45.084 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.027 * * * [progress]: [2/2] Setting up program.
0.031 * [progress]: [Phase 2 of 3] Improving.
0.031 * [simplify]: Simplifying:
  (* (+ x y) (+ x y))
0.031 * * [simplify]: iteration 0: 4 enodes
0.032 * * [simplify]: iteration 1: 11 enodes
0.035 * * [simplify]: iteration 2: 25 enodes
0.042 * * [simplify]: iteration 3: 53 enodes
0.056 * * [simplify]: iteration 4: 110 enodes
0.076 * * [simplify]: iteration 5: 205 enodes
0.090 * * [simplify]: iteration 6: 225 enodes
0.104 * * [simplify]: iteration 7: 231 enodes
0.115 * * [simplify]: iteration complete: 231 enodes
0.116 * * [simplify]: Extracting #0: cost 1 inf + 0
0.116 * * [simplify]: Extracting #1: cost 12 inf + 0
0.116 * * [simplify]: Extracting #2: cost 19 inf + 0
0.116 * * [simplify]: Extracting #3: cost 15 inf + 44
0.117 * * [simplify]: Extracting #4: cost 1 inf + 1149
0.117 * * [simplify]: Extracting #5: cost 0 inf + 1271
0.118 * [simplify]: Simplified to:
  (* (+ y x) (+ y x))
0.119 * * [progress]: iteration 1 / 4
0.119 * * * [progress]: picking best candidate
0.124 * * * * [pick]: Picked  #<alt (λ (x y) (* (+ x y) (+ x y)))>
0.124 * * * [progress]: localizing error
0.134 * * * [progress]: generating rewritten candidates
0.134 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.184 * * * [progress]: generating series expansions
0.184 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.184 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2)
0.184 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0
0.184 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y
0.184 * [taylor]: Taking taylor expansion of (+ x y) in y
0.184 * [taylor]: Taking taylor expansion of x in y
0.184 * [backup-simplify]: Simplify x into x
0.184 * [taylor]: Taking taylor expansion of y in y
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (+ x 0) into x
0.184 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x
0.185 * [taylor]: Taking taylor expansion of (+ x y) in x
0.185 * [taylor]: Taking taylor expansion of x in x
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [taylor]: Taking taylor expansion of y in x
0.185 * [backup-simplify]: Simplify y into y
0.185 * [backup-simplify]: Simplify (+ 0 y) into y
0.185 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x
0.185 * [taylor]: Taking taylor expansion of (+ x y) in x
0.185 * [taylor]: Taking taylor expansion of x in x
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [taylor]: Taking taylor expansion of y in x
0.185 * [backup-simplify]: Simplify y into y
0.185 * [backup-simplify]: Simplify (+ 0 y) into y
0.185 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.185 * [taylor]: Taking taylor expansion of y in y
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (+ 1 0) into 1
0.186 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y)
0.186 * [taylor]: Taking taylor expansion of (* 2 y) in y
0.186 * [taylor]: Taking taylor expansion of 2 in y
0.186 * [backup-simplify]: Simplify 2 into 2
0.186 * [taylor]: Taking taylor expansion of y in y
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.187 * [backup-simplify]: Simplify (* 2 0) into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify (+ 0 0) into 0
0.187 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1
0.188 * [taylor]: Taking taylor expansion of 1 in y
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
0.188 * [backup-simplify]: Simplify 2 into 2
0.189 * [backup-simplify]: Simplify (* 1 1) into 1
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
0.190 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 x) (/ 1 y)) 2)
0.190 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0
0.190 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.190 * [taylor]: Taking taylor expansion of x in y
0.190 * [backup-simplify]: Simplify x into x
0.190 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.190 * [taylor]: Taking taylor expansion of y in y
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify (/ 1 1) into 1
0.191 * [backup-simplify]: Simplify (+ 0 1) into 1
0.191 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.191 * [taylor]: Taking taylor expansion of x in x
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify (/ 1 1) into 1
0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.191 * [taylor]: Taking taylor expansion of y in x
0.191 * [backup-simplify]: Simplify y into y
0.191 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.192 * [backup-simplify]: Simplify (+ 1 0) into 1
0.192 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.192 * [taylor]: Taking taylor expansion of x in x
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (/ 1 1) into 1
0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.192 * [taylor]: Taking taylor expansion of y in x
0.192 * [backup-simplify]: Simplify y into y
0.193 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.193 * [backup-simplify]: Simplify (+ 1 0) into 1
0.193 * [backup-simplify]: Simplify (* 1 1) into 1
0.193 * [taylor]: Taking taylor expansion of 1 in y
0.193 * [backup-simplify]: Simplify 1 into 1
0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.194 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y))
0.194 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.194 * [taylor]: Taking taylor expansion of 2 in y
0.194 * [backup-simplify]: Simplify 2 into 2
0.194 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.194 * [taylor]: Taking taylor expansion of y in y
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (/ 1 1) into 1
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2))
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.197 * [taylor]: Taking taylor expansion of y in y
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (* 1 1) into 1
0.198 * [backup-simplify]: Simplify (/ 1 1) into 1
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (* 2 1) into 2
0.199 * [backup-simplify]: Simplify 2 into 2
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [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 y 2) (+ (pow x 2) (* 2 (* x y))))
0.200 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 x) (/ 1 y)) 2)
0.200 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0
0.200 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.200 * [taylor]: Taking taylor expansion of x in y
0.200 * [backup-simplify]: Simplify x into x
0.200 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.200 * [taylor]: Taking taylor expansion of y in y
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify (/ 1 1) into 1
0.201 * [backup-simplify]: Simplify (+ 0 1) into 1
0.201 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.201 * [taylor]: Taking taylor expansion of x in x
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify (/ 1 1) into 1
0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.201 * [taylor]: Taking taylor expansion of y in x
0.201 * [backup-simplify]: Simplify y into y
0.201 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.202 * [backup-simplify]: Simplify (+ 1 0) into 1
0.202 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.202 * [taylor]: Taking taylor expansion of x in x
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (/ 1 1) into 1
0.202 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.202 * [taylor]: Taking taylor expansion of y in x
0.202 * [backup-simplify]: Simplify y into y
0.202 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.203 * [backup-simplify]: Simplify (+ 1 0) into 1
0.203 * [backup-simplify]: Simplify (* 1 1) into 1
0.203 * [taylor]: Taking taylor expansion of 1 in y
0.203 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.204 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.204 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y))
0.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.205 * [taylor]: Taking taylor expansion of 2 in y
0.205 * [backup-simplify]: Simplify 2 into 2
0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.205 * [taylor]: Taking taylor expansion of y in y
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (/ 1 1) into 1
0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2))
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.207 * [taylor]: Taking taylor expansion of y in y
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (* 1 1) into 1
0.212 * [backup-simplify]: Simplify (/ 1 1) into 1
0.212 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (* 2 1) into 2
0.213 * [backup-simplify]: Simplify 2 into 2
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [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 y 2) (+ (pow x 2) (* 2 (* x y))))
0.213 * * * [progress]: simplifying candidates
0.214 * [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 y 2) (+ (pow x 2) (* 2 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
0.216 * * [simplify]: iteration 0: 62 enodes
0.233 * * [simplify]: iteration 1: 226 enodes
0.374 * * [simplify]: iteration 2: 1759 enodes
0.968 * * [simplify]: iteration complete: 5000 enodes
0.968 * * [simplify]: Extracting #0: cost 25 inf + 0
0.969 * * [simplify]: Extracting #1: cost 736 inf + 2
0.974 * * [simplify]: Extracting #2: cost 1812 inf + 8819
0.996 * * [simplify]: Extracting #3: cost 1405 inf + 135658
1.055 * * [simplify]: Extracting #4: cost 190 inf + 331062
1.128 * * [simplify]: Extracting #5: cost 42 inf + 358292
1.199 * * [simplify]: Extracting #6: cost 3 inf + 367391
1.277 * * [simplify]: Extracting #7: cost 0 inf + 368150
1.365 * [simplify]: Simplified to:
  2
  (* (+ y x) (+ y x))
  2
  (log (* (+ y x) (+ y x)))
  (log (* (+ y x) (+ y x)))
  (exp (* (+ y x) (+ y x)))
  (* (* (+ y x) (* (+ y x) (+ y x))) (* (+ y x) (* (+ y x) (+ y x))))
  (* (cbrt (* (+ y x) (+ y x))) (cbrt (* (+ y x) (+ y x))))
  (cbrt (* (+ y x) (+ y x)))
  (* (* (+ y x) (* (+ y x) (+ y x))) (* (+ y x) (* (+ y x) (+ y x))))
  (fabs (+ y x))
  (fabs (+ y x))
  (* (+ (* (* y y) y) (* (* x x) x)) (+ (* (* y y) y) (* (* x x) x)))
  (* (+ (* y (- y x)) (* x x)) (+ (* y (- y x)) (* x x)))
  (* (* (+ y x) (- x y)) (+ (* (* y y) y) (* (* x x) x)))
  (* (+ (* y (- y x)) (* x x)) (- x y))
  (* (* (+ y x) (- x y)) (+ (* (* y y) y) (* (* x x) x)))
  (* (+ (* y (- y x)) (* x x)) (- x y))
  (* (* (+ y x) (- x y)) (* (+ y x) (- x y)))
  (* (- x y) (- x y))
  (* (cbrt (+ y x)) (+ y x))
  (* (cbrt (+ y x)) (cbrt (+ y x)))
  (+ y x)
  (+ y x)
  1
  (* (+ y x) (+ y x))
  1
  (* (+ y x) (+ y x))
  1
  (* (+ y x) (+ y x))
  1
  (* (+ y x) (+ y x))
  (+ y x)
  (+ y x)
  2
  (* x (+ x y))
  (* y (+ y x))
  (* x (+ x y))
  (* y (+ y x))
  (* (* (cbrt (+ y x)) (+ y x)) (cbrt (+ y x)))
  (* (+ y x) (sqrt (+ y x)))
  (+ y x)
  (+ y x)
  (* (cbrt (+ y x)) (+ y x))
  (* (+ y x) (sqrt (+ y x)))
  (* (+ y x) (+ y x))
  (* (+ y x) (+ y x))
  (* (+ (* (* y y) y) (* (* x x) x)) (+ x y))
  (* (* (+ y x) (+ y x)) (- x y))
  (* (+ (* (* y y) y) (* (* x x) x)) (+ x y))
  (* (* (+ y x) (+ y x)) (- x y))
  (+ (* x x) (+ (* (* 2 x) y) (* y y)))
  (+ (* x x) (+ (* (* 2 x) y) (* y y)))
  (+ (* x x) (+ (* (* 2 x) y) (* y y)))
1.368 * * * [progress]: adding candidates to table
1.494 * * [progress]: iteration 2 / 4
1.494 * * * [progress]: picking best candidate
1.501 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (+ (* (* 2 x) y) (* y y))))>
1.501 * * * [progress]: localizing error
1.513 * * * [progress]: generating rewritten candidates
1.514 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2)
1.528 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
1.594 * * * [progress]: generating series expansions
1.594 * * * * [progress]: [ 1 / 2 ] generating series at (2 2)
1.595 * [backup-simplify]: Simplify (+ (* (* 2 x) y) (* y y)) into (+ (pow y 2) (* 2 (* x y)))
1.595 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in (x y) around 0
1.595 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y
1.595 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.595 * [taylor]: Taking taylor expansion of y in y
1.595 * [backup-simplify]: Simplify 0 into 0
1.595 * [backup-simplify]: Simplify 1 into 1
1.595 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y
1.595 * [taylor]: Taking taylor expansion of 2 in y
1.595 * [backup-simplify]: Simplify 2 into 2
1.595 * [taylor]: Taking taylor expansion of (* x y) in y
1.595 * [taylor]: Taking taylor expansion of x in y
1.595 * [backup-simplify]: Simplify x into x
1.595 * [taylor]: Taking taylor expansion of y in y
1.595 * [backup-simplify]: Simplify 0 into 0
1.595 * [backup-simplify]: Simplify 1 into 1
1.595 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x
1.595 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.595 * [taylor]: Taking taylor expansion of y in x
1.595 * [backup-simplify]: Simplify y into y
1.595 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
1.595 * [taylor]: Taking taylor expansion of 2 in x
1.595 * [backup-simplify]: Simplify 2 into 2
1.595 * [taylor]: Taking taylor expansion of (* x y) in x
1.595 * [taylor]: Taking taylor expansion of x in x
1.595 * [backup-simplify]: Simplify 0 into 0
1.595 * [backup-simplify]: Simplify 1 into 1
1.595 * [taylor]: Taking taylor expansion of y in x
1.595 * [backup-simplify]: Simplify y into y
1.596 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x
1.596 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.596 * [taylor]: Taking taylor expansion of y in x
1.596 * [backup-simplify]: Simplify y into y
1.596 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
1.596 * [taylor]: Taking taylor expansion of 2 in x
1.596 * [backup-simplify]: Simplify 2 into 2
1.596 * [taylor]: Taking taylor expansion of (* x y) in x
1.596 * [taylor]: Taking taylor expansion of x in x
1.596 * [backup-simplify]: Simplify 0 into 0
1.596 * [backup-simplify]: Simplify 1 into 1
1.596 * [taylor]: Taking taylor expansion of y in x
1.596 * [backup-simplify]: Simplify y into y
1.596 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.596 * [backup-simplify]: Simplify (* 0 y) into 0
1.597 * [backup-simplify]: Simplify (* 2 0) into 0
1.597 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.597 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.597 * [taylor]: Taking taylor expansion of y in y
1.597 * [backup-simplify]: Simplify 0 into 0
1.597 * [backup-simplify]: Simplify 1 into 1
1.598 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.598 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.599 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y)
1.599 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
1.599 * [taylor]: Taking taylor expansion of (* 2 y) in y
1.599 * [taylor]: Taking taylor expansion of 2 in y
1.599 * [backup-simplify]: Simplify 2 into 2
1.599 * [taylor]: Taking taylor expansion of y in y
1.599 * [backup-simplify]: Simplify 0 into 0
1.599 * [backup-simplify]: Simplify 1 into 1
1.600 * [backup-simplify]: Simplify (* 2 0) into 0
1.600 * [backup-simplify]: Simplify 0 into 0
1.600 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
1.602 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0
1.603 * [backup-simplify]: Simplify (+ 0 0) into 0
1.603 * [taylor]: Taking taylor expansion of 0 in y
1.603 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
1.603 * [backup-simplify]: Simplify 2 into 2
1.604 * [backup-simplify]: Simplify (* 1 1) into 1
1.604 * [backup-simplify]: Simplify 1 into 1
1.605 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
1.607 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0
1.607 * [backup-simplify]: Simplify (+ 0 0) into 0
1.607 * [taylor]: Taking taylor expansion of 0 in y
1.607 * [backup-simplify]: Simplify 0 into 0
1.607 * [backup-simplify]: Simplify 0 into 0
1.607 * [backup-simplify]: Simplify 0 into 0
1.608 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
1.608 * [backup-simplify]: Simplify 0 into 0
1.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.609 * [backup-simplify]: Simplify 0 into 0
1.610 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.613 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0
1.614 * [backup-simplify]: Simplify (+ 0 0) into 0
1.614 * [taylor]: Taking taylor expansion of 0 in y
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 2 (* y x))) into (+ (pow y 2) (* 2 (* x y)))
1.615 * [backup-simplify]: Simplify (+ (* (* 2 (/ 1 x)) (/ 1 y)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))
1.615 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0
1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y
1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.615 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.615 * [taylor]: Taking taylor expansion of y in y
1.615 * [backup-simplify]: Simplify 0 into 0
1.615 * [backup-simplify]: Simplify 1 into 1
1.615 * [backup-simplify]: Simplify (* 1 1) into 1
1.615 * [backup-simplify]: Simplify (/ 1 1) into 1
1.615 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
1.616 * [taylor]: Taking taylor expansion of 2 in y
1.616 * [backup-simplify]: Simplify 2 into 2
1.616 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
1.616 * [taylor]: Taking taylor expansion of (* x y) in y
1.616 * [taylor]: Taking taylor expansion of x in y
1.616 * [backup-simplify]: Simplify x into x
1.616 * [taylor]: Taking taylor expansion of y in y
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify 1 into 1
1.616 * [backup-simplify]: Simplify (* x 0) into 0
1.616 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
1.616 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x
1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.616 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.616 * [taylor]: Taking taylor expansion of y in x
1.616 * [backup-simplify]: Simplify y into y
1.616 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.617 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.617 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
1.617 * [taylor]: Taking taylor expansion of 2 in x
1.617 * [backup-simplify]: Simplify 2 into 2
1.617 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
1.617 * [taylor]: Taking taylor expansion of (* x y) in x
1.617 * [taylor]: Taking taylor expansion of x in x
1.617 * [backup-simplify]: Simplify 0 into 0
1.617 * [backup-simplify]: Simplify 1 into 1
1.617 * [taylor]: Taking taylor expansion of y in x
1.617 * [backup-simplify]: Simplify y into y
1.617 * [backup-simplify]: Simplify (* 0 y) into 0
1.617 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.617 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x
1.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.617 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.617 * [taylor]: Taking taylor expansion of y in x
1.617 * [backup-simplify]: Simplify y into y
1.618 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.618 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.618 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
1.618 * [taylor]: Taking taylor expansion of 2 in x
1.618 * [backup-simplify]: Simplify 2 into 2
1.618 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
1.618 * [taylor]: Taking taylor expansion of (* x y) in x
1.618 * [taylor]: Taking taylor expansion of x in x
1.618 * [backup-simplify]: Simplify 0 into 0
1.618 * [backup-simplify]: Simplify 1 into 1
1.618 * [taylor]: Taking taylor expansion of y in x
1.618 * [backup-simplify]: Simplify y into y
1.618 * [backup-simplify]: Simplify (* 0 y) into 0
1.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.618 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.619 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
1.619 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
1.619 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
1.619 * [taylor]: Taking taylor expansion of 2 in y
1.619 * [backup-simplify]: Simplify 2 into 2
1.619 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.619 * [taylor]: Taking taylor expansion of y in y
1.619 * [backup-simplify]: Simplify 0 into 0
1.619 * [backup-simplify]: Simplify 1 into 1
1.619 * [backup-simplify]: Simplify (/ 1 1) into 1
1.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
1.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
1.620 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
1.620 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.620 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.620 * [taylor]: Taking taylor expansion of y in y
1.620 * [backup-simplify]: Simplify 0 into 0
1.620 * [backup-simplify]: Simplify 1 into 1
1.620 * [backup-simplify]: Simplify (* 1 1) into 1
1.621 * [backup-simplify]: Simplify (/ 1 1) into 1
1.621 * [backup-simplify]: Simplify 1 into 1
1.621 * [backup-simplify]: Simplify (* 2 1) into 2
1.621 * [backup-simplify]: Simplify 2 into 2
1.621 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
1.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.622 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.623 * [backup-simplify]: Simplify (+ 0 0) into 0
1.623 * [taylor]: Taking taylor expansion of 0 in y
1.623 * [backup-simplify]: Simplify 0 into 0
1.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.624 * [backup-simplify]: Simplify 0 into 0
1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.625 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.627 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
1.627 * [backup-simplify]: Simplify (+ 0 0) into 0
1.627 * [taylor]: Taking taylor expansion of 0 in y
1.627 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.628 * [backup-simplify]: Simplify 0 into 0
1.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.629 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.629 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0
1.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0
1.633 * [backup-simplify]: Simplify (+ 0 0) into 0
1.633 * [taylor]: Taking taylor expansion of 0 in y
1.633 * [backup-simplify]: Simplify 0 into 0
1.633 * [backup-simplify]: Simplify 0 into 0
1.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.634 * [backup-simplify]: Simplify 0 into 0
1.634 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* 2 (* x y)))
1.634 * [backup-simplify]: Simplify (+ (* (* 2 (/ 1 (- x))) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))
1.634 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0
1.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y
1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.635 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.635 * [taylor]: Taking taylor expansion of y in y
1.635 * [backup-simplify]: Simplify 0 into 0
1.635 * [backup-simplify]: Simplify 1 into 1
1.635 * [backup-simplify]: Simplify (* 1 1) into 1
1.635 * [backup-simplify]: Simplify (/ 1 1) into 1
1.635 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
1.635 * [taylor]: Taking taylor expansion of 2 in y
1.635 * [backup-simplify]: Simplify 2 into 2
1.635 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
1.635 * [taylor]: Taking taylor expansion of (* x y) in y
1.635 * [taylor]: Taking taylor expansion of x in y
1.635 * [backup-simplify]: Simplify x into x
1.635 * [taylor]: Taking taylor expansion of y in y
1.635 * [backup-simplify]: Simplify 0 into 0
1.635 * [backup-simplify]: Simplify 1 into 1
1.635 * [backup-simplify]: Simplify (* x 0) into 0
1.636 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
1.636 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x
1.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.636 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.636 * [taylor]: Taking taylor expansion of y in x
1.636 * [backup-simplify]: Simplify y into y
1.636 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.636 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.636 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
1.636 * [taylor]: Taking taylor expansion of 2 in x
1.636 * [backup-simplify]: Simplify 2 into 2
1.636 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
1.636 * [taylor]: Taking taylor expansion of (* x y) in x
1.636 * [taylor]: Taking taylor expansion of x in x
1.636 * [backup-simplify]: Simplify 0 into 0
1.636 * [backup-simplify]: Simplify 1 into 1
1.636 * [taylor]: Taking taylor expansion of y in x
1.636 * [backup-simplify]: Simplify y into y
1.636 * [backup-simplify]: Simplify (* 0 y) into 0
1.636 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.636 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x
1.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.636 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.636 * [taylor]: Taking taylor expansion of y in x
1.636 * [backup-simplify]: Simplify y into y
1.636 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.637 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.637 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
1.637 * [taylor]: Taking taylor expansion of 2 in x
1.637 * [backup-simplify]: Simplify 2 into 2
1.637 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
1.637 * [taylor]: Taking taylor expansion of (* x y) in x
1.637 * [taylor]: Taking taylor expansion of x in x
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [taylor]: Taking taylor expansion of y in x
1.637 * [backup-simplify]: Simplify y into y
1.637 * [backup-simplify]: Simplify (* 0 y) into 0
1.637 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.637 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.637 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
1.637 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
1.637 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
1.637 * [taylor]: Taking taylor expansion of 2 in y
1.637 * [backup-simplify]: Simplify 2 into 2
1.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.637 * [taylor]: Taking taylor expansion of y in y
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [backup-simplify]: Simplify (/ 1 1) into 1
1.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
1.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
1.638 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
1.638 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.639 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.639 * [taylor]: Taking taylor expansion of y in y
1.639 * [backup-simplify]: Simplify 0 into 0
1.639 * [backup-simplify]: Simplify 1 into 1
1.639 * [backup-simplify]: Simplify (* 1 1) into 1
1.639 * [backup-simplify]: Simplify (/ 1 1) into 1
1.639 * [backup-simplify]: Simplify 1 into 1
1.639 * [backup-simplify]: Simplify (* 2 1) into 2
1.639 * [backup-simplify]: Simplify 2 into 2
1.639 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
1.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.641 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.641 * [backup-simplify]: Simplify (+ 0 0) into 0
1.641 * [taylor]: Taking taylor expansion of 0 in y
1.641 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.643 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.645 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
1.646 * [backup-simplify]: Simplify (+ 0 0) into 0
1.646 * [taylor]: Taking taylor expansion of 0 in y
1.646 * [backup-simplify]: Simplify 0 into 0
1.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.647 * [backup-simplify]: Simplify 0 into 0
1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.648 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.648 * [backup-simplify]: Simplify 0 into 0
1.648 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0
1.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.651 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0
1.651 * [backup-simplify]: Simplify (+ 0 0) into 0
1.651 * [taylor]: Taking taylor expansion of 0 in y
1.651 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify 0 into 0
1.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.652 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* 2 (* x y)))
1.653 * * * * [progress]: [ 2 / 2 ] generating series at (2)
1.653 * [backup-simplify]: Simplify (+ (* x x) (+ (* (* 2 x) y) (* y y))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
1.653 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0
1.653 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y
1.653 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.653 * [taylor]: Taking taylor expansion of y in y
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 1 into 1
1.653 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y
1.653 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.653 * [taylor]: Taking taylor expansion of x in y
1.653 * [backup-simplify]: Simplify x into x
1.653 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y
1.653 * [taylor]: Taking taylor expansion of 2 in y
1.653 * [backup-simplify]: Simplify 2 into 2
1.653 * [taylor]: Taking taylor expansion of (* x y) in y
1.653 * [taylor]: Taking taylor expansion of x in y
1.653 * [backup-simplify]: Simplify x into x
1.653 * [taylor]: Taking taylor expansion of y in y
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 1 into 1
1.653 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x
1.653 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.653 * [taylor]: Taking taylor expansion of y in x
1.653 * [backup-simplify]: Simplify y into y
1.653 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x
1.653 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.653 * [taylor]: Taking taylor expansion of x in x
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 1 into 1
1.653 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
1.653 * [taylor]: Taking taylor expansion of 2 in x
1.653 * [backup-simplify]: Simplify 2 into 2
1.653 * [taylor]: Taking taylor expansion of (* x y) in x
1.653 * [taylor]: Taking taylor expansion of x in x
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 1 into 1
1.653 * [taylor]: Taking taylor expansion of y in x
1.653 * [backup-simplify]: Simplify y into y
1.653 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x
1.653 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.654 * [taylor]: Taking taylor expansion of y in x
1.654 * [backup-simplify]: Simplify y into y
1.654 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x
1.654 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.654 * [taylor]: Taking taylor expansion of x in x
1.654 * [backup-simplify]: Simplify 0 into 0
1.654 * [backup-simplify]: Simplify 1 into 1
1.654 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
1.654 * [taylor]: Taking taylor expansion of 2 in x
1.654 * [backup-simplify]: Simplify 2 into 2
1.654 * [taylor]: Taking taylor expansion of (* x y) in x
1.654 * [taylor]: Taking taylor expansion of x in x
1.654 * [backup-simplify]: Simplify 0 into 0
1.654 * [backup-simplify]: Simplify 1 into 1
1.654 * [taylor]: Taking taylor expansion of y in x
1.654 * [backup-simplify]: Simplify y into y
1.654 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.654 * [backup-simplify]: Simplify (* 0 y) into 0
1.654 * [backup-simplify]: Simplify (* 2 0) into 0
1.654 * [backup-simplify]: Simplify (+ 0 0) into 0
1.654 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.655 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.655 * [taylor]: Taking taylor expansion of y in y
1.655 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify 1 into 1
1.655 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.655 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.655 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y)
1.656 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
1.656 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
1.656 * [taylor]: Taking taylor expansion of (* 2 y) in y
1.656 * [taylor]: Taking taylor expansion of 2 in y
1.656 * [backup-simplify]: Simplify 2 into 2
1.656 * [taylor]: Taking taylor expansion of y in y
1.656 * [backup-simplify]: Simplify 0 into 0
1.656 * [backup-simplify]: Simplify 1 into 1
1.656 * [backup-simplify]: Simplify (* 2 0) into 0
1.656 * [backup-simplify]: Simplify 0 into 0
1.657 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.659 * [backup-simplify]: Simplify (* 1 1) into 1
1.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
1.661 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0
1.661 * [backup-simplify]: Simplify (+ 1 0) into 1
1.662 * [backup-simplify]: Simplify (+ 0 1) into 1
1.662 * [taylor]: Taking taylor expansion of 1 in y
1.662 * [backup-simplify]: Simplify 1 into 1
1.662 * [backup-simplify]: Simplify 1 into 1
1.663 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
1.663 * [backup-simplify]: Simplify 2 into 2
1.663 * [backup-simplify]: Simplify (* 1 1) into 1
1.663 * [backup-simplify]: Simplify 1 into 1
1.664 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
1.664 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (+ (* (* 2 (/ 1 x)) (/ 1 y)) (* (/ 1 y) (/ 1 y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))))
1.664 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0
1.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y
1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.664 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.664 * [taylor]: Taking taylor expansion of y in y
1.664 * [backup-simplify]: Simplify 0 into 0
1.664 * [backup-simplify]: Simplify 1 into 1
1.665 * [backup-simplify]: Simplify (* 1 1) into 1
1.665 * [backup-simplify]: Simplify (/ 1 1) into 1
1.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y
1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.665 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.665 * [taylor]: Taking taylor expansion of x in y
1.665 * [backup-simplify]: Simplify x into x
1.665 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.665 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
1.665 * [taylor]: Taking taylor expansion of 2 in y
1.665 * [backup-simplify]: Simplify 2 into 2
1.665 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
1.665 * [taylor]: Taking taylor expansion of (* x y) in y
1.665 * [taylor]: Taking taylor expansion of x in y
1.665 * [backup-simplify]: Simplify x into x
1.665 * [taylor]: Taking taylor expansion of y in y
1.665 * [backup-simplify]: Simplify 0 into 0
1.665 * [backup-simplify]: Simplify 1 into 1
1.666 * [backup-simplify]: Simplify (* x 0) into 0
1.666 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
1.666 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.666 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.666 * [taylor]: Taking taylor expansion of y in x
1.666 * [backup-simplify]: Simplify y into y
1.666 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.666 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.666 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.666 * [taylor]: Taking taylor expansion of x in x
1.666 * [backup-simplify]: Simplify 0 into 0
1.666 * [backup-simplify]: Simplify 1 into 1
1.667 * [backup-simplify]: Simplify (* 1 1) into 1
1.667 * [backup-simplify]: Simplify (/ 1 1) into 1
1.667 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
1.667 * [taylor]: Taking taylor expansion of 2 in x
1.667 * [backup-simplify]: Simplify 2 into 2
1.667 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
1.667 * [taylor]: Taking taylor expansion of (* x y) in x
1.667 * [taylor]: Taking taylor expansion of x in x
1.667 * [backup-simplify]: Simplify 0 into 0
1.667 * [backup-simplify]: Simplify 1 into 1
1.667 * [taylor]: Taking taylor expansion of y in x
1.667 * [backup-simplify]: Simplify y into y
1.667 * [backup-simplify]: Simplify (* 0 y) into 0
1.668 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.668 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.668 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.668 * [taylor]: Taking taylor expansion of y in x
1.668 * [backup-simplify]: Simplify y into y
1.668 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.668 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.668 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.668 * [taylor]: Taking taylor expansion of x in x
1.668 * [backup-simplify]: Simplify 0 into 0
1.668 * [backup-simplify]: Simplify 1 into 1
1.669 * [backup-simplify]: Simplify (* 1 1) into 1
1.669 * [backup-simplify]: Simplify (/ 1 1) into 1
1.669 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
1.669 * [taylor]: Taking taylor expansion of 2 in x
1.669 * [backup-simplify]: Simplify 2 into 2
1.669 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
1.669 * [taylor]: Taking taylor expansion of (* x y) in x
1.669 * [taylor]: Taking taylor expansion of x in x
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [backup-simplify]: Simplify 1 into 1
1.669 * [taylor]: Taking taylor expansion of y in x
1.669 * [backup-simplify]: Simplify y into y
1.669 * [backup-simplify]: Simplify (* 0 y) into 0
1.670 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.670 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.670 * [backup-simplify]: Simplify (+ 1 0) into 1
1.671 * [backup-simplify]: Simplify (+ 0 1) into 1
1.671 * [taylor]: Taking taylor expansion of 1 in y
1.671 * [backup-simplify]: Simplify 1 into 1
1.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.672 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
1.672 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
1.672 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y))
1.672 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
1.672 * [taylor]: Taking taylor expansion of 2 in y
1.672 * [backup-simplify]: Simplify 2 into 2
1.672 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.673 * [taylor]: Taking taylor expansion of y in y
1.673 * [backup-simplify]: Simplify 0 into 0
1.673 * [backup-simplify]: Simplify 1 into 1
1.673 * [backup-simplify]: Simplify (/ 1 1) into 1
1.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
1.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
1.676 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
1.676 * [backup-simplify]: Simplify (+ 0 0) into 0
1.676 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.676 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.676 * [taylor]: Taking taylor expansion of y in y
1.676 * [backup-simplify]: Simplify 0 into 0
1.676 * [backup-simplify]: Simplify 1 into 1
1.677 * [backup-simplify]: Simplify (* 1 1) into 1
1.677 * [backup-simplify]: Simplify (/ 1 1) into 1
1.677 * [backup-simplify]: Simplify 1 into 1
1.677 * [backup-simplify]: Simplify (* 2 1) into 2
1.677 * [backup-simplify]: Simplify 2 into 2
1.678 * [backup-simplify]: Simplify 1 into 1
1.678 * [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 y 2) (+ (pow x 2) (* 2 (* x y))))
1.679 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (* 2 (/ 1 (- x))) (/ 1 (- y))) (* (/ 1 (- y)) (/ 1 (- y))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))))
1.679 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0
1.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y
1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.679 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.679 * [taylor]: Taking taylor expansion of y in y
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify 1 into 1
1.679 * [backup-simplify]: Simplify (* 1 1) into 1
1.680 * [backup-simplify]: Simplify (/ 1 1) into 1
1.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y
1.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.680 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.680 * [taylor]: Taking taylor expansion of x in y
1.680 * [backup-simplify]: Simplify x into x
1.680 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.680 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.680 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
1.680 * [taylor]: Taking taylor expansion of 2 in y
1.680 * [backup-simplify]: Simplify 2 into 2
1.680 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
1.680 * [taylor]: Taking taylor expansion of (* x y) in y
1.680 * [taylor]: Taking taylor expansion of x in y
1.680 * [backup-simplify]: Simplify x into x
1.680 * [taylor]: Taking taylor expansion of y in y
1.680 * [backup-simplify]: Simplify 0 into 0
1.680 * [backup-simplify]: Simplify 1 into 1
1.680 * [backup-simplify]: Simplify (* x 0) into 0
1.681 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
1.681 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.681 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.681 * [taylor]: Taking taylor expansion of y in x
1.681 * [backup-simplify]: Simplify y into y
1.681 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.682 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.682 * [taylor]: Taking taylor expansion of x in x
1.682 * [backup-simplify]: Simplify 0 into 0
1.682 * [backup-simplify]: Simplify 1 into 1
1.682 * [backup-simplify]: Simplify (* 1 1) into 1
1.683 * [backup-simplify]: Simplify (/ 1 1) into 1
1.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
1.683 * [taylor]: Taking taylor expansion of 2 in x
1.683 * [backup-simplify]: Simplify 2 into 2
1.683 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
1.683 * [taylor]: Taking taylor expansion of (* x y) in x
1.683 * [taylor]: Taking taylor expansion of x in x
1.683 * [backup-simplify]: Simplify 0 into 0
1.683 * [backup-simplify]: Simplify 1 into 1
1.683 * [taylor]: Taking taylor expansion of y in x
1.683 * [backup-simplify]: Simplify y into y
1.683 * [backup-simplify]: Simplify (* 0 y) into 0
1.684 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.684 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.684 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.684 * [taylor]: Taking taylor expansion of y in x
1.684 * [backup-simplify]: Simplify y into y
1.684 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.684 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.684 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.684 * [taylor]: Taking taylor expansion of x in x
1.684 * [backup-simplify]: Simplify 0 into 0
1.684 * [backup-simplify]: Simplify 1 into 1
1.685 * [backup-simplify]: Simplify (* 1 1) into 1
1.685 * [backup-simplify]: Simplify (/ 1 1) into 1
1.685 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
1.685 * [taylor]: Taking taylor expansion of 2 in x
1.685 * [backup-simplify]: Simplify 2 into 2
1.685 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
1.685 * [taylor]: Taking taylor expansion of (* x y) in x
1.685 * [taylor]: Taking taylor expansion of x in x
1.685 * [backup-simplify]: Simplify 0 into 0
1.685 * [backup-simplify]: Simplify 1 into 1
1.685 * [taylor]: Taking taylor expansion of y in x
1.686 * [backup-simplify]: Simplify y into y
1.686 * [backup-simplify]: Simplify (* 0 y) into 0
1.686 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.686 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.687 * [backup-simplify]: Simplify (+ 1 0) into 1
1.687 * [backup-simplify]: Simplify (+ 0 1) into 1
1.687 * [taylor]: Taking taylor expansion of 1 in y
1.687 * [backup-simplify]: Simplify 1 into 1
1.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.689 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
1.689 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
1.689 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y))
1.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
1.689 * [taylor]: Taking taylor expansion of 2 in y
1.689 * [backup-simplify]: Simplify 2 into 2
1.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.689 * [taylor]: Taking taylor expansion of y in y
1.689 * [backup-simplify]: Simplify 0 into 0
1.689 * [backup-simplify]: Simplify 1 into 1
1.689 * [backup-simplify]: Simplify (/ 1 1) into 1
1.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
1.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
1.693 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
1.693 * [backup-simplify]: Simplify (+ 0 0) into 0
1.693 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.693 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.693 * [taylor]: Taking taylor expansion of y in y
1.693 * [backup-simplify]: Simplify 0 into 0
1.693 * [backup-simplify]: Simplify 1 into 1
1.694 * [backup-simplify]: Simplify (* 1 1) into 1
1.694 * [backup-simplify]: Simplify (/ 1 1) into 1
1.694 * [backup-simplify]: Simplify 1 into 1
1.695 * [backup-simplify]: Simplify (* 2 1) into 2
1.695 * [backup-simplify]: Simplify 2 into 2
1.695 * [backup-simplify]: Simplify 1 into 1
1.696 * [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 y 2) (+ (pow x 2) (* 2 (* x y))))
1.696 * * * [progress]: simplifying candidates
1.697 * [simplify]: Simplifying:
  (* (exp (* (* 2 x) y)) (exp (* y y)))
  (log (+ (* (* 2 x) y) (* y y)))
  (exp (+ (* (* 2 x) y) (* y y)))
  (* (cbrt (+ (* (* 2 x) y) (* y y))) (cbrt (+ (* (* 2 x) y) (* y y))))
  (cbrt (+ (* (* 2 x) y) (* y y)))
  (* (* (+ (* (* 2 x) y) (* y y)) (+ (* (* 2 x) y) (* y y))) (+ (* (* 2 x) y) (* y y)))
  (sqrt (+ (* (* 2 x) y) (* y y)))
  (sqrt (+ (* (* 2 x) y) (* y y)))
  (+ (pow (* (* 2 x) y) 3) (pow (* y y) 3))
  (+ (* (* (* 2 x) y) (* (* 2 x) y)) (- (* (* y y) (* y y)) (* (* (* 2 x) y) (* y y))))
  (- (* (* (* 2 x) y) (* (* 2 x) y)) (* (* y y) (* y y)))
  (- (* (* 2 x) y) (* y y))
  (+ (* 2 x) y)
  (* (exp (* x x)) (* (exp (* (* 2 x) y)) (exp (* y y))))
  (* (exp (* x x)) (exp (+ (* (* 2 x) y) (* y y))))
  (log (+ (* x x) (+ (* (* 2 x) y) (* y y))))
  (exp (+ (* x x) (+ (* (* 2 x) y) (* y y))))
  (* (cbrt (+ (* x x) (+ (* (* 2 x) y) (* y y)))) (cbrt (+ (* x x) (+ (* (* 2 x) y) (* y y)))))
  (cbrt (+ (* x x) (+ (* (* 2 x) y) (* y y))))
  (* (* (+ (* x x) (+ (* (* 2 x) y) (* y y))) (+ (* x x) (+ (* (* 2 x) y) (* y y)))) (+ (* x x) (+ (* (* 2 x) y) (* y y))))
  (sqrt (+ (* x x) (+ (* (* 2 x) y) (* y y))))
  (sqrt (+ (* x x) (+ (* (* 2 x) y) (* y y))))
  (+ (pow (* x x) 3) (pow (+ (* (* 2 x) y) (* y y)) 3))
  (+ (* (* x x) (* x x)) (- (* (+ (* (* 2 x) y) (* y y)) (+ (* (* 2 x) y) (* y y))) (* (* x x) (+ (* (* 2 x) y) (* y y)))))
  (- (* (* x x) (* x x)) (* (+ (* (* 2 x) y) (* y y)) (+ (* (* 2 x) y) (* y y))))
  (- (* x x) (+ (* (* 2 x) y) (* y y)))
  (+ (* x x) (* (* 2 x) y))
  (+ (pow y 2) (* 2 (* x y)))
  (+ (pow y 2) (* 2 (* x y)))
  (+ (pow y 2) (* 2 (* x y)))
  (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
1.698 * * [simplify]: iteration 0: 58 enodes
1.716 * * [simplify]: iteration 1: 218 enodes
1.899 * * [simplify]: iteration 2: 1540 enodes
2.315 * * [simplify]: iteration complete: 5002 enodes
2.315 * * [simplify]: Extracting #0: cost 24 inf + 0
2.316 * * [simplify]: Extracting #1: cost 318 inf + 0
2.320 * * [simplify]: Extracting #2: cost 1713 inf + 437
2.328 * * [simplify]: Extracting #3: cost 1958 inf + 28647
2.350 * * [simplify]: Extracting #4: cost 1110 inf + 144157
2.438 * * [simplify]: Extracting #5: cost 184 inf + 367138
2.533 * * [simplify]: Extracting #6: cost 13 inf + 397527
2.602 * * [simplify]: Extracting #7: cost 0 inf + 401448
2.673 * [simplify]: Simplified to:
  (exp (* y (+ y (* 2 x))))
  (log (* y (+ y (* 2 x))))
  (exp (* y (+ 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))))
  (* (* y (* y y)) (+ (* (* x (* x x)) 8) (* y (* y y))))
  (+ (* (* (* y x) (* y x)) 4) (* (- (* y y) (* (* 2 y) x)) (* y y)))
  (* (* y y) (- (* 4 (* x x)) (* y y)))
  (* (- (* 2 x) y) y)
  (+ y (* 2 x))
  (exp (+ (* y (+ y (* 2 x))) (* x x)))
  (exp (+ (* y (+ y (* 2 x))) (* x x)))
  (log (+ (* x x) (* y (+ y (* 2 x)))))
  (exp (+ (* y (+ y (* 2 x))) (* x x)))
  (* (cbrt (+ (* x x) (* y (+ y (* 2 x))))) (cbrt (+ (* x x) (* y (+ y (* 2 x))))))
  (cbrt (+ (* x x) (* y (+ y (* 2 x)))))
  (* (+ (* x x) (* y (+ y (* 2 x)))) (* (+ (* x x) (* y (+ y (* 2 x)))) (+ (* x x) (* y (+ y (* 2 x))))))
  (sqrt (+ (* x x) (* y (+ y (* 2 x)))))
  (sqrt (+ (* x x) (* y (+ y (* 2 x)))))
  (+ (* (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* y (+ y (* 2 x)))) (* (* (* x x) (* x x)) (* x x)))
  (+ (* (* y (+ y (* 2 x))) (- (* y (+ y (* 2 x))) (* x x))) (* (* x x) (* x x)))
  (* (+ (* x x) (* y (+ y (* 2 x)))) (- (* x x) (* y (+ y (* 2 x)))))
  (- (* x x) (* y (+ y (* 2 x))))
  (+ (* x x) (* (* 2 y) x))
  (* y (+ y (* 2 x)))
  (* y (+ y (* 2 x)))
  (* y (+ y (* 2 x)))
  (+ (* x x) (* y (+ y (* 2 x))))
  (+ (* x x) (* y (+ y (* 2 x))))
  (+ (* x x) (* y (+ y (* 2 x))))
2.675 * * * [progress]: adding candidates to table
2.774 * * [progress]: iteration 3 / 4
2.774 * * * [progress]: picking best candidate
2.786 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x x) (* y (+ (* 2 x) y))))>
2.786 * * * [progress]: localizing error
2.796 * * * [progress]: generating rewritten candidates
2.797 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2)
2.817 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
2.825 * * * [progress]: generating series expansions
2.825 * * * * [progress]: [ 1 / 2 ] generating series at (2 2)
2.825 * [backup-simplify]: Simplify (* y (+ (* 2 x) y)) into (* (+ (* 2 x) y) y)
2.825 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0
2.825 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x
2.825 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x
2.825 * [taylor]: Taking taylor expansion of (* 2 x) in x
2.825 * [taylor]: Taking taylor expansion of 2 in x
2.825 * [backup-simplify]: Simplify 2 into 2
2.825 * [taylor]: Taking taylor expansion of x in x
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 1 into 1
2.825 * [taylor]: Taking taylor expansion of y in x
2.825 * [backup-simplify]: Simplify y into y
2.825 * [taylor]: Taking taylor expansion of y in x
2.825 * [backup-simplify]: Simplify y into y
2.825 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y
2.825 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y
2.825 * [taylor]: Taking taylor expansion of (* 2 x) in y
2.825 * [taylor]: Taking taylor expansion of 2 in y
2.825 * [backup-simplify]: Simplify 2 into 2
2.825 * [taylor]: Taking taylor expansion of x in y
2.825 * [backup-simplify]: Simplify x into x
2.825 * [taylor]: Taking taylor expansion of y in y
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 1 into 1
2.825 * [taylor]: Taking taylor expansion of y in y
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 1 into 1
2.825 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y
2.825 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y
2.825 * [taylor]: Taking taylor expansion of (* 2 x) in y
2.825 * [taylor]: Taking taylor expansion of 2 in y
2.825 * [backup-simplify]: Simplify 2 into 2
2.825 * [taylor]: Taking taylor expansion of x in y
2.825 * [backup-simplify]: Simplify x into x
2.825 * [taylor]: Taking taylor expansion of y in y
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 1 into 1
2.825 * [taylor]: Taking taylor expansion of y in y
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 1 into 1
2.826 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
2.826 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
2.826 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0
2.826 * [taylor]: Taking taylor expansion of 0 in x
2.826 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0
2.826 * [backup-simplify]: Simplify (+ 0 1) into 1
2.827 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x)
2.827 * [taylor]: Taking taylor expansion of (* 2 x) in x
2.827 * [taylor]: Taking taylor expansion of 2 in x
2.827 * [backup-simplify]: Simplify 2 into 2
2.827 * [taylor]: Taking taylor expansion of x in x
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 1 into 1
2.827 * [backup-simplify]: Simplify (* 2 0) into 0
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 0 into 0
2.828 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0
2.828 * [backup-simplify]: Simplify (+ 0 0) into 0
2.828 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1
2.828 * [taylor]: Taking taylor expansion of 1 in x
2.828 * [backup-simplify]: Simplify 1 into 1
2.828 * [backup-simplify]: Simplify 1 into 1
2.829 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
2.829 * [backup-simplify]: Simplify 2 into 2
2.829 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
2.830 * [backup-simplify]: Simplify (+ 0 0) into 0
2.831 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.831 * [taylor]: Taking taylor expansion of 0 in x
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
2.832 * [backup-simplify]: Simplify (+ 0 0) into 0
2.833 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.833 * [taylor]: Taking taylor expansion of 0 in x
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y)))
2.833 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) into (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y)
2.833 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in (y x) around 0
2.834 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in x
2.834 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x
2.834 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
2.834 * [taylor]: Taking taylor expansion of 2 in x
2.834 * [backup-simplify]: Simplify 2 into 2
2.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.834 * [taylor]: Taking taylor expansion of x in x
2.834 * [backup-simplify]: Simplify 0 into 0
2.834 * [backup-simplify]: Simplify 1 into 1
2.834 * [backup-simplify]: Simplify (/ 1 1) into 1
2.834 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.834 * [taylor]: Taking taylor expansion of y in x
2.834 * [backup-simplify]: Simplify y into y
2.834 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.834 * [taylor]: Taking taylor expansion of y in x
2.834 * [backup-simplify]: Simplify y into y
2.834 * [backup-simplify]: Simplify (* 2 1) into 2
2.835 * [backup-simplify]: Simplify (+ 2 0) into 2
2.835 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y)
2.835 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y
2.835 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y
2.835 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y
2.835 * [taylor]: Taking taylor expansion of 2 in y
2.835 * [backup-simplify]: Simplify 2 into 2
2.835 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.835 * [taylor]: Taking taylor expansion of x in y
2.835 * [backup-simplify]: Simplify x into x
2.835 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.835 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.835 * [taylor]: Taking taylor expansion of y in y
2.835 * [backup-simplify]: Simplify 0 into 0
2.835 * [backup-simplify]: Simplify 1 into 1
2.835 * [backup-simplify]: Simplify (/ 1 1) into 1
2.835 * [taylor]: Taking taylor expansion of y in y
2.835 * [backup-simplify]: Simplify 0 into 0
2.835 * [backup-simplify]: Simplify 1 into 1
2.835 * [backup-simplify]: Simplify (+ 0 1) into 1
2.836 * [backup-simplify]: Simplify (/ 1 1) into 1
2.836 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y
2.836 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y
2.836 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y
2.836 * [taylor]: Taking taylor expansion of 2 in y
2.836 * [backup-simplify]: Simplify 2 into 2
2.836 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.836 * [taylor]: Taking taylor expansion of x in y
2.836 * [backup-simplify]: Simplify x into x
2.836 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.836 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.836 * [taylor]: Taking taylor expansion of y in y
2.836 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify 1 into 1
2.836 * [backup-simplify]: Simplify (/ 1 1) into 1
2.836 * [taylor]: Taking taylor expansion of y in y
2.836 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify 1 into 1
2.837 * [backup-simplify]: Simplify (+ 0 1) into 1
2.837 * [backup-simplify]: Simplify (/ 1 1) into 1
2.837 * [taylor]: Taking taylor expansion of 1 in x
2.837 * [backup-simplify]: Simplify 1 into 1
2.837 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x)
2.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.837 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x))
2.838 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x))
2.838 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
2.838 * [taylor]: Taking taylor expansion of 2 in x
2.838 * [backup-simplify]: Simplify 2 into 2
2.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.838 * [taylor]: Taking taylor expansion of x in x
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 1 into 1
2.839 * [backup-simplify]: Simplify (/ 1 1) into 1
2.839 * [backup-simplify]: Simplify (* 2 1) into 2
2.839 * [backup-simplify]: Simplify 2 into 2
2.839 * [backup-simplify]: Simplify 1 into 1
2.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.839 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0
2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.840 * [backup-simplify]: Simplify (+ 0 0) into 0
2.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0
2.841 * [taylor]: Taking taylor expansion of 0 in x
2.841 * [backup-simplify]: Simplify 0 into 0
2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.842 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
2.842 * [backup-simplify]: Simplify 0 into 0
2.842 * [backup-simplify]: Simplify 0 into 0
2.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.843 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.843 * [backup-simplify]: Simplify (+ 0 0) into 0
2.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.845 * [taylor]: Taking taylor expansion of 0 in x
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
2.849 * [backup-simplify]: Simplify 0 into 0
2.849 * [backup-simplify]: Simplify 0 into 0
2.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.851 * [backup-simplify]: Simplify (+ 0 0) into 0
2.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.852 * [taylor]: Taking taylor expansion of 0 in x
2.852 * [backup-simplify]: Simplify 0 into 0
2.852 * [backup-simplify]: Simplify 0 into 0
2.853 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y)))
2.853 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) into (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y)
2.853 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in (y x) around 0
2.853 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in x
2.853 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x
2.853 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
2.853 * [taylor]: Taking taylor expansion of 2 in x
2.853 * [backup-simplify]: Simplify 2 into 2
2.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.853 * [taylor]: Taking taylor expansion of x in x
2.853 * [backup-simplify]: Simplify 0 into 0
2.853 * [backup-simplify]: Simplify 1 into 1
2.853 * [backup-simplify]: Simplify (/ 1 1) into 1
2.853 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.853 * [taylor]: Taking taylor expansion of y in x
2.853 * [backup-simplify]: Simplify y into y
2.853 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.853 * [taylor]: Taking taylor expansion of y in x
2.853 * [backup-simplify]: Simplify y into y
2.854 * [backup-simplify]: Simplify (* 2 1) into 2
2.854 * [backup-simplify]: Simplify (+ 2 0) into 2
2.854 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y)
2.854 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y
2.854 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y
2.854 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y
2.854 * [taylor]: Taking taylor expansion of 2 in y
2.854 * [backup-simplify]: Simplify 2 into 2
2.854 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.854 * [taylor]: Taking taylor expansion of x in y
2.854 * [backup-simplify]: Simplify x into x
2.854 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.854 * [taylor]: Taking taylor expansion of y in y
2.854 * [backup-simplify]: Simplify 0 into 0
2.854 * [backup-simplify]: Simplify 1 into 1
2.854 * [backup-simplify]: Simplify (/ 1 1) into 1
2.854 * [taylor]: Taking taylor expansion of y in y
2.854 * [backup-simplify]: Simplify 0 into 0
2.854 * [backup-simplify]: Simplify 1 into 1
2.855 * [backup-simplify]: Simplify (+ 0 1) into 1
2.855 * [backup-simplify]: Simplify (/ 1 1) into 1
2.855 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 x)) (/ 1 y)) y) in y
2.855 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y
2.855 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y
2.855 * [taylor]: Taking taylor expansion of 2 in y
2.855 * [backup-simplify]: Simplify 2 into 2
2.855 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.855 * [taylor]: Taking taylor expansion of x in y
2.855 * [backup-simplify]: Simplify x into x
2.855 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.855 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.855 * [taylor]: Taking taylor expansion of y in y
2.855 * [backup-simplify]: Simplify 0 into 0
2.855 * [backup-simplify]: Simplify 1 into 1
2.855 * [backup-simplify]: Simplify (/ 1 1) into 1
2.856 * [taylor]: Taking taylor expansion of y in y
2.856 * [backup-simplify]: Simplify 0 into 0
2.856 * [backup-simplify]: Simplify 1 into 1
2.856 * [backup-simplify]: Simplify (+ 0 1) into 1
2.856 * [backup-simplify]: Simplify (/ 1 1) into 1
2.856 * [taylor]: Taking taylor expansion of 1 in x
2.856 * [backup-simplify]: Simplify 1 into 1
2.856 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x)
2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.857 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x))
2.857 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x))
2.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
2.857 * [taylor]: Taking taylor expansion of 2 in x
2.857 * [backup-simplify]: Simplify 2 into 2
2.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.857 * [taylor]: Taking taylor expansion of x in x
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.858 * [backup-simplify]: Simplify (/ 1 1) into 1
2.858 * [backup-simplify]: Simplify (* 2 1) into 2
2.858 * [backup-simplify]: Simplify 2 into 2
2.858 * [backup-simplify]: Simplify 1 into 1
2.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.858 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0
2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.859 * [backup-simplify]: Simplify (+ 0 0) into 0
2.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0
2.860 * [taylor]: Taking taylor expansion of 0 in x
2.860 * [backup-simplify]: Simplify 0 into 0
2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
2.861 * [backup-simplify]: Simplify 0 into 0
2.861 * [backup-simplify]: Simplify 0 into 0
2.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.862 * [backup-simplify]: Simplify (+ 0 0) into 0
2.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.863 * [taylor]: Taking taylor expansion of 0 in x
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 0 into 0
2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
2.864 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.866 * [backup-simplify]: Simplify (+ 0 0) into 0
2.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.868 * [taylor]: Taking taylor expansion of 0 in x
2.868 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y)))
2.868 * * * * [progress]: [ 2 / 2 ] generating series at (2)
2.868 * [backup-simplify]: Simplify (+ (* x x) (* y (+ (* 2 x) y))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
2.868 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0
2.868 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y
2.868 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.868 * [taylor]: Taking taylor expansion of y in y
2.868 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify 1 into 1
2.868 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y
2.868 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.868 * [taylor]: Taking taylor expansion of x in y
2.868 * [backup-simplify]: Simplify x into x
2.868 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y
2.868 * [taylor]: Taking taylor expansion of 2 in y
2.868 * [backup-simplify]: Simplify 2 into 2
2.868 * [taylor]: Taking taylor expansion of (* x y) in y
2.868 * [taylor]: Taking taylor expansion of x in y
2.868 * [backup-simplify]: Simplify x into x
2.868 * [taylor]: Taking taylor expansion of y in y
2.868 * [backup-simplify]: Simplify 0 into 0
2.868 * [backup-simplify]: Simplify 1 into 1
2.869 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x
2.869 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.869 * [taylor]: Taking taylor expansion of y in x
2.869 * [backup-simplify]: Simplify y into y
2.869 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x
2.869 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.869 * [taylor]: Taking taylor expansion of x in x
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 1 into 1
2.869 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
2.869 * [taylor]: Taking taylor expansion of 2 in x
2.869 * [backup-simplify]: Simplify 2 into 2
2.869 * [taylor]: Taking taylor expansion of (* x y) in x
2.869 * [taylor]: Taking taylor expansion of x in x
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 1 into 1
2.869 * [taylor]: Taking taylor expansion of y in x
2.869 * [backup-simplify]: Simplify y into y
2.869 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x
2.869 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.869 * [taylor]: Taking taylor expansion of y in x
2.869 * [backup-simplify]: Simplify y into y
2.869 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x
2.869 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.869 * [taylor]: Taking taylor expansion of x in x
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 1 into 1
2.869 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
2.869 * [taylor]: Taking taylor expansion of 2 in x
2.869 * [backup-simplify]: Simplify 2 into 2
2.869 * [taylor]: Taking taylor expansion of (* x y) in x
2.869 * [taylor]: Taking taylor expansion of x in x
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 1 into 1
2.869 * [taylor]: Taking taylor expansion of y in x
2.869 * [backup-simplify]: Simplify y into y
2.869 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.869 * [backup-simplify]: Simplify (* 0 y) into 0
2.869 * [backup-simplify]: Simplify (* 2 0) into 0
2.870 * [backup-simplify]: Simplify (+ 0 0) into 0
2.870 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.870 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.870 * [taylor]: Taking taylor expansion of y in y
2.870 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify 1 into 1
2.870 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.870 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y)
2.870 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
2.871 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
2.871 * [taylor]: Taking taylor expansion of (* 2 y) in y
2.871 * [taylor]: Taking taylor expansion of 2 in y
2.871 * [backup-simplify]: Simplify 2 into 2
2.871 * [taylor]: Taking taylor expansion of y in y
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify 1 into 1
2.871 * [backup-simplify]: Simplify (* 2 0) into 0
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.871 * [backup-simplify]: Simplify (* 1 1) into 1
2.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0
2.873 * [backup-simplify]: Simplify (+ 1 0) into 1
2.873 * [backup-simplify]: Simplify (+ 0 1) into 1
2.873 * [taylor]: Taking taylor expansion of 1 in y
2.873 * [backup-simplify]: Simplify 1 into 1
2.873 * [backup-simplify]: Simplify 1 into 1
2.873 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
2.873 * [backup-simplify]: Simplify 2 into 2
2.874 * [backup-simplify]: Simplify (* 1 1) into 1
2.874 * [backup-simplify]: Simplify 1 into 1
2.874 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
2.874 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))))
2.874 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0
2.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y
2.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.874 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.874 * [taylor]: Taking taylor expansion of y in y
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify 1 into 1
2.875 * [backup-simplify]: Simplify (* 1 1) into 1
2.875 * [backup-simplify]: Simplify (/ 1 1) into 1
2.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y
2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.875 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.875 * [taylor]: Taking taylor expansion of x in y
2.875 * [backup-simplify]: Simplify x into x
2.875 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.875 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.875 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
2.875 * [taylor]: Taking taylor expansion of 2 in y
2.875 * [backup-simplify]: Simplify 2 into 2
2.875 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.875 * [taylor]: Taking taylor expansion of (* x y) in y
2.875 * [taylor]: Taking taylor expansion of x in y
2.875 * [backup-simplify]: Simplify x into x
2.875 * [taylor]: Taking taylor expansion of y in y
2.875 * [backup-simplify]: Simplify 0 into 0
2.875 * [backup-simplify]: Simplify 1 into 1
2.875 * [backup-simplify]: Simplify (* x 0) into 0
2.876 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.876 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.876 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.876 * [taylor]: Taking taylor expansion of y in x
2.876 * [backup-simplify]: Simplify y into y
2.876 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.876 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.876 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.876 * [taylor]: Taking taylor expansion of x in x
2.876 * [backup-simplify]: Simplify 0 into 0
2.876 * [backup-simplify]: Simplify 1 into 1
2.876 * [backup-simplify]: Simplify (* 1 1) into 1
2.876 * [backup-simplify]: Simplify (/ 1 1) into 1
2.876 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
2.876 * [taylor]: Taking taylor expansion of 2 in x
2.876 * [backup-simplify]: Simplify 2 into 2
2.876 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.876 * [taylor]: Taking taylor expansion of (* x y) in x
2.877 * [taylor]: Taking taylor expansion of x in x
2.877 * [backup-simplify]: Simplify 0 into 0
2.877 * [backup-simplify]: Simplify 1 into 1
2.877 * [taylor]: Taking taylor expansion of y in x
2.877 * [backup-simplify]: Simplify y into y
2.877 * [backup-simplify]: Simplify (* 0 y) into 0
2.877 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.877 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.877 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.877 * [taylor]: Taking taylor expansion of y in x
2.877 * [backup-simplify]: Simplify y into y
2.877 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.877 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.877 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.877 * [taylor]: Taking taylor expansion of x in x
2.877 * [backup-simplify]: Simplify 0 into 0
2.877 * [backup-simplify]: Simplify 1 into 1
2.877 * [backup-simplify]: Simplify (* 1 1) into 1
2.878 * [backup-simplify]: Simplify (/ 1 1) into 1
2.878 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
2.878 * [taylor]: Taking taylor expansion of 2 in x
2.878 * [backup-simplify]: Simplify 2 into 2
2.878 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.878 * [taylor]: Taking taylor expansion of (* x y) in x
2.878 * [taylor]: Taking taylor expansion of x in x
2.878 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify 1 into 1
2.878 * [taylor]: Taking taylor expansion of y in x
2.878 * [backup-simplify]: Simplify y into y
2.878 * [backup-simplify]: Simplify (* 0 y) into 0
2.878 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.878 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.878 * [backup-simplify]: Simplify (+ 1 0) into 1
2.879 * [backup-simplify]: Simplify (+ 0 1) into 1
2.879 * [taylor]: Taking taylor expansion of 1 in y
2.879 * [backup-simplify]: Simplify 1 into 1
2.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.880 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
2.880 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
2.880 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y))
2.880 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
2.880 * [taylor]: Taking taylor expansion of 2 in y
2.880 * [backup-simplify]: Simplify 2 into 2
2.880 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.880 * [taylor]: Taking taylor expansion of y in y
2.880 * [backup-simplify]: Simplify 0 into 0
2.880 * [backup-simplify]: Simplify 1 into 1
2.880 * [backup-simplify]: Simplify (/ 1 1) into 1
2.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.882 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
2.882 * [backup-simplify]: Simplify (+ 0 0) into 0
2.883 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.883 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.883 * [taylor]: Taking taylor expansion of y in y
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 1 into 1
2.883 * [backup-simplify]: Simplify (* 1 1) into 1
2.883 * [backup-simplify]: Simplify (/ 1 1) into 1
2.883 * [backup-simplify]: Simplify 1 into 1
2.883 * [backup-simplify]: Simplify (* 2 1) into 2
2.884 * [backup-simplify]: Simplify 2 into 2
2.884 * [backup-simplify]: Simplify 1 into 1
2.884 * [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 y 2) (+ (pow x 2) (* 2 (* x y))))
2.884 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))))
2.884 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0
2.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y
2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.884 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.884 * [taylor]: Taking taylor expansion of y in y
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 1 into 1
2.885 * [backup-simplify]: Simplify (* 1 1) into 1
2.885 * [backup-simplify]: Simplify (/ 1 1) into 1
2.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y
2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.885 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.885 * [taylor]: Taking taylor expansion of x in y
2.885 * [backup-simplify]: Simplify x into x
2.885 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.885 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.885 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
2.885 * [taylor]: Taking taylor expansion of 2 in y
2.885 * [backup-simplify]: Simplify 2 into 2
2.885 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.885 * [taylor]: Taking taylor expansion of (* x y) in y
2.885 * [taylor]: Taking taylor expansion of x in y
2.885 * [backup-simplify]: Simplify x into x
2.885 * [taylor]: Taking taylor expansion of y in y
2.885 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify 1 into 1
2.885 * [backup-simplify]: Simplify (* x 0) into 0
2.885 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.886 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.886 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.886 * [taylor]: Taking taylor expansion of y in x
2.886 * [backup-simplify]: Simplify y into y
2.886 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.886 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.886 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.886 * [taylor]: Taking taylor expansion of x in x
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [backup-simplify]: Simplify (* 1 1) into 1
2.886 * [backup-simplify]: Simplify (/ 1 1) into 1
2.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
2.886 * [taylor]: Taking taylor expansion of 2 in x
2.886 * [backup-simplify]: Simplify 2 into 2
2.886 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.886 * [taylor]: Taking taylor expansion of (* x y) in x
2.886 * [taylor]: Taking taylor expansion of x in x
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [taylor]: Taking taylor expansion of y in x
2.887 * [backup-simplify]: Simplify y into y
2.887 * [backup-simplify]: Simplify (* 0 y) into 0
2.887 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.887 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.887 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.887 * [taylor]: Taking taylor expansion of y in x
2.887 * [backup-simplify]: Simplify y into y
2.887 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.887 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.887 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.887 * [taylor]: Taking taylor expansion of x in x
2.887 * [backup-simplify]: Simplify 0 into 0
2.887 * [backup-simplify]: Simplify 1 into 1
2.887 * [backup-simplify]: Simplify (* 1 1) into 1
2.888 * [backup-simplify]: Simplify (/ 1 1) into 1
2.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
2.888 * [taylor]: Taking taylor expansion of 2 in x
2.888 * [backup-simplify]: Simplify 2 into 2
2.888 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.888 * [taylor]: Taking taylor expansion of (* x y) in x
2.888 * [taylor]: Taking taylor expansion of x in x
2.888 * [backup-simplify]: Simplify 0 into 0
2.888 * [backup-simplify]: Simplify 1 into 1
2.888 * [taylor]: Taking taylor expansion of y in x
2.888 * [backup-simplify]: Simplify y into y
2.888 * [backup-simplify]: Simplify (* 0 y) into 0
2.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.888 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.888 * [backup-simplify]: Simplify (+ 1 0) into 1
2.889 * [backup-simplify]: Simplify (+ 0 1) into 1
2.889 * [taylor]: Taking taylor expansion of 1 in y
2.889 * [backup-simplify]: Simplify 1 into 1
2.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.890 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
2.890 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
2.890 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y))
2.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
2.890 * [taylor]: Taking taylor expansion of 2 in y
2.890 * [backup-simplify]: Simplify 2 into 2
2.890 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.890 * [taylor]: Taking taylor expansion of y in y
2.890 * [backup-simplify]: Simplify 0 into 0
2.890 * [backup-simplify]: Simplify 1 into 1
2.890 * [backup-simplify]: Simplify (/ 1 1) into 1
2.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.892 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
2.892 * [backup-simplify]: Simplify (+ 0 0) into 0
2.892 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.892 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.892 * [taylor]: Taking taylor expansion of y in y
2.892 * [backup-simplify]: Simplify 0 into 0
2.892 * [backup-simplify]: Simplify 1 into 1
2.893 * [backup-simplify]: Simplify (* 1 1) into 1
2.893 * [backup-simplify]: Simplify (/ 1 1) into 1
2.893 * [backup-simplify]: Simplify 1 into 1
2.893 * [backup-simplify]: Simplify (* 2 1) into 2
2.893 * [backup-simplify]: Simplify 2 into 2
2.893 * [backup-simplify]: Simplify 1 into 1
2.894 * [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 y 2) (+ (pow x 2) (* 2 (* x y))))
2.894 * * * [progress]: simplifying candidates
2.894 * [simplify]: Simplifying:
  (* y (+ (* 2 x) y))
  (+ (log y) (log (+ (* 2 x) y)))
  (log (* y (+ (* 2 x) y)))
  (exp (* y (+ (* 2 x) y)))
  (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y)))
  (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y))))
  (cbrt (* y (+ (* 2 x) y)))
  (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y)))
  (sqrt (* y (+ (* 2 x) y)))
  (sqrt (* y (+ (* 2 x) y)))
  (* (sqrt y) (sqrt (+ (* 2 x) y)))
  (* (sqrt y) (sqrt (+ (* 2 x) y)))
  (* y (* 2 x))
  (* y y)
  (* (* 2 x) y)
  (* y y)
  (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y))))
  (* y (sqrt (+ (* 2 x) y)))
  (* y 1)
  (* (cbrt y) (+ (* 2 x) y))
  (* (sqrt y) (+ (* 2 x) y))
  (* y (+ (* 2 x) y))
  (* y (+ (pow (* 2 x) 3) (pow y 3)))
  (* y (- (* (* 2 x) (* 2 x)) (* y y)))
  (* (exp (* x x)) (exp (* y (+ (* 2 x) y))))
  (log (+ (* x x) (* y (+ (* 2 x) y))))
  (exp (+ (* x x) (* y (+ (* 2 x) y))))
  (* (cbrt (+ (* x x) (* y (+ (* 2 x) y)))) (cbrt (+ (* x x) (* y (+ (* 2 x) y)))))
  (cbrt (+ (* x x) (* y (+ (* 2 x) y))))
  (* (* (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y)))) (+ (* x x) (* y (+ (* 2 x) y))))
  (sqrt (+ (* x x) (* y (+ (* 2 x) y))))
  (sqrt (+ (* x x) (* y (+ (* 2 x) y))))
  (+ (pow (* x x) 3) (pow (* y (+ (* 2 x) y)) 3))
  (+ (* (* x x) (* x x)) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* (* x x) (* y (+ (* 2 x) y)))))
  (- (* (* x x) (* x x)) (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))))
  (- (* x x) (* y (+ (* 2 x) y)))
  (+ (* x x) (* y (* 2 x)))
  (+ (* x x) (* (* 2 x) y))
  (+ (pow y 2) (* 2 (* x y)))
  (+ (pow y 2) (* 2 (* x y)))
  (+ (pow y 2) (* 2 (* x y)))
  (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
2.896 * * [simplify]: iteration 0: 72 enodes
2.912 * * [simplify]: iteration 1: 252 enodes
3.097 * * [simplify]: iteration 2: 1410 enodes
3.471 * * [simplify]: iteration complete: 5000 enodes
3.471 * * [simplify]: Extracting #0: cost 32 inf + 0
3.472 * * [simplify]: Extracting #1: cost 493 inf + 1
3.476 * * [simplify]: Extracting #2: cost 1617 inf + 3652
3.485 * * [simplify]: Extracting #3: cost 2035 inf + 33539
3.529 * * [simplify]: Extracting #4: cost 1138 inf + 195994
3.628 * * [simplify]: Extracting #5: cost 105 inf + 426922
3.704 * * [simplify]: Extracting #6: cost 6 inf + 447208
3.786 * * [simplify]: Extracting #7: cost 0 inf + 448966
3.891 * [simplify]: Simplified to:
  (* y (+ y (* x 2)))
  (log (* y (+ y (* x 2))))
  (log (* y (+ y (* x 2))))
  (exp (* y (+ y (* x 2))))
  (* (* y (+ y (* x 2))) (* (* (+ y (* x 2)) y) (* (+ y (* x 2)) y)))
  (* (cbrt (* y (+ y (* x 2)))) (cbrt (* y (+ y (* x 2)))))
  (cbrt (* y (+ y (* x 2))))
  (* (* y (+ y (* x 2))) (* (* (+ y (* x 2)) y) (* (+ y (* x 2)) y)))
  (sqrt (* y (+ y (* x 2))))
  (sqrt (* y (+ y (* x 2))))
  (* (sqrt y) (sqrt (+ y (* x 2))))
  (* (sqrt y) (sqrt (+ y (* x 2))))
  (* (* y 2) x)
  (* y y)
  (* (* y x) 2)
  (* y y)
  (* (* (cbrt (+ y (* x 2))) (cbrt (+ y (* x 2)))) y)
  (* y (sqrt (+ y (* x 2))))
  y
  (* (cbrt y) (+ (* x 2) y))
  (* (sqrt y) (+ (* x 2) y))
  (* y (+ y (* x 2)))
  (+ (* (* y (* x 2)) (* (* x 2) (* x 2))) (* (* y y) (* y y)))
  (* (- (* (* x 2) (* x 2)) (* y y)) y)
  (exp (+ (* y (+ y (* x 2))) (* x x)))
  (log (+ (* y (+ y (* x 2))) (* x x)))
  (exp (+ (* y (+ y (* x 2))) (* x x)))
  (* (cbrt (+ (* y (+ y (* x 2))) (* x x))) (cbrt (+ (* y (+ y (* x 2))) (* x x))))
  (cbrt (+ (* y (+ y (* x 2))) (* x x)))
  (* (+ (* y (+ y (* x 2))) (* x x)) (* (+ (* y (+ y (* x 2))) (* x x)) (+ (* y (+ y (* x 2))) (* x x))))
  (sqrt (+ (* y (+ y (* x 2))) (* x x)))
  (sqrt (+ (* y (+ y (* x 2))) (* x x)))
  (+ (* (* y (+ y (* x 2))) (* (* (+ y (* x 2)) y) (* (+ y (* x 2)) y))) (* (* (* x x) (* x x)) (* x x)))
  (+ (* (* x x) (* x x)) (* (* y (+ y (* x 2))) (- (* y (+ y (* x 2))) (* x x))))
  (* (+ (* x x) (* y (+ y (* x 2)))) (- (* x x) (* y (+ y (* x 2)))))
  (- (* x x) (* y (+ y (* x 2))))
  (* x (+ x (* y 2)))
  (+ (* (* y x) 2) (* x x))
  (* y (+ y (* x 2)))
  (* y (+ y (* x 2)))
  (* y (+ y (* x 2)))
  (+ (* x x) (* y (+ y (* x 2))))
  (+ (* x x) (* y (+ y (* x 2))))
  (+ (* x x) (* y (+ y (* x 2))))
3.893 * * * [progress]: adding candidates to table
4.056 * * [progress]: iteration 4 / 4
4.056 * * * [progress]: picking best candidate
4.063 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* x (+ x (* y 2))) (* y y)))>
4.063 * * * [progress]: localizing error
4.073 * * * [progress]: generating rewritten candidates
4.073 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
4.085 * * * [progress]: generating series expansions
4.085 * * * * [progress]: [ 1 / 1 ] generating series at (2)
4.086 * [backup-simplify]: Simplify (+ (* x (+ x (* y 2))) (* y y)) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
4.086 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0
4.086 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y
4.086 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.086 * [taylor]: Taking taylor expansion of y in y
4.086 * [backup-simplify]: Simplify 0 into 0
4.086 * [backup-simplify]: Simplify 1 into 1
4.086 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y
4.086 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.086 * [taylor]: Taking taylor expansion of x in y
4.086 * [backup-simplify]: Simplify x into x
4.086 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y
4.086 * [taylor]: Taking taylor expansion of 2 in y
4.086 * [backup-simplify]: Simplify 2 into 2
4.086 * [taylor]: Taking taylor expansion of (* x y) in y
4.086 * [taylor]: Taking taylor expansion of x in y
4.086 * [backup-simplify]: Simplify x into x
4.086 * [taylor]: Taking taylor expansion of y in y
4.086 * [backup-simplify]: Simplify 0 into 0
4.086 * [backup-simplify]: Simplify 1 into 1
4.086 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x
4.086 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.086 * [taylor]: Taking taylor expansion of y in x
4.086 * [backup-simplify]: Simplify y into y
4.086 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x
4.086 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.086 * [taylor]: Taking taylor expansion of x in x
4.086 * [backup-simplify]: Simplify 0 into 0
4.086 * [backup-simplify]: Simplify 1 into 1
4.086 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
4.086 * [taylor]: Taking taylor expansion of 2 in x
4.086 * [backup-simplify]: Simplify 2 into 2
4.086 * [taylor]: Taking taylor expansion of (* x y) in x
4.086 * [taylor]: Taking taylor expansion of x in x
4.086 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 1 into 1
4.087 * [taylor]: Taking taylor expansion of y in x
4.087 * [backup-simplify]: Simplify y into y
4.087 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x
4.087 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.087 * [taylor]: Taking taylor expansion of y in x
4.087 * [backup-simplify]: Simplify y into y
4.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x
4.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.087 * [taylor]: Taking taylor expansion of x in x
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 1 into 1
4.087 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
4.087 * [taylor]: Taking taylor expansion of 2 in x
4.087 * [backup-simplify]: Simplify 2 into 2
4.087 * [taylor]: Taking taylor expansion of (* x y) in x
4.087 * [taylor]: Taking taylor expansion of x in x
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 1 into 1
4.087 * [taylor]: Taking taylor expansion of y in x
4.087 * [backup-simplify]: Simplify y into y
4.087 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.087 * [backup-simplify]: Simplify (* 0 y) into 0
4.088 * [backup-simplify]: Simplify (* 2 0) into 0
4.088 * [backup-simplify]: Simplify (+ 0 0) into 0
4.088 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.088 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.088 * [taylor]: Taking taylor expansion of y in y
4.088 * [backup-simplify]: Simplify 0 into 0
4.088 * [backup-simplify]: Simplify 1 into 1
4.088 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.089 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y)
4.089 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
4.089 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
4.089 * [taylor]: Taking taylor expansion of (* 2 y) in y
4.089 * [taylor]: Taking taylor expansion of 2 in y
4.089 * [backup-simplify]: Simplify 2 into 2
4.089 * [taylor]: Taking taylor expansion of y in y
4.089 * [backup-simplify]: Simplify 0 into 0
4.089 * [backup-simplify]: Simplify 1 into 1
4.089 * [backup-simplify]: Simplify (* 2 0) into 0
4.089 * [backup-simplify]: Simplify 0 into 0
4.089 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.090 * [backup-simplify]: Simplify (* 1 1) into 1
4.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0
4.091 * [backup-simplify]: Simplify (+ 1 0) into 1
4.091 * [backup-simplify]: Simplify (+ 0 1) into 1
4.091 * [taylor]: Taking taylor expansion of 1 in y
4.091 * [backup-simplify]: Simplify 1 into 1
4.091 * [backup-simplify]: Simplify 1 into 1
4.092 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
4.092 * [backup-simplify]: Simplify 2 into 2
4.092 * [backup-simplify]: Simplify (* 1 1) into 1
4.092 * [backup-simplify]: Simplify 1 into 1
4.092 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
4.092 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))))
4.092 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0
4.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y
4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.093 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.093 * [taylor]: Taking taylor expansion of y in y
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.093 * [backup-simplify]: Simplify (* 1 1) into 1
4.093 * [backup-simplify]: Simplify (/ 1 1) into 1
4.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y
4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.093 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.093 * [taylor]: Taking taylor expansion of x in y
4.093 * [backup-simplify]: Simplify x into x
4.093 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.093 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.093 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
4.093 * [taylor]: Taking taylor expansion of 2 in y
4.093 * [backup-simplify]: Simplify 2 into 2
4.093 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
4.093 * [taylor]: Taking taylor expansion of (* x y) in y
4.093 * [taylor]: Taking taylor expansion of x in y
4.093 * [backup-simplify]: Simplify x into x
4.093 * [taylor]: Taking taylor expansion of y in y
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 1 into 1
4.094 * [backup-simplify]: Simplify (* x 0) into 0
4.094 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
4.094 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
4.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.094 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.094 * [taylor]: Taking taylor expansion of y in x
4.094 * [backup-simplify]: Simplify y into y
4.094 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.094 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
4.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.094 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.094 * [taylor]: Taking taylor expansion of x in x
4.094 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify 1 into 1
4.095 * [backup-simplify]: Simplify (* 1 1) into 1
4.095 * [backup-simplify]: Simplify (/ 1 1) into 1
4.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
4.095 * [taylor]: Taking taylor expansion of 2 in x
4.095 * [backup-simplify]: Simplify 2 into 2
4.095 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.095 * [taylor]: Taking taylor expansion of (* x y) in x
4.095 * [taylor]: Taking taylor expansion of x in x
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify 1 into 1
4.095 * [taylor]: Taking taylor expansion of y in x
4.095 * [backup-simplify]: Simplify y into y
4.095 * [backup-simplify]: Simplify (* 0 y) into 0
4.096 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.096 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.096 * [taylor]: Taking taylor expansion of y in x
4.096 * [backup-simplify]: Simplify y into y
4.096 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.096 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.096 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.096 * [taylor]: Taking taylor expansion of x in x
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 1 into 1
4.097 * [backup-simplify]: Simplify (* 1 1) into 1
4.097 * [backup-simplify]: Simplify (/ 1 1) into 1
4.097 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
4.097 * [taylor]: Taking taylor expansion of 2 in x
4.097 * [backup-simplify]: Simplify 2 into 2
4.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.098 * [taylor]: Taking taylor expansion of (* x y) in x
4.098 * [taylor]: Taking taylor expansion of x in x
4.098 * [backup-simplify]: Simplify 0 into 0
4.098 * [backup-simplify]: Simplify 1 into 1
4.098 * [taylor]: Taking taylor expansion of y in x
4.098 * [backup-simplify]: Simplify y into y
4.098 * [backup-simplify]: Simplify (* 0 y) into 0
4.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.098 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.099 * [backup-simplify]: Simplify (+ 1 0) into 1
4.099 * [backup-simplify]: Simplify (+ 0 1) into 1
4.099 * [taylor]: Taking taylor expansion of 1 in y
4.099 * [backup-simplify]: Simplify 1 into 1
4.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.100 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
4.100 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
4.101 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y))
4.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
4.101 * [taylor]: Taking taylor expansion of 2 in y
4.101 * [backup-simplify]: Simplify 2 into 2
4.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.101 * [taylor]: Taking taylor expansion of y in y
4.101 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify 1 into 1
4.101 * [backup-simplify]: Simplify (/ 1 1) into 1
4.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.104 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
4.104 * [backup-simplify]: Simplify (+ 0 0) into 0
4.104 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.104 * [taylor]: Taking taylor expansion of y in y
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify 1 into 1
4.105 * [backup-simplify]: Simplify (* 1 1) into 1
4.105 * [backup-simplify]: Simplify (/ 1 1) into 1
4.105 * [backup-simplify]: Simplify 1 into 1
4.106 * [backup-simplify]: Simplify (* 2 1) into 2
4.106 * [backup-simplify]: Simplify 2 into 2
4.106 * [backup-simplify]: Simplify 1 into 1
4.106 * [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 y 2) (+ (pow x 2) (* 2 (* x y))))
4.107 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))))
4.107 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0
4.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y
4.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.107 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.107 * [taylor]: Taking taylor expansion of y in y
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 1 into 1
4.107 * [backup-simplify]: Simplify (* 1 1) into 1
4.111 * [backup-simplify]: Simplify (/ 1 1) into 1
4.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y
4.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.112 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.112 * [taylor]: Taking taylor expansion of x in y
4.112 * [backup-simplify]: Simplify x into x
4.112 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.112 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.112 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
4.112 * [taylor]: Taking taylor expansion of 2 in y
4.112 * [backup-simplify]: Simplify 2 into 2
4.112 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
4.112 * [taylor]: Taking taylor expansion of (* x y) in y
4.112 * [taylor]: Taking taylor expansion of x in y
4.112 * [backup-simplify]: Simplify x into x
4.112 * [taylor]: Taking taylor expansion of y in y
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify 1 into 1
4.112 * [backup-simplify]: Simplify (* x 0) into 0
4.113 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
4.113 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.113 * [taylor]: Taking taylor expansion of y in x
4.113 * [backup-simplify]: Simplify y into y
4.113 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.113 * [taylor]: Taking taylor expansion of x in x
4.113 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify 1 into 1
4.114 * [backup-simplify]: Simplify (* 1 1) into 1
4.114 * [backup-simplify]: Simplify (/ 1 1) into 1
4.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
4.114 * [taylor]: Taking taylor expansion of 2 in x
4.114 * [backup-simplify]: Simplify 2 into 2
4.114 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.114 * [taylor]: Taking taylor expansion of (* x y) in x
4.114 * [taylor]: Taking taylor expansion of x in x
4.114 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify 1 into 1
4.114 * [taylor]: Taking taylor expansion of y in x
4.114 * [backup-simplify]: Simplify y into y
4.114 * [backup-simplify]: Simplify (* 0 y) into 0
4.114 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.114 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
4.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.115 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.115 * [taylor]: Taking taylor expansion of y in x
4.115 * [backup-simplify]: Simplify y into y
4.115 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
4.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.115 * [taylor]: Taking taylor expansion of x in x
4.115 * [backup-simplify]: Simplify 0 into 0
4.115 * [backup-simplify]: Simplify 1 into 1
4.115 * [backup-simplify]: Simplify (* 1 1) into 1
4.115 * [backup-simplify]: Simplify (/ 1 1) into 1
4.115 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
4.115 * [taylor]: Taking taylor expansion of 2 in x
4.115 * [backup-simplify]: Simplify 2 into 2
4.115 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.115 * [taylor]: Taking taylor expansion of (* x y) in x
4.115 * [taylor]: Taking taylor expansion of x in x
4.115 * [backup-simplify]: Simplify 0 into 0
4.115 * [backup-simplify]: Simplify 1 into 1
4.115 * [taylor]: Taking taylor expansion of y in x
4.115 * [backup-simplify]: Simplify y into y
4.115 * [backup-simplify]: Simplify (* 0 y) into 0
4.116 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.116 * [backup-simplify]: Simplify (+ 1 0) into 1
4.116 * [backup-simplify]: Simplify (+ 0 1) into 1
4.116 * [taylor]: Taking taylor expansion of 1 in y
4.116 * [backup-simplify]: Simplify 1 into 1
4.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.117 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
4.117 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
4.118 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y))
4.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
4.118 * [taylor]: Taking taylor expansion of 2 in y
4.118 * [backup-simplify]: Simplify 2 into 2
4.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.118 * [taylor]: Taking taylor expansion of y in y
4.118 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify 1 into 1
4.118 * [backup-simplify]: Simplify (/ 1 1) into 1
4.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.120 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
4.120 * [backup-simplify]: Simplify (+ 0 0) into 0
4.120 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.120 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.120 * [taylor]: Taking taylor expansion of y in y
4.120 * [backup-simplify]: Simplify 0 into 0
4.120 * [backup-simplify]: Simplify 1 into 1
4.120 * [backup-simplify]: Simplify (* 1 1) into 1
4.121 * [backup-simplify]: Simplify (/ 1 1) into 1
4.121 * [backup-simplify]: Simplify 1 into 1
4.121 * [backup-simplify]: Simplify (* 2 1) into 2
4.121 * [backup-simplify]: Simplify 2 into 2
4.121 * [backup-simplify]: Simplify 1 into 1
4.121 * [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 y 2) (+ (pow x 2) (* 2 (* x y))))
4.122 * * * [progress]: simplifying candidates
4.122 * [simplify]: Simplifying:
  (* (exp (* x (+ x (* y 2)))) (exp (* y y)))
  (log (+ (* x (+ x (* y 2))) (* y y)))
  (exp (+ (* x (+ x (* y 2))) (* y y)))
  (* (cbrt (+ (* x (+ x (* y 2))) (* y y))) (cbrt (+ (* x (+ x (* y 2))) (* y y))))
  (cbrt (+ (* x (+ x (* y 2))) (* y y)))
  (* (* (+ (* x (+ x (* y 2))) (* y y)) (+ (* x (+ x (* y 2))) (* y y))) (+ (* x (+ x (* y 2))) (* y y)))
  (sqrt (+ (* x (+ x (* y 2))) (* y y)))
  (sqrt (+ (* x (+ x (* y 2))) (* y y)))
  (+ (pow (* x (+ x (* y 2))) 3) (pow (* y y) 3))
  (+ (* (* x (+ x (* y 2))) (* x (+ x (* y 2)))) (- (* (* y y) (* y y)) (* (* x (+ x (* y 2))) (* y y))))
  (- (* (* x (+ x (* y 2))) (* x (+ x (* y 2)))) (* (* y y) (* y y)))
  (- (* x (+ x (* y 2))) (* y y))
  (+ (* x (* y 2)) (* y y))
  (+ (* (* y 2) x) (* y y))
  (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
4.122 * * [simplify]: iteration 0: 39 enodes
4.135 * * [simplify]: iteration 1: 137 enodes
4.228 * * [simplify]: iteration 2: 951 enodes
4.676 * * [simplify]: iteration complete: 5001 enodes
4.676 * * [simplify]: Extracting #0: cost 12 inf + 0
4.676 * * [simplify]: Extracting #1: cost 143 inf + 0
4.680 * * [simplify]: Extracting #2: cost 1360 inf + 793
4.699 * * [simplify]: Extracting #3: cost 2042 inf + 21758
4.743 * * [simplify]: Extracting #4: cost 1247 inf + 170958
4.825 * * [simplify]: Extracting #5: cost 320 inf + 407113
4.937 * * [simplify]: Extracting #6: cost 12 inf + 487337
5.037 * * [simplify]: Extracting #7: cost 0 inf + 491365
5.147 * [simplify]: Simplified to:
  (exp (+ (* x (+ x (* y 2))) (* y y)))
  (log (+ (* y y) (* x (+ x (* y 2)))))
  (exp (+ (* x (+ x (* y 2))) (* y y)))
  (* (cbrt (+ (* y y) (* x (+ x (* y 2))))) (cbrt (+ (* y y) (* x (+ x (* y 2))))))
  (cbrt (+ (* y y) (* x (+ x (* y 2)))))
  (* (* (+ (* y y) (* x (+ x (* y 2)))) (+ (* y y) (* x (+ x (* y 2))))) (+ (* y y) (* x (+ x (* y 2)))))
  (sqrt (+ (* y y) (* x (+ x (* y 2)))))
  (sqrt (+ (* y y) (* x (+ x (* y 2)))))
  (+ (* (* (* y y) (* y y)) (* y y)) (* (+ (* y 2) x) (* x (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))))))
  (+ (* (- (* y y) (* x (+ x (* y 2)))) (* y y)) (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))))
  (* (+ (* x (+ x (* y 2))) (* y y)) (- (* x (+ x (* y 2))) (* y y)))
  (- (* x (+ x (* y 2))) (* y y))
  (* y (+ (* 2 x) y))
  (* y (+ (* 2 x) y))
  (+ (* y y) (* x (+ x (* y 2))))
  (+ (* y y) (* x (+ x (* y 2))))
  (+ (* y y) (* x (+ x (* y 2))))
5.148 * * * [progress]: adding candidates to table
5.216 * [progress]: [Phase 3 of 3] Extracting.
5.216 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (/ (* (* (+ y x) (- x y)) (+ (* (* y y) y) (* (* x x) x))) (* (- x y) (+ (* x x) (- (* y y) (* x y))))))> #<alt (λ (x y) (+ (* x x) (* y (+ (* 2 x) y))))> #<alt (λ (x y) (+ (* x (+ x (* y 2))) (* y y)))>)
5.217 * * * [regime-changes]: Trying 2 branch expressions: (y x)
5.217 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (/ (* (* (+ y x) (- x y)) (+ (* (* y y) y) (* (* x x) x))) (* (- x y) (+ (* x x) (- (* y y) (* x y))))))> #<alt (λ (x y) (+ (* x x) (* y (+ (* 2 x) y))))> #<alt (λ (x y) (+ (* x (+ x (* y 2))) (* y y)))>)
5.257 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (/ (* (* (+ y x) (- x y)) (+ (* (* y y) y) (* (* x x) x))) (* (- x y) (+ (* x x) (- (* y y) (* x y))))))> #<alt (λ (x y) (+ (* x x) (* y (+ (* 2 x) y))))> #<alt (λ (x y) (+ (* x (+ x (* y 2))) (* y y)))>)
5.311 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
5.311 * [simplify]: Simplifying:
  (+ (* x (+ x (* y 2))) (* y y))
5.312 * * [simplify]: iteration 0: 8 enodes
5.312 * * [simplify]: iteration 1: 12 enodes
5.313 * * [simplify]: iteration complete: 12 enodes
5.313 * * [simplify]: Extracting #0: cost 1 inf + 0
5.313 * * [simplify]: Extracting #1: cost 3 inf + 0
5.313 * * [simplify]: Extracting #2: cost 6 inf + 0
5.313 * * [simplify]: Extracting #3: cost 4 inf + 43
5.313 * * [simplify]: Extracting #4: cost 5 inf + 43
5.313 * * [simplify]: Extracting #5: cost 0 inf + 495
5.314 * [simplify]: Simplified to:
  (+ (* (+ (* 2 y) x) x) (* y y))
6.402 * [regime-testing]: Baseline error score: 0.01353268252449601
6.411 * [regime-testing]: Oracle error score: 0.004113875558895926
6.428 * [regime-testing]: End program error score: 0.01353268252449601
6.509 * [regime-testing]: Target error score: 0.014853579346320419