6.826 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying: (* (+ x y) (- x y)) 0.040 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (- h0 h1)) 0.044 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.046 * * [simplify]: iteration 1 : 24 enodes (cost 3 ) 0.049 * * [simplify]: iteration 2 : 59 enodes (cost 3 ) 0.052 * * [simplify]: iteration 3 : 157 enodes (cost 3 ) 0.055 * * [simplify]: iteration 4 : 289 enodes (cost 3 ) 0.058 * * [simplify]: iteration 5 : 423 enodes (cost 3 ) 0.063 * * [simplify]: iteration 6 : 644 enodes (cost 3 ) 0.072 * * [simplify]: iteration 7 : 1598 enodes (cost 3 ) 0.110 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.111 * * [progress]: iteration 1 / 4 0.111 * * * [progress]: picking best candidate 0.112 * * * * [pick]: Picked # 0.112 * * * [progress]: localizing error 0.117 * * * [progress]: generating rewritten candidates 0.117 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.154 * * * [progress]: generating series expansions 0.154 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.154 * [backup-simplify]: Simplify (* (+ x y) (- x y)) into (* (+ x y) (- x y)) 0.154 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.154 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.154 * [taylor]: Taking taylor expansion of (+ x y) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of (- x y) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.154 * [taylor]: Taking taylor expansion of (+ x y) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [taylor]: Taking taylor expansion of (- x y) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.154 * [taylor]: Taking taylor expansion of (+ x y) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [taylor]: Taking taylor expansion of (- x y) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [backup-simplify]: Simplify (+ 0 y) into y 0.154 * [backup-simplify]: Simplify (- y) into (- y) 0.154 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.154 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.155 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.155 * [taylor]: Taking taylor expansion of -1 in y 0.155 * [backup-simplify]: Simplify -1 into -1 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.157 * [taylor]: Taking taylor expansion of 1 in y 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (* -1 1) into -1 0.157 * [backup-simplify]: Simplify -1 into -1 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.161 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 0.161 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.161 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [backup-simplify]: Simplify x into x 0.161 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 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 (/ 1 x) in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [backup-simplify]: Simplify x into x 0.162 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.162 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 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 (/ 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 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 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of 1 in y 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.165 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.165 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 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)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.168 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (- 1) into -1 0.169 * [backup-simplify]: Simplify -1 into -1 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.179 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 0.179 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.179 * [taylor]: Taking taylor expansion of -1 in y 0.180 * [backup-simplify]: Simplify -1 into -1 0.180 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [backup-simplify]: Simplify x into x 0.180 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.180 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [backup-simplify]: Simplify x into x 0.180 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.180 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.180 * [taylor]: Taking taylor expansion of -1 in x 0.180 * [backup-simplify]: Simplify -1 into -1 0.180 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [backup-simplify]: Simplify y into y 0.180 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [backup-simplify]: Simplify y into y 0.181 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.181 * [taylor]: Taking taylor expansion of -1 in x 0.181 * [backup-simplify]: Simplify -1 into -1 0.181 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [backup-simplify]: Simplify y into y 0.181 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (+ 0 1) into 1 0.183 * [backup-simplify]: Simplify (- 1) into -1 0.183 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.183 * [backup-simplify]: Simplify (* 1 -1) into -1 0.183 * [backup-simplify]: Simplify (* -1 -1) into 1 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.185 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.185 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.188 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify (- 1) into -1 0.189 * [backup-simplify]: Simplify -1 into -1 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.192 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 0.197 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.199 * * * [progress]: simplifying candidates 0.200 * [simplify]: Simplifying: (expm1 (* (+ x y) (- x y))) (log1p (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ (log (+ x y)) (log (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma 1 x (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma 1 x (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma 1 x (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (+ x y) 1) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (+ x y) 1) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.200 * [simplify]: Sending expressions to egg_math: (expm1 (* (+ h0 h1) (- h0 h1))) (log1p (* (+ h0 h1) (- h0 h1))) (* (+ h0 h1) (- h0 h1)) (+ (log (+ h0 h1)) (log (- h0 h1))) (log (* (+ h0 h1) (- h0 h1))) (exp (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (* (+ h0 h1) (- h0 h1))) (cbrt (* (+ h0 h1) (- h0 h1)))) (cbrt (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1))) (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (* (+ (pow h0 3) (pow h1 3)) (- (pow h0 3) (pow h1 3))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (+ (pow h0 3) (pow h1 3)) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- (pow h0 3) (pow h1 3))) (* (- h0 h1) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ h0 h1)) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (+ h0 h1) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* (+ h0 h1) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (* (+ h0 h1) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt h1) (sqrt h1))))) (* (+ h0 h1) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1)))) (* (+ h0 h1) (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* h1 1)))) (* (+ h0 h1) (fma (- h1) 1 (* h1 1))) (* (+ h0 h1) (fma (sqrt h0) (sqrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* (+ h0 h1) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (* (+ h0 h1) (fma (sqrt h0) (sqrt h0) (- (* (sqrt h1) (sqrt h1))))) (* (+ h0 h1) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1)))) (* (+ h0 h1) (fma (sqrt h0) (sqrt h0) (- (* h1 1)))) (* (+ h0 h1) (fma (- h1) 1 (* h1 1))) (* (+ h0 h1) (fma 1 h0 (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* (+ h0 h1) (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (* (+ h0 h1) (fma 1 h0 (- (* (sqrt h1) (sqrt h1))))) (* (+ h0 h1) (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1)))) (* (+ h0 h1) (fma 1 h0 (- (* h1 1)))) (* (+ h0 h1) (fma (- h1) 1 (* h1 1))) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (+ h0 h1)) (* (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (+ h0 h1)) (* (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt h1) (sqrt h1)))) (+ h0 h1)) (* (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (+ h0 h1)) (* (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* h1 1))) (+ h0 h1)) (* (fma (- h1) 1 (* h1 1)) (+ h0 h1)) (* (fma (sqrt h0) (sqrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (+ h0 h1)) (* (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (+ h0 h1)) (* (fma (sqrt h0) (sqrt h0) (- (* (sqrt h1) (sqrt h1)))) (+ h0 h1)) (* (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (+ h0 h1)) (* (fma (sqrt h0) (sqrt h0) (- (* h1 1))) (+ h0 h1)) (* (fma (- h1) 1 (* h1 1)) (+ h0 h1)) (* (fma 1 h0 (- (* (cbrt h1) (* (cbrt h1) (cbrt h1))))) (+ h0 h1)) (* (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))) (+ h0 h1)) (* (fma 1 h0 (- (* (sqrt h1) (sqrt h1)))) (+ h0 h1)) (* (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))) (+ h0 h1)) (* (fma 1 h0 (- (* h1 1))) (+ h0 h1)) (* (fma (- h1) 1 (* h1 1)) (+ h0 h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* (+ h0 h1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (* (+ h0 h1) (sqrt (- h0 h1))) (* (+ h0 h1) 1) (* (+ h0 h1) (+ (sqrt h0) (sqrt h1))) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) (- h0 h1)) (* (sqrt (+ h0 h1)) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- (pow h0 3) (pow h1 3))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (pow h0 3) (pow h1 3)) (- h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- h0 h1)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.205 * * [simplify]: iteration 0 : 349 enodes (cost 495 ) 0.213 * * [simplify]: iteration 1 : 1721 enodes (cost 354 ) 0.243 * * [simplify]: iteration 2 : 5002 enodes (cost 354 ) 0.246 * * * [progress]: adding candidates to table 0.311 * * [progress]: iteration 2 / 4 0.311 * * * [progress]: picking best candidate 0.312 * * * * [pick]: Picked # 0.312 * * * [progress]: localizing error 0.319 * * * [progress]: generating rewritten candidates 0.319 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.355 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.398 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.408 * * * [progress]: generating series expansions 0.408 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.408 * [backup-simplify]: Simplify (/ (* (+ x y) (- (* x x) (* y y))) (+ x y)) into (- (pow x 2) (pow y 2)) 0.408 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [backup-simplify]: Simplify x into x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [backup-simplify]: Simplify y into y 0.409 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [backup-simplify]: Simplify y into y 0.409 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.409 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.409 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.409 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.411 * [backup-simplify]: Simplify (- 0) into 0 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (* 1 1) into 1 0.411 * [backup-simplify]: Simplify (- 1) into -1 0.412 * [backup-simplify]: Simplify -1 into -1 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.412 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.413 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.415 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.416 * [backup-simplify]: Simplify (/ (* (+ (/ 1 x) (/ 1 y)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (+ (/ 1 x) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.416 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.416 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [backup-simplify]: Simplify x into x 0.416 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.416 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [backup-simplify]: Simplify y into y 0.417 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.417 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.417 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [backup-simplify]: Simplify y into y 0.418 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.418 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.418 * [backup-simplify]: Simplify (+ 1 0) into 1 0.418 * [taylor]: Taking taylor expansion of 1 in y 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.420 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.420 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [backup-simplify]: Simplify (- 1) into -1 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.428 * [backup-simplify]: Simplify (/ (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.428 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.428 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [backup-simplify]: Simplify x into x 0.428 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.428 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [backup-simplify]: Simplify y into y 0.429 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.429 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.429 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [backup-simplify]: Simplify y into y 0.430 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.430 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.430 * [backup-simplify]: Simplify (+ 1 0) into 1 0.430 * [taylor]: Taking taylor expansion of 1 in y 0.430 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.433 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.433 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify (- 1) into -1 0.433 * [backup-simplify]: Simplify -1 into -1 0.433 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.440 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.440 * [backup-simplify]: Simplify (* (+ x y) (- (* x x) (* y y))) into (* (- (pow x 2) (pow y 2)) (+ x y)) 0.440 * [approximate]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 0.440 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [backup-simplify]: Simplify x into x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (+ x y) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [backup-simplify]: Simplify x into x 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.440 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [taylor]: Taking taylor expansion of (+ x y) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.440 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [taylor]: Taking taylor expansion of (+ x y) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [backup-simplify]: Simplify y into y 0.441 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.441 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.441 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.441 * [backup-simplify]: Simplify (+ 0 y) into y 0.441 * [backup-simplify]: Simplify (* (- (pow y 2)) y) into (* -1 (pow y 3)) 0.441 * [taylor]: Taking taylor expansion of (* -1 (pow y 3)) in y 0.441 * [taylor]: Taking taylor expansion of -1 in y 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.442 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 1) (* 0 y)) into (- (pow y 2)) 0.442 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 1 0) into 1 0.443 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 1) (* 1 y))) into y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 0) (+ (* 1 1) (* 0 y)))) into 1 0.446 * [taylor]: Taking taylor expansion of 1 in y 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (- 1) into -1 0.446 * [backup-simplify]: Simplify -1 into -1 0.447 * [backup-simplify]: Simplify (+ (* -1 (* (pow y 2) x)) (+ (* 1 (* y (pow x 2))) (* 1 (pow (* 1 x) 3)))) into (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2))) 0.447 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.447 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.447 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [backup-simplify]: Simplify x into x 0.447 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.447 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [backup-simplify]: Simplify x into x 0.447 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.448 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (* 1 1) into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [backup-simplify]: Simplify y into y 0.448 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (* 1 1) into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [backup-simplify]: Simplify y into y 0.449 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.449 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.449 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [backup-simplify]: Simplify y into y 0.449 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [backup-simplify]: Simplify y into y 0.450 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.450 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.451 * [backup-simplify]: Simplify (+ 0 1) into 1 0.451 * [backup-simplify]: Simplify (+ 1 0) into 1 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of 1 in y 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) 1)) into (/ 1 y) 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.454 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 (pow y 2)))) (+ (* (/ 1 y) 0) (* 0 1))) into (- (/ 1 (pow y 2))) 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (- (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into (- (/ 1 (pow y 3))) 0.459 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [backup-simplify]: Simplify (- 1) into -1 0.461 * [backup-simplify]: Simplify -1 into -1 0.461 * [backup-simplify]: Simplify (- 1) into -1 0.461 * [backup-simplify]: Simplify -1 into -1 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) (+ (* -1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 3)))) into (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) 0.462 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 0.462 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.462 * [taylor]: Taking taylor expansion of -1 in y 0.462 * [backup-simplify]: Simplify -1 into -1 0.462 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [backup-simplify]: Simplify x into x 0.462 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [backup-simplify]: Simplify x into x 0.462 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.462 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.463 * [taylor]: Taking taylor expansion of -1 in x 0.463 * [backup-simplify]: Simplify -1 into -1 0.463 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [backup-simplify]: Simplify y into y 0.463 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [backup-simplify]: Simplify y into y 0.464 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.464 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.464 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.464 * [taylor]: Taking taylor expansion of -1 in x 0.464 * [backup-simplify]: Simplify -1 into -1 0.464 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [backup-simplify]: Simplify y into y 0.464 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.468 * [backup-simplify]: Simplify y into y 0.468 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.468 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.468 * [backup-simplify]: Simplify (+ 0 1) into 1 0.468 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (* -1 1) into -1 0.469 * [taylor]: Taking taylor expansion of -1 in y 0.469 * [backup-simplify]: Simplify -1 into -1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) 1)) into (/ 1 y) 0.471 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* 0 1)) into (- (/ 1 y)) 0.471 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.472 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 (pow y 2)))) (+ (* (/ 1 y) 0) (* 0 1))) into (- (/ 1 (pow y 2))) 0.474 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 2)))) (+ (* 0 (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (- (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into (- (/ 1 (pow y 3))) 0.478 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 3)))) (+ (* 0 (- (/ 1 (pow y 2)))) (+ (* 0 (/ 1 y)) (* 0 1)))) into (/ 1 (pow y 3)) 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.478 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (- 1) into -1 0.479 * [backup-simplify]: Simplify -1 into -1 0.480 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) (+ (* 1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 3)))) into (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) 0.480 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.480 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 0.480 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.480 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [backup-simplify]: Simplify x into x 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [backup-simplify]: Simplify y into y 0.480 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [backup-simplify]: Simplify y into y 0.480 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.481 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.481 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.481 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify (+ 1 0) into 1 0.482 * [taylor]: Taking taylor expansion of 1 in y 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (- 1) into -1 0.483 * [backup-simplify]: Simplify -1 into -1 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.487 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.487 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.487 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [backup-simplify]: Simplify x into x 0.487 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.487 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [backup-simplify]: Simplify y into y 0.488 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.488 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.488 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [backup-simplify]: Simplify y into y 0.489 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.489 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.489 * [backup-simplify]: Simplify (+ 1 0) into 1 0.489 * [taylor]: Taking taylor expansion of 1 in y 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.491 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [backup-simplify]: Simplify (- 1) into -1 0.492 * [backup-simplify]: Simplify -1 into -1 0.492 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.494 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- 0) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.499 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.499 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.499 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.499 * [taylor]: Taking taylor expansion of x in y 0.499 * [backup-simplify]: Simplify x into x 0.499 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.499 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [backup-simplify]: Simplify y into y 0.500 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.500 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.500 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [backup-simplify]: Simplify y into y 0.501 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.501 * [backup-simplify]: Simplify (+ 1 0) into 1 0.501 * [taylor]: Taking taylor expansion of 1 in y 0.501 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.504 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [backup-simplify]: Simplify (- 1) into -1 0.504 * [backup-simplify]: Simplify -1 into -1 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.506 * [backup-simplify]: Simplify (- 0) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.509 * [backup-simplify]: Simplify (- 0) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.511 * * * [progress]: simplifying candidates 0.512 * [simplify]: Simplifying: (expm1 (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (log1p (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (- (+ (log (+ x y)) (log (- (* x x) (* y y)))) (log (+ x y))) (- (log (* (+ x y) (- (* x x) (* y y)))) (log (+ x y))) (log (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (exp (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (/ (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (* (+ x y) (+ x y)) (+ x y))) (/ (* (* (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y)))) (* (+ x y) (- (* x x) (* y y)))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (cbrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y)))) (cbrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (* (* (/ (* (+ x y) (- (* x x) (* y y))) (+ x y)) (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (sqrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (sqrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (- (* (+ x y) (- (* x x) (* y y)))) (- (+ x y)) (/ (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (- (* x x) (* y y)) (cbrt (+ x y))) (/ (+ x y) (sqrt (+ x y))) (/ (- (* x x) (* y y)) (sqrt (+ x y))) (/ (+ x y) 1) (/ (- (* x x) (* y y)) (+ x y)) (/ (+ x y) 1) (/ (- (* x x) (* y y)) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (* (+ x y) (- (* x x) (* y y)))) (/ (* (+ x y) (- (* x x) (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (+ x y) (- (* x x) (* y y))) (sqrt (+ x y))) (/ (* (+ x y) (- (* x x) (* y y))) 1) (/ (* (+ x y) (- (* x x) (* y y))) 1) (/ (+ x y) (- (* x x) (* y y))) (/ (* (+ x y) (- (* x x) (* y y))) (+ (pow x 3) (pow y 3))) (/ (* (+ x y) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (+ x y) (* (+ (* x x) (- (* y y) (* x y))) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (+ x y) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (* y y)))) (* (+ x y) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (+ x y) (* (- x y) (+ (* x x) (* y y)))) (* (+ x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (+ x y) (+ (* x x) (* y y))) (* (+ x y) (+ (* x x) (- (* y y) (* x y)))) (* (+ x y) (- x y)) (expm1 (* (+ x y) (- (* x x) (* y y)))) (log1p (* (+ x y) (- (* x x) (* y y)))) (* (+ x y) (- (* x x) (* y y))) (+ (log (+ x y)) (log (- (* x x) (* y y)))) (log (* (+ x y) (- (* x x) (* y y)))) (exp (* (+ x y) (- (* x x) (* y y)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (* (+ x y) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- (* x x) (* y y))))) (cbrt (* (+ x y) (- (* x x) (* y y)))) (* (* (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y)))) (* (+ x y) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- (* x x) (* y y)))) (* (+ (pow x 3) (pow y 3)) (- (pow (* x x) 3) (pow (* y y) 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (+ (pow x 3) (pow y 3)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (- (pow (* x x) 3) (pow (* y y) 3))) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- (* x x) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- x y) (+ (* x x) (* y y))) (* (sqrt (+ x y)) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ x y)) (sqrt (- (* x x) (* y y)))) (* (+ x y) (fma x x (- (* y y)))) (* (+ x y) (fma (- y) y (* y y))) (* (+ x y) (* x x)) (* (+ x y) (- (* y y))) (* (+ x y) (* x x)) (* (+ x y) (- (* y y))) (* (fma x x (- (* y y))) (+ x y)) (* (fma (- y) y (* y y)) (+ x y)) (* (* x x) (+ x y)) (* (- (* y y)) (+ x y)) (* (* x x) (+ x y)) (* (- (* y y)) (+ x y)) (* (+ x y) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (* (+ x y) (sqrt (- (* x x) (* y y)))) (* (+ x y) 1) (* (+ x y) (+ x y)) (* (cbrt (+ x y)) (- (* x x) (* y y))) (* (sqrt (+ x y)) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (pow (* x x) 3) (pow (* y y) 3))) (* (+ x y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (fma x x (- (* y y))) (fma (- y) y (* y y)) (expm1 (- (* x x) (* y y))) (log1p (- (* x x) (* y y))) (- (* y y)) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* 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)) (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- 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(pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.518 * * [simplify]: iteration 0 : 409 enodes (cost 763 ) 0.528 * * [simplify]: iteration 1 : 2588 enodes (cost 598 ) 0.589 * * [simplify]: iteration 2 : 5002 enodes (cost 591 ) 0.593 * * * [progress]: adding candidates to table 0.780 * [progress]: [Phase 3 of 3] Extracting. 0.780 * * [regime]: Finding splitpoints for: (# #) 0.780 * * * [regime-changes]: Trying 3 branch expressions: ((* (+ x y) (- x y)) y x) 0.780 * * * * [regimes]: Trying to branch on (* (+ x y) (- x y)) from (# #) 0.791 * * * * [regimes]: Trying to branch on y from (# #) 0.802 * * * * [regimes]: Trying to branch on x from (# #) 0.815 * * * [regime]: Found split indices: #