : cost 0 0.167 * * [simplify]: Extracting # 1 : cost 0 0.167 * * [simplify]: Extracting # 2 : cost 0 0.168 * * [simplify]: Extracting # 3 : cost 0 0.168 * * [simplify]: Extracting # 4 : cost 0 0.168 * * [simplify]: Extracting # 5 : cost 0 0.168 * * [simplify]: iteration 0 : 18 enodes (cost 108 ) 0.174 * * [simplify]: Extracting # 0 : cost 0 0.174 * * [simplify]: Extracting # 1 : cost 0 0.174 * * [simplify]: Extracting # 2 : cost 0 0.174 * * [simplify]: Extracting # 3 : cost 0 0.174 * * [simplify]: Extracting # 4 : cost 0 0.174 * * [simplify]: iteration 1 : 27 enodes (cost 105 ) 0.189 * * [simplify]: Extracting # 0 : cost 0 0.189 * * [simplify]: Extracting # 1 : cost 0 0.189 * * [simplify]: Extracting # 2 : cost 0 0.189 * * [simplify]: Extracting # 3 : cost 0 0.189 * * [simplify]: iteration 2 : 88 enodes (cost 85 ) 0.227 * * [simplify]: Extracting # 0 : cost 0 0.228 * * [simplify]: Extracting # 1 : cost 0 0.228 * * [simplify]: Extracting # 2 : cost 0 0.229 * * [simplify]: Extracting # 3 : cost 0 0.229 * * [simplify]: iteration 3 : 273 enodes (cost 85 ) 0.403 * * [simplify]: Extracting # 0 : cost 0 0.404 * * [simplify]: Extracting # 1 : cost 0 0.407 * * [simplify]: Extracting # 2 : cost 0 0.409 * * [simplify]: Extracting # 3 : cost 0 0.411 * * [simplify]: Extracting # 4 : cost 0 0.421 * * [simplify]: iteration 4 : 1192 enodes (cost 85 ) 1.885 * * [simplify]: Extracting # 0 : cost 0 1.897 * * [simplify]: Extracting # 1 : cost 0 1.912 * * [simplify]: Extracting # 2 : cost 0 1.925 * * [simplify]: Extracting # 3 : cost 0 1.938 * * [simplify]: Extracting # 4 : cost 0 1.965 * * [simplify]: iteration done: 5001 enodes (cost 85 ) 1.965 * [simplify]: Simplified to: (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (fma x x (pow y 2)) 3) (hypot y x) (hypot y x) (fma x x (pow y 2)) (fma x x (pow y 2)) (fma x x (pow y 2)) 1.965 * * * [progress]: adding candidates to table 2.051 * * [progress]: iteration 2 / 4 2.052 * * * [progress]: picking best candidate 2.056 * * * * [pick]: Picked # 2.057 * * * [progress]: localizing error 2.069 * * * [progress]: generating rewritten candidates 2.069 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.085 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.086 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.088 * * * [progress]: generating series expansions 2.088 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.089 * [backup-simplify]: Simplify (* (hypot y x) (hypot y x)) into (pow (hypot y x) 2) 2.089 * [approximate]: Taking taylor expansion of (pow (hypot y x) 2) in (y x) around 0 2.089 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in x 2.089 * [taylor]: Taking taylor expansion of (hypot y x) in x 2.089 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.089 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 2.089 * [taylor]: Taking taylor expansion of (* y y) in x 2.089 * [taylor]: Taking taylor expansion of y in x 2.089 * [backup-simplify]: Simplify y into y 2.089 * [taylor]: Taking taylor expansion of y in x 2.089 * [backup-simplify]: Simplify y into y 2.089 * [taylor]: Taking taylor expansion of (* x x) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.096 * [backup-simplify]: Simplify (* 0 0) into 0 2.096 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.096 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.096 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.097 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.098 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in y 2.098 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.098 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.098 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.098 * [taylor]: Taking taylor expansion of (* y y) in y 2.098 * [taylor]: Taking taylor expansion of y in y 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [taylor]: Taking taylor expansion of y in y 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [taylor]: Taking taylor expansion of (* x x) in y 2.098 * [taylor]: Taking taylor expansion of x in y 2.098 * [backup-simplify]: Simplify x into x 2.098 * [taylor]: Taking taylor expansion of x in y 2.098 * [backup-simplify]: Simplify x into x 2.099 * [backup-simplify]: Simplify (* 0 0) into 0 2.099 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.099 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.099 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.100 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.100 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.101 * [taylor]: Taking taylor expansion of (pow (hypot y x) 2) in y 2.101 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.101 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.101 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.101 * [taylor]: Taking taylor expansion of (* y y) in y 2.101 * [taylor]: Taking taylor expansion of y in y 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [taylor]: Taking taylor expansion of y in y 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [taylor]: Taking taylor expansion of (* x x) in y 2.101 * [taylor]: Taking taylor expansion of x in y 2.101 * [backup-simplify]: Simplify x into x 2.101 * [taylor]: Taking taylor expansion of x in y 2.101 * [backup-simplify]: Simplify x into x 2.102 * [backup-simplify]: Simplify (* 0 0) into 0 2.102 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.102 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.102 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.103 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.103 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.104 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.105 * [taylor]: Taking taylor expansion of 0 in x 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.106 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.107 * [backup-simplify]: Simplify (+ 1 0) into 1 2.108 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 2.108 * [backup-simplify]: Simplify (+ (* x (/ 1/2 x)) (+ (* 0 0) (* (/ 1/2 x) x))) into 1 2.108 * [taylor]: Taking taylor expansion of 1 in x 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (* 1 1) into 1 2.109 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.111 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 2.111 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1/2 x)) (+ (* (/ 1/2 x) 0) (* 0 x)))) into 0 2.111 * [taylor]: Taking taylor expansion of 0 in x 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.115 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 2.115 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 x) 2) (+ (* 2 (* 0 0)))) (* 2 x)) into (/ -1/8 (pow x 3)) 2.118 * [backup-simplify]: Simplify (+ (* x (/ -1/8 (pow x 3))) (+ (* 0 0) (+ (* (/ 1/2 x) (/ 1/2 x)) (+ (* 0 0) (* (/ -1/8 (pow x 3)) x))))) into 0 2.118 * [taylor]: Taking taylor expansion of 0 in x 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow x 2) (pow y 2)) 2.119 * [backup-simplify]: Simplify (* (hypot (/ 1 y) (/ 1 x)) (hypot (/ 1 y) (/ 1 x))) into (pow (hypot (/ 1 y) (/ 1 x)) 2) 2.119 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in (y x) around 0 2.119 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in x 2.119 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 2.119 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.119 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 2.119 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.119 * [taylor]: Taking taylor expansion of y in x 2.119 * [backup-simplify]: Simplify y into y 2.119 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.119 * [taylor]: Taking taylor expansion of y in x 2.119 * [backup-simplify]: Simplify y into y 2.119 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.119 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.119 * [taylor]: Taking taylor expansion of x in x 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (/ 1 1) into 1 2.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.120 * [taylor]: Taking taylor expansion of x in x 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [backup-simplify]: Simplify (* 1 1) into 1 2.121 * [backup-simplify]: Simplify (+ 0 1) into 1 2.122 * [backup-simplify]: Simplify (sqrt 1) into 1 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.124 * [backup-simplify]: Simplify (+ 0 0) into 0 2.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.125 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in y 2.125 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.125 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.125 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.126 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.126 * [taylor]: Taking taylor expansion of y in y 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (/ 1 1) into 1 2.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.126 * [taylor]: Taking taylor expansion of y in y 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (/ 1 1) into 1 2.127 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.127 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.127 * [taylor]: Taking taylor expansion of x in y 2.127 * [backup-simplify]: Simplify x into x 2.127 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.127 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.127 * [taylor]: Taking taylor expansion of x in y 2.127 * [backup-simplify]: Simplify x into x 2.127 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.127 * [backup-simplify]: Simplify (* 1 1) into 1 2.128 * [backup-simplify]: Simplify (+ 1 0) into 1 2.128 * [backup-simplify]: Simplify (sqrt 1) into 1 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.131 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.132 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y) (/ 1 x)) 2) in y 2.132 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.132 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.132 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.132 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.132 * [taylor]: Taking taylor expansion of y in y 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (/ 1 1) into 1 2.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.132 * [taylor]: Taking taylor expansion of y in y 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 1 into 1 2.133 * [backup-simplify]: Simplify (/ 1 1) into 1 2.133 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.133 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.133 * [taylor]: Taking taylor expansion of x in y 2.133 * [backup-simplify]: Simplify x into x 2.133 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.133 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.133 * [taylor]: Taking taylor expansion of x in y 2.133 * [backup-simplify]: Simplify x into x 2.133 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.134 * [backup-simplify]: Simplify (* 1 1) into 1 2.134 * [backup-simplify]: Simplify (+ 1 0) into 1 2.135 * [backup-simplify]: Simplify (sqrt 1) into 1 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.139 * [backup-simplify]: Simplify (* 1 1) into 1 2.139 * [taylor]: Taking taylor expansion of 1 in x 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.139 * [taylor]: Taking taylor expansion of 0 in x 2.139 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.142 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 2.143 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.144 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 2.145 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow x 2))) (+ (* 0 0) (* (/ 1/2 (pow x 2)) 1))) into (/ 1 (pow x 2)) 2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.145 * [taylor]: Taking taylor expansion of x in x 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (* 1 1) into 1 2.146 * [backup-simplify]: Simplify (/ 1 1) into 1 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.150 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 2.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow x 2))) (+ (* (/ 1/2 (pow x 2)) 0) (* 0 1)))) into 0 2.153 * [taylor]: Taking taylor expansion of 0 in x 2.153 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.159 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.160 * [backup-simplify]: Simplify (+ 0 0) into 0 2.161 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow x 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow x 4)) 2.163 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow x 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow x 2)) (/ 1/2 (pow x 2))) (+ (* 0 0) (* (/ -1/8 (pow x 4)) 1))))) into 0 2.163 * [taylor]: Taking taylor expansion of 0 in x 2.163 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.166 * [backup-simplify]: Simplify (* (hypot (/ 1 (- y)) (/ 1 (- x))) (hypot (/ 1 (- y)) (/ 1 (- x)))) into (pow (hypot (/ -1 y) (/ -1 x)) 2) 2.166 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in (y x) around 0 2.166 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in x 2.166 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 2.166 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.166 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 2.166 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.166 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.166 * [taylor]: Taking taylor expansion of -1 in x 2.166 * [backup-simplify]: Simplify -1 into -1 2.166 * [taylor]: Taking taylor expansion of y in x 2.166 * [backup-simplify]: Simplify y into y 2.166 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.166 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.166 * [taylor]: Taking taylor expansion of -1 in x 2.166 * [backup-simplify]: Simplify -1 into -1 2.166 * [taylor]: Taking taylor expansion of y in x 2.166 * [backup-simplify]: Simplify y into y 2.167 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.167 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.167 * [taylor]: Taking taylor expansion of -1 in x 2.167 * [backup-simplify]: Simplify -1 into -1 2.167 * [taylor]: Taking taylor expansion of x in x 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (/ -1 1) into -1 2.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.167 * [taylor]: Taking taylor expansion of -1 in x 2.167 * [backup-simplify]: Simplify -1 into -1 2.167 * [taylor]: Taking taylor expansion of x in x 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.168 * [backup-simplify]: Simplify (/ -1 1) into -1 2.168 * [backup-simplify]: Simplify (* -1 -1) into 1 2.169 * [backup-simplify]: Simplify (+ 0 1) into 1 2.169 * [backup-simplify]: Simplify (sqrt 1) into 1 2.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.173 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in y 2.173 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.173 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.173 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.173 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.173 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.173 * [taylor]: Taking taylor expansion of -1 in y 2.173 * [backup-simplify]: Simplify -1 into -1 2.174 * [taylor]: Taking taylor expansion of y in y 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (/ -1 1) into -1 2.174 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.174 * [taylor]: Taking taylor expansion of -1 in y 2.174 * [backup-simplify]: Simplify -1 into -1 2.174 * [taylor]: Taking taylor expansion of y in y 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (/ -1 1) into -1 2.175 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.175 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.175 * [taylor]: Taking taylor expansion of -1 in y 2.175 * [backup-simplify]: Simplify -1 into -1 2.175 * [taylor]: Taking taylor expansion of x in y 2.175 * [backup-simplify]: Simplify x into x 2.175 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.175 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.175 * [taylor]: Taking taylor expansion of -1 in y 2.175 * [backup-simplify]: Simplify -1 into -1 2.175 * [taylor]: Taking taylor expansion of x in y 2.175 * [backup-simplify]: Simplify x into x 2.175 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.176 * [backup-simplify]: Simplify (* -1 -1) into 1 2.176 * [backup-simplify]: Simplify (+ 1 0) into 1 2.177 * [backup-simplify]: Simplify (sqrt 1) into 1 2.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.180 * [backup-simplify]: Simplify (+ 0 0) into 0 2.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.181 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y) (/ -1 x)) 2) in y 2.181 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.181 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.181 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.181 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.181 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.181 * [taylor]: Taking taylor expansion of -1 in y 2.181 * [backup-simplify]: Simplify -1 into -1 2.181 * [taylor]: Taking taylor expansion of y in y 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify (/ -1 1) into -1 2.182 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.182 * [taylor]: Taking taylor expansion of -1 in y 2.182 * [backup-simplify]: Simplify -1 into -1 2.182 * [taylor]: Taking taylor expansion of y in y 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify (/ -1 1) into -1 2.182 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.182 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.183 * [taylor]: Taking taylor expansion of -1 in y 2.183 * [backup-simplify]: Simplify -1 into -1 2.183 * [taylor]: Taking taylor expansion of x in y 2.183 * [backup-simplify]: Simplify x into x 2.183 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.183 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.183 * [taylor]: Taking taylor expansion of -1 in y 2.183 * [backup-simplify]: Simplify -1 into -1 2.183 * [taylor]: Taking taylor expansion of x in y 2.183 * [backup-simplify]: Simplify x into x 2.183 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.183 * [backup-simplify]: Simplify (* -1 -1) into 1 2.184 * [backup-simplify]: Simplify (+ 1 0) into 1 2.184 * [backup-simplify]: Simplify (sqrt 1) into 1 2.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.187 * [backup-simplify]: Simplify (+ 0 0) into 0 2.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.188 * [backup-simplify]: Simplify (* 1 1) into 1 2.188 * [taylor]: Taking taylor expansion of 1 in x 2.188 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.189 * [taylor]: Taking taylor expansion of 0 in x 2.189 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.192 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 2.192 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.194 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 2.194 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow x 2))) (+ (* 0 0) (* (/ 1/2 (pow x 2)) 1))) into (/ 1 (pow x 2)) 2.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.195 * [taylor]: Taking taylor expansion of x in x 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (* 1 1) into 1 2.195 * [backup-simplify]: Simplify (/ 1 1) into 1 2.195 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.199 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.199 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.199 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.199 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow x 2))) (+ (* (/ 1/2 (pow x 2)) 0) (* 0 1)))) into 0 2.202 * [taylor]: Taking taylor expansion of 0 in x 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.207 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.207 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.208 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.209 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow x 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow x 4)) 2.211 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow x 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow x 2)) (/ 1/2 (pow x 2))) (+ (* 0 0) (* (/ -1/8 (pow x 4)) 1))))) into 0 2.211 * [taylor]: Taking taylor expansion of 0 in x 2.211 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.214 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.214 * [backup-simplify]: Simplify (hypot y x) into (hypot y x) 2.214 * [approximate]: Taking taylor expansion of (hypot y x) in (y x) around 0 2.214 * [taylor]: Taking taylor expansion of (hypot y x) in x 2.214 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.214 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 2.214 * [taylor]: Taking taylor expansion of (* y y) in x 2.214 * [taylor]: Taking taylor expansion of y in x 2.214 * [backup-simplify]: Simplify y into y 2.214 * [taylor]: Taking taylor expansion of y in x 2.214 * [backup-simplify]: Simplify y into y 2.214 * [taylor]: Taking taylor expansion of (* x x) in x 2.214 * [taylor]: Taking taylor expansion of x in x 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of x in x 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.215 * [backup-simplify]: Simplify (* 0 0) into 0 2.215 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.215 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.215 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.216 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.217 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.217 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.217 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.217 * [taylor]: Taking taylor expansion of (* y y) in y 2.217 * [taylor]: Taking taylor expansion of y in y 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.217 * [taylor]: Taking taylor expansion of y in y 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.217 * [taylor]: Taking taylor expansion of (* x x) in y 2.217 * [taylor]: Taking taylor expansion of x in y 2.217 * [backup-simplify]: Simplify x into x 2.217 * [taylor]: Taking taylor expansion of x in y 2.217 * [backup-simplify]: Simplify x into x 2.217 * [backup-simplify]: Simplify (* 0 0) into 0 2.217 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.218 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.218 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.218 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.218 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.219 * [backup-simplify]: Simplify (+ 0 0) into 0 2.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.219 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.219 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.219 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.219 * [taylor]: Taking taylor expansion of (* y y) in y 2.219 * [taylor]: Taking taylor expansion of y in y 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [taylor]: Taking taylor expansion of y in y 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [taylor]: Taking taylor expansion of (* x x) in y 2.219 * [taylor]: Taking taylor expansion of x in y 2.219 * [backup-simplify]: Simplify x into x 2.219 * [taylor]: Taking taylor expansion of x in y 2.219 * [backup-simplify]: Simplify x into x 2.220 * [backup-simplify]: Simplify (* 0 0) into 0 2.220 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.220 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.220 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.221 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.221 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.221 * [taylor]: Taking taylor expansion of x in x 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [taylor]: Taking taylor expansion of 0 in x 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.223 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.223 * [backup-simplify]: Simplify (+ 1 0) into 1 2.224 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 2.224 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.224 * [taylor]: Taking taylor expansion of 1/2 in x 2.224 * [backup-simplify]: Simplify 1/2 into 1/2 2.224 * [taylor]: Taking taylor expansion of x in x 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.227 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 2.228 * [taylor]: Taking taylor expansion of 0 in x 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 2.229 * [backup-simplify]: Simplify (hypot (/ 1 y) (/ 1 x)) into (hypot (/ 1 y) (/ 1 x)) 2.229 * [approximate]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in (y x) around 0 2.229 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 2.229 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.229 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 2.230 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.230 * [taylor]: Taking taylor expansion of y in x 2.230 * [backup-simplify]: Simplify y into y 2.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.230 * [taylor]: Taking taylor expansion of y in x 2.230 * [backup-simplify]: Simplify y into y 2.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.230 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.230 * [taylor]: Taking taylor expansion of x in x 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (/ 1 1) into 1 2.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.230 * [taylor]: Taking taylor expansion of x in x 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (/ 1 1) into 1 2.231 * [backup-simplify]: Simplify (* 1 1) into 1 2.231 * [backup-simplify]: Simplify (+ 0 1) into 1 2.231 * [backup-simplify]: Simplify (sqrt 1) into 1 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.233 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.233 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.233 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.233 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.233 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.233 * [taylor]: Taking taylor expansion of y in y 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (/ 1 1) into 1 2.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.234 * [taylor]: Taking taylor expansion of y in y 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 1 into 1 2.234 * [backup-simplify]: Simplify (/ 1 1) into 1 2.234 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.234 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.234 * [taylor]: Taking taylor expansion of x in y 2.234 * [backup-simplify]: Simplify x into x 2.234 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.234 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.234 * [taylor]: Taking taylor expansion of x in y 2.234 * [backup-simplify]: Simplify x into x 2.234 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.234 * [backup-simplify]: Simplify (* 1 1) into 1 2.235 * [backup-simplify]: Simplify (+ 1 0) into 1 2.235 * [backup-simplify]: Simplify (sqrt 1) into 1 2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.240 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.240 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.240 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.241 * [taylor]: Taking taylor expansion of y in y 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (/ 1 1) into 1 2.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.241 * [taylor]: Taking taylor expansion of y in y 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.242 * [backup-simplify]: Simplify (/ 1 1) into 1 2.242 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.242 * [taylor]: Taking taylor expansion of x in y 2.242 * [backup-simplify]: Simplify x into x 2.242 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.242 * [taylor]: Taking taylor expansion of x in y 2.242 * [backup-simplify]: Simplify x into x 2.242 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.242 * [backup-simplify]: Simplify (* 1 1) into 1 2.243 * [backup-simplify]: Simplify (+ 1 0) into 1 2.243 * [backup-simplify]: Simplify (sqrt 1) into 1 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.246 * [backup-simplify]: Simplify (+ 0 0) into 0 2.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.247 * [taylor]: Taking taylor expansion of 1 in x 2.247 * [backup-simplify]: Simplify 1 into 1 2.247 * [taylor]: Taking taylor expansion of 0 in x 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.250 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 2.250 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.251 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 2.251 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.251 * [taylor]: Taking taylor expansion of 1/2 in x 2.251 * [backup-simplify]: Simplify 1/2 into 1/2 2.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.251 * [taylor]: Taking taylor expansion of x in x 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify (* 1 1) into 1 2.252 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.264 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 2.265 * [backup-simplify]: Simplify (+ 0 0) into 0 2.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 2.266 * [taylor]: Taking taylor expansion of 0 in x 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 2.268 * [backup-simplify]: Simplify (hypot (/ 1 (- y)) (/ 1 (- x))) into (hypot (/ -1 y) (/ -1 x)) 2.268 * [approximate]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in (y x) around 0 2.268 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 2.268 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.268 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 2.268 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.268 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.268 * [taylor]: Taking taylor expansion of -1 in x 2.268 * [backup-simplify]: Simplify -1 into -1 2.268 * [taylor]: Taking taylor expansion of y in x 2.268 * [backup-simplify]: Simplify y into y 2.268 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.268 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.268 * [taylor]: Taking taylor expansion of -1 in x 2.268 * [backup-simplify]: Simplify -1 into -1 2.268 * [taylor]: Taking taylor expansion of y in x 2.268 * [backup-simplify]: Simplify y into y 2.268 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.268 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.268 * [taylor]: Taking taylor expansion of -1 in x 2.269 * [backup-simplify]: Simplify -1 into -1 2.269 * [taylor]: Taking taylor expansion of x in x 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify 1 into 1 2.269 * [backup-simplify]: Simplify (/ -1 1) into -1 2.269 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.269 * [taylor]: Taking taylor expansion of -1 in x 2.269 * [backup-simplify]: Simplify -1 into -1 2.269 * [taylor]: Taking taylor expansion of x in x 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (/ -1 1) into -1 2.270 * [backup-simplify]: Simplify (* -1 -1) into 1 2.270 * [backup-simplify]: Simplify (+ 0 1) into 1 2.271 * [backup-simplify]: Simplify (sqrt 1) into 1 2.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.273 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.274 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.274 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.274 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.274 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.274 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.274 * [taylor]: Taking taylor expansion of -1 in y 2.274 * [backup-simplify]: Simplify -1 into -1 2.274 * [taylor]: Taking taylor expansion of y in y 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (/ -1 1) into -1 2.275 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.275 * [taylor]: Taking taylor expansion of -1 in y 2.275 * [backup-simplify]: Simplify -1 into -1 2.275 * [taylor]: Taking taylor expansion of y in y 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (/ -1 1) into -1 2.275 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.275 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.275 * [taylor]: Taking taylor expansion of -1 in y 2.275 * [backup-simplify]: Simplify -1 into -1 2.275 * [taylor]: Taking taylor expansion of x in y 2.275 * [backup-simplify]: Simplify x into x 2.275 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.275 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.276 * [taylor]: Taking taylor expansion of -1 in y 2.276 * [backup-simplify]: Simplify -1 into -1 2.276 * [taylor]: Taking taylor expansion of x in y 2.276 * [backup-simplify]: Simplify x into x 2.276 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.276 * [backup-simplify]: Simplify (* -1 -1) into 1 2.276 * [backup-simplify]: Simplify (+ 1 0) into 1 2.277 * [backup-simplify]: Simplify (sqrt 1) into 1 2.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.280 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.280 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.280 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.280 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.280 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.280 * [taylor]: Taking taylor expansion of -1 in y 2.280 * [backup-simplify]: Simplify -1 into -1 2.280 * [taylor]: Taking taylor expansion of y in y 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (/ -1 1) into -1 2.281 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.281 * [taylor]: Taking taylor expansion of -1 in y 2.281 * [backup-simplify]: Simplify -1 into -1 2.281 * [taylor]: Taking taylor expansion of y in y 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (/ -1 1) into -1 2.281 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.281 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.281 * [taylor]: Taking taylor expansion of -1 in y 2.281 * [backup-simplify]: Simplify -1 into -1 2.281 * [taylor]: Taking taylor expansion of x in y 2.282 * [backup-simplify]: Simplify x into x 2.282 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.282 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.282 * [taylor]: Taking taylor expansion of -1 in y 2.282 * [backup-simplify]: Simplify -1 into -1 2.282 * [taylor]: Taking taylor expansion of x in y 2.282 * [backup-simplify]: Simplify x into x 2.282 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.282 * [backup-simplify]: Simplify (* -1 -1) into 1 2.283 * [backup-simplify]: Simplify (+ 1 0) into 1 2.283 * [backup-simplify]: Simplify (sqrt 1) into 1 2.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.285 * [backup-simplify]: Simplify (+ 0 0) into 0 2.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.286 * [taylor]: Taking taylor expansion of 1 in x 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [taylor]: Taking taylor expansion of 0 in x 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.289 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 2.289 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.291 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 2.291 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.291 * [taylor]: Taking taylor expansion of 1/2 in x 2.291 * [backup-simplify]: Simplify 1/2 into 1/2 2.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.291 * [taylor]: Taking taylor expansion of x in x 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (* 1 1) into 1 2.291 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.297 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.297 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.297 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 2.298 * [backup-simplify]: Simplify (+ 0 0) into 0 2.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 2.299 * [taylor]: Taking taylor expansion of 0 in x 2.299 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 2.301 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 2.301 * [backup-simplify]: Simplify (hypot y x) into (hypot y x) 2.301 * [approximate]: Taking taylor expansion of (hypot y x) in (y x) around 0 2.301 * [taylor]: Taking taylor expansion of (hypot y x) in x 2.301 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.301 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in x 2.301 * [taylor]: Taking taylor expansion of (* y y) in x 2.301 * [taylor]: Taking taylor expansion of y in x 2.301 * [backup-simplify]: Simplify y into y 2.301 * [taylor]: Taking taylor expansion of y in x 2.301 * [backup-simplify]: Simplify y into y 2.301 * [taylor]: Taking taylor expansion of (* x x) in x 2.301 * [taylor]: Taking taylor expansion of x in x 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [taylor]: Taking taylor expansion of x in x 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.302 * [backup-simplify]: Simplify (* 0 0) into 0 2.302 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.302 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.302 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.303 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.303 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.303 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.303 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.303 * [taylor]: Taking taylor expansion of (* y y) in y 2.303 * [taylor]: Taking taylor expansion of y in y 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify 1 into 1 2.303 * [taylor]: Taking taylor expansion of y in y 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify 1 into 1 2.303 * [taylor]: Taking taylor expansion of (* x x) in y 2.303 * [taylor]: Taking taylor expansion of x in y 2.303 * [backup-simplify]: Simplify x into x 2.303 * [taylor]: Taking taylor expansion of x in y 2.303 * [backup-simplify]: Simplify x into x 2.304 * [backup-simplify]: Simplify (* 0 0) into 0 2.304 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.304 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.304 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.304 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.304 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.305 * [taylor]: Taking taylor expansion of (hypot y x) in y 2.305 * [taylor]: Rewrote expression to (sqrt (+ (* y y) (* x x))) 2.305 * [taylor]: Taking taylor expansion of (+ (* y y) (* x x)) in y 2.305 * [taylor]: Taking taylor expansion of (* y y) in y 2.305 * [taylor]: Taking taylor expansion of y in y 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [taylor]: Taking taylor expansion of y in y 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [taylor]: Taking taylor expansion of (* x x) in y 2.305 * [taylor]: Taking taylor expansion of x in y 2.305 * [backup-simplify]: Simplify x into x 2.305 * [taylor]: Taking taylor expansion of x in y 2.305 * [backup-simplify]: Simplify x into x 2.305 * [backup-simplify]: Simplify (* 0 0) into 0 2.305 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.305 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.306 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.306 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.306 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.307 * [taylor]: Taking taylor expansion of x in x 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [taylor]: Taking taylor expansion of 0 in x 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.308 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.308 * [backup-simplify]: Simplify (+ 1 0) into 1 2.309 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x) 2.309 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.309 * [taylor]: Taking taylor expansion of 1/2 in x 2.309 * [backup-simplify]: Simplify 1/2 into 1/2 2.309 * [taylor]: Taking taylor expansion of x in x 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.312 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.313 * [backup-simplify]: Simplify (+ 0 0) into 0 2.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 x))))) (* 2 x)) into 0 2.313 * [taylor]: Taking taylor expansion of 0 in x 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 2.314 * [backup-simplify]: Simplify (hypot (/ 1 y) (/ 1 x)) into (hypot (/ 1 y) (/ 1 x)) 2.314 * [approximate]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in (y x) around 0 2.314 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in x 2.315 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.315 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in x 2.315 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.315 * [taylor]: Taking taylor expansion of y in x 2.315 * [backup-simplify]: Simplify y into y 2.315 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.315 * [taylor]: Taking taylor expansion of y in x 2.315 * [backup-simplify]: Simplify y into y 2.315 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.315 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.315 * [taylor]: Taking taylor expansion of x in x 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (/ 1 1) into 1 2.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.316 * [taylor]: Taking taylor expansion of x in x 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (/ 1 1) into 1 2.316 * [backup-simplify]: Simplify (* 1 1) into 1 2.317 * [backup-simplify]: Simplify (+ 0 1) into 1 2.317 * [backup-simplify]: Simplify (sqrt 1) into 1 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.319 * [backup-simplify]: Simplify (+ 0 0) into 0 2.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.320 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.320 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.320 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.320 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.320 * [taylor]: Taking taylor expansion of y in y 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.321 * [backup-simplify]: Simplify (/ 1 1) into 1 2.321 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.321 * [taylor]: Taking taylor expansion of y in y 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.321 * [backup-simplify]: Simplify (/ 1 1) into 1 2.321 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.321 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.321 * [taylor]: Taking taylor expansion of x in y 2.321 * [backup-simplify]: Simplify x into x 2.321 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.321 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.322 * [taylor]: Taking taylor expansion of x in y 2.322 * [backup-simplify]: Simplify x into x 2.322 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.322 * [backup-simplify]: Simplify (* 1 1) into 1 2.322 * [backup-simplify]: Simplify (+ 1 0) into 1 2.323 * [backup-simplify]: Simplify (sqrt 1) into 1 2.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.325 * [backup-simplify]: Simplify (+ 0 0) into 0 2.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.326 * [taylor]: Taking taylor expansion of (hypot (/ 1 y) (/ 1 x)) in y 2.326 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) 2.326 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) in y 2.326 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.326 * [taylor]: Taking taylor expansion of y in y 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify (/ 1 1) into 1 2.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.327 * [taylor]: Taking taylor expansion of y in y 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify (/ 1 1) into 1 2.327 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.327 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.327 * [taylor]: Taking taylor expansion of x in y 2.327 * [backup-simplify]: Simplify x into x 2.327 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.327 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.327 * [taylor]: Taking taylor expansion of x in y 2.327 * [backup-simplify]: Simplify x into x 2.327 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.328 * [backup-simplify]: Simplify (* 1 1) into 1 2.328 * [backup-simplify]: Simplify (+ 1 0) into 1 2.328 * [backup-simplify]: Simplify (sqrt 1) into 1 2.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.332 * [taylor]: Taking taylor expansion of 1 in x 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [taylor]: Taking taylor expansion of 0 in x 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.334 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 2.335 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.336 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 2.336 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.336 * [taylor]: Taking taylor expansion of 1/2 in x 2.336 * [backup-simplify]: Simplify 1/2 into 1/2 2.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify 1 into 1 2.336 * [backup-simplify]: Simplify (* 1 1) into 1 2.337 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.341 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 2.342 * [backup-simplify]: Simplify (+ 0 0) into 0 2.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 2.342 * [taylor]: Taking taylor expansion of 0 in x 2.342 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 2.345 * [backup-simplify]: Simplify (hypot (/ 1 (- y)) (/ 1 (- x))) into (hypot (/ -1 y) (/ -1 x)) 2.345 * [approximate]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in (y x) around 0 2.345 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in x 2.345 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.345 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in x 2.345 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.345 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.345 * [taylor]: Taking taylor expansion of -1 in x 2.345 * [backup-simplify]: Simplify -1 into -1 2.345 * [taylor]: Taking taylor expansion of y in x 2.345 * [backup-simplify]: Simplify y into y 2.345 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.345 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.345 * [taylor]: Taking taylor expansion of -1 in x 2.345 * [backup-simplify]: Simplify -1 into -1 2.345 * [taylor]: Taking taylor expansion of y in x 2.346 * [backup-simplify]: Simplify y into y 2.346 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.346 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.346 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.346 * [taylor]: Taking taylor expansion of -1 in x 2.346 * [backup-simplify]: Simplify -1 into -1 2.346 * [taylor]: Taking taylor expansion of x in x 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.346 * [backup-simplify]: Simplify (/ -1 1) into -1 2.346 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.346 * [taylor]: Taking taylor expansion of -1 in x 2.346 * [backup-simplify]: Simplify -1 into -1 2.346 * [taylor]: Taking taylor expansion of x in x 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (/ -1 1) into -1 2.347 * [backup-simplify]: Simplify (* -1 -1) into 1 2.348 * [backup-simplify]: Simplify (+ 0 1) into 1 2.348 * [backup-simplify]: Simplify (sqrt 1) into 1 2.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.350 * [backup-simplify]: Simplify (+ 0 0) into 0 2.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.351 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.351 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.351 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.351 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.351 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.351 * [taylor]: Taking taylor expansion of -1 in y 2.351 * [backup-simplify]: Simplify -1 into -1 2.351 * [taylor]: Taking taylor expansion of y in y 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 1 into 1 2.352 * [backup-simplify]: Simplify (/ -1 1) into -1 2.352 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.352 * [taylor]: Taking taylor expansion of -1 in y 2.352 * [backup-simplify]: Simplify -1 into -1 2.352 * [taylor]: Taking taylor expansion of y in y 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 1 into 1 2.352 * [backup-simplify]: Simplify (/ -1 1) into -1 2.352 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.352 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.352 * [taylor]: Taking taylor expansion of -1 in y 2.352 * [backup-simplify]: Simplify -1 into -1 2.352 * [taylor]: Taking taylor expansion of x in y 2.352 * [backup-simplify]: Simplify x into x 2.353 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.353 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.353 * [taylor]: Taking taylor expansion of -1 in y 2.353 * [backup-simplify]: Simplify -1 into -1 2.353 * [taylor]: Taking taylor expansion of x in y 2.353 * [backup-simplify]: Simplify x into x 2.353 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.353 * [backup-simplify]: Simplify (* -1 -1) into 1 2.353 * [backup-simplify]: Simplify (+ 1 0) into 1 2.354 * [backup-simplify]: Simplify (sqrt 1) into 1 2.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.356 * [backup-simplify]: Simplify (+ 0 0) into 0 2.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.357 * [taylor]: Taking taylor expansion of (hypot (/ -1 y) (/ -1 x)) in y 2.357 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x)))) 2.357 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y) (/ -1 y)) (* (/ -1 x) (/ -1 x))) in y 2.357 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.357 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.357 * [taylor]: Taking taylor expansion of -1 in y 2.357 * [backup-simplify]: Simplify -1 into -1 2.357 * [taylor]: Taking taylor expansion of y in y 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (/ -1 1) into -1 2.358 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.358 * [taylor]: Taking taylor expansion of -1 in y 2.358 * [backup-simplify]: Simplify -1 into -1 2.358 * [taylor]: Taking taylor expansion of y in y 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (/ -1 1) into -1 2.358 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.358 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.358 * [taylor]: Taking taylor expansion of -1 in y 2.358 * [backup-simplify]: Simplify -1 into -1 2.358 * [taylor]: Taking taylor expansion of x in y 2.358 * [backup-simplify]: Simplify x into x 2.358 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.358 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.358 * [taylor]: Taking taylor expansion of -1 in y 2.358 * [backup-simplify]: Simplify -1 into -1 2.358 * [taylor]: Taking taylor expansion of x in y 2.358 * [backup-simplify]: Simplify x into x 2.358 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.359 * [backup-simplify]: Simplify (* -1 -1) into 1 2.359 * [backup-simplify]: Simplify (+ 1 0) into 1 2.359 * [backup-simplify]: Simplify (sqrt 1) into 1 2.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.362 * [backup-simplify]: Simplify (+ 0 0) into 0 2.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.363 * [taylor]: Taking taylor expansion of 1 in x 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [taylor]: Taking taylor expansion of 0 in x 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.365 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.365 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 2.366 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.367 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow x 2)) 2.367 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 2.367 * [taylor]: Taking taylor expansion of 1/2 in x 2.367 * [backup-simplify]: Simplify 1/2 into 1/2 2.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [backup-simplify]: Simplify (* 1 1) into 1 2.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.372 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.372 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.372 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow x 2)))))) (* 2 1)) into 0 2.373 * [taylor]: Taking taylor expansion of 0 in x 2.373 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 2.375 * * * [progress]: simplifying candidates 2.376 * [simplify]: Simplifying: (expm1 (* (hypot y x) (hypot y x))) (log1p (* (hypot y x) (hypot y x))) (+ 1 1) (* (hypot y x) (hypot y x)) (+ 1 1) (+ (log (hypot y x)) (log (hypot y x))) (log (* (hypot y x) (hypot y x))) (exp (* (hypot y x) (hypot y x))) (* (* (* (hypot y x) (hypot y x)) (hypot y x)) (* (* (hypot y x) (hypot y x)) (hypot y x))) (* (cbrt (* (hypot y x) (hypot y x))) (cbrt (* (hypot y x) (hypot y x)))) (cbrt (* (hypot y x) (hypot y x))) (* (* (* (hypot y x) (hypot y x)) (* (hypot y x) (hypot y x))) (* (hypot y x) (hypot y x))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (sqrt (* (hypot y x) (hypot y x))) (sqrt (* (hypot y x) (hypot y x))) (* (* (cbrt (hypot y x)) (cbrt (hypot y x))) (* (cbrt (hypot y x)) (cbrt (hypot y x)))) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* 1 1) (* (hypot y x) (hypot y x)) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* (sqrt (hypot y x)) (sqrt (hypot y x))) (* 2 1) (* (hypot y x) (* (cbrt (hypot y x)) (cbrt (hypot y x)))) (* (hypot y x) (sqrt (hypot y x))) (* (hypot y x) 1) (* (cbrt (hypot y x)) (hypot y x)) (* (sqrt (hypot y x)) (hypot y x)) (* (hypot y x) (hypot y x)) (expm1 (hypot y x)) (log1p (hypot y x)) (+ (* y y) (* x x)) (log (hypot y x)) (exp (hypot y x)) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (cbrt (hypot y x)) (* (* (hypot y x) (hypot y x)) (hypot y x)) (sqrt (hypot y x)) (sqrt (hypot y x)) (expm1 (hypot y x)) (log1p (hypot y x)) (+ (* y y) (* x x)) (log (hypot y x)) (exp (hypot y x)) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (cbrt (hypot y x)) (* (* (hypot y x) (hypot y x)) (hypot y x)) (sqrt (hypot y x)) (sqrt (hypot y x)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) x y (* -1 y) x y (* -1 y) 2.377 * * [simplify]: Extracting # 0 : cost 0 2.378 * * [simplify]: Extracting # 1 : cost 0 2.378 * * [simplify]: Extracting # 2 : cost 0 2.378 * * [simplify]: Extracting # 3 : cost 0 2.378 * * [simplify]: Extracting # 4 : cost 0 2.378 * * [simplify]: iteration 0 : 44 enodes (cost 423 ) 2.396 * * [simplify]: Extracting # 0 : cost 0 2.396 * * [simplify]: Extracting # 1 : cost 0 2.396 * * [simplify]: Extracting # 2 : cost 0 2.396 * * [simplify]: iteration 1 : 107 enodes (cost 367 ) 2.469 * * [simplify]: Extracting # 0 : cost 0 2.470 * * [simplify]: Extracting # 1 : cost 0 2.470 * * [simplify]: Extracting # 2 : cost 0 2.471 * * [simplify]: Extracting # 3 : cost 0 2.471 * * [simplify]: Extracting # 4 : cost 0 2.472 * * [simplify]: iteration 2 : 475 enodes (cost 315 ) 3.296 * * [simplify]: Extracting # 0 : cost 0 3.317 * * [simplify]: Extracting # 1 : cost 0 3.327 * * [simplify]: Extracting # 2 : cost 0 3.335 * * [simplify]: Extracting # 3 : cost 0 3.343 * * [simplify]: Extracting # 4 : cost 0 3.351 * * [simplify]: iteration 3 : 4101 enodes (cost 289 ) 18.778 * * [simplify]: Extracting # 0 : cost 0 18.797 * * [simplify]: Extracting # 1 : cost 0 18.804 * * [simplify]: Extracting # 2 : cost 0 18.811 * * [simplify]: Extracting # 3 : cost 0 18.819 * * [simplify]: Extracting # 4 : cost 0 18.829 * * [simplify]: iteration done: 5001 enodes (cost 286 ) 18.829 * [simplify]: Simplified to: (expm1 (pow (sqrt (hypot y x)) 4)) (log1p (pow (sqrt (hypot y x)) 4)) 2 (pow (sqrt (hypot y x)) 4) 2 (* 2 (log (hypot y x))) (* 2 (log (hypot y x))) (exp (pow (sqrt (hypot y x)) 4)) (pow (hypot y x) 6) (* (cbrt (pow (sqrt (hypot y x)) 4)) (cbrt (pow (sqrt (hypot y x)) 4))) (cbrt (pow (sqrt (hypot y x)) 4)) (pow (hypot y x) 6) (* (fma y y (* x x)) (fma y y (* x x))) (fabs (hypot y x)) (fabs (hypot y x)) (pow (cbrt (hypot y x)) 4) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (hypot y x) (hypot y x) 1 (pow (sqrt (hypot y x)) 4) (hypot y x) (hypot y x) 2 (pow (cbrt (hypot y x)) (+ 4 1)) (pow (sqrt (hypot y x)) 3) (hypot y x) (pow (cbrt (hypot y x)) 4) (pow (sqrt (hypot y x)) 3) (pow (sqrt (hypot y x)) 4) (expm1 (hypot y x)) (log1p (hypot y x)) (fma y y (* x x)) (log (hypot y x)) (exp (hypot y x)) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (cbrt (hypot y x)) (pow (hypot y x) 3) (sqrt (hypot y x)) (sqrt (hypot y x)) (expm1 (hypot y x)) (log1p (hypot y x)) (fma y y (* x x)) (log (hypot y x)) (exp (hypot y x)) (* (cbrt (hypot y x)) (cbrt (hypot y x))) (cbrt (hypot y x)) (pow (hypot y x) 3) (sqrt (hypot y x)) (sqrt (hypot y x)) (fma y y (* x x)) (fma y y (* x x)) (fma y y (* x x)) x y (- y) x y (- y) 18.830 * * * [progress]: adding candidates to table 19.069 * [progress]: [Phase 3 of 3] Extracting. 19.070 * * [regime]: Finding splitpoints for: (# #) 19.070 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 19.070 * * * * [regimes]: Trying to branch on (* y y) from (# #) 19.109 * * * * [regimes]: Trying to branch on y from (# #) 19.155 * * * * [regimes]: Trying to branch on x from (# #) 19.195 * * * [regime]: Found split indices: #