42.224 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.119 * * * [progress]: [2/2] Setting up program.
0.124 * [progress]: [Phase 2 of 3] Improving.
0.124 * [simplify]: Simplifying:
  (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
0.124 * * [simplify]: iteration 0: 8 enodes
0.125 * * [simplify]: iteration 1: 11 enodes
0.126 * * [simplify]: iteration 2: 13 enodes
0.128 * * [simplify]: iteration complete: 13 enodes
0.128 * * [simplify]: Extracting #0: cost 1 inf + 0
0.128 * * [simplify]: Extracting #1: cost 3 inf + 0
0.128 * * [simplify]: Extracting #2: cost 4 inf + 0
0.128 * * [simplify]: Extracting #3: cost 10 inf + 0
0.128 * * [simplify]: Extracting #4: cost 6 inf + 45
0.128 * * [simplify]: Extracting #5: cost 0 inf + 811
0.128 * [simplify]: Simplified to:
  (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
0.128 * * [progress]: iteration 1 / 4
0.128 * * * [progress]: picking best candidate
0.132 * * * * [pick]: Picked  #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))>
0.132 * * * [progress]: localizing error
0.173 * * * [progress]: generating rewritten candidates
0.173 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
0.176 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.180 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
0.189 * * * [progress]: generating series expansions
0.189 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
0.189 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
0.189 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
0.189 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
0.189 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.189 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.189 * [taylor]: Taking taylor expansion of 0.5 in y
0.189 * [backup-simplify]: Simplify 0.5 into 0.5
0.189 * [taylor]: Taking taylor expansion of (/ x y) in y
0.189 * [taylor]: Taking taylor expansion of x in y
0.189 * [backup-simplify]: Simplify x into x
0.189 * [taylor]: Taking taylor expansion of y in y
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify (/ x 1) into x
0.190 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.190 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.190 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
0.190 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.190 * [taylor]: Taking taylor expansion of 0.5 in y
0.190 * [backup-simplify]: Simplify 0.5 into 0.5
0.190 * [taylor]: Taking taylor expansion of (/ x y) in y
0.190 * [taylor]: Taking taylor expansion of x in y
0.190 * [backup-simplify]: Simplify x into x
0.190 * [taylor]: Taking taylor expansion of y in y
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify (/ x 1) into x
0.190 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.190 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
0.190 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.190 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.190 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.190 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.190 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.190 * [taylor]: Taking taylor expansion of 0.5 in x
0.190 * [backup-simplify]: Simplify 0.5 into 0.5
0.190 * [taylor]: Taking taylor expansion of (/ x y) in x
0.190 * [taylor]: Taking taylor expansion of x in x
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.191 * [taylor]: Taking taylor expansion of y in x
0.191 * [backup-simplify]: Simplify y into y
0.191 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.191 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.191 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.191 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.191 * [taylor]: Taking taylor expansion of 0.5 in x
0.191 * [backup-simplify]: Simplify 0.5 into 0.5
0.191 * [taylor]: Taking taylor expansion of (/ x y) in x
0.191 * [taylor]: Taking taylor expansion of x in x
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 1 into 1
0.191 * [taylor]: Taking taylor expansion of y in x
0.191 * [backup-simplify]: Simplify y into y
0.191 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.191 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.192 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.192 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.192 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.192 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.192 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.192 * [taylor]: Taking taylor expansion of 0.5 in x
0.192 * [backup-simplify]: Simplify 0.5 into 0.5
0.192 * [taylor]: Taking taylor expansion of (/ x y) in x
0.192 * [taylor]: Taking taylor expansion of x in x
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [taylor]: Taking taylor expansion of y in x
0.192 * [backup-simplify]: Simplify y into y
0.192 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.192 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.192 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.192 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.192 * [taylor]: Taking taylor expansion of 0.5 in x
0.192 * [backup-simplify]: Simplify 0.5 into 0.5
0.192 * [taylor]: Taking taylor expansion of (/ x y) in x
0.192 * [taylor]: Taking taylor expansion of x in x
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [taylor]: Taking taylor expansion of y in x
0.192 * [backup-simplify]: Simplify y into y
0.192 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.192 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.192 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.192 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
0.192 * [taylor]: Taking taylor expansion of 0.5 in y
0.192 * [backup-simplify]: Simplify 0.5 into 0.5
0.192 * [taylor]: Taking taylor expansion of y in y
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 1 into 1
0.193 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
0.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.194 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.194 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.195 * [backup-simplify]: Simplify (+ 0) into 0
0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
0.195 * [taylor]: Taking taylor expansion of 0 in y
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
0.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
0.198 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3)))
0.198 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
0.198 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
0.198 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
0.198 * [taylor]: Taking taylor expansion of (pow y 3) in y
0.198 * [taylor]: Taking taylor expansion of y in y
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.199 * [backup-simplify]: Simplify (/ 1 1) into 1
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.204 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
0.205 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
0.205 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.205 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.206 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.206 * [taylor]: Taking taylor expansion of 0.5 in y
0.206 * [backup-simplify]: Simplify 0.5 into 0.5
0.206 * [taylor]: Taking taylor expansion of (/ y x) in y
0.206 * [taylor]: Taking taylor expansion of y in y
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [taylor]: Taking taylor expansion of x in y
0.206 * [backup-simplify]: Simplify x into x
0.206 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.206 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.206 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.206 * [taylor]: Taking taylor expansion of 0.5 in y
0.206 * [backup-simplify]: Simplify 0.5 into 0.5
0.206 * [taylor]: Taking taylor expansion of (/ y x) in y
0.206 * [taylor]: Taking taylor expansion of y in y
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [taylor]: Taking taylor expansion of x in y
0.206 * [backup-simplify]: Simplify x into x
0.206 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.206 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.206 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.207 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.207 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.207 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.207 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.207 * [taylor]: Taking taylor expansion of 0.5 in x
0.207 * [backup-simplify]: Simplify 0.5 into 0.5
0.207 * [taylor]: Taking taylor expansion of (/ y x) in x
0.207 * [taylor]: Taking taylor expansion of y in x
0.207 * [backup-simplify]: Simplify y into y
0.207 * [taylor]: Taking taylor expansion of x in x
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (/ y 1) into y
0.207 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.207 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.207 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.207 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.207 * [taylor]: Taking taylor expansion of 0.5 in x
0.207 * [backup-simplify]: Simplify 0.5 into 0.5
0.207 * [taylor]: Taking taylor expansion of (/ y x) in x
0.207 * [taylor]: Taking taylor expansion of y in x
0.207 * [backup-simplify]: Simplify y into y
0.207 * [taylor]: Taking taylor expansion of x in x
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (/ y 1) into y
0.207 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.207 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.208 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.208 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.208 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.208 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.208 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.208 * [taylor]: Taking taylor expansion of 0.5 in x
0.208 * [backup-simplify]: Simplify 0.5 into 0.5
0.208 * [taylor]: Taking taylor expansion of (/ y x) in x
0.208 * [taylor]: Taking taylor expansion of y in x
0.208 * [backup-simplify]: Simplify y into y
0.208 * [taylor]: Taking taylor expansion of x in x
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (/ y 1) into y
0.208 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.208 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.208 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.208 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.208 * [taylor]: Taking taylor expansion of 0.5 in x
0.208 * [backup-simplify]: Simplify 0.5 into 0.5
0.208 * [taylor]: Taking taylor expansion of (/ y x) in x
0.208 * [taylor]: Taking taylor expansion of y in x
0.208 * [backup-simplify]: Simplify y into y
0.208 * [taylor]: Taking taylor expansion of x in x
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (/ y 1) into y
0.208 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.208 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.209 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.209 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
0.209 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.209 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.209 * [taylor]: Taking taylor expansion of 0.5 in y
0.209 * [backup-simplify]: Simplify 0.5 into 0.5
0.209 * [taylor]: Taking taylor expansion of (/ y x) in y
0.209 * [taylor]: Taking taylor expansion of y in y
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [taylor]: Taking taylor expansion of x in y
0.209 * [backup-simplify]: Simplify x into x
0.209 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.209 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.209 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.209 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.209 * [taylor]: Taking taylor expansion of 0.5 in y
0.209 * [backup-simplify]: Simplify 0.5 into 0.5
0.209 * [taylor]: Taking taylor expansion of (/ y x) in y
0.209 * [taylor]: Taking taylor expansion of y in y
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [taylor]: Taking taylor expansion of x in y
0.209 * [backup-simplify]: Simplify x into x
0.209 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.209 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.210 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.210 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.210 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
0.210 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.210 * [taylor]: Taking taylor expansion of 0 in y
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.211 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.211 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.212 * [backup-simplify]: Simplify (+ 0) into 0
0.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.213 * [taylor]: Taking taylor expansion of 0 in y
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.214 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
0.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.216 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
0.216 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
0.217 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.217 * [taylor]: Taking taylor expansion of 0 in y
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
0.219 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.219 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.220 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.221 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.223 * [taylor]: Taking taylor expansion of 0 in y
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
0.223 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
0.223 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
0.223 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.224 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.224 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.224 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.224 * [taylor]: Taking taylor expansion of 0.5 in y
0.224 * [backup-simplify]: Simplify 0.5 into 0.5
0.224 * [taylor]: Taking taylor expansion of (/ y x) in y
0.224 * [taylor]: Taking taylor expansion of y in y
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [taylor]: Taking taylor expansion of x in y
0.224 * [backup-simplify]: Simplify x into x
0.224 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.224 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.224 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.224 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.224 * [taylor]: Taking taylor expansion of 0.5 in y
0.224 * [backup-simplify]: Simplify 0.5 into 0.5
0.224 * [taylor]: Taking taylor expansion of (/ y x) in y
0.224 * [taylor]: Taking taylor expansion of y in y
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [taylor]: Taking taylor expansion of x in y
0.224 * [backup-simplify]: Simplify x into x
0.224 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.224 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.225 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.225 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.225 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.225 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.225 * [taylor]: Taking taylor expansion of 0.5 in x
0.225 * [backup-simplify]: Simplify 0.5 into 0.5
0.225 * [taylor]: Taking taylor expansion of (/ y x) in x
0.225 * [taylor]: Taking taylor expansion of y in x
0.225 * [backup-simplify]: Simplify y into y
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (/ y 1) into y
0.225 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.225 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.225 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.225 * [taylor]: Taking taylor expansion of 0.5 in x
0.225 * [backup-simplify]: Simplify 0.5 into 0.5
0.225 * [taylor]: Taking taylor expansion of (/ y x) in x
0.225 * [taylor]: Taking taylor expansion of y in x
0.225 * [backup-simplify]: Simplify y into y
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (/ y 1) into y
0.225 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.225 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.226 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.226 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.226 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.226 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.226 * [taylor]: Taking taylor expansion of 0.5 in x
0.226 * [backup-simplify]: Simplify 0.5 into 0.5
0.226 * [taylor]: Taking taylor expansion of (/ y x) in x
0.226 * [taylor]: Taking taylor expansion of y in x
0.226 * [backup-simplify]: Simplify y into y
0.226 * [taylor]: Taking taylor expansion of x in x
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [backup-simplify]: Simplify (/ y 1) into y
0.226 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.226 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.226 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.227 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.227 * [taylor]: Taking taylor expansion of 0.5 in x
0.227 * [backup-simplify]: Simplify 0.5 into 0.5
0.227 * [taylor]: Taking taylor expansion of (/ y x) in x
0.227 * [taylor]: Taking taylor expansion of y in x
0.227 * [backup-simplify]: Simplify y into y
0.227 * [taylor]: Taking taylor expansion of x in x
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (/ y 1) into y
0.227 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.227 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.227 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.227 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
0.227 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.227 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.227 * [taylor]: Taking taylor expansion of 0.5 in y
0.227 * [backup-simplify]: Simplify 0.5 into 0.5
0.227 * [taylor]: Taking taylor expansion of (/ y x) in y
0.227 * [taylor]: Taking taylor expansion of y in y
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [taylor]: Taking taylor expansion of x in y
0.228 * [backup-simplify]: Simplify x into x
0.228 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.228 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.228 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.228 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.228 * [taylor]: Taking taylor expansion of 0.5 in y
0.228 * [backup-simplify]: Simplify 0.5 into 0.5
0.228 * [taylor]: Taking taylor expansion of (/ y x) in y
0.228 * [taylor]: Taking taylor expansion of y in y
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.228 * [taylor]: Taking taylor expansion of x in y
0.228 * [backup-simplify]: Simplify x into x
0.228 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.228 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.228 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.228 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
0.229 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.229 * [taylor]: Taking taylor expansion of 0 in y
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.229 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.230 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.230 * [backup-simplify]: Simplify (+ 0) into 0
0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.231 * [taylor]: Taking taylor expansion of 0 in y
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
0.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.233 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
0.234 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
0.234 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.234 * [taylor]: Taking taylor expansion of 0 in y
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
0.236 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.237 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.240 * [taylor]: Taking taylor expansion of 0 in y
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
0.240 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.240 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y)))
0.241 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0
0.241 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.241 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.241 * [taylor]: Taking taylor expansion of 0.5 in y
0.241 * [backup-simplify]: Simplify 0.5 into 0.5
0.241 * [taylor]: Taking taylor expansion of (/ x y) in y
0.241 * [taylor]: Taking taylor expansion of x in y
0.241 * [backup-simplify]: Simplify x into x
0.241 * [taylor]: Taking taylor expansion of y in y
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (/ x 1) into x
0.241 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.241 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.241 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.241 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.241 * [taylor]: Taking taylor expansion of 0.5 in x
0.241 * [backup-simplify]: Simplify 0.5 into 0.5
0.241 * [taylor]: Taking taylor expansion of (/ x y) in x
0.241 * [taylor]: Taking taylor expansion of x in x
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [taylor]: Taking taylor expansion of y in x
0.241 * [backup-simplify]: Simplify y into y
0.241 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.241 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.241 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.241 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.241 * [taylor]: Taking taylor expansion of 0.5 in x
0.241 * [backup-simplify]: Simplify 0.5 into 0.5
0.241 * [taylor]: Taking taylor expansion of (/ x y) in x
0.241 * [taylor]: Taking taylor expansion of x in x
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [taylor]: Taking taylor expansion of y in x
0.242 * [backup-simplify]: Simplify y into y
0.242 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.242 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.242 * [taylor]: Taking taylor expansion of 0 in y
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.242 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y
0.242 * [taylor]: Taking taylor expansion of 0.5 in y
0.242 * [backup-simplify]: Simplify 0.5 into 0.5
0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.242 * [taylor]: Taking taylor expansion of y in y
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 1 into 1
0.242 * [backup-simplify]: Simplify (/ 1 1) into 1
0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.244 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.245 * [taylor]: Taking taylor expansion of 0 in y
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x)))
0.247 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
0.247 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.247 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.247 * [taylor]: Taking taylor expansion of 0.5 in y
0.247 * [backup-simplify]: Simplify 0.5 into 0.5
0.247 * [taylor]: Taking taylor expansion of (/ y x) in y
0.247 * [taylor]: Taking taylor expansion of y in y
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [taylor]: Taking taylor expansion of x in y
0.247 * [backup-simplify]: Simplify x into x
0.247 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.247 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.247 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.247 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.247 * [taylor]: Taking taylor expansion of 0.5 in x
0.247 * [backup-simplify]: Simplify 0.5 into 0.5
0.247 * [taylor]: Taking taylor expansion of (/ y x) in x
0.247 * [taylor]: Taking taylor expansion of y in x
0.247 * [backup-simplify]: Simplify y into y
0.247 * [taylor]: Taking taylor expansion of x in x
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (/ y 1) into y
0.248 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.248 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.248 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.248 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.248 * [taylor]: Taking taylor expansion of 0.5 in x
0.248 * [backup-simplify]: Simplify 0.5 into 0.5
0.248 * [taylor]: Taking taylor expansion of (/ y x) in x
0.248 * [taylor]: Taking taylor expansion of y in x
0.248 * [backup-simplify]: Simplify y into y
0.248 * [taylor]: Taking taylor expansion of x in x
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (/ y 1) into y
0.248 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.248 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.248 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.248 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.248 * [taylor]: Taking taylor expansion of 0.5 in y
0.248 * [backup-simplify]: Simplify 0.5 into 0.5
0.248 * [taylor]: Taking taylor expansion of (/ y x) in y
0.248 * [taylor]: Taking taylor expansion of y in y
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [taylor]: Taking taylor expansion of x in y
0.248 * [backup-simplify]: Simplify x into x
0.248 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.248 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.248 * [backup-simplify]: Simplify 0 into 0
0.249 * [taylor]: Taking taylor expansion of 0 in y
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.249 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.249 * [taylor]: Taking taylor expansion of 0 in y
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.250 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [taylor]: Taking taylor expansion of 0 in y
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y))
0.251 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x)))
0.251 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
0.251 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.251 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.251 * [taylor]: Taking taylor expansion of 0.5 in y
0.251 * [backup-simplify]: Simplify 0.5 into 0.5
0.251 * [taylor]: Taking taylor expansion of (/ y x) in y
0.251 * [taylor]: Taking taylor expansion of y in y
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of x in y
0.251 * [backup-simplify]: Simplify x into x
0.251 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.251 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.251 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.251 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.251 * [taylor]: Taking taylor expansion of 0.5 in x
0.251 * [backup-simplify]: Simplify 0.5 into 0.5
0.251 * [taylor]: Taking taylor expansion of (/ y x) in x
0.251 * [taylor]: Taking taylor expansion of y in x
0.251 * [backup-simplify]: Simplify y into y
0.251 * [taylor]: Taking taylor expansion of x in x
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (/ y 1) into y
0.251 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.252 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.252 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.252 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.252 * [taylor]: Taking taylor expansion of 0.5 in x
0.252 * [backup-simplify]: Simplify 0.5 into 0.5
0.252 * [taylor]: Taking taylor expansion of (/ y x) in x
0.252 * [taylor]: Taking taylor expansion of y in x
0.252 * [backup-simplify]: Simplify y into y
0.252 * [taylor]: Taking taylor expansion of x in x
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (/ y 1) into y
0.252 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.252 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.252 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.252 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.252 * [taylor]: Taking taylor expansion of 0.5 in y
0.252 * [backup-simplify]: Simplify 0.5 into 0.5
0.252 * [taylor]: Taking taylor expansion of (/ y x) in y
0.252 * [taylor]: Taking taylor expansion of y in y
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [taylor]: Taking taylor expansion of x in y
0.252 * [backup-simplify]: Simplify x into x
0.252 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.252 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [taylor]: Taking taylor expansion of 0 in y
0.252 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.253 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.253 * [taylor]: Taking taylor expansion of 0 in y
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.262 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [taylor]: Taking taylor expansion of 0 in y
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y))
0.262 * * * * [progress]: [ 3 / 3 ] generating series at (2)
0.263 * [backup-simplify]: Simplify (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y))))
0.263 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0
0.263 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y
0.263 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
0.263 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.263 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.263 * [taylor]: Taking taylor expansion of 0.5 in y
0.263 * [backup-simplify]: Simplify 0.5 into 0.5
0.263 * [taylor]: Taking taylor expansion of (/ x y) in y
0.263 * [taylor]: Taking taylor expansion of x in y
0.263 * [backup-simplify]: Simplify x into x
0.263 * [taylor]: Taking taylor expansion of y in y
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (/ x 1) into x
0.263 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.263 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.263 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.263 * [taylor]: Taking taylor expansion of 0.5 in y
0.263 * [backup-simplify]: Simplify 0.5 into 0.5
0.263 * [taylor]: Taking taylor expansion of (/ x y) in y
0.263 * [taylor]: Taking taylor expansion of x in y
0.264 * [backup-simplify]: Simplify x into x
0.264 * [taylor]: Taking taylor expansion of y in y
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (/ x 1) into x
0.264 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.264 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
0.264 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.264 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.264 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.264 * [taylor]: Taking taylor expansion of 0.5 in y
0.264 * [backup-simplify]: Simplify 0.5 into 0.5
0.264 * [taylor]: Taking taylor expansion of (/ x y) in y
0.264 * [taylor]: Taking taylor expansion of x in y
0.264 * [backup-simplify]: Simplify x into x
0.264 * [taylor]: Taking taylor expansion of y in y
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (/ x 1) into x
0.264 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.264 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.265 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) (sin (* 0.5 (/ x y)))) into (/ 1 (cos (* 0.5 (/ x y))))
0.265 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x
0.265 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.265 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.265 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.265 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.265 * [taylor]: Taking taylor expansion of 0.5 in x
0.265 * [backup-simplify]: Simplify 0.5 into 0.5
0.265 * [taylor]: Taking taylor expansion of (/ x y) in x
0.265 * [taylor]: Taking taylor expansion of x in x
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [taylor]: Taking taylor expansion of y in x
0.265 * [backup-simplify]: Simplify y into y
0.265 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.265 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.265 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.265 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.265 * [taylor]: Taking taylor expansion of 0.5 in x
0.265 * [backup-simplify]: Simplify 0.5 into 0.5
0.265 * [taylor]: Taking taylor expansion of (/ x y) in x
0.265 * [taylor]: Taking taylor expansion of x in x
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [taylor]: Taking taylor expansion of y in x
0.266 * [backup-simplify]: Simplify y into y
0.266 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.266 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.266 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.266 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.266 * [taylor]: Taking taylor expansion of 0.5 in x
0.266 * [backup-simplify]: Simplify 0.5 into 0.5
0.266 * [taylor]: Taking taylor expansion of (/ x y) in x
0.266 * [taylor]: Taking taylor expansion of x in x
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [taylor]: Taking taylor expansion of y in x
0.266 * [backup-simplify]: Simplify y into y
0.266 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.266 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.267 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0
0.267 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x
0.267 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.267 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.267 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.267 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.267 * [taylor]: Taking taylor expansion of 0.5 in x
0.267 * [backup-simplify]: Simplify 0.5 into 0.5
0.267 * [taylor]: Taking taylor expansion of (/ x y) in x
0.267 * [taylor]: Taking taylor expansion of x in x
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [taylor]: Taking taylor expansion of y in x
0.267 * [backup-simplify]: Simplify y into y
0.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.267 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.267 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.267 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.267 * [taylor]: Taking taylor expansion of 0.5 in x
0.267 * [backup-simplify]: Simplify 0.5 into 0.5
0.267 * [taylor]: Taking taylor expansion of (/ x y) in x
0.267 * [taylor]: Taking taylor expansion of x in x
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [taylor]: Taking taylor expansion of y in x
0.267 * [backup-simplify]: Simplify y into y
0.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.268 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.268 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.268 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.268 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.268 * [taylor]: Taking taylor expansion of 0.5 in x
0.268 * [backup-simplify]: Simplify 0.5 into 0.5
0.268 * [taylor]: Taking taylor expansion of (/ x y) in x
0.268 * [taylor]: Taking taylor expansion of x in x
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [taylor]: Taking taylor expansion of y in x
0.268 * [backup-simplify]: Simplify y into y
0.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.268 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.269 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0
0.269 * [taylor]: Taking taylor expansion of 1.0 in y
0.269 * [backup-simplify]: Simplify 1.0 into 1.0
0.269 * [backup-simplify]: Simplify 1.0 into 1.0
0.269 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.270 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.270 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.271 * [backup-simplify]: Simplify (+ 0) into 0
0.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.273 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.273 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0
0.273 * [taylor]: Taking taylor expansion of 0 in y
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.274 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
0.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
0.276 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3)))
0.277 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
0.278 * [backup-simplify]: Simplify (- (/ (* 0.04166666666666667 (/ 1 (pow y 3))) (* 0.5 (/ 1 y))) (+ (* 1.0 (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) (* 0.5 (/ 1 y)))) (* 0 (/ 0 (* 0.5 (/ 1 y)))))) into (* 0.125 (/ 1 (pow y 2)))
0.278 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y
0.278 * [taylor]: Taking taylor expansion of 0.125 in y
0.278 * [backup-simplify]: Simplify 0.125 into 0.125
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.279 * [taylor]: Taking taylor expansion of y in y
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.284 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.284 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow y 3))) (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.286 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.287 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))) (* 0 (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) (* 0.5 (/ 1 y)))) (* (* 0.125 (/ 1 (pow y 2))) (/ 0 (* 0.5 (/ 1 y)))))) into 0
0.287 * [taylor]: Taking taylor expansion of 0 in y
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1.0 into 1.0
0.288 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) (sin (/ (/ 1 x) (* (/ 1 y) 2.0)))) into (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x))))
0.288 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0
0.288 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y
0.288 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.288 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.288 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.288 * [taylor]: Taking taylor expansion of 0.5 in y
0.288 * [backup-simplify]: Simplify 0.5 into 0.5
0.288 * [taylor]: Taking taylor expansion of (/ y x) in y
0.288 * [taylor]: Taking taylor expansion of y in y
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [taylor]: Taking taylor expansion of x in y
0.288 * [backup-simplify]: Simplify x into x
0.288 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.288 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.288 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.288 * [taylor]: Taking taylor expansion of 0.5 in y
0.288 * [backup-simplify]: Simplify 0.5 into 0.5
0.288 * [taylor]: Taking taylor expansion of (/ y x) in y
0.288 * [taylor]: Taking taylor expansion of y in y
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [taylor]: Taking taylor expansion of x in y
0.288 * [backup-simplify]: Simplify x into x
0.288 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.288 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.288 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.288 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.288 * [taylor]: Taking taylor expansion of 0.5 in y
0.288 * [backup-simplify]: Simplify 0.5 into 0.5
0.288 * [taylor]: Taking taylor expansion of (/ y x) in y
0.289 * [taylor]: Taking taylor expansion of y in y
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [taylor]: Taking taylor expansion of x in y
0.289 * [backup-simplify]: Simplify x into x
0.289 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.289 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.289 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0
0.289 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.289 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.289 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.289 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.289 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.289 * [taylor]: Taking taylor expansion of 0.5 in x
0.289 * [backup-simplify]: Simplify 0.5 into 0.5
0.289 * [taylor]: Taking taylor expansion of (/ y x) in x
0.289 * [taylor]: Taking taylor expansion of y in x
0.289 * [backup-simplify]: Simplify y into y
0.289 * [taylor]: Taking taylor expansion of x in x
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (/ y 1) into y
0.289 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.289 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.289 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.289 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.289 * [taylor]: Taking taylor expansion of 0.5 in x
0.289 * [backup-simplify]: Simplify 0.5 into 0.5
0.289 * [taylor]: Taking taylor expansion of (/ y x) in x
0.289 * [taylor]: Taking taylor expansion of y in x
0.289 * [backup-simplify]: Simplify y into y
0.289 * [taylor]: Taking taylor expansion of x in x
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (/ y 1) into y
0.289 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.289 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.290 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.290 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.290 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.290 * [taylor]: Taking taylor expansion of 0.5 in x
0.290 * [backup-simplify]: Simplify 0.5 into 0.5
0.290 * [taylor]: Taking taylor expansion of (/ y x) in x
0.290 * [taylor]: Taking taylor expansion of y in x
0.290 * [backup-simplify]: Simplify y into y
0.290 * [taylor]: Taking taylor expansion of x in x
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (/ y 1) into y
0.290 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.290 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.290 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x))))
0.290 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.290 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.290 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.290 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.290 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.290 * [taylor]: Taking taylor expansion of 0.5 in x
0.290 * [backup-simplify]: Simplify 0.5 into 0.5
0.290 * [taylor]: Taking taylor expansion of (/ y x) in x
0.290 * [taylor]: Taking taylor expansion of y in x
0.290 * [backup-simplify]: Simplify y into y
0.290 * [taylor]: Taking taylor expansion of x in x
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (/ y 1) into y
0.290 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.290 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.290 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.290 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.291 * [taylor]: Taking taylor expansion of 0.5 in x
0.291 * [backup-simplify]: Simplify 0.5 into 0.5
0.291 * [taylor]: Taking taylor expansion of (/ y x) in x
0.291 * [taylor]: Taking taylor expansion of y in x
0.291 * [backup-simplify]: Simplify y into y
0.291 * [taylor]: Taking taylor expansion of x in x
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (/ y 1) into y
0.291 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.291 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.291 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.291 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.291 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.291 * [taylor]: Taking taylor expansion of 0.5 in x
0.291 * [backup-simplify]: Simplify 0.5 into 0.5
0.291 * [taylor]: Taking taylor expansion of (/ y x) in x
0.291 * [taylor]: Taking taylor expansion of y in x
0.291 * [backup-simplify]: Simplify y into y
0.291 * [taylor]: Taking taylor expansion of x in x
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (/ y 1) into y
0.291 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.291 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.291 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x))))
0.291 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y
0.291 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.291 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.291 * [taylor]: Taking taylor expansion of 0.5 in y
0.291 * [backup-simplify]: Simplify 0.5 into 0.5
0.291 * [taylor]: Taking taylor expansion of (/ y x) in y
0.291 * [taylor]: Taking taylor expansion of y in y
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [taylor]: Taking taylor expansion of x in y
0.292 * [backup-simplify]: Simplify x into x
0.292 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.292 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.292 * [backup-simplify]: Simplify (/ 1 1) into 1
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.292 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.292 * [taylor]: Taking taylor expansion of 0 in y
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (+ 0) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.294 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.294 * [taylor]: Taking taylor expansion of 0 in y
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2)))
0.295 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2))
0.295 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.295 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.295 * [taylor]: Taking taylor expansion of 0 in y
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.298 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.298 * [taylor]: Taking taylor expansion of 0 in y
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (/ 1 x) 2)) (pow (* (/ 1 y) 1) 2)) 1) into (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1)
0.299 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x))))
0.299 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0
0.299 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y
0.299 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.299 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.299 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.299 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.299 * [taylor]: Taking taylor expansion of 0.5 in y
0.299 * [backup-simplify]: Simplify 0.5 into 0.5
0.299 * [taylor]: Taking taylor expansion of (/ y x) in y
0.299 * [taylor]: Taking taylor expansion of y in y
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [taylor]: Taking taylor expansion of x in y
0.299 * [backup-simplify]: Simplify x into x
0.299 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.299 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.299 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.299 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.299 * [taylor]: Taking taylor expansion of 0.5 in y
0.299 * [backup-simplify]: Simplify 0.5 into 0.5
0.299 * [taylor]: Taking taylor expansion of (/ y x) in y
0.299 * [taylor]: Taking taylor expansion of y in y
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [taylor]: Taking taylor expansion of x in y
0.299 * [backup-simplify]: Simplify x into x
0.299 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.299 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.299 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.299 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.299 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.299 * [taylor]: Taking taylor expansion of 0.5 in y
0.300 * [backup-simplify]: Simplify 0.5 into 0.5
0.300 * [taylor]: Taking taylor expansion of (/ y x) in y
0.300 * [taylor]: Taking taylor expansion of y in y
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [taylor]: Taking taylor expansion of x in y
0.300 * [backup-simplify]: Simplify x into x
0.300 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.300 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.300 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0
0.300 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.300 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.300 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.300 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.300 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.300 * [taylor]: Taking taylor expansion of 0.5 in x
0.300 * [backup-simplify]: Simplify 0.5 into 0.5
0.300 * [taylor]: Taking taylor expansion of (/ y x) in x
0.300 * [taylor]: Taking taylor expansion of y in x
0.300 * [backup-simplify]: Simplify y into y
0.300 * [taylor]: Taking taylor expansion of x in x
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (/ y 1) into y
0.300 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.300 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.300 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.300 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.300 * [taylor]: Taking taylor expansion of 0.5 in x
0.300 * [backup-simplify]: Simplify 0.5 into 0.5
0.300 * [taylor]: Taking taylor expansion of (/ y x) in x
0.300 * [taylor]: Taking taylor expansion of y in x
0.300 * [backup-simplify]: Simplify y into y
0.300 * [taylor]: Taking taylor expansion of x in x
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (/ y 1) into y
0.300 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.301 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.301 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.301 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.301 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.301 * [taylor]: Taking taylor expansion of 0.5 in x
0.301 * [backup-simplify]: Simplify 0.5 into 0.5
0.301 * [taylor]: Taking taylor expansion of (/ y x) in x
0.301 * [taylor]: Taking taylor expansion of y in x
0.301 * [backup-simplify]: Simplify y into y
0.301 * [taylor]: Taking taylor expansion of x in x
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (/ y 1) into y
0.301 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.301 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.301 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x))))
0.301 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.301 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.301 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.301 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.301 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.301 * [taylor]: Taking taylor expansion of 0.5 in x
0.301 * [backup-simplify]: Simplify 0.5 into 0.5
0.301 * [taylor]: Taking taylor expansion of (/ y x) in x
0.301 * [taylor]: Taking taylor expansion of y in x
0.301 * [backup-simplify]: Simplify y into y
0.301 * [taylor]: Taking taylor expansion of x in x
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (/ y 1) into y
0.301 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.301 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.301 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.302 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.302 * [taylor]: Taking taylor expansion of 0.5 in x
0.302 * [backup-simplify]: Simplify 0.5 into 0.5
0.302 * [taylor]: Taking taylor expansion of (/ y x) in x
0.302 * [taylor]: Taking taylor expansion of y in x
0.302 * [backup-simplify]: Simplify y into y
0.302 * [taylor]: Taking taylor expansion of x in x
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (/ y 1) into y
0.302 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.302 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.302 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.302 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.302 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.302 * [taylor]: Taking taylor expansion of 0.5 in x
0.302 * [backup-simplify]: Simplify 0.5 into 0.5
0.302 * [taylor]: Taking taylor expansion of (/ y x) in x
0.302 * [taylor]: Taking taylor expansion of y in x
0.302 * [backup-simplify]: Simplify y into y
0.302 * [taylor]: Taking taylor expansion of x in x
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (/ y 1) into y
0.302 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.302 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.302 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x))))
0.302 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y
0.302 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.302 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.302 * [taylor]: Taking taylor expansion of 0.5 in y
0.302 * [backup-simplify]: Simplify 0.5 into 0.5
0.302 * [taylor]: Taking taylor expansion of (/ y x) in y
0.302 * [taylor]: Taking taylor expansion of y in y
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of x in y
0.303 * [backup-simplify]: Simplify x into x
0.303 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.303 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.303 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.303 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.303 * [taylor]: Taking taylor expansion of 0 in y
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (+ 0) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.306 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.306 * [taylor]: Taking taylor expansion of 0 in y
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2)))
0.307 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2))
0.308 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.308 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.308 * [taylor]: Taking taylor expansion of 0 in y
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.310 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.312 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.312 * [taylor]: Taking taylor expansion of 0 in y
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (/ 1 (- x)) 2)) (pow (* (/ 1 (- y)) 1) 2)) 1) into (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1)
0.313 * * * [progress]: simplifying candidates
0.314 * [simplify]: Simplifying:
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (log (sin (/ x (* y 2.0))))
  (exp (sin (/ x (* y 2.0))))
  (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))
  (cbrt (sin (/ x (* y 2.0))))
  (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  (- (log (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))))
  (log (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (exp (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (/ (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))
  (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))))
  (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (* (* (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (- (tan (/ x (* y 2.0))))
  (- (sin (/ x (* y 2.0))))
  (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))))
  (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))
  (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0)))))
  (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))
  (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1)
  (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
  (/ (sqrt (tan (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))))
  (/ (sqrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))
  (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))
  (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))
  (/ (sqrt (tan (/ x (* y 2.0)))) 1)
  (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
  (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))))
  (/ (tan (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0)))))
  (/ 1 (sqrt (sin (/ x (* y 2.0)))))
  (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0)))))
  (/ 1 1)
  (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
  (/ 1 (sin (/ x (* y 2.0))))
  (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
  (/ (tan (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))))
  (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0)))))
  (/ (tan (/ x (* y 2.0))) 1)
  (/ (sin (/ x (* y 2.0))) (cbrt (tan (/ x (* y 2.0)))))
  (/ (sin (/ x (* y 2.0))) (sqrt (tan (/ x (* y 2.0)))))
  (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
  (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (* 0.5 (/ x y))
  (* 0.5 (/ x y))
  1.0
  (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1)
  (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1)
0.315 * * [simplify]: iteration 0: 77 enodes
0.335 * * [simplify]: iteration 1: 144 enodes
0.381 * * [simplify]: iteration 2: 494 enodes
0.660 * * [simplify]: iteration 3: 3170 enodes
1.223 * * [simplify]: iteration complete: 5002 enodes
1.223 * * [simplify]: Extracting #0: cost 49 inf + 0
1.224 * * [simplify]: Extracting #1: cost 292 inf + 3
1.227 * * [simplify]: Extracting #2: cost 716 inf + 288
1.245 * * [simplify]: Extracting #3: cost 1671 inf + 20708
1.273 * * [simplify]: Extracting #4: cost 1182 inf + 175396
1.319 * * [simplify]: Extracting #5: cost 321 inf + 358008
1.393 * * [simplify]: Extracting #6: cost 22 inf + 457160
1.476 * * [simplify]: Extracting #7: cost 0 inf + 464512
1.556 * [simplify]: Simplified to:
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (log (sin (/ x (* 2.0 y))))
  (exp (sin (/ x (* 2.0 y))))
  (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))
  (cbrt (sin (/ x (* 2.0 y))))
  (* (* (sin (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y))))
  (sqrt (sin (/ x (* 2.0 y))))
  (sqrt (sin (/ x (* 2.0 y))))
  (log (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (log (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (exp (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))))
  (* (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))))
  (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))))
  (sqrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (sqrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (- (tan (/ x (* 2.0 y))))
  (- (sin (/ x (* 2.0 y))))
  (* (/ (cbrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (/ (cbrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))))
  (/ (cbrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))
  (/ (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (sqrt (sin (/ x (* 2.0 y)))))
  (/ (cbrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (/ (cbrt (tan (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y))))
  (/ (/ (sqrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (cbrt (sin (/ x (* 2.0 y)))))
  (/ (sqrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))
  (/ (sqrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))))
  (/ (sqrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))))
  (sqrt (tan (/ x (* 2.0 y))))
  (/ (sqrt (tan (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y))))
  (/ 1 (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))))
  (/ (tan (/ x (* 2.0 y))) (cbrt (sin (/ x (* 2.0 y)))))
  (/ 1 (sqrt (sin (/ x (* 2.0 y)))))
  (/ (tan (/ x (* 2.0 y))) (sqrt (sin (/ x (* 2.0 y)))))
  1
  (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
  (/ 1 (sin (/ x (* 2.0 y))))
  (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y))))
  (/ (tan (/ x (* 2.0 y))) (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))))
  (/ (tan (/ x (* 2.0 y))) (sqrt (sin (/ x (* 2.0 y)))))
  (tan (/ x (* 2.0 y)))
  (/ (sin (/ x (* 2.0 y))) (cbrt (tan (/ x (* 2.0 y)))))
  (/ (sin (/ x (* 2.0 y))) (sqrt (tan (/ x (* 2.0 y)))))
  (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y))))
  (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
  0
  (+ (/ 0.5 (/ y x)) (* (* 0.04166666666666667 (/ x y)) (* (/ x y) (/ x y))))
  (+ (/ 0.5 (/ y x)) (* (* 0.04166666666666667 (/ x y)) (* (/ x y) (/ x y))))
  0
  (/ 0.5 (/ y x))
  (/ 0.5 (/ y x))
  1.0
  (+ (* 0.125 (* (/ x y) (/ x y))) 1)
  (+ (* 0.125 (* (/ x y) (/ x y))) 1)
1.560 * * * [progress]: adding candidates to table
1.850 * * [progress]: iteration 2 / 4
1.850 * * * [progress]: picking best candidate
1.892 * * * * [pick]: Picked  #<alt (λ (x y) 1.0)>
1.892 * * * [progress]: localizing error
1.893 * * * [progress]: generating rewritten candidates
1.893 * * * [progress]: generating series expansions
1.893 * * * [progress]: simplifying candidates
1.893 * [simplify]: Simplifying:
  
1.893 * * [simplify]: iteration 0: 0 enodes
1.893 * * [simplify]: iteration complete: 0 enodes
1.893 * * [simplify]: Extracting #0: cost 0 inf + 0
1.893 * [simplify]: Simplified to:
  
1.893 * * * [progress]: adding candidates to table
1.893 * * [progress]: iteration 3 / 4
1.893 * * * [progress]: picking best candidate
1.934 * * * * [pick]: Picked  #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))>
1.934 * * * [progress]: localizing error
1.977 * * * [progress]: generating rewritten candidates
1.977 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
1.979 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1)
1.982 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
1.984 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
1.988 * * * [progress]: generating series expansions
1.988 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
1.988 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
1.988 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
1.988 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
1.988 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
1.988 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
1.988 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
1.988 * [taylor]: Taking taylor expansion of 0.5 in y
1.988 * [backup-simplify]: Simplify 0.5 into 0.5
1.988 * [taylor]: Taking taylor expansion of (/ x y) in y
1.988 * [taylor]: Taking taylor expansion of x in y
1.988 * [backup-simplify]: Simplify x into x
1.988 * [taylor]: Taking taylor expansion of y in y
1.989 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify 1 into 1
1.989 * [backup-simplify]: Simplify (/ x 1) into x
1.989 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
1.989 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
1.989 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
1.989 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
1.989 * [taylor]: Taking taylor expansion of 0.5 in y
1.989 * [backup-simplify]: Simplify 0.5 into 0.5
1.989 * [taylor]: Taking taylor expansion of (/ x y) in y
1.989 * [taylor]: Taking taylor expansion of x in y
1.989 * [backup-simplify]: Simplify x into x
1.989 * [taylor]: Taking taylor expansion of y in y
1.989 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify 1 into 1
1.989 * [backup-simplify]: Simplify (/ x 1) into x
1.989 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
1.989 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
1.989 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
1.989 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
1.989 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
1.989 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
1.989 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
1.989 * [taylor]: Taking taylor expansion of 0.5 in x
1.989 * [backup-simplify]: Simplify 0.5 into 0.5
1.989 * [taylor]: Taking taylor expansion of (/ x y) in x
1.989 * [taylor]: Taking taylor expansion of x in x
1.989 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify 1 into 1
1.989 * [taylor]: Taking taylor expansion of y in x
1.989 * [backup-simplify]: Simplify y into y
1.989 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.989 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
1.989 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
1.989 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
1.989 * [taylor]: Taking taylor expansion of 0.5 in x
1.989 * [backup-simplify]: Simplify 0.5 into 0.5
1.989 * [taylor]: Taking taylor expansion of (/ x y) in x
1.989 * [taylor]: Taking taylor expansion of x in x
1.989 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify 1 into 1
1.990 * [taylor]: Taking taylor expansion of y in x
1.990 * [backup-simplify]: Simplify y into y
1.990 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.990 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
1.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
1.990 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
1.990 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
1.990 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
1.990 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
1.990 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
1.990 * [taylor]: Taking taylor expansion of 0.5 in x
1.990 * [backup-simplify]: Simplify 0.5 into 0.5
1.990 * [taylor]: Taking taylor expansion of (/ x y) in x
1.990 * [taylor]: Taking taylor expansion of x in x
1.990 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify 1 into 1
1.990 * [taylor]: Taking taylor expansion of y in x
1.990 * [backup-simplify]: Simplify y into y
1.990 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.990 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
1.990 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
1.990 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
1.990 * [taylor]: Taking taylor expansion of 0.5 in x
1.990 * [backup-simplify]: Simplify 0.5 into 0.5
1.990 * [taylor]: Taking taylor expansion of (/ x y) in x
1.990 * [taylor]: Taking taylor expansion of x in x
1.990 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify 1 into 1
1.990 * [taylor]: Taking taylor expansion of y in x
1.990 * [backup-simplify]: Simplify y into y
1.990 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.990 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
1.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
1.991 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
1.991 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
1.991 * [taylor]: Taking taylor expansion of 0.5 in y
1.991 * [backup-simplify]: Simplify 0.5 into 0.5
1.991 * [taylor]: Taking taylor expansion of y in y
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 1 into 1
1.991 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
1.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
1.992 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
1.993 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.993 * [backup-simplify]: Simplify (+ 0) into 0
1.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
1.993 * [taylor]: Taking taylor expansion of 0 in y
1.993 * [backup-simplify]: Simplify 0 into 0
1.993 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.995 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
1.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
1.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
1.996 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3)))
1.996 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
1.996 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
1.996 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
1.996 * [taylor]: Taking taylor expansion of (pow y 3) in y
1.996 * [taylor]: Taking taylor expansion of y in y
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 1 into 1
1.997 * [backup-simplify]: Simplify (* 1 1) into 1
1.997 * [backup-simplify]: Simplify (* 1 1) into 1
1.997 * [backup-simplify]: Simplify (/ 1 1) into 1
1.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.006 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.006 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
2.007 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.007 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.007 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.007 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.007 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.007 * [taylor]: Taking taylor expansion of 0.5 in y
2.007 * [backup-simplify]: Simplify 0.5 into 0.5
2.007 * [taylor]: Taking taylor expansion of (/ y x) in y
2.007 * [taylor]: Taking taylor expansion of y in y
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify 1 into 1
2.007 * [taylor]: Taking taylor expansion of x in y
2.007 * [backup-simplify]: Simplify x into x
2.007 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.007 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.007 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.008 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.008 * [taylor]: Taking taylor expansion of 0.5 in y
2.008 * [backup-simplify]: Simplify 0.5 into 0.5
2.008 * [taylor]: Taking taylor expansion of (/ y x) in y
2.008 * [taylor]: Taking taylor expansion of y in y
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify 1 into 1
2.008 * [taylor]: Taking taylor expansion of x in y
2.008 * [backup-simplify]: Simplify x into x
2.008 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.008 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.008 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.008 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.008 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.008 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.008 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.008 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.008 * [taylor]: Taking taylor expansion of 0.5 in x
2.008 * [backup-simplify]: Simplify 0.5 into 0.5
2.008 * [taylor]: Taking taylor expansion of (/ y x) in x
2.008 * [taylor]: Taking taylor expansion of y in x
2.008 * [backup-simplify]: Simplify y into y
2.008 * [taylor]: Taking taylor expansion of x in x
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify 1 into 1
2.008 * [backup-simplify]: Simplify (/ y 1) into y
2.008 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.008 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.008 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.008 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.008 * [taylor]: Taking taylor expansion of 0.5 in x
2.008 * [backup-simplify]: Simplify 0.5 into 0.5
2.008 * [taylor]: Taking taylor expansion of (/ y x) in x
2.008 * [taylor]: Taking taylor expansion of y in x
2.008 * [backup-simplify]: Simplify y into y
2.008 * [taylor]: Taking taylor expansion of x in x
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify 1 into 1
2.008 * [backup-simplify]: Simplify (/ y 1) into y
2.008 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.009 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.009 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.009 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.009 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.009 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.009 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.009 * [taylor]: Taking taylor expansion of 0.5 in x
2.009 * [backup-simplify]: Simplify 0.5 into 0.5
2.009 * [taylor]: Taking taylor expansion of (/ y x) in x
2.009 * [taylor]: Taking taylor expansion of y in x
2.009 * [backup-simplify]: Simplify y into y
2.009 * [taylor]: Taking taylor expansion of x in x
2.009 * [backup-simplify]: Simplify 0 into 0
2.009 * [backup-simplify]: Simplify 1 into 1
2.009 * [backup-simplify]: Simplify (/ y 1) into y
2.009 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.009 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.009 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.009 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.009 * [taylor]: Taking taylor expansion of 0.5 in x
2.009 * [backup-simplify]: Simplify 0.5 into 0.5
2.009 * [taylor]: Taking taylor expansion of (/ y x) in x
2.009 * [taylor]: Taking taylor expansion of y in x
2.009 * [backup-simplify]: Simplify y into y
2.009 * [taylor]: Taking taylor expansion of x in x
2.009 * [backup-simplify]: Simplify 0 into 0
2.009 * [backup-simplify]: Simplify 1 into 1
2.009 * [backup-simplify]: Simplify (/ y 1) into y
2.009 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.009 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.010 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.010 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.010 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.010 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.010 * [taylor]: Taking taylor expansion of 0.5 in y
2.010 * [backup-simplify]: Simplify 0.5 into 0.5
2.010 * [taylor]: Taking taylor expansion of (/ y x) in y
2.010 * [taylor]: Taking taylor expansion of y in y
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 1 into 1
2.010 * [taylor]: Taking taylor expansion of x in y
2.010 * [backup-simplify]: Simplify x into x
2.010 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.010 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.010 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.010 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.010 * [taylor]: Taking taylor expansion of 0.5 in y
2.010 * [backup-simplify]: Simplify 0.5 into 0.5
2.010 * [taylor]: Taking taylor expansion of (/ y x) in y
2.010 * [taylor]: Taking taylor expansion of y in y
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 1 into 1
2.010 * [taylor]: Taking taylor expansion of x in y
2.010 * [backup-simplify]: Simplify x into x
2.010 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.010 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.010 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.010 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.010 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.011 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.011 * [taylor]: Taking taylor expansion of 0 in y
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.011 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.012 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.012 * [backup-simplify]: Simplify (+ 0) into 0
2.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.012 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.013 * [taylor]: Taking taylor expansion of 0 in y
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.014 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.014 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.015 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
2.016 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.016 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.016 * [taylor]: Taking taylor expansion of 0 in y
2.016 * [backup-simplify]: Simplify 0 into 0
2.016 * [backup-simplify]: Simplify 0 into 0
2.016 * [backup-simplify]: Simplify 0 into 0
2.016 * [backup-simplify]: Simplify 0 into 0
2.017 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.018 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.019 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.019 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.019 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.020 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.021 * [taylor]: Taking taylor expansion of 0 in y
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
2.022 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
2.022 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.022 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.022 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.022 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.022 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.022 * [taylor]: Taking taylor expansion of 0.5 in y
2.022 * [backup-simplify]: Simplify 0.5 into 0.5
2.022 * [taylor]: Taking taylor expansion of (/ y x) in y
2.022 * [taylor]: Taking taylor expansion of y in y
2.022 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify 1 into 1
2.022 * [taylor]: Taking taylor expansion of x in y
2.022 * [backup-simplify]: Simplify x into x
2.022 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.022 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.022 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.022 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.022 * [taylor]: Taking taylor expansion of 0.5 in y
2.022 * [backup-simplify]: Simplify 0.5 into 0.5
2.022 * [taylor]: Taking taylor expansion of (/ y x) in y
2.022 * [taylor]: Taking taylor expansion of y in y
2.022 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify 1 into 1
2.022 * [taylor]: Taking taylor expansion of x in y
2.022 * [backup-simplify]: Simplify x into x
2.022 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.022 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.022 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.022 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.023 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.023 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.023 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.023 * [taylor]: Taking taylor expansion of 0.5 in x
2.023 * [backup-simplify]: Simplify 0.5 into 0.5
2.023 * [taylor]: Taking taylor expansion of (/ y x) in x
2.023 * [taylor]: Taking taylor expansion of y in x
2.023 * [backup-simplify]: Simplify y into y
2.023 * [taylor]: Taking taylor expansion of x in x
2.023 * [backup-simplify]: Simplify 0 into 0
2.023 * [backup-simplify]: Simplify 1 into 1
2.023 * [backup-simplify]: Simplify (/ y 1) into y
2.023 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.023 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.023 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.023 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.023 * [taylor]: Taking taylor expansion of 0.5 in x
2.023 * [backup-simplify]: Simplify 0.5 into 0.5
2.023 * [taylor]: Taking taylor expansion of (/ y x) in x
2.023 * [taylor]: Taking taylor expansion of y in x
2.023 * [backup-simplify]: Simplify y into y
2.023 * [taylor]: Taking taylor expansion of x in x
2.023 * [backup-simplify]: Simplify 0 into 0
2.023 * [backup-simplify]: Simplify 1 into 1
2.023 * [backup-simplify]: Simplify (/ y 1) into y
2.023 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.023 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.023 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.023 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.023 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.023 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.023 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.023 * [taylor]: Taking taylor expansion of 0.5 in x
2.023 * [backup-simplify]: Simplify 0.5 into 0.5
2.023 * [taylor]: Taking taylor expansion of (/ y x) in x
2.023 * [taylor]: Taking taylor expansion of y in x
2.023 * [backup-simplify]: Simplify y into y
2.023 * [taylor]: Taking taylor expansion of x in x
2.023 * [backup-simplify]: Simplify 0 into 0
2.023 * [backup-simplify]: Simplify 1 into 1
2.023 * [backup-simplify]: Simplify (/ y 1) into y
2.024 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.024 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.024 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.024 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.024 * [taylor]: Taking taylor expansion of 0.5 in x
2.024 * [backup-simplify]: Simplify 0.5 into 0.5
2.024 * [taylor]: Taking taylor expansion of (/ y x) in x
2.024 * [taylor]: Taking taylor expansion of y in x
2.024 * [backup-simplify]: Simplify y into y
2.024 * [taylor]: Taking taylor expansion of x in x
2.024 * [backup-simplify]: Simplify 0 into 0
2.024 * [backup-simplify]: Simplify 1 into 1
2.024 * [backup-simplify]: Simplify (/ y 1) into y
2.024 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.024 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.024 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.024 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.024 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.024 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.024 * [taylor]: Taking taylor expansion of 0.5 in y
2.024 * [backup-simplify]: Simplify 0.5 into 0.5
2.024 * [taylor]: Taking taylor expansion of (/ y x) in y
2.024 * [taylor]: Taking taylor expansion of y in y
2.024 * [backup-simplify]: Simplify 0 into 0
2.024 * [backup-simplify]: Simplify 1 into 1
2.024 * [taylor]: Taking taylor expansion of x in y
2.024 * [backup-simplify]: Simplify x into x
2.024 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.024 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.024 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.024 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.024 * [taylor]: Taking taylor expansion of 0.5 in y
2.024 * [backup-simplify]: Simplify 0.5 into 0.5
2.024 * [taylor]: Taking taylor expansion of (/ y x) in y
2.024 * [taylor]: Taking taylor expansion of y in y
2.024 * [backup-simplify]: Simplify 0 into 0
2.024 * [backup-simplify]: Simplify 1 into 1
2.024 * [taylor]: Taking taylor expansion of x in y
2.024 * [backup-simplify]: Simplify x into x
2.024 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.025 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.025 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.025 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.025 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.025 * [taylor]: Taking taylor expansion of 0 in y
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.025 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.026 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.026 * [backup-simplify]: Simplify (+ 0) into 0
2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.027 * [taylor]: Taking taylor expansion of 0 in y
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.028 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.028 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.028 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.029 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
2.029 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.030 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.030 * [taylor]: Taking taylor expansion of 0 in y
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.031 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.031 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.032 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.032 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.032 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
2.033 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.034 * [taylor]: Taking taylor expansion of 0 in y
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
2.034 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1)
2.034 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
2.034 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
2.034 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
2.035 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.035 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
2.035 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.035 * [taylor]: Taking taylor expansion of 0.5 in y
2.035 * [backup-simplify]: Simplify 0.5 into 0.5
2.035 * [taylor]: Taking taylor expansion of (/ x y) in y
2.035 * [taylor]: Taking taylor expansion of x in y
2.035 * [backup-simplify]: Simplify x into x
2.035 * [taylor]: Taking taylor expansion of y in y
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 1 into 1
2.035 * [backup-simplify]: Simplify (/ x 1) into x
2.035 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.035 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
2.035 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
2.035 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.035 * [taylor]: Taking taylor expansion of 0.5 in y
2.035 * [backup-simplify]: Simplify 0.5 into 0.5
2.035 * [taylor]: Taking taylor expansion of (/ x y) in y
2.035 * [taylor]: Taking taylor expansion of x in y
2.035 * [backup-simplify]: Simplify x into x
2.035 * [taylor]: Taking taylor expansion of y in y
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 1 into 1
2.035 * [backup-simplify]: Simplify (/ x 1) into x
2.035 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.035 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
2.035 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.035 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.035 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.035 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.035 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.035 * [taylor]: Taking taylor expansion of 0.5 in x
2.035 * [backup-simplify]: Simplify 0.5 into 0.5
2.035 * [taylor]: Taking taylor expansion of (/ x y) in x
2.035 * [taylor]: Taking taylor expansion of x in x
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 1 into 1
2.035 * [taylor]: Taking taylor expansion of y in x
2.035 * [backup-simplify]: Simplify y into y
2.035 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.036 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.036 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.036 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.036 * [taylor]: Taking taylor expansion of 0.5 in x
2.036 * [backup-simplify]: Simplify 0.5 into 0.5
2.036 * [taylor]: Taking taylor expansion of (/ x y) in x
2.036 * [taylor]: Taking taylor expansion of x in x
2.036 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify 1 into 1
2.036 * [taylor]: Taking taylor expansion of y in x
2.036 * [backup-simplify]: Simplify y into y
2.036 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.036 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.036 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.036 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.036 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.036 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.036 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.036 * [taylor]: Taking taylor expansion of 0.5 in x
2.036 * [backup-simplify]: Simplify 0.5 into 0.5
2.036 * [taylor]: Taking taylor expansion of (/ x y) in x
2.036 * [taylor]: Taking taylor expansion of x in x
2.036 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify 1 into 1
2.036 * [taylor]: Taking taylor expansion of y in x
2.036 * [backup-simplify]: Simplify y into y
2.036 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.036 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.036 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.036 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.036 * [taylor]: Taking taylor expansion of 0.5 in x
2.036 * [backup-simplify]: Simplify 0.5 into 0.5
2.036 * [taylor]: Taking taylor expansion of (/ x y) in x
2.036 * [taylor]: Taking taylor expansion of x in x
2.036 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify 1 into 1
2.036 * [taylor]: Taking taylor expansion of y in x
2.036 * [backup-simplify]: Simplify y into y
2.036 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.036 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.037 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.037 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
2.037 * [taylor]: Taking taylor expansion of 0.5 in y
2.037 * [backup-simplify]: Simplify 0.5 into 0.5
2.037 * [taylor]: Taking taylor expansion of y in y
2.037 * [backup-simplify]: Simplify 0 into 0
2.037 * [backup-simplify]: Simplify 1 into 1
2.037 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
2.038 * [backup-simplify]: Simplify 0 into 0
2.038 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
2.039 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
2.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.039 * [backup-simplify]: Simplify (+ 0) into 0
2.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
2.040 * [taylor]: Taking taylor expansion of 0 in y
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.041 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.042 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
2.042 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
2.043 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3)))
2.043 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
2.043 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
2.043 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
2.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
2.043 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.043 * [taylor]: Taking taylor expansion of y in y
2.043 * [backup-simplify]: Simplify 0 into 0
2.043 * [backup-simplify]: Simplify 1 into 1
2.043 * [backup-simplify]: Simplify (* 1 1) into 1
2.043 * [backup-simplify]: Simplify (* 1 1) into 1
2.043 * [backup-simplify]: Simplify (/ 1 1) into 1
2.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.049 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
2.050 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.050 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.050 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.050 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.050 * [taylor]: Taking taylor expansion of 0.5 in y
2.050 * [backup-simplify]: Simplify 0.5 into 0.5
2.050 * [taylor]: Taking taylor expansion of (/ y x) in y
2.050 * [taylor]: Taking taylor expansion of y in y
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify 1 into 1
2.050 * [taylor]: Taking taylor expansion of x in y
2.050 * [backup-simplify]: Simplify x into x
2.050 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.050 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.050 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.050 * [taylor]: Taking taylor expansion of 0.5 in y
2.050 * [backup-simplify]: Simplify 0.5 into 0.5
2.050 * [taylor]: Taking taylor expansion of (/ y x) in y
2.050 * [taylor]: Taking taylor expansion of y in y
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify 1 into 1
2.050 * [taylor]: Taking taylor expansion of x in y
2.050 * [backup-simplify]: Simplify x into x
2.050 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.050 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.050 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.050 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.050 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.050 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.050 * [taylor]: Taking taylor expansion of 0.5 in x
2.050 * [backup-simplify]: Simplify 0.5 into 0.5
2.050 * [taylor]: Taking taylor expansion of (/ y x) in x
2.050 * [taylor]: Taking taylor expansion of y in x
2.050 * [backup-simplify]: Simplify y into y
2.051 * [taylor]: Taking taylor expansion of x in x
2.051 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify 1 into 1
2.051 * [backup-simplify]: Simplify (/ y 1) into y
2.051 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.051 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.051 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.051 * [taylor]: Taking taylor expansion of 0.5 in x
2.051 * [backup-simplify]: Simplify 0.5 into 0.5
2.051 * [taylor]: Taking taylor expansion of (/ y x) in x
2.051 * [taylor]: Taking taylor expansion of y in x
2.051 * [backup-simplify]: Simplify y into y
2.051 * [taylor]: Taking taylor expansion of x in x
2.051 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify 1 into 1
2.051 * [backup-simplify]: Simplify (/ y 1) into y
2.051 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.051 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.051 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.051 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.051 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.051 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.051 * [taylor]: Taking taylor expansion of 0.5 in x
2.051 * [backup-simplify]: Simplify 0.5 into 0.5
2.051 * [taylor]: Taking taylor expansion of (/ y x) in x
2.051 * [taylor]: Taking taylor expansion of y in x
2.051 * [backup-simplify]: Simplify y into y
2.051 * [taylor]: Taking taylor expansion of x in x
2.051 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify 1 into 1
2.051 * [backup-simplify]: Simplify (/ y 1) into y
2.051 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.051 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.051 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.051 * [taylor]: Taking taylor expansion of 0.5 in x
2.051 * [backup-simplify]: Simplify 0.5 into 0.5
2.052 * [taylor]: Taking taylor expansion of (/ y x) in x
2.052 * [taylor]: Taking taylor expansion of y in x
2.052 * [backup-simplify]: Simplify y into y
2.052 * [taylor]: Taking taylor expansion of x in x
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [backup-simplify]: Simplify (/ y 1) into y
2.052 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.052 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.052 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.052 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.052 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.052 * [taylor]: Taking taylor expansion of 0.5 in y
2.052 * [backup-simplify]: Simplify 0.5 into 0.5
2.052 * [taylor]: Taking taylor expansion of (/ y x) in y
2.052 * [taylor]: Taking taylor expansion of y in y
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [taylor]: Taking taylor expansion of x in y
2.052 * [backup-simplify]: Simplify x into x
2.052 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.052 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.052 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.052 * [taylor]: Taking taylor expansion of 0.5 in y
2.052 * [backup-simplify]: Simplify 0.5 into 0.5
2.052 * [taylor]: Taking taylor expansion of (/ y x) in y
2.052 * [taylor]: Taking taylor expansion of y in y
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [taylor]: Taking taylor expansion of x in y
2.052 * [backup-simplify]: Simplify x into x
2.052 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.052 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.052 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.053 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.053 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.053 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.053 * [taylor]: Taking taylor expansion of 0 in y
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.054 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.054 * [backup-simplify]: Simplify (+ 0) into 0
2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.055 * [taylor]: Taking taylor expansion of 0 in y
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.056 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.056 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.057 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.058 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
2.058 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.058 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.058 * [taylor]: Taking taylor expansion of 0 in y
2.058 * [backup-simplify]: Simplify 0 into 0
2.058 * [backup-simplify]: Simplify 0 into 0
2.058 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.061 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.061 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.061 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.062 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.064 * [taylor]: Taking taylor expansion of 0 in y
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 0 into 0
2.065 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
2.065 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
2.065 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.065 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.065 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.065 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.065 * [taylor]: Taking taylor expansion of 0.5 in y
2.065 * [backup-simplify]: Simplify 0.5 into 0.5
2.065 * [taylor]: Taking taylor expansion of (/ y x) in y
2.065 * [taylor]: Taking taylor expansion of y in y
2.065 * [backup-simplify]: Simplify 0 into 0
2.065 * [backup-simplify]: Simplify 1 into 1
2.065 * [taylor]: Taking taylor expansion of x in y
2.065 * [backup-simplify]: Simplify x into x
2.065 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.066 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.066 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.066 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.066 * [taylor]: Taking taylor expansion of 0.5 in y
2.066 * [backup-simplify]: Simplify 0.5 into 0.5
2.066 * [taylor]: Taking taylor expansion of (/ y x) in y
2.066 * [taylor]: Taking taylor expansion of y in y
2.066 * [backup-simplify]: Simplify 0 into 0
2.066 * [backup-simplify]: Simplify 1 into 1
2.066 * [taylor]: Taking taylor expansion of x in y
2.066 * [backup-simplify]: Simplify x into x
2.066 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.066 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.066 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.066 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.066 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.066 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.066 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.066 * [taylor]: Taking taylor expansion of 0.5 in x
2.066 * [backup-simplify]: Simplify 0.5 into 0.5
2.066 * [taylor]: Taking taylor expansion of (/ y x) in x
2.066 * [taylor]: Taking taylor expansion of y in x
2.066 * [backup-simplify]: Simplify y into y
2.066 * [taylor]: Taking taylor expansion of x in x
2.066 * [backup-simplify]: Simplify 0 into 0
2.066 * [backup-simplify]: Simplify 1 into 1
2.067 * [backup-simplify]: Simplify (/ y 1) into y
2.067 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.067 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.067 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.067 * [taylor]: Taking taylor expansion of 0.5 in x
2.067 * [backup-simplify]: Simplify 0.5 into 0.5
2.067 * [taylor]: Taking taylor expansion of (/ y x) in x
2.067 * [taylor]: Taking taylor expansion of y in x
2.067 * [backup-simplify]: Simplify y into y
2.067 * [taylor]: Taking taylor expansion of x in x
2.067 * [backup-simplify]: Simplify 0 into 0
2.067 * [backup-simplify]: Simplify 1 into 1
2.067 * [backup-simplify]: Simplify (/ y 1) into y
2.067 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.067 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.067 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.067 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.067 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.067 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.068 * [taylor]: Taking taylor expansion of 0.5 in x
2.068 * [backup-simplify]: Simplify 0.5 into 0.5
2.068 * [taylor]: Taking taylor expansion of (/ y x) in x
2.068 * [taylor]: Taking taylor expansion of y in x
2.068 * [backup-simplify]: Simplify y into y
2.068 * [taylor]: Taking taylor expansion of x in x
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 1 into 1
2.068 * [backup-simplify]: Simplify (/ y 1) into y
2.068 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.068 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.068 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.068 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.068 * [taylor]: Taking taylor expansion of 0.5 in x
2.068 * [backup-simplify]: Simplify 0.5 into 0.5
2.068 * [taylor]: Taking taylor expansion of (/ y x) in x
2.068 * [taylor]: Taking taylor expansion of y in x
2.068 * [backup-simplify]: Simplify y into y
2.068 * [taylor]: Taking taylor expansion of x in x
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 1 into 1
2.068 * [backup-simplify]: Simplify (/ y 1) into y
2.068 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.068 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.068 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.068 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.069 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.069 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.069 * [taylor]: Taking taylor expansion of 0.5 in y
2.069 * [backup-simplify]: Simplify 0.5 into 0.5
2.069 * [taylor]: Taking taylor expansion of (/ y x) in y
2.069 * [taylor]: Taking taylor expansion of y in y
2.069 * [backup-simplify]: Simplify 0 into 0
2.069 * [backup-simplify]: Simplify 1 into 1
2.069 * [taylor]: Taking taylor expansion of x in y
2.069 * [backup-simplify]: Simplify x into x
2.069 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.069 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.069 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.069 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.069 * [taylor]: Taking taylor expansion of 0.5 in y
2.069 * [backup-simplify]: Simplify 0.5 into 0.5
2.069 * [taylor]: Taking taylor expansion of (/ y x) in y
2.069 * [taylor]: Taking taylor expansion of y in y
2.069 * [backup-simplify]: Simplify 0 into 0
2.069 * [backup-simplify]: Simplify 1 into 1
2.069 * [taylor]: Taking taylor expansion of x in y
2.069 * [backup-simplify]: Simplify x into x
2.069 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.069 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.069 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.070 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.070 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.070 * [taylor]: Taking taylor expansion of 0 in y
2.070 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.071 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.071 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.072 * [backup-simplify]: Simplify (+ 0) into 0
2.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.072 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.073 * [taylor]: Taking taylor expansion of 0 in y
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.074 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.076 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
2.076 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.077 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.077 * [taylor]: Taking taylor expansion of 0 in y
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.079 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.079 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.080 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.080 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
2.082 * [backup-simplify]: Simplify 0 into 0
2.082 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.083 * [taylor]: Taking taylor expansion of 0 in y
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
2.083 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
2.083 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
2.083 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
2.083 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
2.083 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.083 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
2.083 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.083 * [taylor]: Taking taylor expansion of 0.5 in y
2.084 * [backup-simplify]: Simplify 0.5 into 0.5
2.084 * [taylor]: Taking taylor expansion of (/ x y) in y
2.084 * [taylor]: Taking taylor expansion of x in y
2.084 * [backup-simplify]: Simplify x into x
2.084 * [taylor]: Taking taylor expansion of y in y
2.084 * [backup-simplify]: Simplify 0 into 0
2.084 * [backup-simplify]: Simplify 1 into 1
2.084 * [backup-simplify]: Simplify (/ x 1) into x
2.084 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.084 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
2.084 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
2.084 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.084 * [taylor]: Taking taylor expansion of 0.5 in y
2.084 * [backup-simplify]: Simplify 0.5 into 0.5
2.084 * [taylor]: Taking taylor expansion of (/ x y) in y
2.084 * [taylor]: Taking taylor expansion of x in y
2.084 * [backup-simplify]: Simplify x into x
2.084 * [taylor]: Taking taylor expansion of y in y
2.084 * [backup-simplify]: Simplify 0 into 0
2.084 * [backup-simplify]: Simplify 1 into 1
2.084 * [backup-simplify]: Simplify (/ x 1) into x
2.084 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.084 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
2.084 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.084 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.085 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.085 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.085 * [taylor]: Taking taylor expansion of 0.5 in x
2.085 * [backup-simplify]: Simplify 0.5 into 0.5
2.085 * [taylor]: Taking taylor expansion of (/ x y) in x
2.085 * [taylor]: Taking taylor expansion of x in x
2.085 * [backup-simplify]: Simplify 0 into 0
2.085 * [backup-simplify]: Simplify 1 into 1
2.085 * [taylor]: Taking taylor expansion of y in x
2.085 * [backup-simplify]: Simplify y into y
2.085 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.085 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.085 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.085 * [taylor]: Taking taylor expansion of 0.5 in x
2.085 * [backup-simplify]: Simplify 0.5 into 0.5
2.085 * [taylor]: Taking taylor expansion of (/ x y) in x
2.085 * [taylor]: Taking taylor expansion of x in x
2.085 * [backup-simplify]: Simplify 0 into 0
2.085 * [backup-simplify]: Simplify 1 into 1
2.085 * [taylor]: Taking taylor expansion of y in x
2.085 * [backup-simplify]: Simplify y into y
2.085 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.085 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.085 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.085 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.086 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.086 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.086 * [taylor]: Taking taylor expansion of 0.5 in x
2.086 * [backup-simplify]: Simplify 0.5 into 0.5
2.086 * [taylor]: Taking taylor expansion of (/ x y) in x
2.086 * [taylor]: Taking taylor expansion of x in x
2.086 * [backup-simplify]: Simplify 0 into 0
2.086 * [backup-simplify]: Simplify 1 into 1
2.086 * [taylor]: Taking taylor expansion of y in x
2.086 * [backup-simplify]: Simplify y into y
2.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.086 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.086 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.086 * [taylor]: Taking taylor expansion of 0.5 in x
2.086 * [backup-simplify]: Simplify 0.5 into 0.5
2.086 * [taylor]: Taking taylor expansion of (/ x y) in x
2.086 * [taylor]: Taking taylor expansion of x in x
2.086 * [backup-simplify]: Simplify 0 into 0
2.086 * [backup-simplify]: Simplify 1 into 1
2.086 * [taylor]: Taking taylor expansion of y in x
2.086 * [backup-simplify]: Simplify y into y
2.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.086 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.086 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.087 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.087 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
2.087 * [taylor]: Taking taylor expansion of 0.5 in y
2.087 * [backup-simplify]: Simplify 0.5 into 0.5
2.087 * [taylor]: Taking taylor expansion of y in y
2.087 * [backup-simplify]: Simplify 0 into 0
2.087 * [backup-simplify]: Simplify 1 into 1
2.087 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
2.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
2.088 * [backup-simplify]: Simplify 0 into 0
2.088 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
2.088 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
2.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.089 * [backup-simplify]: Simplify (+ 0) into 0
2.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
2.090 * [taylor]: Taking taylor expansion of 0 in y
2.090 * [backup-simplify]: Simplify 0 into 0
2.090 * [backup-simplify]: Simplify 0 into 0
2.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.091 * [backup-simplify]: Simplify 0 into 0
2.091 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.092 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
2.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
2.094 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3)))
2.094 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
2.094 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
2.094 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
2.094 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.094 * [taylor]: Taking taylor expansion of y in y
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify 1 into 1
2.094 * [backup-simplify]: Simplify (* 1 1) into 1
2.095 * [backup-simplify]: Simplify (* 1 1) into 1
2.095 * [backup-simplify]: Simplify (/ 1 1) into 1
2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.103 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.103 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
2.104 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.104 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.104 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.104 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.104 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.104 * [taylor]: Taking taylor expansion of 0.5 in y
2.104 * [backup-simplify]: Simplify 0.5 into 0.5
2.104 * [taylor]: Taking taylor expansion of (/ y x) in y
2.104 * [taylor]: Taking taylor expansion of y in y
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 1 into 1
2.104 * [taylor]: Taking taylor expansion of x in y
2.104 * [backup-simplify]: Simplify x into x
2.104 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.104 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.104 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.104 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.104 * [taylor]: Taking taylor expansion of 0.5 in y
2.104 * [backup-simplify]: Simplify 0.5 into 0.5
2.104 * [taylor]: Taking taylor expansion of (/ y x) in y
2.104 * [taylor]: Taking taylor expansion of y in y
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 1 into 1
2.104 * [taylor]: Taking taylor expansion of x in y
2.104 * [backup-simplify]: Simplify x into x
2.105 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.105 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.105 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.105 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.105 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.105 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.105 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.105 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.105 * [taylor]: Taking taylor expansion of 0.5 in x
2.105 * [backup-simplify]: Simplify 0.5 into 0.5
2.105 * [taylor]: Taking taylor expansion of (/ y x) in x
2.105 * [taylor]: Taking taylor expansion of y in x
2.105 * [backup-simplify]: Simplify y into y
2.105 * [taylor]: Taking taylor expansion of x in x
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [backup-simplify]: Simplify 1 into 1
2.105 * [backup-simplify]: Simplify (/ y 1) into y
2.105 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.105 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.106 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.106 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.106 * [taylor]: Taking taylor expansion of 0.5 in x
2.106 * [backup-simplify]: Simplify 0.5 into 0.5
2.106 * [taylor]: Taking taylor expansion of (/ y x) in x
2.106 * [taylor]: Taking taylor expansion of y in x
2.106 * [backup-simplify]: Simplify y into y
2.106 * [taylor]: Taking taylor expansion of x in x
2.106 * [backup-simplify]: Simplify 0 into 0
2.106 * [backup-simplify]: Simplify 1 into 1
2.106 * [backup-simplify]: Simplify (/ y 1) into y
2.106 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.106 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.106 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.106 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.106 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.106 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.106 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.106 * [taylor]: Taking taylor expansion of 0.5 in x
2.106 * [backup-simplify]: Simplify 0.5 into 0.5
2.106 * [taylor]: Taking taylor expansion of (/ y x) in x
2.106 * [taylor]: Taking taylor expansion of y in x
2.106 * [backup-simplify]: Simplify y into y
2.106 * [taylor]: Taking taylor expansion of x in x
2.106 * [backup-simplify]: Simplify 0 into 0
2.106 * [backup-simplify]: Simplify 1 into 1
2.107 * [backup-simplify]: Simplify (/ y 1) into y
2.107 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.107 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.107 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.107 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.107 * [taylor]: Taking taylor expansion of 0.5 in x
2.107 * [backup-simplify]: Simplify 0.5 into 0.5
2.107 * [taylor]: Taking taylor expansion of (/ y x) in x
2.107 * [taylor]: Taking taylor expansion of y in x
2.107 * [backup-simplify]: Simplify y into y
2.107 * [taylor]: Taking taylor expansion of x in x
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 1 into 1
2.107 * [backup-simplify]: Simplify (/ y 1) into y
2.107 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.107 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.107 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.107 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.107 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.107 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.107 * [taylor]: Taking taylor expansion of 0.5 in y
2.107 * [backup-simplify]: Simplify 0.5 into 0.5
2.107 * [taylor]: Taking taylor expansion of (/ y x) in y
2.108 * [taylor]: Taking taylor expansion of y in y
2.108 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify 1 into 1
2.108 * [taylor]: Taking taylor expansion of x in y
2.108 * [backup-simplify]: Simplify x into x
2.108 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.108 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.108 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.108 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.108 * [taylor]: Taking taylor expansion of 0.5 in y
2.108 * [backup-simplify]: Simplify 0.5 into 0.5
2.108 * [taylor]: Taking taylor expansion of (/ y x) in y
2.108 * [taylor]: Taking taylor expansion of y in y
2.108 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify 1 into 1
2.108 * [taylor]: Taking taylor expansion of x in y
2.108 * [backup-simplify]: Simplify x into x
2.108 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.108 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.108 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.108 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.109 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.109 * [taylor]: Taking taylor expansion of 0 in y
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.110 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.111 * [backup-simplify]: Simplify (+ 0) into 0
2.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.111 * [backup-simplify]: Simplify 0 into 0
2.111 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.112 * [taylor]: Taking taylor expansion of 0 in y
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.112 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.113 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.113 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.114 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
2.114 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.114 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.114 * [taylor]: Taking taylor expansion of 0 in y
2.114 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify 0 into 0
2.114 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.117 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.119 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.119 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.119 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.120 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
2.121 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.122 * [taylor]: Taking taylor expansion of 0 in y
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
2.123 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
2.123 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.123 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.123 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.123 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.123 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.123 * [taylor]: Taking taylor expansion of 0.5 in y
2.123 * [backup-simplify]: Simplify 0.5 into 0.5
2.123 * [taylor]: Taking taylor expansion of (/ y x) in y
2.123 * [taylor]: Taking taylor expansion of y in y
2.123 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify 1 into 1
2.123 * [taylor]: Taking taylor expansion of x in y
2.123 * [backup-simplify]: Simplify x into x
2.123 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.123 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.123 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.123 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.123 * [taylor]: Taking taylor expansion of 0.5 in y
2.123 * [backup-simplify]: Simplify 0.5 into 0.5
2.124 * [taylor]: Taking taylor expansion of (/ y x) in y
2.124 * [taylor]: Taking taylor expansion of y in y
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 1 into 1
2.124 * [taylor]: Taking taylor expansion of x in y
2.124 * [backup-simplify]: Simplify x into x
2.124 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.124 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.124 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.124 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.124 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.124 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.124 * [taylor]: Taking taylor expansion of 0.5 in x
2.124 * [backup-simplify]: Simplify 0.5 into 0.5
2.124 * [taylor]: Taking taylor expansion of (/ y x) in x
2.124 * [taylor]: Taking taylor expansion of y in x
2.124 * [backup-simplify]: Simplify y into y
2.124 * [taylor]: Taking taylor expansion of x in x
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 1 into 1
2.124 * [backup-simplify]: Simplify (/ y 1) into y
2.124 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.125 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.125 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.125 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.125 * [taylor]: Taking taylor expansion of 0.5 in x
2.125 * [backup-simplify]: Simplify 0.5 into 0.5
2.125 * [taylor]: Taking taylor expansion of (/ y x) in x
2.125 * [taylor]: Taking taylor expansion of y in x
2.125 * [backup-simplify]: Simplify y into y
2.125 * [taylor]: Taking taylor expansion of x in x
2.125 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify 1 into 1
2.125 * [backup-simplify]: Simplify (/ y 1) into y
2.125 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.125 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.125 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.125 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.125 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.125 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.125 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.125 * [taylor]: Taking taylor expansion of 0.5 in x
2.125 * [backup-simplify]: Simplify 0.5 into 0.5
2.125 * [taylor]: Taking taylor expansion of (/ y x) in x
2.125 * [taylor]: Taking taylor expansion of y in x
2.125 * [backup-simplify]: Simplify y into y
2.125 * [taylor]: Taking taylor expansion of x in x
2.125 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify 1 into 1
2.126 * [backup-simplify]: Simplify (/ y 1) into y
2.126 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.126 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.126 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.126 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.126 * [taylor]: Taking taylor expansion of 0.5 in x
2.126 * [backup-simplify]: Simplify 0.5 into 0.5
2.126 * [taylor]: Taking taylor expansion of (/ y x) in x
2.126 * [taylor]: Taking taylor expansion of y in x
2.126 * [backup-simplify]: Simplify y into y
2.126 * [taylor]: Taking taylor expansion of x in x
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 1 into 1
2.126 * [backup-simplify]: Simplify (/ y 1) into y
2.126 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.126 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.126 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.126 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.126 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.126 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.126 * [taylor]: Taking taylor expansion of 0.5 in y
2.126 * [backup-simplify]: Simplify 0.5 into 0.5
2.126 * [taylor]: Taking taylor expansion of (/ y x) in y
2.127 * [taylor]: Taking taylor expansion of y in y
2.127 * [backup-simplify]: Simplify 0 into 0
2.127 * [backup-simplify]: Simplify 1 into 1
2.127 * [taylor]: Taking taylor expansion of x in y
2.127 * [backup-simplify]: Simplify x into x
2.127 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.127 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.127 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.127 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.127 * [taylor]: Taking taylor expansion of 0.5 in y
2.127 * [backup-simplify]: Simplify 0.5 into 0.5
2.127 * [taylor]: Taking taylor expansion of (/ y x) in y
2.127 * [taylor]: Taking taylor expansion of y in y
2.127 * [backup-simplify]: Simplify 0 into 0
2.127 * [backup-simplify]: Simplify 1 into 1
2.127 * [taylor]: Taking taylor expansion of x in y
2.127 * [backup-simplify]: Simplify x into x
2.127 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.127 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.127 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.127 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.128 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.128 * [taylor]: Taking taylor expansion of 0 in y
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.128 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.129 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.129 * [backup-simplify]: Simplify (+ 0) into 0
2.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.130 * [backup-simplify]: Simplify 0 into 0
2.131 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.131 * [taylor]: Taking taylor expansion of 0 in y
2.131 * [backup-simplify]: Simplify 0 into 0
2.131 * [backup-simplify]: Simplify 0 into 0
2.131 * [backup-simplify]: Simplify 0 into 0
2.131 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.132 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.133 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.133 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
2.134 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.134 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.134 * [taylor]: Taking taylor expansion of 0 in y
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 0 into 0
2.135 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.137 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.137 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.138 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
2.139 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.140 * [taylor]: Taking taylor expansion of 0 in y
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
2.141 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
2.141 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y)))
2.141 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0
2.141 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
2.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.141 * [taylor]: Taking taylor expansion of 0.5 in y
2.141 * [backup-simplify]: Simplify 0.5 into 0.5
2.141 * [taylor]: Taking taylor expansion of (/ x y) in y
2.141 * [taylor]: Taking taylor expansion of x in y
2.141 * [backup-simplify]: Simplify x into x
2.141 * [taylor]: Taking taylor expansion of y in y
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [backup-simplify]: Simplify (/ x 1) into x
2.141 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.141 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
2.141 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.141 * [taylor]: Taking taylor expansion of 0.5 in x
2.141 * [backup-simplify]: Simplify 0.5 into 0.5
2.141 * [taylor]: Taking taylor expansion of (/ x y) in x
2.141 * [taylor]: Taking taylor expansion of x in x
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [taylor]: Taking taylor expansion of y in x
2.141 * [backup-simplify]: Simplify y into y
2.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.142 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.142 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.142 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.142 * [taylor]: Taking taylor expansion of 0.5 in x
2.142 * [backup-simplify]: Simplify 0.5 into 0.5
2.142 * [taylor]: Taking taylor expansion of (/ x y) in x
2.142 * [taylor]: Taking taylor expansion of x in x
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify 1 into 1
2.142 * [taylor]: Taking taylor expansion of y in x
2.142 * [backup-simplify]: Simplify y into y
2.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.142 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.142 * [taylor]: Taking taylor expansion of 0 in y
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.142 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y
2.142 * [taylor]: Taking taylor expansion of 0.5 in y
2.142 * [backup-simplify]: Simplify 0.5 into 0.5
2.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.142 * [taylor]: Taking taylor expansion of y in y
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify 1 into 1
2.143 * [backup-simplify]: Simplify (/ 1 1) into 1
2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.144 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
2.144 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
2.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.145 * [taylor]: Taking taylor expansion of 0 in y
2.145 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.147 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x)))
2.147 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
2.147 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.147 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.147 * [taylor]: Taking taylor expansion of 0.5 in y
2.147 * [backup-simplify]: Simplify 0.5 into 0.5
2.147 * [taylor]: Taking taylor expansion of (/ y x) in y
2.147 * [taylor]: Taking taylor expansion of y in y
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify 1 into 1
2.147 * [taylor]: Taking taylor expansion of x in y
2.147 * [backup-simplify]: Simplify x into x
2.147 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.147 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.148 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.148 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.148 * [taylor]: Taking taylor expansion of 0.5 in x
2.148 * [backup-simplify]: Simplify 0.5 into 0.5
2.148 * [taylor]: Taking taylor expansion of (/ y x) in x
2.148 * [taylor]: Taking taylor expansion of y in x
2.148 * [backup-simplify]: Simplify y into y
2.148 * [taylor]: Taking taylor expansion of x in x
2.148 * [backup-simplify]: Simplify 0 into 0
2.148 * [backup-simplify]: Simplify 1 into 1
2.148 * [backup-simplify]: Simplify (/ y 1) into y
2.148 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.148 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.148 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.148 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.148 * [taylor]: Taking taylor expansion of 0.5 in x
2.148 * [backup-simplify]: Simplify 0.5 into 0.5
2.148 * [taylor]: Taking taylor expansion of (/ y x) in x
2.148 * [taylor]: Taking taylor expansion of y in x
2.148 * [backup-simplify]: Simplify y into y
2.148 * [taylor]: Taking taylor expansion of x in x
2.148 * [backup-simplify]: Simplify 0 into 0
2.148 * [backup-simplify]: Simplify 1 into 1
2.148 * [backup-simplify]: Simplify (/ y 1) into y
2.148 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.148 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.148 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.148 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.148 * [taylor]: Taking taylor expansion of 0.5 in y
2.148 * [backup-simplify]: Simplify 0.5 into 0.5
2.149 * [taylor]: Taking taylor expansion of (/ y x) in y
2.149 * [taylor]: Taking taylor expansion of y in y
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify 1 into 1
2.149 * [taylor]: Taking taylor expansion of x in y
2.149 * [backup-simplify]: Simplify x into x
2.149 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.149 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [taylor]: Taking taylor expansion of 0 in y
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.149 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.149 * [taylor]: Taking taylor expansion of 0 in y
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.150 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.150 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [taylor]: Taking taylor expansion of 0 in y
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y))
2.151 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x)))
2.151 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
2.151 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.151 * [taylor]: Taking taylor expansion of 0.5 in y
2.151 * [backup-simplify]: Simplify 0.5 into 0.5
2.151 * [taylor]: Taking taylor expansion of (/ y x) in y
2.151 * [taylor]: Taking taylor expansion of y in y
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify 1 into 1
2.151 * [taylor]: Taking taylor expansion of x in y
2.151 * [backup-simplify]: Simplify x into x
2.151 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.151 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.151 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.151 * [taylor]: Taking taylor expansion of 0.5 in x
2.151 * [backup-simplify]: Simplify 0.5 into 0.5
2.152 * [taylor]: Taking taylor expansion of (/ y x) in x
2.152 * [taylor]: Taking taylor expansion of y in x
2.152 * [backup-simplify]: Simplify y into y
2.152 * [taylor]: Taking taylor expansion of x in x
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 1 into 1
2.152 * [backup-simplify]: Simplify (/ y 1) into y
2.152 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.152 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.152 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.152 * [taylor]: Taking taylor expansion of 0.5 in x
2.152 * [backup-simplify]: Simplify 0.5 into 0.5
2.152 * [taylor]: Taking taylor expansion of (/ y x) in x
2.152 * [taylor]: Taking taylor expansion of y in x
2.152 * [backup-simplify]: Simplify y into y
2.152 * [taylor]: Taking taylor expansion of x in x
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 1 into 1
2.152 * [backup-simplify]: Simplify (/ y 1) into y
2.152 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.152 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.152 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.152 * [taylor]: Taking taylor expansion of 0.5 in y
2.152 * [backup-simplify]: Simplify 0.5 into 0.5
2.152 * [taylor]: Taking taylor expansion of (/ y x) in y
2.152 * [taylor]: Taking taylor expansion of y in y
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 1 into 1
2.152 * [taylor]: Taking taylor expansion of x in y
2.152 * [backup-simplify]: Simplify x into x
2.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.153 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [taylor]: Taking taylor expansion of 0 in y
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.153 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.153 * [taylor]: Taking taylor expansion of 0 in y
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.154 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.154 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [taylor]: Taking taylor expansion of 0 in y
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y))
2.155 * * * [progress]: simplifying candidates
2.156 * [simplify]: Simplifying:
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (log (sin (/ x (* y 2.0))))
  (exp (sin (/ x (* y 2.0))))
  (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))
  (cbrt (sin (/ x (* y 2.0))))
  (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (* 0.5 (/ x y))
  (* 0.5 (/ x y))
2.156 * * [simplify]: iteration 0: 33 enodes
2.164 * * [simplify]: iteration 1: 57 enodes
2.174 * * [simplify]: iteration 2: 131 enodes
2.207 * * [simplify]: iteration 3: 492 enodes
2.555 * * [simplify]: iteration 4: 2386 enodes
3.310 * * [simplify]: iteration complete: 5000 enodes
3.310 * * [simplify]: Extracting #0: cost 17 inf + 0
3.310 * * [simplify]: Extracting #1: cost 34 inf + 1
3.311 * * [simplify]: Extracting #2: cost 433 inf + 89
3.317 * * [simplify]: Extracting #3: cost 1224 inf + 12659
3.331 * * [simplify]: Extracting #4: cost 1107 inf + 77002
3.375 * * [simplify]: Extracting #5: cost 626 inf + 354461
3.462 * * [simplify]: Extracting #6: cost 15 inf + 803052
3.547 * * [simplify]: Extracting #7: cost 0 inf + 813462
3.655 * [simplify]: Simplified to:
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (log (sin (/ x (* 2.0 y))))
  (exp (sin (/ x (* 2.0 y))))
  (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))
  (cbrt (sin (/ x (* 2.0 y))))
  (* (sin (/ x (* 2.0 y))) (* (sin (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (sqrt (sin (/ x (* 2.0 y))))
  (sqrt (sin (/ x (* 2.0 y))))
  0
  (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y)))))
  (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y)))))
  0
  (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y)))))
  (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y)))))
  0
  (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y)))))
  (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y)))))
  0
  (* (/ 0.5 y) x)
  (* (/ 0.5 y) x)
3.663 * * * [progress]: adding candidates to table
3.946 * * [progress]: iteration 4 / 4
3.946 * * * [progress]: picking best candidate
4.004 * * * * [pick]: Picked  #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))>
4.004 * * * [progress]: localizing error
4.082 * * * [progress]: generating rewritten candidates
4.082 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
4.085 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1)
4.087 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2)
4.091 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
4.099 * * * [progress]: generating series expansions
4.099 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
4.099 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
4.099 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
4.099 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
4.099 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.099 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
4.099 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.099 * [taylor]: Taking taylor expansion of 0.5 in y
4.099 * [backup-simplify]: Simplify 0.5 into 0.5
4.099 * [taylor]: Taking taylor expansion of (/ x y) in y
4.099 * [taylor]: Taking taylor expansion of x in y
4.099 * [backup-simplify]: Simplify x into x
4.099 * [taylor]: Taking taylor expansion of y in y
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify 1 into 1
4.099 * [backup-simplify]: Simplify (/ x 1) into x
4.099 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.099 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
4.099 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
4.099 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.099 * [taylor]: Taking taylor expansion of 0.5 in y
4.100 * [backup-simplify]: Simplify 0.5 into 0.5
4.100 * [taylor]: Taking taylor expansion of (/ x y) in y
4.100 * [taylor]: Taking taylor expansion of x in y
4.100 * [backup-simplify]: Simplify x into x
4.100 * [taylor]: Taking taylor expansion of y in y
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [backup-simplify]: Simplify 1 into 1
4.100 * [backup-simplify]: Simplify (/ x 1) into x
4.100 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.100 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
4.100 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.100 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
4.100 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.100 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.100 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.100 * [taylor]: Taking taylor expansion of 0.5 in x
4.100 * [backup-simplify]: Simplify 0.5 into 0.5
4.100 * [taylor]: Taking taylor expansion of (/ x y) in x
4.100 * [taylor]: Taking taylor expansion of x in x
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [backup-simplify]: Simplify 1 into 1
4.100 * [taylor]: Taking taylor expansion of y in x
4.100 * [backup-simplify]: Simplify y into y
4.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.100 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.100 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.100 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.100 * [taylor]: Taking taylor expansion of 0.5 in x
4.100 * [backup-simplify]: Simplify 0.5 into 0.5
4.100 * [taylor]: Taking taylor expansion of (/ x y) in x
4.100 * [taylor]: Taking taylor expansion of x in x
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [backup-simplify]: Simplify 1 into 1
4.100 * [taylor]: Taking taylor expansion of y in x
4.100 * [backup-simplify]: Simplify y into y
4.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.100 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.101 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
4.101 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
4.101 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.101 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.101 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.101 * [taylor]: Taking taylor expansion of 0.5 in x
4.101 * [backup-simplify]: Simplify 0.5 into 0.5
4.101 * [taylor]: Taking taylor expansion of (/ x y) in x
4.101 * [taylor]: Taking taylor expansion of x in x
4.101 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify 1 into 1
4.101 * [taylor]: Taking taylor expansion of y in x
4.101 * [backup-simplify]: Simplify y into y
4.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.101 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.101 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.101 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.101 * [taylor]: Taking taylor expansion of 0.5 in x
4.101 * [backup-simplify]: Simplify 0.5 into 0.5
4.101 * [taylor]: Taking taylor expansion of (/ x y) in x
4.101 * [taylor]: Taking taylor expansion of x in x
4.101 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify 1 into 1
4.101 * [taylor]: Taking taylor expansion of y in x
4.101 * [backup-simplify]: Simplify y into y
4.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.101 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.101 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
4.101 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
4.101 * [taylor]: Taking taylor expansion of 0.5 in y
4.101 * [backup-simplify]: Simplify 0.5 into 0.5
4.101 * [taylor]: Taking taylor expansion of y in y
4.101 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify 1 into 1
4.102 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
4.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
4.103 * [backup-simplify]: Simplify 0 into 0
4.103 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
4.104 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.104 * [backup-simplify]: Simplify (+ 0) into 0
4.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
4.105 * [taylor]: Taking taylor expansion of 0 in y
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.109 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
4.109 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
4.110 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3)))
4.110 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
4.110 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
4.110 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
4.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
4.110 * [taylor]: Taking taylor expansion of (pow y 3) in y
4.110 * [taylor]: Taking taylor expansion of y in y
4.110 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify 1 into 1
4.111 * [backup-simplify]: Simplify (* 1 1) into 1
4.111 * [backup-simplify]: Simplify (* 1 1) into 1
4.111 * [backup-simplify]: Simplify (/ 1 1) into 1
4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.120 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.120 * [backup-simplify]: Simplify 0 into 0
4.120 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
4.121 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
4.121 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
4.121 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.121 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.121 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.121 * [taylor]: Taking taylor expansion of 0.5 in y
4.121 * [backup-simplify]: Simplify 0.5 into 0.5
4.121 * [taylor]: Taking taylor expansion of (/ y x) in y
4.121 * [taylor]: Taking taylor expansion of y in y
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify 1 into 1
4.121 * [taylor]: Taking taylor expansion of x in y
4.121 * [backup-simplify]: Simplify x into x
4.121 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.122 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.122 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.122 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.122 * [taylor]: Taking taylor expansion of 0.5 in y
4.122 * [backup-simplify]: Simplify 0.5 into 0.5
4.122 * [taylor]: Taking taylor expansion of (/ y x) in y
4.122 * [taylor]: Taking taylor expansion of y in y
4.122 * [backup-simplify]: Simplify 0 into 0
4.122 * [backup-simplify]: Simplify 1 into 1
4.122 * [taylor]: Taking taylor expansion of x in y
4.122 * [backup-simplify]: Simplify x into x
4.122 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.122 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.122 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.122 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.122 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.122 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.122 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.122 * [taylor]: Taking taylor expansion of 0.5 in x
4.123 * [backup-simplify]: Simplify 0.5 into 0.5
4.123 * [taylor]: Taking taylor expansion of (/ y x) in x
4.123 * [taylor]: Taking taylor expansion of y in x
4.123 * [backup-simplify]: Simplify y into y
4.123 * [taylor]: Taking taylor expansion of x in x
4.123 * [backup-simplify]: Simplify 0 into 0
4.123 * [backup-simplify]: Simplify 1 into 1
4.123 * [backup-simplify]: Simplify (/ y 1) into y
4.123 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.123 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.123 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.123 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.123 * [taylor]: Taking taylor expansion of 0.5 in x
4.123 * [backup-simplify]: Simplify 0.5 into 0.5
4.123 * [taylor]: Taking taylor expansion of (/ y x) in x
4.123 * [taylor]: Taking taylor expansion of y in x
4.123 * [backup-simplify]: Simplify y into y
4.123 * [taylor]: Taking taylor expansion of x in x
4.123 * [backup-simplify]: Simplify 0 into 0
4.123 * [backup-simplify]: Simplify 1 into 1
4.123 * [backup-simplify]: Simplify (/ y 1) into y
4.123 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.123 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.124 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.124 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.124 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.124 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.124 * [taylor]: Taking taylor expansion of 0.5 in x
4.124 * [backup-simplify]: Simplify 0.5 into 0.5
4.124 * [taylor]: Taking taylor expansion of (/ y x) in x
4.124 * [taylor]: Taking taylor expansion of y in x
4.124 * [backup-simplify]: Simplify y into y
4.124 * [taylor]: Taking taylor expansion of x in x
4.124 * [backup-simplify]: Simplify 0 into 0
4.124 * [backup-simplify]: Simplify 1 into 1
4.124 * [backup-simplify]: Simplify (/ y 1) into y
4.124 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.124 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.124 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.124 * [taylor]: Taking taylor expansion of 0.5 in x
4.124 * [backup-simplify]: Simplify 0.5 into 0.5
4.124 * [taylor]: Taking taylor expansion of (/ y x) in x
4.124 * [taylor]: Taking taylor expansion of y in x
4.124 * [backup-simplify]: Simplify y into y
4.124 * [taylor]: Taking taylor expansion of x in x
4.124 * [backup-simplify]: Simplify 0 into 0
4.124 * [backup-simplify]: Simplify 1 into 1
4.124 * [backup-simplify]: Simplify (/ y 1) into y
4.125 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.125 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.125 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.125 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
4.125 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.125 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.125 * [taylor]: Taking taylor expansion of 0.5 in y
4.125 * [backup-simplify]: Simplify 0.5 into 0.5
4.125 * [taylor]: Taking taylor expansion of (/ y x) in y
4.125 * [taylor]: Taking taylor expansion of y in y
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify 1 into 1
4.125 * [taylor]: Taking taylor expansion of x in y
4.125 * [backup-simplify]: Simplify x into x
4.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.125 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.125 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.125 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.125 * [taylor]: Taking taylor expansion of 0.5 in y
4.125 * [backup-simplify]: Simplify 0.5 into 0.5
4.125 * [taylor]: Taking taylor expansion of (/ y x) in y
4.126 * [taylor]: Taking taylor expansion of y in y
4.126 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify 1 into 1
4.126 * [taylor]: Taking taylor expansion of x in y
4.126 * [backup-simplify]: Simplify x into x
4.126 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.126 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.126 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.126 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
4.127 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.127 * [taylor]: Taking taylor expansion of 0 in y
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.128 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.128 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.129 * [backup-simplify]: Simplify (+ 0) into 0
4.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.130 * [taylor]: Taking taylor expansion of 0 in y
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.131 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
4.133 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.134 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
4.134 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
4.134 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.135 * [taylor]: Taking taylor expansion of 0 in y
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.137 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.137 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.138 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
4.139 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.140 * [taylor]: Taking taylor expansion of 0 in y
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
4.140 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
4.140 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
4.140 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
4.140 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.140 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.140 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.140 * [taylor]: Taking taylor expansion of 0.5 in y
4.140 * [backup-simplify]: Simplify 0.5 into 0.5
4.140 * [taylor]: Taking taylor expansion of (/ y x) in y
4.140 * [taylor]: Taking taylor expansion of y in y
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify 1 into 1
4.140 * [taylor]: Taking taylor expansion of x in y
4.140 * [backup-simplify]: Simplify x into x
4.140 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.140 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.141 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.141 * [taylor]: Taking taylor expansion of 0.5 in y
4.141 * [backup-simplify]: Simplify 0.5 into 0.5
4.141 * [taylor]: Taking taylor expansion of (/ y x) in y
4.141 * [taylor]: Taking taylor expansion of y in y
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 1 into 1
4.141 * [taylor]: Taking taylor expansion of x in y
4.141 * [backup-simplify]: Simplify x into x
4.141 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.141 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.141 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.141 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.141 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.141 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.141 * [taylor]: Taking taylor expansion of 0.5 in x
4.141 * [backup-simplify]: Simplify 0.5 into 0.5
4.141 * [taylor]: Taking taylor expansion of (/ y x) in x
4.141 * [taylor]: Taking taylor expansion of y in x
4.141 * [backup-simplify]: Simplify y into y
4.141 * [taylor]: Taking taylor expansion of x in x
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 1 into 1
4.141 * [backup-simplify]: Simplify (/ y 1) into y
4.141 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.141 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.141 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.141 * [taylor]: Taking taylor expansion of 0.5 in x
4.141 * [backup-simplify]: Simplify 0.5 into 0.5
4.141 * [taylor]: Taking taylor expansion of (/ y x) in x
4.141 * [taylor]: Taking taylor expansion of y in x
4.141 * [backup-simplify]: Simplify y into y
4.141 * [taylor]: Taking taylor expansion of x in x
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 1 into 1
4.141 * [backup-simplify]: Simplify (/ y 1) into y
4.142 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.142 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.142 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.142 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.142 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.142 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.142 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.142 * [taylor]: Taking taylor expansion of 0.5 in x
4.142 * [backup-simplify]: Simplify 0.5 into 0.5
4.142 * [taylor]: Taking taylor expansion of (/ y x) in x
4.142 * [taylor]: Taking taylor expansion of y in x
4.142 * [backup-simplify]: Simplify y into y
4.142 * [taylor]: Taking taylor expansion of x in x
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify 1 into 1
4.142 * [backup-simplify]: Simplify (/ y 1) into y
4.142 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.142 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.142 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.142 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.142 * [taylor]: Taking taylor expansion of 0.5 in x
4.142 * [backup-simplify]: Simplify 0.5 into 0.5
4.142 * [taylor]: Taking taylor expansion of (/ y x) in x
4.142 * [taylor]: Taking taylor expansion of y in x
4.142 * [backup-simplify]: Simplify y into y
4.142 * [taylor]: Taking taylor expansion of x in x
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify 1 into 1
4.142 * [backup-simplify]: Simplify (/ y 1) into y
4.142 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.142 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.142 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.143 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
4.143 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.143 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.143 * [taylor]: Taking taylor expansion of 0.5 in y
4.143 * [backup-simplify]: Simplify 0.5 into 0.5
4.143 * [taylor]: Taking taylor expansion of (/ y x) in y
4.143 * [taylor]: Taking taylor expansion of y in y
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify 1 into 1
4.143 * [taylor]: Taking taylor expansion of x in y
4.143 * [backup-simplify]: Simplify x into x
4.143 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.143 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.143 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.143 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.143 * [taylor]: Taking taylor expansion of 0.5 in y
4.143 * [backup-simplify]: Simplify 0.5 into 0.5
4.143 * [taylor]: Taking taylor expansion of (/ y x) in y
4.143 * [taylor]: Taking taylor expansion of y in y
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify 1 into 1
4.143 * [taylor]: Taking taylor expansion of x in y
4.143 * [backup-simplify]: Simplify x into x
4.143 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.143 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.143 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.143 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
4.144 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.144 * [taylor]: Taking taylor expansion of 0 in y
4.144 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.144 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.145 * [backup-simplify]: Simplify (+ 0) into 0
4.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
4.145 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.146 * [taylor]: Taking taylor expansion of 0 in y
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.146 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
4.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.148 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
4.148 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
4.148 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.148 * [taylor]: Taking taylor expansion of 0 in y
4.148 * [backup-simplify]: Simplify 0 into 0
4.148 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.150 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.150 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.151 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
4.152 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.153 * [taylor]: Taking taylor expansion of 0 in y
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
4.153 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1)
4.153 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
4.153 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
4.153 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
4.153 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.153 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
4.153 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.153 * [taylor]: Taking taylor expansion of 0.5 in y
4.153 * [backup-simplify]: Simplify 0.5 into 0.5
4.153 * [taylor]: Taking taylor expansion of (/ x y) in y
4.154 * [taylor]: Taking taylor expansion of x in y
4.154 * [backup-simplify]: Simplify x into x
4.154 * [taylor]: Taking taylor expansion of y in y
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify 1 into 1
4.154 * [backup-simplify]: Simplify (/ x 1) into x
4.154 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.154 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
4.154 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
4.154 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.154 * [taylor]: Taking taylor expansion of 0.5 in y
4.154 * [backup-simplify]: Simplify 0.5 into 0.5
4.154 * [taylor]: Taking taylor expansion of (/ x y) in y
4.154 * [taylor]: Taking taylor expansion of x in y
4.154 * [backup-simplify]: Simplify x into x
4.154 * [taylor]: Taking taylor expansion of y in y
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify 1 into 1
4.154 * [backup-simplify]: Simplify (/ x 1) into x
4.154 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.154 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
4.154 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.154 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
4.154 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.154 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.154 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.154 * [taylor]: Taking taylor expansion of 0.5 in x
4.154 * [backup-simplify]: Simplify 0.5 into 0.5
4.154 * [taylor]: Taking taylor expansion of (/ x y) in x
4.154 * [taylor]: Taking taylor expansion of x in x
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify 1 into 1
4.154 * [taylor]: Taking taylor expansion of y in x
4.154 * [backup-simplify]: Simplify y into y
4.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.154 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.154 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.155 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.155 * [taylor]: Taking taylor expansion of 0.5 in x
4.155 * [backup-simplify]: Simplify 0.5 into 0.5
4.155 * [taylor]: Taking taylor expansion of (/ x y) in x
4.155 * [taylor]: Taking taylor expansion of x in x
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 1 into 1
4.155 * [taylor]: Taking taylor expansion of y in x
4.155 * [backup-simplify]: Simplify y into y
4.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.155 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.155 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
4.155 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
4.155 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.155 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.155 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.155 * [taylor]: Taking taylor expansion of 0.5 in x
4.155 * [backup-simplify]: Simplify 0.5 into 0.5
4.155 * [taylor]: Taking taylor expansion of (/ x y) in x
4.155 * [taylor]: Taking taylor expansion of x in x
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 1 into 1
4.155 * [taylor]: Taking taylor expansion of y in x
4.155 * [backup-simplify]: Simplify y into y
4.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.155 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.155 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.155 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.155 * [taylor]: Taking taylor expansion of 0.5 in x
4.155 * [backup-simplify]: Simplify 0.5 into 0.5
4.155 * [taylor]: Taking taylor expansion of (/ x y) in x
4.155 * [taylor]: Taking taylor expansion of x in x
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 1 into 1
4.155 * [taylor]: Taking taylor expansion of y in x
4.155 * [backup-simplify]: Simplify y into y
4.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.155 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.156 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
4.156 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
4.156 * [taylor]: Taking taylor expansion of 0.5 in y
4.156 * [backup-simplify]: Simplify 0.5 into 0.5
4.156 * [taylor]: Taking taylor expansion of y in y
4.156 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify 1 into 1
4.156 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
4.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
4.157 * [backup-simplify]: Simplify 0 into 0
4.157 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.157 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
4.158 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.158 * [backup-simplify]: Simplify (+ 0) into 0
4.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
4.158 * [taylor]: Taking taylor expansion of 0 in y
4.158 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.159 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.160 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.160 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
4.161 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
4.161 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3)))
4.161 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
4.161 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
4.161 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
4.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
4.161 * [taylor]: Taking taylor expansion of (pow y 3) in y
4.161 * [taylor]: Taking taylor expansion of y in y
4.161 * [backup-simplify]: Simplify 0 into 0
4.161 * [backup-simplify]: Simplify 1 into 1
4.162 * [backup-simplify]: Simplify (* 1 1) into 1
4.162 * [backup-simplify]: Simplify (* 1 1) into 1
4.162 * [backup-simplify]: Simplify (/ 1 1) into 1
4.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.168 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.168 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.168 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
4.168 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
4.168 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
4.169 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.169 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.169 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.169 * [taylor]: Taking taylor expansion of 0.5 in y
4.169 * [backup-simplify]: Simplify 0.5 into 0.5
4.169 * [taylor]: Taking taylor expansion of (/ y x) in y
4.169 * [taylor]: Taking taylor expansion of y in y
4.169 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify 1 into 1
4.169 * [taylor]: Taking taylor expansion of x in y
4.169 * [backup-simplify]: Simplify x into x
4.169 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.169 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.169 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.169 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.169 * [taylor]: Taking taylor expansion of 0.5 in y
4.169 * [backup-simplify]: Simplify 0.5 into 0.5
4.169 * [taylor]: Taking taylor expansion of (/ y x) in y
4.169 * [taylor]: Taking taylor expansion of y in y
4.169 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify 1 into 1
4.169 * [taylor]: Taking taylor expansion of x in y
4.169 * [backup-simplify]: Simplify x into x
4.169 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.169 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.169 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.169 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.169 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.169 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.169 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.169 * [taylor]: Taking taylor expansion of 0.5 in x
4.169 * [backup-simplify]: Simplify 0.5 into 0.5
4.169 * [taylor]: Taking taylor expansion of (/ y x) in x
4.169 * [taylor]: Taking taylor expansion of y in x
4.169 * [backup-simplify]: Simplify y into y
4.169 * [taylor]: Taking taylor expansion of x in x
4.169 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify 1 into 1
4.169 * [backup-simplify]: Simplify (/ y 1) into y
4.170 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.170 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.170 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.170 * [taylor]: Taking taylor expansion of 0.5 in x
4.170 * [backup-simplify]: Simplify 0.5 into 0.5
4.170 * [taylor]: Taking taylor expansion of (/ y x) in x
4.170 * [taylor]: Taking taylor expansion of y in x
4.170 * [backup-simplify]: Simplify y into y
4.170 * [taylor]: Taking taylor expansion of x in x
4.170 * [backup-simplify]: Simplify 0 into 0
4.170 * [backup-simplify]: Simplify 1 into 1
4.170 * [backup-simplify]: Simplify (/ y 1) into y
4.170 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.170 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.170 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.170 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.170 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.170 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.170 * [taylor]: Taking taylor expansion of 0.5 in x
4.170 * [backup-simplify]: Simplify 0.5 into 0.5
4.170 * [taylor]: Taking taylor expansion of (/ y x) in x
4.170 * [taylor]: Taking taylor expansion of y in x
4.170 * [backup-simplify]: Simplify y into y
4.170 * [taylor]: Taking taylor expansion of x in x
4.170 * [backup-simplify]: Simplify 0 into 0
4.170 * [backup-simplify]: Simplify 1 into 1
4.170 * [backup-simplify]: Simplify (/ y 1) into y
4.170 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.170 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.170 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.170 * [taylor]: Taking taylor expansion of 0.5 in x
4.170 * [backup-simplify]: Simplify 0.5 into 0.5
4.170 * [taylor]: Taking taylor expansion of (/ y x) in x
4.170 * [taylor]: Taking taylor expansion of y in x
4.170 * [backup-simplify]: Simplify y into y
4.170 * [taylor]: Taking taylor expansion of x in x
4.171 * [backup-simplify]: Simplify 0 into 0
4.171 * [backup-simplify]: Simplify 1 into 1
4.171 * [backup-simplify]: Simplify (/ y 1) into y
4.171 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.171 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.171 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.171 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
4.171 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.171 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.171 * [taylor]: Taking taylor expansion of 0.5 in y
4.171 * [backup-simplify]: Simplify 0.5 into 0.5
4.171 * [taylor]: Taking taylor expansion of (/ y x) in y
4.171 * [taylor]: Taking taylor expansion of y in y
4.171 * [backup-simplify]: Simplify 0 into 0
4.171 * [backup-simplify]: Simplify 1 into 1
4.171 * [taylor]: Taking taylor expansion of x in y
4.171 * [backup-simplify]: Simplify x into x
4.171 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.171 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.171 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.171 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.171 * [taylor]: Taking taylor expansion of 0.5 in y
4.171 * [backup-simplify]: Simplify 0.5 into 0.5
4.171 * [taylor]: Taking taylor expansion of (/ y x) in y
4.171 * [taylor]: Taking taylor expansion of y in y
4.171 * [backup-simplify]: Simplify 0 into 0
4.171 * [backup-simplify]: Simplify 1 into 1
4.171 * [taylor]: Taking taylor expansion of x in y
4.171 * [backup-simplify]: Simplify x into x
4.171 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.171 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.171 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.172 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
4.172 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.172 * [taylor]: Taking taylor expansion of 0 in y
4.172 * [backup-simplify]: Simplify 0 into 0
4.172 * [backup-simplify]: Simplify 0 into 0
4.172 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.172 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.173 * [backup-simplify]: Simplify (+ 0) into 0
4.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.174 * [taylor]: Taking taylor expansion of 0 in y
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.175 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
4.176 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.176 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
4.176 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
4.177 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.177 * [taylor]: Taking taylor expansion of 0 in y
4.177 * [backup-simplify]: Simplify 0 into 0
4.177 * [backup-simplify]: Simplify 0 into 0
4.177 * [backup-simplify]: Simplify 0 into 0
4.177 * [backup-simplify]: Simplify 0 into 0
4.177 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.178 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.179 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.179 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.180 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
4.181 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.182 * [taylor]: Taking taylor expansion of 0 in y
4.182 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
4.182 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
4.182 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
4.183 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
4.183 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.183 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.183 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.183 * [taylor]: Taking taylor expansion of 0.5 in y
4.183 * [backup-simplify]: Simplify 0.5 into 0.5
4.183 * [taylor]: Taking taylor expansion of (/ y x) in y
4.183 * [taylor]: Taking taylor expansion of y in y
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 1 into 1
4.183 * [taylor]: Taking taylor expansion of x in y
4.183 * [backup-simplify]: Simplify x into x
4.183 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.183 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.183 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.183 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.183 * [taylor]: Taking taylor expansion of 0.5 in y
4.183 * [backup-simplify]: Simplify 0.5 into 0.5
4.183 * [taylor]: Taking taylor expansion of (/ y x) in y
4.183 * [taylor]: Taking taylor expansion of y in y
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 1 into 1
4.183 * [taylor]: Taking taylor expansion of x in y
4.183 * [backup-simplify]: Simplify x into x
4.183 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.183 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.183 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.183 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.183 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.183 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.183 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.183 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.183 * [taylor]: Taking taylor expansion of 0.5 in x
4.183 * [backup-simplify]: Simplify 0.5 into 0.5
4.183 * [taylor]: Taking taylor expansion of (/ y x) in x
4.183 * [taylor]: Taking taylor expansion of y in x
4.183 * [backup-simplify]: Simplify y into y
4.183 * [taylor]: Taking taylor expansion of x in x
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [backup-simplify]: Simplify 1 into 1
4.184 * [backup-simplify]: Simplify (/ y 1) into y
4.184 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.184 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.184 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.184 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.184 * [taylor]: Taking taylor expansion of 0.5 in x
4.184 * [backup-simplify]: Simplify 0.5 into 0.5
4.184 * [taylor]: Taking taylor expansion of (/ y x) in x
4.184 * [taylor]: Taking taylor expansion of y in x
4.184 * [backup-simplify]: Simplify y into y
4.184 * [taylor]: Taking taylor expansion of x in x
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [backup-simplify]: Simplify 1 into 1
4.184 * [backup-simplify]: Simplify (/ y 1) into y
4.184 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.184 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.184 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.184 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.184 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.184 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.184 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.184 * [taylor]: Taking taylor expansion of 0.5 in x
4.184 * [backup-simplify]: Simplify 0.5 into 0.5
4.184 * [taylor]: Taking taylor expansion of (/ y x) in x
4.184 * [taylor]: Taking taylor expansion of y in x
4.184 * [backup-simplify]: Simplify y into y
4.184 * [taylor]: Taking taylor expansion of x in x
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [backup-simplify]: Simplify 1 into 1
4.184 * [backup-simplify]: Simplify (/ y 1) into y
4.184 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.184 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.184 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.184 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.184 * [taylor]: Taking taylor expansion of 0.5 in x
4.185 * [backup-simplify]: Simplify 0.5 into 0.5
4.185 * [taylor]: Taking taylor expansion of (/ y x) in x
4.185 * [taylor]: Taking taylor expansion of y in x
4.185 * [backup-simplify]: Simplify y into y
4.185 * [taylor]: Taking taylor expansion of x in x
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [backup-simplify]: Simplify (/ y 1) into y
4.185 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.185 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.185 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.185 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
4.185 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.185 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.185 * [taylor]: Taking taylor expansion of 0.5 in y
4.185 * [backup-simplify]: Simplify 0.5 into 0.5
4.185 * [taylor]: Taking taylor expansion of (/ y x) in y
4.185 * [taylor]: Taking taylor expansion of y in y
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [taylor]: Taking taylor expansion of x in y
4.185 * [backup-simplify]: Simplify x into x
4.185 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.185 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.185 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.185 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.185 * [taylor]: Taking taylor expansion of 0.5 in y
4.185 * [backup-simplify]: Simplify 0.5 into 0.5
4.185 * [taylor]: Taking taylor expansion of (/ y x) in y
4.185 * [taylor]: Taking taylor expansion of y in y
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [taylor]: Taking taylor expansion of x in y
4.185 * [backup-simplify]: Simplify x into x
4.185 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.185 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.186 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.186 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.186 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
4.186 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.186 * [taylor]: Taking taylor expansion of 0 in y
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.187 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.187 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.187 * [backup-simplify]: Simplify (+ 0) into 0
4.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
4.188 * [backup-simplify]: Simplify 0 into 0
4.188 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.188 * [taylor]: Taking taylor expansion of 0 in y
4.188 * [backup-simplify]: Simplify 0 into 0
4.188 * [backup-simplify]: Simplify 0 into 0
4.188 * [backup-simplify]: Simplify 0 into 0
4.188 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.189 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
4.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.191 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
4.191 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
4.191 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.191 * [taylor]: Taking taylor expansion of 0 in y
4.191 * [backup-simplify]: Simplify 0 into 0
4.191 * [backup-simplify]: Simplify 0 into 0
4.191 * [backup-simplify]: Simplify 0 into 0
4.191 * [backup-simplify]: Simplify 0 into 0
4.191 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.192 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.193 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.193 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.193 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.194 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
4.195 * [backup-simplify]: Simplify 0 into 0
4.195 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.195 * [taylor]: Taking taylor expansion of 0 in y
4.195 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
4.196 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2)
4.196 * [backup-simplify]: Simplify (cos (/ x (* y 2.0))) into (cos (* 0.5 (/ x y)))
4.196 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in (x y) around 0
4.196 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
4.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.196 * [taylor]: Taking taylor expansion of 0.5 in y
4.196 * [backup-simplify]: Simplify 0.5 into 0.5
4.196 * [taylor]: Taking taylor expansion of (/ x y) in y
4.196 * [taylor]: Taking taylor expansion of x in y
4.196 * [backup-simplify]: Simplify x into x
4.196 * [taylor]: Taking taylor expansion of y in y
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 1 into 1
4.196 * [backup-simplify]: Simplify (/ x 1) into x
4.196 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.196 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
4.196 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.196 * [taylor]: Taking taylor expansion of 0.5 in x
4.196 * [backup-simplify]: Simplify 0.5 into 0.5
4.196 * [taylor]: Taking taylor expansion of (/ x y) in x
4.196 * [taylor]: Taking taylor expansion of x in x
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 1 into 1
4.197 * [taylor]: Taking taylor expansion of y in x
4.197 * [backup-simplify]: Simplify y into y
4.197 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.197 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.197 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.197 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.197 * [taylor]: Taking taylor expansion of 0.5 in x
4.197 * [backup-simplify]: Simplify 0.5 into 0.5
4.197 * [taylor]: Taking taylor expansion of (/ x y) in x
4.197 * [taylor]: Taking taylor expansion of x in x
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify 1 into 1
4.197 * [taylor]: Taking taylor expansion of y in x
4.197 * [backup-simplify]: Simplify y into y
4.197 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.197 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.197 * [taylor]: Taking taylor expansion of 1 in y
4.197 * [backup-simplify]: Simplify 1 into 1
4.197 * [backup-simplify]: Simplify 1 into 1
4.197 * [backup-simplify]: Simplify (+ 0) into 0
4.197 * [taylor]: Taking taylor expansion of 0 in y
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify 0 into 0
4.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
4.198 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 (pow y 2)))) in y
4.198 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y
4.198 * [taylor]: Taking taylor expansion of 0.125 in y
4.198 * [backup-simplify]: Simplify 0.125 into 0.125
4.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.198 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.198 * [taylor]: Taking taylor expansion of y in y
4.198 * [backup-simplify]: Simplify 0 into 0
4.198 * [backup-simplify]: Simplify 1 into 1
4.198 * [backup-simplify]: Simplify (* 1 1) into 1
4.198 * [backup-simplify]: Simplify (/ 1 1) into 1
4.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.201 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0
4.201 * [backup-simplify]: Simplify (- 0) into 0
4.201 * [backup-simplify]: Simplify 0 into 0
4.201 * [backup-simplify]: Simplify 0 into 0
4.201 * [backup-simplify]: Simplify 0 into 0
4.201 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.201 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
4.202 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.202 * [taylor]: Taking taylor expansion of 0 in y
4.202 * [backup-simplify]: Simplify 0 into 0
4.202 * [backup-simplify]: Simplify 0 into 0
4.202 * [backup-simplify]: Simplify 1 into 1
4.202 * [backup-simplify]: Simplify (cos (/ (/ 1 x) (* (/ 1 y) 2.0))) into (cos (* 0.5 (/ y x)))
4.202 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in (x y) around 0
4.202 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.202 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.202 * [taylor]: Taking taylor expansion of 0.5 in y
4.202 * [backup-simplify]: Simplify 0.5 into 0.5
4.202 * [taylor]: Taking taylor expansion of (/ y x) in y
4.202 * [taylor]: Taking taylor expansion of y in y
4.202 * [backup-simplify]: Simplify 0 into 0
4.202 * [backup-simplify]: Simplify 1 into 1
4.202 * [taylor]: Taking taylor expansion of x in y
4.202 * [backup-simplify]: Simplify x into x
4.202 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.202 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.202 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.202 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.202 * [taylor]: Taking taylor expansion of 0.5 in x
4.202 * [backup-simplify]: Simplify 0.5 into 0.5
4.202 * [taylor]: Taking taylor expansion of (/ y x) in x
4.202 * [taylor]: Taking taylor expansion of y in x
4.202 * [backup-simplify]: Simplify y into y
4.202 * [taylor]: Taking taylor expansion of x in x
4.202 * [backup-simplify]: Simplify 0 into 0
4.202 * [backup-simplify]: Simplify 1 into 1
4.203 * [backup-simplify]: Simplify (/ y 1) into y
4.203 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.203 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.203 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.203 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.203 * [taylor]: Taking taylor expansion of 0.5 in x
4.203 * [backup-simplify]: Simplify 0.5 into 0.5
4.203 * [taylor]: Taking taylor expansion of (/ y x) in x
4.203 * [taylor]: Taking taylor expansion of y in x
4.203 * [backup-simplify]: Simplify y into y
4.203 * [taylor]: Taking taylor expansion of x in x
4.203 * [backup-simplify]: Simplify 0 into 0
4.203 * [backup-simplify]: Simplify 1 into 1
4.203 * [backup-simplify]: Simplify (/ y 1) into y
4.203 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.203 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.203 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.203 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.203 * [taylor]: Taking taylor expansion of 0.5 in y
4.203 * [backup-simplify]: Simplify 0.5 into 0.5
4.203 * [taylor]: Taking taylor expansion of (/ y x) in y
4.203 * [taylor]: Taking taylor expansion of y in y
4.203 * [backup-simplify]: Simplify 0 into 0
4.203 * [backup-simplify]: Simplify 1 into 1
4.203 * [taylor]: Taking taylor expansion of x in y
4.203 * [backup-simplify]: Simplify x into x
4.203 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.203 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.203 * [backup-simplify]: Simplify 1 into 1
4.203 * [taylor]: Taking taylor expansion of 0 in y
4.203 * [backup-simplify]: Simplify 0 into 0
4.203 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify (+ 0) into 0
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [taylor]: Taking taylor expansion of 0 in y
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.204 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow x 2)))) into (- (* 0.125 (/ 1 (pow x 2))))
4.204 * [taylor]: Taking taylor expansion of 0 in y
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.205 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.205 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.205 * [backup-simplify]: Simplify 0 into 0
4.205 * [taylor]: Taking taylor expansion of 0 in y
4.205 * [backup-simplify]: Simplify 0 into 0
4.205 * [backup-simplify]: Simplify 0 into 0
4.205 * [backup-simplify]: Simplify 0 into 0
4.205 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ 1 (pow (/ 1 x) 2)))) (pow (* (/ 1 y) 1) 2)) 1) into (- 1 (* 0.125 (/ (pow x 2) (pow y 2))))
4.206 * [backup-simplify]: Simplify (cos (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (cos (* 0.5 (/ y x)))
4.206 * [approximate]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in (x y) around 0
4.206 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.206 * [taylor]: Taking taylor expansion of 0.5 in y
4.206 * [backup-simplify]: Simplify 0.5 into 0.5
4.206 * [taylor]: Taking taylor expansion of (/ y x) in y
4.206 * [taylor]: Taking taylor expansion of y in y
4.206 * [backup-simplify]: Simplify 0 into 0
4.206 * [backup-simplify]: Simplify 1 into 1
4.206 * [taylor]: Taking taylor expansion of x in y
4.206 * [backup-simplify]: Simplify x into x
4.206 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.206 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.206 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.206 * [taylor]: Taking taylor expansion of 0.5 in x
4.206 * [backup-simplify]: Simplify 0.5 into 0.5
4.206 * [taylor]: Taking taylor expansion of (/ y x) in x
4.206 * [taylor]: Taking taylor expansion of y in x
4.206 * [backup-simplify]: Simplify y into y
4.206 * [taylor]: Taking taylor expansion of x in x
4.206 * [backup-simplify]: Simplify 0 into 0
4.206 * [backup-simplify]: Simplify 1 into 1
4.206 * [backup-simplify]: Simplify (/ y 1) into y
4.206 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.206 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.206 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.206 * [taylor]: Taking taylor expansion of 0.5 in x
4.206 * [backup-simplify]: Simplify 0.5 into 0.5
4.206 * [taylor]: Taking taylor expansion of (/ y x) in x
4.206 * [taylor]: Taking taylor expansion of y in x
4.206 * [backup-simplify]: Simplify y into y
4.206 * [taylor]: Taking taylor expansion of x in x
4.206 * [backup-simplify]: Simplify 0 into 0
4.206 * [backup-simplify]: Simplify 1 into 1
4.206 * [backup-simplify]: Simplify (/ y 1) into y
4.206 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.206 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.207 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.207 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.207 * [taylor]: Taking taylor expansion of 0.5 in y
4.207 * [backup-simplify]: Simplify 0.5 into 0.5
4.207 * [taylor]: Taking taylor expansion of (/ y x) in y
4.207 * [taylor]: Taking taylor expansion of y in y
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify 1 into 1
4.207 * [taylor]: Taking taylor expansion of x in y
4.207 * [backup-simplify]: Simplify x into x
4.207 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.207 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.207 * [backup-simplify]: Simplify 1 into 1
4.207 * [taylor]: Taking taylor expansion of 0 in y
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify 0 into 0
4.210 * [backup-simplify]: Simplify (+ 0) into 0
4.210 * [backup-simplify]: Simplify 0 into 0
4.210 * [taylor]: Taking taylor expansion of 0 in y
4.210 * [backup-simplify]: Simplify 0 into 0
4.210 * [backup-simplify]: Simplify 0 into 0
4.210 * [backup-simplify]: Simplify 0 into 0
4.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.211 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow x 2)))) into (- (* 0.125 (/ 1 (pow x 2))))
4.211 * [taylor]: Taking taylor expansion of 0 in y
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.212 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [taylor]: Taking taylor expansion of 0 in y
4.212 * [backup-simplify]: Simplify 0 into 0
4.213 * [backup-simplify]: Simplify 0 into 0
4.213 * [backup-simplify]: Simplify 0 into 0
4.213 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ 1 (pow (/ 1 (- x)) 2)))) (pow (* (/ 1 (- y)) 1) 2)) 1) into (- 1 (* 0.125 (/ (pow x 2) (pow y 2))))
4.213 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
4.213 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y)))
4.213 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0
4.213 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
4.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.213 * [taylor]: Taking taylor expansion of 0.5 in y
4.213 * [backup-simplify]: Simplify 0.5 into 0.5
4.213 * [taylor]: Taking taylor expansion of (/ x y) in y
4.213 * [taylor]: Taking taylor expansion of x in y
4.214 * [backup-simplify]: Simplify x into x
4.214 * [taylor]: Taking taylor expansion of y in y
4.214 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify 1 into 1
4.214 * [backup-simplify]: Simplify (/ x 1) into x
4.214 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.214 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
4.214 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.214 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.214 * [taylor]: Taking taylor expansion of 0.5 in x
4.214 * [backup-simplify]: Simplify 0.5 into 0.5
4.214 * [taylor]: Taking taylor expansion of (/ x y) in x
4.214 * [taylor]: Taking taylor expansion of x in x
4.214 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify 1 into 1
4.214 * [taylor]: Taking taylor expansion of y in x
4.214 * [backup-simplify]: Simplify y into y
4.214 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.214 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.214 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.214 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.214 * [taylor]: Taking taylor expansion of 0.5 in x
4.214 * [backup-simplify]: Simplify 0.5 into 0.5
4.214 * [taylor]: Taking taylor expansion of (/ x y) in x
4.214 * [taylor]: Taking taylor expansion of x in x
4.214 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify 1 into 1
4.214 * [taylor]: Taking taylor expansion of y in x
4.214 * [backup-simplify]: Simplify y into y
4.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.215 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.215 * [taylor]: Taking taylor expansion of 0 in y
4.215 * [backup-simplify]: Simplify 0 into 0
4.215 * [backup-simplify]: Simplify 0 into 0
4.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.215 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y
4.215 * [taylor]: Taking taylor expansion of 0.5 in y
4.215 * [backup-simplify]: Simplify 0.5 into 0.5
4.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.215 * [taylor]: Taking taylor expansion of y in y
4.215 * [backup-simplify]: Simplify 0 into 0
4.215 * [backup-simplify]: Simplify 1 into 1
4.216 * [backup-simplify]: Simplify (/ 1 1) into 1
4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.217 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
4.217 * [backup-simplify]: Simplify 0 into 0
4.217 * [backup-simplify]: Simplify 0 into 0
4.217 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
4.218 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.219 * [taylor]: Taking taylor expansion of 0 in y
4.219 * [backup-simplify]: Simplify 0 into 0
4.219 * [backup-simplify]: Simplify 0 into 0
4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.220 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
4.220 * [backup-simplify]: Simplify 0 into 0
4.220 * [backup-simplify]: Simplify 0 into 0
4.220 * [backup-simplify]: Simplify 0 into 0
4.221 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x)))
4.221 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
4.221 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.221 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.221 * [taylor]: Taking taylor expansion of 0.5 in y
4.221 * [backup-simplify]: Simplify 0.5 into 0.5
4.221 * [taylor]: Taking taylor expansion of (/ y x) in y
4.221 * [taylor]: Taking taylor expansion of y in y
4.221 * [backup-simplify]: Simplify 0 into 0
4.221 * [backup-simplify]: Simplify 1 into 1
4.221 * [taylor]: Taking taylor expansion of x in y
4.221 * [backup-simplify]: Simplify x into x
4.221 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.221 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.221 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.221 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.221 * [taylor]: Taking taylor expansion of 0.5 in x
4.221 * [backup-simplify]: Simplify 0.5 into 0.5
4.221 * [taylor]: Taking taylor expansion of (/ y x) in x
4.221 * [taylor]: Taking taylor expansion of y in x
4.221 * [backup-simplify]: Simplify y into y
4.221 * [taylor]: Taking taylor expansion of x in x
4.221 * [backup-simplify]: Simplify 0 into 0
4.221 * [backup-simplify]: Simplify 1 into 1
4.221 * [backup-simplify]: Simplify (/ y 1) into y
4.221 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.221 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.221 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.222 * [taylor]: Taking taylor expansion of 0.5 in x
4.222 * [backup-simplify]: Simplify 0.5 into 0.5
4.222 * [taylor]: Taking taylor expansion of (/ y x) in x
4.222 * [taylor]: Taking taylor expansion of y in x
4.222 * [backup-simplify]: Simplify y into y
4.222 * [taylor]: Taking taylor expansion of x in x
4.222 * [backup-simplify]: Simplify 0 into 0
4.222 * [backup-simplify]: Simplify 1 into 1
4.222 * [backup-simplify]: Simplify (/ y 1) into y
4.222 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.222 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.222 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.222 * [taylor]: Taking taylor expansion of 0.5 in y
4.222 * [backup-simplify]: Simplify 0.5 into 0.5
4.222 * [taylor]: Taking taylor expansion of (/ y x) in y
4.222 * [taylor]: Taking taylor expansion of y in y
4.222 * [backup-simplify]: Simplify 0 into 0
4.222 * [backup-simplify]: Simplify 1 into 1
4.222 * [taylor]: Taking taylor expansion of x in y
4.222 * [backup-simplify]: Simplify x into x
4.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.222 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.222 * [backup-simplify]: Simplify 0 into 0
4.223 * [taylor]: Taking taylor expansion of 0 in y
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.223 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.223 * [taylor]: Taking taylor expansion of 0 in y
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.224 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.224 * [backup-simplify]: Simplify 0 into 0
4.225 * [taylor]: Taking taylor expansion of 0 in y
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y))
4.225 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x)))
4.225 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
4.225 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.225 * [taylor]: Taking taylor expansion of 0.5 in y
4.225 * [backup-simplify]: Simplify 0.5 into 0.5
4.225 * [taylor]: Taking taylor expansion of (/ y x) in y
4.225 * [taylor]: Taking taylor expansion of y in y
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 1 into 1
4.225 * [taylor]: Taking taylor expansion of x in y
4.225 * [backup-simplify]: Simplify x into x
4.225 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.225 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.225 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.226 * [taylor]: Taking taylor expansion of 0.5 in x
4.226 * [backup-simplify]: Simplify 0.5 into 0.5
4.226 * [taylor]: Taking taylor expansion of (/ y x) in x
4.226 * [taylor]: Taking taylor expansion of y in x
4.226 * [backup-simplify]: Simplify y into y
4.226 * [taylor]: Taking taylor expansion of x in x
4.226 * [backup-simplify]: Simplify 0 into 0
4.226 * [backup-simplify]: Simplify 1 into 1
4.226 * [backup-simplify]: Simplify (/ y 1) into y
4.226 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.226 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.226 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.226 * [taylor]: Taking taylor expansion of 0.5 in x
4.226 * [backup-simplify]: Simplify 0.5 into 0.5
4.226 * [taylor]: Taking taylor expansion of (/ y x) in x
4.226 * [taylor]: Taking taylor expansion of y in x
4.226 * [backup-simplify]: Simplify y into y
4.226 * [taylor]: Taking taylor expansion of x in x
4.226 * [backup-simplify]: Simplify 0 into 0
4.226 * [backup-simplify]: Simplify 1 into 1
4.226 * [backup-simplify]: Simplify (/ y 1) into y
4.226 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.226 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.227 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.227 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.227 * [taylor]: Taking taylor expansion of 0.5 in y
4.227 * [backup-simplify]: Simplify 0.5 into 0.5
4.227 * [taylor]: Taking taylor expansion of (/ y x) in y
4.227 * [taylor]: Taking taylor expansion of y in y
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 1 into 1
4.227 * [taylor]: Taking taylor expansion of x in y
4.227 * [backup-simplify]: Simplify x into x
4.227 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.227 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [taylor]: Taking taylor expansion of 0 in y
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.227 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.227 * [taylor]: Taking taylor expansion of 0 in y
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 0 into 0
4.228 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.229 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [taylor]: Taking taylor expansion of 0 in y
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y))
4.229 * * * [progress]: simplifying candidates
4.230 * [simplify]: Simplifying:
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (log (cos (/ x (* y 2.0))))
  (exp (cos (/ x (* y 2.0))))
  (* (cbrt (cos (/ x (* y 2.0)))) (cbrt (cos (/ x (* y 2.0)))))
  (cbrt (cos (/ x (* y 2.0))))
  (* (* (cos (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (cos (/ x (* y 2.0))))
  (sqrt (cos (/ x (* y 2.0))))
  (sqrt (cos (/ x (* y 2.0))))
  (log (sin (/ x (* y 2.0))))
  (exp (sin (/ x (* y 2.0))))
  (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))
  (cbrt (sin (/ x (* y 2.0))))
  (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  1
  (- 1 (* 0.125 (/ (pow x 2) (pow y 2))))
  (- 1 (* 0.125 (/ (pow x 2) (pow y 2))))
  0
  (* 0.5 (/ x y))
  (* 0.5 (/ x y))
4.230 * * [simplify]: iteration 0: 48 enodes
4.237 * * [simplify]: iteration 1: 83 enodes
4.256 * * [simplify]: iteration 2: 269 enodes
4.433 * * [simplify]: iteration 3: 1970 enodes
5.068 * * [simplify]: iteration complete: 5001 enodes
5.068 * * [simplify]: Extracting #0: cost 25 inf + 0
5.068 * * [simplify]: Extracting #1: cost 50 inf + 2
5.070 * * [simplify]: Extracting #2: cost 1200 inf + 173
5.076 * * [simplify]: Extracting #3: cost 2079 inf + 11902
5.109 * * [simplify]: Extracting #4: cost 1344 inf + 160398
5.170 * * [simplify]: Extracting #5: cost 163 inf + 445827
5.221 * * [simplify]: Extracting #6: cost 0 inf + 498620
5.288 * [simplify]: Simplified to:
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (log (cos (/ x (* 2.0 y))))
  (exp (cos (/ x (* 2.0 y))))
  (* (cbrt (cos (/ x (* 2.0 y)))) (cbrt (cos (/ x (* 2.0 y)))))
  (cbrt (cos (/ x (* 2.0 y))))
  (* (cos (/ x (* 2.0 y))) (* (cos (/ x (* 2.0 y))) (cos (/ x (* 2.0 y)))))
  (sqrt (cos (/ x (* 2.0 y))))
  (sqrt (cos (/ x (* 2.0 y))))
  (log (sin (/ x (* 2.0 y))))
  (exp (sin (/ x (* 2.0 y))))
  (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))
  (cbrt (sin (/ x (* 2.0 y))))
  (* (* (sin (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y))))
  (sqrt (sin (/ x (* 2.0 y))))
  (sqrt (sin (/ x (* 2.0 y))))
  0
  (+ (/ (* 0.5 x) y) (* (/ x y) (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  (+ (/ (* 0.5 x) y) (* (/ x y) (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  0
  (+ (/ (* 0.5 x) y) (* (/ x y) (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  (+ (/ (* 0.5 x) y) (* (/ x y) (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  1
  (- 1 (* (/ x y) (* (/ x y) 0.125)))
  (- 1 (* (/ x y) (* (/ x y) 0.125)))
  0
  (/ (* 0.5 x) y)
  (/ (* 0.5 x) y)
5.293 * * * [progress]: adding candidates to table
5.588 * [progress]: [Phase 3 of 3] Extracting.
5.588 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (/ (exp (log (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (cbrt (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) 1.0)> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* 0.5 (/ x y))))))> #<alt (λ (x y) (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (log (exp (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (* (* (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (* (* (cbrt (cos (/ x (* y 2.0)))) (cbrt (cos (/ x (* y 2.0))))) (cbrt (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) 1) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (* (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (- 1 (* (/ x y) (* (/ x y) 0.125)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cbrt (* (* (cos (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))>)
5.593 * * * [regime-changes]: Trying 4 branch expressions: ((* y 2.0) (/ x (* y 2.0)) y x)
5.593 * * * * [regimes]: Trying to branch on (* y 2.0) from (#<alt (λ (x y) (/ (exp (log (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (cbrt (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) 1.0)> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* 0.5 (/ x y))))))> #<alt (λ (x y) (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (log (exp (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (* (* (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (* (* (cbrt (cos (/ x (* y 2.0)))) (cbrt (cos (/ x (* y 2.0))))) (cbrt (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) 1) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (* (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (- 1 (* (/ x y) (* (/ x y) 0.125)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cbrt (* (* (cos (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))>)
5.704 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (#<alt (λ (x y) (/ (exp (log (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (cbrt (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) 1.0)> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* 0.5 (/ x y))))))> #<alt (λ (x y) (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (log (exp (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (* (* (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (* (* (cbrt (cos (/ x (* y 2.0)))) (cbrt (cos (/ x (* y 2.0))))) (cbrt (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) 1) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (* (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (- 1 (* (/ x y) (* (/ x y) 0.125)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cbrt (* (* (cos (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))>)
5.829 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (/ (exp (log (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (cbrt (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) 1.0)> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* 0.5 (/ x y))))))> #<alt (λ (x y) (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (log (exp (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (* (* (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (* (* (cbrt (cos (/ x (* y 2.0)))) (cbrt (cos (/ x (* y 2.0))))) (cbrt (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) 1) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (* (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (- 1 (* (/ x y) (* (/ x y) 0.125)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cbrt (* (* (cos (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))>)
5.977 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (/ (exp (log (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (cbrt (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) 1.0)> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* 0.5 (/ x y))))))> #<alt (λ (x y) (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (log (exp (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (* (* (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (* (* (cbrt (cos (/ x (* y 2.0)))) (cbrt (cos (/ x (* y 2.0))))) (cbrt (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) 1) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (* (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (- 1 (* (/ x y) (* (/ x y) 0.125)))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (/ (sin (/ x (* y 2.0))) (cbrt (* (* (cos (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))))>)
6.078 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
6.078 * [simplify]: Simplifying:
  1.0
6.078 * * [simplify]: iteration 0: 1 enodes
6.078 * * [simplify]: iteration complete: 1 enodes
6.078 * * [simplify]: Extracting #0: cost 1 inf + 0
6.078 * * [simplify]: Extracting #1: cost 0 inf + 1
6.078 * [simplify]: Simplified to:
  1.0
13.578 * [regime-testing]: Baseline error score: 28.358933924677615
13.594 * [regime-testing]: Oracle error score: 25.692470074550897
13.615 * [regime-testing]: End program error score: 28.358933924677615
13.788 * [regime-testing]: Target error score: 28.63677791079864