41.922 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.026 * * * [progress]: [2/2] Setting up program.
0.031 * [progress]: [Phase 2 of 3] Improving.
0.032 * [simplify]: Simplifying:
  (* (+ x y) (+ x y))
0.032 * * [simplify]: iteration 0: 4 enodes
0.032 * * [simplify]: iteration 1: 11 enodes
0.034 * * [simplify]: iteration 2: 27 enodes
0.039 * * [simplify]: iteration 3: 65 enodes
0.050 * * [simplify]: iteration 4: 147 enodes
0.086 * * [simplify]: iteration 5: 243 enodes
0.118 * * [simplify]: iteration 6: 273 enodes
0.148 * * [simplify]: iteration 7: 290 enodes
0.183 * * [simplify]: iteration 8: 292 enodes
0.221 * * [simplify]: iteration complete: 292 enodes
0.221 * * [simplify]: Extracting #0: cost 1 inf + 0
0.221 * * [simplify]: Extracting #1: cost 19 inf + 0
0.221 * * [simplify]: Extracting #2: cost 15 inf + 44
0.221 * * [simplify]: Extracting #3: cost 0 inf + 1125
0.222 * [simplify]: Simplified to:
  (* (+ y x) (+ y x))
0.223 * * [progress]: iteration 1 / 4
0.223 * * * [progress]: picking best candidate
0.226 * * * * [pick]: Picked  #<alt (λ (x y) (* (+ x y) (+ x y)))>
0.226 * * * [progress]: localizing error
0.232 * * * [progress]: generating rewritten candidates
0.232 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.269 * * * [progress]: generating series expansions
0.269 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.269 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2)
0.269 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0
0.269 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y
0.269 * [taylor]: Taking taylor expansion of (+ x y) in y
0.270 * [taylor]: Taking taylor expansion of x in y
0.270 * [backup-simplify]: Simplify x into x
0.270 * [taylor]: Taking taylor expansion of y in y
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (+ x 0) into x
0.270 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x
0.270 * [taylor]: Taking taylor expansion of (+ x y) in x
0.270 * [taylor]: Taking taylor expansion of x in x
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [taylor]: Taking taylor expansion of y in x
0.270 * [backup-simplify]: Simplify y into y
0.270 * [backup-simplify]: Simplify (+ 0 y) into y
0.270 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x
0.270 * [taylor]: Taking taylor expansion of (+ x y) in x
0.270 * [taylor]: Taking taylor expansion of x in x
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [taylor]: Taking taylor expansion of y in x
0.270 * [backup-simplify]: Simplify y into y
0.270 * [backup-simplify]: Simplify (+ 0 y) into y
0.270 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.270 * [taylor]: Taking taylor expansion of y in y
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (+ 1 0) into 1
0.271 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y)
0.271 * [taylor]: Taking taylor expansion of (* 2 y) in y
0.271 * [taylor]: Taking taylor expansion of 2 in y
0.271 * [backup-simplify]: Simplify 2 into 2
0.271 * [taylor]: Taking taylor expansion of y in y
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (* 2 0) into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1
0.272 * [taylor]: Taking taylor expansion of 1 in y
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
0.272 * [backup-simplify]: Simplify 2 into 2
0.273 * [backup-simplify]: Simplify (* 1 1) into 1
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [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))))
0.273 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 x) (/ 1 y)) 2)
0.273 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0
0.273 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.273 * [taylor]: Taking taylor expansion of x in y
0.273 * [backup-simplify]: Simplify x into x
0.273 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.273 * [taylor]: Taking taylor expansion of y in y
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.274 * [backup-simplify]: Simplify (/ 1 1) into 1
0.274 * [backup-simplify]: Simplify (+ 0 1) into 1
0.274 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.274 * [taylor]: Taking taylor expansion of x in x
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [backup-simplify]: Simplify (/ 1 1) into 1
0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.274 * [taylor]: Taking taylor expansion of y in x
0.274 * [backup-simplify]: Simplify y into y
0.274 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.275 * [backup-simplify]: Simplify (+ 1 0) into 1
0.275 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.275 * [taylor]: Taking taylor expansion of x in x
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (/ 1 1) into 1
0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.275 * [taylor]: Taking taylor expansion of y in x
0.275 * [backup-simplify]: Simplify y into y
0.275 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.275 * [backup-simplify]: Simplify (+ 1 0) into 1
0.276 * [backup-simplify]: Simplify (* 1 1) into 1
0.276 * [taylor]: Taking taylor expansion of 1 in y
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.276 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y))
0.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.276 * [taylor]: Taking taylor expansion of 2 in y
0.277 * [backup-simplify]: Simplify 2 into 2
0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.277 * [taylor]: Taking taylor expansion of y in y
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (/ 1 1) into 1
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2))
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.279 * [taylor]: Taking taylor expansion of y in y
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 2 1) into 2
0.279 * [backup-simplify]: Simplify 2 into 2
0.279 * [backup-simplify]: Simplify 1 into 1
0.280 * [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))))
0.280 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 x) (/ 1 y)) 2)
0.280 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0
0.280 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.280 * [taylor]: Taking taylor expansion of x in y
0.280 * [backup-simplify]: Simplify x into x
0.280 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.280 * [taylor]: Taking taylor expansion of y in y
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [backup-simplify]: Simplify (+ 0 1) into 1
0.281 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.281 * [taylor]: Taking taylor expansion of x in x
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.281 * [taylor]: Taking taylor expansion of y in x
0.281 * [backup-simplify]: Simplify y into y
0.281 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.282 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.282 * [taylor]: Taking taylor expansion of x in x
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.282 * [taylor]: Taking taylor expansion of y in x
0.282 * [backup-simplify]: Simplify y into y
0.282 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.283 * [backup-simplify]: Simplify (* 1 1) into 1
0.283 * [taylor]: Taking taylor expansion of 1 in y
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.283 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y))
0.283 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
0.284 * [taylor]: Taking taylor expansion of 2 in y
0.284 * [backup-simplify]: Simplify 2 into 2
0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.284 * [taylor]: Taking taylor expansion of y in y
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (/ 1 1) into 1
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2))
0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.286 * [taylor]: Taking taylor expansion of y in y
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (* 1 1) into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (* 2 1) into 2
0.286 * [backup-simplify]: Simplify 2 into 2
0.286 * [backup-simplify]: Simplify 1 into 1
0.287 * [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))))
0.287 * * * [progress]: simplifying candidates
0.288 * [simplify]: Simplifying:
  (expm1 (* (+ x y) (+ x y)))
  (log1p (* (+ x y) (+ x y)))
  (+ 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))))
0.288 * * [simplify]: iteration 0: 64 enodes
0.311 * * [simplify]: iteration 1: 232 enodes
0.498 * * [simplify]: iteration 2: 1738 enodes
1.576 * * [simplify]: iteration complete: 5001 enodes
1.576 * * [simplify]: Extracting #0: cost 28 inf + 0
1.579 * * [simplify]: Extracting #1: cost 764 inf + 2
1.588 * * [simplify]: Extracting #2: cost 1614 inf + 3067
1.613 * * [simplify]: Extracting #3: cost 1348 inf + 101020
1.663 * * [simplify]: Extracting #4: cost 95 inf + 286763
1.739 * * [simplify]: Extracting #5: cost 1 inf + 303655
1.817 * * [simplify]: Extracting #6: cost 0 inf + 303908
1.880 * [simplify]: Simplified to:
  (expm1 (* (+ x y) (+ x y)))
  (log1p (* (+ x y) (+ x y)))
  2
  (* (+ x y) (+ x y))
  2
  (+ (log (+ x y)) (log (+ x y)))
  (+ (log (+ x y)) (log (+ 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))))
  (fabs (+ x y))
  (fabs (+ x y))
  (* (fma x (* x x) (* (* y y) y)) (fma x (* x x) (* (* y y) y)))
  (* (fma y (- y x) (* x x)) (fma y (- y x) (* x x)))
  (fma (fma x (* x x) (* (* y y) y)) (* x x) (- (* (fma x (* x x) (* (* y y) y)) (* y y))))
  (* (fma y (- y x) (* x x)) (- x y))
  (fma (fma x (* x x) (* (* y y) y)) (* x x) (- (* (fma x (* x x) (* (* y y) y)) (* y y))))
  (* (fma y (- y x) (* x x)) (- x y))
  (* (* (+ x y) (- x y)) (* (+ x y) (- x y)))
  (* (- x y) (- x y))
  (* (cbrt (+ x y)) (+ x y))
  (* (cbrt (+ x y)) (cbrt (+ x y)))
  (+ x y)
  (+ x y)
  1
  (* (+ x y) (+ x y))
  1
  (* (+ x y) (+ x y))
  1
  (* (+ x y) (+ x y))
  1
  (* (+ x y) (+ x y))
  (+ x y)
  (+ x y)
  2
  (* x (+ x y))
  (* y (+ x y))
  (* x (+ x y))
  (* y (+ x y))
  (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y))))
  (* (sqrt (+ x y)) (+ x y))
  (+ x y)
  (+ x y)
  (* (cbrt (+ x y)) (+ x y))
  (* (sqrt (+ x y)) (+ x y))
  (* (+ x y) (+ x y))
  (* (+ x y) (+ x y))
  (* (+ x y) (fma x (* x x) (* (* y y) y)))
  (* (* (- x y) (+ x y)) (+ x y))
  (* (+ x y) (fma x (* x x) (* (* y y) y)))
  (* (* (- x y) (+ x y)) (+ x y))
  (fma 2 (* x y) (fma x x (* y y)))
  (fma 2 (* x y) (fma x x (* y y)))
  (fma 2 (* x y) (fma x x (* y y)))
1.882 * * * [progress]: adding candidates to table
1.994 * * [progress]: iteration 2 / 4
1.994 * * * [progress]: picking best candidate
2.004 * * * * [pick]: Picked  #<alt (λ (x y) (fma 2 (* x y) (fma x x (* y y))))>
2.005 * * * [progress]: localizing error
2.023 * * * [progress]: generating rewritten candidates
2.023 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3)
2.024 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
2.024 * * * [progress]: generating series expansions
2.024 * * * * [progress]: [ 1 / 2 ] generating series at (2 3)
2.025 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2))
2.025 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0
2.025 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.025 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.025 * [taylor]: Taking taylor expansion of (* x x) in y
2.025 * [taylor]: Taking taylor expansion of x in y
2.025 * [backup-simplify]: Simplify x into x
2.025 * [taylor]: Taking taylor expansion of x in y
2.025 * [backup-simplify]: Simplify x into x
2.025 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.025 * [taylor]: Taking taylor expansion of y in y
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 1 into 1
2.025 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.025 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.025 * [taylor]: Taking taylor expansion of (* x x) in x
2.025 * [taylor]: Taking taylor expansion of x in x
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 1 into 1
2.025 * [taylor]: Taking taylor expansion of x in x
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 1 into 1
2.025 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.025 * [taylor]: Taking taylor expansion of y in x
2.025 * [backup-simplify]: Simplify y into y
2.025 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.025 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.025 * [taylor]: Taking taylor expansion of (* x x) in x
2.025 * [taylor]: Taking taylor expansion of x in x
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 1 into 1
2.025 * [taylor]: Taking taylor expansion of x in x
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 1 into 1
2.025 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.025 * [taylor]: Taking taylor expansion of y in x
2.025 * [backup-simplify]: Simplify y into y
2.026 * [backup-simplify]: Simplify (* 0 0) into 0
2.026 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.026 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.026 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.026 * [taylor]: Taking taylor expansion of y in y
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.027 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.027 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.027 * [backup-simplify]: Simplify (+ 0 0) into 0
2.027 * [taylor]: Taking taylor expansion of 0 in y
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.028 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.029 * [backup-simplify]: Simplify (+ 1 0) into 1
2.029 * [taylor]: Taking taylor expansion of 1 in y
2.029 * [backup-simplify]: Simplify 1 into 1
2.029 * [backup-simplify]: Simplify 1 into 1
2.029 * [backup-simplify]: Simplify 0 into 0
2.029 * [backup-simplify]: Simplify (* 1 1) into 1
2.029 * [backup-simplify]: Simplify 1 into 1
2.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.031 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.031 * [backup-simplify]: Simplify (+ 0 0) into 0
2.031 * [taylor]: Taking taylor expansion of 0 in y
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.031 * [backup-simplify]: Simplify 0 into 0
2.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.033 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.033 * [backup-simplify]: Simplify (+ 0 0) into 0
2.033 * [taylor]: Taking taylor expansion of 0 in y
2.033 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
2.034 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))
2.034 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0
2.034 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.034 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.034 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.034 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.034 * [taylor]: Taking taylor expansion of x in y
2.034 * [backup-simplify]: Simplify x into x
2.034 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.034 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.034 * [taylor]: Taking taylor expansion of x in y
2.034 * [backup-simplify]: Simplify x into x
2.034 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.034 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.034 * [taylor]: Taking taylor expansion of y in y
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 1 into 1
2.035 * [backup-simplify]: Simplify (* 1 1) into 1
2.035 * [backup-simplify]: Simplify (/ 1 1) into 1
2.035 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.035 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.035 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.035 * [taylor]: Taking taylor expansion of x in x
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 1 into 1
2.036 * [backup-simplify]: Simplify (/ 1 1) into 1
2.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.036 * [taylor]: Taking taylor expansion of x in x
2.036 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify 1 into 1
2.036 * [backup-simplify]: Simplify (/ 1 1) into 1
2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.036 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.036 * [taylor]: Taking taylor expansion of y in x
2.036 * [backup-simplify]: Simplify y into y
2.036 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.036 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.036 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.037 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.037 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.037 * [taylor]: Taking taylor expansion of x in x
2.037 * [backup-simplify]: Simplify 0 into 0
2.037 * [backup-simplify]: Simplify 1 into 1
2.037 * [backup-simplify]: Simplify (/ 1 1) into 1
2.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.037 * [taylor]: Taking taylor expansion of x in x
2.037 * [backup-simplify]: Simplify 0 into 0
2.037 * [backup-simplify]: Simplify 1 into 1
2.037 * [backup-simplify]: Simplify (/ 1 1) into 1
2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.037 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.037 * [taylor]: Taking taylor expansion of y in x
2.037 * [backup-simplify]: Simplify y into y
2.037 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.038 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.038 * [backup-simplify]: Simplify (* 1 1) into 1
2.038 * [backup-simplify]: Simplify (+ 1 0) into 1
2.038 * [taylor]: Taking taylor expansion of 1 in y
2.038 * [backup-simplify]: Simplify 1 into 1
2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.040 * [backup-simplify]: Simplify (+ 0 0) into 0
2.040 * [taylor]: Taking taylor expansion of 0 in y
2.040 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.042 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.042 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.042 * [taylor]: Taking taylor expansion of y in y
2.042 * [backup-simplify]: Simplify 0 into 0
2.042 * [backup-simplify]: Simplify 1 into 1
2.043 * [backup-simplify]: Simplify (* 1 1) into 1
2.043 * [backup-simplify]: Simplify (/ 1 1) into 1
2.043 * [backup-simplify]: Simplify 1 into 1
2.043 * [backup-simplify]: Simplify 1 into 1
2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.046 * [backup-simplify]: Simplify (+ 0 0) into 0
2.046 * [taylor]: Taking taylor expansion of 0 in y
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.049 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.050 * [backup-simplify]: Simplify (+ 0 0) into 0
2.050 * [taylor]: Taking taylor expansion of 0 in y
2.050 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
2.053 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))
2.053 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0
2.053 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.053 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.053 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.053 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.053 * [taylor]: Taking taylor expansion of -1 in y
2.053 * [backup-simplify]: Simplify -1 into -1
2.053 * [taylor]: Taking taylor expansion of x in y
2.053 * [backup-simplify]: Simplify x into x
2.053 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.053 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.053 * [taylor]: Taking taylor expansion of -1 in y
2.054 * [backup-simplify]: Simplify -1 into -1
2.054 * [taylor]: Taking taylor expansion of x in y
2.054 * [backup-simplify]: Simplify x into x
2.054 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.054 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.054 * [taylor]: Taking taylor expansion of y in y
2.054 * [backup-simplify]: Simplify 0 into 0
2.054 * [backup-simplify]: Simplify 1 into 1
2.054 * [backup-simplify]: Simplify (* 1 1) into 1
2.055 * [backup-simplify]: Simplify (/ 1 1) into 1
2.055 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.055 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.055 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.055 * [taylor]: Taking taylor expansion of -1 in x
2.055 * [backup-simplify]: Simplify -1 into -1
2.055 * [taylor]: Taking taylor expansion of x in x
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify 1 into 1
2.056 * [backup-simplify]: Simplify (/ -1 1) into -1
2.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.056 * [taylor]: Taking taylor expansion of -1 in x
2.056 * [backup-simplify]: Simplify -1 into -1
2.056 * [taylor]: Taking taylor expansion of x in x
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 1 into 1
2.056 * [backup-simplify]: Simplify (/ -1 1) into -1
2.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.056 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.056 * [taylor]: Taking taylor expansion of y in x
2.056 * [backup-simplify]: Simplify y into y
2.056 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.057 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.057 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.057 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.057 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.057 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.057 * [taylor]: Taking taylor expansion of -1 in x
2.057 * [backup-simplify]: Simplify -1 into -1
2.057 * [taylor]: Taking taylor expansion of x in x
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 1 into 1
2.058 * [backup-simplify]: Simplify (/ -1 1) into -1
2.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.058 * [taylor]: Taking taylor expansion of -1 in x
2.058 * [backup-simplify]: Simplify -1 into -1
2.058 * [taylor]: Taking taylor expansion of x in x
2.058 * [backup-simplify]: Simplify 0 into 0
2.058 * [backup-simplify]: Simplify 1 into 1
2.058 * [backup-simplify]: Simplify (/ -1 1) into -1
2.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.058 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.058 * [taylor]: Taking taylor expansion of y in x
2.058 * [backup-simplify]: Simplify y into y
2.058 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.059 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.059 * [backup-simplify]: Simplify (* -1 -1) into 1
2.060 * [backup-simplify]: Simplify (+ 1 0) into 1
2.060 * [taylor]: Taking taylor expansion of 1 in y
2.060 * [backup-simplify]: Simplify 1 into 1
2.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.062 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.063 * [backup-simplify]: Simplify (+ 0 0) into 0
2.063 * [taylor]: Taking taylor expansion of 0 in y
2.063 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.066 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.066 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.066 * [taylor]: Taking taylor expansion of y in y
2.066 * [backup-simplify]: Simplify 0 into 0
2.066 * [backup-simplify]: Simplify 1 into 1
2.067 * [backup-simplify]: Simplify (* 1 1) into 1
2.067 * [backup-simplify]: Simplify (/ 1 1) into 1
2.067 * [backup-simplify]: Simplify 1 into 1
2.067 * [backup-simplify]: Simplify 1 into 1
2.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.070 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.071 * [backup-simplify]: Simplify (+ 0 0) into 0
2.071 * [taylor]: Taking taylor expansion of 0 in y
2.071 * [backup-simplify]: Simplify 0 into 0
2.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 0 into 0
2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.076 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
2.077 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.078 * [backup-simplify]: Simplify (+ 0 0) into 0
2.078 * [taylor]: Taking taylor expansion of 0 in y
2.078 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
2.080 * * * * [progress]: [ 2 / 2 ] generating series at (2)
2.080 * [backup-simplify]: Simplify (fma 2 (* x y) (fma x x (* y y))) into (fma 2 (* x y) (fma x x (pow y 2)))
2.080 * [approximate]: Taking taylor expansion of (fma 2 (* x y) (fma x x (pow y 2))) in (x y) around 0
2.080 * [taylor]: Taking taylor expansion of (fma 2 (* x y) (fma x x (pow y 2))) in y
2.080 * [taylor]: Rewrote expression to (+ (* 2 (* x y)) (fma x x (pow y 2)))
2.080 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y
2.080 * [taylor]: Taking taylor expansion of 2 in y
2.080 * [backup-simplify]: Simplify 2 into 2
2.080 * [taylor]: Taking taylor expansion of (* x y) in y
2.080 * [taylor]: Taking taylor expansion of x in y
2.080 * [backup-simplify]: Simplify x into x
2.080 * [taylor]: Taking taylor expansion of y in y
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.081 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.081 * [taylor]: Taking taylor expansion of (* x x) in y
2.081 * [taylor]: Taking taylor expansion of x in y
2.081 * [backup-simplify]: Simplify x into x
2.081 * [taylor]: Taking taylor expansion of x in y
2.081 * [backup-simplify]: Simplify x into x
2.081 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.081 * [taylor]: Taking taylor expansion of y in y
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [taylor]: Taking taylor expansion of (fma 2 (* x y) (fma x x (pow y 2))) in x
2.081 * [taylor]: Rewrote expression to (+ (* 2 (* x y)) (fma x x (pow y 2)))
2.081 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
2.081 * [taylor]: Taking taylor expansion of 2 in x
2.081 * [backup-simplify]: Simplify 2 into 2
2.081 * [taylor]: Taking taylor expansion of (* x y) in x
2.081 * [taylor]: Taking taylor expansion of x in x
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [taylor]: Taking taylor expansion of y in x
2.081 * [backup-simplify]: Simplify y into y
2.081 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.081 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.081 * [taylor]: Taking taylor expansion of (* x x) in x
2.081 * [taylor]: Taking taylor expansion of x in x
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [taylor]: Taking taylor expansion of x in x
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.081 * [taylor]: Taking taylor expansion of y in x
2.081 * [backup-simplify]: Simplify y into y
2.081 * [taylor]: Taking taylor expansion of (fma 2 (* x y) (fma x x (pow y 2))) in x
2.081 * [taylor]: Rewrote expression to (+ (* 2 (* x y)) (fma x x (pow y 2)))
2.081 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
2.081 * [taylor]: Taking taylor expansion of 2 in x
2.081 * [backup-simplify]: Simplify 2 into 2
2.081 * [taylor]: Taking taylor expansion of (* x y) in x
2.081 * [taylor]: Taking taylor expansion of x in x
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [taylor]: Taking taylor expansion of y in x
2.081 * [backup-simplify]: Simplify y into y
2.082 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.082 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.082 * [taylor]: Taking taylor expansion of (* x x) in x
2.082 * [taylor]: Taking taylor expansion of x in x
2.082 * [backup-simplify]: Simplify 0 into 0
2.082 * [backup-simplify]: Simplify 1 into 1
2.082 * [taylor]: Taking taylor expansion of x in x
2.082 * [backup-simplify]: Simplify 0 into 0
2.082 * [backup-simplify]: Simplify 1 into 1
2.082 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.082 * [taylor]: Taking taylor expansion of y in x
2.082 * [backup-simplify]: Simplify y into y
2.082 * [backup-simplify]: Simplify (* 0 y) into 0
2.082 * [backup-simplify]: Simplify (* 2 0) into 0
2.083 * [backup-simplify]: Simplify (* 0 0) into 0
2.083 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.083 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.083 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.083 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.083 * [taylor]: Taking taylor expansion of y in y
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify 1 into 1
2.083 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.084 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y)
2.084 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.084 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.085 * [backup-simplify]: Simplify (+ 0 0) into 0
2.085 * [backup-simplify]: Simplify (+ (* 2 y) 0) into (* 2 y)
2.085 * [taylor]: Taking taylor expansion of (* 2 y) in y
2.085 * [taylor]: Taking taylor expansion of 2 in y
2.085 * [backup-simplify]: Simplify 2 into 2
2.085 * [taylor]: Taking taylor expansion of y in y
2.085 * [backup-simplify]: Simplify 0 into 0
2.085 * [backup-simplify]: Simplify 1 into 1
2.085 * [backup-simplify]: Simplify (* 2 0) into 0
2.085 * [backup-simplify]: Simplify 0 into 0
2.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.086 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0
2.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.087 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.088 * [backup-simplify]: Simplify (+ 1 0) into 1
2.088 * [backup-simplify]: Simplify (+ 0 1) into 1
2.088 * [taylor]: Taking taylor expansion of 1 in y
2.088 * [backup-simplify]: Simplify 1 into 1
2.088 * [backup-simplify]: Simplify 1 into 1
2.088 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
2.088 * [backup-simplify]: Simplify 2 into 2
2.089 * [backup-simplify]: Simplify (* 1 1) into 1
2.089 * [backup-simplify]: Simplify 1 into 1
2.089 * [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))))
2.089 * [backup-simplify]: Simplify (fma 2 (* (/ 1 x) (/ 1 y)) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (fma 2 (/ 1 (* x y)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.089 * [approximate]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in (x y) around 0
2.089 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
2.090 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
2.090 * [taylor]: Taking taylor expansion of 2 in y
2.090 * [backup-simplify]: Simplify 2 into 2
2.090 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.090 * [taylor]: Taking taylor expansion of (* x y) in y
2.090 * [taylor]: Taking taylor expansion of x in y
2.090 * [backup-simplify]: Simplify x into x
2.090 * [taylor]: Taking taylor expansion of y in y
2.090 * [backup-simplify]: Simplify 0 into 0
2.090 * [backup-simplify]: Simplify 1 into 1
2.090 * [backup-simplify]: Simplify (* x 0) into 0
2.090 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.090 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.090 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.090 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.090 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.090 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.090 * [taylor]: Taking taylor expansion of x in y
2.090 * [backup-simplify]: Simplify x into x
2.091 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.091 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.091 * [taylor]: Taking taylor expansion of x in y
2.091 * [backup-simplify]: Simplify x into x
2.091 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.091 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.091 * [taylor]: Taking taylor expansion of y in y
2.091 * [backup-simplify]: Simplify 0 into 0
2.091 * [backup-simplify]: Simplify 1 into 1
2.091 * [backup-simplify]: Simplify (* 1 1) into 1
2.091 * [backup-simplify]: Simplify (/ 1 1) into 1
2.091 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
2.092 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
2.092 * [taylor]: Taking taylor expansion of 2 in x
2.092 * [backup-simplify]: Simplify 2 into 2
2.092 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.092 * [taylor]: Taking taylor expansion of (* x y) in x
2.092 * [taylor]: Taking taylor expansion of x in x
2.092 * [backup-simplify]: Simplify 0 into 0
2.092 * [backup-simplify]: Simplify 1 into 1
2.092 * [taylor]: Taking taylor expansion of y in x
2.092 * [backup-simplify]: Simplify y into y
2.092 * [backup-simplify]: Simplify (* 0 y) into 0
2.092 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.092 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.092 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.092 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.092 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.092 * [taylor]: Taking taylor expansion of x in x
2.092 * [backup-simplify]: Simplify 0 into 0
2.092 * [backup-simplify]: Simplify 1 into 1
2.093 * [backup-simplify]: Simplify (/ 1 1) into 1
2.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.093 * [taylor]: Taking taylor expansion of x in x
2.093 * [backup-simplify]: Simplify 0 into 0
2.093 * [backup-simplify]: Simplify 1 into 1
2.093 * [backup-simplify]: Simplify (/ 1 1) into 1
2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.093 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.093 * [taylor]: Taking taylor expansion of y in x
2.093 * [backup-simplify]: Simplify y into y
2.093 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.093 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
2.093 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.093 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
2.094 * [taylor]: Taking taylor expansion of 2 in x
2.094 * [backup-simplify]: Simplify 2 into 2
2.094 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.094 * [taylor]: Taking taylor expansion of (* x y) in x
2.094 * [taylor]: Taking taylor expansion of x in x
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify 1 into 1
2.094 * [taylor]: Taking taylor expansion of y in x
2.094 * [backup-simplify]: Simplify y into y
2.094 * [backup-simplify]: Simplify (* 0 y) into 0
2.094 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.094 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.094 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.094 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.094 * [taylor]: Taking taylor expansion of x in x
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify 1 into 1
2.095 * [backup-simplify]: Simplify (/ 1 1) into 1
2.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.095 * [taylor]: Taking taylor expansion of x in x
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify 1 into 1
2.095 * [backup-simplify]: Simplify (/ 1 1) into 1
2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.095 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.095 * [taylor]: Taking taylor expansion of y in x
2.095 * [backup-simplify]: Simplify y into y
2.095 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.095 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.096 * [backup-simplify]: Simplify (* 1 1) into 1
2.096 * [backup-simplify]: Simplify (+ 1 0) into 1
2.096 * [backup-simplify]: Simplify (+ 0 1) into 1
2.096 * [taylor]: Taking taylor expansion of 1 in y
2.096 * [backup-simplify]: Simplify 1 into 1
2.096 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.098 * [backup-simplify]: Simplify (+ 0 0) into 0
2.098 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y))
2.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
2.098 * [taylor]: Taking taylor expansion of 2 in y
2.098 * [backup-simplify]: Simplify 2 into 2
2.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.098 * [taylor]: Taking taylor expansion of y in y
2.098 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify 1 into 1
2.099 * [backup-simplify]: Simplify (/ 1 1) into 1
2.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.104 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
2.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.106 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.106 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.106 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.106 * [taylor]: Taking taylor expansion of y in y
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 1 into 1
2.107 * [backup-simplify]: Simplify (* 1 1) into 1
2.107 * [backup-simplify]: Simplify (/ 1 1) into 1
2.107 * [backup-simplify]: Simplify 1 into 1
2.108 * [backup-simplify]: Simplify (* 2 1) into 2
2.108 * [backup-simplify]: Simplify 2 into 2
2.108 * [backup-simplify]: Simplify 1 into 1
2.108 * [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))))
2.108 * [backup-simplify]: Simplify (fma 2 (* (/ 1 (- x)) (/ 1 (- y))) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (fma 2 (/ 1 (* x y)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.108 * [approximate]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in (x y) around 0
2.108 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
2.109 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.109 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
2.109 * [taylor]: Taking taylor expansion of 2 in y
2.109 * [backup-simplify]: Simplify 2 into 2
2.109 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.109 * [taylor]: Taking taylor expansion of (* x y) in y
2.109 * [taylor]: Taking taylor expansion of x in y
2.109 * [backup-simplify]: Simplify x into x
2.109 * [taylor]: Taking taylor expansion of y in y
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify 1 into 1
2.109 * [backup-simplify]: Simplify (* x 0) into 0
2.109 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.109 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.109 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.110 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.110 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.110 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.110 * [taylor]: Taking taylor expansion of -1 in y
2.110 * [backup-simplify]: Simplify -1 into -1
2.110 * [taylor]: Taking taylor expansion of x in y
2.110 * [backup-simplify]: Simplify x into x
2.110 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.110 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.110 * [taylor]: Taking taylor expansion of -1 in y
2.110 * [backup-simplify]: Simplify -1 into -1
2.110 * [taylor]: Taking taylor expansion of x in y
2.110 * [backup-simplify]: Simplify x into x
2.110 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.110 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.110 * [taylor]: Taking taylor expansion of y in y
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify 1 into 1
2.110 * [backup-simplify]: Simplify (* 1 1) into 1
2.111 * [backup-simplify]: Simplify (/ 1 1) into 1
2.111 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
2.111 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
2.111 * [taylor]: Taking taylor expansion of 2 in x
2.111 * [backup-simplify]: Simplify 2 into 2
2.111 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.111 * [taylor]: Taking taylor expansion of (* x y) in x
2.111 * [taylor]: Taking taylor expansion of x in x
2.111 * [backup-simplify]: Simplify 0 into 0
2.111 * [backup-simplify]: Simplify 1 into 1
2.111 * [taylor]: Taking taylor expansion of y in x
2.111 * [backup-simplify]: Simplify y into y
2.111 * [backup-simplify]: Simplify (* 0 y) into 0
2.112 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.112 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.112 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.112 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.112 * [taylor]: Taking taylor expansion of -1 in x
2.112 * [backup-simplify]: Simplify -1 into -1
2.112 * [taylor]: Taking taylor expansion of x in x
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 1 into 1
2.112 * [backup-simplify]: Simplify (/ -1 1) into -1
2.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.112 * [taylor]: Taking taylor expansion of -1 in x
2.112 * [backup-simplify]: Simplify -1 into -1
2.112 * [taylor]: Taking taylor expansion of x in x
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 1 into 1
2.113 * [backup-simplify]: Simplify (/ -1 1) into -1
2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.113 * [taylor]: Taking taylor expansion of y in x
2.113 * [backup-simplify]: Simplify y into y
2.113 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.113 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 (* x y)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
2.113 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 (* x y))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.113 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
2.113 * [taylor]: Taking taylor expansion of 2 in x
2.113 * [backup-simplify]: Simplify 2 into 2
2.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.113 * [taylor]: Taking taylor expansion of (* x y) in x
2.113 * [taylor]: Taking taylor expansion of x in x
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 1 into 1
2.113 * [taylor]: Taking taylor expansion of y in x
2.113 * [backup-simplify]: Simplify y into y
2.113 * [backup-simplify]: Simplify (* 0 y) into 0
2.114 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.114 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.114 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.114 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.114 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.114 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.114 * [taylor]: Taking taylor expansion of -1 in x
2.114 * [backup-simplify]: Simplify -1 into -1
2.114 * [taylor]: Taking taylor expansion of x in x
2.114 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify 1 into 1
2.114 * [backup-simplify]: Simplify (/ -1 1) into -1
2.114 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.114 * [taylor]: Taking taylor expansion of -1 in x
2.114 * [backup-simplify]: Simplify -1 into -1
2.114 * [taylor]: Taking taylor expansion of x in x
2.114 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify 1 into 1
2.115 * [backup-simplify]: Simplify (/ -1 1) into -1
2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.115 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.115 * [taylor]: Taking taylor expansion of y in x
2.115 * [backup-simplify]: Simplify y into y
2.115 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.115 * [backup-simplify]: Simplify (* -1 -1) into 1
2.116 * [backup-simplify]: Simplify (+ 1 0) into 1
2.116 * [backup-simplify]: Simplify (+ 0 1) into 1
2.116 * [taylor]: Taking taylor expansion of 1 in y
2.116 * [backup-simplify]: Simplify 1 into 1
2.116 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
2.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.118 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.118 * [backup-simplify]: Simplify (+ 0 0) into 0
2.118 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y))
2.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
2.118 * [taylor]: Taking taylor expansion of 2 in y
2.118 * [backup-simplify]: Simplify 2 into 2
2.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.118 * [taylor]: Taking taylor expansion of y in y
2.118 * [backup-simplify]: Simplify 0 into 0
2.118 * [backup-simplify]: Simplify 1 into 1
2.119 * [backup-simplify]: Simplify (/ 1 1) into 1
2.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.120 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
2.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.122 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.122 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.122 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.122 * [taylor]: Taking taylor expansion of y in y
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 1 into 1
2.123 * [backup-simplify]: Simplify (* 1 1) into 1
2.123 * [backup-simplify]: Simplify (/ 1 1) into 1
2.123 * [backup-simplify]: Simplify 1 into 1
2.123 * [backup-simplify]: Simplify (* 2 1) into 2
2.123 * [backup-simplify]: Simplify 2 into 2
2.123 * [backup-simplify]: Simplify 1 into 1
2.124 * [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))))
2.124 * * * [progress]: simplifying candidates
2.124 * [simplify]: Simplifying:
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (expm1 (fma 2 (* x y) (fma x x (* y y))))
  (log1p (fma 2 (* x y) (fma x x (* y y))))
  (* 2 (* x y))
  (log (fma 2 (* x y) (fma x x (* y y))))
  (exp (fma 2 (* x y) (fma x x (* y y))))
  (* (cbrt (fma 2 (* x y) (fma x x (* y y)))) (cbrt (fma 2 (* x y) (fma x x (* y y)))))
  (cbrt (fma 2 (* x y) (fma x x (* y y))))
  (* (* (fma 2 (* x y) (fma x x (* y y))) (fma 2 (* x y) (fma x x (* y y)))) (fma 2 (* x y) (fma x x (* y y))))
  (sqrt (fma 2 (* x y) (fma x x (* y y))))
  (sqrt (fma 2 (* x y) (fma x x (* y y))))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (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))))
2.125 * * [simplify]: iteration 0: 32 enodes
2.130 * * [simplify]: iteration 1: 49 enodes
2.142 * * [simplify]: iteration 2: 165 enodes
2.217 * * [simplify]: iteration 3: 999 enodes
2.811 * * [simplify]: iteration complete: 5002 enodes
2.811 * * [simplify]: Extracting #0: cost 20 inf + 0
2.812 * * [simplify]: Extracting #1: cost 283 inf + 0
2.818 * * [simplify]: Extracting #2: cost 1791 inf + 1217
2.834 * * [simplify]: Extracting #3: cost 1894 inf + 25702
2.934 * * [simplify]: Extracting #4: cost 448 inf + 393701
3.075 * * [simplify]: Extracting #5: cost 0 inf + 522914
3.182 * * [simplify]: Extracting #6: cost 0 inf + 522724
3.314 * [simplify]: Simplified to:
  (expm1 (fma y y (* x x)))
  (log1p (fma y y (* x x)))
  (* x x)
  (log (fma y y (* x x)))
  (exp (fma y y (* x x)))
  (* (cbrt (fma y y (* x x))) (cbrt (fma y y (* x x))))
  (cbrt (fma y y (* x x)))
  (* (fma y y (* x x)) (* (fma y y (* x x)) (fma y y (* x x))))
  (hypot x y)
  (hypot x y)
  (expm1 (fma y (fma 2 x y) (* x x)))
  (log1p (fma y (fma 2 x y) (* x x)))
  (* x (* y 2))
  (log (fma y (fma 2 x y) (* x x)))
  (exp (fma y (fma 2 x y) (* x x)))
  (* (cbrt (fma y (fma 2 x y) (* x x))) (cbrt (fma y (fma 2 x y) (* x x))))
  (cbrt (fma y (fma 2 x y) (* x x)))
  (* (* (fma y (fma 2 x y) (* x x)) (fma y (fma 2 x y) (* x x))) (fma y (fma 2 x y) (* x x)))
  (sqrt (fma y (fma 2 x y) (* x x)))
  (sqrt (fma y (fma 2 x y) (* x x)))
  (fma y y (* x x))
  (fma y y (* x x))
  (fma y y (* x x))
  (fma y (fma 2 x y) (* x x))
  (fma y (fma 2 x y) (* x x))
  (fma y (fma 2 x y) (* x x))
3.316 * * * [progress]: adding candidates to table
3.451 * * [progress]: iteration 3 / 4
3.451 * * * [progress]: picking best candidate
3.455 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* (+ x y) x) (* (+ x y) y)))>
3.455 * * * [progress]: localizing error
3.465 * * * [progress]: generating rewritten candidates
3.465 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
3.479 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
3.501 * * * [progress]: generating series expansions
3.501 * * * * [progress]: [ 1 / 2 ] generating series at (2)
3.501 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y))))
3.501 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0
3.501 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y
3.501 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.501 * [taylor]: Taking taylor expansion of y in y
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y
3.501 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.501 * [taylor]: Taking taylor expansion of x in y
3.501 * [backup-simplify]: Simplify x into x
3.501 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y
3.501 * [taylor]: Taking taylor expansion of 2 in y
3.501 * [backup-simplify]: Simplify 2 into 2
3.501 * [taylor]: Taking taylor expansion of (* x y) in y
3.501 * [taylor]: Taking taylor expansion of x in y
3.501 * [backup-simplify]: Simplify x into x
3.501 * [taylor]: Taking taylor expansion of y in y
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x
3.501 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.501 * [taylor]: Taking taylor expansion of y in x
3.501 * [backup-simplify]: Simplify y into y
3.501 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x
3.501 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.501 * [taylor]: Taking taylor expansion of x in x
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
3.501 * [taylor]: Taking taylor expansion of 2 in x
3.501 * [backup-simplify]: Simplify 2 into 2
3.501 * [taylor]: Taking taylor expansion of (* x y) in x
3.501 * [taylor]: Taking taylor expansion of x in x
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [taylor]: Taking taylor expansion of y in x
3.501 * [backup-simplify]: Simplify y into y
3.501 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x
3.501 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.501 * [taylor]: Taking taylor expansion of y in x
3.502 * [backup-simplify]: Simplify y into y
3.502 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x
3.502 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.502 * [taylor]: Taking taylor expansion of x in x
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 1 into 1
3.502 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x
3.502 * [taylor]: Taking taylor expansion of 2 in x
3.502 * [backup-simplify]: Simplify 2 into 2
3.502 * [taylor]: Taking taylor expansion of (* x y) in x
3.502 * [taylor]: Taking taylor expansion of x in x
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 1 into 1
3.502 * [taylor]: Taking taylor expansion of y in x
3.502 * [backup-simplify]: Simplify y into y
3.502 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.502 * [backup-simplify]: Simplify (* 0 y) into 0
3.503 * [backup-simplify]: Simplify (* 2 0) into 0
3.503 * [backup-simplify]: Simplify (+ 0 0) into 0
3.503 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.503 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.503 * [taylor]: Taking taylor expansion of y in y
3.503 * [backup-simplify]: Simplify 0 into 0
3.503 * [backup-simplify]: Simplify 1 into 1
3.503 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.504 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.504 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y)
3.504 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
3.504 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y)
3.504 * [taylor]: Taking taylor expansion of (* 2 y) in y
3.504 * [taylor]: Taking taylor expansion of 2 in y
3.504 * [backup-simplify]: Simplify 2 into 2
3.504 * [taylor]: Taking taylor expansion of y in y
3.504 * [backup-simplify]: Simplify 0 into 0
3.504 * [backup-simplify]: Simplify 1 into 1
3.505 * [backup-simplify]: Simplify (* 2 0) into 0
3.505 * [backup-simplify]: Simplify 0 into 0
3.505 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.505 * [backup-simplify]: Simplify (* 1 1) into 1
3.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
3.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0
3.507 * [backup-simplify]: Simplify (+ 1 0) into 1
3.507 * [backup-simplify]: Simplify (+ 0 1) into 1
3.507 * [taylor]: Taking taylor expansion of 1 in y
3.507 * [backup-simplify]: Simplify 1 into 1
3.507 * [backup-simplify]: Simplify 1 into 1
3.508 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
3.508 * [backup-simplify]: Simplify 2 into 2
3.508 * [backup-simplify]: Simplify (* 1 1) into 1
3.508 * [backup-simplify]: Simplify 1 into 1
3.509 * [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))))
3.509 * [backup-simplify]: Simplify (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))))
3.509 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0
3.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y
3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.509 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.509 * [taylor]: Taking taylor expansion of y in y
3.509 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify 1 into 1
3.510 * [backup-simplify]: Simplify (* 1 1) into 1
3.510 * [backup-simplify]: Simplify (/ 1 1) into 1
3.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y
3.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.510 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.510 * [taylor]: Taking taylor expansion of x in y
3.510 * [backup-simplify]: Simplify x into x
3.510 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.510 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.510 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
3.510 * [taylor]: Taking taylor expansion of 2 in y
3.510 * [backup-simplify]: Simplify 2 into 2
3.510 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
3.510 * [taylor]: Taking taylor expansion of (* x y) in y
3.511 * [taylor]: Taking taylor expansion of x in y
3.511 * [backup-simplify]: Simplify x into x
3.511 * [taylor]: Taking taylor expansion of y in y
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify 1 into 1
3.511 * [backup-simplify]: Simplify (* x 0) into 0
3.511 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
3.511 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
3.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.511 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.511 * [taylor]: Taking taylor expansion of y in x
3.511 * [backup-simplify]: Simplify y into y
3.511 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.511 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
3.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.511 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.511 * [taylor]: Taking taylor expansion of x in x
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify 1 into 1
3.512 * [backup-simplify]: Simplify (* 1 1) into 1
3.512 * [backup-simplify]: Simplify (/ 1 1) into 1
3.512 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
3.512 * [taylor]: Taking taylor expansion of 2 in x
3.512 * [backup-simplify]: Simplify 2 into 2
3.512 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.512 * [taylor]: Taking taylor expansion of (* x y) in x
3.512 * [taylor]: Taking taylor expansion of x in x
3.512 * [backup-simplify]: Simplify 0 into 0
3.512 * [backup-simplify]: Simplify 1 into 1
3.512 * [taylor]: Taking taylor expansion of y in x
3.512 * [backup-simplify]: Simplify y into y
3.512 * [backup-simplify]: Simplify (* 0 y) into 0
3.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.513 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
3.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.513 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.513 * [taylor]: Taking taylor expansion of y in x
3.513 * [backup-simplify]: Simplify y into y
3.513 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.513 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
3.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.513 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.513 * [taylor]: Taking taylor expansion of x in x
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 1 into 1
3.514 * [backup-simplify]: Simplify (* 1 1) into 1
3.514 * [backup-simplify]: Simplify (/ 1 1) into 1
3.514 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
3.514 * [taylor]: Taking taylor expansion of 2 in x
3.514 * [backup-simplify]: Simplify 2 into 2
3.514 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.514 * [taylor]: Taking taylor expansion of (* x y) in x
3.514 * [taylor]: Taking taylor expansion of x in x
3.514 * [backup-simplify]: Simplify 0 into 0
3.514 * [backup-simplify]: Simplify 1 into 1
3.514 * [taylor]: Taking taylor expansion of y in x
3.514 * [backup-simplify]: Simplify y into y
3.514 * [backup-simplify]: Simplify (* 0 y) into 0
3.515 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.515 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.515 * [backup-simplify]: Simplify (+ 1 0) into 1
3.515 * [backup-simplify]: Simplify (+ 0 1) into 1
3.516 * [taylor]: Taking taylor expansion of 1 in y
3.516 * [backup-simplify]: Simplify 1 into 1
3.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.517 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
3.517 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
3.517 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y))
3.517 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
3.517 * [taylor]: Taking taylor expansion of 2 in y
3.517 * [backup-simplify]: Simplify 2 into 2
3.517 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.517 * [taylor]: Taking taylor expansion of y in y
3.517 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify 1 into 1
3.517 * [backup-simplify]: Simplify (/ 1 1) into 1
3.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
3.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.520 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
3.520 * [backup-simplify]: Simplify (+ 0 0) into 0
3.521 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.521 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.521 * [taylor]: Taking taylor expansion of y in y
3.521 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify 1 into 1
3.521 * [backup-simplify]: Simplify (* 1 1) into 1
3.521 * [backup-simplify]: Simplify (/ 1 1) into 1
3.521 * [backup-simplify]: Simplify 1 into 1
3.522 * [backup-simplify]: Simplify (* 2 1) into 2
3.522 * [backup-simplify]: Simplify 2 into 2
3.522 * [backup-simplify]: Simplify 1 into 1
3.522 * [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))))
3.523 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))))
3.523 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0
3.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y
3.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.523 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.523 * [taylor]: Taking taylor expansion of y in y
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [backup-simplify]: Simplify (* 1 1) into 1
3.524 * [backup-simplify]: Simplify (/ 1 1) into 1
3.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y
3.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.524 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.524 * [taylor]: Taking taylor expansion of x in y
3.524 * [backup-simplify]: Simplify x into x
3.524 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.524 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.524 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y
3.524 * [taylor]: Taking taylor expansion of 2 in y
3.524 * [backup-simplify]: Simplify 2 into 2
3.524 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
3.524 * [taylor]: Taking taylor expansion of (* x y) in y
3.524 * [taylor]: Taking taylor expansion of x in y
3.524 * [backup-simplify]: Simplify x into x
3.524 * [taylor]: Taking taylor expansion of y in y
3.524 * [backup-simplify]: Simplify 0 into 0
3.524 * [backup-simplify]: Simplify 1 into 1
3.524 * [backup-simplify]: Simplify (* x 0) into 0
3.524 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
3.525 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.525 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.525 * [taylor]: Taking taylor expansion of y in x
3.525 * [backup-simplify]: Simplify y into y
3.525 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.525 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.525 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.525 * [taylor]: Taking taylor expansion of x in x
3.525 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify (* 1 1) into 1
3.526 * [backup-simplify]: Simplify (/ 1 1) into 1
3.526 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
3.526 * [taylor]: Taking taylor expansion of 2 in x
3.526 * [backup-simplify]: Simplify 2 into 2
3.526 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.526 * [taylor]: Taking taylor expansion of (* x y) in x
3.526 * [taylor]: Taking taylor expansion of x in x
3.526 * [backup-simplify]: Simplify 0 into 0
3.526 * [backup-simplify]: Simplify 1 into 1
3.526 * [taylor]: Taking taylor expansion of y in x
3.526 * [backup-simplify]: Simplify y into y
3.526 * [backup-simplify]: Simplify (* 0 y) into 0
3.526 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.526 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x
3.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.526 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.526 * [taylor]: Taking taylor expansion of y in x
3.526 * [backup-simplify]: Simplify y into y
3.526 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.527 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x
3.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.527 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.527 * [taylor]: Taking taylor expansion of x in x
3.527 * [backup-simplify]: Simplify 0 into 0
3.527 * [backup-simplify]: Simplify 1 into 1
3.527 * [backup-simplify]: Simplify (* 1 1) into 1
3.528 * [backup-simplify]: Simplify (/ 1 1) into 1
3.528 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x
3.528 * [taylor]: Taking taylor expansion of 2 in x
3.528 * [backup-simplify]: Simplify 2 into 2
3.528 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.528 * [taylor]: Taking taylor expansion of (* x y) in x
3.528 * [taylor]: Taking taylor expansion of x in x
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [taylor]: Taking taylor expansion of y in x
3.528 * [backup-simplify]: Simplify y into y
3.528 * [backup-simplify]: Simplify (* 0 y) into 0
3.529 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.529 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.529 * [backup-simplify]: Simplify (+ 1 0) into 1
3.530 * [backup-simplify]: Simplify (+ 0 1) into 1
3.530 * [taylor]: Taking taylor expansion of 1 in y
3.530 * [backup-simplify]: Simplify 1 into 1
3.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.532 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y)
3.532 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y))
3.532 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y))
3.532 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
3.532 * [taylor]: Taking taylor expansion of 2 in y
3.532 * [backup-simplify]: Simplify 2 into 2
3.532 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.532 * [taylor]: Taking taylor expansion of y in y
3.532 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify 1 into 1
3.533 * [backup-simplify]: Simplify (/ 1 1) into 1
3.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
3.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.537 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0
3.538 * [backup-simplify]: Simplify (+ 0 0) into 0
3.538 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.538 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.538 * [taylor]: Taking taylor expansion of y in y
3.538 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify 1 into 1
3.539 * [backup-simplify]: Simplify (* 1 1) into 1
3.539 * [backup-simplify]: Simplify (/ 1 1) into 1
3.539 * [backup-simplify]: Simplify 1 into 1
3.540 * [backup-simplify]: Simplify (* 2 1) into 2
3.540 * [backup-simplify]: Simplify 2 into 2
3.540 * [backup-simplify]: Simplify 1 into 1
3.541 * [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))))
3.541 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
3.541 * [backup-simplify]: Simplify (* (+ x y) x) into (* (+ x y) x)
3.541 * [approximate]: Taking taylor expansion of (* (+ x y) x) in (x y) around 0
3.541 * [taylor]: Taking taylor expansion of (* (+ x y) x) in y
3.541 * [taylor]: Taking taylor expansion of (+ x y) in y
3.541 * [taylor]: Taking taylor expansion of x in y
3.541 * [backup-simplify]: Simplify x into x
3.541 * [taylor]: Taking taylor expansion of y in y
3.541 * [backup-simplify]: Simplify 0 into 0
3.541 * [backup-simplify]: Simplify 1 into 1
3.541 * [taylor]: Taking taylor expansion of x in y
3.541 * [backup-simplify]: Simplify x into x
3.541 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x
3.541 * [taylor]: Taking taylor expansion of (+ x y) in x
3.541 * [taylor]: Taking taylor expansion of x in x
3.541 * [backup-simplify]: Simplify 0 into 0
3.541 * [backup-simplify]: Simplify 1 into 1
3.541 * [taylor]: Taking taylor expansion of y in x
3.541 * [backup-simplify]: Simplify y into y
3.541 * [taylor]: Taking taylor expansion of x in x
3.541 * [backup-simplify]: Simplify 0 into 0
3.541 * [backup-simplify]: Simplify 1 into 1
3.541 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x
3.541 * [taylor]: Taking taylor expansion of (+ x y) in x
3.542 * [taylor]: Taking taylor expansion of x in x
3.542 * [backup-simplify]: Simplify 0 into 0
3.542 * [backup-simplify]: Simplify 1 into 1
3.542 * [taylor]: Taking taylor expansion of y in x
3.542 * [backup-simplify]: Simplify y into y
3.542 * [taylor]: Taking taylor expansion of x in x
3.542 * [backup-simplify]: Simplify 0 into 0
3.542 * [backup-simplify]: Simplify 1 into 1
3.542 * [backup-simplify]: Simplify (+ 0 y) into y
3.542 * [backup-simplify]: Simplify (* y 0) into 0
3.542 * [taylor]: Taking taylor expansion of 0 in y
3.542 * [backup-simplify]: Simplify 0 into 0
3.542 * [backup-simplify]: Simplify 0 into 0
3.543 * [backup-simplify]: Simplify (+ 1 0) into 1
3.543 * [backup-simplify]: Simplify (+ (* y 1) (* 1 0)) into y
3.544 * [taylor]: Taking taylor expansion of y in y
3.544 * [backup-simplify]: Simplify 0 into 0
3.544 * [backup-simplify]: Simplify 1 into 1
3.544 * [backup-simplify]: Simplify 0 into 0
3.544 * [backup-simplify]: Simplify 0 into 0
3.544 * [backup-simplify]: Simplify (+ 0 0) into 0
3.545 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 0))) into 1
3.545 * [taylor]: Taking taylor expansion of 1 in y
3.545 * [backup-simplify]: Simplify 1 into 1
3.545 * [backup-simplify]: Simplify 1 into 1
3.545 * [backup-simplify]: Simplify 1 into 1
3.545 * [backup-simplify]: Simplify 0 into 0
3.546 * [backup-simplify]: Simplify (+ 0 0) into 0
3.547 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.547 * [taylor]: Taking taylor expansion of 0 in y
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 0 into 0
3.548 * [backup-simplify]: Simplify (+ 0 0) into 0
3.549 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.549 * [taylor]: Taking taylor expansion of 0 in y
3.550 * [backup-simplify]: Simplify 0 into 0
3.550 * [backup-simplify]: Simplify 0 into 0
3.550 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y))
3.550 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 x) (/ 1 y)) x)
3.550 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0
3.550 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y
3.550 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
3.550 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.550 * [taylor]: Taking taylor expansion of x in y
3.550 * [backup-simplify]: Simplify x into x
3.551 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.551 * [taylor]: Taking taylor expansion of y in y
3.551 * [backup-simplify]: Simplify 0 into 0
3.551 * [backup-simplify]: Simplify 1 into 1
3.551 * [backup-simplify]: Simplify (/ 1 1) into 1
3.551 * [taylor]: Taking taylor expansion of x in y
3.551 * [backup-simplify]: Simplify x into x
3.552 * [backup-simplify]: Simplify (+ 0 1) into 1
3.552 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.552 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x
3.552 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
3.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.552 * [taylor]: Taking taylor expansion of x in x
3.552 * [backup-simplify]: Simplify 0 into 0
3.552 * [backup-simplify]: Simplify 1 into 1
3.553 * [backup-simplify]: Simplify (/ 1 1) into 1
3.553 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.553 * [taylor]: Taking taylor expansion of y in x
3.553 * [backup-simplify]: Simplify y into y
3.553 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.553 * [taylor]: Taking taylor expansion of x in x
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 1 into 1
3.554 * [backup-simplify]: Simplify (+ 1 0) into 1
3.554 * [backup-simplify]: Simplify (/ 1 1) into 1
3.554 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x
3.554 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
3.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.555 * [taylor]: Taking taylor expansion of x in x
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify 1 into 1
3.555 * [backup-simplify]: Simplify (/ 1 1) into 1
3.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.555 * [taylor]: Taking taylor expansion of y in x
3.555 * [backup-simplify]: Simplify y into y
3.555 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.555 * [taylor]: Taking taylor expansion of x in x
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify 1 into 1
3.556 * [backup-simplify]: Simplify (+ 1 0) into 1
3.556 * [backup-simplify]: Simplify (/ 1 1) into 1
3.556 * [taylor]: Taking taylor expansion of 1 in y
3.556 * [backup-simplify]: Simplify 1 into 1
3.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.558 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
3.558 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y)
3.558 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.558 * [taylor]: Taking taylor expansion of y in y
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify 1 into 1
3.559 * [backup-simplify]: Simplify (/ 1 1) into 1
3.559 * [backup-simplify]: Simplify 1 into 1
3.559 * [backup-simplify]: Simplify 1 into 1
3.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.560 * [backup-simplify]: Simplify (+ 0 0) into 0
3.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0
3.562 * [taylor]: Taking taylor expansion of 0 in y
3.562 * [backup-simplify]: Simplify 0 into 0
3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.563 * [backup-simplify]: Simplify 0 into 0
3.563 * [backup-simplify]: Simplify 0 into 0
3.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.565 * [backup-simplify]: Simplify (+ 0 0) into 0
3.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.567 * [taylor]: Taking taylor expansion of 0 in y
3.568 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify 0 into 0
3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.569 * [backup-simplify]: Simplify 0 into 0
3.569 * [backup-simplify]: Simplify 0 into 0
3.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.571 * [backup-simplify]: Simplify (+ 0 0) into 0
3.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.574 * [taylor]: Taking taylor expansion of 0 in y
3.574 * [backup-simplify]: Simplify 0 into 0
3.574 * [backup-simplify]: Simplify 0 into 0
3.574 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y))
3.575 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 x) (/ 1 y)) x)
3.575 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0
3.575 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y
3.575 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
3.575 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.575 * [taylor]: Taking taylor expansion of x in y
3.575 * [backup-simplify]: Simplify x into x
3.575 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.575 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.575 * [taylor]: Taking taylor expansion of y in y
3.575 * [backup-simplify]: Simplify 0 into 0
3.575 * [backup-simplify]: Simplify 1 into 1
3.576 * [backup-simplify]: Simplify (/ 1 1) into 1
3.576 * [taylor]: Taking taylor expansion of x in y
3.576 * [backup-simplify]: Simplify x into x
3.576 * [backup-simplify]: Simplify (+ 0 1) into 1
3.577 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.577 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x
3.577 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
3.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.577 * [taylor]: Taking taylor expansion of x in x
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify 1 into 1
3.577 * [backup-simplify]: Simplify (/ 1 1) into 1
3.577 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.577 * [taylor]: Taking taylor expansion of y in x
3.577 * [backup-simplify]: Simplify y into y
3.577 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.577 * [taylor]: Taking taylor expansion of x in x
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify 1 into 1
3.578 * [backup-simplify]: Simplify (+ 1 0) into 1
3.578 * [backup-simplify]: Simplify (/ 1 1) into 1
3.578 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x
3.578 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
3.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.579 * [taylor]: Taking taylor expansion of x in x
3.579 * [backup-simplify]: Simplify 0 into 0
3.579 * [backup-simplify]: Simplify 1 into 1
3.579 * [backup-simplify]: Simplify (/ 1 1) into 1
3.579 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.579 * [taylor]: Taking taylor expansion of y in x
3.579 * [backup-simplify]: Simplify y into y
3.579 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.579 * [taylor]: Taking taylor expansion of x in x
3.579 * [backup-simplify]: Simplify 0 into 0
3.579 * [backup-simplify]: Simplify 1 into 1
3.580 * [backup-simplify]: Simplify (+ 1 0) into 1
3.580 * [backup-simplify]: Simplify (/ 1 1) into 1
3.580 * [taylor]: Taking taylor expansion of 1 in y
3.580 * [backup-simplify]: Simplify 1 into 1
3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.581 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
3.582 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y)
3.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.582 * [taylor]: Taking taylor expansion of y in y
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify 1 into 1
3.583 * [backup-simplify]: Simplify (/ 1 1) into 1
3.583 * [backup-simplify]: Simplify 1 into 1
3.583 * [backup-simplify]: Simplify 1 into 1
3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.585 * [backup-simplify]: Simplify (+ 0 0) into 0
3.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0
3.586 * [taylor]: Taking taylor expansion of 0 in y
3.586 * [backup-simplify]: Simplify 0 into 0
3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.586 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.588 * [backup-simplify]: Simplify (+ 0 0) into 0
3.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.589 * [taylor]: Taking taylor expansion of 0 in y
3.589 * [backup-simplify]: Simplify 0 into 0
3.589 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.590 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify 0 into 0
3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.591 * [backup-simplify]: Simplify (+ 0 0) into 0
3.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.593 * [taylor]: Taking taylor expansion of 0 in y
3.593 * [backup-simplify]: Simplify 0 into 0
3.593 * [backup-simplify]: Simplify 0 into 0
3.593 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y))
3.593 * * * [progress]: simplifying candidates
3.594 * [simplify]: Simplifying:
  (expm1 (+ (* (+ x y) x) (* (+ x y) y)))
  (log1p (+ (* (+ x y) x) (* (+ x y) y)))
  (* (exp (* (+ x y) x)) (exp (* (+ x y) y)))
  (log (+ (* (+ x y) x) (* (+ x y) y)))
  (exp (+ (* (+ x y) x) (* (+ x y) y)))
  (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))))
  (cbrt (+ (* (+ x y) x) (* (+ x y) y)))
  (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y)))
  (sqrt (+ (* (+ x y) x) (* (+ x y) y)))
  (sqrt (+ (* (+ x y) x) (* (+ x y) y)))
  (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y)))
  (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))
  (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y)))
  (* (+ (* x x) (- (* y y) (* x y))) (- x y))
  (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y)))
  (* (- x y) (+ (* x x) (- (* y y) (* x y))))
  (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y)))
  (* (- x y) (- x y))
  (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3))
  (+ (* (* (+ x y) x) (* (+ x y) x)) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* (+ x y) x) (* (+ x y) y))))
  (- (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (* (+ x y) y)))
  (- (* (+ x y) x) (* (+ x y) y))
  (+ x y)
  (expm1 (* (+ x y) x))
  (log1p (* (+ x y) x))
  (* (+ x y) x)
  (+ (log (+ x y)) (log x))
  (log (* (+ x y) x))
  (exp (* (+ x y) x))
  (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))
  (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x)))
  (cbrt (* (+ x y) x))
  (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x))
  (sqrt (* (+ x y) x))
  (sqrt (* (+ x y) x))
  (* (sqrt (+ x y)) (sqrt x))
  (* (sqrt (+ x y)) (sqrt x))
  (* (+ x y) (* (cbrt x) (cbrt x)))
  (* (+ x y) (sqrt x))
  (* (+ x y) 1)
  (* (cbrt (+ x y)) x)
  (* (sqrt (+ x y)) x)
  (* (+ x y) x)
  (* (+ x y) x)
  (* (+ (pow x 3) (pow y 3)) x)
  (* (- (* x x) (* y y)) x)
  (+ (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))))
  (+ (pow x 2) (* x y))
  (+ (pow x 2) (* x y))
  (+ (pow x 2) (* x y))
3.595 * * [simplify]: iteration 0: 92 enodes
3.613 * * [simplify]: iteration 1: 293 enodes
3.876 * * [simplify]: iteration 2: 1878 enodes
5.213 * * [simplify]: iteration complete: 5002 enodes
5.213 * * [simplify]: Extracting #0: cost 38 inf + 0
5.216 * * [simplify]: Extracting #1: cost 600 inf + 0
5.227 * * [simplify]: Extracting #2: cost 1458 inf + 12286
5.278 * * [simplify]: Extracting #3: cost 691 inf + 136235
5.348 * * [simplify]: Extracting #4: cost 102 inf + 228852
5.433 * * [simplify]: Extracting #5: cost 11 inf + 245550
5.502 * * [simplify]: Extracting #6: cost 0 inf + 248886
5.575 * [simplify]: Simplified to:
  (expm1 (* (+ y x) (+ y x)))
  (log1p (* (+ y x) (+ y x)))
  (exp (* (+ y x) (+ y x)))
  (+ (log (+ y x)) (log (+ y x)))
  (exp (* (+ 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))
  (* (fma y (- y x) (* x x)) (fma x (fma x (* x x) (* (* y y) y)) (* (fma x (* x x) (* (* y y) y)) y)))
  (* (fma y (- y x) (* x x)) (fma y (- y x) (* x x)))
  (fma y (* (fma y (- y x) (* x x)) (* (+ y x) (- x y))) (* (* (- x y) x) (fma x (* x x) (* (* y y) y))))
  (* (fma y (- y x) (* x x)) (- x y))
  (fma (* (fma x (* x x) (* (* y y) y)) y) (- x y) (* (* x (* (+ y x) (- x y))) (fma y (- y x) (* x x))))
  (* (fma y (- y x) (* x x)) (- x y))
  (* (- x y) (fma y (* (+ y x) (- x y)) (* x (* (+ y x) (- x y)))))
  (* (- x y) (- x y))
  (fma (* (* (+ y x) y) (* (+ y x) y)) (* y (+ y x)) (* (* (* x (+ y x)) (* x (+ y x))) (* x (+ y x))))
  (fma (- (* y (+ y x)) (* x (+ y x))) (* y (+ y x)) (* (* x (+ y x)) (* x (+ y x))))
  (* (* (+ y x) (- x y)) (* (+ y x) (+ y x)))
  (* (+ y x) (- x y))
  (+ y x)
  (expm1 (* x (+ y x)))
  (log1p (* x (+ y x)))
  (* x (+ y x))
  (log (* x (+ y x)))
  (log (* x (+ y x)))
  (exp (* x (+ y x)))
  (* (* (* x (+ y x)) (* x (+ y x))) (* x (+ y x)))
  (* (cbrt (* x (+ y x))) (cbrt (* x (+ y x))))
  (cbrt (* x (+ y x)))
  (* (* (* x (+ y x)) (* x (+ y x))) (* x (+ y x)))
  (sqrt (* x (+ y x)))
  (sqrt (* x (+ y x)))
  (* (sqrt (+ y x)) (sqrt x))
  (* (sqrt (+ y x)) (sqrt x))
  (* (* (cbrt x) (cbrt x)) (+ y x))
  (* (sqrt x) (+ y x))
  (+ y x)
  (* (cbrt (+ y x)) x)
  (* (sqrt (+ y x)) x)
  (* x (+ y x))
  (* x (+ y x))
  (* (fma x (* x x) (* (* y y) y)) x)
  (* x (* (+ y x) (- x y)))
  (fma y y (fma (* y x) 2 (* x x)))
  (fma y y (fma (* y x) 2 (* x x)))
  (fma y y (fma (* y x) 2 (* x x)))
  (* x (+ y x))
  (* x (+ y x))
  (* x (+ y x))
5.578 * * * [progress]: adding candidates to table
5.787 * [progress]: [Phase 3 of 3] Extracting.
5.787 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ (* (+ x y) x) (* (+ x y) y)))> #<alt (λ (x y) (fma 2 (* x y) (fma x x (* y y))))>)
5.788 * * * [regime-changes]: Trying 2 branch expressions: (y x)
5.788 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ (* (+ x y) x) (* (+ x y) y)))> #<alt (λ (x y) (fma 2 (* x y) (fma x x (* y y))))>)
5.814 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ (* (+ x y) x) (* (+ x y) y)))> #<alt (λ (x y) (fma 2 (* x y) (fma x x (* y y))))>)
5.844 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
5.844 * [simplify]: Simplifying:
  (fma 2 (* x y) (fma x x (* y y)))
5.845 * * [simplify]: iteration 0: 7 enodes
5.845 * * [simplify]: iteration 1: 8 enodes
5.845 * * [simplify]: iteration complete: 8 enodes
5.846 * * [simplify]: Extracting #0: cost 1 inf + 0
5.846 * * [simplify]: Extracting #1: cost 4 inf + 0
5.846 * * [simplify]: Extracting #2: cost 6 inf + 1
5.846 * * [simplify]: Extracting #3: cost 0 inf + 376
5.846 * [simplify]: Simplified to:
  (fma 2 (* y x) (fma x x (* y y)))
6.994 * [regime-testing]: Baseline error score: 0.013846091699232838
7.007 * [regime-testing]: Oracle error score: 0.005750718839854982
7.033 * [regime-testing]: End program error score: 0.013846091699232838
7.126 * [regime-testing]: Target error score: 0.014074879672549214