0.001 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.053 * * * [progress]: [2/2] Setting up program.
0.057 * [progress]: [Phase 2 of 3] Improving.
0.057 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))>
0.057 * [simplify]: Simplifying (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.057 * * [simplify]: iteration 1: (9 enodes)
0.062 * * [simplify]: iteration 2: (40 enodes)
0.074 * * [simplify]: iteration 3: (78 enodes)
0.100 * * [simplify]: iteration 4: (151 enodes)
0.153 * * [simplify]: iteration 5: (261 enodes)
0.216 * * [simplify]: iteration 6: (452 enodes)
0.328 * * [simplify]: iteration 7: (745 enodes)
0.551 * * [simplify]: Extracting #0: cost 1 inf + 0
0.551 * * [simplify]: Extracting #1: cost 46 inf + 0
0.551 * * [simplify]: Extracting #2: cost 175 inf + 1
0.553 * * [simplify]: Extracting #3: cost 246 inf + 867
0.556 * * [simplify]: Extracting #4: cost 134 inf + 17563
0.579 * * [simplify]: Extracting #5: cost 15 inf + 42555
0.605 * * [simplify]: Extracting #6: cost 0 inf + 46305
0.629 * [simplify]: Simplified to (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
0.629 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))>
0.629 * [simplify]: Simplified (2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
0.639 * * [progress]: iteration 1 / 4
0.639 * * * [progress]: picking best candidate
0.643 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))>
0.643 * * * [progress]: localizing error
0.677 * * * [progress]: generating rewritten candidates
0.677 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.710 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.730 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.783 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
0.791 * * * [progress]: generating series expansions
0.791 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.791 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
0.792 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
0.792 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
0.792 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.792 * [taylor]: Taking taylor expansion of y in x
0.792 * [backup-simplify]: Simplify y into y
0.792 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.792 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.792 * [taylor]: Taking taylor expansion of y in x
0.792 * [backup-simplify]: Simplify y into y
0.792 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.792 * [taylor]: Taking taylor expansion of x in x
0.792 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify 1 into 1
0.792 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.792 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.792 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.792 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
0.792 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
0.792 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.792 * [taylor]: Taking taylor expansion of y in y
0.792 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify 1 into 1
0.792 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.792 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.792 * [taylor]: Taking taylor expansion of y in y
0.792 * [backup-simplify]: Simplify 0 into 0
0.792 * [backup-simplify]: Simplify 1 into 1
0.792 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.792 * [taylor]: Taking taylor expansion of x in y
0.792 * [backup-simplify]: Simplify x into x
0.793 * [backup-simplify]: Simplify (* 1 1) into 1
0.793 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.793 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.793 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.793 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
0.793 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.793 * [taylor]: Taking taylor expansion of y in y
0.793 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify 1 into 1
0.793 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.793 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.793 * [taylor]: Taking taylor expansion of y in y
0.793 * [backup-simplify]: Simplify 0 into 0
0.793 * [backup-simplify]: Simplify 1 into 1
0.793 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.793 * [taylor]: Taking taylor expansion of x in y
0.793 * [backup-simplify]: Simplify x into x
0.793 * [backup-simplify]: Simplify (* 1 1) into 1
0.793 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.793 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.794 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.794 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.794 * [taylor]: Taking taylor expansion of x in x
0.794 * [backup-simplify]: Simplify 0 into 0
0.794 * [backup-simplify]: Simplify 1 into 1
0.794 * [backup-simplify]: Simplify (* 1 1) into 1
0.794 * [backup-simplify]: Simplify (/ 1 1) into 1
0.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.796 * [backup-simplify]: Simplify 0 into 0
0.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.797 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.797 * [backup-simplify]: Simplify (+ 0 0) into 0
0.797 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.797 * [taylor]: Taking taylor expansion of 0 in x
0.797 * [backup-simplify]: Simplify 0 into 0
0.797 * [backup-simplify]: Simplify 0 into 0
0.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.798 * [backup-simplify]: Simplify 0 into 0
0.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.799 * [backup-simplify]: Simplify (* 1 1) into 1
0.800 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.800 * [backup-simplify]: Simplify (+ 1 0) into 1
0.800 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
0.800 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.800 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.800 * [taylor]: Taking taylor expansion of x in x
0.800 * [backup-simplify]: Simplify 0 into 0
0.800 * [backup-simplify]: Simplify 1 into 1
0.800 * [backup-simplify]: Simplify (* 1 1) into 1
0.801 * [backup-simplify]: Simplify (* 1 1) into 1
0.801 * [backup-simplify]: Simplify (/ 1 1) into 1
0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.808 * [backup-simplify]: Simplify (- 0) into 0
0.808 * [backup-simplify]: Simplify 0 into 0
0.808 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify 0 into 0
0.809 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
0.809 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
0.809 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
0.809 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.809 * [taylor]: Taking taylor expansion of y in x
0.809 * [backup-simplify]: Simplify y into y
0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.810 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.810 * [taylor]: Taking taylor expansion of y in x
0.810 * [backup-simplify]: Simplify y into y
0.810 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.810 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.810 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.810 * [taylor]: Taking taylor expansion of x in x
0.810 * [backup-simplify]: Simplify 0 into 0
0.810 * [backup-simplify]: Simplify 1 into 1
0.810 * [backup-simplify]: Simplify (* 1 1) into 1
0.810 * [backup-simplify]: Simplify (/ 1 1) into 1
0.810 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.811 * [backup-simplify]: Simplify (+ 0 1) into 1
0.811 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
0.811 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.811 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
0.811 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.811 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.811 * [taylor]: Taking taylor expansion of y in y
0.811 * [backup-simplify]: Simplify 0 into 0
0.811 * [backup-simplify]: Simplify 1 into 1
0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.811 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.811 * [taylor]: Taking taylor expansion of y in y
0.811 * [backup-simplify]: Simplify 0 into 0
0.811 * [backup-simplify]: Simplify 1 into 1
0.811 * [backup-simplify]: Simplify (* 1 1) into 1
0.811 * [backup-simplify]: Simplify (/ 1 1) into 1
0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.811 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.811 * [taylor]: Taking taylor expansion of x in y
0.811 * [backup-simplify]: Simplify x into x
0.811 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.812 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.812 * [backup-simplify]: Simplify (* 1 1) into 1
0.812 * [backup-simplify]: Simplify (+ 1 0) into 1
0.812 * [backup-simplify]: Simplify (* 1 1) into 1
0.813 * [backup-simplify]: Simplify (/ 1 1) into 1
0.813 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
0.813 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.813 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.813 * [taylor]: Taking taylor expansion of y in y
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 1 into 1
0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.813 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.813 * [taylor]: Taking taylor expansion of y in y
0.813 * [backup-simplify]: Simplify 0 into 0
0.813 * [backup-simplify]: Simplify 1 into 1
0.813 * [backup-simplify]: Simplify (* 1 1) into 1
0.813 * [backup-simplify]: Simplify (/ 1 1) into 1
0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.813 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.813 * [taylor]: Taking taylor expansion of x in y
0.813 * [backup-simplify]: Simplify x into x
0.813 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.813 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.814 * [backup-simplify]: Simplify (* 1 1) into 1
0.814 * [backup-simplify]: Simplify (+ 1 0) into 1
0.814 * [backup-simplify]: Simplify (* 1 1) into 1
0.814 * [backup-simplify]: Simplify (/ 1 1) into 1
0.814 * [taylor]: Taking taylor expansion of 1 in x
0.815 * [backup-simplify]: Simplify 1 into 1
0.815 * [backup-simplify]: Simplify 0 into 0
0.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.816 * [backup-simplify]: Simplify (+ 0 0) into 0
0.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.817 * [taylor]: Taking taylor expansion of 0 in x
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 0 into 0
0.817 * [backup-simplify]: Simplify 0 into 0
0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.818 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.819 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
0.820 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.820 * [taylor]: Taking taylor expansion of x in x
0.820 * [backup-simplify]: Simplify 0 into 0
0.820 * [backup-simplify]: Simplify 1 into 1
0.820 * [backup-simplify]: Simplify (* 1 1) into 1
0.820 * [backup-simplify]: Simplify (/ 1 1) into 1
0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.825 * [backup-simplify]: Simplify (- 0) into 0
0.825 * [backup-simplify]: Simplify 0 into 0
0.825 * [backup-simplify]: Simplify 0 into 0
0.825 * [backup-simplify]: Simplify 0 into 0
0.825 * [backup-simplify]: Simplify 0 into 0
0.825 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
0.825 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
0.825 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
0.825 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.825 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.825 * [taylor]: Taking taylor expansion of y in x
0.825 * [backup-simplify]: Simplify y into y
0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.825 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.825 * [taylor]: Taking taylor expansion of y in x
0.825 * [backup-simplify]: Simplify y into y
0.825 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.825 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.826 * [taylor]: Taking taylor expansion of x in x
0.826 * [backup-simplify]: Simplify 0 into 0
0.826 * [backup-simplify]: Simplify 1 into 1
0.826 * [backup-simplify]: Simplify (* 1 1) into 1
0.826 * [backup-simplify]: Simplify (/ 1 1) into 1
0.826 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.826 * [backup-simplify]: Simplify (+ 0 1) into 1
0.826 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
0.827 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.827 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
0.827 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.827 * [taylor]: Taking taylor expansion of y in y
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 1 into 1
0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.827 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.827 * [taylor]: Taking taylor expansion of y in y
0.827 * [backup-simplify]: Simplify 0 into 0
0.827 * [backup-simplify]: Simplify 1 into 1
0.827 * [backup-simplify]: Simplify (* 1 1) into 1
0.827 * [backup-simplify]: Simplify (/ 1 1) into 1
0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.827 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.827 * [taylor]: Taking taylor expansion of x in y
0.827 * [backup-simplify]: Simplify x into x
0.827 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.827 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.828 * [backup-simplify]: Simplify (* 1 1) into 1
0.828 * [backup-simplify]: Simplify (+ 1 0) into 1
0.828 * [backup-simplify]: Simplify (* 1 1) into 1
0.828 * [backup-simplify]: Simplify (/ 1 1) into 1
0.828 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
0.828 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.828 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.829 * [taylor]: Taking taylor expansion of y in y
0.829 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify 1 into 1
0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.829 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.829 * [taylor]: Taking taylor expansion of y in y
0.829 * [backup-simplify]: Simplify 0 into 0
0.829 * [backup-simplify]: Simplify 1 into 1
0.829 * [backup-simplify]: Simplify (* 1 1) into 1
0.829 * [backup-simplify]: Simplify (/ 1 1) into 1
0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.829 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.829 * [taylor]: Taking taylor expansion of x in y
0.829 * [backup-simplify]: Simplify x into x
0.829 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.829 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.830 * [backup-simplify]: Simplify (* 1 1) into 1
0.830 * [backup-simplify]: Simplify (+ 1 0) into 1
0.830 * [backup-simplify]: Simplify (* 1 1) into 1
0.830 * [backup-simplify]: Simplify (/ 1 1) into 1
0.830 * [taylor]: Taking taylor expansion of 1 in x
0.831 * [backup-simplify]: Simplify 1 into 1
0.831 * [backup-simplify]: Simplify 0 into 0
0.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.832 * [backup-simplify]: Simplify (+ 0 0) into 0
0.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.833 * [taylor]: Taking taylor expansion of 0 in x
0.833 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify 0 into 0
0.833 * [backup-simplify]: Simplify 0 into 0
0.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.834 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.836 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
0.836 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.836 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.836 * [taylor]: Taking taylor expansion of x in x
0.836 * [backup-simplify]: Simplify 0 into 0
0.836 * [backup-simplify]: Simplify 1 into 1
0.836 * [backup-simplify]: Simplify (* 1 1) into 1
0.837 * [backup-simplify]: Simplify (/ 1 1) into 1
0.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.844 * [backup-simplify]: Simplify (- 0) into 0
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * [backup-simplify]: Simplify 0 into 0
0.844 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.845 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2)))
0.845 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0
0.845 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
0.845 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.845 * [taylor]: Taking taylor expansion of x in y
0.845 * [backup-simplify]: Simplify x into x
0.845 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.845 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.845 * [taylor]: Taking taylor expansion of y in y
0.845 * [backup-simplify]: Simplify 0 into 0
0.845 * [backup-simplify]: Simplify 1 into 1
0.845 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.845 * [taylor]: Taking taylor expansion of x in y
0.845 * [backup-simplify]: Simplify x into x
0.845 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.845 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.845 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.845 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
0.845 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
0.845 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.845 * [taylor]: Taking taylor expansion of x in x
0.845 * [backup-simplify]: Simplify 0 into 0
0.845 * [backup-simplify]: Simplify 1 into 1
0.846 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.846 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.846 * [taylor]: Taking taylor expansion of y in x
0.846 * [backup-simplify]: Simplify y into y
0.846 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.846 * [taylor]: Taking taylor expansion of x in x
0.846 * [backup-simplify]: Simplify 0 into 0
0.846 * [backup-simplify]: Simplify 1 into 1
0.846 * [backup-simplify]: Simplify (* 1 1) into 1
0.846 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.846 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.846 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.846 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
0.846 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.847 * [taylor]: Taking taylor expansion of x in x
0.847 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify 1 into 1
0.847 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.847 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.847 * [taylor]: Taking taylor expansion of y in x
0.847 * [backup-simplify]: Simplify y into y
0.847 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.847 * [taylor]: Taking taylor expansion of x in x
0.847 * [backup-simplify]: Simplify 0 into 0
0.847 * [backup-simplify]: Simplify 1 into 1
0.847 * [backup-simplify]: Simplify (* 1 1) into 1
0.847 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.847 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.847 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.848 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.848 * [taylor]: Taking taylor expansion of y in y
0.848 * [backup-simplify]: Simplify 0 into 0
0.848 * [backup-simplify]: Simplify 1 into 1
0.848 * [backup-simplify]: Simplify (* 1 1) into 1
0.848 * [backup-simplify]: Simplify (/ 1 1) into 1
0.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.852 * [backup-simplify]: Simplify 0 into 0
0.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.853 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.853 * [backup-simplify]: Simplify (+ 0 0) into 0
0.854 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.854 * [taylor]: Taking taylor expansion of 0 in y
0.854 * [backup-simplify]: Simplify 0 into 0
0.854 * [backup-simplify]: Simplify 0 into 0
0.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.856 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.858 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.858 * [backup-simplify]: Simplify (* 1 1) into 1
0.859 * [backup-simplify]: Simplify (+ 0 1) into 1
0.859 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4)))
0.859 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.859 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.859 * [taylor]: Taking taylor expansion of y in y
0.859 * [backup-simplify]: Simplify 0 into 0
0.859 * [backup-simplify]: Simplify 1 into 1
0.860 * [backup-simplify]: Simplify (* 1 1) into 1
0.860 * [backup-simplify]: Simplify (* 1 1) into 1
0.860 * [backup-simplify]: Simplify (/ 1 1) into 1
0.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.875 * [backup-simplify]: Simplify (- 0) into 0
0.875 * [backup-simplify]: Simplify 0 into 0
0.875 * [backup-simplify]: Simplify 0 into 0
0.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.877 * [backup-simplify]: Simplify 0 into 0
0.877 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
0.878 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
0.878 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
0.878 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.878 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.878 * [taylor]: Taking taylor expansion of x in y
0.878 * [backup-simplify]: Simplify x into x
0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.878 * [taylor]: Taking taylor expansion of y in y
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 1 into 1
0.878 * [backup-simplify]: Simplify (* 1 1) into 1
0.879 * [backup-simplify]: Simplify (/ 1 1) into 1
0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.879 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.879 * [taylor]: Taking taylor expansion of x in y
0.879 * [backup-simplify]: Simplify x into x
0.879 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.879 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.879 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.879 * [backup-simplify]: Simplify (+ 1 0) into 1
0.879 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
0.880 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.880 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
0.880 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.880 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.880 * [taylor]: Taking taylor expansion of x in x
0.880 * [backup-simplify]: Simplify 0 into 0
0.880 * [backup-simplify]: Simplify 1 into 1
0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.880 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.880 * [taylor]: Taking taylor expansion of y in x
0.880 * [backup-simplify]: Simplify y into y
0.880 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.880 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.880 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.880 * [taylor]: Taking taylor expansion of x in x
0.880 * [backup-simplify]: Simplify 0 into 0
0.880 * [backup-simplify]: Simplify 1 into 1
0.881 * [backup-simplify]: Simplify (* 1 1) into 1
0.881 * [backup-simplify]: Simplify (/ 1 1) into 1
0.881 * [backup-simplify]: Simplify (* 1 1) into 1
0.882 * [backup-simplify]: Simplify (+ 0 1) into 1
0.882 * [backup-simplify]: Simplify (* 1 1) into 1
0.883 * [backup-simplify]: Simplify (/ 1 1) into 1
0.883 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
0.883 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.883 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.883 * [taylor]: Taking taylor expansion of x in x
0.883 * [backup-simplify]: Simplify 0 into 0
0.883 * [backup-simplify]: Simplify 1 into 1
0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.883 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.883 * [taylor]: Taking taylor expansion of y in x
0.883 * [backup-simplify]: Simplify y into y
0.883 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.883 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.883 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.883 * [taylor]: Taking taylor expansion of x in x
0.883 * [backup-simplify]: Simplify 0 into 0
0.883 * [backup-simplify]: Simplify 1 into 1
0.884 * [backup-simplify]: Simplify (* 1 1) into 1
0.884 * [backup-simplify]: Simplify (/ 1 1) into 1
0.884 * [backup-simplify]: Simplify (* 1 1) into 1
0.885 * [backup-simplify]: Simplify (+ 0 1) into 1
0.885 * [backup-simplify]: Simplify (* 1 1) into 1
0.886 * [backup-simplify]: Simplify (/ 1 1) into 1
0.886 * [taylor]: Taking taylor expansion of 1 in y
0.886 * [backup-simplify]: Simplify 1 into 1
0.886 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.888 * [backup-simplify]: Simplify (+ 0 0) into 0
0.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.890 * [taylor]: Taking taylor expansion of 0 in y
0.890 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify 0 into 0
0.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.892 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.894 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
0.895 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.895 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.895 * [taylor]: Taking taylor expansion of y in y
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [backup-simplify]: Simplify 1 into 1
0.895 * [backup-simplify]: Simplify (* 1 1) into 1
0.895 * [backup-simplify]: Simplify (/ 1 1) into 1
0.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.903 * [backup-simplify]: Simplify (- 0) into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
0.904 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
0.904 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
0.904 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.904 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.904 * [taylor]: Taking taylor expansion of x in y
0.904 * [backup-simplify]: Simplify x into x
0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.904 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.904 * [taylor]: Taking taylor expansion of y in y
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 1 into 1
0.904 * [backup-simplify]: Simplify (* 1 1) into 1
0.905 * [backup-simplify]: Simplify (/ 1 1) into 1
0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.905 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.905 * [taylor]: Taking taylor expansion of x in y
0.905 * [backup-simplify]: Simplify x into x
0.905 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.905 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.905 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.906 * [backup-simplify]: Simplify (+ 1 0) into 1
0.906 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
0.906 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.906 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
0.906 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.906 * [taylor]: Taking taylor expansion of x in x
0.906 * [backup-simplify]: Simplify 0 into 0
0.906 * [backup-simplify]: Simplify 1 into 1
0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.906 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.906 * [taylor]: Taking taylor expansion of y in x
0.906 * [backup-simplify]: Simplify y into y
0.906 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.906 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.906 * [taylor]: Taking taylor expansion of x in x
0.906 * [backup-simplify]: Simplify 0 into 0
0.906 * [backup-simplify]: Simplify 1 into 1
0.907 * [backup-simplify]: Simplify (* 1 1) into 1
0.907 * [backup-simplify]: Simplify (/ 1 1) into 1
0.908 * [backup-simplify]: Simplify (* 1 1) into 1
0.908 * [backup-simplify]: Simplify (+ 0 1) into 1
0.908 * [backup-simplify]: Simplify (* 1 1) into 1
0.909 * [backup-simplify]: Simplify (/ 1 1) into 1
0.909 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
0.909 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.909 * [taylor]: Taking taylor expansion of x in x
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify 1 into 1
0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.909 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.909 * [taylor]: Taking taylor expansion of y in x
0.909 * [backup-simplify]: Simplify y into y
0.909 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.909 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.910 * [taylor]: Taking taylor expansion of x in x
0.910 * [backup-simplify]: Simplify 0 into 0
0.910 * [backup-simplify]: Simplify 1 into 1
0.910 * [backup-simplify]: Simplify (* 1 1) into 1
0.910 * [backup-simplify]: Simplify (/ 1 1) into 1
0.911 * [backup-simplify]: Simplify (* 1 1) into 1
0.911 * [backup-simplify]: Simplify (+ 0 1) into 1
0.912 * [backup-simplify]: Simplify (* 1 1) into 1
0.912 * [backup-simplify]: Simplify (/ 1 1) into 1
0.912 * [taylor]: Taking taylor expansion of 1 in y
0.912 * [backup-simplify]: Simplify 1 into 1
0.912 * [backup-simplify]: Simplify 0 into 0
0.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.914 * [backup-simplify]: Simplify (+ 0 0) into 0
0.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.916 * [taylor]: Taking taylor expansion of 0 in y
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify 0 into 0
0.916 * [backup-simplify]: Simplify 0 into 0
0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.918 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.920 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
0.921 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.921 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.921 * [taylor]: Taking taylor expansion of y in y
0.921 * [backup-simplify]: Simplify 0 into 0
0.921 * [backup-simplify]: Simplify 1 into 1
0.921 * [backup-simplify]: Simplify (* 1 1) into 1
0.922 * [backup-simplify]: Simplify (/ 1 1) into 1
0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.930 * [backup-simplify]: Simplify (- 0) into 0
0.930 * [backup-simplify]: Simplify 0 into 0
0.930 * [backup-simplify]: Simplify 0 into 0
0.930 * [backup-simplify]: Simplify 0 into 0
0.930 * [backup-simplify]: Simplify 0 into 0
0.930 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.931 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) into (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2))))
0.931 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in (x y) around 0
0.931 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in y
0.931 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
0.931 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.931 * [taylor]: Taking taylor expansion of x in y
0.931 * [backup-simplify]: Simplify x into x
0.931 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.931 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.931 * [taylor]: Taking taylor expansion of y in y
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 1 into 1
0.931 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.931 * [taylor]: Taking taylor expansion of x in y
0.931 * [backup-simplify]: Simplify x into x
0.931 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.931 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.932 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.932 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
0.932 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
0.932 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.932 * [taylor]: Taking taylor expansion of y in y
0.932 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify 1 into 1
0.932 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.932 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.932 * [taylor]: Taking taylor expansion of y in y
0.932 * [backup-simplify]: Simplify 0 into 0
0.932 * [backup-simplify]: Simplify 1 into 1
0.932 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.932 * [taylor]: Taking taylor expansion of x in y
0.932 * [backup-simplify]: Simplify x into x
0.932 * [backup-simplify]: Simplify (* 1 1) into 1
0.932 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.933 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.933 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.933 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x
0.933 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.933 * [taylor]: Taking taylor expansion of x in x
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 1 into 1
0.933 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.933 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.933 * [taylor]: Taking taylor expansion of y in x
0.933 * [backup-simplify]: Simplify y into y
0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.933 * [taylor]: Taking taylor expansion of x in x
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 1 into 1
0.933 * [backup-simplify]: Simplify (* 1 1) into 1
0.934 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.934 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.934 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.934 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
0.934 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.934 * [taylor]: Taking taylor expansion of y in x
0.934 * [backup-simplify]: Simplify y into y
0.934 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.934 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.934 * [taylor]: Taking taylor expansion of y in x
0.934 * [backup-simplify]: Simplify y into y
0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.934 * [taylor]: Taking taylor expansion of x in x
0.934 * [backup-simplify]: Simplify 0 into 0
0.934 * [backup-simplify]: Simplify 1 into 1
0.934 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.934 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.934 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.934 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
0.934 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x
0.934 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.935 * [taylor]: Taking taylor expansion of x in x
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify 1 into 1
0.935 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.935 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.935 * [taylor]: Taking taylor expansion of y in x
0.935 * [backup-simplify]: Simplify y into y
0.935 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.935 * [taylor]: Taking taylor expansion of x in x
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify 1 into 1
0.935 * [backup-simplify]: Simplify (* 1 1) into 1
0.935 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.935 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.935 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.935 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
0.936 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.936 * [taylor]: Taking taylor expansion of y in x
0.936 * [backup-simplify]: Simplify y into y
0.936 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.936 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.936 * [taylor]: Taking taylor expansion of y in x
0.936 * [backup-simplify]: Simplify y into y
0.936 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.936 * [taylor]: Taking taylor expansion of x in x
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify 1 into 1
0.936 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.936 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.936 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.936 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
0.937 * [backup-simplify]: Simplify (- 1) into -1
0.937 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.937 * [taylor]: Taking taylor expansion of -1 in y
0.937 * [backup-simplify]: Simplify -1 into -1
0.937 * [backup-simplify]: Simplify -1 into -1
0.937 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.937 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.938 * [backup-simplify]: Simplify (+ 0 0) into 0
0.938 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0
0.938 * [backup-simplify]: Simplify (- 0) into 0
0.939 * [backup-simplify]: Simplify (+ 0 0) into 0
0.939 * [taylor]: Taking taylor expansion of 0 in y
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.940 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.940 * [backup-simplify]: Simplify (* 1 1) into 1
0.941 * [backup-simplify]: Simplify (+ 0 1) into 1
0.941 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2)))
0.941 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2))
0.941 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
0.941 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.942 * [taylor]: Taking taylor expansion of 2 in y
0.942 * [backup-simplify]: Simplify 2 into 2
0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.942 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.942 * [taylor]: Taking taylor expansion of y in y
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 1 into 1
0.942 * [backup-simplify]: Simplify (* 1 1) into 1
0.942 * [backup-simplify]: Simplify (/ 1 1) into 1
0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.947 * [backup-simplify]: Simplify 0 into 0
0.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.948 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.948 * [backup-simplify]: Simplify (+ 0 0) into 0
0.948 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.949 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.950 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.951 * [backup-simplify]: Simplify (+ 0 0) into 0
0.952 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
0.952 * [backup-simplify]: Simplify (- 0) into 0
0.952 * [backup-simplify]: Simplify (+ 0 0) into 0
0.953 * [taylor]: Taking taylor expansion of 0 in y
0.953 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify -1 into -1
0.953 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))))
0.953 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0
0.953 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y
0.953 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
0.953 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.953 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.953 * [taylor]: Taking taylor expansion of x in y
0.954 * [backup-simplify]: Simplify x into x
0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.954 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.954 * [taylor]: Taking taylor expansion of y in y
0.954 * [backup-simplify]: Simplify 0 into 0
0.954 * [backup-simplify]: Simplify 1 into 1
0.954 * [backup-simplify]: Simplify (* 1 1) into 1
0.954 * [backup-simplify]: Simplify (/ 1 1) into 1
0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.955 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.955 * [taylor]: Taking taylor expansion of x in y
0.955 * [backup-simplify]: Simplify x into x
0.955 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.955 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.955 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.955 * [backup-simplify]: Simplify (+ 1 0) into 1
0.955 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
0.955 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.956 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
0.956 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.956 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.956 * [taylor]: Taking taylor expansion of y in y
0.956 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify 1 into 1
0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.956 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.956 * [taylor]: Taking taylor expansion of y in y
0.956 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify 1 into 1
0.956 * [backup-simplify]: Simplify (* 1 1) into 1
0.957 * [backup-simplify]: Simplify (/ 1 1) into 1
0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.957 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.957 * [taylor]: Taking taylor expansion of x in y
0.957 * [backup-simplify]: Simplify x into x
0.957 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.957 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.957 * [backup-simplify]: Simplify (* 1 1) into 1
0.958 * [backup-simplify]: Simplify (+ 1 0) into 1
0.958 * [backup-simplify]: Simplify (* 1 1) into 1
0.959 * [backup-simplify]: Simplify (/ 1 1) into 1
0.959 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
0.959 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
0.959 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.959 * [taylor]: Taking taylor expansion of x in x
0.959 * [backup-simplify]: Simplify 0 into 0
0.959 * [backup-simplify]: Simplify 1 into 1
0.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.959 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.959 * [taylor]: Taking taylor expansion of y in x
0.959 * [backup-simplify]: Simplify y into y
0.959 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.959 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.959 * [taylor]: Taking taylor expansion of x in x
0.959 * [backup-simplify]: Simplify 0 into 0
0.959 * [backup-simplify]: Simplify 1 into 1
0.960 * [backup-simplify]: Simplify (* 1 1) into 1
0.960 * [backup-simplify]: Simplify (/ 1 1) into 1
0.961 * [backup-simplify]: Simplify (* 1 1) into 1
0.961 * [backup-simplify]: Simplify (+ 0 1) into 1
0.962 * [backup-simplify]: Simplify (* 1 1) into 1
0.962 * [backup-simplify]: Simplify (/ 1 1) into 1
0.962 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
0.962 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.962 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.962 * [taylor]: Taking taylor expansion of y in x
0.962 * [backup-simplify]: Simplify y into y
0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.962 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.962 * [taylor]: Taking taylor expansion of y in x
0.962 * [backup-simplify]: Simplify y into y
0.962 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.962 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.962 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.963 * [taylor]: Taking taylor expansion of x in x
0.963 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify 1 into 1
0.963 * [backup-simplify]: Simplify (* 1 1) into 1
0.963 * [backup-simplify]: Simplify (/ 1 1) into 1
0.963 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.964 * [backup-simplify]: Simplify (+ 0 1) into 1
0.964 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
0.964 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.964 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
0.964 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
0.964 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.964 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.964 * [taylor]: Taking taylor expansion of x in x
0.964 * [backup-simplify]: Simplify 0 into 0
0.964 * [backup-simplify]: Simplify 1 into 1
0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.964 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.964 * [taylor]: Taking taylor expansion of y in x
0.964 * [backup-simplify]: Simplify y into y
0.965 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.965 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.965 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.965 * [taylor]: Taking taylor expansion of x in x
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [backup-simplify]: Simplify 1 into 1
0.965 * [backup-simplify]: Simplify (* 1 1) into 1
0.966 * [backup-simplify]: Simplify (/ 1 1) into 1
0.966 * [backup-simplify]: Simplify (* 1 1) into 1
0.966 * [backup-simplify]: Simplify (+ 0 1) into 1
0.967 * [backup-simplify]: Simplify (* 1 1) into 1
0.967 * [backup-simplify]: Simplify (/ 1 1) into 1
0.967 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
0.967 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.967 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.967 * [taylor]: Taking taylor expansion of y in x
0.967 * [backup-simplify]: Simplify y into y
0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.967 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.967 * [taylor]: Taking taylor expansion of y in x
0.967 * [backup-simplify]: Simplify y into y
0.968 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.968 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.968 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.968 * [taylor]: Taking taylor expansion of x in x
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [backup-simplify]: Simplify 1 into 1
0.968 * [backup-simplify]: Simplify (* 1 1) into 1
0.969 * [backup-simplify]: Simplify (/ 1 1) into 1
0.969 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.969 * [backup-simplify]: Simplify (+ 0 1) into 1
0.969 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
0.969 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.970 * [backup-simplify]: Simplify (+ 1 0) into 1
0.970 * [taylor]: Taking taylor expansion of 1 in y
0.970 * [backup-simplify]: Simplify 1 into 1
0.970 * [backup-simplify]: Simplify 1 into 1
0.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.972 * [backup-simplify]: Simplify (+ 0 0) into 0
0.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.975 * [backup-simplify]: Simplify (+ 0 0) into 0
0.975 * [taylor]: Taking taylor expansion of 0 in y
0.975 * [backup-simplify]: Simplify 0 into 0
0.975 * [backup-simplify]: Simplify 0 into 0
0.975 * [backup-simplify]: Simplify 0 into 0
0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.977 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.979 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
0.979 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
0.980 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
0.980 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
0.980 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
0.980 * [taylor]: Taking taylor expansion of 2 in y
0.980 * [backup-simplify]: Simplify 2 into 2
0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.980 * [taylor]: Taking taylor expansion of y in y
0.980 * [backup-simplify]: Simplify 0 into 0
0.980 * [backup-simplify]: Simplify 1 into 1
0.980 * [backup-simplify]: Simplify (* 1 1) into 1
0.981 * [backup-simplify]: Simplify (/ 1 1) into 1
0.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.985 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
0.985 * [backup-simplify]: Simplify (- 0) into 0
0.985 * [backup-simplify]: Simplify 0 into 0
0.985 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.988 * [backup-simplify]: Simplify (+ 0 0) into 0
0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
0.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.993 * [backup-simplify]: Simplify (+ 0 0) into 0
0.993 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.994 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0
0.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.994 * [backup-simplify]: Simplify (- 0) into 0
0.994 * [backup-simplify]: Simplify (+ 0 0) into 0
0.994 * [taylor]: Taking taylor expansion of 0 in y
0.995 * [backup-simplify]: Simplify 0 into 0
0.995 * [backup-simplify]: Simplify 0 into 0
0.995 * [backup-simplify]: Simplify 1 into 1
0.995 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))))
0.995 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0
0.995 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y
0.995 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
0.995 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.995 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.995 * [taylor]: Taking taylor expansion of x in y
0.995 * [backup-simplify]: Simplify x into x
0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.995 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.995 * [taylor]: Taking taylor expansion of y in y
0.995 * [backup-simplify]: Simplify 0 into 0
0.995 * [backup-simplify]: Simplify 1 into 1
0.995 * [backup-simplify]: Simplify (* 1 1) into 1
0.996 * [backup-simplify]: Simplify (/ 1 1) into 1
0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.996 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.996 * [taylor]: Taking taylor expansion of x in y
0.996 * [backup-simplify]: Simplify x into x
0.996 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.996 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.996 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.996 * [backup-simplify]: Simplify (+ 1 0) into 1
0.996 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
0.996 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.996 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
0.996 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.996 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.996 * [taylor]: Taking taylor expansion of y in y
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify 1 into 1
0.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.996 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.996 * [taylor]: Taking taylor expansion of y in y
0.996 * [backup-simplify]: Simplify 0 into 0
0.997 * [backup-simplify]: Simplify 1 into 1
0.997 * [backup-simplify]: Simplify (* 1 1) into 1
0.997 * [backup-simplify]: Simplify (/ 1 1) into 1
0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.997 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.997 * [taylor]: Taking taylor expansion of x in y
0.997 * [backup-simplify]: Simplify x into x
0.997 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.997 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.997 * [backup-simplify]: Simplify (* 1 1) into 1
0.998 * [backup-simplify]: Simplify (+ 1 0) into 1
0.998 * [backup-simplify]: Simplify (* 1 1) into 1
0.998 * [backup-simplify]: Simplify (/ 1 1) into 1
0.998 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
0.998 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
0.998 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.998 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.998 * [taylor]: Taking taylor expansion of x in x
0.998 * [backup-simplify]: Simplify 0 into 0
0.998 * [backup-simplify]: Simplify 1 into 1
0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.998 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.998 * [taylor]: Taking taylor expansion of y in x
0.998 * [backup-simplify]: Simplify y into y
0.998 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.999 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.999 * [taylor]: Taking taylor expansion of x in x
0.999 * [backup-simplify]: Simplify 0 into 0
0.999 * [backup-simplify]: Simplify 1 into 1
0.999 * [backup-simplify]: Simplify (* 1 1) into 1
0.999 * [backup-simplify]: Simplify (/ 1 1) into 1
0.999 * [backup-simplify]: Simplify (* 1 1) into 1
1.000 * [backup-simplify]: Simplify (+ 0 1) into 1
1.000 * [backup-simplify]: Simplify (* 1 1) into 1
1.000 * [backup-simplify]: Simplify (/ 1 1) into 1
1.000 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
1.000 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.000 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.000 * [taylor]: Taking taylor expansion of y in x
1.000 * [backup-simplify]: Simplify y into y
1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.000 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.000 * [taylor]: Taking taylor expansion of y in x
1.000 * [backup-simplify]: Simplify y into y
1.001 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.001 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.001 * [taylor]: Taking taylor expansion of x in x
1.001 * [backup-simplify]: Simplify 0 into 0
1.001 * [backup-simplify]: Simplify 1 into 1
1.001 * [backup-simplify]: Simplify (* 1 1) into 1
1.001 * [backup-simplify]: Simplify (/ 1 1) into 1
1.001 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.002 * [backup-simplify]: Simplify (+ 0 1) into 1
1.002 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
1.002 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.002 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
1.002 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
1.002 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.002 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.002 * [taylor]: Taking taylor expansion of x in x
1.002 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify 1 into 1
1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.002 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.002 * [taylor]: Taking taylor expansion of y in x
1.002 * [backup-simplify]: Simplify y into y
1.002 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.002 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.002 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.002 * [taylor]: Taking taylor expansion of x in x
1.002 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify 1 into 1
1.002 * [backup-simplify]: Simplify (* 1 1) into 1
1.003 * [backup-simplify]: Simplify (/ 1 1) into 1
1.003 * [backup-simplify]: Simplify (* 1 1) into 1
1.003 * [backup-simplify]: Simplify (+ 0 1) into 1
1.003 * [backup-simplify]: Simplify (* 1 1) into 1
1.004 * [backup-simplify]: Simplify (/ 1 1) into 1
1.004 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
1.004 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.004 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.004 * [taylor]: Taking taylor expansion of y in x
1.004 * [backup-simplify]: Simplify y into y
1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.004 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.004 * [taylor]: Taking taylor expansion of y in x
1.004 * [backup-simplify]: Simplify y into y
1.004 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.004 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.004 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.004 * [taylor]: Taking taylor expansion of x in x
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 1 into 1
1.004 * [backup-simplify]: Simplify (* 1 1) into 1
1.004 * [backup-simplify]: Simplify (/ 1 1) into 1
1.004 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.005 * [backup-simplify]: Simplify (+ 0 1) into 1
1.005 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
1.005 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.005 * [backup-simplify]: Simplify (+ 1 0) into 1
1.005 * [taylor]: Taking taylor expansion of 1 in y
1.005 * [backup-simplify]: Simplify 1 into 1
1.005 * [backup-simplify]: Simplify 1 into 1
1.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.007 * [backup-simplify]: Simplify (+ 0 0) into 0
1.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.008 * [backup-simplify]: Simplify (+ 0 0) into 0
1.008 * [taylor]: Taking taylor expansion of 0 in y
1.008 * [backup-simplify]: Simplify 0 into 0
1.008 * [backup-simplify]: Simplify 0 into 0
1.008 * [backup-simplify]: Simplify 0 into 0
1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.011 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.012 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
1.013 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
1.013 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
1.013 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
1.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
1.013 * [taylor]: Taking taylor expansion of 2 in y
1.013 * [backup-simplify]: Simplify 2 into 2
1.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.013 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.013 * [taylor]: Taking taylor expansion of y in y
1.013 * [backup-simplify]: Simplify 0 into 0
1.013 * [backup-simplify]: Simplify 1 into 1
1.013 * [backup-simplify]: Simplify (* 1 1) into 1
1.014 * [backup-simplify]: Simplify (/ 1 1) into 1
1.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.016 * [backup-simplify]: Simplify (- 0) into 0
1.016 * [backup-simplify]: Simplify 0 into 0
1.016 * [backup-simplify]: Simplify 0 into 0
1.016 * [backup-simplify]: Simplify 0 into 0
1.016 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.018 * [backup-simplify]: Simplify (+ 0 0) into 0
1.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
1.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
1.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.021 * [backup-simplify]: Simplify (+ 0 0) into 0
1.021 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.022 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0
1.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.022 * [backup-simplify]: Simplify (- 0) into 0
1.022 * [backup-simplify]: Simplify (+ 0 0) into 0
1.022 * [taylor]: Taking taylor expansion of 0 in y
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 1 into 1
1.023 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
1.023 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
1.023 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
1.023 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.023 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.023 * [taylor]: Taking taylor expansion of y in y
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify 1 into 1
1.023 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.023 * [taylor]: Taking taylor expansion of x in y
1.023 * [backup-simplify]: Simplify x into x
1.023 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.023 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.023 * [taylor]: Taking taylor expansion of y in x
1.023 * [backup-simplify]: Simplify y into y
1.023 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.023 * [taylor]: Taking taylor expansion of x in x
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify 1 into 1
1.023 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.023 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.023 * [taylor]: Taking taylor expansion of y in x
1.023 * [backup-simplify]: Simplify y into y
1.023 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.023 * [taylor]: Taking taylor expansion of x in x
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify 1 into 1
1.023 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.024 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.024 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.024 * [taylor]: Taking taylor expansion of y in y
1.024 * [backup-simplify]: Simplify 0 into 0
1.024 * [backup-simplify]: Simplify 1 into 1
1.024 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.024 * [backup-simplify]: Simplify (+ 0 0) into 0
1.024 * [taylor]: Taking taylor expansion of 0 in y
1.024 * [backup-simplify]: Simplify 0 into 0
1.024 * [backup-simplify]: Simplify 0 into 0
1.025 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.025 * [backup-simplify]: Simplify (* 1 1) into 1
1.026 * [backup-simplify]: Simplify (+ 0 1) into 1
1.026 * [taylor]: Taking taylor expansion of 1 in y
1.026 * [backup-simplify]: Simplify 1 into 1
1.026 * [backup-simplify]: Simplify 1 into 1
1.026 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify (* 1 1) into 1
1.026 * [backup-simplify]: Simplify 1 into 1
1.027 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.028 * [backup-simplify]: Simplify (+ 0 0) into 0
1.028 * [taylor]: Taking taylor expansion of 0 in y
1.028 * [backup-simplify]: Simplify 0 into 0
1.028 * [backup-simplify]: Simplify 0 into 0
1.028 * [backup-simplify]: Simplify 0 into 0
1.028 * [backup-simplify]: Simplify 0 into 0
1.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.029 * [backup-simplify]: Simplify 0 into 0
1.030 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.031 * [backup-simplify]: Simplify (+ 0 0) into 0
1.031 * [taylor]: Taking taylor expansion of 0 in y
1.031 * [backup-simplify]: Simplify 0 into 0
1.031 * [backup-simplify]: Simplify 0 into 0
1.032 * [backup-simplify]: Simplify 0 into 0
1.032 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
1.032 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.032 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.032 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.032 * [taylor]: Taking taylor expansion of y in y
1.032 * [backup-simplify]: Simplify 0 into 0
1.032 * [backup-simplify]: Simplify 1 into 1
1.033 * [backup-simplify]: Simplify (* 1 1) into 1
1.033 * [backup-simplify]: Simplify (/ 1 1) into 1
1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.033 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.033 * [taylor]: Taking taylor expansion of x in y
1.033 * [backup-simplify]: Simplify x into x
1.033 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.033 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.033 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.033 * [taylor]: Taking taylor expansion of y in x
1.033 * [backup-simplify]: Simplify y into y
1.033 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.033 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.034 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.034 * [taylor]: Taking taylor expansion of x in x
1.034 * [backup-simplify]: Simplify 0 into 0
1.034 * [backup-simplify]: Simplify 1 into 1
1.034 * [backup-simplify]: Simplify (* 1 1) into 1
1.034 * [backup-simplify]: Simplify (/ 1 1) into 1
1.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.034 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.034 * [taylor]: Taking taylor expansion of y in x
1.034 * [backup-simplify]: Simplify y into y
1.034 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.034 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.034 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.034 * [taylor]: Taking taylor expansion of x in x
1.034 * [backup-simplify]: Simplify 0 into 0
1.034 * [backup-simplify]: Simplify 1 into 1
1.035 * [backup-simplify]: Simplify (* 1 1) into 1
1.035 * [backup-simplify]: Simplify (/ 1 1) into 1
1.035 * [backup-simplify]: Simplify (+ 0 1) into 1
1.035 * [taylor]: Taking taylor expansion of 1 in y
1.035 * [backup-simplify]: Simplify 1 into 1
1.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.036 * [backup-simplify]: Simplify (+ 0 0) into 0
1.036 * [taylor]: Taking taylor expansion of 0 in y
1.036 * [backup-simplify]: Simplify 0 into 0
1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.038 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.038 * [taylor]: Taking taylor expansion of y in y
1.038 * [backup-simplify]: Simplify 0 into 0
1.038 * [backup-simplify]: Simplify 1 into 1
1.038 * [backup-simplify]: Simplify (* 1 1) into 1
1.038 * [backup-simplify]: Simplify (/ 1 1) into 1
1.038 * [backup-simplify]: Simplify 1 into 1
1.038 * [backup-simplify]: Simplify 1 into 1
1.038 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.040 * [backup-simplify]: Simplify (+ 0 0) into 0
1.040 * [taylor]: Taking taylor expansion of 0 in y
1.040 * [backup-simplify]: Simplify 0 into 0
1.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.041 * [backup-simplify]: Simplify 0 into 0
1.041 * [backup-simplify]: Simplify 0 into 0
1.041 * [backup-simplify]: Simplify 0 into 0
1.041 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.043 * [backup-simplify]: Simplify (+ 0 0) into 0
1.043 * [taylor]: Taking taylor expansion of 0 in y
1.043 * [backup-simplify]: Simplify 0 into 0
1.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.045 * [backup-simplify]: Simplify 0 into 0
1.045 * [backup-simplify]: Simplify 0 into 0
1.045 * [backup-simplify]: Simplify 0 into 0
1.045 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
1.045 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.045 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.045 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.045 * [taylor]: Taking taylor expansion of y in y
1.045 * [backup-simplify]: Simplify 0 into 0
1.045 * [backup-simplify]: Simplify 1 into 1
1.046 * [backup-simplify]: Simplify (* 1 1) into 1
1.046 * [backup-simplify]: Simplify (/ 1 1) into 1
1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.046 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.046 * [taylor]: Taking taylor expansion of x in y
1.046 * [backup-simplify]: Simplify x into x
1.046 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.046 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.046 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.046 * [taylor]: Taking taylor expansion of y in x
1.046 * [backup-simplify]: Simplify y into y
1.046 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.046 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.046 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.046 * [taylor]: Taking taylor expansion of x in x
1.046 * [backup-simplify]: Simplify 0 into 0
1.046 * [backup-simplify]: Simplify 1 into 1
1.047 * [backup-simplify]: Simplify (* 1 1) into 1
1.047 * [backup-simplify]: Simplify (/ 1 1) into 1
1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.047 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.047 * [taylor]: Taking taylor expansion of y in x
1.047 * [backup-simplify]: Simplify y into y
1.047 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.047 * [taylor]: Taking taylor expansion of x in x
1.047 * [backup-simplify]: Simplify 0 into 0
1.047 * [backup-simplify]: Simplify 1 into 1
1.047 * [backup-simplify]: Simplify (* 1 1) into 1
1.048 * [backup-simplify]: Simplify (/ 1 1) into 1
1.048 * [backup-simplify]: Simplify (+ 0 1) into 1
1.048 * [taylor]: Taking taylor expansion of 1 in y
1.048 * [backup-simplify]: Simplify 1 into 1
1.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.049 * [backup-simplify]: Simplify (+ 0 0) into 0
1.049 * [taylor]: Taking taylor expansion of 0 in y
1.049 * [backup-simplify]: Simplify 0 into 0
1.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.050 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.050 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.050 * [taylor]: Taking taylor expansion of y in y
1.050 * [backup-simplify]: Simplify 0 into 0
1.050 * [backup-simplify]: Simplify 1 into 1
1.051 * [backup-simplify]: Simplify (* 1 1) into 1
1.051 * [backup-simplify]: Simplify (/ 1 1) into 1
1.051 * [backup-simplify]: Simplify 1 into 1
1.051 * [backup-simplify]: Simplify 1 into 1
1.051 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.053 * [backup-simplify]: Simplify (+ 0 0) into 0
1.053 * [taylor]: Taking taylor expansion of 0 in y
1.053 * [backup-simplify]: Simplify 0 into 0
1.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.054 * [backup-simplify]: Simplify 0 into 0
1.054 * [backup-simplify]: Simplify 0 into 0
1.054 * [backup-simplify]: Simplify 0 into 0
1.054 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.056 * [backup-simplify]: Simplify (+ 0 0) into 0
1.056 * [taylor]: Taking taylor expansion of 0 in y
1.056 * [backup-simplify]: Simplify 0 into 0
1.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.057 * [backup-simplify]: Simplify 0 into 0
1.057 * [backup-simplify]: Simplify 0 into 0
1.057 * [backup-simplify]: Simplify 0 into 0
1.057 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
1.057 * * * [progress]: simplifying candidates
1.057 * * * * [progress]: [ 1 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (pow (/ (* y y) (+ (* x x) (* y y))) 1)))>
1.057 * * * * [progress]: [ 2 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (exp (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))))))>
1.057 * * * * [progress]: [ 3 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (exp (- (log (* y y)) (log (+ (* x x) (* y y)))))))>
1.057 * * * * [progress]: [ 4 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (exp (log (/ (* y y) (+ (* x x) (* y y)))))))>
1.058 * * * * [progress]: [ 5 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))))>
1.058 * * * * [progress]: [ 6 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (cbrt (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))>
1.058 * * * * [progress]: [ 7 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (cbrt (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))>
1.058 * * * * [progress]: [ 8 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))))>
1.058 * * * * [progress]: [ 9 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (cbrt (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.058 * * * * [progress]: [ 10 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
1.058 * * * * [progress]: [ 11 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (- (* y y)) (- (+ (* x x) (* y y))))))>
1.058 * * * * [progress]: [ 12 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))))))>
1.058 * * * * [progress]: [ 13 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>
1.058 * * * * [progress]: [ 14 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y 1) (/ y (+ (* x x) (* y y))))))>
1.058 * * * * [progress]: [ 15 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* 1 (/ (* y y) (+ (* x x) (* y y))))))>
1.058 * * * * [progress]: [ 16 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (* y y) (/ 1 (+ (* x x) (* y y))))))>
1.058 * * * * [progress]: [ 17 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ 1 (/ (+ (* x x) (* y y)) (* y y)))))>
1.058 * * * * [progress]: [ 18 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y))))))>
1.058 * * * * [progress]: [ 19 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (/ (* y y) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))>
1.058 * * * * [progress]: [ 20 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (/ (* y y) 1) (+ (* x x) (* y y)))))>
1.058 * * * * [progress]: [ 21 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ y (/ (+ (* x x) (* y y)) y))))>
1.058 * * * * [progress]: [ 22 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))>
1.058 * * * * [progress]: [ 23 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y)))))>
1.058 * * * * [progress]: [ 24 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (posit16->real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))))>
1.058 * * * * [progress]: [ 25 / 95 ] simplifiying candidate #<alt (λ (x y) (- (pow (/ (* x x) (+ (* x x) (* y y))) 1) (/ (* y y) (+ (* x x) (* y y)))))>
1.058 * * * * [progress]: [ 26 / 95 ] simplifiying candidate #<alt (λ (x y) (- (exp (- (+ (log x) (log x)) (log (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.058 * * * * [progress]: [ 27 / 95 ] simplifiying candidate #<alt (λ (x y) (- (exp (- (log (* x x)) (log (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 28 / 95 ] simplifiying candidate #<alt (λ (x y) (- (exp (log (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 29 / 95 ] simplifiying candidate #<alt (λ (x y) (- (log (exp (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 30 / 95 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 31 / 95 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 32 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 33 / 95 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 34 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 35 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (- (* x x)) (- (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 36 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 37 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 38 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x 1) (/ x (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 39 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* 1 (/ (* x x) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 40 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (* x x) (/ 1 (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 41 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 42 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 43 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 44 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) 1) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 45 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ x (/ (+ (* x x) (* y y)) x)) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 46 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 47 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 48 / 95 ] simplifiying candidate #<alt (λ (x y) (- (posit16->real (real->posit16 (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.059 * * * * [progress]: [ 49 / 95 ] simplifiying candidate #<alt (λ (x y) (log (/ (exp (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))))))>
1.059 * * * * [progress]: [ 50 / 95 ] simplifiying candidate #<alt (λ (x y) (pow (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) 1))>
1.060 * * * * [progress]: [ 51 / 95 ] simplifiying candidate #<alt (λ (x y) (exp (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.060 * * * * [progress]: [ 52 / 95 ] simplifiying candidate #<alt (λ (x y) (log (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.060 * * * * [progress]: [ 53 / 95 ] simplifiying candidate #<alt (λ (x y) (* (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.060 * * * * [progress]: [ 54 / 95 ] simplifiying candidate #<alt (λ (x y) (cbrt (* (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.060 * * * * [progress]: [ 55 / 95 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.060 * * * * [progress]: [ 56 / 95 ] simplifiying candidate #<alt (λ (x y) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))>
1.060 * * * * [progress]: [ 57 / 95 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* x x) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))))>
1.060 * * * * [progress]: [ 58 / 95 ] simplifiying candidate #<alt (λ (x y) (/ (- (pow (/ (* x x) (+ (* x x) (* y y))) 3) (pow (/ (* y y) (+ (* x x) (* y y))) 3)) (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))))>
1.060 * * * * [progress]: [ 59 / 95 ] simplifiying candidate #<alt (λ (x y) (+ (/ (* x x) (+ (* x x) (* y y))) (- (/ (* y y) (+ (* x x) (* y y))))))>
1.060 * * * * [progress]: [ 60 / 95 ] simplifiying candidate #<alt (λ (x y) (* 1 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))>
1.060 * * * * [progress]: [ 61 / 95 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))>
1.060 * * * * [progress]: [ 62 / 95 ] simplifiying candidate #<alt (λ (x y) (* (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
1.060 * * * * [progress]: [ 63 / 95 ] simplifiying candidate #<alt (λ (x y) (* (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>
1.060 * * * * [progress]: [ 64 / 95 ] simplifiying candidate #<alt (λ (x y) (* (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
1.060 * * * * [progress]: [ 65 / 95 ] simplifiying candidate #<alt (λ (x y) (* (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>
1.060 * * * * [progress]: [ 66 / 95 ] simplifiying candidate #<alt (λ (x y) (* 1 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))>
1.060 * * * * [progress]: [ 67 / 95 ] simplifiying candidate #<alt (λ (x y) (* (/ 1 (+ (* x x) (* y y))) (- (* x x) (* y y))))>
1.060 * * * * [progress]: [ 68 / 95 ] simplifiying candidate #<alt (λ (x y) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))))))>
1.060 * * * * [progress]: [ 69 / 95 ] simplifiying candidate #<alt (λ (x y) (* (- (* x x) (* y y)) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))))))>
1.060 * * * * [progress]: [ 70 / 95 ] simplifiying candidate #<alt (λ (x y) (+ (/ (* x x) (+ (* x x) (* y y))) (- (/ (* y y) (+ (* x x) (* y y))))))>
1.060 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.060 * * * * [progress]: [ 72 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (log (* (exp (* x x)) (exp (* y y)))))))>
1.060 * * * * [progress]: [ 73 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (pow (+ (* x x) (* y y)) 1))))>
1.061 * * * * [progress]: [ 74 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (exp (log (+ (* x x) (* y y)))))))>
1.061 * * * * [progress]: [ 75 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (log (exp (+ (* x x) (* y y)))))))>
1.061 * * * * [progress]: [ 76 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))))>
1.061 * * * * [progress]: [ 77 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (cbrt (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))>
1.061 * * * * [progress]: [ 78 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))))>
1.061 * * * * [progress]: [ 79 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))))>
1.061 * * * * [progress]: [ 80 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (* 1 (+ (* x x) (* y y))))))>
1.061 * * * * [progress]: [ 81 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))))>
1.061 * * * * [progress]: [ 82 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (posit16->real (real->posit16 (+ (* x x) (* y y)))))))>
1.061 * * * * [progress]: [ 83 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))))>
1.061 * * * * [progress]: [ 84 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) 0))>
1.061 * * * * [progress]: [ 85 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) 0))>
1.061 * * * * [progress]: [ 86 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) 0))>
1.061 * * * * [progress]: [ 87 / 95 ] simplifiying candidate #<alt (λ (x y) (- 0 (/ (* y y) (+ (* x x) (* y y)))))>
1.061 * * * * [progress]: [ 88 / 95 ] simplifiying candidate #<alt (λ (x y) (- 0 (/ (* y y) (+ (* x x) (* y y)))))>
1.061 * * * * [progress]: [ 89 / 95 ] simplifiying candidate #<alt (λ (x y) (- 0 (/ (* y y) (+ (* x x) (* y y)))))>
1.061 * * * * [progress]: [ 90 / 95 ] simplifiying candidate #<alt (λ (x y) -1)>
1.061 * * * * [progress]: [ 91 / 95 ] simplifiying candidate #<alt (λ (x y) 1)>
1.061 * * * * [progress]: [ 92 / 95 ] simplifiying candidate #<alt (λ (x y) 1)>
1.061 * * * * [progress]: [ 93 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (pow y 2) (pow x 2)))))>
1.061 * * * * [progress]: [ 94 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (pow y 2) (pow x 2)))))>
1.061 * * * * [progress]: [ 95 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (pow y 2) (pow x 2)))))>
1.062 * [simplify]: Simplifying (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))), (- (log (* y y)) (log (+ (* x x) (* y y)))), (log (/ (* y y) (+ (* x x) (* y y)))), (exp (/ (* y y) (+ (* x x) (* y y)))), (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))), (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))), (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))), (cbrt (/ (* y y) (+ (* x x) (* y y)))), (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))), (sqrt (/ (* y y) (+ (* x x) (* y y)))), (sqrt (/ (* y y) (+ (* x x) (* y y)))), (- (* y y)), (- (+ (* x x) (* y y))), (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))), (/ y (cbrt (+ (* x x) (* y y)))), (/ y (sqrt (+ (* x x) (* y y)))), (/ y (sqrt (+ (* x x) (* y y)))), (/ y 1), (/ y (+ (* x x) (* y y))), (/ 1 (+ (* x x) (* y y))), (/ (+ (* x x) (* y y)) (* y y)), (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))), (/ (* y y) (sqrt (+ (* x x) (* y y)))), (/ (* y y) 1), (/ (+ (* x x) (* y y)) y), (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))), (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))), (real->posit16 (/ (* y y) (+ (* x x) (* y y)))), (- (+ (log x) (log x)) (log (+ (* x x) (* y y)))), (- (log (* x x)) (log (+ (* x x) (* y y)))), (log (/ (* x x) (+ (* x x) (* y y)))), (exp (/ (* x x) (+ (* x x) (* y y)))), (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))), (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))), (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))), (cbrt (/ (* x x) (+ (* x x) (* y y)))), (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))), (sqrt (/ (* x x) (+ (* x x) (* y y)))), (sqrt (/ (* x x) 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x) (* y y)))))), (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))), (* (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))), (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))), (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))), (- (* x x) (* y y)), (- (* (* x x) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* y y))), (* (+ (* x x) (* y y)) (+ (* x x) (* y y))), (- (pow (/ (* x x) (+ (* x x) (* y y))) 3) (pow (/ (* y y) (+ (* x x) (* y y))) 3)), (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))), (- (/ (* y y) (+ (* x x) (* y y)))), (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))), (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))), (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))), (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))), (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))), (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))), (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))), (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))), (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))), (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))), (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))), (- (* x x) (* y y)), (- (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))), (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))), (- (/ (* y y) (+ (* x x) (* y y)))), (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))), (* (exp (* x x)) (exp (* y y))), (log (+ (* x x) (* y y))), (exp (+ (* x x) (* y y))), (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))), (cbrt (+ (* x x) (* y y))), (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))), (sqrt (+ (* x x) (* y y))), (sqrt (+ (* x x) (* y y))), (+ (pow (* x x) 3) (pow (* y y) 3)), (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))), (- (* (* x x) (* x x)) (* (* y y) (* y y))), (- (* x x) (* y y)), (real->posit16 (+ (* x x) (* y y))), 0, 0, 0, 0, 0, 0, -1, 1, 1, (+ (pow y 2) (pow x 2)), (+ (pow y 2) (pow x 2)), (+ (pow y 2) (pow x 2))
1.063 * * [simplify]: iteration 1: (132 enodes)
1.116 * * [simplify]: iteration 2: (585 enodes)
1.318 * * [simplify]: Extracting #0: cost 82 inf + 0
1.319 * * [simplify]: Extracting #1: cost 313 inf + 87
1.322 * * [simplify]: Extracting #2: cost 391 inf + 13574
1.334 * * [simplify]: Extracting #3: cost 151 inf + 67634
1.355 * * [simplify]: Extracting #4: cost 22 inf + 98589
1.379 * * [simplify]: Extracting #5: cost 0 inf + 105816
1.404 * [simplify]: Simplified to (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (exp (/ (* y y) (+ (* y y) (* x x)))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))), (cbrt (/ (* y y) (+ (* y y) (* x x)))), (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (- (* y y)), (- (+ (* y y) (* x x))), (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))), (/ y (cbrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), y, (/ y (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* y 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(* x x)))), (- (* x x)), (- (+ (* y y) (* x x))), (/ (/ x (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))), (/ x (cbrt (+ (* y y) (* x x)))), (/ x (sqrt (+ (* y y) (* x x)))), (/ x (sqrt (+ (* y y) (* x x)))), x, (/ x (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* x x)), (/ (* x x) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))), (/ (* x x) (sqrt (+ (* y y) (* x x)))), (* x x), (/ (+ (* y y) (* x x)) x), (/ (* x x) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))), (/ (* x x) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))), (real->posit16 (/ (* x x) (+ (* y y) (* x x)))), (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (log (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (* (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ 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(- (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))), (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (+ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x))))), (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))), (+ (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (- (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))), (+ (/ y (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x))))), (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))), (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))), (- (* x x) (* y y)), (- (/ (* x x) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))) (/ (* y y) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x))))), (- (/ (* x x) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (/ (* y y) (* (+ (* x x) (* y y)) (- (* x x) (* y y))))), (- (/ (* y y) (+ (* y y) (* x x)))), (real->posit16 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))), (exp (+ (* x x) (* y y))), (log (+ (* y y) (* x x))), (exp (+ (* x x) (* y y))), (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))), (cbrt (+ (* y y) (* x x))), (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))), (sqrt (+ (* y y) (* x x))), (sqrt (+ (* y y) (* x x))), (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x))), (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))), (* (+ (* x x) (* y y)) (- (* x x) (* y y))), (- (* x x) (* y y)), (real->posit16 (+ (* y y) (* x x))), 0, 0, 0, 0, 0, 0, -1, 1, 1, (+ (* y y) (* x x)), (+ (* y y) (* x x)), (+ (* y y) (* x x))
1.405 * * * * [progress]: [ 1 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (pow (/ (* y y) (+ (* x x) (* y y))) 1)))>
1.405 * * * * [progress]: [ 2 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (exp (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))))))>
1.405 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (exp (log (/ (* y y) (+ (* y y) (* x x)))))))
1.405 * * * * [progress]: [ 3 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (exp (- (log (* y y)) (log (+ (* x x) (* y y)))))))>
1.405 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (exp (log (/ (* y y) (+ (* y y) (* x x)))))))
1.405 * * * * [progress]: [ 4 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (exp (log (/ (* y y) (+ (* x x) (* y y)))))))>
1.405 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (exp (log (/ (* y y) (+ (* y y) (* x x)))))))
1.405 * * * * [progress]: [ 5 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))))>
1.405 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (log (exp (/ (* y y) (+ (* y y) (* x x)))))))
1.405 * * * * [progress]: [ 6 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (cbrt (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))>
1.405 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (cbrt (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))))
1.405 * * * * [progress]: [ 7 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (cbrt (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))>
1.405 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (cbrt (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))))
1.406 * * * * [progress]: [ 8 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))))>
1.406 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))))
1.406 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))))
1.406 * * * * [progress]: [ 9 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (cbrt (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.406 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (cbrt (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))))
1.406 * * * * [progress]: [ 10 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
1.406 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
1.406 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))))
1.406 * * * * [progress]: [ 11 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (- (* y y)) (- (+ (* x x) (* y y))))))>
1.406 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (- (* y y)) (- (+ (* x x) (* y y))))))
1.406 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (- (* y y)) (- (+ (* y y) (* x x))))))
1.406 * * * * [progress]: [ 12 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))))))>
1.406 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* x x) (* y y)))))))
1.407 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* y y) (* x x)))))))
1.407 * * * * [progress]: [ 13 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>
1.407 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* x x) (* y y)))))))
1.407 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* y y) (* x x)))))))
1.407 * * * * [progress]: [ 14 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y 1) (/ y (+ (* x x) (* y y))))))>
1.407 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* y (/ y (+ (* x x) (* y y))))))
1.407 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* y (/ y (+ (* y y) (* x x))))))
1.407 * * * * [progress]: [ 15 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* 1 (/ (* y y) (+ (* x x) (* y y))))))>
1.407 * * * * [progress]: [ 16 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (* y y) (/ 1 (+ (* x x) (* y y))))))>
1.407 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (* y y) (/ 1 (+ (* y y) (* x x))))))
1.407 * * * * [progress]: [ 17 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ 1 (/ (+ (* x x) (* y y)) (* y y)))))>
1.407 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ 1 (/ (+ (* y y) (* x x)) (* y y)))))
1.407 * * * * [progress]: [ 18 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y))))))>
1.407 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x))))) (cbrt (+ (* x x) (* y y))))))
1.407 * * * * [progress]: [ 19 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (/ (* y y) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))>
1.407 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (/ (* y y) (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* x x) (* y y))))))
1.407 * * * * [progress]: [ 20 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (/ (* y y) 1) (+ (* x x) (* y y)))))>
1.408 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
1.408 * * * * [progress]: [ 21 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ y (/ (+ (* x x) (* y y)) y))))>
1.408 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ y (/ (+ (* y y) (* x x)) y))))
1.408 * * * * [progress]: [ 22 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))>
1.408 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ (* y y) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))
1.408 * * * * [progress]: [ 23 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y)))))>
1.408 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ (* y y) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (- (* x x) (* y y)))))
1.408 * * * * [progress]: [ 24 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (posit16->real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))))>
1.408 * [simplify]: Simplified (2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (posit16->real (real->posit16 (/ (* y y) (+ (* y y) (* x x)))))))
1.408 * * * * [progress]: [ 25 / 95 ] simplifiying candidate #<alt (λ (x y) (- (pow (/ (* x x) (+ (* x x) (* y y))) 1) (/ (* y y) (+ (* x x) (* y y)))))>
1.408 * * * * [progress]: [ 26 / 95 ] simplifiying candidate #<alt (λ (x y) (- (exp (- (+ (log x) (log x)) (log (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.408 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (exp (log (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.408 * * * * [progress]: [ 27 / 95 ] simplifiying candidate #<alt (λ (x y) (- (exp (- (log (* x x)) (log (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.408 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (exp (log (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.408 * * * * [progress]: [ 28 / 95 ] simplifiying candidate #<alt (λ (x y) (- (exp (log (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.408 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (exp (log (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.408 * * * * [progress]: [ 29 / 95 ] simplifiying candidate #<alt (λ (x y) (- (log (exp (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.408 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (log (exp (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.409 * * * * [progress]: [ 30 / 95 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.409 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (cbrt (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.409 * * * * [progress]: [ 31 / 95 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.409 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (cbrt (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.409 * * * * [progress]: [ 32 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.409 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x))))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))
1.409 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.409 * * * * [progress]: [ 33 / 95 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.409 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (cbrt (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.409 * * * * [progress]: [ 34 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.409 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))
1.409 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.409 * * * * [progress]: [ 35 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (- (* x x)) (- (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.409 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (/ (- (* x x)) (- (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))
1.409 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (/ (- (* x x)) (- (+ (* y y) (* x x)))) (/ (* y y) (+ (* x x) (* y y)))))
1.410 * * * * [progress]: [ 36 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.410 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (/ (/ x (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ x (cbrt (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))
1.410 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.410 * * * * [progress]: [ 37 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.410 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (/ x (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))
1.410 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.410 * * * * [progress]: [ 38 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x 1) (/ x (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.410 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* x (/ x (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))
1.410 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* x (/ x (+ (* y y) (* x x)))) (/ (* y y) (+ (* x x) (* y y)))))
1.410 * * * * [progress]: [ 39 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* 1 (/ (* x x) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.410 * * * * [progress]: [ 40 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (* x x) (/ 1 (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.410 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* (* x x) (/ 1 (+ (* y y) (* x x)))) (/ (* y y) (+ (* x x) (* y y)))))
1.410 * * * * [progress]: [ 41 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (/ (* y y) (+ (* x x) (* y y)))))>
1.410 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (/ 1 (/ (+ (* y y) (* x x)) (* x x))) (/ (* y y) (+ (* x x) (* y y)))))
1.410 * * * * [progress]: [ 42 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.410 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (/ (/ (* x x) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (cbrt (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))
1.411 * * * * [progress]: [ 43 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))>
1.411 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (/ (/ (* x x) (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))
1.411 * * * * [progress]: [ 44 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) 1) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))>
1.411 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
1.411 * * * * [progress]: [ 45 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ x (/ (+ (* x x) (* y y)) x)) (/ (* y y) (+ (* x x) (* y y)))))>
1.411 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (/ x (/ (+ (* y y) (* x x)) x)) (/ (* y y) (+ (* x x) (* y y)))))
1.411 * * * * [progress]: [ 46 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.411 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (/ (* x x) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))
1.411 * * * * [progress]: [ 47 / 95 ] simplifiying candidate #<alt (λ (x y) (- (* (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))>
1.411 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (/ (* x x) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (- (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
1.411 * * * * [progress]: [ 48 / 95 ] simplifiying candidate #<alt (λ (x y) (- (posit16->real (real->posit16 (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))>
1.411 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (posit16->real (real->posit16 (/ (* x x) (+ (* y y) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))
1.411 * * * * [progress]: [ 49 / 95 ] simplifiying candidate #<alt (λ (x y) (log (/ (exp (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))))))>
1.411 * [simplify]: Simplified (2 1) to (λ (x y) (log (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))))
1.411 * * * * [progress]: [ 50 / 95 ] simplifiying candidate #<alt (λ (x y) (pow (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) 1))>
1.412 * * * * [progress]: [ 51 / 95 ] simplifiying candidate #<alt (λ (x y) (exp (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.412 * [simplify]: Simplified (2 1) to (λ (x y) (exp (log (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))))
1.412 * * * * [progress]: [ 52 / 95 ] simplifiying candidate #<alt (λ (x y) (log (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.412 * [simplify]: Simplified (2 1) to (λ (x y) (log (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))))
1.412 * * * * [progress]: [ 53 / 95 ] simplifiying candidate #<alt (λ (x y) (* (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.412 * [simplify]: Simplified (2 1) to (λ (x y) (* (* (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))
1.412 * [simplify]: Simplified (2 2) to (λ (x y) (* (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))))
1.412 * * * * [progress]: [ 54 / 95 ] simplifiying candidate #<alt (λ (x y) (cbrt (* (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.412 * [simplify]: Simplified (2 1) to (λ (x y) (cbrt (* (* (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))))
1.412 * * * * [progress]: [ 55 / 95 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.412 * [simplify]: Simplified (2 1) to (λ (x y) (* (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))
1.413 * [simplify]: Simplified (2 2) to (λ (x y) (* (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))))
1.413 * * * * [progress]: [ 56 / 95 ] simplifiying candidate #<alt (λ (x y) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))>
1.413 * [simplify]: Simplified (2 1) to (λ (x y) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
1.413 * * * * [progress]: [ 57 / 95 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* x x) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))))>
1.413 * [simplify]: Simplified (2 1) to (λ (x y) (/ (* (+ (* y y) (* x x)) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))))
1.413 * [simplify]: Simplified (2 2) to (λ (x y) (/ (- (* (* x x) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* y y))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
1.413 * * * * [progress]: [ 58 / 95 ] simplifiying candidate #<alt (λ (x y) (/ (- (pow (/ (* x x) (+ (* x x) (* y y))) 3) (pow (/ (* y y) (+ (* x x) (* y y))) 3)) (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))))>
1.413 * [simplify]: Simplified (2 1) to (λ (x y) (/ (- (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))) (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))))
1.413 * [simplify]: Simplified (2 2) to (λ (x y) (/ (- (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))) (+ (* (/ (* y y) (+ (* y y) (* x x))) (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))))))
1.413 * * * * [progress]: [ 59 / 95 ] simplifiying candidate #<alt (λ (x y) (+ (/ (* x x) (+ (* x x) (* y y))) (- (/ (* y y) (+ (* x x) (* y y))))))>
1.413 * [simplify]: Simplified (2 2) to (λ (x y) (+ (/ (* x x) (+ (* x x) (* y y))) (- (/ (* y y) (+ (* y y) (* x x))))))
1.413 * * * * [progress]: [ 60 / 95 ] simplifiying candidate #<alt (λ (x y) (* 1 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))>
1.413 * * * * [progress]: [ 61 / 95 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))>
1.413 * [simplify]: Simplified (2 1) to (λ (x y) (/ (- (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
1.414 * [simplify]: Simplified (2 2) to (λ (x y) (/ (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))
1.414 * * * * [progress]: [ 62 / 95 ] simplifiying candidate #<alt (λ (x y) (* (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
1.414 * [simplify]: Simplified (2 1) to (λ (x y) (* (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
1.414 * [simplify]: Simplified (2 2) to (λ (x y) (* (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))))
1.414 * * * * [progress]: [ 63 / 95 ] simplifiying candidate #<alt (λ (x y) (* (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>
1.414 * [simplify]: Simplified (2 1) to (λ (x y) (* (+ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))
1.414 * [simplify]: Simplified (2 2) to (λ (x y) (* (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))))
1.414 * * * * [progress]: [ 64 / 95 ] simplifiying candidate #<alt (λ (x y) (* (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
1.414 * [simplify]: Simplified (2 1) to (λ (x y) (* (+ (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
1.414 * [simplify]: Simplified (2 2) to (λ (x y) (* (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))))
1.414 * * * * [progress]: [ 65 / 95 ] simplifiying candidate #<alt (λ (x y) (* (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>
1.414 * [simplify]: Simplified (2 1) to (λ (x y) (* (+ (/ y (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))
1.415 * [simplify]: Simplified (2 2) to (λ (x y) (* (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))))
1.415 * * * * [progress]: [ 66 / 95 ] simplifiying candidate #<alt (λ (x y) (* 1 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))>
1.415 * [simplify]: Simplified (2 2) to (λ (x y) (* 1 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))
1.415 * * * * [progress]: [ 67 / 95 ] simplifiying candidate #<alt (λ (x y) (* (/ 1 (+ (* x x) (* y y))) (- (* x x) (* y y))))>
1.415 * [simplify]: Simplified (2 2) to (λ (x y) (* (/ 1 (+ (* x x) (* y y))) (- (* x x) (* y y))))
1.415 * * * * [progress]: [ 68 / 95 ] simplifiying candidate #<alt (λ (x y) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))))))>
1.415 * [simplify]: Simplified (2 2) to (λ (x y) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (/ (* x x) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))) (/ (* y y) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))))))
1.415 * * * * [progress]: [ 69 / 95 ] simplifiying candidate #<alt (λ (x y) (* (- (* x x) (* y y)) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))))))>
1.415 * [simplify]: Simplified (2 2) to (λ (x y) (* (- (* x x) (* y y)) (- (/ (* x x) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (/ (* y y) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))))))
1.415 * * * * [progress]: [ 70 / 95 ] simplifiying candidate #<alt (λ (x y) (+ (/ (* x x) (+ (* x x) (* y y))) (- (/ (* y y) (+ (* x x) (* y y))))))>
1.415 * [simplify]: Simplified (2 2) to (λ (x y) (+ (/ (* x x) (+ (* x x) (* y y))) (- (/ (* y y) (+ (* y y) (* x x))))))
1.415 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))>
1.415 * [simplify]: Simplified (2 1) to (λ (x y) (posit16->real (real->posit16 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))))
1.415 * * * * [progress]: [ 72 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (log (* (exp (* x x)) (exp (* y y)))))))>
1.415 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (log (exp (+ (* x x) (* y y)))))))
1.415 * * * * [progress]: [ 73 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (pow (+ (* x x) (* y y)) 1))))>
1.416 * * * * [progress]: [ 74 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (exp (log (+ (* x x) (* y y)))))))>
1.416 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (exp (log (+ (* y y) (* x x)))))))
1.416 * * * * [progress]: [ 75 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (log (exp (+ (* x x) (* y y)))))))>
1.416 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (log (exp (+ (* x x) (* y y)))))))
1.416 * * * * [progress]: [ 76 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))))>
1.416 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (* (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* x x) (* y y)))))))
1.416 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* y y) (* x x)))))))
1.416 * * * * [progress]: [ 77 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (cbrt (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))>
1.416 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (cbrt (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))))
1.416 * * * * [progress]: [ 78 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))))>
1.416 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y)))))))
1.416 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* y y) (* x x)))))))
1.416 * * * * [progress]: [ 79 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))))>
1.416 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (/ (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))))
1.416 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (/ (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x))) (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x))))))))
1.417 * * * * [progress]: [ 80 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (* 1 (+ (* x x) (* y y))))))>
1.417 * * * * [progress]: [ 81 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))))))>
1.417 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))))
1.417 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (/ (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))))))
1.417 * * * * [progress]: [ 82 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (posit16->real (real->posit16 (+ (* x x) (* y y)))))))>
1.417 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (posit16->real (real->posit16 (+ (* y y) (* x x)))))))
1.417 * * * * [progress]: [ 83 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))))>
1.417 * * * * [progress]: [ 84 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) 0))>
1.417 * [simplify]: Simplified (2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) 0))
1.417 * * * * [progress]: [ 85 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) 0))>
1.417 * [simplify]: Simplified (2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) 0))
1.417 * * * * [progress]: [ 86 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) 0))>
1.417 * [simplify]: Simplified (2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) 0))
1.417 * * * * [progress]: [ 87 / 95 ] simplifiying candidate #<alt (λ (x y) (- 0 (/ (* y y) (+ (* x x) (* y y)))))>
1.417 * [simplify]: Simplified (2 1) to (λ (x y) (- 0 (/ (* y y) (+ (* x x) (* y y)))))
1.417 * * * * [progress]: [ 88 / 95 ] simplifiying candidate #<alt (λ (x y) (- 0 (/ (* y y) (+ (* x x) (* y y)))))>
1.417 * [simplify]: Simplified (2 1) to (λ (x y) (- 0 (/ (* y y) (+ (* x x) (* y y)))))
1.417 * * * * [progress]: [ 89 / 95 ] simplifiying candidate #<alt (λ (x y) (- 0 (/ (* y y) (+ (* x x) (* y y)))))>
1.417 * [simplify]: Simplified (2 1) to (λ (x y) (- 0 (/ (* y y) (+ (* x x) (* y y)))))
1.418 * * * * [progress]: [ 90 / 95 ] simplifiying candidate #<alt (λ (x y) -1)>
1.418 * [simplify]: Simplified (2) to (λ (x y) -1)
1.418 * * * * [progress]: [ 91 / 95 ] simplifiying candidate #<alt (λ (x y) 1)>
1.418 * [simplify]: Simplified (2) to (λ (x y) 1)
1.418 * * * * [progress]: [ 92 / 95 ] simplifiying candidate #<alt (λ (x y) 1)>
1.418 * [simplify]: Simplified (2) to (λ (x y) 1)
1.418 * * * * [progress]: [ 93 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (pow y 2) (pow x 2)))))>
1.418 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))))
1.418 * * * * [progress]: [ 94 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (pow y 2) (pow x 2)))))>
1.418 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))))
1.418 * * * * [progress]: [ 95 / 95 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (pow y 2) (pow x 2)))))>
1.418 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))))
1.418 * * * [progress]: adding candidates to table
2.157 * * [progress]: iteration 2 / 4
2.157 * * * [progress]: picking best candidate
2.166 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.166 * * * [progress]: localizing error
2.202 * * * [progress]: generating rewritten candidates
2.202 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1)
2.215 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
2.229 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
2.247 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
2.272 * * * [progress]: generating series expansions
2.272 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1)
2.272 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
2.272 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
2.272 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
2.272 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.272 * [taylor]: Taking taylor expansion of y in x
2.272 * [backup-simplify]: Simplify y into y
2.272 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.272 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.272 * [taylor]: Taking taylor expansion of y in x
2.272 * [backup-simplify]: Simplify y into y
2.272 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.272 * [taylor]: Taking taylor expansion of x in x
2.272 * [backup-simplify]: Simplify 0 into 0
2.272 * [backup-simplify]: Simplify 1 into 1
2.273 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.273 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.273 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.273 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
2.273 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
2.273 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.273 * [taylor]: Taking taylor expansion of y in y
2.273 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify 1 into 1
2.273 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.273 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.273 * [taylor]: Taking taylor expansion of y in y
2.273 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify 1 into 1
2.273 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.273 * [taylor]: Taking taylor expansion of x in y
2.273 * [backup-simplify]: Simplify x into x
2.274 * [backup-simplify]: Simplify (* 1 1) into 1
2.274 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.274 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.274 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.274 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
2.274 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.274 * [taylor]: Taking taylor expansion of y in y
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify 1 into 1
2.274 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.274 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.274 * [taylor]: Taking taylor expansion of y in y
2.275 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify 1 into 1
2.275 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.275 * [taylor]: Taking taylor expansion of x in y
2.275 * [backup-simplify]: Simplify x into x
2.275 * [backup-simplify]: Simplify (* 1 1) into 1
2.275 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.275 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.275 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.275 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.276 * [taylor]: Taking taylor expansion of x in x
2.276 * [backup-simplify]: Simplify 0 into 0
2.276 * [backup-simplify]: Simplify 1 into 1
2.276 * [backup-simplify]: Simplify (* 1 1) into 1
2.276 * [backup-simplify]: Simplify (/ 1 1) into 1
2.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.280 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.281 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.281 * [backup-simplify]: Simplify (+ 0 0) into 0
2.281 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.281 * [taylor]: Taking taylor expansion of 0 in x
2.281 * [backup-simplify]: Simplify 0 into 0
2.281 * [backup-simplify]: Simplify 0 into 0
2.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.283 * [backup-simplify]: Simplify 0 into 0
2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.285 * [backup-simplify]: Simplify (* 1 1) into 1
2.285 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.286 * [backup-simplify]: Simplify (+ 1 0) into 1
2.286 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
2.286 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
2.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.286 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.286 * [taylor]: Taking taylor expansion of x in x
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify 1 into 1
2.287 * [backup-simplify]: Simplify (* 1 1) into 1
2.287 * [backup-simplify]: Simplify (* 1 1) into 1
2.287 * [backup-simplify]: Simplify (/ 1 1) into 1
2.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.300 * [backup-simplify]: Simplify (- 0) into 0
2.300 * [backup-simplify]: Simplify 0 into 0
2.300 * [backup-simplify]: Simplify 0 into 0
2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.303 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
2.303 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
2.303 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.304 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.304 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.304 * [taylor]: Taking taylor expansion of y in x
2.304 * [backup-simplify]: Simplify y into y
2.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.304 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.304 * [taylor]: Taking taylor expansion of y in x
2.304 * [backup-simplify]: Simplify y into y
2.304 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.304 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.304 * [taylor]: Taking taylor expansion of x in x
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify 1 into 1
2.305 * [backup-simplify]: Simplify (* 1 1) into 1
2.305 * [backup-simplify]: Simplify (/ 1 1) into 1
2.305 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.306 * [backup-simplify]: Simplify (+ 0 1) into 1
2.306 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
2.306 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.306 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.306 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.306 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.306 * [taylor]: Taking taylor expansion of y in y
2.306 * [backup-simplify]: Simplify 0 into 0
2.306 * [backup-simplify]: Simplify 1 into 1
2.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.306 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.306 * [taylor]: Taking taylor expansion of y in y
2.306 * [backup-simplify]: Simplify 0 into 0
2.306 * [backup-simplify]: Simplify 1 into 1
2.307 * [backup-simplify]: Simplify (* 1 1) into 1
2.307 * [backup-simplify]: Simplify (/ 1 1) into 1
2.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.307 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.307 * [taylor]: Taking taylor expansion of x in y
2.307 * [backup-simplify]: Simplify x into x
2.307 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.307 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.308 * [backup-simplify]: Simplify (* 1 1) into 1
2.308 * [backup-simplify]: Simplify (+ 1 0) into 1
2.309 * [backup-simplify]: Simplify (* 1 1) into 1
2.309 * [backup-simplify]: Simplify (/ 1 1) into 1
2.309 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.309 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.309 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.309 * [taylor]: Taking taylor expansion of y in y
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify 1 into 1
2.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.309 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.309 * [taylor]: Taking taylor expansion of y in y
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify 1 into 1
2.310 * [backup-simplify]: Simplify (* 1 1) into 1
2.310 * [backup-simplify]: Simplify (/ 1 1) into 1
2.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.310 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.310 * [taylor]: Taking taylor expansion of x in y
2.310 * [backup-simplify]: Simplify x into x
2.310 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.310 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.311 * [backup-simplify]: Simplify (* 1 1) into 1
2.311 * [backup-simplify]: Simplify (+ 1 0) into 1
2.312 * [backup-simplify]: Simplify (* 1 1) into 1
2.312 * [backup-simplify]: Simplify (/ 1 1) into 1
2.312 * [taylor]: Taking taylor expansion of 1 in x
2.312 * [backup-simplify]: Simplify 1 into 1
2.312 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.314 * [backup-simplify]: Simplify (+ 0 0) into 0
2.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.316 * [taylor]: Taking taylor expansion of 0 in x
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.318 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
2.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.320 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
2.321 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.321 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.321 * [taylor]: Taking taylor expansion of x in x
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.321 * [backup-simplify]: Simplify (* 1 1) into 1
2.322 * [backup-simplify]: Simplify (/ 1 1) into 1
2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.330 * [backup-simplify]: Simplify (- 0) into 0
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
2.330 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
2.331 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.331 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.331 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.331 * [taylor]: Taking taylor expansion of y in x
2.331 * [backup-simplify]: Simplify y into y
2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.331 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.331 * [taylor]: Taking taylor expansion of y in x
2.331 * [backup-simplify]: Simplify y into y
2.331 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.331 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.331 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.331 * [taylor]: Taking taylor expansion of x in x
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify 1 into 1
2.332 * [backup-simplify]: Simplify (* 1 1) into 1
2.332 * [backup-simplify]: Simplify (/ 1 1) into 1
2.332 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.333 * [backup-simplify]: Simplify (+ 0 1) into 1
2.333 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
2.333 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.333 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.333 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.333 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.333 * [taylor]: Taking taylor expansion of y in y
2.333 * [backup-simplify]: Simplify 0 into 0
2.333 * [backup-simplify]: Simplify 1 into 1
2.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.333 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.333 * [taylor]: Taking taylor expansion of y in y
2.333 * [backup-simplify]: Simplify 0 into 0
2.333 * [backup-simplify]: Simplify 1 into 1
2.334 * [backup-simplify]: Simplify (* 1 1) into 1
2.334 * [backup-simplify]: Simplify (/ 1 1) into 1
2.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.334 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.334 * [taylor]: Taking taylor expansion of x in y
2.334 * [backup-simplify]: Simplify x into x
2.334 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.334 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.335 * [backup-simplify]: Simplify (* 1 1) into 1
2.335 * [backup-simplify]: Simplify (+ 1 0) into 1
2.335 * [backup-simplify]: Simplify (* 1 1) into 1
2.336 * [backup-simplify]: Simplify (/ 1 1) into 1
2.336 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.336 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.336 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.336 * [taylor]: Taking taylor expansion of y in y
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 1 into 1
2.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.336 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.336 * [taylor]: Taking taylor expansion of y in y
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 1 into 1
2.337 * [backup-simplify]: Simplify (* 1 1) into 1
2.337 * [backup-simplify]: Simplify (/ 1 1) into 1
2.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.337 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.337 * [taylor]: Taking taylor expansion of x in y
2.337 * [backup-simplify]: Simplify x into x
2.337 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.337 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.338 * [backup-simplify]: Simplify (* 1 1) into 1
2.338 * [backup-simplify]: Simplify (+ 1 0) into 1
2.339 * [backup-simplify]: Simplify (* 1 1) into 1
2.339 * [backup-simplify]: Simplify (/ 1 1) into 1
2.339 * [taylor]: Taking taylor expansion of 1 in x
2.339 * [backup-simplify]: Simplify 1 into 1
2.339 * [backup-simplify]: Simplify 0 into 0
2.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.341 * [backup-simplify]: Simplify (+ 0 0) into 0
2.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.343 * [taylor]: Taking taylor expansion of 0 in x
2.343 * [backup-simplify]: Simplify 0 into 0
2.343 * [backup-simplify]: Simplify 0 into 0
2.343 * [backup-simplify]: Simplify 0 into 0
2.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.344 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
2.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.345 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
2.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
2.346 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
2.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.346 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.346 * [taylor]: Taking taylor expansion of x in x
2.346 * [backup-simplify]: Simplify 0 into 0
2.346 * [backup-simplify]: Simplify 1 into 1
2.346 * [backup-simplify]: Simplify (* 1 1) into 1
2.346 * [backup-simplify]: Simplify (/ 1 1) into 1
2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.351 * [backup-simplify]: Simplify (- 0) into 0
2.351 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify 0 into 0
2.351 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
2.351 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
2.351 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
2.351 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
2.351 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.351 * [taylor]: Taking taylor expansion of y in x
2.351 * [backup-simplify]: Simplify y into y
2.351 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.351 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.351 * [taylor]: Taking taylor expansion of y in x
2.351 * [backup-simplify]: Simplify y into y
2.351 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.352 * [taylor]: Taking taylor expansion of x in x
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 1 into 1
2.352 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.352 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.352 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.352 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
2.352 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
2.352 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.352 * [taylor]: Taking taylor expansion of y in y
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 1 into 1
2.352 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.352 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.352 * [taylor]: Taking taylor expansion of y in y
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 1 into 1
2.352 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.352 * [taylor]: Taking taylor expansion of x in y
2.352 * [backup-simplify]: Simplify x into x
2.352 * [backup-simplify]: Simplify (* 1 1) into 1
2.352 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.352 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.352 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.352 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
2.352 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.352 * [taylor]: Taking taylor expansion of y in y
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 1 into 1
2.353 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.353 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.353 * [taylor]: Taking taylor expansion of y in y
2.353 * [backup-simplify]: Simplify 0 into 0
2.353 * [backup-simplify]: Simplify 1 into 1
2.353 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.353 * [taylor]: Taking taylor expansion of x in y
2.353 * [backup-simplify]: Simplify x into x
2.353 * [backup-simplify]: Simplify (* 1 1) into 1
2.353 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.353 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.353 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.353 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.353 * [taylor]: Taking taylor expansion of x in x
2.353 * [backup-simplify]: Simplify 0 into 0
2.353 * [backup-simplify]: Simplify 1 into 1
2.353 * [backup-simplify]: Simplify (* 1 1) into 1
2.354 * [backup-simplify]: Simplify (/ 1 1) into 1
2.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.356 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.356 * [backup-simplify]: Simplify (+ 0 0) into 0
2.357 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.357 * [taylor]: Taking taylor expansion of 0 in x
2.357 * [backup-simplify]: Simplify 0 into 0
2.357 * [backup-simplify]: Simplify 0 into 0
2.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.358 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.359 * [backup-simplify]: Simplify (* 1 1) into 1
2.359 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.360 * [backup-simplify]: Simplify (+ 1 0) into 1
2.360 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
2.360 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.360 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.360 * [taylor]: Taking taylor expansion of x in x
2.360 * [backup-simplify]: Simplify 0 into 0
2.360 * [backup-simplify]: Simplify 1 into 1
2.360 * [backup-simplify]: Simplify (* 1 1) into 1
2.361 * [backup-simplify]: Simplify (* 1 1) into 1
2.361 * [backup-simplify]: Simplify (/ 1 1) into 1
2.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.368 * [backup-simplify]: Simplify (- 0) into 0
2.368 * [backup-simplify]: Simplify 0 into 0
2.368 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
2.370 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
2.370 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.370 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.370 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.370 * [taylor]: Taking taylor expansion of y in x
2.370 * [backup-simplify]: Simplify y into y
2.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.370 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.370 * [taylor]: Taking taylor expansion of y in x
2.370 * [backup-simplify]: Simplify y into y
2.370 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.370 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.370 * [taylor]: Taking taylor expansion of x in x
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 1 into 1
2.371 * [backup-simplify]: Simplify (* 1 1) into 1
2.371 * [backup-simplify]: Simplify (/ 1 1) into 1
2.371 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.372 * [backup-simplify]: Simplify (+ 0 1) into 1
2.372 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
2.372 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.372 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.372 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.372 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.372 * [taylor]: Taking taylor expansion of y in y
2.372 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify 1 into 1
2.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.372 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.372 * [taylor]: Taking taylor expansion of y in y
2.372 * [backup-simplify]: Simplify 0 into 0
2.373 * [backup-simplify]: Simplify 1 into 1
2.373 * [backup-simplify]: Simplify (* 1 1) into 1
2.373 * [backup-simplify]: Simplify (/ 1 1) into 1
2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.373 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.373 * [taylor]: Taking taylor expansion of x in y
2.373 * [backup-simplify]: Simplify x into x
2.374 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.374 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.374 * [backup-simplify]: Simplify (* 1 1) into 1
2.374 * [backup-simplify]: Simplify (+ 1 0) into 1
2.375 * [backup-simplify]: Simplify (* 1 1) into 1
2.375 * [backup-simplify]: Simplify (/ 1 1) into 1
2.375 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.375 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.375 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.375 * [taylor]: Taking taylor expansion of y in y
2.375 * [backup-simplify]: Simplify 0 into 0
2.375 * [backup-simplify]: Simplify 1 into 1
2.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.376 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.376 * [taylor]: Taking taylor expansion of y in y
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify 1 into 1
2.376 * [backup-simplify]: Simplify (* 1 1) into 1
2.376 * [backup-simplify]: Simplify (/ 1 1) into 1
2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.376 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.377 * [taylor]: Taking taylor expansion of x in y
2.377 * [backup-simplify]: Simplify x into x
2.377 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.377 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.377 * [backup-simplify]: Simplify (* 1 1) into 1
2.378 * [backup-simplify]: Simplify (+ 1 0) into 1
2.378 * [backup-simplify]: Simplify (* 1 1) into 1
2.379 * [backup-simplify]: Simplify (/ 1 1) into 1
2.379 * [taylor]: Taking taylor expansion of 1 in x
2.379 * [backup-simplify]: Simplify 1 into 1
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.381 * [backup-simplify]: Simplify (+ 0 0) into 0
2.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.383 * [taylor]: Taking taylor expansion of 0 in x
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.385 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.387 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
2.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
2.387 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
2.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.387 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.387 * [taylor]: Taking taylor expansion of x in x
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.388 * [backup-simplify]: Simplify (* 1 1) into 1
2.388 * [backup-simplify]: Simplify (/ 1 1) into 1
2.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.399 * [backup-simplify]: Simplify (- 0) into 0
2.399 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
2.399 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
2.399 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.399 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.399 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.399 * [taylor]: Taking taylor expansion of y in x
2.399 * [backup-simplify]: Simplify y into y
2.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.400 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.400 * [taylor]: Taking taylor expansion of y in x
2.400 * [backup-simplify]: Simplify y into y
2.400 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.400 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.400 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.400 * [taylor]: Taking taylor expansion of x in x
2.400 * [backup-simplify]: Simplify 0 into 0
2.400 * [backup-simplify]: Simplify 1 into 1
2.400 * [backup-simplify]: Simplify (* 1 1) into 1
2.401 * [backup-simplify]: Simplify (/ 1 1) into 1
2.401 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.401 * [backup-simplify]: Simplify (+ 0 1) into 1
2.401 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
2.401 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.401 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.401 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.401 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.401 * [taylor]: Taking taylor expansion of y in y
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify 1 into 1
2.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.402 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.402 * [taylor]: Taking taylor expansion of y in y
2.402 * [backup-simplify]: Simplify 0 into 0
2.402 * [backup-simplify]: Simplify 1 into 1
2.402 * [backup-simplify]: Simplify (* 1 1) into 1
2.402 * [backup-simplify]: Simplify (/ 1 1) into 1
2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.402 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.402 * [taylor]: Taking taylor expansion of x in y
2.402 * [backup-simplify]: Simplify x into x
2.403 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.403 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.403 * [backup-simplify]: Simplify (* 1 1) into 1
2.403 * [backup-simplify]: Simplify (+ 1 0) into 1
2.404 * [backup-simplify]: Simplify (* 1 1) into 1
2.404 * [backup-simplify]: Simplify (/ 1 1) into 1
2.404 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.404 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.404 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.404 * [taylor]: Taking taylor expansion of y in y
2.404 * [backup-simplify]: Simplify 0 into 0
2.404 * [backup-simplify]: Simplify 1 into 1
2.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.404 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.404 * [taylor]: Taking taylor expansion of y in y
2.404 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify 1 into 1
2.405 * [backup-simplify]: Simplify (* 1 1) into 1
2.405 * [backup-simplify]: Simplify (/ 1 1) into 1
2.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.405 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.405 * [taylor]: Taking taylor expansion of x in y
2.405 * [backup-simplify]: Simplify x into x
2.405 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.406 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.406 * [backup-simplify]: Simplify (* 1 1) into 1
2.406 * [backup-simplify]: Simplify (+ 1 0) into 1
2.407 * [backup-simplify]: Simplify (* 1 1) into 1
2.407 * [backup-simplify]: Simplify (/ 1 1) into 1
2.408 * [taylor]: Taking taylor expansion of 1 in x
2.408 * [backup-simplify]: Simplify 1 into 1
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.410 * [backup-simplify]: Simplify (+ 0 0) into 0
2.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.412 * [taylor]: Taking taylor expansion of 0 in x
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.414 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.416 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
2.416 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
2.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.416 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.416 * [taylor]: Taking taylor expansion of x in x
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 1 into 1
2.417 * [backup-simplify]: Simplify (* 1 1) into 1
2.417 * [backup-simplify]: Simplify (/ 1 1) into 1
2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.425 * [backup-simplify]: Simplify (- 0) into 0
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 0 into 0
2.426 * [backup-simplify]: Simplify 0 into 0
2.426 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
2.426 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2)))
2.426 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0
2.426 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
2.426 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.426 * [taylor]: Taking taylor expansion of x in y
2.426 * [backup-simplify]: Simplify x into x
2.426 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.426 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.426 * [taylor]: Taking taylor expansion of y in y
2.426 * [backup-simplify]: Simplify 0 into 0
2.426 * [backup-simplify]: Simplify 1 into 1
2.426 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.426 * [taylor]: Taking taylor expansion of x in y
2.426 * [backup-simplify]: Simplify x into x
2.426 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.427 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.427 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.427 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
2.427 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
2.427 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.427 * [taylor]: Taking taylor expansion of x in x
2.427 * [backup-simplify]: Simplify 0 into 0
2.427 * [backup-simplify]: Simplify 1 into 1
2.427 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.427 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.427 * [taylor]: Taking taylor expansion of y in x
2.427 * [backup-simplify]: Simplify y into y
2.427 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.427 * [taylor]: Taking taylor expansion of x in x
2.427 * [backup-simplify]: Simplify 0 into 0
2.427 * [backup-simplify]: Simplify 1 into 1
2.428 * [backup-simplify]: Simplify (* 1 1) into 1
2.428 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.428 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.428 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.428 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
2.428 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.428 * [taylor]: Taking taylor expansion of x in x
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.428 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.428 * [taylor]: Taking taylor expansion of y in x
2.429 * [backup-simplify]: Simplify y into y
2.429 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.429 * [taylor]: Taking taylor expansion of x in x
2.429 * [backup-simplify]: Simplify 0 into 0
2.429 * [backup-simplify]: Simplify 1 into 1
2.429 * [backup-simplify]: Simplify (* 1 1) into 1
2.429 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.430 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.430 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.430 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.430 * [taylor]: Taking taylor expansion of y in y
2.430 * [backup-simplify]: Simplify 0 into 0
2.430 * [backup-simplify]: Simplify 1 into 1
2.430 * [backup-simplify]: Simplify (* 1 1) into 1
2.431 * [backup-simplify]: Simplify (/ 1 1) into 1
2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.436 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.436 * [backup-simplify]: Simplify (+ 0 0) into 0
2.436 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.436 * [taylor]: Taking taylor expansion of 0 in y
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.440 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.440 * [backup-simplify]: Simplify (* 1 1) into 1
2.441 * [backup-simplify]: Simplify (+ 0 1) into 1
2.441 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4)))
2.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.441 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.441 * [taylor]: Taking taylor expansion of y in y
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify 1 into 1
2.442 * [backup-simplify]: Simplify (* 1 1) into 1
2.442 * [backup-simplify]: Simplify (* 1 1) into 1
2.442 * [backup-simplify]: Simplify (/ 1 1) into 1
2.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.454 * [backup-simplify]: Simplify (- 0) into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
2.456 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
2.456 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.456 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.456 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.456 * [taylor]: Taking taylor expansion of x in y
2.456 * [backup-simplify]: Simplify x into x
2.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.456 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.456 * [taylor]: Taking taylor expansion of y in y
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.457 * [backup-simplify]: Simplify (* 1 1) into 1
2.457 * [backup-simplify]: Simplify (/ 1 1) into 1
2.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.457 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.457 * [taylor]: Taking taylor expansion of x in y
2.457 * [backup-simplify]: Simplify x into x
2.457 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.458 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.458 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.458 * [backup-simplify]: Simplify (+ 1 0) into 1
2.458 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
2.458 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.458 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.458 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.458 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.458 * [taylor]: Taking taylor expansion of x in x
2.458 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify 1 into 1
2.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.458 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.458 * [taylor]: Taking taylor expansion of y in x
2.459 * [backup-simplify]: Simplify y into y
2.459 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.459 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.459 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.459 * [taylor]: Taking taylor expansion of x in x
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (* 1 1) into 1
2.460 * [backup-simplify]: Simplify (/ 1 1) into 1
2.460 * [backup-simplify]: Simplify (* 1 1) into 1
2.461 * [backup-simplify]: Simplify (+ 0 1) into 1
2.461 * [backup-simplify]: Simplify (* 1 1) into 1
2.461 * [backup-simplify]: Simplify (/ 1 1) into 1
2.461 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.461 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.461 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.461 * [taylor]: Taking taylor expansion of x in x
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 1 into 1
2.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.462 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.462 * [taylor]: Taking taylor expansion of y in x
2.462 * [backup-simplify]: Simplify y into y
2.462 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.462 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.462 * [taylor]: Taking taylor expansion of x in x
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 1 into 1
2.462 * [backup-simplify]: Simplify (* 1 1) into 1
2.463 * [backup-simplify]: Simplify (/ 1 1) into 1
2.463 * [backup-simplify]: Simplify (* 1 1) into 1
2.464 * [backup-simplify]: Simplify (+ 0 1) into 1
2.464 * [backup-simplify]: Simplify (* 1 1) into 1
2.464 * [backup-simplify]: Simplify (/ 1 1) into 1
2.464 * [taylor]: Taking taylor expansion of 1 in y
2.464 * [backup-simplify]: Simplify 1 into 1
2.464 * [backup-simplify]: Simplify 0 into 0
2.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.466 * [backup-simplify]: Simplify (+ 0 0) into 0
2.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.468 * [taylor]: Taking taylor expansion of 0 in y
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.470 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.472 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
2.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
2.473 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
2.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.473 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.473 * [taylor]: Taking taylor expansion of y in y
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.473 * [backup-simplify]: Simplify (* 1 1) into 1
2.474 * [backup-simplify]: Simplify (/ 1 1) into 1
2.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.481 * [backup-simplify]: Simplify (- 0) into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
2.482 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
2.482 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.482 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.482 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.482 * [taylor]: Taking taylor expansion of x in y
2.482 * [backup-simplify]: Simplify x into x
2.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.482 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.482 * [taylor]: Taking taylor expansion of y in y
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 1 into 1
2.483 * [backup-simplify]: Simplify (* 1 1) into 1
2.483 * [backup-simplify]: Simplify (/ 1 1) into 1
2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.483 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.483 * [taylor]: Taking taylor expansion of x in y
2.483 * [backup-simplify]: Simplify x into x
2.483 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.483 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.483 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.484 * [backup-simplify]: Simplify (+ 1 0) into 1
2.484 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
2.484 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.484 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.484 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.484 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.484 * [taylor]: Taking taylor expansion of x in x
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 1 into 1
2.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.484 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.484 * [taylor]: Taking taylor expansion of y in x
2.484 * [backup-simplify]: Simplify y into y
2.484 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.484 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.485 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.485 * [taylor]: Taking taylor expansion of x in x
2.485 * [backup-simplify]: Simplify 0 into 0
2.485 * [backup-simplify]: Simplify 1 into 1
2.485 * [backup-simplify]: Simplify (* 1 1) into 1
2.485 * [backup-simplify]: Simplify (/ 1 1) into 1
2.486 * [backup-simplify]: Simplify (* 1 1) into 1
2.486 * [backup-simplify]: Simplify (+ 0 1) into 1
2.487 * [backup-simplify]: Simplify (* 1 1) into 1
2.487 * [backup-simplify]: Simplify (/ 1 1) into 1
2.487 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.487 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.487 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.487 * [taylor]: Taking taylor expansion of x in x
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify 1 into 1
2.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.487 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.487 * [taylor]: Taking taylor expansion of y in x
2.487 * [backup-simplify]: Simplify y into y
2.487 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.487 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.487 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.488 * [taylor]: Taking taylor expansion of x in x
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify 1 into 1
2.488 * [backup-simplify]: Simplify (* 1 1) into 1
2.488 * [backup-simplify]: Simplify (/ 1 1) into 1
2.489 * [backup-simplify]: Simplify (* 1 1) into 1
2.489 * [backup-simplify]: Simplify (+ 0 1) into 1
2.490 * [backup-simplify]: Simplify (* 1 1) into 1
2.490 * [backup-simplify]: Simplify (/ 1 1) into 1
2.490 * [taylor]: Taking taylor expansion of 1 in y
2.490 * [backup-simplify]: Simplify 1 into 1
2.490 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.492 * [backup-simplify]: Simplify (+ 0 0) into 0
2.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.494 * [taylor]: Taking taylor expansion of 0 in y
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.496 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.498 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
2.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
2.499 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.499 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.499 * [taylor]: Taking taylor expansion of y in y
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 1 into 1
2.499 * [backup-simplify]: Simplify (* 1 1) into 1
2.500 * [backup-simplify]: Simplify (/ 1 1) into 1
2.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.505 * [backup-simplify]: Simplify (- 0) into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
2.506 * [backup-simplify]: Simplify (sqrt (/ (* y y) (+ (* x x) (* y y)))) into (* (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) y)
2.506 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) y) in (y x) around 0
2.506 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) y) in x
2.506 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) in x
2.506 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in x
2.506 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.506 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.506 * [taylor]: Taking taylor expansion of y in x
2.506 * [backup-simplify]: Simplify y into y
2.506 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.506 * [taylor]: Taking taylor expansion of x in x
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 1 into 1
2.506 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.506 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.506 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.506 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
2.506 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.507 * [backup-simplify]: Simplify (+ 0 0) into 0
2.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
2.507 * [taylor]: Taking taylor expansion of y in x
2.507 * [backup-simplify]: Simplify y into y
2.507 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) y) in y
2.507 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) in y
2.507 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in y
2.507 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.507 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.507 * [taylor]: Taking taylor expansion of y in y
2.507 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify 1 into 1
2.507 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.507 * [taylor]: Taking taylor expansion of x in y
2.507 * [backup-simplify]: Simplify x into x
2.507 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.507 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.507 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.507 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
2.507 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.508 * [backup-simplify]: Simplify (+ 0 0) into 0
2.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
2.508 * [taylor]: Taking taylor expansion of y in y
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 1 into 1
2.508 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) y) in y
2.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) in y
2.508 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in y
2.508 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.508 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.508 * [taylor]: Taking taylor expansion of y in y
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 1 into 1
2.508 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.508 * [taylor]: Taking taylor expansion of x in y
2.508 * [backup-simplify]: Simplify x into x
2.508 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.508 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.508 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.508 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
2.508 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.509 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
2.509 * [taylor]: Taking taylor expansion of y in y
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify (* (/ 1 x) 0) into 0
2.509 * [taylor]: Taking taylor expansion of 0 in x
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify (+ (* (/ 1 x) 1) (* 0 0)) into (/ 1 x)
2.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.509 * [taylor]: Taking taylor expansion of x in x
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 1 into 1
2.510 * [backup-simplify]: Simplify (/ 1 1) into 1
2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify (* 1 1) into 1
2.511 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.511 * [backup-simplify]: Simplify (+ 1 0) into 1
2.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
2.512 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow x 4))) (pow 0 2) (+)) (* 2 (/ 1 x))) into (/ -1/2 (pow x 3))
2.513 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 1) (* (/ -1/2 (pow x 3)) 0))) into 0
2.513 * [taylor]: Taking taylor expansion of 0 in x
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify (sqrt (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (* (/ 1 y) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))))
2.514 * [approximate]: Taking taylor expansion of (* (/ 1 y) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (y x) around 0
2.514 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
2.514 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.514 * [taylor]: Taking taylor expansion of y in x
2.514 * [backup-simplify]: Simplify y into y
2.514 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.514 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.514 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.514 * [taylor]: Taking taylor expansion of y in x
2.514 * [backup-simplify]: Simplify y into y
2.514 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.514 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.514 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.514 * [taylor]: Taking taylor expansion of x in x
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (* 1 1) into 1
2.514 * [backup-simplify]: Simplify (/ 1 1) into 1
2.515 * [backup-simplify]: Simplify (+ 0 1) into 1
2.515 * [backup-simplify]: Simplify (/ 1 1) into 1
2.515 * [backup-simplify]: Simplify (sqrt 1) into 1
2.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify (+ 0 0) into 0
2.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.517 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y
2.517 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.517 * [taylor]: Taking taylor expansion of y in y
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify 1 into 1
2.518 * [backup-simplify]: Simplify (/ 1 1) into 1
2.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.518 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.518 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.518 * [taylor]: Taking taylor expansion of y in y
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 1 into 1
2.518 * [backup-simplify]: Simplify (* 1 1) into 1
2.518 * [backup-simplify]: Simplify (/ 1 1) into 1
2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.518 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.518 * [taylor]: Taking taylor expansion of x in y
2.518 * [backup-simplify]: Simplify x into x
2.518 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.518 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.519 * [backup-simplify]: Simplify (+ 1 0) into 1
2.519 * [backup-simplify]: Simplify (/ 1 1) into 1
2.519 * [backup-simplify]: Simplify (sqrt 1) into 1
2.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.520 * [backup-simplify]: Simplify (+ 0 0) into 0
2.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.521 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y
2.521 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.521 * [taylor]: Taking taylor expansion of y in y
2.521 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify 1 into 1
2.522 * [backup-simplify]: Simplify (/ 1 1) into 1
2.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.522 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.522 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.522 * [taylor]: Taking taylor expansion of y in y
2.522 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [backup-simplify]: Simplify (* 1 1) into 1
2.522 * [backup-simplify]: Simplify (/ 1 1) into 1
2.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.522 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.522 * [taylor]: Taking taylor expansion of x in y
2.522 * [backup-simplify]: Simplify x into x
2.522 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.522 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.523 * [backup-simplify]: Simplify (+ 1 0) into 1
2.523 * [backup-simplify]: Simplify (/ 1 1) into 1
2.523 * [backup-simplify]: Simplify (sqrt 1) into 1
2.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.524 * [backup-simplify]: Simplify (+ 0 0) into 0
2.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.525 * [backup-simplify]: Simplify (* 1 1) into 1
2.526 * [taylor]: Taking taylor expansion of 1 in x
2.526 * [backup-simplify]: Simplify 1 into 1
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.526 * [taylor]: Taking taylor expansion of 0 in x
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify 0 into 0
2.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.528 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
2.529 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow x 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow x 2))
2.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.532 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow x 2))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ 1 (pow x 2))))
2.533 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2)))) in x
2.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
2.533 * [taylor]: Taking taylor expansion of 1/2 in x
2.533 * [backup-simplify]: Simplify 1/2 into 1/2
2.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.533 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.533 * [taylor]: Taking taylor expansion of x in x
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 1 into 1
2.533 * [backup-simplify]: Simplify (* 1 1) into 1
2.534 * [backup-simplify]: Simplify (/ 1 1) into 1
2.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.540 * [backup-simplify]: Simplify (- 0) into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify (sqrt (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (* (/ 1 y) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))))
2.541 * [approximate]: Taking taylor expansion of (* (/ 1 y) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (y x) around 0
2.541 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
2.541 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.541 * [taylor]: Taking taylor expansion of y in x
2.541 * [backup-simplify]: Simplify y into y
2.541 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.541 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.541 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.541 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.541 * [taylor]: Taking taylor expansion of y in x
2.542 * [backup-simplify]: Simplify y into y
2.542 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.542 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.542 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.542 * [taylor]: Taking taylor expansion of x in x
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [backup-simplify]: Simplify (* 1 1) into 1
2.543 * [backup-simplify]: Simplify (/ 1 1) into 1
2.543 * [backup-simplify]: Simplify (+ 0 1) into 1
2.543 * [backup-simplify]: Simplify (/ 1 1) into 1
2.544 * [backup-simplify]: Simplify (sqrt 1) into 1
2.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.546 * [backup-simplify]: Simplify (+ 0 0) into 0
2.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.547 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y
2.547 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.547 * [taylor]: Taking taylor expansion of y in y
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 1 into 1
2.548 * [backup-simplify]: Simplify (/ 1 1) into 1
2.548 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.548 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.548 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.548 * [taylor]: Taking taylor expansion of y in y
2.548 * [backup-simplify]: Simplify 0 into 0
2.548 * [backup-simplify]: Simplify 1 into 1
2.548 * [backup-simplify]: Simplify (* 1 1) into 1
2.549 * [backup-simplify]: Simplify (/ 1 1) into 1
2.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.549 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.549 * [taylor]: Taking taylor expansion of x in y
2.549 * [backup-simplify]: Simplify x into x
2.549 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.549 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.550 * [backup-simplify]: Simplify (+ 1 0) into 1
2.550 * [backup-simplify]: Simplify (/ 1 1) into 1
2.550 * [backup-simplify]: Simplify (sqrt 1) into 1
2.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.552 * [backup-simplify]: Simplify (+ 0 0) into 0
2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.554 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y
2.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.554 * [taylor]: Taking taylor expansion of y in y
2.554 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify 1 into 1
2.554 * [backup-simplify]: Simplify (/ 1 1) into 1
2.554 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.554 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.554 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.554 * [taylor]: Taking taylor expansion of y in y
2.554 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify 1 into 1
2.555 * [backup-simplify]: Simplify (* 1 1) into 1
2.555 * [backup-simplify]: Simplify (/ 1 1) into 1
2.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.555 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.555 * [taylor]: Taking taylor expansion of x in y
2.555 * [backup-simplify]: Simplify x into x
2.555 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.555 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.556 * [backup-simplify]: Simplify (+ 1 0) into 1
2.556 * [backup-simplify]: Simplify (/ 1 1) into 1
2.557 * [backup-simplify]: Simplify (sqrt 1) into 1
2.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.558 * [backup-simplify]: Simplify (+ 0 0) into 0
2.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.561 * [backup-simplify]: Simplify (* 1 1) into 1
2.561 * [taylor]: Taking taylor expansion of 1 in x
2.561 * [backup-simplify]: Simplify 1 into 1
2.561 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.562 * [taylor]: Taking taylor expansion of 0 in x
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.565 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
2.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
2.567 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow x 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow x 2))
2.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.568 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow x 2))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ 1 (pow x 2))))
2.568 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2)))) in x
2.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
2.568 * [taylor]: Taking taylor expansion of 1/2 in x
2.569 * [backup-simplify]: Simplify 1/2 into 1/2
2.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.569 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.569 * [taylor]: Taking taylor expansion of x in x
2.569 * [backup-simplify]: Simplify 0 into 0
2.569 * [backup-simplify]: Simplify 1 into 1
2.569 * [backup-simplify]: Simplify (* 1 1) into 1
2.569 * [backup-simplify]: Simplify (/ 1 1) into 1
2.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (- 0) into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * * * [progress]: simplifying candidates
2.577 * * * * [progress]: [ 1 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (pow (/ (* y y) (+ (* x x) (* y y))) 1)))))>
2.577 * * * * [progress]: [ 2 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (exp (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))))))))>
2.577 * * * * [progress]: [ 3 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (exp (- (log (* y y)) (log (+ (* x x) (* y y)))))))))>
2.577 * * * * [progress]: [ 4 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (exp (log (/ (* y y) (+ (* x x) (* y y)))))))))>
2.577 * * * * [progress]: [ 5 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (log (exp (/ (* y y) (+ (* x x) (* y y)))))))))>
2.577 * * * * [progress]: [ 6 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (cbrt (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))))>
2.577 * * * * [progress]: [ 7 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (cbrt (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))))>
2.577 * * * * [progress]: [ 8 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.578 * * * * [progress]: [ 9 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (cbrt (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))))))>
2.578 * * * * [progress]: [ 10 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.578 * * * * [progress]: [ 11 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (- (* y y)) (- (+ (* x x) (* y y))))))))>
2.578 * * * * [progress]: [ 12 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))))))))>
2.578 * * * * [progress]: [ 13 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))))>
2.578 * * * * [progress]: [ 14 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ y 1) (/ y (+ (* x x) (* y y))))))))>
2.578 * * * * [progress]: [ 15 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* 1 (/ (* y y) (+ (* x x) (* y y))))))))>
2.578 * * * * [progress]: [ 16 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (* y y) (/ 1 (+ (* x x) (* y y))))))))>
2.578 * * * * [progress]: [ 17 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* y y)))))))>
2.578 * * * * [progress]: [ 18 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y))))))))>
2.578 * * * * [progress]: [ 19 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (/ (* y y) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))))>
2.578 * * * * [progress]: [ 20 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (/ (* y y) 1) (+ (* x x) (* y y)))))))>
2.578 * * * * [progress]: [ 21 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ y (/ (+ (* x x) (* y y)) y))))))>
2.578 * * * * [progress]: [ 22 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))))>
2.579 * * * * [progress]: [ 23 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y)))))))>
2.579 * * * * [progress]: [ 24 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (posit16->real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))))))>
2.579 * * * * [progress]: [ 25 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (pow (/ (* y y) (+ (* x x) (* y y))) 1)) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.579 * * * * [progress]: [ 26 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (exp (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.579 * * * * [progress]: [ 27 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (exp (- (log (* y y)) (log (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.579 * * * * [progress]: [ 28 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (exp (log (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.579 * * * * [progress]: [ 29 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.579 * * * * [progress]: [ 30 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (cbrt (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.579 * * * * [progress]: [ 31 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (cbrt (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.579 * * * * [progress]: [ 32 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.579 * * * * [progress]: [ 33 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (cbrt (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.579 * * * * [progress]: [ 34 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 35 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (- (* y y)) (- (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 36 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 37 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 38 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ y 1) (/ y (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 39 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* 1 (/ (* y y) (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 40 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (* y y) (/ 1 (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 41 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 42 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 43 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (/ (* y y) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 44 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (/ (* y y) 1) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 45 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ y (/ (+ (* x x) (* y y)) y))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.580 * * * * [progress]: [ 46 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 47 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 48 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (posit16->real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 49 / 106 ] simplifiying candidate #<alt (λ (x y) (- (pow (/ (* x x) (+ (* x x) (* y y))) 1) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 50 / 106 ] simplifiying candidate #<alt (λ (x y) (- (exp (- (+ (log x) (log x)) (log (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 51 / 106 ] simplifiying candidate #<alt (λ (x y) (- (exp (- (log (* x x)) (log (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 52 / 106 ] simplifiying candidate #<alt (λ (x y) (- (exp (log (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 53 / 106 ] simplifiying candidate #<alt (λ (x y) (- (log (exp (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 54 / 106 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 55 / 106 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 56 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 57 / 106 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 58 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.581 * * * * [progress]: [ 59 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (- (* x x)) (- (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 60 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 61 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 62 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x 1) (/ x (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 63 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* 1 (/ (* x x) (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 64 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (* x x) (/ 1 (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 65 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 66 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 67 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 68 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) 1) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 69 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ x (/ (+ (* x x) (* y y)) x)) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 70 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.582 * * * * [progress]: [ 71 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.583 * * * * [progress]: [ 72 / 106 ] simplifiying candidate #<alt (λ (x y) (- (posit16->real (real->posit16 (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.583 * * * * [progress]: [ 73 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (pow (/ (* y y) (+ (* x x) (* y y))) 1/2))))>
2.583 * * * * [progress]: [ 74 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (pow (sqrt (/ (* y y) (+ (* x x) (* y y)))) 1))))>
2.583 * * * * [progress]: [ 75 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (exp (log (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.583 * * * * [progress]: [ 76 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (log (exp (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.583 * * * * [progress]: [ 77 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (cbrt (sqrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.583 * * * * [progress]: [ 78 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (* (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.583 * * * * [progress]: [ 79 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (cbrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.583 * * * * [progress]: [ 80 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y))))) (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.583 * * * * [progress]: [ 81 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (sqrt (/ y (cbrt (+ (* x x) (* y y)))))))))>
2.583 * * * * [progress]: [ 82 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y)))))))))>
2.583 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ y 1)) (sqrt (/ y (+ (* x x) (* y y))))))))>
2.583 * * * * [progress]: [ 84 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt 1) (sqrt (/ (* y y) (+ (* x x) (* y y))))))))>
2.584 * * * * [progress]: [ 85 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (* y y)) (sqrt (/ 1 (+ (* x x) (* y y))))))))>
2.584 * * * * [progress]: [ 86 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))))>
2.584 * * * * [progress]: [ 87 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (- (* x x) (* y y)))))))>
2.584 * * * * [progress]: [ 88 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (/ (sqrt (* y y)) (sqrt (+ (* x x) (* y y)))))))>
2.584 * * * * [progress]: [ 89 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (pow (/ (* y y) (+ (* x x) (* y y))) (/ 1 2)))))>
2.584 * * * * [progress]: [ 90 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y))))) (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.584 * * * * [progress]: [ 91 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (fabs (sqrt (/ (* y y) (+ (* x x) (* y y))))))))>
2.584 * * * * [progress]: [ 92 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (fabs (/ y (sqrt (+ (* x x) (* y y))))))))>
2.584 * * * * [progress]: [ 93 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* 1 (sqrt (/ (* y y) (+ (* x x) (* y y))))))))>
2.584 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (posit16->real (real->posit16 (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.584 * * * * [progress]: [ 95 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt 0))))>
2.584 * * * * [progress]: [ 96 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt 0))))>
2.584 * * * * [progress]: [ 97 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt 0))))>
2.584 * * * * [progress]: [ 98 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt 0) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.585 * * * * [progress]: [ 99 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt 0) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.585 * * * * [progress]: [ 100 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt 0) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.585 * * * * [progress]: [ 101 / 106 ] simplifiying candidate #<alt (λ (x y) (- 0 (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.585 * * * * [progress]: [ 102 / 106 ] simplifiying candidate #<alt (λ (x y) (- 0 (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.585 * * * * [progress]: [ 103 / 106 ] simplifiying candidate #<alt (λ (x y) (- 0 (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.585 * * * * [progress]: [ 104 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) 0)))>
2.585 * * * * [progress]: [ 105 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) 0)))>
2.585 * * * * [progress]: [ 106 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) 0)))>
2.586 * [simplify]: Simplifying (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))), (- (log (* y y)) (log (+ (* x x) (* y y)))), (log (/ (* y y) (+ (* x x) (* y y)))), (exp (/ (* y y) (+ (* x x) (* y y)))), (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))), (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))), (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))), (cbrt (/ (* y y) (+ (* x x) (* y y)))), (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))), (sqrt (/ (* y y) (+ (* x x) (* y y)))), (sqrt (/ (* y y) (+ (* x x) (* y y)))), (- (* y y)), (- (+ (* x x) (* y y))), (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))), (/ y (cbrt (+ (* x x) (* y y)))), (/ y (sqrt (+ (* x x) (* y y)))), (/ y (sqrt (+ (* x x) (* y y)))), (/ y 1), (/ y (+ (* x x) (* y y))), (/ 1 (+ (* x x) (* y y))), (/ (+ (* 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2.589 * * [simplify]: iteration 1: (114 enodes)
2.651 * * [simplify]: iteration 2: (465 enodes)
2.822 * * [simplify]: Extracting #0: cost 66 inf + 0
2.823 * * [simplify]: Extracting #1: cost 244 inf + 87
2.827 * * [simplify]: Extracting #2: cost 313 inf + 6943
2.842 * * [simplify]: Extracting #3: cost 187 inf + 44990
2.872 * * [simplify]: Extracting #4: cost 21 inf + 82151
2.907 * * [simplify]: Extracting #5: cost 0 inf + 87003
2.944 * * [simplify]: Extracting #6: cost 0 inf + 86923
2.968 * [simplify]: Simplified to (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (log (/ (* y y) (+ (* y y) (* x x)))), (exp (/ (* y y) (+ (* y y) (* x x)))), (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))), (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))), (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))), (cbrt (/ (* y y) (+ (* y y) (* x x)))), (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* y y) (* x x)))), (- (* y y)), (- (+ (* y y) (* x x))), (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))), (/ y (cbrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), (/ y (sqrt (+ (* y y) (* x x)))), y, (/ y (+ (* y y) (* x x))), (/ 1 (+ (* y y) (* x x))), (/ (+ (* y y) (* x x)) (* y 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(/ (* y y) (+ (* y y) (* x x))))), (* (cbrt (sqrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (sqrt (/ (* y y) (+ (* y y) (* x x)))))), (cbrt (sqrt (/ (* y y) (+ (* y y) (* x x))))), (* (sqrt (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))), (fabs (cbrt (/ (* y y) (+ (* y y) (* x x))))), (sqrt (cbrt (/ (* y y) (+ (* y y) (* x x))))), (sqrt (sqrt (/ (* y y) (+ (* y y) (* x x))))), (sqrt (sqrt (/ (* y y) (+ (* y y) (* x x))))), (sqrt (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))), (sqrt (/ y (cbrt (+ (* y y) (* x x))))), (sqrt (/ y (sqrt (+ (* y y) (* x x))))), (sqrt (/ y (sqrt (+ (* y y) (* x x))))), (sqrt y), (sqrt (/ y (+ (* y y) (* x x)))), 1, (sqrt (/ (* y y) (+ (* y y) (* x x)))), (fabs y), (sqrt (/ 1 (+ (* y y) (* x x)))), (sqrt (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x)))))), (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))), (sqrt (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y))))), (sqrt (- (* x x) (* y y))), (fabs y), (sqrt (+ (* y y) (* x x))), 1/2, (sqrt (sqrt (/ (* y y) (+ (* y y) (* x x))))), (sqrt (sqrt (/ (* y y) (+ (* y y) (* x x))))), (real->posit16 (sqrt (/ (* y y) (+ (* y y) (* x x))))), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
2.969 * * * * [progress]: [ 1 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (pow (/ (* y y) (+ (* x x) (* y y))) 1)))))>
2.969 * * * * [progress]: [ 2 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (exp (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))))))))>
2.969 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (exp (log (/ (* y y) (+ (* y y) (* x x)))))))))
2.969 * * * * [progress]: [ 3 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (exp (- (log (* y y)) (log (+ (* x x) (* y y)))))))))>
2.969 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (exp (log (/ (* y y) (+ (* y y) (* x x)))))))))
2.969 * * * * [progress]: [ 4 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (exp (log (/ (* y y) (+ (* x x) (* y y)))))))))>
2.969 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (exp (log (/ (* y y) (+ (* y y) (* x x)))))))))
2.969 * * * * [progress]: [ 5 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (log (exp (/ (* y y) (+ (* x x) (* y y)))))))))>
2.969 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (log (exp (/ (* y y) (+ (* y y) (* x x)))))))))
2.970 * * * * [progress]: [ 6 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (cbrt (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))))>
2.970 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (cbrt (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))))))))
2.970 * * * * [progress]: [ 7 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (cbrt (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))))))>
2.970 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (cbrt (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))))))))
2.970 * * * * [progress]: [ 8 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.970 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))))))
2.970 * [simplify]: Simplified (2 2 2 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))))))
2.970 * * * * [progress]: [ 9 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (cbrt (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))))))>
2.970 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (cbrt (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))))))))
2.970 * * * * [progress]: [ 10 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.970 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (sqrt (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))
2.971 * [simplify]: Simplified (2 2 2 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))))))
2.971 * * * * [progress]: [ 11 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (- (* y y)) (- (+ (* x x) (* y y))))))))>
2.971 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (- (* y y)) (- (+ (* x x) (* y y))))))))
2.971 * [simplify]: Simplified (2 2 2 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (- (* y y)) (- (+ (* y y) (* x x))))))))
2.971 * * * * [progress]: [ 12 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))))))))>
2.971 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* x x) (* y y)))))))))
2.971 * [simplify]: Simplified (2 2 2 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* y y) (* x x)))))))))
2.971 * * * * [progress]: [ 13 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))))>
2.971 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* x x) (* y y)))))))))
2.971 * [simplify]: Simplified (2 2 2 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* y y) (* x x)))))))))
2.971 * * * * [progress]: [ 14 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ y 1) (/ y (+ (* x x) (* y y))))))))>
2.971 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* y (/ y (+ (* x x) (* y y))))))))
2.972 * [simplify]: Simplified (2 2 2 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* y (/ y (+ (* y y) (* x x))))))))
2.972 * * * * [progress]: [ 15 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* 1 (/ (* y y) (+ (* x x) (* y y))))))))>
2.972 * * * * [progress]: [ 16 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (* y y) (/ 1 (+ (* x x) (* y y))))))))>
2.972 * [simplify]: Simplified (2 2 2 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (* y y) (/ 1 (+ (* y y) (* x x))))))))
2.972 * * * * [progress]: [ 17 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* y y)))))))>
2.972 * [simplify]: Simplified (2 2 2 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ 1 (/ (+ (* y y) (* x x)) (* y y)))))))
2.972 * * * * [progress]: [ 18 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y))))))))>
2.972 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x))))) (cbrt (+ (* x x) (* y y))))))))
2.972 * * * * [progress]: [ 19 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (/ (* y y) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))))>
2.972 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (/ (* y y) (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* x x) (* y y))))))))
2.972 * * * * [progress]: [ 20 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (/ (* y y) 1) (+ (* x x) (* y y)))))))>
2.972 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.972 * * * * [progress]: [ 21 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ y (/ (+ (* x x) (* y y)) y))))))>
2.972 * [simplify]: Simplified (2 2 2 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ y (/ (+ (* y y) (* x x)) y))))))
2.973 * * * * [progress]: [ 22 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))))>
2.973 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x))))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))))
2.973 * * * * [progress]: [ 23 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y)))))))>
2.973 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (* (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y)))) (- (* x x) (* y y)))))))
2.973 * * * * [progress]: [ 24 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (posit16->real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))))))>
2.973 * [simplify]: Simplified (2 2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (posit16->real (real->posit16 (/ (* y y) (+ (* y y) (* x x)))))))))
2.973 * * * * [progress]: [ 25 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (pow (/ (* y y) (+ (* x x) (* y y))) 1)) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.973 * * * * [progress]: [ 26 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (exp (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.973 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (exp (log (/ (* y y) (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.973 * * * * [progress]: [ 27 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (exp (- (log (* y y)) (log (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.973 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (exp (log (/ (* y y) (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.973 * * * * [progress]: [ 28 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (exp (log (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.974 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (exp (log (/ (* y y) (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.974 * * * * [progress]: [ 29 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.974 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (log (exp (/ (* y y) (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.974 * * * * [progress]: [ 30 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (cbrt (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.974 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (cbrt (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.974 * * * * [progress]: [ 31 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (cbrt (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.974 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (cbrt (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.974 * * * * [progress]: [ 32 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.974 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.974 * [simplify]: Simplified (2 2 1 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.974 * * * * [progress]: [ 33 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (cbrt (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.974 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (cbrt (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.975 * * * * [progress]: [ 34 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.975 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (sqrt (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.975 * [simplify]: Simplified (2 2 1 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.975 * * * * [progress]: [ 35 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (- (* y y)) (- (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.975 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (- (* y y)) (- (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.975 * [simplify]: Simplified (2 2 1 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (- (* y y)) (- (+ (* y y) (* x x))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.975 * * * * [progress]: [ 36 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.975 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.975 * [simplify]: Simplified (2 2 1 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.975 * * * * [progress]: [ 37 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.975 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.976 * [simplify]: Simplified (2 2 1 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.976 * * * * [progress]: [ 38 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ y 1) (/ y (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.976 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* y (/ y (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.976 * [simplify]: Simplified (2 2 1 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* y (/ y (+ (* y y) (* x x))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.976 * * * * [progress]: [ 39 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* 1 (/ (* y y) (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.976 * * * * [progress]: [ 40 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (* y y) (/ 1 (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.976 * [simplify]: Simplified (2 2 1 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (* y y) (/ 1 (+ (* y y) (* x x))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.976 * * * * [progress]: [ 41 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.976 * [simplify]: Simplified (2 2 1 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ 1 (/ (+ (* y y) (* x x)) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.976 * * * * [progress]: [ 42 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.976 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x))))) (cbrt (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.976 * * * * [progress]: [ 43 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (/ (* y y) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.976 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (/ (* y y) (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.977 * * * * [progress]: [ 44 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (/ (* y y) 1) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.977 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.977 * * * * [progress]: [ 45 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ y (/ (+ (* x x) (* y y)) y))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.977 * [simplify]: Simplified (2 2 1 1 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ y (/ (+ (* y y) (* x x)) y))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.977 * * * * [progress]: [ 46 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.977 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x))))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.977 * * * * [progress]: [ 47 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.977 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (* (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y)))) (- (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.977 * * * * [progress]: [ 48 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (posit16->real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.977 * [simplify]: Simplified (2 2 1 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (posit16->real (real->posit16 (/ (* y y) (+ (* y y) (* x x)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.977 * * * * [progress]: [ 49 / 106 ] simplifiying candidate #<alt (λ (x y) (- (pow (/ (* x x) (+ (* x x) (* y y))) 1) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.977 * * * * [progress]: [ 50 / 106 ] simplifiying candidate #<alt (λ (x y) (- (exp (- (+ (log x) (log x)) (log (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.977 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (exp (log (/ (* x x) (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.978 * * * * [progress]: [ 51 / 106 ] simplifiying candidate #<alt (λ (x y) (- (exp (- (log (* x x)) (log (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.978 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (exp (log (/ (* x x) (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.978 * * * * [progress]: [ 52 / 106 ] simplifiying candidate #<alt (λ (x y) (- (exp (log (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.978 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (exp (log (/ (* x x) (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.978 * * * * [progress]: [ 53 / 106 ] simplifiying candidate #<alt (λ (x y) (- (log (exp (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.978 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (log (exp (/ (* x x) (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.978 * * * * [progress]: [ 54 / 106 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.978 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (cbrt (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.978 * * * * [progress]: [ 55 / 106 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.978 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (cbrt (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.978 * * * * [progress]: [ 56 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.978 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x))))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.978 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.979 * * * * [progress]: [ 57 / 106 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.979 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (cbrt (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.979 * * * * [progress]: [ 58 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.979 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.979 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.979 * * * * [progress]: [ 59 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (- (* x x)) (- (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.979 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (/ (- (* x x)) (- (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.979 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (/ (- (* x x)) (- (+ (* y y) (* x x)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.979 * * * * [progress]: [ 60 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.979 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (/ (/ x (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ x (cbrt (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.979 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.979 * * * * [progress]: [ 61 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.979 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (/ x (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.980 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.980 * * * * [progress]: [ 62 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (/ x 1) (/ x (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.980 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* x (/ x (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.980 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* x (/ x (+ (* y y) (* x x)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.980 * * * * [progress]: [ 63 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* 1 (/ (* x x) (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.980 * * * * [progress]: [ 64 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (* x x) (/ 1 (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.980 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (* (* x x) (/ 1 (+ (* y y) (* x x)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.980 * * * * [progress]: [ 65 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.980 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (/ 1 (/ (+ (* y y) (* x x)) (* x x))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.980 * * * * [progress]: [ 66 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.980 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (/ (/ (* x x) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (cbrt (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.980 * * * * [progress]: [ 67 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.980 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (/ (/ (* x x) (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.980 * * * * [progress]: [ 68 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (/ (* x x) 1) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.980 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.981 * * * * [progress]: [ 69 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ x (/ (+ (* x x) (* y y)) x)) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.981 * [simplify]: Simplified (2 1 2) to (λ (x y) (- (/ x (/ (+ (* y y) (* x x)) x)) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.981 * * * * [progress]: [ 70 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.981 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x))))) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.981 * * * * [progress]: [ 71 / 106 ] simplifiying candidate #<alt (λ (x y) (- (* (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.981 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (* (/ (* x x) (* (+ (* y y) (* x x)) (- (* x x) (* y y)))) (- (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.981 * * * * [progress]: [ 72 / 106 ] simplifiying candidate #<alt (λ (x y) (- (posit16->real (real->posit16 (/ (* x x) (+ (* x x) (* y y))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.981 * [simplify]: Simplified (2 1 1) to (λ (x y) (- (posit16->real (real->posit16 (/ (* x x) (+ (* y y) (* x x))))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.981 * * * * [progress]: [ 73 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (pow (/ (* y y) (+ (* x x) (* y y))) 1/2))))>
2.981 * * * * [progress]: [ 74 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (pow (sqrt (/ (* y y) (+ (* x x) (* y y)))) 1))))>
2.981 * * * * [progress]: [ 75 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (exp (log (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.981 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (exp (log (sqrt (/ (* y y) (+ (* y y) (* x x)))))))))
2.981 * * * * [progress]: [ 76 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (log (exp (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.981 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (log (exp (sqrt (/ (* y y) (+ (* y y) (* x x)))))))))
2.981 * * * * [progress]: [ 77 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (cbrt (sqrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.981 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (cbrt (sqrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (sqrt (/ (* y y) (+ (* y y) (* x x)))))) (cbrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))
2.982 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (cbrt (sqrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (sqrt (/ (* y y) (+ (* y y) (* x x)))))))))
2.982 * * * * [progress]: [ 78 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (* (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.982 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (* (sqrt (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x))))))))
2.982 * * * * [progress]: [ 79 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (cbrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.982 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (fabs (cbrt (/ (* y y) (+ (* y y) (* x x))))) (sqrt (cbrt (/ (* y y) (+ (* x x) (* y y)))))))))
2.982 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (cbrt (/ (* y y) (+ (* y y) (* x x)))))))))
2.982 * * * * [progress]: [ 80 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y))))) (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.982 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (sqrt (/ (* y y) (+ (* y y) (* x x))))) (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))
2.982 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y))))) (sqrt (sqrt (/ (* y y) (+ (* y y) (* x x)))))))))
2.982 * * * * [progress]: [ 81 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (sqrt (/ y (cbrt (+ (* x x) (* y y)))))))))>
2.983 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))) (sqrt (/ y (cbrt (+ (* x x) (* y y)))))))))
2.983 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (sqrt (/ y (cbrt (+ (* y y) (* x x)))))))))
2.983 * * * * [progress]: [ 82 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y)))))))))>
2.983 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt (/ y (sqrt (+ (* x x) (* y y)))))))))
2.983 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* y y) (* x x)))))))))
2.983 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ y 1)) (sqrt (/ y (+ (* x x) (* y y))))))))>
2.983 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt y) (sqrt (/ y (+ (* x x) (* y y))))))))
2.983 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt y) (sqrt (/ y (+ (* y y) (* x x))))))))
2.983 * * * * [progress]: [ 84 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt 1) (sqrt (/ (* y y) (+ (* x x) (* y y))))))))>
2.983 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* 1 (sqrt (/ (* y y) (+ (* x x) (* y y))))))))
2.983 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* 1 (sqrt (/ (* y y) (+ (* y y) (* x x))))))))
2.984 * * * * [progress]: [ 85 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (* y y)) (sqrt (/ 1 (+ (* x x) (* y y))))))))>
2.984 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (fabs y) (sqrt (/ 1 (+ (* x x) (* y y))))))))
2.984 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (* y y)) (sqrt (/ 1 (+ (* y y) (* x x))))))))
2.984 * * * * [progress]: [ 86 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))))>
2.984 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x)))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))))
2.984 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x)))))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))))))))
2.984 * * * * [progress]: [ 87 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (- (* x x) (* y y)))))))>
2.984 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))))))
2.984 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (/ (* y y) (* (+ (* y y) (* x x)) (- (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))))))
2.984 * * * * [progress]: [ 88 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (/ (sqrt (* y y)) (sqrt (+ (* x x) (* y y)))))))>
2.984 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (/ (fabs y) (sqrt (+ (* x x) (* y y)))))))
2.985 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (/ (sqrt (* y y)) (sqrt (+ (* y y) (* x x)))))))
2.985 * * * * [progress]: [ 89 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (pow (/ (* y y) (+ (* x x) (* y y))) (/ 1 2)))))>
2.985 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (pow (/ (* y y) (+ (* x x) (* y y))) 1/2))))
2.985 * * * * [progress]: [ 90 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y))))) (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.985 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (sqrt (/ (* y y) (+ (* y y) (* x x))))) (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))
2.985 * [simplify]: Simplified (2 2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* (sqrt (sqrt (/ (* y y) (+ (* x x) (* y y))))) (sqrt (sqrt (/ (* y y) (+ (* y y) (* x x)))))))))
2.985 * * * * [progress]: [ 91 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (fabs (sqrt (/ (* y y) (+ (* x x) (* y y))))))))>
2.985 * * * * [progress]: [ 92 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (fabs (/ y (sqrt (+ (* x x) (* y y))))))))>
2.985 * * * * [progress]: [ 93 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (* 1 (sqrt (/ (* y y) (+ (* x x) (* y y))))))))>
2.985 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (posit16->real (real->posit16 (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))>
2.985 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (posit16->real (real->posit16 (sqrt (/ (* y y) (+ (* y y) (* x x)))))))))
2.985 * * * * [progress]: [ 95 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt 0))))>
2.985 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt 0))))
2.985 * * * * [progress]: [ 96 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt 0))))>
2.985 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt 0))))
2.986 * * * * [progress]: [ 97 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt 0))))>
2.986 * [simplify]: Simplified (2 2 2 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt 0))))
2.986 * * * * [progress]: [ 98 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt 0) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.986 * [simplify]: Simplified (2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt 0) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.986 * * * * [progress]: [ 99 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt 0) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.986 * [simplify]: Simplified (2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt 0) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.986 * * * * [progress]: [ 100 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt 0) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.986 * [simplify]: Simplified (2 2 1 1) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt 0) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.986 * * * * [progress]: [ 101 / 106 ] simplifiying candidate #<alt (λ (x y) (- 0 (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.986 * [simplify]: Simplified (2 1) to (λ (x y) (- 0 (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.986 * * * * [progress]: [ 102 / 106 ] simplifiying candidate #<alt (λ (x y) (- 0 (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.986 * [simplify]: Simplified (2 1) to (λ (x y) (- 0 (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.986 * * * * [progress]: [ 103 / 106 ] simplifiying candidate #<alt (λ (x y) (- 0 (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))>
2.987 * [simplify]: Simplified (2 1) to (λ (x y) (- 0 (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))
2.987 * * * * [progress]: [ 104 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) 0)))>
2.987 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) 0)))
2.987 * * * * [progress]: [ 105 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) 0)))>
2.987 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) 0)))
2.987 * * * * [progress]: [ 106 / 106 ] simplifiying candidate #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) 0)))>
2.987 * [simplify]: Simplified (2 2 2) to (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) 0)))
2.987 * * * [progress]: adding candidates to table
4.081 * * [progress]: iteration 3 / 4
4.081 * * * [progress]: picking best candidate
4.084 * * * * [pick]: Picked  #<alt (λ (x y) -1)>
4.084 * * * [progress]: localizing error
4.084 * * * [progress]: generating rewritten candidates
4.084 * * * [progress]: generating series expansions
4.084 * * * [progress]: simplifying candidates
4.084 * [simplify]: Simplifying 
4.084 * * [simplify]: iteration 1: (0 enodes)
4.085 * * [simplify]: Extracting #0: cost 0 inf + 0
4.085 * [simplify]: Simplified to 
4.085 * * * [progress]: adding candidates to table
4.085 * * [progress]: iteration 4 / 4
4.085 * * * [progress]: picking best candidate
4.086 * * * * [pick]: Picked  #<alt (λ (x y) 1)>
4.086 * * * [progress]: localizing error
4.087 * * * [progress]: generating rewritten candidates
4.087 * * * [progress]: generating series expansions
4.087 * * * [progress]: simplifying candidates
4.087 * [simplify]: Simplifying 
4.087 * * [simplify]: iteration 1: (0 enodes)
4.087 * * [simplify]: Extracting #0: cost 0 inf + 0
4.087 * [simplify]: Simplified to 
4.087 * * * [progress]: adding candidates to table
4.087 * [progress]: [Phase 3 of 3] Extracting.
4.087 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) -1)> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))> #<alt (λ (x y) 1)>)
4.088 * * * [regime-changes]: Trying 2 branch expressions: (y x)
4.088 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) -1)> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))> #<alt (λ (x y) 1)>)
4.138 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) -1)> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))> #<alt (λ (x y) 1)>)
4.181 * * * [regime]: Found split indices: #<option (#s(si 0 41) #s(si 1 117) #s(si 2 203) #s(si 1 255))>
4.182 * [binary-search]: Improving bounds with binary search for y and (#<alt (λ (x y) -1)> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))> #<alt (λ (x y) 1)>)
4.331 * [regimes]: Found splitpoints: (#s(sp 0 y -1.3308054258701725e+154) #s(sp 1 y -3.1512930280169555e-162) #s(sp 2 y 8.250332507489211e-160) #s(sp 1 y +nan.0)) , with alts (#<alt (λ (x y) -1)> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))> #<alt (λ (x y) 1)>)
4.332 * [simplify]: Simplifying (if (<= y -1.3308054258701725e+154) -1 (if (<= y -3.1512930280169555e-162) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))) (if (<= y 8.250332507489211e-160) 1 (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))
4.333 * * [simplify]: iteration 1: (21 enodes)
4.335 * * [simplify]: iteration 2: (27 enodes)
4.337 * * [simplify]: Extracting #0: cost 1 inf + 0
4.337 * * [simplify]: Extracting #1: cost 4 inf + 0
4.337 * * [simplify]: Extracting #2: cost 10 inf + 1
4.337 * * [simplify]: Extracting #3: cost 12 inf + 4
4.338 * * [simplify]: Extracting #4: cost 13 inf + 139
4.338 * * [simplify]: Extracting #5: cost 15 inf + 140
4.338 * * [simplify]: Extracting #6: cost 9 inf + 574
4.338 * * [simplify]: Extracting #7: cost 4 inf + 1565
4.339 * * [simplify]: Extracting #8: cost 2 inf + 2341
4.340 * * [simplify]: Extracting #9: cost 0 inf + 3643
4.341 * [simplify]: Simplified to (if (<= y -1.3308054258701725e+154) -1 (if (<= y -3.1512930280169555e-162) (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))) (if (<= y 8.250332507489211e-160) 1 (- (/ (* x x) (+ (* x x) (* y y))) (* (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))))
6.168 * [regime-testing]: Baseline error score: 20.42675369554701
6.172 * [regime-testing]: Oracle error score: 0.4296130307813438
6.182 * [regime-testing]: End program error score: 5.111451873561627
6.250 * [regime-testing]: Target error score: 0.07400419952078607