54.128 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.047 * * [simplify]: Extracting # 1 : cost 0 0.047 * * [simplify]: Extracting # 2 : cost 0 0.047 * * [simplify]: Extracting # 3 : cost 0 0.047 * * [simplify]: Extracting # 4 : cost 0 0.047 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.048 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.050 * * [simplify]: Extracting # 0 : cost 0 0.050 * * [simplify]: iteration done: 6 enodes (cost 7 ) 0.050 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.084 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.084 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.085 * [backup-simplify]: Simplify x into x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.085 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.089 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.093 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [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 (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.094 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.094 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [backup-simplify]: Simplify x into x 0.095 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.095 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.097 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [backup-simplify]: Simplify y into y 0.098 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.098 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.099 * [backup-simplify]: Simplify (+ 1 0) into 1 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 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 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.115 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.115 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [backup-simplify]: Simplify x into x 0.115 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.115 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.120 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.120 * [taylor]: Taking taylor expansion of 1 in y 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.148 * * * [progress]: simplifying candidates 0.149 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.149 * * [simplify]: Extracting # 0 : cost 0 0.149 * * [simplify]: Extracting # 1 : cost 0 0.149 * * [simplify]: Extracting # 2 : cost 0 0.149 * * [simplify]: Extracting # 3 : cost 0 0.149 * * [simplify]: Extracting # 4 : cost 0 0.150 * * [simplify]: Extracting # 5 : cost 0 0.150 * * [simplify]: Extracting # 6 : cost 0 0.150 * * [simplify]: iteration 0 : 30 enodes (cost 166 ) 0.160 * * [simplify]: Extracting # 0 : cost 0 0.160 * * [simplify]: Extracting # 1 : cost 0 0.160 * * [simplify]: Extracting # 2 : cost 0 0.161 * * [simplify]: Extracting # 3 : cost 0 0.161 * * [simplify]: iteration 1 : 118 enodes (cost 161 ) 0.235 * * [simplify]: Extracting # 0 : cost 0 0.242 * * [simplify]: Extracting # 1 : cost 0 0.243 * * [simplify]: Extracting # 2 : cost 0 0.245 * * [simplify]: Extracting # 3 : cost 0 0.246 * * [simplify]: Extracting # 4 : cost 0 0.247 * * [simplify]: iteration 2 : 674 enodes (cost 131 ) 0.661 * * [simplify]: Extracting # 0 : cost 0 0.671 * * [simplify]: Extracting # 1 : cost 0 0.690 * * [simplify]: Extracting # 2 : cost 0 0.702 * * [simplify]: Extracting # 3 : cost 0 0.711 * * [simplify]: Extracting # 4 : cost 0 0.720 * * [simplify]: iteration done: 5000 enodes (cost 131 ) 0.720 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.720 * * * [progress]: adding candidates to table 0.776 * * [progress]: iteration 2 / 4 0.776 * * * [progress]: picking best candidate 0.781 * * * * [pick]: Picked # 0.781 * * * [progress]: localizing error 0.804 * * * [progress]: generating rewritten candidates 0.804 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.892 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.919 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.941 * * * [progress]: generating series expansions 0.941 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.941 * [backup-simplify]: Simplify (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))) into (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) 0.942 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in (x y) around 0 0.942 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in y 0.942 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.942 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.942 * [backup-simplify]: Simplify x into x 0.942 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.942 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.942 * [backup-simplify]: Simplify x into x 0.942 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.942 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.942 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 0.942 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.943 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.943 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 0.943 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 0.943 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.943 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [backup-simplify]: Simplify y into y 0.943 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [backup-simplify]: Simplify y into y 0.943 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.943 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.943 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 0.944 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 0.944 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.944 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.944 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.944 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2) 0.944 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2))) in x 0.944 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.944 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.944 * [backup-simplify]: Simplify y into y 0.945 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.945 * [backup-simplify]: Simplify y into y 0.945 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.945 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.945 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 0.945 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 0.945 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.945 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.945 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.946 * [backup-simplify]: Simplify (/ (- (pow y 4)) (- (pow y 2))) into (pow y 2) 0.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.946 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 0.947 * [backup-simplify]: Simplify (- 0) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.948 * [backup-simplify]: Simplify (- 0) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))))) into 0 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.950 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.950 * [backup-simplify]: Simplify (- 0) into 0 0.950 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (* 1 1) into 1 0.951 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.952 * [backup-simplify]: Simplify (+ 1 0) into 1 0.952 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 1 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))))) into 1 0.953 * [taylor]: Taking taylor expansion of 1 in y 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (* 1 1) into 1 0.953 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.955 * [backup-simplify]: Simplify (- 0) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.956 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.957 * [backup-simplify]: Simplify (- 0) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))) (* 0 (/ 1 (- (pow y 2)))) (* 1 (/ 0 (- (pow y 2)))))) into 0 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.960 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.961 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.962 * [backup-simplify]: Simplify (- 0) into 0 0.962 * [backup-simplify]: Simplify (+ 1 0) into 1 0.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.964 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.964 * [backup-simplify]: Simplify (- 0) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (- (/ 1 (- (pow y 2))) (+ (* (pow y 2) (/ 0 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))) (* 1 (/ 1 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))))) into 0 0.965 * [taylor]: Taking taylor expansion of 0 in y 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.966 * [backup-simplify]: Simplify (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 4)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.966 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.966 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.966 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.966 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [backup-simplify]: Simplify x into x 0.966 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.967 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.967 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.967 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify (* 1 1) into 1 0.968 * [backup-simplify]: Simplify (* 1 1) into 1 0.968 * [backup-simplify]: Simplify (/ 1 1) into 1 0.968 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.968 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.968 * [taylor]: Taking taylor expansion of x in y 0.968 * [backup-simplify]: Simplify x into x 0.968 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.968 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* 1 1) into 1 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [backup-simplify]: Simplify (- 1) into -1 0.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.970 * [backup-simplify]: Simplify (- 1) into -1 0.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.971 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.971 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.971 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.971 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (* 1 1) into 1 0.972 * [backup-simplify]: Simplify (* 1 1) into 1 0.972 * [backup-simplify]: Simplify (/ 1 1) into 1 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.972 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [backup-simplify]: Simplify y into y 0.972 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.972 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.972 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 0.972 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (* 1 1) into 1 0.973 * [backup-simplify]: Simplify (/ 1 1) into 1 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.973 * [taylor]: Taking taylor expansion of y in x 0.973 * [backup-simplify]: Simplify y into y 0.973 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.973 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.974 * [backup-simplify]: Simplify (+ 1 0) into 1 0.974 * [backup-simplify]: Simplify (+ 1 0) into 1 0.974 * [backup-simplify]: Simplify (/ 1 1) into 1 0.975 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.975 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.975 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (* 1 1) into 1 0.975 * [backup-simplify]: Simplify (* 1 1) into 1 0.976 * [backup-simplify]: Simplify (/ 1 1) into 1 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.976 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.976 * [taylor]: Taking taylor expansion of y in x 0.976 * [backup-simplify]: Simplify y into y 0.976 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.976 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 0.976 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 0.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (* 1 1) into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [backup-simplify]: Simplify y into y 0.982 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.982 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.983 * [backup-simplify]: Simplify (+ 1 0) into 1 0.983 * [backup-simplify]: Simplify (+ 1 0) into 1 0.983 * [backup-simplify]: Simplify (/ 1 1) into 1 0.983 * [taylor]: Taking taylor expansion of 1 in y 0.983 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (+ 0 0) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.992 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2)) 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.993 * [taylor]: Taking taylor expansion of y in y 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 1 into 1 0.993 * [backup-simplify]: Simplify (* 1 1) into 1 0.994 * [backup-simplify]: Simplify (/ 1 1) into 1 0.994 * [backup-simplify]: Simplify 1 into 1 0.994 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.999 * [backup-simplify]: Simplify (- 0) into 0 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.005 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.008 * [backup-simplify]: Simplify (- 0) into 0 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.010 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0 1.010 * [taylor]: Taking taylor expansion of 0 in y 1.010 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.013 * [backup-simplify]: Simplify (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 4)) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.013 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.013 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.013 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.013 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.013 * [taylor]: Taking taylor expansion of x in y 1.013 * [backup-simplify]: Simplify x into x 1.013 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.013 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.013 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.013 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.014 * [backup-simplify]: Simplify (/ 1 1) into 1 1.015 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.015 * [taylor]: Taking taylor expansion of x in y 1.015 * [backup-simplify]: Simplify x into x 1.015 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.015 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 1 into 1 1.015 * [backup-simplify]: Simplify (* 1 1) into 1 1.016 * [backup-simplify]: Simplify (/ 1 1) into 1 1.016 * [backup-simplify]: Simplify (- 1) into -1 1.016 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.017 * [backup-simplify]: Simplify (- 1) into -1 1.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.017 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.017 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.017 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.017 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (/ 1 1) into 1 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.018 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.018 * [backup-simplify]: Simplify y into y 1.019 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.019 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.019 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.019 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (* 1 1) into 1 1.020 * [backup-simplify]: Simplify (/ 1 1) into 1 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.020 * [taylor]: Taking taylor expansion of y in x 1.020 * [backup-simplify]: Simplify y into y 1.020 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.020 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.020 * [backup-simplify]: Simplify (+ 1 0) into 1 1.021 * [backup-simplify]: Simplify (+ 1 0) into 1 1.021 * [backup-simplify]: Simplify (/ 1 1) into 1 1.021 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.021 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.021 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.021 * [backup-simplify]: Simplify (* 1 1) into 1 1.022 * [backup-simplify]: Simplify (* 1 1) into 1 1.022 * [backup-simplify]: Simplify (/ 1 1) into 1 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.022 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.022 * [backup-simplify]: Simplify y into y 1.022 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.022 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.023 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.023 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (* 1 1) into 1 1.023 * [backup-simplify]: Simplify (/ 1 1) into 1 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.023 * [backup-simplify]: Simplify y into y 1.024 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.024 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.024 * [backup-simplify]: Simplify (+ 1 0) into 1 1.024 * [backup-simplify]: Simplify (+ 1 0) into 1 1.025 * [backup-simplify]: Simplify (/ 1 1) into 1 1.025 * [taylor]: Taking taylor expansion of 1 in y 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.032 * [taylor]: Taking taylor expansion of 0 in y 1.032 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.038 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.038 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2)) 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify (* 1 1) into 1 1.040 * [backup-simplify]: Simplify (/ 1 1) into 1 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.043 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.045 * [backup-simplify]: Simplify (- 0) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 1.047 * [taylor]: Taking taylor expansion of 0 in y 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.051 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.051 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.053 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.053 * [backup-simplify]: Simplify (- 0) into 0 1.054 * [backup-simplify]: Simplify (+ 0 0) into 0 1.055 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.057 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.058 * [backup-simplify]: Simplify (- (pow x 4) (pow y 4)) into (- (pow x 4) (pow y 4)) 1.058 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 1.058 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 1.058 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.058 * [taylor]: Taking taylor expansion of x in y 1.058 * [backup-simplify]: Simplify x into x 1.058 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.058 * [taylor]: Taking taylor expansion of y in y 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 1.058 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.058 * [backup-simplify]: Simplify y into y 1.058 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 1.058 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.058 * [backup-simplify]: Simplify y into y 1.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.059 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.059 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 1.059 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 1.059 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 1.059 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.059 * [taylor]: Taking taylor expansion of y in y 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.059 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.060 * [backup-simplify]: Simplify (- 0) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [taylor]: Taking taylor expansion of 0 in y 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.061 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.061 * [backup-simplify]: Simplify (- 0) into 0 1.062 * [backup-simplify]: Simplify (+ 0 0) into 0 1.062 * [taylor]: Taking taylor expansion of 0 in y 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.063 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.064 * [backup-simplify]: Simplify (- 0) into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [taylor]: Taking taylor expansion of 0 in y 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4) (pow (/ 1 y) 4)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1.065 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 1.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.065 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.065 * [backup-simplify]: Simplify x into x 1.065 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.065 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.065 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.065 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (* 1 1) into 1 1.066 * [backup-simplify]: Simplify (* 1 1) into 1 1.066 * [backup-simplify]: Simplify (/ 1 1) into 1 1.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.066 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (* 1 1) into 1 1.067 * [backup-simplify]: Simplify (* 1 1) into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.067 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.067 * [taylor]: Taking taylor expansion of y in x 1.067 * [backup-simplify]: Simplify y into y 1.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.068 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.068 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.068 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.069 * [backup-simplify]: Simplify (/ 1 1) into 1 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.069 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.069 * [taylor]: Taking taylor expansion of y in x 1.069 * [backup-simplify]: Simplify y into y 1.069 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.069 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.069 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.070 * [backup-simplify]: Simplify (+ 1 0) into 1 1.070 * [taylor]: Taking taylor expansion of 1 in y 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.074 * [backup-simplify]: Simplify (+ 0 0) into 0 1.074 * [taylor]: Taking taylor expansion of 0 in y 1.074 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [taylor]: Taking taylor expansion of 0 in y 1.077 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.080 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.080 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.080 * [taylor]: Taking taylor expansion of y in y 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (* 1 1) into 1 1.080 * [backup-simplify]: Simplify (* 1 1) into 1 1.081 * [backup-simplify]: Simplify (/ 1 1) into 1 1.081 * [backup-simplify]: Simplify (- 1) into -1 1.081 * [backup-simplify]: Simplify -1 into -1 1.081 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.084 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [taylor]: Taking taylor expansion of 0 in y 1.085 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.087 * [backup-simplify]: Simplify (- 0) into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.091 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.092 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.092 * [backup-simplify]: Simplify (- 0) into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [taylor]: Taking taylor expansion of 0 in y 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.095 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 4))) into (- (pow x 4) (pow y 4)) 1.096 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 4)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) 1.096 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 1.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.096 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.096 * [taylor]: Taking taylor expansion of x in y 1.096 * [backup-simplify]: Simplify x into x 1.096 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.096 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.096 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.096 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (* 1 1) into 1 1.097 * [backup-simplify]: Simplify (* 1 1) into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.098 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (* 1 1) into 1 1.098 * [backup-simplify]: Simplify (* 1 1) into 1 1.098 * [backup-simplify]: Simplify (/ 1 1) into 1 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.099 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.099 * [taylor]: Taking taylor expansion of y in x 1.099 * [backup-simplify]: Simplify y into y 1.099 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.099 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.099 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.099 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.099 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 1 into 1 1.099 * [backup-simplify]: Simplify (* 1 1) into 1 1.100 * [backup-simplify]: Simplify (* 1 1) into 1 1.100 * [backup-simplify]: Simplify (/ 1 1) into 1 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 1.100 * [taylor]: Taking taylor expansion of (pow y 4) in x 1.100 * [taylor]: Taking taylor expansion of y in x 1.100 * [backup-simplify]: Simplify y into y 1.100 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.100 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 1.100 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 1.101 * [backup-simplify]: Simplify (+ 1 0) into 1 1.101 * [taylor]: Taking taylor expansion of 1 in y 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [taylor]: Taking taylor expansion of 0 in y 1.103 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (+ 0 0) into 0 1.105 * [taylor]: Taking taylor expansion of 0 in y 1.105 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 1.118 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 1.118 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.118 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.118 * [taylor]: Taking taylor expansion of y in y 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [backup-simplify]: Simplify (* 1 1) into 1 1.118 * [backup-simplify]: Simplify (* 1 1) into 1 1.119 * [backup-simplify]: Simplify (/ 1 1) into 1 1.119 * [backup-simplify]: Simplify (- 1) into -1 1.119 * [backup-simplify]: Simplify -1 into -1 1.119 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.122 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 1.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))))) into 0 1.123 * [backup-simplify]: Simplify (- 0) into 0 1.123 * [backup-simplify]: Simplify (+ 0 0) into 0 1.123 * [taylor]: Taking taylor expansion of 0 in y 1.123 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (- 0) into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.129 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 4)) (/ 0 (pow y 4))) (* 0 (/ 0 (pow y 4))))) into 0 1.130 * [backup-simplify]: Simplify (- 0) into 0 1.130 * [backup-simplify]: Simplify (+ 0 0) into 0 1.130 * [taylor]: Taking taylor expansion of 0 in y 1.130 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 4))) into (- (pow x 4) (pow y 4)) 1.133 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.134 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 1.134 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 1.134 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.134 * [taylor]: Taking taylor expansion of x in y 1.134 * [backup-simplify]: Simplify x into x 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.134 * [taylor]: Taking taylor expansion of y in y 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [backup-simplify]: Simplify y into y 1.134 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [backup-simplify]: Simplify y into y 1.134 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.134 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.135 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.135 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 1.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify 1 into 1 1.135 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.135 * [backup-simplify]: Simplify (- 0) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [taylor]: Taking taylor expansion of 0 in y 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (* 1 1) into 1 1.136 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.137 * [backup-simplify]: Simplify (- 0) into 0 1.137 * [backup-simplify]: Simplify (+ 1 0) into 1 1.137 * [taylor]: Taking taylor expansion of 1 in y 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify (* 1 1) into 1 1.138 * [backup-simplify]: Simplify (- 1) into -1 1.138 * [backup-simplify]: Simplify -1 into -1 1.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.139 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.139 * [taylor]: Taking taylor expansion of 0 in y 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.140 * [backup-simplify]: Simplify (- 0) into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.142 * [backup-simplify]: Simplify (- 0) into 0 1.143 * [backup-simplify]: Simplify (+ 0 0) into 0 1.143 * [taylor]: Taking taylor expansion of 0 in y 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 1.143 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.143 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.143 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.144 * [taylor]: Taking taylor expansion of x in y 1.144 * [backup-simplify]: Simplify x into x 1.144 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.144 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.144 * [taylor]: Taking taylor expansion of y in y 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (* 1 1) into 1 1.145 * [backup-simplify]: Simplify (/ 1 1) into 1 1.145 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [backup-simplify]: Simplify (* 1 1) into 1 1.145 * [backup-simplify]: Simplify (/ 1 1) into 1 1.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.145 * [backup-simplify]: Simplify y into y 1.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (* 1 1) into 1 1.146 * [backup-simplify]: Simplify (/ 1 1) into 1 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.146 * [taylor]: Taking taylor expansion of y in x 1.146 * [backup-simplify]: Simplify y into y 1.147 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.147 * [backup-simplify]: Simplify (+ 1 0) into 1 1.147 * [taylor]: Taking taylor expansion of 1 in y 1.147 * [backup-simplify]: Simplify 1 into 1 1.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.148 * [backup-simplify]: Simplify (+ 0 0) into 0 1.148 * [taylor]: Taking taylor expansion of 0 in y 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.150 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.150 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.150 * [taylor]: Taking taylor expansion of y in y 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify 1 into 1 1.151 * [backup-simplify]: Simplify (* 1 1) into 1 1.151 * [backup-simplify]: Simplify (/ 1 1) into 1 1.151 * [backup-simplify]: Simplify (- 1) into -1 1.151 * [backup-simplify]: Simplify -1 into -1 1.151 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.153 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.154 * [backup-simplify]: Simplify (- 0) into 0 1.154 * [backup-simplify]: Simplify (+ 0 0) into 0 1.154 * [taylor]: Taking taylor expansion of 0 in y 1.154 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.157 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.158 * [backup-simplify]: Simplify (- 0) into 0 1.159 * [backup-simplify]: Simplify (+ 0 0) into 0 1.159 * [taylor]: Taking taylor expansion of 0 in y 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.160 * [backup-simplify]: Simplify (- 0) into 0 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 1.161 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.161 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.161 * [taylor]: Taking taylor expansion of x in y 1.161 * [backup-simplify]: Simplify x into x 1.161 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.161 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.161 * [taylor]: Taking taylor expansion of y in y 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (* 1 1) into 1 1.162 * [backup-simplify]: Simplify (/ 1 1) into 1 1.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.162 * [taylor]: Taking taylor expansion of x in x 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.163 * [backup-simplify]: Simplify (* 1 1) into 1 1.163 * [backup-simplify]: Simplify (/ 1 1) into 1 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.163 * [taylor]: Taking taylor expansion of y in x 1.163 * [backup-simplify]: Simplify y into y 1.163 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.163 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.164 * [backup-simplify]: Simplify (* 1 1) into 1 1.164 * [backup-simplify]: Simplify (/ 1 1) into 1 1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.164 * [backup-simplify]: Simplify y into y 1.164 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.165 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.165 * [backup-simplify]: Simplify (+ 1 0) into 1 1.165 * [taylor]: Taking taylor expansion of 1 in y 1.165 * [backup-simplify]: Simplify 1 into 1 1.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [taylor]: Taking taylor expansion of 0 in y 1.166 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.168 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.168 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.168 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (* 1 1) into 1 1.169 * [backup-simplify]: Simplify (/ 1 1) into 1 1.169 * [backup-simplify]: Simplify (- 1) into -1 1.169 * [backup-simplify]: Simplify -1 into -1 1.169 * [backup-simplify]: Simplify 1 into 1 1.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.171 * [backup-simplify]: Simplify (- 0) into 0 1.172 * [backup-simplify]: Simplify (+ 0 0) into 0 1.172 * [taylor]: Taking taylor expansion of 0 in y 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.173 * [backup-simplify]: Simplify (- 0) into 0 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.175 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.176 * [backup-simplify]: Simplify (- 0) into 0 1.176 * [backup-simplify]: Simplify (+ 0 0) into 0 1.176 * [taylor]: Taking taylor expansion of 0 in y 1.176 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.178 * [backup-simplify]: Simplify (- 0) into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 1.179 * * * [progress]: simplifying candidates 1.182 * [simplify]: Simplifying: (- (log (- (pow x 4) (pow y 4))) (log (- (* x x) (* y y)))) (log (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (exp (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (/ (* (* (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4))) (- (pow x 4) (pow y 4))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))))) (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (* (* (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))) (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y 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(- (pow (sqrt x) 4) (pow y (/ 4 2))) (+ (sqrt (pow x 4)) (pow (sqrt y) 4)) (- (sqrt (pow x 4)) (pow (sqrt y) 4)) (+ (sqrt (pow x 4)) (sqrt (pow y 4))) (- (sqrt (pow x 4)) (sqrt (pow y 4))) (+ (sqrt (pow x 4)) (pow y (/ 4 2))) (- (sqrt (pow x 4)) (pow y (/ 4 2))) (+ (pow x (/ 4 2)) (pow (sqrt y) 4)) (- (pow x (/ 4 2)) (pow (sqrt y) 4)) (+ (pow x (/ 4 2)) (sqrt (pow y 4))) (- (pow x (/ 4 2)) (sqrt (pow y 4))) (+ (pow x (/ 4 2)) (pow y (/ 4 2))) (- (pow x (/ 4 2)) (pow y (/ 4 2))) (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (pow y 4)) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 1.188 * * [simplify]: Extracting # 0 : cost 0 1.188 * * [simplify]: Extracting # 1 : cost 0 1.189 * * [simplify]: Extracting # 2 : cost 0 1.190 * * [simplify]: Extracting # 3 : cost 0 1.190 * * [simplify]: Extracting # 4 : cost 0 1.191 * * [simplify]: Extracting # 5 : cost 0 1.191 * * [simplify]: Extracting # 6 : cost 0 1.192 * * [simplify]: iteration 0 : 221 enodes (cost 3074 ) 1.287 * * [simplify]: Extracting # 0 : cost 0 1.289 * * [simplify]: Extracting # 1 : cost 0 1.290 * * [simplify]: Extracting # 2 : cost 0 1.291 * * [simplify]: Extracting # 3 : cost 0 1.292 * * [simplify]: iteration 1 : 565 enodes (cost 2853 ) 2.202 * * [simplify]: Extracting # 0 : cost 0 2.208 * * [simplify]: Extracting # 1 : cost 0 2.216 * * [simplify]: Extracting # 2 : cost 0 2.223 * * [simplify]: Extracting # 3 : cost 0 2.229 * * [simplify]: Extracting # 4 : cost 0 2.236 * * [simplify]: iteration 2 : 3196 enodes (cost 2759 ) 4.198 * * [simplify]: Extracting # 0 : cost 0 4.210 * * [simplify]: Extracting # 1 : cost 0 4.222 * * [simplify]: Extracting # 2 : cost 0 4.234 * * [simplify]: Extracting # 3 : cost 0 4.245 * * [simplify]: iteration done: 5002 enodes (cost 2693 ) 4.247 * [simplify]: Simplified to: (log (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (log (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (exp (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (/ (pow (- (pow x 4) (pow y 4)) 3) (pow (- (pow x 2) (pow y 2)) 3)) (* (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))))) (cbrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (pow (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y))) 3) (sqrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))) (sqrt (/ (- (pow x 4) (pow y 4)) (- (* x x) (* y 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(sqrt (pow y 4)) (pow x 2)) (- (pow x 2) (sqrt (pow y 4))) (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (- (pow y 4)) (exp (- (* x x) (* y y))) (log (- (pow x 2) (pow y 2))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (pow (- (pow x 2) (pow y 2)) 3) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow x 6) (pow y 6)) (+ (+ (pow x 4) (pow y 4)) (* (* x x) (* y y))) (- (* y y)) (- (pow x 4) (pow y 4)) (+ (pow x 2) (pow y 2)) (+ x y) (- x y) (- (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) 4.249 * * * [progress]: adding candidates to table 5.040 * [progress]: [Phase 3 of 3] Extracting. 5.040 * * [regime]: Finding splitpoints for: (# #) 5.041 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 5.041 * * * * [regimes]: Trying to branch on (* y y) from (# #) 5.088 * * * * [regimes]: Trying to branch on (* x x) from (# #) 5.129 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 5.176 * * * * [regimes]: Trying to branch on y from (# #) 5.217 * * * * [regimes]: Trying to branch on x from (# #) 5.261 * * * [regime]: Found split indices: #