42.402 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: Extracting # 3 : cost 0 0.026 * * [simplify]: Extracting # 4 : cost 0 0.026 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: Extracting # 1 : cost 0 0.027 * * [simplify]: Extracting # 2 : cost 0 0.027 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.048 * * [simplify]: Extracting # 1 : cost 0 0.048 * * [simplify]: Extracting # 2 : cost 0 0.048 * * [simplify]: Extracting # 3 : cost 0 0.048 * * [simplify]: iteration 4 : 113 enodes (cost 7 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.081 * * [simplify]: Extracting # 1 : cost 0 0.082 * * [simplify]: Extracting # 2 : cost 0 0.082 * * [simplify]: Extracting # 3 : cost 0 0.082 * * [simplify]: iteration 5 : 194 enodes (cost 7 ) 0.110 * * [simplify]: Extracting # 0 : cost 0 0.110 * * [simplify]: Extracting # 1 : cost 0 0.110 * * [simplify]: iteration 6 : 214 enodes (cost 7 ) 0.130 * * [simplify]: Extracting # 0 : cost 0 0.130 * * [simplify]: iteration 7 : 220 enodes (cost 7 ) 0.151 * * [simplify]: Extracting # 0 : cost 0 0.151 * * [simplify]: iteration done: 220 enodes (cost 7 ) 0.151 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.152 * * [progress]: iteration 1 / 4 0.152 * * * [progress]: picking best candidate 0.153 * * * * [pick]: Picked # 0.153 * * * [progress]: localizing error 0.159 * * * [progress]: generating rewritten candidates 0.159 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.216 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.217 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.217 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.217 * [taylor]: Taking taylor expansion of (+ x y) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [backup-simplify]: Simplify x into x 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (+ x 0) into x 0.217 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.217 * [taylor]: Taking taylor expansion of (+ x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [backup-simplify]: Simplify y into y 0.217 * [backup-simplify]: Simplify (+ 0 y) into y 0.217 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.217 * [taylor]: Taking taylor expansion of (+ x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [backup-simplify]: Simplify y into y 0.217 * [backup-simplify]: Simplify (+ 0 y) into y 0.217 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.218 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.218 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.218 * [taylor]: Taking taylor expansion of 2 in y 0.218 * [backup-simplify]: Simplify 2 into 2 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* 2 0) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.220 * [taylor]: Taking taylor expansion of 1 in y 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.220 * [backup-simplify]: Simplify 2 into 2 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.221 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.221 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [backup-simplify]: Simplify x into x 0.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [backup-simplify]: Simplify y into y 0.223 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify (+ 0 1) into 1 0.223 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [backup-simplify]: Simplify y into y 0.224 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [backup-simplify]: Simplify (+ 0 1) into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.226 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.226 * [taylor]: Taking taylor expansion of 2 in y 0.226 * [backup-simplify]: Simplify 2 into 2 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 2 1) into 2 0.229 * [backup-simplify]: Simplify 2 into 2 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.230 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.230 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [backup-simplify]: Simplify x into x 0.231 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.231 * [backup-simplify]: Simplify (+ 1 0) into 1 0.231 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [backup-simplify]: Simplify y into y 0.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [backup-simplify]: Simplify (+ 0 1) into 1 0.232 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [backup-simplify]: Simplify y into y 0.232 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [backup-simplify]: Simplify (+ 0 1) into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [taylor]: Taking taylor expansion of 1 in y 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.234 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.234 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.234 * [taylor]: Taking taylor expansion of 2 in y 0.234 * [backup-simplify]: Simplify 2 into 2 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* 2 1) into 2 0.238 * [backup-simplify]: Simplify 2 into 2 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.239 * * * [progress]: simplifying candidates 0.240 * [simplify]: Simplifying: (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.241 * * [simplify]: Extracting # 0 : cost 0 0.241 * * [simplify]: Extracting # 1 : cost 0 0.241 * * [simplify]: Extracting # 2 : cost 0 0.241 * * [simplify]: Extracting # 3 : cost 0 0.241 * * [simplify]: Extracting # 4 : cost 0 0.241 * * [simplify]: Extracting # 5 : cost 0 0.242 * * [simplify]: Extracting # 6 : cost 0 0.242 * * [simplify]: Extracting # 7 : cost 0 0.242 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.266 * * [simplify]: Extracting # 0 : cost 0 0.266 * * [simplify]: Extracting # 1 : cost 0 0.266 * * [simplify]: Extracting # 2 : cost 0 0.267 * * [simplify]: Extracting # 3 : cost 0 0.267 * * [simplify]: Extracting # 4 : cost 0 0.267 * * [simplify]: iteration 1 : 226 enodes (cost 453 ) 0.448 * * [simplify]: Extracting # 0 : cost 0 0.451 * * [simplify]: Extracting # 1 : cost 0 0.459 * * [simplify]: Extracting # 2 : cost 0 0.462 * * [simplify]: Extracting # 3 : cost 0 0.464 * * [simplify]: iteration 2 : 1687 enodes (cost 407 ) 1.063 * * [simplify]: Extracting # 0 : cost 0 1.075 * * [simplify]: Extracting # 1 : cost 0 1.083 * * [simplify]: Extracting # 2 : cost 0 1.092 * * [simplify]: Extracting # 3 : cost 0 1.098 * * [simplify]: Extracting # 4 : cost 0 1.105 * * [simplify]: iteration done: 5002 enodes (cost 400 ) 1.105 * [simplify]: Simplified to: 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (+ x y) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* (+ x y) x) (* (+ x y) y) (* (+ x y) x) (* (+ x y) y) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (* (+ x y) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) 1.106 * * * [progress]: adding candidates to table 1.151 * * [progress]: iteration 2 / 4 1.151 * * * [progress]: picking best candidate 1.153 * * * * [pick]: Picked # 1.153 * * * [progress]: localizing error 1.161 * * * [progress]: generating rewritten candidates 1.161 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.173 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.189 * * * [progress]: generating series expansions 1.189 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.190 * [backup-simplify]: Simplify (+ (* y (+ y (* 2 x))) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.190 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 1.190 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.190 * [backup-simplify]: Simplify y into y 1.190 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.190 * [taylor]: Taking taylor expansion of 2 in x 1.190 * [backup-simplify]: Simplify 2 into 2 1.190 * [taylor]: Taking taylor expansion of (* x y) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of y in x 1.190 * [backup-simplify]: Simplify y into y 1.190 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.190 * [taylor]: Taking taylor expansion of x in y 1.190 * [backup-simplify]: Simplify x into x 1.190 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.190 * [taylor]: Taking taylor expansion of 2 in y 1.190 * [backup-simplify]: Simplify 2 into 2 1.190 * [taylor]: Taking taylor expansion of (* x y) in y 1.190 * [taylor]: Taking taylor expansion of x in y 1.190 * [backup-simplify]: Simplify x into x 1.190 * [taylor]: Taking taylor expansion of y in y 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.190 * [taylor]: Taking taylor expansion of x in y 1.190 * [backup-simplify]: Simplify x into x 1.190 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.190 * [taylor]: Taking taylor expansion of 2 in y 1.190 * [backup-simplify]: Simplify 2 into 2 1.190 * [taylor]: Taking taylor expansion of (* x y) in y 1.190 * [taylor]: Taking taylor expansion of x in y 1.190 * [backup-simplify]: Simplify x into x 1.190 * [taylor]: Taking taylor expansion of y in y 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.191 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.191 * [backup-simplify]: Simplify (* x 0) into 0 1.191 * [backup-simplify]: Simplify (* 2 0) into 0 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.192 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.192 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 1.192 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 1.192 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 1.192 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.192 * [taylor]: Taking taylor expansion of 2 in x 1.192 * [backup-simplify]: Simplify 2 into 2 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (* 2 0) into 0 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.193 * [backup-simplify]: Simplify (* 1 1) into 1 1.193 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 1.194 * [backup-simplify]: Simplify (+ 1 0) into 1 1.194 * [backup-simplify]: Simplify (+ 0 1) into 1 1.194 * [taylor]: Taking taylor expansion of 1 in x 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.195 * [backup-simplify]: Simplify 2 into 2 1.195 * [backup-simplify]: Simplify (* 1 1) into 1 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.196 * [backup-simplify]: Simplify (+ (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 1.196 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 1.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 1 into 1 1.196 * [backup-simplify]: Simplify (* 1 1) into 1 1.196 * [backup-simplify]: Simplify (/ 1 1) into 1 1.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.196 * [taylor]: Taking taylor expansion of y in x 1.196 * [backup-simplify]: Simplify y into y 1.196 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.196 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.197 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.197 * [taylor]: Taking taylor expansion of 2 in x 1.197 * [backup-simplify]: Simplify 2 into 2 1.197 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.197 * [taylor]: Taking taylor expansion of (* x y) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [taylor]: Taking taylor expansion of y in x 1.197 * [backup-simplify]: Simplify y into y 1.197 * [backup-simplify]: Simplify (* 0 y) into 0 1.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.197 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.197 * [taylor]: Taking taylor expansion of x in y 1.197 * [backup-simplify]: Simplify x into x 1.197 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.197 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.197 * [taylor]: Taking taylor expansion of y in y 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (* 1 1) into 1 1.198 * [backup-simplify]: Simplify (/ 1 1) into 1 1.198 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.198 * [taylor]: Taking taylor expansion of 2 in y 1.198 * [backup-simplify]: Simplify 2 into 2 1.198 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.198 * [taylor]: Taking taylor expansion of (* x y) in y 1.198 * [taylor]: Taking taylor expansion of x in y 1.198 * [backup-simplify]: Simplify x into x 1.198 * [taylor]: Taking taylor expansion of y in y 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (* x 0) into 0 1.198 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.198 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.198 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.198 * [taylor]: Taking taylor expansion of x in y 1.198 * [backup-simplify]: Simplify x into x 1.198 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.198 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.199 * [taylor]: Taking taylor expansion of y in y 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (* 1 1) into 1 1.199 * [backup-simplify]: Simplify (/ 1 1) into 1 1.199 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.199 * [taylor]: Taking taylor expansion of 2 in y 1.199 * [backup-simplify]: Simplify 2 into 2 1.199 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.199 * [taylor]: Taking taylor expansion of (* x y) in y 1.199 * [taylor]: Taking taylor expansion of x in y 1.199 * [backup-simplify]: Simplify x into x 1.199 * [taylor]: Taking taylor expansion of y in y 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (* x 0) into 0 1.200 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.200 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.200 * [backup-simplify]: Simplify (+ 1 0) into 1 1.200 * [backup-simplify]: Simplify (+ 0 1) into 1 1.200 * [taylor]: Taking taylor expansion of 1 in x 1.200 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.201 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 1.201 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 1.201 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 1.201 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.201 * [taylor]: Taking taylor expansion of 2 in x 1.201 * [backup-simplify]: Simplify 2 into 2 1.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (/ 1 1) into 1 1.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.203 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.207 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 1.207 * [backup-simplify]: Simplify (+ 0 0) into 0 1.208 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [backup-simplify]: Simplify (* 1 1) into 1 1.208 * [backup-simplify]: Simplify (/ 1 1) into 1 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [backup-simplify]: Simplify (* 2 1) into 2 1.209 * [backup-simplify]: Simplify 2 into 2 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.209 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 1.209 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 1.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify (* 1 1) into 1 1.210 * [backup-simplify]: Simplify (/ 1 1) into 1 1.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.210 * [taylor]: Taking taylor expansion of y in x 1.210 * [backup-simplify]: Simplify y into y 1.210 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.210 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.210 * [taylor]: Taking taylor expansion of 2 in x 1.210 * [backup-simplify]: Simplify 2 into 2 1.210 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.210 * [taylor]: Taking taylor expansion of (* x y) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.210 * [taylor]: Taking taylor expansion of y in x 1.210 * [backup-simplify]: Simplify y into y 1.210 * [backup-simplify]: Simplify (* 0 y) into 0 1.211 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.211 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.211 * [taylor]: Taking taylor expansion of x in y 1.211 * [backup-simplify]: Simplify x into x 1.211 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.211 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (* 1 1) into 1 1.211 * [backup-simplify]: Simplify (/ 1 1) into 1 1.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.212 * [taylor]: Taking taylor expansion of 2 in y 1.212 * [backup-simplify]: Simplify 2 into 2 1.212 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.212 * [taylor]: Taking taylor expansion of (* x y) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [backup-simplify]: Simplify x into x 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (* x 0) into 0 1.212 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.212 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.212 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [backup-simplify]: Simplify x into x 1.212 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.212 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.213 * [backup-simplify]: Simplify (* 1 1) into 1 1.213 * [backup-simplify]: Simplify (/ 1 1) into 1 1.213 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.213 * [taylor]: Taking taylor expansion of 2 in y 1.213 * [backup-simplify]: Simplify 2 into 2 1.213 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.213 * [taylor]: Taking taylor expansion of (* x y) in y 1.213 * [taylor]: Taking taylor expansion of x in y 1.213 * [backup-simplify]: Simplify x into x 1.213 * [taylor]: Taking taylor expansion of y in y 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [backup-simplify]: Simplify (* x 0) into 0 1.213 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.213 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.214 * [backup-simplify]: Simplify (+ 1 0) into 1 1.214 * [backup-simplify]: Simplify (+ 0 1) into 1 1.214 * [taylor]: Taking taylor expansion of 1 in x 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.215 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 1.215 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 1.215 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 1.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.215 * [taylor]: Taking taylor expansion of 2 in x 1.215 * [backup-simplify]: Simplify 2 into 2 1.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (/ 1 1) into 1 1.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.216 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.217 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 1.217 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (* 1 1) into 1 1.218 * [backup-simplify]: Simplify (/ 1 1) into 1 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (* 2 1) into 2 1.218 * [backup-simplify]: Simplify 2 into 2 1.218 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.219 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.219 * [backup-simplify]: Simplify (* y (+ y (* 2 x))) into (* (+ (* 2 x) y) y) 1.219 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 1.219 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 1.219 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 1.219 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.219 * [taylor]: Taking taylor expansion of 2 in x 1.219 * [backup-simplify]: Simplify 2 into 2 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [taylor]: Taking taylor expansion of y in x 1.219 * [backup-simplify]: Simplify y into y 1.219 * [taylor]: Taking taylor expansion of y in x 1.219 * [backup-simplify]: Simplify y into y 1.219 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 1.219 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.219 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.219 * [taylor]: Taking taylor expansion of 2 in y 1.219 * [backup-simplify]: Simplify 2 into 2 1.219 * [taylor]: Taking taylor expansion of x in y 1.219 * [backup-simplify]: Simplify x into x 1.219 * [taylor]: Taking taylor expansion of y in y 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [taylor]: Taking taylor expansion of y in y 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 1.219 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 1.219 * [taylor]: Taking taylor expansion of (* 2 x) in y 1.219 * [taylor]: Taking taylor expansion of 2 in y 1.219 * [backup-simplify]: Simplify 2 into 2 1.219 * [taylor]: Taking taylor expansion of x in y 1.219 * [backup-simplify]: Simplify x into x 1.219 * [taylor]: Taking taylor expansion of y in y 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [taylor]: Taking taylor expansion of y in y 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 1.219 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 1.219 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 1.219 * [taylor]: Taking taylor expansion of 0 in x 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 1.220 * [backup-simplify]: Simplify (+ 0 1) into 1 1.221 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 1.221 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.221 * [taylor]: Taking taylor expansion of 2 in x 1.221 * [backup-simplify]: Simplify 2 into 2 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [backup-simplify]: Simplify (* 2 0) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.222 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 1.222 * [taylor]: Taking taylor expansion of 1 in x 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.223 * [backup-simplify]: Simplify 2 into 2 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.224 * [backup-simplify]: Simplify (+ 0 0) into 0 1.224 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.224 * [taylor]: Taking taylor expansion of 0 in x 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 1.226 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.227 * [taylor]: Taking taylor expansion of 0 in x 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 1.227 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 1.227 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 1.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.227 * [taylor]: Taking taylor expansion of y in x 1.227 * [backup-simplify]: Simplify y into y 1.227 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.227 * [taylor]: Taking taylor expansion of 2 in x 1.227 * [backup-simplify]: Simplify 2 into 2 1.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 1 into 1 1.227 * [backup-simplify]: Simplify (/ 1 1) into 1 1.227 * [taylor]: Taking taylor expansion of y in x 1.228 * [backup-simplify]: Simplify y into y 1.228 * [backup-simplify]: Simplify (* 2 1) into 2 1.228 * [backup-simplify]: Simplify (+ 0 2) into 2 1.228 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 1.228 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [backup-simplify]: Simplify (/ 1 1) into 1 1.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.228 * [taylor]: Taking taylor expansion of 2 in y 1.228 * [backup-simplify]: Simplify 2 into 2 1.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.228 * [taylor]: Taking taylor expansion of x in y 1.229 * [backup-simplify]: Simplify x into x 1.229 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.229 * [taylor]: Taking taylor expansion of y in y 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (+ 1 0) into 1 1.229 * [backup-simplify]: Simplify (/ 1 1) into 1 1.229 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.229 * [taylor]: Taking taylor expansion of y in y 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (/ 1 1) into 1 1.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.229 * [taylor]: Taking taylor expansion of 2 in y 1.229 * [backup-simplify]: Simplify 2 into 2 1.229 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.229 * [taylor]: Taking taylor expansion of x in y 1.230 * [backup-simplify]: Simplify x into x 1.230 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.230 * [taylor]: Taking taylor expansion of y in y 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (+ 1 0) into 1 1.230 * [backup-simplify]: Simplify (/ 1 1) into 1 1.230 * [taylor]: Taking taylor expansion of 1 in x 1.230 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.231 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 1.231 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 1.231 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 1.231 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.231 * [taylor]: Taking taylor expansion of 2 in x 1.231 * [backup-simplify]: Simplify 2 into 2 1.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (/ 1 1) into 1 1.232 * [backup-simplify]: Simplify (* 2 1) into 2 1.232 * [backup-simplify]: Simplify 2 into 2 1.232 * [backup-simplify]: Simplify 1 into 1 1.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.233 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 1.233 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 1.234 * [taylor]: Taking taylor expansion of 0 in x 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.236 * [backup-simplify]: Simplify (+ 0 0) into 0 1.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.237 * [taylor]: Taking taylor expansion of 0 in x 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.238 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.240 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.240 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.242 * [taylor]: Taking taylor expansion of 0 in x 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 1.242 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 1.242 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 1.242 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.242 * [taylor]: Taking taylor expansion of y in x 1.242 * [backup-simplify]: Simplify y into y 1.242 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.242 * [taylor]: Taking taylor expansion of 2 in x 1.242 * [backup-simplify]: Simplify 2 into 2 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (/ 1 1) into 1 1.243 * [taylor]: Taking taylor expansion of y in x 1.243 * [backup-simplify]: Simplify y into y 1.243 * [backup-simplify]: Simplify (* 2 1) into 2 1.243 * [backup-simplify]: Simplify (+ 0 2) into 2 1.243 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 1.243 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.243 * [taylor]: Taking taylor expansion of y in y 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (/ 1 1) into 1 1.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.244 * [taylor]: Taking taylor expansion of 2 in y 1.244 * [backup-simplify]: Simplify 2 into 2 1.244 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.244 * [taylor]: Taking taylor expansion of x in y 1.244 * [backup-simplify]: Simplify x into x 1.244 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.244 * [taylor]: Taking taylor expansion of y in y 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (+ 1 0) into 1 1.244 * [backup-simplify]: Simplify (/ 1 1) into 1 1.244 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 1.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.244 * [taylor]: Taking taylor expansion of y in y 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify (/ 1 1) into 1 1.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.245 * [taylor]: Taking taylor expansion of 2 in y 1.245 * [backup-simplify]: Simplify 2 into 2 1.245 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.245 * [taylor]: Taking taylor expansion of x in y 1.245 * [backup-simplify]: Simplify x into x 1.245 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.245 * [taylor]: Taking taylor expansion of y in y 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify (+ 1 0) into 1 1.245 * [backup-simplify]: Simplify (/ 1 1) into 1 1.245 * [taylor]: Taking taylor expansion of 1 in x 1.245 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 1.246 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 1.246 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 1.246 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.246 * [taylor]: Taking taylor expansion of 2 in x 1.246 * [backup-simplify]: Simplify 2 into 2 1.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.247 * [backup-simplify]: Simplify (/ 1 1) into 1 1.247 * [backup-simplify]: Simplify (* 2 1) into 2 1.247 * [backup-simplify]: Simplify 2 into 2 1.247 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.248 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 1.248 * [backup-simplify]: Simplify (+ 0 0) into 0 1.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 1.249 * [taylor]: Taking taylor expansion of 0 in x 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.252 * [taylor]: Taking taylor expansion of 0 in x 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.253 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.255 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.256 * [taylor]: Taking taylor expansion of 0 in x 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 1.257 * * * [progress]: simplifying candidates 1.258 * [simplify]: Simplifying: (* (exp (* y (+ y (* 2 x)))) (exp (* x x))) (log (+ (* y (+ y (* 2 x))) (* x x))) (exp (+ (* y (+ y (* 2 x))) (* x x))) (* (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (cbrt (+ (* y (+ y (* 2 x))) (* x x)))) (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (* (* (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x))) (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (+ (pow (* y (+ y (* 2 x))) 3) (pow (* x x) 3)) (+ (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (- (* (* x x) (* x x)) (* (* y (+ y (* 2 x))) (* x x)))) (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* (* x x) (* x x))) (- (* y (+ y (* 2 x))) (* x x)) (+ (* y (* 2 x)) (* x x)) (+ (* (* 2 x) y) (* x x)) (* y (+ y (* 2 x))) (+ (log y) (log (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (* (* (* y y) y) (* (* (+ y (* 2 x)) (+ y (* 2 x))) (+ y (* 2 x)))) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (* (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) (* y 1) (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* (* 2 x) (* 2 x)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 1.258 * * [simplify]: Extracting # 0 : cost 0 1.258 * * [simplify]: Extracting # 1 : cost 0 1.259 * * [simplify]: Extracting # 2 : cost 0 1.259 * * [simplify]: Extracting # 3 : cost 0 1.259 * * [simplify]: Extracting # 4 : cost 0 1.259 * * [simplify]: Extracting # 5 : cost 0 1.259 * * [simplify]: Extracting # 6 : cost 0 1.259 * * [simplify]: iteration 0 : 71 enodes (cost 527 ) 1.280 * * [simplify]: Extracting # 0 : cost 0 1.280 * * [simplify]: Extracting # 1 : cost 0 1.281 * * [simplify]: Extracting # 2 : cost 0 1.281 * * [simplify]: Extracting # 3 : cost 0 1.281 * * [simplify]: Extracting # 4 : cost 0 1.282 * * [simplify]: iteration 1 : 250 enodes (cost 501 ) 1.448 * * [simplify]: Extracting # 0 : cost 0 1.450 * * [simplify]: Extracting # 1 : cost 0 1.451 * * [simplify]: Extracting # 2 : cost 0 1.453 * * [simplify]: Extracting # 3 : cost 0 1.454 * * [simplify]: Extracting # 4 : cost 0 1.456 * * [simplify]: iteration 2 : 1377 enodes (cost 447 ) 1.927 * * [simplify]: Extracting # 0 : cost 0 1.933 * * [simplify]: Extracting # 1 : cost 0 1.951 * * [simplify]: Extracting # 2 : cost 0 1.960 * * [simplify]: Extracting # 3 : cost 0 1.968 * * [simplify]: Extracting # 4 : cost 0 1.977 * * [simplify]: iteration done: 5001 enodes (cost 447 ) 1.977 * [simplify]: Simplified to: (exp (+ (* y (+ y (* 2 x))) (* x x))) (log (+ (* y (+ y (* 2 x))) (* x x))) (exp (+ (* y (+ y (* 2 x))) (* x x))) (* (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (cbrt (+ (* y (+ y (* 2 x))) (* x x)))) (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (pow (+ (* y (+ y (* 2 x))) (* x x)) 3) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (+ (pow (* y (+ y (* 2 x))) 3) (pow x 6)) (+ (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* (* x x) (- (* x x) (* y (+ y (* 2 x)))))) (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) (- (* y (+ y (* 2 x))) (* x x)) (* x (+ x (* y 2))) (+ (* (* 2 x) y) (* x x)) (* y (+ y (* 2 x))) (log (* y (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) y (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* (- (* y y) (* 4 (* x x))) y) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) 1.978 * * * [progress]: adding candidates to table 2.072 * * [progress]: iteration 3 / 4 2.072 * * * [progress]: picking best candidate 2.073 * * * * [pick]: Picked # 2.073 * * * [progress]: localizing error 2.080 * * * [progress]: generating rewritten candidates 2.080 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.098 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.128 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 2.163 * * * [progress]: generating series expansions 2.163 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.163 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.163 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 2.163 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.163 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.163 * [taylor]: Taking taylor expansion of x in y 2.163 * [backup-simplify]: Simplify x into x 2.163 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.163 * [taylor]: Taking taylor expansion of y in y 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.163 * [taylor]: Taking taylor expansion of 2 in y 2.163 * [backup-simplify]: Simplify 2 into 2 2.163 * [taylor]: Taking taylor expansion of (* x y) in y 2.163 * [taylor]: Taking taylor expansion of x in y 2.163 * [backup-simplify]: Simplify x into x 2.163 * [taylor]: Taking taylor expansion of y in y 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.164 * [taylor]: Taking taylor expansion of y in x 2.164 * [backup-simplify]: Simplify y into y 2.164 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.164 * [taylor]: Taking taylor expansion of 2 in x 2.164 * [backup-simplify]: Simplify 2 into 2 2.164 * [taylor]: Taking taylor expansion of (* x y) in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [taylor]: Taking taylor expansion of y in x 2.164 * [backup-simplify]: Simplify y into y 2.164 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.164 * [taylor]: Taking taylor expansion of y in x 2.164 * [backup-simplify]: Simplify y into y 2.164 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.164 * [taylor]: Taking taylor expansion of 2 in x 2.164 * [backup-simplify]: Simplify 2 into 2 2.164 * [taylor]: Taking taylor expansion of (* x y) in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [taylor]: Taking taylor expansion of y in x 2.164 * [backup-simplify]: Simplify y into y 2.164 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.164 * [backup-simplify]: Simplify (* 0 y) into 0 2.165 * [backup-simplify]: Simplify (* 2 0) into 0 2.165 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.165 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.165 * [taylor]: Taking taylor expansion of y in y 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.166 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.166 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 2.166 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.166 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.166 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.166 * [taylor]: Taking taylor expansion of 2 in y 2.166 * [backup-simplify]: Simplify 2 into 2 2.166 * [taylor]: Taking taylor expansion of y in y 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (* 2 0) into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (* 1 1) into 1 2.167 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.169 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (+ 1 0) into 1 2.169 * [taylor]: Taking taylor expansion of 1 in y 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify 1 into 1 2.170 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.170 * [backup-simplify]: Simplify 2 into 2 2.170 * [backup-simplify]: Simplify (* 1 1) into 1 2.170 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.171 * [backup-simplify]: Simplify (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.171 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.171 * [taylor]: Taking taylor expansion of x in y 2.171 * [backup-simplify]: Simplify x into x 2.171 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.171 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.171 * [taylor]: Taking taylor expansion of y in y 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (* 1 1) into 1 2.172 * [backup-simplify]: Simplify (/ 1 1) into 1 2.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.172 * [taylor]: Taking taylor expansion of 2 in y 2.172 * [backup-simplify]: Simplify 2 into 2 2.172 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.172 * [taylor]: Taking taylor expansion of (* x y) in y 2.172 * [taylor]: Taking taylor expansion of x in y 2.172 * [backup-simplify]: Simplify x into x 2.172 * [taylor]: Taking taylor expansion of y in y 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (* x 0) into 0 2.173 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.173 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.173 * [taylor]: Taking taylor expansion of x in x 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (* 1 1) into 1 2.173 * [backup-simplify]: Simplify (/ 1 1) into 1 2.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.174 * [taylor]: Taking taylor expansion of y in x 2.174 * [backup-simplify]: Simplify y into y 2.174 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.174 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.174 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.174 * [taylor]: Taking taylor expansion of 2 in x 2.174 * [backup-simplify]: Simplify 2 into 2 2.174 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.174 * [taylor]: Taking taylor expansion of (* x y) in x 2.174 * [taylor]: Taking taylor expansion of x in x 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.174 * [taylor]: Taking taylor expansion of y in x 2.174 * [backup-simplify]: Simplify y into y 2.174 * [backup-simplify]: Simplify (* 0 y) into 0 2.174 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.174 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.174 * [taylor]: Taking taylor expansion of x in x 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (* 1 1) into 1 2.175 * [backup-simplify]: Simplify (/ 1 1) into 1 2.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.175 * [taylor]: Taking taylor expansion of y in x 2.175 * [backup-simplify]: Simplify y into y 2.175 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.175 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.175 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.175 * [taylor]: Taking taylor expansion of 2 in x 2.175 * [backup-simplify]: Simplify 2 into 2 2.175 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.175 * [taylor]: Taking taylor expansion of (* x y) in x 2.175 * [taylor]: Taking taylor expansion of x in x 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [taylor]: Taking taylor expansion of y in x 2.176 * [backup-simplify]: Simplify y into y 2.176 * [backup-simplify]: Simplify (* 0 y) into 0 2.176 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.176 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.176 * [backup-simplify]: Simplify (+ 1 0) into 1 2.176 * [taylor]: Taking taylor expansion of 1 in y 2.176 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.177 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.177 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.177 * [taylor]: Taking taylor expansion of 2 in y 2.177 * [backup-simplify]: Simplify 2 into 2 2.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.177 * [taylor]: Taking taylor expansion of y in y 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (/ 1 1) into 1 2.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.180 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.180 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.180 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.180 * [taylor]: Taking taylor expansion of y in y 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (* 1 1) into 1 2.181 * [backup-simplify]: Simplify (/ 1 1) into 1 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify (* 2 1) into 2 2.181 * [backup-simplify]: Simplify 2 into 2 2.181 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.182 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 2.182 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.182 * [taylor]: Taking taylor expansion of x in y 2.182 * [backup-simplify]: Simplify x into x 2.182 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.182 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.182 * [taylor]: Taking taylor expansion of y in y 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (* 1 1) into 1 2.183 * [backup-simplify]: Simplify (/ 1 1) into 1 2.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.183 * [taylor]: Taking taylor expansion of 2 in y 2.183 * [backup-simplify]: Simplify 2 into 2 2.183 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.183 * [taylor]: Taking taylor expansion of (* x y) in y 2.183 * [taylor]: Taking taylor expansion of x in y 2.183 * [backup-simplify]: Simplify x into x 2.183 * [taylor]: Taking taylor expansion of y in y 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (* x 0) into 0 2.184 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.184 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.184 * [taylor]: Taking taylor expansion of x in x 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (* 1 1) into 1 2.184 * [backup-simplify]: Simplify (/ 1 1) into 1 2.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.185 * [taylor]: Taking taylor expansion of y in x 2.185 * [backup-simplify]: Simplify y into y 2.185 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.185 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.185 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.185 * [taylor]: Taking taylor expansion of 2 in x 2.185 * [backup-simplify]: Simplify 2 into 2 2.185 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.185 * [taylor]: Taking taylor expansion of (* x y) in x 2.185 * [taylor]: Taking taylor expansion of x in x 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 1 into 1 2.185 * [taylor]: Taking taylor expansion of y in x 2.185 * [backup-simplify]: Simplify y into y 2.185 * [backup-simplify]: Simplify (* 0 y) into 0 2.185 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.185 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.185 * [taylor]: Taking taylor expansion of x in x 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [backup-simplify]: Simplify (* 1 1) into 1 2.186 * [backup-simplify]: Simplify (/ 1 1) into 1 2.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.186 * [taylor]: Taking taylor expansion of y in x 2.186 * [backup-simplify]: Simplify y into y 2.186 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.186 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.186 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.186 * [taylor]: Taking taylor expansion of 2 in x 2.186 * [backup-simplify]: Simplify 2 into 2 2.186 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.187 * [taylor]: Taking taylor expansion of (* x y) in x 2.187 * [taylor]: Taking taylor expansion of x in x 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [taylor]: Taking taylor expansion of y in x 2.187 * [backup-simplify]: Simplify y into y 2.187 * [backup-simplify]: Simplify (* 0 y) into 0 2.187 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.187 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.187 * [backup-simplify]: Simplify (+ 1 0) into 1 2.187 * [taylor]: Taking taylor expansion of 1 in y 2.187 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.189 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.189 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.189 * [taylor]: Taking taylor expansion of 2 in y 2.189 * [backup-simplify]: Simplify 2 into 2 2.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.189 * [taylor]: Taking taylor expansion of y in y 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (/ 1 1) into 1 2.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.192 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.192 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.192 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.192 * [taylor]: Taking taylor expansion of y in y 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (* 1 1) into 1 2.193 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (* 2 1) into 2 2.193 * [backup-simplify]: Simplify 2 into 2 2.193 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.194 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.194 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 2.194 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 2.194 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 2.194 * [taylor]: Taking taylor expansion of x in y 2.194 * [backup-simplify]: Simplify x into x 2.194 * [taylor]: Taking taylor expansion of (+ x y) in y 2.194 * [taylor]: Taking taylor expansion of x in y 2.194 * [backup-simplify]: Simplify x into x 2.194 * [taylor]: Taking taylor expansion of y in y 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [taylor]: Taking taylor expansion of (+ x y) in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [taylor]: Taking taylor expansion of y in x 2.194 * [backup-simplify]: Simplify y into y 2.194 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [taylor]: Taking taylor expansion of (+ x y) in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [taylor]: Taking taylor expansion of y in x 2.194 * [backup-simplify]: Simplify y into y 2.194 * [backup-simplify]: Simplify (+ 0 y) into y 2.194 * [backup-simplify]: Simplify (* 0 y) into 0 2.195 * [taylor]: Taking taylor expansion of 0 in y 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ 1 0) into 1 2.195 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 2.195 * [taylor]: Taking taylor expansion of y in y 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 2.196 * [taylor]: Taking taylor expansion of 1 in y 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 2.198 * [taylor]: Taking taylor expansion of 0 in y 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.199 * [taylor]: Taking taylor expansion of 0 in y 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 2.200 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.200 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.200 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.200 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.200 * [taylor]: Taking taylor expansion of y in y 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.200 * [backup-simplify]: Simplify (/ 1 1) into 1 2.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.200 * [taylor]: Taking taylor expansion of x in y 2.200 * [backup-simplify]: Simplify x into x 2.200 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.200 * [taylor]: Taking taylor expansion of x in y 2.200 * [backup-simplify]: Simplify x into x 2.201 * [backup-simplify]: Simplify (+ 1 0) into 1 2.201 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.201 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.201 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.201 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.201 * [taylor]: Taking taylor expansion of y in x 2.201 * [backup-simplify]: Simplify y into y 2.201 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (/ 1 1) into 1 2.201 * [taylor]: Taking taylor expansion of x in x 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (+ 0 1) into 1 2.202 * [backup-simplify]: Simplify (/ 1 1) into 1 2.202 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.202 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.202 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.202 * [taylor]: Taking taylor expansion of y in x 2.202 * [backup-simplify]: Simplify y into y 2.202 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.202 * [taylor]: Taking taylor expansion of x in x 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.203 * [taylor]: Taking taylor expansion of x in x 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (+ 0 1) into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.203 * [taylor]: Taking taylor expansion of 1 in y 2.203 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.204 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.205 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.205 * [taylor]: Taking taylor expansion of y in y 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (/ 1 1) into 1 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify 1 into 1 2.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (+ 0 0) into 0 2.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.207 * [taylor]: Taking taylor expansion of 0 in y 2.207 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.209 * [backup-simplify]: Simplify (+ 0 0) into 0 2.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.210 * [taylor]: Taking taylor expansion of 0 in y 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.214 * [taylor]: Taking taylor expansion of 0 in y 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 2.215 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.215 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.215 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.215 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.215 * [taylor]: Taking taylor expansion of y in y 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (/ 1 1) into 1 2.215 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.215 * [taylor]: Taking taylor expansion of x in y 2.215 * [backup-simplify]: Simplify x into x 2.215 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.215 * [taylor]: Taking taylor expansion of x in y 2.216 * [backup-simplify]: Simplify x into x 2.216 * [backup-simplify]: Simplify (+ 1 0) into 1 2.216 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.216 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.216 * [taylor]: Taking taylor expansion of y in x 2.216 * [backup-simplify]: Simplify y into y 2.216 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.216 * [taylor]: Taking taylor expansion of x in x 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify (/ 1 1) into 1 2.216 * [taylor]: Taking taylor expansion of x in x 2.216 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.217 * [backup-simplify]: Simplify (+ 0 1) into 1 2.217 * [backup-simplify]: Simplify (/ 1 1) into 1 2.217 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.217 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.217 * [taylor]: Taking taylor expansion of y in x 2.217 * [backup-simplify]: Simplify y into y 2.217 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.217 * [taylor]: Taking taylor expansion of x in x 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (/ 1 1) into 1 2.218 * [taylor]: Taking taylor expansion of x in x 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (+ 0 1) into 1 2.218 * [backup-simplify]: Simplify (/ 1 1) into 1 2.218 * [taylor]: Taking taylor expansion of 1 in y 2.218 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.220 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.220 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.220 * [taylor]: Taking taylor expansion of y in y 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (/ 1 1) into 1 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.222 * [taylor]: Taking taylor expansion of 0 in y 2.222 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.226 * [taylor]: Taking taylor expansion of 0 in y 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [taylor]: Taking taylor expansion of 0 in y 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 2.230 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.230 * [backup-simplify]: Simplify (* (+ x y) y) into (* y (+ x y)) 2.230 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 2.230 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 2.230 * [taylor]: Taking taylor expansion of y in y 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [taylor]: Taking taylor expansion of (+ x y) in y 2.230 * [taylor]: Taking taylor expansion of x in y 2.230 * [backup-simplify]: Simplify x into x 2.230 * [taylor]: Taking taylor expansion of y in y 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 2.230 * [taylor]: Taking taylor expansion of y in x 2.230 * [backup-simplify]: Simplify y into y 2.230 * [taylor]: Taking taylor expansion of (+ x y) in x 2.231 * [taylor]: Taking taylor expansion of x in x 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of y in x 2.231 * [backup-simplify]: Simplify y into y 2.231 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 2.231 * [taylor]: Taking taylor expansion of y in x 2.231 * [backup-simplify]: Simplify y into y 2.231 * [taylor]: Taking taylor expansion of (+ x y) in x 2.231 * [taylor]: Taking taylor expansion of x in x 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of y in x 2.231 * [backup-simplify]: Simplify y into y 2.231 * [backup-simplify]: Simplify (+ 0 y) into y 2.231 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.231 * [taylor]: Taking taylor expansion of y in y 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (+ 1 0) into 1 2.231 * [backup-simplify]: Simplify (+ (* y 1) (* 0 y)) into y 2.231 * [taylor]: Taking taylor expansion of y in y 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 y))) into 0 2.232 * [taylor]: Taking taylor expansion of 0 in y 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (* 1 1) into 1 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (+ 0 0) into 0 2.234 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 2.234 * [taylor]: Taking taylor expansion of 0 in y 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (+ 0 0) into 0 2.235 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.236 * [taylor]: Taking taylor expansion of 0 in y 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 2.236 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 y) (/ 1 x)) y) 2.236 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 2.236 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 2.236 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.236 * [taylor]: Taking taylor expansion of y in y 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (/ 1 1) into 1 2.237 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.237 * [taylor]: Taking taylor expansion of x in y 2.237 * [backup-simplify]: Simplify x into x 2.237 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.237 * [taylor]: Taking taylor expansion of y in y 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 1 into 1 2.237 * [backup-simplify]: Simplify (+ 1 0) into 1 2.237 * [backup-simplify]: Simplify (/ 1 1) into 1 2.237 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.237 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.237 * [taylor]: Taking taylor expansion of y in x 2.237 * [backup-simplify]: Simplify y into y 2.237 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (/ 1 1) into 1 2.238 * [taylor]: Taking taylor expansion of y in x 2.238 * [backup-simplify]: Simplify y into y 2.238 * [backup-simplify]: Simplify (+ 0 1) into 1 2.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.238 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.238 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.238 * [taylor]: Taking taylor expansion of y in x 2.238 * [backup-simplify]: Simplify y into y 2.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.239 * [backup-simplify]: Simplify (/ 1 1) into 1 2.239 * [taylor]: Taking taylor expansion of y in x 2.239 * [backup-simplify]: Simplify y into y 2.239 * [backup-simplify]: Simplify (+ 0 1) into 1 2.239 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.239 * [taylor]: Taking taylor expansion of y in y 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (/ 1 1) into 1 2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.241 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.241 * [taylor]: Taking taylor expansion of y in y 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (* 1 1) into 1 2.241 * [backup-simplify]: Simplify (/ 1 1) into 1 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.243 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.243 * [taylor]: Taking taylor expansion of 0 in y 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ 0 0) into 0 2.246 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.246 * [taylor]: Taking taylor expansion of 0 in y 2.246 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (+ 0 0) into 0 2.250 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.250 * [taylor]: Taking taylor expansion of 0 in y 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 2.252 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 2.252 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 2.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 2.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.252 * [taylor]: Taking taylor expansion of y in y 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify (/ 1 1) into 1 2.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.252 * [taylor]: Taking taylor expansion of x in y 2.252 * [backup-simplify]: Simplify x into x 2.252 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.252 * [taylor]: Taking taylor expansion of y in y 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.253 * [backup-simplify]: Simplify (+ 1 0) into 1 2.253 * [backup-simplify]: Simplify (/ 1 1) into 1 2.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.253 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.253 * [taylor]: Taking taylor expansion of y in x 2.253 * [backup-simplify]: Simplify y into y 2.253 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.253 * [taylor]: Taking taylor expansion of x in x 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify 1 into 1 2.254 * [backup-simplify]: Simplify (/ 1 1) into 1 2.254 * [taylor]: Taking taylor expansion of y in x 2.254 * [backup-simplify]: Simplify y into y 2.254 * [backup-simplify]: Simplify (+ 0 1) into 1 2.254 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.254 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.254 * [taylor]: Taking taylor expansion of y in x 2.254 * [backup-simplify]: Simplify y into y 2.254 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.254 * [taylor]: Taking taylor expansion of x in x 2.254 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify 1 into 1 2.254 * [backup-simplify]: Simplify (/ 1 1) into 1 2.255 * [taylor]: Taking taylor expansion of y in x 2.255 * [backup-simplify]: Simplify y into y 2.255 * [backup-simplify]: Simplify (+ 0 1) into 1 2.255 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.255 * [taylor]: Taking taylor expansion of y in y 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify (/ 1 1) into 1 2.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.256 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.256 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.256 * [taylor]: Taking taylor expansion of y in y 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (* 1 1) into 1 2.257 * [backup-simplify]: Simplify (/ 1 1) into 1 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.258 * [taylor]: Taking taylor expansion of 0 in y 2.258 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.264 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.265 * [taylor]: Taking taylor expansion of 0 in y 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.268 * [taylor]: Taking taylor expansion of 0 in y 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 2.270 * * * [progress]: simplifying candidates 2.271 * [simplify]: Simplifying: (* (exp (* (+ x y) x)) (exp (* (+ x y) y))) (log (+ (* (+ x y) x) (* (+ x y) y))) (exp (+ (* (+ x y) x) (* (+ x y) y))) (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y)))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3)) (+ (* (* (+ x y) x) (* (+ x y) x)) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* (+ x y) x) (* (+ x y) y)))) (- (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (* (+ x y) y))) (- (* (+ x y) x) (* (+ x y) y)) (+ x y) (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (* (+ x y) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 2.273 * * [simplify]: Extracting # 0 : cost 0 2.273 * * [simplify]: Extracting # 1 : cost 0 2.273 * * [simplify]: Extracting # 2 : cost 0 2.274 * * [simplify]: Extracting # 3 : cost 0 2.274 * * [simplify]: Extracting # 4 : cost 0 2.274 * * [simplify]: Extracting # 5 : cost 0 2.274 * * [simplify]: Extracting # 6 : cost 0 2.274 * * [simplify]: iteration 0 : 106 enodes (cost 827 ) 2.305 * * [simplify]: Extracting # 0 : cost 0 2.306 * * [simplify]: Extracting # 1 : cost 0 2.306 * * [simplify]: Extracting # 2 : cost 0 2.307 * * [simplify]: Extracting # 3 : cost 0 2.307 * * [simplify]: Extracting # 4 : cost 0 2.307 * * [simplify]: Extracting # 5 : cost 0 2.308 * * [simplify]: iteration 1 : 309 enodes (cost 718 ) 2.547 * * [simplify]: Extracting # 0 : cost 0 2.551 * * [simplify]: Extracting # 1 : cost 0 2.554 * * [simplify]: Extracting # 2 : cost 0 2.558 * * [simplify]: Extracting # 3 : cost 0 2.561 * * [simplify]: Extracting # 4 : cost 0 2.564 * * [simplify]: iteration 2 : 1960 enodes (cost 642 ) 3.445 * * [simplify]: Extracting # 0 : cost 0 3.457 * * [simplify]: Extracting # 1 : cost 0 3.467 * * [simplify]: Extracting # 2 : cost 0 3.474 * * [simplify]: Extracting # 3 : cost 0 3.482 * * [simplify]: Extracting # 4 : cost 0 3.490 * * [simplify]: iteration done: 5001 enodes (cost 640 ) 3.491 * [simplify]: Simplified to: (exp (* (+ x y) (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ y x) (* 2 3)) (fabs (+ x y)) (fabs (+ x y)) (* (+ (* x x) (* y (- y x))) (+ (* (+ (pow x 3) (pow y 3)) x) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (* y (- y x))) (* (- (* x x) (* y y)) y))) (* (- x y) (+ (* x x) (* y (- y x)))) (+ (* (+ (* x x) (* y (- y x))) (* (- (* x x) (* y y)) x)) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (* y (- y x)))) (* (- x y) (+ (* (- (* x x) (* y y)) y) (* (- (* x x) (* y y)) x))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (+ (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (* (+ x y) (- y x)))) (* (* (+ x y) (+ x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ y x) (* (+ x y) x) (log (* (+ x y) x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (pow (* (+ x y) x) 3) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (pow (* (+ x y) x) 3) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (* (cbrt x) (cbrt x)) (+ x y)) (* (sqrt x) (+ x y)) (+ y x) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (* (+ y x) y) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (pow (* (+ x y) y) 3) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (pow (* (+ x y) y) 3) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (* (cbrt y) (cbrt y)) (+ x y)) (* (sqrt y) (+ x y)) (+ y x) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ y x) y) (* (+ y x) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (* x (+ y x)) (* x (+ y x)) (* x (+ y x)) (* y (+ y x)) (* y (+ y x)) (* y (+ y x)) 3.491 * * * [progress]: adding candidates to table 3.626 * [progress]: [Phase 3 of 3] Extracting. 3.626 * * [regime]: Finding splitpoints for: (# #) 3.626 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.626 * * * * [regimes]: Trying to branch on y from (# #) 3.637 * * * * [regimes]: Trying to branch on x from (# #) 3.653 * * * [regime]: Found split indices: #