8.075 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.030 * * [simplify]: Extracting # 2 : cost 0 0.030 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: Extracting # 1 : cost 0 0.033 * * [simplify]: Extracting # 2 : cost 0 0.033 * * [simplify]: iteration 2 : 11 enodes (cost 7 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: Extracting # 1 : cost 0 0.036 * * [simplify]: Extracting # 2 : cost 0 0.036 * * [simplify]: iteration 3 : 13 enodes (cost 7 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.040 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.124 * * * [progress]: generating series expansions 0.124 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.124 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.124 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.125 * [taylor]: Taking taylor expansion of 1/2 in y 0.125 * [backup-simplify]: Simplify 1/2 into 1/2 0.125 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.125 * [taylor]: Taking taylor expansion of (+ x y) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [backup-simplify]: Simplify x into x 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ x 0) into x 0.125 * [backup-simplify]: Simplify (/ x 1) into x 0.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.125 * [taylor]: Taking taylor expansion of 1/2 in x 0.125 * [backup-simplify]: Simplify 1/2 into 1/2 0.125 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.125 * [taylor]: Taking taylor expansion of (+ x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (+ 0 y) into y 0.126 * [backup-simplify]: Simplify (/ y y) into 1 0.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.126 * [taylor]: Taking taylor expansion of 1/2 in x 0.126 * [backup-simplify]: Simplify 1/2 into 1/2 0.126 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.126 * [taylor]: Taking taylor expansion of (+ x y) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (+ 0 y) into y 0.126 * [backup-simplify]: Simplify (/ y y) into 1 0.127 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.127 * [taylor]: Taking taylor expansion of 1/2 in y 0.127 * [backup-simplify]: Simplify 1/2 into 1/2 0.127 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.128 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.128 * [taylor]: Taking taylor expansion of 1/2 in y 0.128 * [backup-simplify]: Simplify 1/2 into 1/2 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.128 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.129 * [backup-simplify]: Simplify 1/2 into 1/2 0.129 * [backup-simplify]: Simplify 1/2 into 1/2 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.140 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.140 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.140 * [taylor]: Taking taylor expansion of 1/2 in y 0.140 * [backup-simplify]: Simplify 1/2 into 1/2 0.140 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [backup-simplify]: Simplify x into x 0.141 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.141 * [taylor]: Taking taylor expansion of 1/2 in x 0.141 * [backup-simplify]: Simplify 1/2 into 1/2 0.141 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.141 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.142 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.142 * [taylor]: Taking taylor expansion of 1/2 in x 0.142 * [backup-simplify]: Simplify 1/2 into 1/2 0.142 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (+ 0 1) into 1 0.143 * [backup-simplify]: Simplify (* 1 y) into y 0.143 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.143 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.143 * [taylor]: Taking taylor expansion of 1/2 in y 0.143 * [backup-simplify]: Simplify 1/2 into 1/2 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.145 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.145 * [taylor]: Taking taylor expansion of 1/2 in y 0.145 * [backup-simplify]: Simplify 1/2 into 1/2 0.146 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1/2 into 1/2 0.150 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.150 * [backup-simplify]: Simplify 1/2 into 1/2 0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.160 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.160 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.160 * [taylor]: Taking taylor expansion of 1/2 in y 0.160 * [backup-simplify]: Simplify 1/2 into 1/2 0.160 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [backup-simplify]: Simplify x into x 0.161 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.161 * [taylor]: Taking taylor expansion of 1/2 in x 0.161 * [backup-simplify]: Simplify 1/2 into 1/2 0.161 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.162 * [taylor]: Taking taylor expansion of 1/2 in x 0.162 * [backup-simplify]: Simplify 1/2 into 1/2 0.162 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [backup-simplify]: Simplify y into y 0.162 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (+ 0 1) into 1 0.163 * [backup-simplify]: Simplify (* 1 y) into y 0.163 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.163 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.163 * [taylor]: Taking taylor expansion of 1/2 in y 0.163 * [backup-simplify]: Simplify 1/2 into 1/2 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.165 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.165 * [taylor]: Taking taylor expansion of 1/2 in y 0.165 * [backup-simplify]: Simplify 1/2 into 1/2 0.165 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1/2 into 1/2 0.169 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.169 * [backup-simplify]: Simplify 1/2 into 1/2 0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.178 * * * [progress]: simplifying candidates 0.180 * [simplify]: Simplifying: (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.183 * * [simplify]: Extracting # 0 : cost 0 0.183 * * [simplify]: Extracting # 1 : cost 0 0.183 * * [simplify]: Extracting # 2 : cost 0 0.184 * * [simplify]: Extracting # 3 : cost 0 0.184 * * [simplify]: Extracting # 4 : cost 0 0.184 * * [simplify]: Extracting # 5 : cost 0 0.184 * * [simplify]: iteration 0 : 112 enodes (cost 1073 ) 0.226 * * [simplify]: Extracting # 0 : cost 0 0.227 * * [simplify]: Extracting # 1 : cost 0 0.227 * * [simplify]: Extracting # 2 : cost 0 0.228 * * [simplify]: Extracting # 3 : cost 0 0.228 * * [simplify]: Extracting # 4 : cost 0 0.229 * * [simplify]: iteration 1 : 226 enodes (cost 974 ) 0.288 * * [simplify]: Extracting # 0 : cost 0 0.289 * * [simplify]: Extracting # 1 : cost 0 0.290 * * [simplify]: Extracting # 2 : cost 0 0.290 * * [simplify]: Extracting # 3 : cost 0 0.291 * * [simplify]: iteration 2 : 592 enodes (cost 943 ) 0.631 * * [simplify]: Extracting # 0 : cost 0 0.632 * * [simplify]: Extracting # 1 : cost 0 0.634 * * [simplify]: Extracting # 2 : cost 0 0.635 * * [simplify]: Extracting # 3 : cost 0 0.636 * * [simplify]: iteration 3 : 1531 enodes (cost 943 ) 2.542 * * [simplify]: Extracting # 0 : cost 0 2.551 * * [simplify]: Extracting # 1 : cost 0 2.556 * * [simplify]: Extracting # 2 : cost 0 2.561 * * [simplify]: Extracting # 3 : cost 0 2.572 * * [simplify]: Extracting # 4 : cost 0 2.577 * * [simplify]: iteration done: 5000 enodes (cost 942 ) 2.577 * [simplify]: Simplified to: (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (sqrt (exp (/ (+ x y) y))) (pow (/ (+ x y) (+ y y)) 3) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (pow (/ (+ x y) (+ y y)) 3) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (* -2 y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (* 2 (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (cbrt y))) (/ (cbrt (+ x y)) (* 2 (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) 2) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (* 2 (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* 2 (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* 2 (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* 2 (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* 2 (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* 2 (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (* (/ 2 (+ x y)) y) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (* (/ 2 (+ x y)) y) (* (/ 2 (+ x y)) y) (/ (+ x y) (* 2 (pow y 3))) (/ (+ x y) 0) (* (+ (* y (- y x)) (* x x)) (+ y y)) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 2.578 * * * [progress]: adding candidates to table 2.712 * * [progress]: iteration 2 / 4 2.712 * * * [progress]: picking best candidate 2.713 * * * * [pick]: Picked # 2.713 * * * [progress]: localizing error 2.723 * * * [progress]: generating rewritten candidates 2.723 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.741 * * * [progress]: generating series expansions 2.741 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.741 * [backup-simplify]: Simplify (* 1/2 (/ x y)) into (* 1/2 (/ x y)) 2.741 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (x y) around 0 2.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.741 * [taylor]: Taking taylor expansion of 1/2 in y 2.741 * [backup-simplify]: Simplify 1/2 into 1/2 2.741 * [taylor]: Taking taylor expansion of (/ x y) in y 2.741 * [taylor]: Taking taylor expansion of x in y 2.741 * [backup-simplify]: Simplify x into x 2.741 * [taylor]: Taking taylor expansion of y in y 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (/ x 1) into x 2.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.741 * [taylor]: Taking taylor expansion of 1/2 in x 2.741 * [backup-simplify]: Simplify 1/2 into 1/2 2.741 * [taylor]: Taking taylor expansion of (/ x y) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [taylor]: Taking taylor expansion of y in x 2.741 * [backup-simplify]: Simplify y into y 2.741 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.741 * [taylor]: Taking taylor expansion of 1/2 in x 2.741 * [backup-simplify]: Simplify 1/2 into 1/2 2.741 * [taylor]: Taking taylor expansion of (/ x y) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [taylor]: Taking taylor expansion of y in x 2.741 * [backup-simplify]: Simplify y into y 2.741 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.741 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 2.741 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.741 * [taylor]: Taking taylor expansion of 1/2 in y 2.741 * [backup-simplify]: Simplify 1/2 into 1/2 2.741 * [taylor]: Taking taylor expansion of y in y 2.741 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.742 * [backup-simplify]: Simplify 1/2 into 1/2 2.742 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 2.742 * [taylor]: Taking taylor expansion of 0 in y 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.744 * [taylor]: Taking taylor expansion of 0 in y 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.745 * [taylor]: Taking taylor expansion of 0 in y 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) x)) into (* 1/2 (/ x y)) 2.746 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 x) (/ 1 y))) into (* 1/2 (/ y x)) 2.746 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 2.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.746 * [taylor]: Taking taylor expansion of 1/2 in y 2.746 * [backup-simplify]: Simplify 1/2 into 1/2 2.746 * [taylor]: Taking taylor expansion of (/ y x) in y 2.746 * [taylor]: Taking taylor expansion of y in y 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [taylor]: Taking taylor expansion of x in y 2.746 * [backup-simplify]: Simplify x into x 2.746 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.746 * [taylor]: Taking taylor expansion of 1/2 in x 2.746 * [backup-simplify]: Simplify 1/2 into 1/2 2.746 * [taylor]: Taking taylor expansion of (/ y x) in x 2.746 * [taylor]: Taking taylor expansion of y in x 2.746 * [backup-simplify]: Simplify y into y 2.746 * [taylor]: Taking taylor expansion of x in x 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (/ y 1) into y 2.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.747 * [taylor]: Taking taylor expansion of 1/2 in x 2.747 * [backup-simplify]: Simplify 1/2 into 1/2 2.747 * [taylor]: Taking taylor expansion of (/ y x) in x 2.747 * [taylor]: Taking taylor expansion of y in x 2.747 * [backup-simplify]: Simplify y into y 2.747 * [taylor]: Taking taylor expansion of x in x 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ y 1) into y 2.747 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 2.747 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 2.747 * [taylor]: Taking taylor expansion of 1/2 in y 2.747 * [backup-simplify]: Simplify 1/2 into 1/2 2.747 * [taylor]: Taking taylor expansion of y in y 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.747 * [backup-simplify]: Simplify 1/2 into 1/2 2.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 2.748 * [taylor]: Taking taylor expansion of 0 in y 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.750 * [taylor]: Taking taylor expansion of 0 in y 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.753 * [taylor]: Taking taylor expansion of 0 in y 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) into (* 1/2 (/ x y)) 2.753 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* 1/2 (/ y x)) 2.753 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 2.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.753 * [taylor]: Taking taylor expansion of 1/2 in y 2.753 * [backup-simplify]: Simplify 1/2 into 1/2 2.753 * [taylor]: Taking taylor expansion of (/ y x) in y 2.753 * [taylor]: Taking taylor expansion of y in y 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [taylor]: Taking taylor expansion of x in y 2.753 * [backup-simplify]: Simplify x into x 2.753 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.753 * [taylor]: Taking taylor expansion of 1/2 in x 2.753 * [backup-simplify]: Simplify 1/2 into 1/2 2.753 * [taylor]: Taking taylor expansion of (/ y x) in x 2.753 * [taylor]: Taking taylor expansion of y in x 2.753 * [backup-simplify]: Simplify y into y 2.754 * [taylor]: Taking taylor expansion of x in x 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (/ y 1) into y 2.754 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.754 * [taylor]: Taking taylor expansion of 1/2 in x 2.754 * [backup-simplify]: Simplify 1/2 into 1/2 2.754 * [taylor]: Taking taylor expansion of (/ y x) in x 2.754 * [taylor]: Taking taylor expansion of y in x 2.754 * [backup-simplify]: Simplify y into y 2.754 * [taylor]: Taking taylor expansion of x in x 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (/ y 1) into y 2.754 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 2.754 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 2.754 * [taylor]: Taking taylor expansion of 1/2 in y 2.754 * [backup-simplify]: Simplify 1/2 into 1/2 2.754 * [taylor]: Taking taylor expansion of y in y 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.755 * [backup-simplify]: Simplify 1/2 into 1/2 2.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 2.756 * [taylor]: Taking taylor expansion of 0 in y 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.759 * [taylor]: Taking taylor expansion of 0 in y 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.763 * [taylor]: Taking taylor expansion of 0 in y 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) into (* 1/2 (/ x y)) 2.763 * * * [progress]: simplifying candidates 2.764 * [simplify]: Simplifying: (* 1/2 (/ x y)) (+ (log 1/2) (- (log x) (log y))) (+ (log 1/2) (log (/ x y))) (log (* 1/2 (/ x y))) (exp (* 1/2 (/ x y))) (* (* (* 1/2 1/2) 1/2) (/ (* (* x x) x) (* (* y y) y))) (* (* (* 1/2 1/2) 1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) 1)) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (/ (sqrt x) 1)) (* 1/2 (/ 1 (* (cbrt y) (cbrt y)))) (* 1/2 (/ 1 (sqrt y))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) 2.764 * * [simplify]: Extracting # 0 : cost 0 2.764 * * [simplify]: Extracting # 1 : cost 0 2.764 * * [simplify]: Extracting # 2 : cost 0 2.765 * * [simplify]: Extracting # 3 : cost 0 2.765 * * [simplify]: Extracting # 4 : cost 0 2.765 * * [simplify]: Extracting # 5 : cost 0 2.765 * * [simplify]: Extracting # 6 : cost 0 2.765 * * [simplify]: Extracting # 7 : cost 0 2.765 * * [simplify]: iteration 0 : 68 enodes (cost 277 ) 2.789 * * [simplify]: Extracting # 0 : cost 0 2.789 * * [simplify]: Extracting # 1 : cost 0 2.790 * * [simplify]: Extracting # 2 : cost 0 2.790 * * [simplify]: iteration 1 : 162 enodes (cost 250 ) 2.851 * * [simplify]: Extracting # 0 : cost 0 2.851 * * [simplify]: Extracting # 1 : cost 0 2.852 * * [simplify]: Extracting # 2 : cost 0 2.852 * * [simplify]: Extracting # 3 : cost 0 2.853 * * [simplify]: Extracting # 4 : cost 0 2.853 * * [simplify]: iteration 2 : 426 enodes (cost 230 ) 3.082 * * [simplify]: Extracting # 0 : cost 0 3.085 * * [simplify]: Extracting # 1 : cost 0 3.086 * * [simplify]: Extracting # 2 : cost 0 3.088 * * [simplify]: Extracting # 3 : cost 0 3.089 * * [simplify]: Extracting # 4 : cost 0 3.091 * * [simplify]: iteration 3 : 1067 enodes (cost 229 ) 4.231 * * [simplify]: Extracting # 0 : cost 0 4.239 * * [simplify]: Extracting # 1 : cost 0 4.243 * * [simplify]: Extracting # 2 : cost 0 4.247 * * [simplify]: Extracting # 3 : cost 0 4.252 * * [simplify]: Extracting # 4 : cost 0 4.256 * * [simplify]: iteration 4 : 2498 enodes (cost 229 ) 8.950 * * [simplify]: Extracting # 0 : cost 0 8.958 * * [simplify]: Extracting # 1 : cost 0 8.966 * * [simplify]: Extracting # 2 : cost 0 8.974 * * [simplify]: Extracting # 3 : cost 0 8.983 * * [simplify]: Extracting # 4 : cost 0 8.999 * * [simplify]: iteration done: 5000 enodes (cost 229 ) 9.000 * [simplify]: Simplified to: (* 1/2 (/ x y)) (log (* 1/2 (/ x y))) (log (* 1/2 (/ x y))) (log (* 1/2 (/ x y))) (sqrt (exp (/ x y))) (pow (* 1/2 (/ x y)) 3) (pow (* 1/2 (/ x y)) 3) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (pow (* 1/2 (/ x y)) 3) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (* (cbrt x) (cbrt x))) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (sqrt x)) (/ 1/2 (* (cbrt y) (cbrt y))) (/ 1/2 (sqrt y)) 1/2 1/2 (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) 9.000 * * * [progress]: adding candidates to table 9.120 * [progress]: [Phase 3 of 3] Extracting. 9.120 * * [regime]: Finding splitpoints for: (# #) 9.120 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y y)) y x) 9.120 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y y)) from (# #) 9.141 * * * * [regimes]: Trying to branch on y from (# #) 9.163 * * * * [regimes]: Trying to branch on x from (# #) 9.185 * * * [regime]: Found split indices: #