29.917 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.060 * * * [progress]: [2/2] Setting up program. 0.065 * [progress]: [Phase 2 of 3] Improving. 0.065 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.065 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.065 * * [simplify]: iteration 0: 5 enodes 0.068 * * [simplify]: iteration 1: 6 enodes 0.070 * * [simplify]: iteration complete: 6 enodes 0.070 * * [simplify]: Extracting #0: cost 1 inf + 0 0.070 * * [simplify]: Extracting #1: cost 3 inf + 0 0.070 * * [simplify]: Extracting #2: cost 5 inf + 0 0.070 * * [simplify]: Extracting #3: cost 2 inf + 43 0.070 * * [simplify]: Extracting #4: cost 0 inf + 206 0.071 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.072 * * [progress]: iteration 1 / 4 0.072 * * * [progress]: picking best candidate 0.076 * * * * [pick]: Picked # 0.076 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.095 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.176 * * * [progress]: generating series expansions 0.176 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.176 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.177 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [backup-simplify]: Simplify x into x 0.177 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [backup-simplify]: Simplify y into y 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [backup-simplify]: Simplify y into y 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.177 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.179 * [backup-simplify]: Simplify (* 1 1) into 1 0.179 * [backup-simplify]: Simplify (+ 0 1) into 1 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.184 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.184 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.186 * [backup-simplify]: Simplify x into x 0.186 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [backup-simplify]: Simplify y into y 0.186 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.188 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify (+ 0 1) into 1 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) 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 0) (* 0 1))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.209 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.209 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [backup-simplify]: Simplify x into x 0.211 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [backup-simplify]: Simplify y into y 0.211 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [backup-simplify]: Simplify y into y 0.213 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (+ 0 1) into 1 0.215 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.255 * * * [progress]: simplifying candidates 0.255 * * * * [progress]: [ 1 / 20 ] simplifiying candidate # 0.255 * * * * [progress]: [ 2 / 20 ] simplifiying candidate # 0.255 * * * * [progress]: [ 3 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 4 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 5 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 6 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 7 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 8 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 9 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 10 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 11 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 12 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 13 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 14 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 15 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 16 / 20 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y)))))> 0.256 * * * * [progress]: [ 17 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 18 / 20 ] simplifiying candidate # 0.256 * * * * [progress]: [ 19 / 20 ] simplifiying candidate # 0.257 * * * * [progress]: [ 20 / 20 ] simplifiying candidate # 0.257 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (real->posit16 (+ (* x x) (* y y))) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.258 * * [simplify]: iteration 0: 31 enodes 0.274 * * [simplify]: iteration 1: 101 enodes 0.338 * * [simplify]: iteration 2: 348 enodes 0.564 * * [simplify]: iteration 3: 1510 enodes 1.768 * * [simplify]: iteration complete: 5007 enodes 1.769 * * [simplify]: Extracting #0: cost 13 inf + 0 1.769 * * [simplify]: Extracting #1: cost 231 inf + 0 1.772 * * [simplify]: Extracting #2: cost 1407 inf + 1 1.780 * * [simplify]: Extracting #3: cost 1896 inf + 8639 1.801 * * [simplify]: Extracting #4: cost 1003 inf + 123150 1.857 * * [simplify]: Extracting #5: cost 146 inf + 297865 1.957 * * [simplify]: Extracting #6: cost 31 inf + 327118 2.079 * * [simplify]: Extracting #7: cost 5 inf + 331724 2.169 * * [simplify]: Extracting #8: cost 0 inf + 333189 2.255 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* y y) (* x x))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))) (- (* (* y y) (* y y)) (* (* x x) (- (* y y) (* x x)))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (real->posit16 (+ (* y y) (* x x))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 2.255 * * * [progress]: adding candidates to table 2.310 * * [progress]: iteration 2 / 4 2.310 * * * [progress]: picking best candidate 2.313 * * * * [pick]: Picked # 2.313 * * * [progress]: localizing error 2.356 * * * [progress]: generating rewritten candidates 2.356 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 28.342 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 28.425 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 29.022 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 37.206 * * * [progress]: generating series expansions 37.206 * * * * [progress]: [ 1 / 4 ] generating series at (2) 37.207 * [backup-simplify]: Simplify (/ (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) into (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) 37.207 * [approximate]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in (y x) around 0 37.207 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in x 37.207 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in x 37.207 * [taylor]: Taking taylor expansion of (pow x 6) in x 37.207 * [taylor]: Taking taylor expansion of x in x 37.207 * [backup-simplify]: Simplify 0 into 0 37.207 * [backup-simplify]: Simplify 1 into 1 37.207 * [taylor]: Taking taylor expansion of (pow y 6) in x 37.207 * [taylor]: Taking taylor expansion of y in x 37.207 * [backup-simplify]: Simplify y into y 37.207 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 37.207 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 37.207 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.207 * [taylor]: Taking taylor expansion of y in x 37.207 * [backup-simplify]: Simplify y into y 37.207 * [taylor]: Taking taylor expansion of (pow x 4) in x 37.207 * [taylor]: Taking taylor expansion of x in x 37.207 * [backup-simplify]: Simplify 0 into 0 37.207 * [backup-simplify]: Simplify 1 into 1 37.207 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.207 * [taylor]: Taking taylor expansion of x in x 37.207 * [backup-simplify]: Simplify 0 into 0 37.207 * [backup-simplify]: Simplify 1 into 1 37.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.207 * [taylor]: Taking taylor expansion of y in x 37.207 * [backup-simplify]: Simplify y into y 37.207 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.207 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 37.208 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 37.208 * [backup-simplify]: Simplify (+ 0 (pow y 6)) into (pow y 6) 37.208 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.208 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 37.208 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 37.208 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 37.208 * [backup-simplify]: Simplify (/ (pow y 6) (pow y 4)) into (pow y 2) 37.208 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 37.208 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 37.208 * [taylor]: Taking taylor expansion of (pow x 6) in y 37.208 * [taylor]: Taking taylor expansion of x in y 37.208 * [backup-simplify]: Simplify x into x 37.208 * [taylor]: Taking taylor expansion of (pow y 6) in y 37.208 * [taylor]: Taking taylor expansion of y in y 37.208 * [backup-simplify]: Simplify 0 into 0 37.208 * [backup-simplify]: Simplify 1 into 1 37.208 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 37.208 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 37.208 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.208 * [taylor]: Taking taylor expansion of y in y 37.208 * [backup-simplify]: Simplify 0 into 0 37.208 * [backup-simplify]: Simplify 1 into 1 37.208 * [taylor]: Taking taylor expansion of (pow x 4) in y 37.208 * [taylor]: Taking taylor expansion of x in y 37.208 * [backup-simplify]: Simplify x into x 37.208 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.208 * [taylor]: Taking taylor expansion of x in y 37.208 * [backup-simplify]: Simplify x into x 37.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.208 * [taylor]: Taking taylor expansion of y in y 37.208 * [backup-simplify]: Simplify 0 into 0 37.208 * [backup-simplify]: Simplify 1 into 1 37.208 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.209 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 37.209 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 37.209 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 37.209 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.209 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 37.209 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 37.209 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 37.209 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 37.209 * [taylor]: Taking taylor expansion of (/ (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2)))) in y 37.209 * [taylor]: Taking taylor expansion of (+ (pow x 6) (pow y 6)) in y 37.209 * [taylor]: Taking taylor expansion of (pow x 6) in y 37.209 * [taylor]: Taking taylor expansion of x in y 37.209 * [backup-simplify]: Simplify x into x 37.209 * [taylor]: Taking taylor expansion of (pow y 6) in y 37.209 * [taylor]: Taking taylor expansion of y in y 37.209 * [backup-simplify]: Simplify 0 into 0 37.209 * [backup-simplify]: Simplify 1 into 1 37.209 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 37.209 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 37.209 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.209 * [taylor]: Taking taylor expansion of y in y 37.209 * [backup-simplify]: Simplify 0 into 0 37.209 * [backup-simplify]: Simplify 1 into 1 37.209 * [taylor]: Taking taylor expansion of (pow x 4) in y 37.209 * [taylor]: Taking taylor expansion of x in y 37.209 * [backup-simplify]: Simplify x into x 37.209 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.210 * [taylor]: Taking taylor expansion of x in y 37.210 * [backup-simplify]: Simplify x into x 37.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.210 * [taylor]: Taking taylor expansion of y in y 37.210 * [backup-simplify]: Simplify 0 into 0 37.210 * [backup-simplify]: Simplify 1 into 1 37.210 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.210 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 37.210 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 37.210 * [backup-simplify]: Simplify (+ (pow x 6) 0) into (pow x 6) 37.210 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.210 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 37.210 * [backup-simplify]: Simplify (+ 0 (pow x 4)) into (pow x 4) 37.210 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 37.210 * [backup-simplify]: Simplify (/ (pow x 6) (pow x 4)) into (pow x 2) 37.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.210 * [taylor]: Taking taylor expansion of x in x 37.210 * [backup-simplify]: Simplify 0 into 0 37.210 * [backup-simplify]: Simplify 1 into 1 37.210 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 37.211 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 37.211 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (* 0 (pow x 3))) into 0 37.211 * [backup-simplify]: Simplify (+ 0 0) into 0 37.211 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 37.211 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 37.212 * [backup-simplify]: Simplify (+ 0 0) into 0 37.212 * [backup-simplify]: Simplify (+ 0 0) into 0 37.212 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))))) into 0 37.212 * [taylor]: Taking taylor expansion of 0 in x 37.212 * [backup-simplify]: Simplify 0 into 0 37.212 * [backup-simplify]: Simplify 0 into 0 37.213 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 37.213 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 37.213 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (* 0 (pow x 3)))) into 0 37.214 * [backup-simplify]: Simplify (+ 0 0) into 0 37.214 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 37.214 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 37.215 * [backup-simplify]: Simplify (+ 0 0) into 0 37.215 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.215 * [backup-simplify]: Simplify (* 1 1) into 1 37.215 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.215 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 37.215 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 37.215 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ (- (pow x 2)) (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 1 37.215 * [taylor]: Taking taylor expansion of 1 in x 37.215 * [backup-simplify]: Simplify 1 into 1 37.216 * [backup-simplify]: Simplify 1 into 1 37.216 * [backup-simplify]: Simplify 0 into 0 37.216 * [backup-simplify]: Simplify (* 1 1) into 1 37.216 * [backup-simplify]: Simplify 1 into 1 37.216 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 37.217 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 37.218 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 3))))) into 0 37.219 * [backup-simplify]: Simplify (+ 0 0) into 0 37.219 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 37.220 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2))))) into 0 37.221 * [backup-simplify]: Simplify (+ 0 0) into 0 37.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.222 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 37.222 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 37.223 * [backup-simplify]: Simplify (- 0) into 0 37.223 * [backup-simplify]: Simplify (+ 0 0) into 0 37.224 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 0 (pow x 4))) (* 0 (/ (- (pow x 2)) (pow x 4))) (* 1 (/ 0 (pow x 4))))) into 0 37.224 * [taylor]: Taking taylor expansion of 0 in x 37.224 * [backup-simplify]: Simplify 0 into 0 37.224 * [backup-simplify]: Simplify 0 into 0 37.224 * [backup-simplify]: Simplify 0 into 0 37.224 * [backup-simplify]: Simplify 0 into 0 37.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.225 * [backup-simplify]: Simplify 0 into 0 37.226 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 37.228 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 37.229 * [backup-simplify]: Simplify (+ (* (pow x 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 3)))))) into 0 37.229 * [backup-simplify]: Simplify (+ 0 0) into 0 37.230 * [backup-simplify]: Simplify (* 1 1) into 1 37.230 * [backup-simplify]: Simplify (* 1 1) into 1 37.231 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 37.233 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x 2)))))) into 0 37.233 * [backup-simplify]: Simplify (+ 1 0) into 1 37.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.235 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 37.236 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 37.236 * [backup-simplify]: Simplify (- 0) into 0 37.236 * [backup-simplify]: Simplify (+ 1 0) into 1 37.237 * [backup-simplify]: Simplify (- (/ 0 (pow x 4)) (+ (* (pow x 2) (/ 1 (pow x 4))) (* 0 (/ 0 (pow x 4))) (* 1 (/ (- (pow x 2)) (pow x 4))) (* 0 (/ 0 (pow x 4))))) into 0 37.237 * [taylor]: Taking taylor expansion of 0 in x 37.237 * [backup-simplify]: Simplify 0 into 0 37.237 * [backup-simplify]: Simplify 0 into 0 37.237 * [backup-simplify]: Simplify 0 into 0 37.238 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (pow x 2)) 37.239 * [backup-simplify]: Simplify (/ (+ (* (* (/ 1 y) (/ 1 y)) (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y)))) (* (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (/ 1 x) (/ 1 x)))) (+ (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (- (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y))) (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) 37.239 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in (y x) around 0 37.239 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 37.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 37.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 37.239 * [taylor]: Taking taylor expansion of (pow y 6) in x 37.239 * [taylor]: Taking taylor expansion of y in x 37.239 * [backup-simplify]: Simplify y into y 37.239 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.240 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 37.240 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 37.240 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 37.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 37.240 * [taylor]: Taking taylor expansion of (pow x 6) in x 37.240 * [taylor]: Taking taylor expansion of x in x 37.240 * [backup-simplify]: Simplify 0 into 0 37.240 * [backup-simplify]: Simplify 1 into 1 37.241 * [backup-simplify]: Simplify (* 1 1) into 1 37.241 * [backup-simplify]: Simplify (* 1 1) into 1 37.242 * [backup-simplify]: Simplify (* 1 1) into 1 37.242 * [backup-simplify]: Simplify (/ 1 1) into 1 37.242 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 37.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 37.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 37.242 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.242 * [taylor]: Taking taylor expansion of y in x 37.242 * [backup-simplify]: Simplify y into y 37.243 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.243 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 37.243 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 37.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 37.243 * [taylor]: Taking taylor expansion of (pow x 4) in x 37.243 * [taylor]: Taking taylor expansion of x in x 37.243 * [backup-simplify]: Simplify 0 into 0 37.243 * [backup-simplify]: Simplify 1 into 1 37.244 * [backup-simplify]: Simplify (* 1 1) into 1 37.244 * [backup-simplify]: Simplify (* 1 1) into 1 37.244 * [backup-simplify]: Simplify (/ 1 1) into 1 37.244 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.244 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.244 * [taylor]: Taking taylor expansion of x in x 37.245 * [backup-simplify]: Simplify 0 into 0 37.245 * [backup-simplify]: Simplify 1 into 1 37.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.245 * [taylor]: Taking taylor expansion of y in x 37.245 * [backup-simplify]: Simplify y into y 37.245 * [backup-simplify]: Simplify (* 1 1) into 1 37.245 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.245 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.245 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.246 * [backup-simplify]: Simplify (+ 0 1) into 1 37.246 * [backup-simplify]: Simplify (+ 0 1) into 1 37.247 * [backup-simplify]: Simplify (+ 1 0) into 1 37.247 * [backup-simplify]: Simplify (/ 1 1) into 1 37.247 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 37.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 37.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 37.247 * [taylor]: Taking taylor expansion of (pow y 6) in y 37.247 * [taylor]: Taking taylor expansion of y in y 37.247 * [backup-simplify]: Simplify 0 into 0 37.248 * [backup-simplify]: Simplify 1 into 1 37.248 * [backup-simplify]: Simplify (* 1 1) into 1 37.248 * [backup-simplify]: Simplify (* 1 1) into 1 37.249 * [backup-simplify]: Simplify (* 1 1) into 1 37.249 * [backup-simplify]: Simplify (/ 1 1) into 1 37.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 37.249 * [taylor]: Taking taylor expansion of (pow x 6) in y 37.249 * [taylor]: Taking taylor expansion of x in y 37.249 * [backup-simplify]: Simplify x into x 37.249 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.250 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 37.250 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 37.250 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 37.250 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 37.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 37.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.250 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.250 * [taylor]: Taking taylor expansion of y in y 37.250 * [backup-simplify]: Simplify 0 into 0 37.250 * [backup-simplify]: Simplify 1 into 1 37.251 * [backup-simplify]: Simplify (* 1 1) into 1 37.251 * [backup-simplify]: Simplify (* 1 1) into 1 37.251 * [backup-simplify]: Simplify (/ 1 1) into 1 37.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 37.252 * [taylor]: Taking taylor expansion of (pow x 4) in y 37.252 * [taylor]: Taking taylor expansion of x in y 37.252 * [backup-simplify]: Simplify x into x 37.252 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.252 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 37.252 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 37.252 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.252 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.252 * [taylor]: Taking taylor expansion of x in y 37.252 * [backup-simplify]: Simplify x into x 37.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.252 * [taylor]: Taking taylor expansion of y in y 37.252 * [backup-simplify]: Simplify 0 into 0 37.252 * [backup-simplify]: Simplify 1 into 1 37.252 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.253 * [backup-simplify]: Simplify (* 1 1) into 1 37.253 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.253 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.254 * [backup-simplify]: Simplify (+ 1 0) into 1 37.254 * [backup-simplify]: Simplify (+ 1 0) into 1 37.255 * [backup-simplify]: Simplify (+ 1 0) into 1 37.255 * [backup-simplify]: Simplify (/ 1 1) into 1 37.255 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 37.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 37.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 37.255 * [taylor]: Taking taylor expansion of (pow y 6) in y 37.255 * [taylor]: Taking taylor expansion of y in y 37.255 * [backup-simplify]: Simplify 0 into 0 37.255 * [backup-simplify]: Simplify 1 into 1 37.256 * [backup-simplify]: Simplify (* 1 1) into 1 37.256 * [backup-simplify]: Simplify (* 1 1) into 1 37.256 * [backup-simplify]: Simplify (* 1 1) into 1 37.257 * [backup-simplify]: Simplify (/ 1 1) into 1 37.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 37.257 * [taylor]: Taking taylor expansion of (pow x 6) in y 37.257 * [taylor]: Taking taylor expansion of x in y 37.257 * [backup-simplify]: Simplify x into x 37.257 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.257 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 37.257 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 37.258 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 37.258 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 37.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 37.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.258 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.258 * [taylor]: Taking taylor expansion of y in y 37.258 * [backup-simplify]: Simplify 0 into 0 37.258 * [backup-simplify]: Simplify 1 into 1 37.258 * [backup-simplify]: Simplify (* 1 1) into 1 37.259 * [backup-simplify]: Simplify (* 1 1) into 1 37.259 * [backup-simplify]: Simplify (/ 1 1) into 1 37.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 37.259 * [taylor]: Taking taylor expansion of (pow x 4) in y 37.259 * [taylor]: Taking taylor expansion of x in y 37.259 * [backup-simplify]: Simplify x into x 37.259 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.260 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 37.260 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 37.260 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.260 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.260 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.260 * [taylor]: Taking taylor expansion of x in y 37.260 * [backup-simplify]: Simplify x into x 37.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.260 * [taylor]: Taking taylor expansion of y in y 37.260 * [backup-simplify]: Simplify 0 into 0 37.260 * [backup-simplify]: Simplify 1 into 1 37.260 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.260 * [backup-simplify]: Simplify (* 1 1) into 1 37.261 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.261 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.261 * [backup-simplify]: Simplify (+ 1 0) into 1 37.262 * [backup-simplify]: Simplify (+ 1 0) into 1 37.262 * [backup-simplify]: Simplify (+ 1 0) into 1 37.263 * [backup-simplify]: Simplify (/ 1 1) into 1 37.263 * [taylor]: Taking taylor expansion of 1 in x 37.263 * [backup-simplify]: Simplify 1 into 1 37.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.266 * [backup-simplify]: Simplify (+ 0 0) into 0 37.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.269 * [backup-simplify]: Simplify (+ 0 0) into 0 37.269 * [backup-simplify]: Simplify (+ 0 0) into 0 37.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 37.270 * [taylor]: Taking taylor expansion of 0 in x 37.270 * [backup-simplify]: Simplify 0 into 0 37.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.274 * [backup-simplify]: Simplify (+ 0 0) into 0 37.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.289 * [backup-simplify]: Simplify (+ 0 0) into 0 37.289 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 37.289 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 37.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 37.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.290 * [taylor]: Taking taylor expansion of x in x 37.290 * [backup-simplify]: Simplify 0 into 0 37.290 * [backup-simplify]: Simplify 1 into 1 37.291 * [backup-simplify]: Simplify (* 1 1) into 1 37.291 * [backup-simplify]: Simplify (/ 1 1) into 1 37.291 * [backup-simplify]: Simplify 1 into 1 37.291 * [backup-simplify]: Simplify 1 into 1 37.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.296 * [backup-simplify]: Simplify (+ 0 0) into 0 37.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.300 * [backup-simplify]: Simplify (+ 0 0) into 0 37.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.300 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 37.301 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 37.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 37.302 * [backup-simplify]: Simplify (- 0) into 0 37.302 * [backup-simplify]: Simplify (+ 0 0) into 0 37.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 37.304 * [taylor]: Taking taylor expansion of 0 in x 37.304 * [backup-simplify]: Simplify 0 into 0 37.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.305 * [backup-simplify]: Simplify 0 into 0 37.305 * [backup-simplify]: Simplify 0 into 0 37.305 * [backup-simplify]: Simplify 0 into 0 37.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.311 * [backup-simplify]: Simplify (+ 0 0) into 0 37.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.315 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 4))) into (/ 1 (pow x 4)) 37.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.317 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 37.317 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 37.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 37.318 * [backup-simplify]: Simplify (- 0) into 0 37.318 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 37.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow x 4)) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow x 2)) (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into 0 37.320 * [taylor]: Taking taylor expansion of 0 in x 37.320 * [backup-simplify]: Simplify 0 into 0 37.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.322 * [backup-simplify]: Simplify 0 into 0 37.322 * [backup-simplify]: Simplify 0 into 0 37.322 * [backup-simplify]: Simplify 0 into 0 37.323 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow y 2) (pow x 2)) 37.324 * [backup-simplify]: Simplify (/ (+ (* (* (/ 1 (- y)) (/ 1 (- y))) (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y))))) (* (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x))))) (+ (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (- (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) 37.324 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in (y x) around 0 37.324 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in x 37.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in x 37.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 37.325 * [taylor]: Taking taylor expansion of (pow y 6) in x 37.325 * [taylor]: Taking taylor expansion of y in x 37.325 * [backup-simplify]: Simplify y into y 37.325 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.325 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 37.325 * [backup-simplify]: Simplify (* (pow y 3) (pow y 3)) into (pow y 6) 37.325 * [backup-simplify]: Simplify (/ 1 (pow y 6)) into (/ 1 (pow y 6)) 37.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 37.325 * [taylor]: Taking taylor expansion of (pow x 6) in x 37.325 * [taylor]: Taking taylor expansion of x in x 37.325 * [backup-simplify]: Simplify 0 into 0 37.325 * [backup-simplify]: Simplify 1 into 1 37.326 * [backup-simplify]: Simplify (* 1 1) into 1 37.326 * [backup-simplify]: Simplify (* 1 1) into 1 37.327 * [backup-simplify]: Simplify (* 1 1) into 1 37.327 * [backup-simplify]: Simplify (/ 1 1) into 1 37.327 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 37.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 37.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 37.327 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.327 * [taylor]: Taking taylor expansion of y in x 37.327 * [backup-simplify]: Simplify y into y 37.327 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.328 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 37.328 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 37.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 37.328 * [taylor]: Taking taylor expansion of (pow x 4) in x 37.328 * [taylor]: Taking taylor expansion of x in x 37.328 * [backup-simplify]: Simplify 0 into 0 37.328 * [backup-simplify]: Simplify 1 into 1 37.328 * [backup-simplify]: Simplify (* 1 1) into 1 37.329 * [backup-simplify]: Simplify (* 1 1) into 1 37.329 * [backup-simplify]: Simplify (/ 1 1) into 1 37.329 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.329 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.329 * [taylor]: Taking taylor expansion of x in x 37.329 * [backup-simplify]: Simplify 0 into 0 37.329 * [backup-simplify]: Simplify 1 into 1 37.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.329 * [taylor]: Taking taylor expansion of y in x 37.329 * [backup-simplify]: Simplify y into y 37.330 * [backup-simplify]: Simplify (* 1 1) into 1 37.330 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.330 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.330 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.330 * [backup-simplify]: Simplify (+ 0 1) into 1 37.331 * [backup-simplify]: Simplify (+ 0 1) into 1 37.331 * [backup-simplify]: Simplify (+ 1 0) into 1 37.332 * [backup-simplify]: Simplify (/ 1 1) into 1 37.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 37.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 37.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 37.332 * [taylor]: Taking taylor expansion of (pow y 6) in y 37.332 * [taylor]: Taking taylor expansion of y in y 37.332 * [backup-simplify]: Simplify 0 into 0 37.332 * [backup-simplify]: Simplify 1 into 1 37.332 * [backup-simplify]: Simplify (* 1 1) into 1 37.333 * [backup-simplify]: Simplify (* 1 1) into 1 37.333 * [backup-simplify]: Simplify (* 1 1) into 1 37.333 * [backup-simplify]: Simplify (/ 1 1) into 1 37.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 37.333 * [taylor]: Taking taylor expansion of (pow x 6) in y 37.333 * [taylor]: Taking taylor expansion of x in y 37.333 * [backup-simplify]: Simplify x into x 37.334 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.334 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 37.334 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 37.334 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 37.334 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 37.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 37.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.334 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.334 * [taylor]: Taking taylor expansion of y in y 37.334 * [backup-simplify]: Simplify 0 into 0 37.334 * [backup-simplify]: Simplify 1 into 1 37.335 * [backup-simplify]: Simplify (* 1 1) into 1 37.335 * [backup-simplify]: Simplify (* 1 1) into 1 37.336 * [backup-simplify]: Simplify (/ 1 1) into 1 37.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 37.336 * [taylor]: Taking taylor expansion of (pow x 4) in y 37.336 * [taylor]: Taking taylor expansion of x in y 37.336 * [backup-simplify]: Simplify x into x 37.336 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.336 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 37.336 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 37.336 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.336 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.336 * [taylor]: Taking taylor expansion of x in y 37.336 * [backup-simplify]: Simplify x into x 37.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.337 * [taylor]: Taking taylor expansion of y in y 37.337 * [backup-simplify]: Simplify 0 into 0 37.337 * [backup-simplify]: Simplify 1 into 1 37.337 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.337 * [backup-simplify]: Simplify (* 1 1) into 1 37.337 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.337 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.338 * [backup-simplify]: Simplify (+ 1 0) into 1 37.338 * [backup-simplify]: Simplify (+ 1 0) into 1 37.339 * [backup-simplify]: Simplify (+ 1 0) into 1 37.339 * [backup-simplify]: Simplify (/ 1 1) into 1 37.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) in y 37.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) (/ 1 (pow x 6))) in y 37.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 37.340 * [taylor]: Taking taylor expansion of (pow y 6) in y 37.340 * [taylor]: Taking taylor expansion of y in y 37.340 * [backup-simplify]: Simplify 0 into 0 37.340 * [backup-simplify]: Simplify 1 into 1 37.340 * [backup-simplify]: Simplify (* 1 1) into 1 37.340 * [backup-simplify]: Simplify (* 1 1) into 1 37.341 * [backup-simplify]: Simplify (* 1 1) into 1 37.341 * [backup-simplify]: Simplify (/ 1 1) into 1 37.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in y 37.341 * [taylor]: Taking taylor expansion of (pow x 6) in y 37.341 * [taylor]: Taking taylor expansion of x in y 37.341 * [backup-simplify]: Simplify x into x 37.341 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.342 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 37.342 * [backup-simplify]: Simplify (* (pow x 3) (pow x 3)) into (pow x 6) 37.342 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 37.342 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 37.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 37.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.342 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.342 * [taylor]: Taking taylor expansion of y in y 37.342 * [backup-simplify]: Simplify 0 into 0 37.342 * [backup-simplify]: Simplify 1 into 1 37.343 * [backup-simplify]: Simplify (* 1 1) into 1 37.343 * [backup-simplify]: Simplify (* 1 1) into 1 37.344 * [backup-simplify]: Simplify (/ 1 1) into 1 37.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 37.344 * [taylor]: Taking taylor expansion of (pow x 4) in y 37.344 * [taylor]: Taking taylor expansion of x in y 37.344 * [backup-simplify]: Simplify x into x 37.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.344 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 37.344 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 37.344 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.344 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.344 * [taylor]: Taking taylor expansion of x in y 37.344 * [backup-simplify]: Simplify x into x 37.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.344 * [taylor]: Taking taylor expansion of y in y 37.344 * [backup-simplify]: Simplify 0 into 0 37.344 * [backup-simplify]: Simplify 1 into 1 37.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.345 * [backup-simplify]: Simplify (* 1 1) into 1 37.345 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.345 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.346 * [backup-simplify]: Simplify (+ 1 0) into 1 37.347 * [backup-simplify]: Simplify (+ 1 0) into 1 37.347 * [backup-simplify]: Simplify (+ 1 0) into 1 37.348 * [backup-simplify]: Simplify (/ 1 1) into 1 37.348 * [taylor]: Taking taylor expansion of 1 in x 37.348 * [backup-simplify]: Simplify 1 into 1 37.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.351 * [backup-simplify]: Simplify (+ 0 0) into 0 37.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.354 * [backup-simplify]: Simplify (+ 0 0) into 0 37.354 * [backup-simplify]: Simplify (+ 0 0) into 0 37.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 37.355 * [taylor]: Taking taylor expansion of 0 in x 37.355 * [backup-simplify]: Simplify 0 into 0 37.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.359 * [backup-simplify]: Simplify (+ 0 0) into 0 37.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.362 * [backup-simplify]: Simplify (+ 0 0) into 0 37.363 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 37.363 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 37.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow x 2)) 37.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.364 * [taylor]: Taking taylor expansion of x in x 37.364 * [backup-simplify]: Simplify 0 into 0 37.364 * [backup-simplify]: Simplify 1 into 1 37.365 * [backup-simplify]: Simplify (* 1 1) into 1 37.365 * [backup-simplify]: Simplify (/ 1 1) into 1 37.365 * [backup-simplify]: Simplify 1 into 1 37.365 * [backup-simplify]: Simplify 1 into 1 37.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.370 * [backup-simplify]: Simplify (+ 0 0) into 0 37.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.373 * [backup-simplify]: Simplify (+ 0 0) into 0 37.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.374 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 37.374 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 37.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 37.375 * [backup-simplify]: Simplify (- 0) into 0 37.375 * [backup-simplify]: Simplify (+ 0 0) into 0 37.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow x 2))) 1)) (* (/ 1 (pow x 2)) (/ 0 1)))) into 0 37.377 * [taylor]: Taking taylor expansion of 0 in x 37.377 * [backup-simplify]: Simplify 0 into 0 37.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.379 * [backup-simplify]: Simplify 0 into 0 37.379 * [backup-simplify]: Simplify 0 into 0 37.379 * [backup-simplify]: Simplify 0 into 0 37.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.384 * [backup-simplify]: Simplify (+ 0 0) into 0 37.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.387 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 4))) into (/ 1 (pow x 4)) 37.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.389 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 37.390 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 37.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 37.391 * [backup-simplify]: Simplify (- 0) into 0 37.391 * [backup-simplify]: Simplify (+ (/ 1 (pow x 4)) 0) into (/ 1 (pow x 4)) 37.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow x 4)) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow x 2)) (/ (- (/ 1 (pow x 2))) 1)) (* 0 (/ 0 1)))) into 0 37.393 * [taylor]: Taking taylor expansion of 0 in x 37.393 * [backup-simplify]: Simplify 0 into 0 37.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.395 * [backup-simplify]: Simplify 0 into 0 37.395 * [backup-simplify]: Simplify 0 into 0 37.395 * [backup-simplify]: Simplify 0 into 0 37.395 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow y 2) (pow x 2)) 37.395 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 37.396 * [backup-simplify]: Simplify (* (* x x) (* y y)) into (* (pow x 2) (pow y 2)) 37.396 * [approximate]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in (x y) around 0 37.396 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.396 * [taylor]: Taking taylor expansion of x in y 37.396 * [backup-simplify]: Simplify x into x 37.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.396 * [taylor]: Taking taylor expansion of y in y 37.396 * [backup-simplify]: Simplify 0 into 0 37.396 * [backup-simplify]: Simplify 1 into 1 37.396 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.396 * [taylor]: Taking taylor expansion of x in x 37.396 * [backup-simplify]: Simplify 0 into 0 37.396 * [backup-simplify]: Simplify 1 into 1 37.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.396 * [taylor]: Taking taylor expansion of y in x 37.396 * [backup-simplify]: Simplify y into y 37.396 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.396 * [taylor]: Taking taylor expansion of x in x 37.396 * [backup-simplify]: Simplify 0 into 0 37.396 * [backup-simplify]: Simplify 1 into 1 37.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.396 * [taylor]: Taking taylor expansion of y in x 37.396 * [backup-simplify]: Simplify y into y 37.397 * [backup-simplify]: Simplify (* 1 1) into 1 37.397 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.397 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.397 * [taylor]: Taking taylor expansion of y in y 37.397 * [backup-simplify]: Simplify 0 into 0 37.397 * [backup-simplify]: Simplify 1 into 1 37.397 * [backup-simplify]: Simplify (* 1 1) into 1 37.398 * [backup-simplify]: Simplify 1 into 1 37.398 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 37.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 37.399 * [taylor]: Taking taylor expansion of 0 in y 37.399 * [backup-simplify]: Simplify 0 into 0 37.399 * [backup-simplify]: Simplify 0 into 0 37.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.400 * [backup-simplify]: Simplify 0 into 0 37.400 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 37.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 37.402 * [taylor]: Taking taylor expansion of 0 in y 37.402 * [backup-simplify]: Simplify 0 into 0 37.402 * [backup-simplify]: Simplify 0 into 0 37.402 * [backup-simplify]: Simplify 0 into 0 37.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.403 * [backup-simplify]: Simplify 0 into 0 37.404 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 37.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 37.406 * [taylor]: Taking taylor expansion of 0 in y 37.406 * [backup-simplify]: Simplify 0 into 0 37.406 * [backup-simplify]: Simplify 0 into 0 37.406 * [backup-simplify]: Simplify (* 1 (pow (* y x) 2)) into (* (pow x 2) (pow y 2)) 37.407 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (/ 1 (* (pow x 2) (pow y 2))) 37.407 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in (x y) around 0 37.407 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.407 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.407 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.407 * [taylor]: Taking taylor expansion of x in y 37.407 * [backup-simplify]: Simplify x into x 37.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.407 * [taylor]: Taking taylor expansion of y in y 37.407 * [backup-simplify]: Simplify 0 into 0 37.407 * [backup-simplify]: Simplify 1 into 1 37.407 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.408 * [backup-simplify]: Simplify (* 1 1) into 1 37.408 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.408 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.408 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.408 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.408 * [taylor]: Taking taylor expansion of x in x 37.408 * [backup-simplify]: Simplify 0 into 0 37.408 * [backup-simplify]: Simplify 1 into 1 37.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.408 * [taylor]: Taking taylor expansion of y in x 37.408 * [backup-simplify]: Simplify y into y 37.409 * [backup-simplify]: Simplify (* 1 1) into 1 37.409 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.409 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.409 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.409 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.409 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.409 * [taylor]: Taking taylor expansion of x in x 37.409 * [backup-simplify]: Simplify 0 into 0 37.409 * [backup-simplify]: Simplify 1 into 1 37.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.409 * [taylor]: Taking taylor expansion of y in x 37.409 * [backup-simplify]: Simplify y into y 37.410 * [backup-simplify]: Simplify (* 1 1) into 1 37.410 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.410 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.410 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 37.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.410 * [taylor]: Taking taylor expansion of y in y 37.410 * [backup-simplify]: Simplify 0 into 0 37.410 * [backup-simplify]: Simplify 1 into 1 37.411 * [backup-simplify]: Simplify (* 1 1) into 1 37.411 * [backup-simplify]: Simplify (/ 1 1) into 1 37.411 * [backup-simplify]: Simplify 1 into 1 37.411 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 37.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 37.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 37.413 * [taylor]: Taking taylor expansion of 0 in y 37.413 * [backup-simplify]: Simplify 0 into 0 37.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.414 * [backup-simplify]: Simplify 0 into 0 37.415 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 37.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 37.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 37.417 * [taylor]: Taking taylor expansion of 0 in y 37.417 * [backup-simplify]: Simplify 0 into 0 37.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.419 * [backup-simplify]: Simplify 0 into 0 37.420 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 37.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 37.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 37.423 * [taylor]: Taking taylor expansion of 0 in y 37.423 * [backup-simplify]: Simplify 0 into 0 37.423 * [backup-simplify]: Simplify 0 into 0 37.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.425 * [backup-simplify]: Simplify 0 into 0 37.426 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 37.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 37.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 37.429 * [taylor]: Taking taylor expansion of 0 in y 37.429 * [backup-simplify]: Simplify 0 into 0 37.430 * [backup-simplify]: Simplify 0 into 0 37.430 * [backup-simplify]: Simplify 0 into 0 37.430 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 2)) into (* (pow x 2) (pow y 2)) 37.430 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 1 (* (pow x 2) (pow y 2))) 37.430 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in (x y) around 0 37.430 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.430 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.430 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.430 * [taylor]: Taking taylor expansion of x in y 37.430 * [backup-simplify]: Simplify x into x 37.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.430 * [taylor]: Taking taylor expansion of y in y 37.430 * [backup-simplify]: Simplify 0 into 0 37.430 * [backup-simplify]: Simplify 1 into 1 37.430 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.431 * [backup-simplify]: Simplify (* 1 1) into 1 37.431 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.431 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.431 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.431 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.431 * [taylor]: Taking taylor expansion of x in x 37.431 * [backup-simplify]: Simplify 0 into 0 37.431 * [backup-simplify]: Simplify 1 into 1 37.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.431 * [taylor]: Taking taylor expansion of y in x 37.431 * [backup-simplify]: Simplify y into y 37.432 * [backup-simplify]: Simplify (* 1 1) into 1 37.432 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.432 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.432 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.432 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.432 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.432 * [taylor]: Taking taylor expansion of x in x 37.432 * [backup-simplify]: Simplify 0 into 0 37.432 * [backup-simplify]: Simplify 1 into 1 37.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.432 * [taylor]: Taking taylor expansion of y in x 37.432 * [backup-simplify]: Simplify y into y 37.432 * [backup-simplify]: Simplify (* 1 1) into 1 37.433 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.433 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.433 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 37.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.433 * [taylor]: Taking taylor expansion of y in y 37.433 * [backup-simplify]: Simplify 0 into 0 37.433 * [backup-simplify]: Simplify 1 into 1 37.433 * [backup-simplify]: Simplify (* 1 1) into 1 37.434 * [backup-simplify]: Simplify (/ 1 1) into 1 37.434 * [backup-simplify]: Simplify 1 into 1 37.434 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 37.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 37.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 37.435 * [taylor]: Taking taylor expansion of 0 in y 37.435 * [backup-simplify]: Simplify 0 into 0 37.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.438 * [backup-simplify]: Simplify 0 into 0 37.439 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 37.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 37.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 37.441 * [taylor]: Taking taylor expansion of 0 in y 37.441 * [backup-simplify]: Simplify 0 into 0 37.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.443 * [backup-simplify]: Simplify 0 into 0 37.444 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 37.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 37.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 37.446 * [taylor]: Taking taylor expansion of 0 in y 37.446 * [backup-simplify]: Simplify 0 into 0 37.446 * [backup-simplify]: Simplify 0 into 0 37.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.448 * [backup-simplify]: Simplify 0 into 0 37.450 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 37.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 37.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 37.453 * [taylor]: Taking taylor expansion of 0 in y 37.453 * [backup-simplify]: Simplify 0 into 0 37.453 * [backup-simplify]: Simplify 0 into 0 37.453 * [backup-simplify]: Simplify 0 into 0 37.454 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 2)) into (* (pow x 2) (pow y 2)) 37.454 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 37.454 * [backup-simplify]: Simplify (- (* (* y y) (* y y)) (* (* x x) (* y y))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 37.454 * [approximate]: Taking taylor expansion of (- (pow y 4) (* (pow x 2) (pow y 2))) in (y x) around 0 37.454 * [taylor]: Taking taylor expansion of (- (pow y 4) (* (pow x 2) (pow y 2))) in x 37.454 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.454 * [taylor]: Taking taylor expansion of y in x 37.454 * [backup-simplify]: Simplify y into y 37.454 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.454 * [taylor]: Taking taylor expansion of x in x 37.454 * [backup-simplify]: Simplify 0 into 0 37.454 * [backup-simplify]: Simplify 1 into 1 37.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.454 * [taylor]: Taking taylor expansion of y in x 37.454 * [backup-simplify]: Simplify y into y 37.454 * [taylor]: Taking taylor expansion of (- (pow y 4) (* (pow x 2) (pow y 2))) in y 37.454 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.454 * [taylor]: Taking taylor expansion of y in y 37.454 * [backup-simplify]: Simplify 0 into 0 37.454 * [backup-simplify]: Simplify 1 into 1 37.454 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.455 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.455 * [taylor]: Taking taylor expansion of x in y 37.455 * [backup-simplify]: Simplify x into x 37.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.455 * [taylor]: Taking taylor expansion of y in y 37.455 * [backup-simplify]: Simplify 0 into 0 37.455 * [backup-simplify]: Simplify 1 into 1 37.455 * [taylor]: Taking taylor expansion of (- (pow y 4) (* (pow x 2) (pow y 2))) in y 37.455 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.455 * [taylor]: Taking taylor expansion of y in y 37.455 * [backup-simplify]: Simplify 0 into 0 37.455 * [backup-simplify]: Simplify 1 into 1 37.455 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.455 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.455 * [taylor]: Taking taylor expansion of x in y 37.455 * [backup-simplify]: Simplify x into x 37.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.455 * [taylor]: Taking taylor expansion of y in y 37.455 * [backup-simplify]: Simplify 0 into 0 37.455 * [backup-simplify]: Simplify 1 into 1 37.455 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.456 * [backup-simplify]: Simplify (* 1 1) into 1 37.456 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.456 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 37.456 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 37.456 * [taylor]: Taking taylor expansion of (- (pow x 2)) in x 37.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.456 * [taylor]: Taking taylor expansion of x in x 37.456 * [backup-simplify]: Simplify 0 into 0 37.456 * [backup-simplify]: Simplify 1 into 1 37.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.458 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 37.458 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 37.459 * [backup-simplify]: Simplify (- 0) into 0 37.459 * [backup-simplify]: Simplify (+ 0 0) into 0 37.459 * [taylor]: Taking taylor expansion of 0 in x 37.459 * [backup-simplify]: Simplify 0 into 0 37.459 * [backup-simplify]: Simplify 0 into 0 37.460 * [backup-simplify]: Simplify (* 1 1) into 1 37.460 * [backup-simplify]: Simplify (* 1 1) into 1 37.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.461 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 37.462 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 37.463 * [backup-simplify]: Simplify (- 0) into 0 37.463 * [backup-simplify]: Simplify (+ 1 0) into 1 37.463 * [taylor]: Taking taylor expansion of 1 in x 37.463 * [backup-simplify]: Simplify 1 into 1 37.463 * [backup-simplify]: Simplify 1 into 1 37.463 * [backup-simplify]: Simplify 0 into 0 37.464 * [backup-simplify]: Simplify (* 1 1) into 1 37.464 * [backup-simplify]: Simplify (- 1) into -1 37.464 * [backup-simplify]: Simplify -1 into -1 37.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.467 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 37.468 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.469 * [backup-simplify]: Simplify (- 0) into 0 37.469 * [backup-simplify]: Simplify (+ 0 0) into 0 37.469 * [taylor]: Taking taylor expansion of 0 in x 37.469 * [backup-simplify]: Simplify 0 into 0 37.469 * [backup-simplify]: Simplify 0 into 0 37.469 * [backup-simplify]: Simplify 0 into 0 37.469 * [backup-simplify]: Simplify 0 into 0 37.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.470 * [backup-simplify]: Simplify (- 0) into 0 37.470 * [backup-simplify]: Simplify 0 into 0 37.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.474 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 37.475 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.476 * [backup-simplify]: Simplify (- 0) into 0 37.476 * [backup-simplify]: Simplify (+ 0 0) into 0 37.476 * [taylor]: Taking taylor expansion of 0 in x 37.476 * [backup-simplify]: Simplify 0 into 0 37.476 * [backup-simplify]: Simplify 0 into 0 37.476 * [backup-simplify]: Simplify 0 into 0 37.477 * [backup-simplify]: Simplify (+ (* -1 (pow (* x y) 2)) (* 1 (pow (* 1 y) 4))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 37.477 * [backup-simplify]: Simplify (- (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y))) (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) 37.477 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in (y x) around 0 37.477 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in x 37.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 37.477 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.477 * [taylor]: Taking taylor expansion of y in x 37.477 * [backup-simplify]: Simplify y into y 37.477 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.478 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 37.478 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 37.478 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.478 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.478 * [taylor]: Taking taylor expansion of x in x 37.478 * [backup-simplify]: Simplify 0 into 0 37.478 * [backup-simplify]: Simplify 1 into 1 37.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.478 * [taylor]: Taking taylor expansion of y in x 37.478 * [backup-simplify]: Simplify y into y 37.479 * [backup-simplify]: Simplify (* 1 1) into 1 37.479 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.479 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.479 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in y 37.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.479 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.479 * [taylor]: Taking taylor expansion of y in y 37.479 * [backup-simplify]: Simplify 0 into 0 37.479 * [backup-simplify]: Simplify 1 into 1 37.480 * [backup-simplify]: Simplify (* 1 1) into 1 37.480 * [backup-simplify]: Simplify (* 1 1) into 1 37.480 * [backup-simplify]: Simplify (/ 1 1) into 1 37.480 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.480 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.480 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.480 * [taylor]: Taking taylor expansion of x in y 37.480 * [backup-simplify]: Simplify x into x 37.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.481 * [taylor]: Taking taylor expansion of y in y 37.481 * [backup-simplify]: Simplify 0 into 0 37.481 * [backup-simplify]: Simplify 1 into 1 37.481 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.481 * [backup-simplify]: Simplify (* 1 1) into 1 37.481 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.481 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in y 37.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.481 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.481 * [taylor]: Taking taylor expansion of y in y 37.481 * [backup-simplify]: Simplify 0 into 0 37.481 * [backup-simplify]: Simplify 1 into 1 37.482 * [backup-simplify]: Simplify (* 1 1) into 1 37.482 * [backup-simplify]: Simplify (* 1 1) into 1 37.483 * [backup-simplify]: Simplify (/ 1 1) into 1 37.483 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.483 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.483 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.483 * [taylor]: Taking taylor expansion of x in y 37.483 * [backup-simplify]: Simplify x into x 37.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.483 * [taylor]: Taking taylor expansion of y in y 37.483 * [backup-simplify]: Simplify 0 into 0 37.483 * [backup-simplify]: Simplify 1 into 1 37.483 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.483 * [backup-simplify]: Simplify (* 1 1) into 1 37.483 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.484 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.484 * [backup-simplify]: Simplify (+ 1 0) into 1 37.484 * [taylor]: Taking taylor expansion of 1 in x 37.484 * [backup-simplify]: Simplify 1 into 1 37.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.487 * [backup-simplify]: Simplify (+ 0 0) into 0 37.487 * [taylor]: Taking taylor expansion of 0 in x 37.487 * [backup-simplify]: Simplify 0 into 0 37.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.489 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 37.490 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 37.490 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 37.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.490 * [taylor]: Taking taylor expansion of x in x 37.490 * [backup-simplify]: Simplify 0 into 0 37.490 * [backup-simplify]: Simplify 1 into 1 37.490 * [backup-simplify]: Simplify (* 1 1) into 1 37.491 * [backup-simplify]: Simplify (/ 1 1) into 1 37.491 * [backup-simplify]: Simplify (- 1) into -1 37.491 * [backup-simplify]: Simplify -1 into -1 37.491 * [backup-simplify]: Simplify 1 into 1 37.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.494 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 37.495 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 37.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 37.495 * [backup-simplify]: Simplify (- 0) into 0 37.495 * [backup-simplify]: Simplify (+ 0 0) into 0 37.495 * [taylor]: Taking taylor expansion of 0 in x 37.495 * [backup-simplify]: Simplify 0 into 0 37.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.497 * [backup-simplify]: Simplify (- 0) into 0 37.497 * [backup-simplify]: Simplify 0 into 0 37.497 * [backup-simplify]: Simplify 0 into 0 37.497 * [backup-simplify]: Simplify 0 into 0 37.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.500 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 37.500 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 37.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 37.501 * [backup-simplify]: Simplify (- 0) into 0 37.501 * [backup-simplify]: Simplify (+ 0 0) into 0 37.501 * [taylor]: Taking taylor expansion of 0 in x 37.501 * [backup-simplify]: Simplify 0 into 0 37.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.503 * [backup-simplify]: Simplify (- 0) into 0 37.503 * [backup-simplify]: Simplify 0 into 0 37.503 * [backup-simplify]: Simplify 0 into 0 37.503 * [backup-simplify]: Simplify 0 into 0 37.503 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 4)) (* -1 (pow (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))) 2))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 37.503 * [backup-simplify]: Simplify (- (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) 37.504 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in (y x) around 0 37.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in x 37.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 37.504 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.504 * [taylor]: Taking taylor expansion of y in x 37.504 * [backup-simplify]: Simplify y into y 37.504 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.504 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 37.504 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 37.504 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.504 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.504 * [taylor]: Taking taylor expansion of x in x 37.504 * [backup-simplify]: Simplify 0 into 0 37.504 * [backup-simplify]: Simplify 1 into 1 37.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.504 * [taylor]: Taking taylor expansion of y in x 37.504 * [backup-simplify]: Simplify y into y 37.504 * [backup-simplify]: Simplify (* 1 1) into 1 37.505 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.505 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.505 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.505 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in y 37.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.505 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.505 * [taylor]: Taking taylor expansion of y in y 37.505 * [backup-simplify]: Simplify 0 into 0 37.505 * [backup-simplify]: Simplify 1 into 1 37.505 * [backup-simplify]: Simplify (* 1 1) into 1 37.505 * [backup-simplify]: Simplify (* 1 1) into 1 37.506 * [backup-simplify]: Simplify (/ 1 1) into 1 37.506 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.506 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.506 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.506 * [taylor]: Taking taylor expansion of x in y 37.506 * [backup-simplify]: Simplify x into x 37.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.506 * [taylor]: Taking taylor expansion of y in y 37.506 * [backup-simplify]: Simplify 0 into 0 37.506 * [backup-simplify]: Simplify 1 into 1 37.506 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.506 * [backup-simplify]: Simplify (* 1 1) into 1 37.506 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.506 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.506 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 2)))) in y 37.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.506 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.507 * [taylor]: Taking taylor expansion of y in y 37.507 * [backup-simplify]: Simplify 0 into 0 37.507 * [backup-simplify]: Simplify 1 into 1 37.507 * [backup-simplify]: Simplify (* 1 1) into 1 37.507 * [backup-simplify]: Simplify (* 1 1) into 1 37.507 * [backup-simplify]: Simplify (/ 1 1) into 1 37.507 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.507 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.507 * [taylor]: Taking taylor expansion of x in y 37.507 * [backup-simplify]: Simplify x into x 37.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.507 * [taylor]: Taking taylor expansion of y in y 37.508 * [backup-simplify]: Simplify 0 into 0 37.508 * [backup-simplify]: Simplify 1 into 1 37.508 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.508 * [backup-simplify]: Simplify (* 1 1) into 1 37.508 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.508 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.508 * [backup-simplify]: Simplify (+ 1 0) into 1 37.508 * [taylor]: Taking taylor expansion of 1 in x 37.509 * [backup-simplify]: Simplify 1 into 1 37.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.510 * [backup-simplify]: Simplify (+ 0 0) into 0 37.510 * [taylor]: Taking taylor expansion of 0 in x 37.510 * [backup-simplify]: Simplify 0 into 0 37.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.512 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 37.512 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 37.512 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 37.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.512 * [taylor]: Taking taylor expansion of x in x 37.512 * [backup-simplify]: Simplify 0 into 0 37.512 * [backup-simplify]: Simplify 1 into 1 37.513 * [backup-simplify]: Simplify (* 1 1) into 1 37.513 * [backup-simplify]: Simplify (/ 1 1) into 1 37.513 * [backup-simplify]: Simplify (- 1) into -1 37.513 * [backup-simplify]: Simplify -1 into -1 37.513 * [backup-simplify]: Simplify 1 into 1 37.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.516 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 37.516 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 37.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 37.517 * [backup-simplify]: Simplify (- 0) into 0 37.517 * [backup-simplify]: Simplify (+ 0 0) into 0 37.517 * [taylor]: Taking taylor expansion of 0 in x 37.517 * [backup-simplify]: Simplify 0 into 0 37.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.518 * [backup-simplify]: Simplify (- 0) into 0 37.518 * [backup-simplify]: Simplify 0 into 0 37.519 * [backup-simplify]: Simplify 0 into 0 37.519 * [backup-simplify]: Simplify 0 into 0 37.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.521 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 37.522 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 37.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 37.522 * [backup-simplify]: Simplify (- 0) into 0 37.523 * [backup-simplify]: Simplify (+ 0 0) into 0 37.523 * [taylor]: Taking taylor expansion of 0 in x 37.523 * [backup-simplify]: Simplify 0 into 0 37.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.524 * [backup-simplify]: Simplify (- 0) into 0 37.524 * [backup-simplify]: Simplify 0 into 0 37.524 * [backup-simplify]: Simplify 0 into 0 37.524 * [backup-simplify]: Simplify 0 into 0 37.524 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 4)) (* -1 (pow (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))) 2))) into (- (pow y 4) (* (pow x 2) (pow y 2))) 37.524 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 37.525 * [backup-simplify]: Simplify (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) into (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) 37.525 * [approximate]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in (x y) around 0 37.525 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in y 37.525 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in y 37.525 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.525 * [taylor]: Taking taylor expansion of y in y 37.525 * [backup-simplify]: Simplify 0 into 0 37.525 * [backup-simplify]: Simplify 1 into 1 37.525 * [taylor]: Taking taylor expansion of (pow x 4) in y 37.525 * [taylor]: Taking taylor expansion of x in y 37.525 * [backup-simplify]: Simplify x into x 37.525 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.525 * [taylor]: Taking taylor expansion of x in y 37.525 * [backup-simplify]: Simplify x into x 37.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.525 * [taylor]: Taking taylor expansion of y in y 37.525 * [backup-simplify]: Simplify 0 into 0 37.525 * [backup-simplify]: Simplify 1 into 1 37.525 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 37.525 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 37.525 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.525 * [taylor]: Taking taylor expansion of y in x 37.525 * [backup-simplify]: Simplify y into y 37.525 * [taylor]: Taking taylor expansion of (pow x 4) in x 37.525 * [taylor]: Taking taylor expansion of x in x 37.525 * [backup-simplify]: Simplify 0 into 0 37.525 * [backup-simplify]: Simplify 1 into 1 37.525 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.525 * [taylor]: Taking taylor expansion of x in x 37.525 * [backup-simplify]: Simplify 0 into 0 37.525 * [backup-simplify]: Simplify 1 into 1 37.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.525 * [taylor]: Taking taylor expansion of y in x 37.525 * [backup-simplify]: Simplify y into y 37.525 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) in x 37.525 * [taylor]: Taking taylor expansion of (+ (pow y 4) (pow x 4)) in x 37.525 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.525 * [taylor]: Taking taylor expansion of y in x 37.525 * [backup-simplify]: Simplify y into y 37.525 * [taylor]: Taking taylor expansion of (pow x 4) in x 37.525 * [taylor]: Taking taylor expansion of x in x 37.525 * [backup-simplify]: Simplify 0 into 0 37.525 * [backup-simplify]: Simplify 1 into 1 37.525 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.525 * [taylor]: Taking taylor expansion of x in x 37.525 * [backup-simplify]: Simplify 0 into 0 37.526 * [backup-simplify]: Simplify 1 into 1 37.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.526 * [taylor]: Taking taylor expansion of y in x 37.526 * [backup-simplify]: Simplify y into y 37.526 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.526 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 37.526 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 37.526 * [backup-simplify]: Simplify (+ (pow y 4) 0) into (pow y 4) 37.526 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.526 * [taylor]: Taking taylor expansion of y in y 37.526 * [backup-simplify]: Simplify 0 into 0 37.526 * [backup-simplify]: Simplify 1 into 1 37.526 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 37.526 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 37.527 * [backup-simplify]: Simplify (+ 0 0) into 0 37.527 * [backup-simplify]: Simplify (+ 0 0) into 0 37.527 * [taylor]: Taking taylor expansion of 0 in y 37.527 * [backup-simplify]: Simplify 0 into 0 37.527 * [backup-simplify]: Simplify 0 into 0 37.528 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 37.528 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 37.528 * [backup-simplify]: Simplify (+ 0 0) into 0 37.529 * [backup-simplify]: Simplify (* 1 1) into 1 37.529 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.529 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.529 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 37.529 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 37.529 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 37.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.529 * [taylor]: Taking taylor expansion of y in y 37.529 * [backup-simplify]: Simplify 0 into 0 37.529 * [backup-simplify]: Simplify 1 into 1 37.529 * [backup-simplify]: Simplify 0 into 0 37.530 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 37.530 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 37.531 * [backup-simplify]: Simplify (+ 0 0) into 0 37.531 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 37.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 37.532 * [backup-simplify]: Simplify (- 0) into 0 37.532 * [backup-simplify]: Simplify (+ 0 0) into 0 37.532 * [taylor]: Taking taylor expansion of 0 in y 37.532 * [backup-simplify]: Simplify 0 into 0 37.532 * [backup-simplify]: Simplify 0 into 0 37.532 * [backup-simplify]: Simplify 0 into 0 37.533 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 37.534 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 37.534 * [backup-simplify]: Simplify (* 1 1) into 1 37.535 * [backup-simplify]: Simplify (* 1 1) into 1 37.535 * [backup-simplify]: Simplify (+ 0 1) into 1 37.535 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 37.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 37.537 * [backup-simplify]: Simplify (- 0) into 0 37.537 * [backup-simplify]: Simplify (+ 1 0) into 1 37.537 * [taylor]: Taking taylor expansion of 1 in y 37.537 * [backup-simplify]: Simplify 1 into 1 37.537 * [backup-simplify]: Simplify 1 into 1 37.537 * [backup-simplify]: Simplify 0 into 0 37.538 * [backup-simplify]: Simplify (* 1 1) into 1 37.538 * [backup-simplify]: Simplify (- 1) into -1 37.538 * [backup-simplify]: Simplify -1 into -1 37.538 * [backup-simplify]: Simplify 0 into 0 37.539 * [backup-simplify]: Simplify (* 1 1) into 1 37.539 * [backup-simplify]: Simplify (* 1 1) into 1 37.539 * [backup-simplify]: Simplify 1 into 1 37.540 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 4)) (+ (* -1 (pow (* y x) 2)) (* 1 (pow (* 1 x) 4)))) into (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) 37.540 * [backup-simplify]: Simplify (+ (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (- (* (* (/ 1 y) (/ 1 y)) (* (/ 1 y) (/ 1 y))) (* (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) 37.540 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in (x y) around 0 37.540 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 37.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 37.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.540 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.540 * [taylor]: Taking taylor expansion of y in y 37.541 * [backup-simplify]: Simplify 0 into 0 37.541 * [backup-simplify]: Simplify 1 into 1 37.541 * [backup-simplify]: Simplify (* 1 1) into 1 37.541 * [backup-simplify]: Simplify (* 1 1) into 1 37.542 * [backup-simplify]: Simplify (/ 1 1) into 1 37.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 37.542 * [taylor]: Taking taylor expansion of (pow x 4) in y 37.542 * [taylor]: Taking taylor expansion of x in y 37.542 * [backup-simplify]: Simplify x into x 37.542 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.542 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 37.542 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 37.542 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.542 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.542 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.542 * [taylor]: Taking taylor expansion of x in y 37.543 * [backup-simplify]: Simplify x into x 37.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.543 * [taylor]: Taking taylor expansion of y in y 37.543 * [backup-simplify]: Simplify 0 into 0 37.543 * [backup-simplify]: Simplify 1 into 1 37.543 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.543 * [backup-simplify]: Simplify (* 1 1) into 1 37.543 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.543 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.543 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 37.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 37.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 37.544 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.544 * [taylor]: Taking taylor expansion of y in x 37.544 * [backup-simplify]: Simplify y into y 37.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.544 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 37.544 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 37.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 37.544 * [taylor]: Taking taylor expansion of (pow x 4) in x 37.544 * [taylor]: Taking taylor expansion of x in x 37.544 * [backup-simplify]: Simplify 0 into 0 37.544 * [backup-simplify]: Simplify 1 into 1 37.544 * [backup-simplify]: Simplify (* 1 1) into 1 37.545 * [backup-simplify]: Simplify (* 1 1) into 1 37.545 * [backup-simplify]: Simplify (/ 1 1) into 1 37.545 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.545 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.545 * [taylor]: Taking taylor expansion of x in x 37.545 * [backup-simplify]: Simplify 0 into 0 37.545 * [backup-simplify]: Simplify 1 into 1 37.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.545 * [taylor]: Taking taylor expansion of y in x 37.545 * [backup-simplify]: Simplify y into y 37.546 * [backup-simplify]: Simplify (* 1 1) into 1 37.546 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.546 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.546 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.546 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 37.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 37.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 37.546 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.546 * [taylor]: Taking taylor expansion of y in x 37.546 * [backup-simplify]: Simplify y into y 37.546 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.547 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 37.547 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 37.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 37.547 * [taylor]: Taking taylor expansion of (pow x 4) in x 37.547 * [taylor]: Taking taylor expansion of x in x 37.547 * [backup-simplify]: Simplify 0 into 0 37.547 * [backup-simplify]: Simplify 1 into 1 37.547 * [backup-simplify]: Simplify (* 1 1) into 1 37.548 * [backup-simplify]: Simplify (* 1 1) into 1 37.548 * [backup-simplify]: Simplify (/ 1 1) into 1 37.548 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.548 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.548 * [taylor]: Taking taylor expansion of x in x 37.548 * [backup-simplify]: Simplify 0 into 0 37.548 * [backup-simplify]: Simplify 1 into 1 37.548 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.548 * [taylor]: Taking taylor expansion of y in x 37.548 * [backup-simplify]: Simplify y into y 37.549 * [backup-simplify]: Simplify (* 1 1) into 1 37.549 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.549 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.549 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.550 * [backup-simplify]: Simplify (+ 0 1) into 1 37.550 * [backup-simplify]: Simplify (+ 1 0) into 1 37.550 * [taylor]: Taking taylor expansion of 1 in y 37.550 * [backup-simplify]: Simplify 1 into 1 37.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.553 * [backup-simplify]: Simplify (+ 0 0) into 0 37.553 * [backup-simplify]: Simplify (+ 0 0) into 0 37.553 * [taylor]: Taking taylor expansion of 0 in y 37.553 * [backup-simplify]: Simplify 0 into 0 37.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.556 * [backup-simplify]: Simplify (+ 0 0) into 0 37.557 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 37.557 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 37.557 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 37.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 37.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.557 * [taylor]: Taking taylor expansion of y in y 37.557 * [backup-simplify]: Simplify 0 into 0 37.557 * [backup-simplify]: Simplify 1 into 1 37.558 * [backup-simplify]: Simplify (* 1 1) into 1 37.558 * [backup-simplify]: Simplify (/ 1 1) into 1 37.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.562 * [backup-simplify]: Simplify (+ 0 0) into 0 37.562 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 37.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 37.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 37.564 * [backup-simplify]: Simplify (- 0) into 0 37.564 * [backup-simplify]: Simplify (+ 0 0) into 0 37.564 * [taylor]: Taking taylor expansion of 0 in y 37.564 * [backup-simplify]: Simplify 0 into 0 37.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.570 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 37.570 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 37.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 37.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 37.572 * [backup-simplify]: Simplify (- 0) into 0 37.572 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 37.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.572 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.572 * [taylor]: Taking taylor expansion of y in y 37.572 * [backup-simplify]: Simplify 0 into 0 37.572 * [backup-simplify]: Simplify 1 into 1 37.573 * [backup-simplify]: Simplify (* 1 1) into 1 37.573 * [backup-simplify]: Simplify (* 1 1) into 1 37.573 * [backup-simplify]: Simplify (/ 1 1) into 1 37.573 * [backup-simplify]: Simplify 1 into 1 37.573 * [backup-simplify]: Simplify (- 1) into -1 37.573 * [backup-simplify]: Simplify -1 into -1 37.573 * [backup-simplify]: Simplify 1 into 1 37.574 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (+ (* -1 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 4)))) into (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) 37.574 * [backup-simplify]: Simplify (+ (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (- (* (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) 37.574 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in (x y) around 0 37.574 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in y 37.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in y 37.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.574 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.574 * [taylor]: Taking taylor expansion of y in y 37.574 * [backup-simplify]: Simplify 0 into 0 37.574 * [backup-simplify]: Simplify 1 into 1 37.575 * [backup-simplify]: Simplify (* 1 1) into 1 37.575 * [backup-simplify]: Simplify (* 1 1) into 1 37.575 * [backup-simplify]: Simplify (/ 1 1) into 1 37.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 37.575 * [taylor]: Taking taylor expansion of (pow x 4) in y 37.575 * [taylor]: Taking taylor expansion of x in y 37.575 * [backup-simplify]: Simplify x into x 37.575 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.575 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 37.576 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 37.576 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 37.576 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 37.576 * [taylor]: Taking taylor expansion of (pow x 2) in y 37.576 * [taylor]: Taking taylor expansion of x in y 37.576 * [backup-simplify]: Simplify x into x 37.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.576 * [taylor]: Taking taylor expansion of y in y 37.576 * [backup-simplify]: Simplify 0 into 0 37.576 * [backup-simplify]: Simplify 1 into 1 37.576 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.576 * [backup-simplify]: Simplify (* 1 1) into 1 37.576 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 37.576 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.576 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 37.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 37.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 37.576 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.576 * [taylor]: Taking taylor expansion of y in x 37.576 * [backup-simplify]: Simplify y into y 37.576 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.576 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 37.576 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 37.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 37.577 * [taylor]: Taking taylor expansion of (pow x 4) in x 37.577 * [taylor]: Taking taylor expansion of x in x 37.577 * [backup-simplify]: Simplify 0 into 0 37.577 * [backup-simplify]: Simplify 1 into 1 37.577 * [backup-simplify]: Simplify (* 1 1) into 1 37.577 * [backup-simplify]: Simplify (* 1 1) into 1 37.577 * [backup-simplify]: Simplify (/ 1 1) into 1 37.577 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.577 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.577 * [taylor]: Taking taylor expansion of x in x 37.577 * [backup-simplify]: Simplify 0 into 0 37.577 * [backup-simplify]: Simplify 1 into 1 37.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.577 * [taylor]: Taking taylor expansion of y in x 37.577 * [backup-simplify]: Simplify y into y 37.578 * [backup-simplify]: Simplify (* 1 1) into 1 37.578 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.578 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.578 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.578 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2)))) in x 37.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) (/ 1 (pow x 4))) in x 37.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 37.578 * [taylor]: Taking taylor expansion of (pow y 4) in x 37.578 * [taylor]: Taking taylor expansion of y in x 37.578 * [backup-simplify]: Simplify y into y 37.578 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.578 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 37.578 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 37.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 37.578 * [taylor]: Taking taylor expansion of (pow x 4) in x 37.578 * [taylor]: Taking taylor expansion of x in x 37.578 * [backup-simplify]: Simplify 0 into 0 37.578 * [backup-simplify]: Simplify 1 into 1 37.579 * [backup-simplify]: Simplify (* 1 1) into 1 37.579 * [backup-simplify]: Simplify (* 1 1) into 1 37.579 * [backup-simplify]: Simplify (/ 1 1) into 1 37.579 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 37.579 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 37.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.579 * [taylor]: Taking taylor expansion of x in x 37.579 * [backup-simplify]: Simplify 0 into 0 37.579 * [backup-simplify]: Simplify 1 into 1 37.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 37.579 * [taylor]: Taking taylor expansion of y in x 37.579 * [backup-simplify]: Simplify y into y 37.579 * [backup-simplify]: Simplify (* 1 1) into 1 37.580 * [backup-simplify]: Simplify (* y y) into (pow y 2) 37.580 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 37.580 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 37.580 * [backup-simplify]: Simplify (+ 0 1) into 1 37.580 * [backup-simplify]: Simplify (+ 1 0) into 1 37.580 * [taylor]: Taking taylor expansion of 1 in y 37.580 * [backup-simplify]: Simplify 1 into 1 37.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.582 * [backup-simplify]: Simplify (+ 0 0) into 0 37.582 * [backup-simplify]: Simplify (+ 0 0) into 0 37.582 * [taylor]: Taking taylor expansion of 0 in y 37.582 * [backup-simplify]: Simplify 0 into 0 37.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.584 * [backup-simplify]: Simplify (+ 0 0) into 0 37.584 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 37.584 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 37.584 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 37.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 37.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 37.584 * [taylor]: Taking taylor expansion of y in y 37.584 * [backup-simplify]: Simplify 0 into 0 37.584 * [backup-simplify]: Simplify 1 into 1 37.585 * [backup-simplify]: Simplify (* 1 1) into 1 37.585 * [backup-simplify]: Simplify (/ 1 1) into 1 37.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.587 * [backup-simplify]: Simplify (+ 0 0) into 0 37.587 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 37.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 37.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 37.588 * [backup-simplify]: Simplify (- 0) into 0 37.588 * [backup-simplify]: Simplify (+ 0 0) into 0 37.588 * [taylor]: Taking taylor expansion of 0 in y 37.589 * [backup-simplify]: Simplify 0 into 0 37.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 37.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.591 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 37.591 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 37.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 37.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 37.593 * [backup-simplify]: Simplify (- 0) into 0 37.593 * [backup-simplify]: Simplify (+ (/ 1 (pow y 4)) 0) into (/ 1 (pow y 4)) 37.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 37.593 * [taylor]: Taking taylor expansion of (pow y 4) in y 37.593 * [taylor]: Taking taylor expansion of y in y 37.593 * [backup-simplify]: Simplify 0 into 0 37.593 * [backup-simplify]: Simplify 1 into 1 37.593 * [backup-simplify]: Simplify (* 1 1) into 1 37.593 * [backup-simplify]: Simplify (* 1 1) into 1 37.594 * [backup-simplify]: Simplify (/ 1 1) into 1 37.594 * [backup-simplify]: Simplify 1 into 1 37.594 * [backup-simplify]: Simplify (- 1) into -1 37.594 * [backup-simplify]: Simplify -1 into -1 37.594 * [backup-simplify]: Simplify 1 into 1 37.594 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (+ (* -1 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 4)))) into (- (+ (pow y 4) (pow x 4)) (* (pow x 2) (pow y 2))) 37.595 * * * [progress]: simplifying candidates 37.595 * * * * [progress]: [ 1 / 8398 ] simplifiying candidate # 37.595 * * * * [progress]: [ 2 / 8398 ] simplifiying candidate # 37.595 * * * * [progress]: [ 3 / 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8398 ] simplifiying candidate # 38.319 * * * * [progress]: [ 7103 / 8398 ] simplifiying candidate # 38.319 * * * * [progress]: [ 7104 / 8398 ] simplifiying candidate # 38.319 * * * * [progress]: [ 7105 / 8398 ] simplifiying candidate # 38.319 * * * * [progress]: [ 7106 / 8398 ] simplifiying candidate # 38.319 * * * * [progress]: [ 7107 / 8398 ] simplifiying candidate # 38.319 * * * * [progress]: [ 7108 / 8398 ] simplifiying candidate # 38.319 * * * * [progress]: [ 7109 / 8398 ] simplifiying candidate # 38.319 * * * * [progress]: [ 7110 / 8398 ] simplifiying candidate # 38.319 * * * * [progress]: [ 7111 / 8398 ] simplifiying candidate # 38.319 * * * * [progress]: [ 7112 / 8398 ] simplifiying candidate # 38.319 * * * * [progress]: [ 7113 / 8398 ] simplifiying candidate # 38.320 * * * * [progress]: [ 7114 / 8398 ] simplifiying candidate # 38.320 * * * * [progress]: [ 7115 / 8398 ] simplifiying candidate # 38.320 * * * * [progress]: [ 7116 / 8398 ] simplifiying candidate # 38.320 * * * * 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8398 ] simplifiying candidate # 38.323 * * * * [progress]: [ 7147 / 8398 ] simplifiying candidate # 38.323 * * * * [progress]: [ 7148 / 8398 ] simplifiying candidate # 38.323 * * * * [progress]: [ 7149 / 8398 ] simplifiying candidate # 38.323 * * * * [progress]: [ 7150 / 8398 ] simplifiying candidate # 38.323 * * * * [progress]: [ 7151 / 8398 ] simplifiying candidate # 38.324 * * * * [progress]: [ 7152 / 8398 ] simplifiying candidate # 38.324 * * * * [progress]: [ 7153 / 8398 ] simplifiying candidate # 38.324 * * * * [progress]: [ 7154 / 8398 ] simplifiying candidate # 38.324 * * * * [progress]: [ 7155 / 8398 ] simplifiying candidate #real (real->posit16 (/ (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))))> 38.324 * * * * [progress]: [ 7156 / 8398 ] simplifiying candidate # 38.324 * * * * [progress]: [ 7157 / 8398 ] simplifiying candidate # 38.324 * * * * [progress]: [ 7158 / 8398 ] simplifiying 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8398 ] simplifiying candidate # 38.326 * * * * [progress]: [ 7174 / 8398 ] simplifiying candidate # 38.326 * * * * [progress]: [ 7175 / 8398 ] simplifiying candidate # 38.326 * * * * [progress]: [ 7176 / 8398 ] simplifiying candidate # 38.326 * * * * [progress]: [ 7177 / 8398 ] simplifiying candidate # 38.326 * * * * [progress]: [ 7178 / 8398 ] simplifiying candidate # 38.326 * * * * [progress]: [ 7179 / 8398 ] simplifiying candidate # 38.326 * * * * [progress]: [ 7180 / 8398 ] simplifiying candidate # 38.326 * * * * [progress]: [ 7181 / 8398 ] simplifiying candidate # 38.326 * * * * [progress]: [ 7182 / 8398 ] simplifiying candidate # 38.326 * * * * [progress]: [ 7183 / 8398 ] simplifiying candidate # 38.326 * * * * [progress]: [ 7184 / 8398 ] simplifiying candidate # 38.327 * * * * [progress]: [ 7185 / 8398 ] simplifiying candidate # 38.327 * * * * [progress]: [ 7186 / 8398 ] simplifiying candidate # 38.327 * * * * [progress]: [ 7187 / 8398 ] simplifiying candidate # 38.327 * * * * 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8398 ] simplifiying candidate # 38.330 * * * * [progress]: [ 7218 / 8398 ] simplifiying candidate # 38.330 * * * * [progress]: [ 7219 / 8398 ] simplifiying candidate # 38.330 * * * * [progress]: [ 7220 / 8398 ] simplifiying candidate # 38.330 * * * * [progress]: [ 7221 / 8398 ] simplifiying candidate # 38.330 * * * * [progress]: [ 7222 / 8398 ] simplifiying candidate # 38.330 * * * * [progress]: [ 7223 / 8398 ] simplifiying candidate # 38.330 * * * * [progress]: [ 7224 / 8398 ] simplifiying candidate # 38.330 * * * * [progress]: [ 7225 / 8398 ] simplifiying candidate # 38.330 * * * * [progress]: [ 7226 / 8398 ] simplifiying candidate # 38.330 * * * * [progress]: [ 7227 / 8398 ] simplifiying candidate # 38.331 * * * * [progress]: [ 7228 / 8398 ] simplifiying candidate # 38.331 * * * * [progress]: [ 7229 / 8398 ] simplifiying candidate # 38.331 * * * * [progress]: [ 7230 / 8398 ] simplifiying candidate # 38.331 * * * * [progress]: [ 7231 / 8398 ] simplifiying candidate # 38.331 * * * * 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[progress]: [ 8302 / 8398 ] simplifiying candidate # 38.451 * * * * [progress]: [ 8303 / 8398 ] simplifiying candidate # 38.451 * * * * [progress]: [ 8304 / 8398 ] simplifiying candidate # 38.451 * * * * [progress]: [ 8305 / 8398 ] simplifiying candidate # 38.451 * * * * [progress]: [ 8306 / 8398 ] simplifiying candidate # 38.452 * * * * [progress]: [ 8307 / 8398 ] simplifiying candidate # 38.452 * * * * [progress]: [ 8308 / 8398 ] simplifiying candidate # 38.452 * * * * [progress]: [ 8309 / 8398 ] simplifiying candidate # 38.452 * * * * [progress]: [ 8310 / 8398 ] simplifiying candidate # 38.452 * * * * [progress]: [ 8311 / 8398 ] simplifiying candidate # 38.452 * * * * [progress]: [ 8312 / 8398 ] simplifiying candidate # 38.452 * * * * [progress]: [ 8313 / 8398 ] simplifiying candidate # 38.452 * * * * [progress]: [ 8314 / 8398 ] simplifiying candidate # 38.452 * * * * [progress]: [ 8315 / 8398 ] simplifiying candidate #real (real->posit16 (- (* (* y y) (* y y)) (* (* x x) (* y y))))))))> 38.452 * * * * [progress]: [ 8316 / 8398 ] simplifiying candidate # 38.453 * * * * [progress]: [ 8317 / 8398 ] simplifiying candidate # 38.453 * * * * [progress]: [ 8318 / 8398 ] simplifiying candidate # 38.453 * * * * [progress]: [ 8319 / 8398 ] simplifiying candidate # 38.453 * * * * [progress]: [ 8320 / 8398 ] simplifiying candidate # 38.453 * * * * [progress]: [ 8321 / 8398 ] simplifiying candidate # 38.453 * * * * [progress]: [ 8322 / 8398 ] simplifiying candidate # 38.453 * * * * [progress]: [ 8323 / 8398 ] simplifiying candidate # 38.453 * * * * [progress]: [ 8324 / 8398 ] simplifiying candidate # 38.453 * * * * [progress]: [ 8325 / 8398 ] simplifiying candidate # 38.453 * * * * [progress]: [ 8326 / 8398 ] simplifiying candidate # 38.454 * * * * [progress]: [ 8327 / 8398 ] simplifiying candidate # 38.454 * * * * [progress]: [ 8328 / 8398 ] simplifiying candidate # 38.454 * * * * [progress]: [ 8329 / 8398 ] simplifiying candidate # 38.454 * * * * [progress]: [ 8330 / 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8398 ] simplifiying candidate # 38.458 * * * * [progress]: [ 8375 / 8398 ] simplifiying candidate # 38.459 * * * * [progress]: [ 8376 / 8398 ] simplifiying candidate # 38.459 * * * * [progress]: [ 8377 / 8398 ] simplifiying candidate # 38.459 * * * * [progress]: [ 8378 / 8398 ] simplifiying candidate # 38.459 * * * * [progress]: [ 8379 / 8398 ] simplifiying candidate # 38.459 * * * * [progress]: [ 8380 / 8398 ] simplifiying candidate # 38.459 * * * * [progress]: [ 8381 / 8398 ] simplifiying candidate # 38.459 * * * * [progress]: [ 8382 / 8398 ] simplifiying candidate # 38.459 * * * * [progress]: [ 8383 / 8398 ] simplifiying candidate # 38.459 * * * * [progress]: [ 8384 / 8398 ] simplifiying candidate # 38.459 * * * * [progress]: [ 8385 / 8398 ] simplifiying candidate #real (real->posit16 (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))))> 38.460 * * * * [progress]: [ 8386 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8387 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8388 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8389 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8390 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8391 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8392 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8393 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8394 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8395 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8396 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8397 / 8398 ] simplifiying candidate # 38.460 * * * * [progress]: [ 8398 / 8398 ] simplifiying candidate # 38.773 * [simplify]: Simplifying: (- (log (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x)))) (log (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (log (/ (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x 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0: 463 enodes 39.473 * * [simplify]: iteration 1: 1342 enodes 40.314 * * [simplify]: iteration 2: 3622 enodes 41.548 * * [simplify]: iteration complete: 5008 enodes 41.555 * * [simplify]: Extracting #0: cost 138 inf + 0 41.558 * * [simplify]: Extracting #1: cost 723 inf + 1 41.566 * * [simplify]: Extracting #2: cost 1387 inf + 2091 41.585 * * [simplify]: Extracting #3: cost 902 inf + 79658 41.631 * * [simplify]: Extracting #4: cost 332 inf + 208518 41.702 * * [simplify]: Extracting #5: cost 71 inf + 311860 41.822 * * [simplify]: Extracting #6: cost 0 inf + 332102 41.918 * * [simplify]: Extracting #7: cost 0 inf + 328555 42.101 * [simplify]: Simplified to: (log (/ (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) y) (* (* y y) y))) (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))))) (log (/ (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) y) (* (* y y) y))) (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))))) (exp (/ (+ (* (* (* x x) (* x x)) (* x x)) (* (* (* y y) y) (* (* y 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y y) (- (* y y) (* x x))) (* (* y y) (- (* y y) (* x x))) (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))) (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))) (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))) 44.164 * * * [progress]: adding candidates to table 45.739 * [progress]: [Phase 3 of 3] Extracting. 45.740 * * [regime]: Finding splitpoints for: (# #) 45.740 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 45.740 * * * * [regimes]: Trying to branch on (* y y) from (# #) 45.762 * * * * [regimes]: Trying to branch on (* x x) from (# #) 45.786 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 45.810 * * * * [regimes]: Trying to branch on y from (# #) 45.839 * * * * [regimes]: Trying to branch on x from (# #) 45.862 * * * [regime]: Found split indices: #