31.041 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.136 * * * [progress]: [2/2] Setting up program.
0.140 * [progress]: [Phase 2 of 3] Improving.
0.140 * [simplify]: Simplifying:
  (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
0.140 * * [simplify]: iteration 0: 8 enodes
0.142 * * [simplify]: iteration 1: 11 enodes
0.144 * * [simplify]: iteration complete: 11 enodes
0.144 * * [simplify]: Extracting #0: cost 1 inf + 0
0.144 * * [simplify]: Extracting #1: cost 3 inf + 0
0.144 * * [simplify]: Extracting #2: cost 4 inf + 0
0.144 * * [simplify]: Extracting #3: cost 8 inf + 0
0.144 * * [simplify]: Extracting #4: cost 7 inf + 2
0.144 * * [simplify]: Extracting #5: cost 0 inf + 769
0.144 * [simplify]: Simplified to:
  (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
0.144 * * [progress]: iteration 1 / 4
0.144 * * * [progress]: picking best candidate
0.148 * * * * [pick]: Picked  #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))>
0.148 * * * [progress]: localizing error
0.205 * * * [progress]: generating rewritten candidates
0.205 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
0.210 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.217 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
0.236 * * * [progress]: generating series expansions
0.236 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
0.236 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
0.236 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
0.236 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
0.236 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.236 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.236 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.236 * [taylor]: Taking taylor expansion of 0.5 in y
0.236 * [backup-simplify]: Simplify 0.5 into 0.5
0.236 * [taylor]: Taking taylor expansion of (/ x y) in y
0.236 * [taylor]: Taking taylor expansion of x in y
0.236 * [backup-simplify]: Simplify x into x
0.236 * [taylor]: Taking taylor expansion of y in y
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (/ x 1) into x
0.236 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.236 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.236 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
0.236 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.236 * [taylor]: Taking taylor expansion of 0.5 in y
0.236 * [backup-simplify]: Simplify 0.5 into 0.5
0.236 * [taylor]: Taking taylor expansion of (/ x y) in y
0.237 * [taylor]: Taking taylor expansion of x in y
0.237 * [backup-simplify]: Simplify x into x
0.237 * [taylor]: Taking taylor expansion of y in y
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (/ x 1) into x
0.237 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.237 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
0.237 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.237 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.237 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.237 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.237 * [taylor]: Taking taylor expansion of 0.5 in x
0.237 * [backup-simplify]: Simplify 0.5 into 0.5
0.237 * [taylor]: Taking taylor expansion of (/ x y) in x
0.237 * [taylor]: Taking taylor expansion of x in x
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [taylor]: Taking taylor expansion of y in x
0.237 * [backup-simplify]: Simplify y into y
0.237 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.237 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.237 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.237 * [taylor]: Taking taylor expansion of 0.5 in x
0.237 * [backup-simplify]: Simplify 0.5 into 0.5
0.237 * [taylor]: Taking taylor expansion of (/ x y) in x
0.237 * [taylor]: Taking taylor expansion of x in x
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [taylor]: Taking taylor expansion of y in x
0.237 * [backup-simplify]: Simplify y into y
0.237 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.237 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.237 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.238 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.238 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.238 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.238 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.238 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.238 * [taylor]: Taking taylor expansion of 0.5 in x
0.238 * [backup-simplify]: Simplify 0.5 into 0.5
0.238 * [taylor]: Taking taylor expansion of (/ x y) in x
0.238 * [taylor]: Taking taylor expansion of x in x
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.238 * [taylor]: Taking taylor expansion of y in x
0.238 * [backup-simplify]: Simplify y into y
0.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.238 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.238 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.238 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.238 * [taylor]: Taking taylor expansion of 0.5 in x
0.238 * [backup-simplify]: Simplify 0.5 into 0.5
0.238 * [taylor]: Taking taylor expansion of (/ x y) in x
0.238 * [taylor]: Taking taylor expansion of x in x
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.238 * [taylor]: Taking taylor expansion of y in x
0.238 * [backup-simplify]: Simplify y into y
0.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.238 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.238 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.238 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
0.238 * [taylor]: Taking taylor expansion of 0.5 in y
0.238 * [backup-simplify]: Simplify 0.5 into 0.5
0.238 * [taylor]: Taking taylor expansion of y in y
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
0.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.241 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.241 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.242 * [backup-simplify]: Simplify (+ 0) into 0
0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
0.243 * [taylor]: Taking taylor expansion of 0 in y
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.245 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
0.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
0.248 * [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)))
0.248 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
0.248 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
0.248 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
0.248 * [taylor]: Taking taylor expansion of (pow y 3) 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 * [backup-simplify]: Simplify (* 1 1) into 1
0.249 * [backup-simplify]: Simplify (* 1 1) into 1
0.249 * [backup-simplify]: Simplify (/ 1 1) into 1
0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
0.258 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
0.258 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.259 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.259 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.259 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.259 * [taylor]: Taking taylor expansion of 0.5 in y
0.259 * [backup-simplify]: Simplify 0.5 into 0.5
0.259 * [taylor]: Taking taylor expansion of (/ y x) in y
0.259 * [taylor]: Taking taylor expansion of y in y
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.259 * [taylor]: Taking taylor expansion of x in y
0.259 * [backup-simplify]: Simplify x into x
0.259 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.259 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.259 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.259 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.259 * [taylor]: Taking taylor expansion of 0.5 in y
0.259 * [backup-simplify]: Simplify 0.5 into 0.5
0.259 * [taylor]: Taking taylor expansion of (/ y x) in y
0.259 * [taylor]: Taking taylor expansion of y in y
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.259 * [taylor]: Taking taylor expansion of x in y
0.259 * [backup-simplify]: Simplify x into x
0.259 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.259 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.260 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.260 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.260 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.260 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.260 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.260 * [taylor]: Taking taylor expansion of 0.5 in x
0.260 * [backup-simplify]: Simplify 0.5 into 0.5
0.260 * [taylor]: Taking taylor expansion of (/ y x) in x
0.260 * [taylor]: Taking taylor expansion of y in x
0.260 * [backup-simplify]: Simplify y into y
0.260 * [taylor]: Taking taylor expansion of x in x
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (/ y 1) into y
0.260 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.260 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.260 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.260 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.260 * [taylor]: Taking taylor expansion of 0.5 in x
0.260 * [backup-simplify]: Simplify 0.5 into 0.5
0.260 * [taylor]: Taking taylor expansion of (/ y x) in x
0.260 * [taylor]: Taking taylor expansion of y in x
0.260 * [backup-simplify]: Simplify y into y
0.261 * [taylor]: Taking taylor expansion of x in x
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (/ y 1) into y
0.261 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.261 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.261 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.261 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.261 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.261 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.261 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.261 * [taylor]: Taking taylor expansion of 0.5 in x
0.261 * [backup-simplify]: Simplify 0.5 into 0.5
0.261 * [taylor]: Taking taylor expansion of (/ y x) in x
0.261 * [taylor]: Taking taylor expansion of y in x
0.261 * [backup-simplify]: Simplify y into y
0.261 * [taylor]: Taking taylor expansion of x in x
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (/ y 1) into y
0.261 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.262 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.262 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.262 * [taylor]: Taking taylor expansion of 0.5 in x
0.262 * [backup-simplify]: Simplify 0.5 into 0.5
0.262 * [taylor]: Taking taylor expansion of (/ y x) in x
0.262 * [taylor]: Taking taylor expansion of y in x
0.262 * [backup-simplify]: Simplify y into y
0.262 * [taylor]: Taking taylor expansion of x in x
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (/ y 1) into y
0.262 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.262 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.262 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.262 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
0.262 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.262 * [taylor]: Taking taylor expansion of 0.5 in y
0.262 * [backup-simplify]: Simplify 0.5 into 0.5
0.262 * [taylor]: Taking taylor expansion of (/ y x) in y
0.262 * [taylor]: Taking taylor expansion of y in y
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of x in y
0.263 * [backup-simplify]: Simplify x into x
0.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.263 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.263 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) 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 (/ y x) in y
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 * [taylor]: Taking taylor expansion of x in y
0.263 * [backup-simplify]: Simplify x into x
0.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.263 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.263 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.263 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
0.264 * [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
0.264 * [taylor]: Taking taylor expansion of 0 in y
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.266 * [backup-simplify]: Simplify (+ 0) into 0
0.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [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
0.267 * [taylor]: Taking taylor expansion of 0 in y
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.269 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
0.269 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.270 * [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)))
0.270 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
0.271 * [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
0.271 * [taylor]: Taking taylor expansion of 0 in y
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.273 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.274 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.275 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.276 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.277 * [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
0.277 * [backup-simplify]: Simplify 0 into 0
0.278 * [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
0.278 * [taylor]: Taking taylor expansion of 0 in y
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.279 * [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))))
0.279 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
0.279 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
0.279 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.279 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.279 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.279 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.279 * [taylor]: Taking taylor expansion of 0.5 in y
0.279 * [backup-simplify]: Simplify 0.5 into 0.5
0.279 * [taylor]: Taking taylor expansion of (/ y x) 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 * [taylor]: Taking taylor expansion of x in y
0.279 * [backup-simplify]: Simplify x into x
0.279 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.279 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.279 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.280 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.280 * [taylor]: Taking taylor expansion of 0.5 in y
0.280 * [backup-simplify]: Simplify 0.5 into 0.5
0.280 * [taylor]: Taking taylor expansion of (/ y x) in y
0.280 * [taylor]: Taking taylor expansion of y in y
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of x in y
0.280 * [backup-simplify]: Simplify x into x
0.280 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.280 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.280 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.280 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.280 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.280 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.280 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.280 * [taylor]: Taking taylor expansion of 0.5 in x
0.280 * [backup-simplify]: Simplify 0.5 into 0.5
0.280 * [taylor]: Taking taylor expansion of (/ y x) in x
0.280 * [taylor]: Taking taylor expansion of y in x
0.280 * [backup-simplify]: Simplify y into y
0.280 * [taylor]: Taking taylor expansion of x in x
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ y 1) into y
0.281 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.281 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.281 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.281 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.281 * [taylor]: Taking taylor expansion of 0.5 in x
0.281 * [backup-simplify]: Simplify 0.5 into 0.5
0.281 * [taylor]: Taking taylor expansion of (/ y x) in x
0.281 * [taylor]: Taking taylor expansion of y in x
0.281 * [backup-simplify]: Simplify y into y
0.281 * [taylor]: Taking taylor expansion of x in x
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ y 1) into y
0.281 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.281 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.281 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.281 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.282 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.282 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.282 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.282 * [taylor]: Taking taylor expansion of 0.5 in x
0.282 * [backup-simplify]: Simplify 0.5 into 0.5
0.282 * [taylor]: Taking taylor expansion of (/ y x) in x
0.282 * [taylor]: Taking taylor expansion of y in x
0.282 * [backup-simplify]: Simplify y into y
0.282 * [taylor]: Taking taylor expansion of x in x
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (/ y 1) into y
0.282 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.282 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.282 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.282 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.282 * [taylor]: Taking taylor expansion of 0.5 in x
0.282 * [backup-simplify]: Simplify 0.5 into 0.5
0.282 * [taylor]: Taking taylor expansion of (/ y x) in x
0.282 * [taylor]: Taking taylor expansion of y in x
0.282 * [backup-simplify]: Simplify y into y
0.282 * [taylor]: Taking taylor expansion of x in x
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (/ y 1) into y
0.282 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.283 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.283 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.283 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
0.283 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.283 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.283 * [taylor]: Taking taylor expansion of 0.5 in y
0.283 * [backup-simplify]: Simplify 0.5 into 0.5
0.283 * [taylor]: Taking taylor expansion of (/ y x) in y
0.283 * [taylor]: Taking taylor expansion of y in y
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [taylor]: Taking taylor expansion of x in y
0.283 * [backup-simplify]: Simplify x into x
0.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.283 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.283 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.283 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.283 * [taylor]: Taking taylor expansion of 0.5 in y
0.283 * [backup-simplify]: Simplify 0.5 into 0.5
0.283 * [taylor]: Taking taylor expansion of (/ y x) in y
0.283 * [taylor]: Taking taylor expansion of y in y
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [taylor]: Taking taylor expansion of x in y
0.283 * [backup-simplify]: Simplify x into x
0.284 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.284 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.284 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.284 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
0.285 * [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
0.285 * [taylor]: Taking taylor expansion of 0 in y
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.286 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.286 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.287 * [backup-simplify]: Simplify (+ 0) into 0
0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [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
0.288 * [taylor]: Taking taylor expansion of 0 in y
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.289 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
0.291 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.292 * [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)))
0.292 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
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))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.293 * [taylor]: Taking taylor expansion of 0 in y
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
0.295 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.296 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.297 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.298 * [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
0.298 * [backup-simplify]: Simplify 0 into 0
0.299 * [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
0.299 * [taylor]: Taking taylor expansion of 0 in y
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.300 * [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))))
0.300 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.300 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y)))
0.300 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0
0.300 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.300 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.300 * [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 (/ x y) in y
0.300 * [taylor]: Taking taylor expansion of x in y
0.300 * [backup-simplify]: Simplify x into x
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
0.301 * [backup-simplify]: Simplify (/ x 1) into x
0.301 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.301 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.301 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.301 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) 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 (/ x y) in x
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 * [taylor]: Taking taylor expansion of y in x
0.301 * [backup-simplify]: Simplify y into y
0.301 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.301 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.301 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.301 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) 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 (/ x y) in x
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 * [taylor]: Taking taylor expansion of y in x
0.301 * [backup-simplify]: Simplify y into y
0.301 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.301 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.302 * [taylor]: Taking taylor expansion of 0 in y
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.302 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) 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 (/ 1 y) in y
0.302 * [taylor]: Taking taylor expansion of y in y
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.305 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.305 * [taylor]: Taking taylor expansion of 0 in y
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x)))
0.308 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
0.308 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.308 * [taylor]: Taking taylor expansion of 0.5 in y
0.308 * [backup-simplify]: Simplify 0.5 into 0.5
0.308 * [taylor]: Taking taylor expansion of (/ y x) in y
0.308 * [taylor]: Taking taylor expansion of y in y
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [taylor]: Taking taylor expansion of x in y
0.308 * [backup-simplify]: Simplify x into x
0.308 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.308 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.308 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.308 * [taylor]: Taking taylor expansion of 0.5 in x
0.308 * [backup-simplify]: Simplify 0.5 into 0.5
0.308 * [taylor]: Taking taylor expansion of (/ y x) in x
0.308 * [taylor]: Taking taylor expansion of y in x
0.308 * [backup-simplify]: Simplify y into y
0.308 * [taylor]: Taking taylor expansion of x in x
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (/ y 1) into y
0.308 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.308 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.308 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.308 * [taylor]: Taking taylor expansion of 0.5 in x
0.308 * [backup-simplify]: Simplify 0.5 into 0.5
0.309 * [taylor]: Taking taylor expansion of (/ y x) in x
0.309 * [taylor]: Taking taylor expansion of y in x
0.309 * [backup-simplify]: Simplify y into y
0.309 * [taylor]: Taking taylor expansion of x in x
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (/ y 1) into y
0.309 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.309 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.309 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.309 * [taylor]: Taking taylor expansion of 0.5 in y
0.309 * [backup-simplify]: Simplify 0.5 into 0.5
0.309 * [taylor]: Taking taylor expansion of (/ y x) in y
0.309 * [taylor]: Taking taylor expansion of y in y
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [taylor]: Taking taylor expansion of x in y
0.309 * [backup-simplify]: Simplify x into x
0.309 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.309 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [taylor]: Taking taylor expansion of 0 in y
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.310 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.310 * [taylor]: Taking taylor expansion of 0 in y
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.310 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.311 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [taylor]: Taking taylor expansion of 0 in y
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y))
0.312 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x)))
0.312 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
0.312 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.312 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.312 * [taylor]: Taking taylor expansion of 0.5 in y
0.312 * [backup-simplify]: Simplify 0.5 into 0.5
0.312 * [taylor]: Taking taylor expansion of (/ y x) in y
0.312 * [taylor]: Taking taylor expansion of y in y
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [taylor]: Taking taylor expansion of x in y
0.312 * [backup-simplify]: Simplify x into x
0.312 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.312 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.312 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.312 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.312 * [taylor]: Taking taylor expansion of 0.5 in x
0.312 * [backup-simplify]: Simplify 0.5 into 0.5
0.312 * [taylor]: Taking taylor expansion of (/ y x) in x
0.312 * [taylor]: Taking taylor expansion of y in x
0.312 * [backup-simplify]: Simplify y into y
0.312 * [taylor]: Taking taylor expansion of x in x
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (/ y 1) into y
0.313 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.313 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.313 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.313 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.313 * [taylor]: Taking taylor expansion of 0.5 in x
0.313 * [backup-simplify]: Simplify 0.5 into 0.5
0.313 * [taylor]: Taking taylor expansion of (/ y x) in x
0.313 * [taylor]: Taking taylor expansion of y in x
0.313 * [backup-simplify]: Simplify y into y
0.313 * [taylor]: Taking taylor expansion of x in x
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (/ y 1) into y
0.313 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.313 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.313 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.313 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.313 * [taylor]: Taking taylor expansion of 0.5 in y
0.313 * [backup-simplify]: Simplify 0.5 into 0.5
0.313 * [taylor]: Taking taylor expansion of (/ y x) in y
0.313 * [taylor]: Taking taylor expansion of y in y
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [taylor]: Taking taylor expansion of x in y
0.313 * [backup-simplify]: Simplify x into x
0.314 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.314 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [taylor]: Taking taylor expansion of 0 in y
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.314 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.314 * [taylor]: Taking taylor expansion of 0 in y
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.316 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [taylor]: Taking taylor expansion of 0 in y
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y))
0.316 * * * * [progress]: [ 3 / 3 ] generating series at (2)
0.317 * [backup-simplify]: Simplify (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y))))
0.317 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0
0.317 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y
0.317 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
0.317 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.317 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.317 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.317 * [taylor]: Taking taylor expansion of 0.5 in y
0.317 * [backup-simplify]: Simplify 0.5 into 0.5
0.317 * [taylor]: Taking taylor expansion of (/ x y) in y
0.317 * [taylor]: Taking taylor expansion of x in y
0.317 * [backup-simplify]: Simplify x into x
0.317 * [taylor]: Taking taylor expansion of y in y
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [backup-simplify]: Simplify (/ x 1) into x
0.317 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.317 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.317 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
0.317 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.317 * [taylor]: Taking taylor expansion of 0.5 in y
0.317 * [backup-simplify]: Simplify 0.5 into 0.5
0.317 * [taylor]: Taking taylor expansion of (/ x y) in y
0.317 * [taylor]: Taking taylor expansion of x in y
0.317 * [backup-simplify]: Simplify x into x
0.317 * [taylor]: Taking taylor expansion of y in y
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (/ x 1) into x
0.318 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.318 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
0.318 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.318 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.318 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.318 * [taylor]: Taking taylor expansion of 0.5 in y
0.318 * [backup-simplify]: Simplify 0.5 into 0.5
0.318 * [taylor]: Taking taylor expansion of (/ x y) in y
0.318 * [taylor]: Taking taylor expansion of x in y
0.318 * [backup-simplify]: Simplify x into x
0.318 * [taylor]: Taking taylor expansion of y in y
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (/ x 1) into x
0.318 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.318 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.319 * [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))))
0.319 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x
0.319 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.319 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.319 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.319 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.319 * [taylor]: Taking taylor expansion of 0.5 in x
0.319 * [backup-simplify]: Simplify 0.5 into 0.5
0.319 * [taylor]: Taking taylor expansion of (/ x y) in x
0.319 * [taylor]: Taking taylor expansion of x in x
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [taylor]: Taking taylor expansion of y in x
0.319 * [backup-simplify]: Simplify y into y
0.319 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.319 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.319 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.319 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.319 * [taylor]: Taking taylor expansion of 0.5 in x
0.319 * [backup-simplify]: Simplify 0.5 into 0.5
0.319 * [taylor]: Taking taylor expansion of (/ x y) in x
0.319 * [taylor]: Taking taylor expansion of x in x
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.320 * [taylor]: Taking taylor expansion of y in x
0.320 * [backup-simplify]: Simplify y into y
0.320 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.320 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.320 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.320 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.320 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.320 * [taylor]: Taking taylor expansion of 0.5 in x
0.320 * [backup-simplify]: Simplify 0.5 into 0.5
0.320 * [taylor]: Taking taylor expansion of (/ x y) in x
0.320 * [taylor]: Taking taylor expansion of x in x
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [taylor]: Taking taylor expansion of y in x
0.320 * [backup-simplify]: Simplify y into y
0.320 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.320 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.321 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.321 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0
0.321 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x
0.321 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.321 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.321 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.321 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.321 * [taylor]: Taking taylor expansion of 0.5 in x
0.321 * [backup-simplify]: Simplify 0.5 into 0.5
0.321 * [taylor]: Taking taylor expansion of (/ x y) in x
0.321 * [taylor]: Taking taylor expansion of x in x
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [taylor]: Taking taylor expansion of y in x
0.321 * [backup-simplify]: Simplify y into y
0.321 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.321 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.321 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.321 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.321 * [taylor]: Taking taylor expansion of 0.5 in x
0.321 * [backup-simplify]: Simplify 0.5 into 0.5
0.321 * [taylor]: Taking taylor expansion of (/ x y) in x
0.321 * [taylor]: Taking taylor expansion of x in x
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [taylor]: Taking taylor expansion of y in x
0.321 * [backup-simplify]: Simplify y into y
0.321 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.322 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.322 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.322 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.322 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.322 * [taylor]: Taking taylor expansion of 0.5 in x
0.322 * [backup-simplify]: Simplify 0.5 into 0.5
0.322 * [taylor]: Taking taylor expansion of (/ x y) in x
0.322 * [taylor]: Taking taylor expansion of x in x
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [taylor]: Taking taylor expansion of y in x
0.322 * [backup-simplify]: Simplify y into y
0.322 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.322 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.323 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0
0.323 * [taylor]: Taking taylor expansion of 1.0 in y
0.323 * [backup-simplify]: Simplify 1.0 into 1.0
0.323 * [backup-simplify]: Simplify 1.0 into 1.0
0.323 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.325 * [backup-simplify]: Simplify (+ 0) into 0
0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.335 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.336 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.336 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0
0.336 * [taylor]: Taking taylor expansion of 0 in y
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.339 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
0.339 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
0.340 * [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)))
0.340 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
0.342 * [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)))
0.343 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y
0.343 * [taylor]: Taking taylor expansion of 0.125 in y
0.343 * [backup-simplify]: Simplify 0.125 into 0.125
0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.343 * [taylor]: Taking taylor expansion of y in y
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.343 * [backup-simplify]: Simplify (* 1 1) into 1
0.343 * [backup-simplify]: Simplify (/ 1 1) into 1
0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
0.351 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.351 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.352 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.353 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.355 * [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
0.355 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.356 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
0.357 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.358 * [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
0.358 * [taylor]: Taking taylor expansion of 0 in y
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1.0 into 1.0
0.359 * [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))))
0.359 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0
0.359 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y
0.359 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.359 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.359 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.359 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.359 * [taylor]: Taking taylor expansion of 0.5 in y
0.359 * [backup-simplify]: Simplify 0.5 into 0.5
0.359 * [taylor]: Taking taylor expansion of (/ y x) in y
0.359 * [taylor]: Taking taylor expansion of y in y
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [taylor]: Taking taylor expansion of x in y
0.359 * [backup-simplify]: Simplify x into x
0.359 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.359 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.359 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.360 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.360 * [taylor]: Taking taylor expansion of 0.5 in y
0.360 * [backup-simplify]: Simplify 0.5 into 0.5
0.360 * [taylor]: Taking taylor expansion of (/ y x) in y
0.360 * [taylor]: Taking taylor expansion of y in y
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [taylor]: Taking taylor expansion of x in y
0.360 * [backup-simplify]: Simplify x into x
0.360 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.360 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.360 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.360 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.360 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.360 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.360 * [taylor]: Taking taylor expansion of 0.5 in y
0.360 * [backup-simplify]: Simplify 0.5 into 0.5
0.360 * [taylor]: Taking taylor expansion of (/ y x) in y
0.360 * [taylor]: Taking taylor expansion of y in y
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [taylor]: Taking taylor expansion of x in y
0.361 * [backup-simplify]: Simplify x into x
0.361 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.361 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.361 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0
0.361 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.361 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.361 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.361 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.361 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.361 * [taylor]: Taking taylor expansion of 0.5 in x
0.361 * [backup-simplify]: Simplify 0.5 into 0.5
0.361 * [taylor]: Taking taylor expansion of (/ y x) in x
0.361 * [taylor]: Taking taylor expansion of y in x
0.361 * [backup-simplify]: Simplify y into y
0.361 * [taylor]: Taking taylor expansion of x in x
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (/ y 1) into y
0.362 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.362 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.362 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.362 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.362 * [taylor]: Taking taylor expansion of 0.5 in x
0.362 * [backup-simplify]: Simplify 0.5 into 0.5
0.362 * [taylor]: Taking taylor expansion of (/ y x) in x
0.362 * [taylor]: Taking taylor expansion of y in x
0.362 * [backup-simplify]: Simplify y into y
0.362 * [taylor]: Taking taylor expansion of x in x
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (/ y 1) into y
0.362 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.362 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.362 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.362 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.362 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.363 * [taylor]: Taking taylor expansion of 0.5 in x
0.363 * [backup-simplify]: Simplify 0.5 into 0.5
0.363 * [taylor]: Taking taylor expansion of (/ y x) in x
0.363 * [taylor]: Taking taylor expansion of y in x
0.363 * [backup-simplify]: Simplify y into y
0.363 * [taylor]: Taking taylor expansion of x in x
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (/ y 1) into y
0.363 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.363 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.363 * [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))))
0.363 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.363 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.363 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.364 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.364 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.364 * [taylor]: Taking taylor expansion of 0.5 in x
0.364 * [backup-simplify]: Simplify 0.5 into 0.5
0.364 * [taylor]: Taking taylor expansion of (/ y x) in x
0.364 * [taylor]: Taking taylor expansion of y in x
0.364 * [backup-simplify]: Simplify y into y
0.364 * [taylor]: Taking taylor expansion of x in x
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 1 into 1
0.364 * [backup-simplify]: Simplify (/ y 1) into y
0.364 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.364 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.364 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.364 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.364 * [taylor]: Taking taylor expansion of 0.5 in x
0.364 * [backup-simplify]: Simplify 0.5 into 0.5
0.364 * [taylor]: Taking taylor expansion of (/ y x) in x
0.364 * [taylor]: Taking taylor expansion of y in x
0.364 * [backup-simplify]: Simplify y into y
0.364 * [taylor]: Taking taylor expansion of x in x
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [backup-simplify]: Simplify (/ y 1) into y
0.365 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.365 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.365 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.365 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.365 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.365 * [taylor]: Taking taylor expansion of 0.5 in x
0.365 * [backup-simplify]: Simplify 0.5 into 0.5
0.365 * [taylor]: Taking taylor expansion of (/ y x) in x
0.365 * [taylor]: Taking taylor expansion of y in x
0.365 * [backup-simplify]: Simplify y into y
0.365 * [taylor]: Taking taylor expansion of x in x
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (/ y 1) into y
0.366 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.366 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.366 * [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))))
0.366 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y
0.366 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.366 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.366 * [taylor]: Taking taylor expansion of 0.5 in y
0.366 * [backup-simplify]: Simplify 0.5 into 0.5
0.366 * [taylor]: Taking taylor expansion of (/ y x) in y
0.366 * [taylor]: Taking taylor expansion of y in y
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [taylor]: Taking taylor expansion of x in y
0.366 * [backup-simplify]: Simplify x into x
0.367 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.367 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.367 * [backup-simplify]: Simplify 1 into 1
0.368 * [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
0.368 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.368 * [taylor]: Taking taylor expansion of 0 in y
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (+ 0) into 0
0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [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
0.370 * [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
0.370 * [taylor]: Taking taylor expansion of 0 in y
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2)))
0.370 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2))
0.371 * [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
0.371 * [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
0.371 * [taylor]: Taking taylor expansion of 0 in y
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.372 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.372 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.374 * [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
0.374 * [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
0.374 * [taylor]: Taking taylor expansion of 0 in y
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [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)
0.375 * [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))))
0.375 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0
0.375 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y
0.375 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.375 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.375 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.375 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.375 * [taylor]: Taking taylor expansion of 0.5 in y
0.375 * [backup-simplify]: Simplify 0.5 into 0.5
0.375 * [taylor]: Taking taylor expansion of (/ y x) in y
0.375 * [taylor]: Taking taylor expansion of y in y
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [taylor]: Taking taylor expansion of x in y
0.375 * [backup-simplify]: Simplify x into x
0.375 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.375 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.375 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.375 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.375 * [taylor]: Taking taylor expansion of 0.5 in y
0.375 * [backup-simplify]: Simplify 0.5 into 0.5
0.375 * [taylor]: Taking taylor expansion of (/ y x) in y
0.375 * [taylor]: Taking taylor expansion of y in y
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [taylor]: Taking taylor expansion of x in y
0.375 * [backup-simplify]: Simplify x into x
0.375 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.375 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.376 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.376 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.376 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.376 * [taylor]: Taking taylor expansion of 0.5 in y
0.376 * [backup-simplify]: Simplify 0.5 into 0.5
0.376 * [taylor]: Taking taylor expansion of (/ y x) in y
0.376 * [taylor]: Taking taylor expansion of y in y
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 1 into 1
0.376 * [taylor]: Taking taylor expansion of x in y
0.376 * [backup-simplify]: Simplify x into x
0.376 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.376 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.376 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0
0.376 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.376 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.376 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.376 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.376 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.376 * [taylor]: Taking taylor expansion of 0.5 in x
0.376 * [backup-simplify]: Simplify 0.5 into 0.5
0.376 * [taylor]: Taking taylor expansion of (/ y x) in x
0.376 * [taylor]: Taking taylor expansion of y in x
0.376 * [backup-simplify]: Simplify y into y
0.376 * [taylor]: Taking taylor expansion of x in x
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 1 into 1
0.376 * [backup-simplify]: Simplify (/ y 1) into y
0.376 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.376 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.376 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.376 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.377 * [taylor]: Taking taylor expansion of 0.5 in x
0.377 * [backup-simplify]: Simplify 0.5 into 0.5
0.377 * [taylor]: Taking taylor expansion of (/ y x) in x
0.377 * [taylor]: Taking taylor expansion of y in x
0.377 * [backup-simplify]: Simplify y into y
0.377 * [taylor]: Taking taylor expansion of x in x
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (/ y 1) into y
0.377 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.377 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.377 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.377 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.377 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.377 * [taylor]: Taking taylor expansion of 0.5 in x
0.377 * [backup-simplify]: Simplify 0.5 into 0.5
0.377 * [taylor]: Taking taylor expansion of (/ y x) in x
0.377 * [taylor]: Taking taylor expansion of y in x
0.377 * [backup-simplify]: Simplify y into y
0.377 * [taylor]: Taking taylor expansion of x in x
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (/ y 1) into y
0.377 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.377 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.377 * [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))))
0.377 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.377 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.377 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.377 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.377 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.377 * [taylor]: Taking taylor expansion of 0.5 in x
0.377 * [backup-simplify]: Simplify 0.5 into 0.5
0.377 * [taylor]: Taking taylor expansion of (/ y x) in x
0.378 * [taylor]: Taking taylor expansion of y in x
0.378 * [backup-simplify]: Simplify y into y
0.378 * [taylor]: Taking taylor expansion of x in x
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (/ y 1) into y
0.378 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.378 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.378 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.378 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.378 * [taylor]: Taking taylor expansion of 0.5 in x
0.378 * [backup-simplify]: Simplify 0.5 into 0.5
0.378 * [taylor]: Taking taylor expansion of (/ y x) in x
0.378 * [taylor]: Taking taylor expansion of y in x
0.378 * [backup-simplify]: Simplify y into y
0.378 * [taylor]: Taking taylor expansion of x in x
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (/ y 1) into y
0.378 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.378 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.378 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.378 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.378 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.378 * [taylor]: Taking taylor expansion of 0.5 in x
0.378 * [backup-simplify]: Simplify 0.5 into 0.5
0.378 * [taylor]: Taking taylor expansion of (/ y x) in x
0.378 * [taylor]: Taking taylor expansion of y in x
0.378 * [backup-simplify]: Simplify y into y
0.378 * [taylor]: Taking taylor expansion of x in x
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (/ y 1) into y
0.378 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.378 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.379 * [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))))
0.379 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y
0.379 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.379 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.379 * [taylor]: Taking taylor expansion of 0.5 in y
0.379 * [backup-simplify]: Simplify 0.5 into 0.5
0.379 * [taylor]: Taking taylor expansion of (/ y x) in y
0.379 * [taylor]: Taking taylor expansion of y in y
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.379 * [taylor]: Taking taylor expansion of x in y
0.379 * [backup-simplify]: Simplify x into x
0.379 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.379 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.379 * [backup-simplify]: Simplify (/ 1 1) into 1
0.379 * [backup-simplify]: Simplify 1 into 1
0.379 * [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
0.380 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.380 * [taylor]: Taking taylor expansion of 0 in y
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (+ 0) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify 0 into 0
0.381 * [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
0.381 * [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
0.381 * [taylor]: Taking taylor expansion of 0 in y
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2)))
0.382 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2))
0.382 * [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
0.383 * [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
0.383 * [taylor]: Taking taylor expansion of 0 in y
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.383 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.384 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [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
0.385 * [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
0.385 * [taylor]: Taking taylor expansion of 0 in y
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [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)
0.386 * * * [progress]: simplifying candidates
0.387 * [simplify]: Simplifying:
  (expm1 (tan (/ x (* y 2.0))))
  (log1p (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))))
  (expm1 (sin (/ x (* y 2.0))))
  (log1p (sin (/ 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))))
  (expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (log1p (/ (tan (/ x (* y 2.0))) (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)
0.388 * * [simplify]: iteration 0: 83 enodes
0.405 * * [simplify]: iteration 1: 152 enodes
0.440 * * [simplify]: iteration 2: 421 enodes
0.612 * * [simplify]: iteration 3: 1539 enodes
1.418 * * [simplify]: iteration complete: 5005 enodes
1.418 * * [simplify]: Extracting #0: cost 55 inf + 0
1.419 * * [simplify]: Extracting #1: cost 217 inf + 3
1.426 * * [simplify]: Extracting #2: cost 1229 inf + 372
1.435 * * [simplify]: Extracting #3: cost 1602 inf + 21960
1.463 * * [simplify]: Extracting #4: cost 844 inf + 165831
1.532 * * [simplify]: Extracting #5: cost 205 inf + 348230
1.634 * * [simplify]: Extracting #6: cost 10 inf + 421500
1.705 * * [simplify]: Extracting #7: cost 0 inf + 424692
1.770 * [simplify]: Simplified to:
  (expm1 (tan (/ (/ x y) 2.0)))
  (log1p (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)))
  (expm1 (sin (/ (/ x y) 2.0)))
  (log1p (sin (/ (/ 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)))
  (expm1 (/ (tan (/ (/ x y) 2.0)) (sin (/ (/ x y) 2.0))))
  (log1p (/ (tan (/ (/ x y) 2.0)) (sin (/ (/ x y) 2.0))))
  (log (/ (tan (/ (/ x y) 2.0)) (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)) (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)))))
  (* (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 (sin (/ (/ x y) 2.0)))) (/ (cbrt (tan (/ (/ 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))) (/ (sqrt (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))) (cbrt (tan (/ (/ x y) 2.0))))
  (/ (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)))
  (/ (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
  (/ (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))
  (/ (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)))
  (* (cos (/ (/ x y) 2.0)) (sin (/ (/ x y) 2.0)))
  0
  (fma 0.04166666666666667 (* (* (/ x y) (/ x y)) (/ x y)) (* (/ x y) 0.5))
  (fma 0.04166666666666667 (* (* (/ x y) (/ x y)) (/ x y)) (* (/ x y) 0.5))
  0
  (* (/ x y) 0.5)
  (* (/ x y) 0.5)
  1.0
  (fma (* (/ x y) (/ x y)) 0.125 1)
  (fma (* (/ x y) (/ x y)) 0.125 1)
1.773 * * * [progress]: adding candidates to table
2.103 * * [progress]: iteration 2 / 4
2.103 * * * [progress]: picking best candidate
2.179 * * * * [pick]: Picked  #<alt (λ (x y) 1.0)>
2.179 * * * [progress]: localizing error
2.179 * * * [progress]: generating rewritten candidates
2.180 * * * [progress]: generating series expansions
2.180 * * * [progress]: simplifying candidates
2.180 * [simplify]: Simplifying:
  
2.180 * * [simplify]: iteration 0: 0 enodes
2.180 * * [simplify]: iteration complete: 0 enodes
2.180 * * [simplify]: Extracting #0: cost 0 inf + 0
2.180 * [simplify]: Simplified to:
  
2.180 * * * [progress]: adding candidates to table
2.181 * * [progress]: iteration 3 / 4
2.181 * * * [progress]: picking best candidate
2.253 * * * * [pick]: Picked  #<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)))))))>
2.253 * * * [progress]: localizing error
2.344 * * * [progress]: generating rewritten candidates
2.344 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
2.346 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1)
2.349 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
2.351 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
2.355 * * * [progress]: generating series expansions
2.355 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
2.355 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
2.355 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
2.355 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
2.356 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.356 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
2.356 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.356 * [taylor]: Taking taylor expansion of 0.5 in y
2.356 * [backup-simplify]: Simplify 0.5 into 0.5
2.356 * [taylor]: Taking taylor expansion of (/ x y) in y
2.356 * [taylor]: Taking taylor expansion of x in y
2.356 * [backup-simplify]: Simplify x into x
2.356 * [taylor]: Taking taylor expansion of y in y
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [backup-simplify]: Simplify (/ x 1) into x
2.356 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.356 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
2.356 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
2.356 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.356 * [taylor]: Taking taylor expansion of 0.5 in y
2.356 * [backup-simplify]: Simplify 0.5 into 0.5
2.356 * [taylor]: Taking taylor expansion of (/ x y) in y
2.356 * [taylor]: Taking taylor expansion of x in y
2.356 * [backup-simplify]: Simplify x into x
2.356 * [taylor]: Taking taylor expansion of y in y
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [backup-simplify]: Simplify (/ x 1) into x
2.356 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.356 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
2.356 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.356 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.356 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.356 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.356 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.356 * [taylor]: Taking taylor expansion of 0.5 in x
2.356 * [backup-simplify]: Simplify 0.5 into 0.5
2.356 * [taylor]: Taking taylor expansion of (/ x y) in x
2.356 * [taylor]: Taking taylor expansion of x in x
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [taylor]: Taking taylor expansion of y in x
2.357 * [backup-simplify]: Simplify y into y
2.357 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.357 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.357 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.357 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.357 * [taylor]: Taking taylor expansion of 0.5 in x
2.357 * [backup-simplify]: Simplify 0.5 into 0.5
2.357 * [taylor]: Taking taylor expansion of (/ x y) in x
2.357 * [taylor]: Taking taylor expansion of x in x
2.357 * [backup-simplify]: Simplify 0 into 0
2.357 * [backup-simplify]: Simplify 1 into 1
2.357 * [taylor]: Taking taylor expansion of y in x
2.357 * [backup-simplify]: Simplify y into y
2.357 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.357 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.357 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.357 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.357 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.357 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.357 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.357 * [taylor]: Taking taylor expansion of 0.5 in x
2.357 * [backup-simplify]: Simplify 0.5 into 0.5
2.357 * [taylor]: Taking taylor expansion of (/ x y) in x
2.357 * [taylor]: Taking taylor expansion of x in x
2.357 * [backup-simplify]: Simplify 0 into 0
2.357 * [backup-simplify]: Simplify 1 into 1
2.357 * [taylor]: Taking taylor expansion of y in x
2.357 * [backup-simplify]: Simplify y into y
2.357 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.357 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.357 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.357 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.357 * [taylor]: Taking taylor expansion of 0.5 in x
2.357 * [backup-simplify]: Simplify 0.5 into 0.5
2.357 * [taylor]: Taking taylor expansion of (/ x y) in x
2.357 * [taylor]: Taking taylor expansion of x in x
2.357 * [backup-simplify]: Simplify 0 into 0
2.357 * [backup-simplify]: Simplify 1 into 1
2.357 * [taylor]: Taking taylor expansion of y in x
2.357 * [backup-simplify]: Simplify y into y
2.358 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.358 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.358 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.358 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
2.358 * [taylor]: Taking taylor expansion of 0.5 in y
2.358 * [backup-simplify]: Simplify 0.5 into 0.5
2.358 * [taylor]: Taking taylor expansion of y in y
2.358 * [backup-simplify]: Simplify 0 into 0
2.358 * [backup-simplify]: Simplify 1 into 1
2.358 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
2.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
2.359 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
2.360 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.360 * [backup-simplify]: Simplify (+ 0) into 0
2.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
2.361 * [taylor]: Taking taylor expansion of 0 in y
2.361 * [backup-simplify]: Simplify 0 into 0
2.361 * [backup-simplify]: Simplify 0 into 0
2.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.362 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.364 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
2.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
2.366 * [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)))
2.370 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
2.370 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
2.370 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
2.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
2.370 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.370 * [taylor]: Taking taylor expansion of y in y
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 1 into 1
2.371 * [backup-simplify]: Simplify (* 1 1) into 1
2.372 * [backup-simplify]: Simplify (* 1 1) into 1
2.372 * [backup-simplify]: Simplify (/ 1 1) into 1
2.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.381 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.381 * [backup-simplify]: Simplify 0 into 0
2.381 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.382 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
2.382 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.382 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.382 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.382 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.382 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.382 * [taylor]: Taking taylor expansion of 0.5 in y
2.382 * [backup-simplify]: Simplify 0.5 into 0.5
2.383 * [taylor]: Taking taylor expansion of (/ y x) in y
2.383 * [taylor]: Taking taylor expansion of y in y
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify 1 into 1
2.383 * [taylor]: Taking taylor expansion of x in y
2.383 * [backup-simplify]: Simplify x into x
2.383 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.383 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.383 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.383 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.383 * [taylor]: Taking taylor expansion of 0.5 in y
2.383 * [backup-simplify]: Simplify 0.5 into 0.5
2.383 * [taylor]: Taking taylor expansion of (/ y x) in y
2.383 * [taylor]: Taking taylor expansion of y in y
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify 1 into 1
2.383 * [taylor]: Taking taylor expansion of x in y
2.383 * [backup-simplify]: Simplify x into x
2.383 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.383 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.383 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.383 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.383 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.384 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.384 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.384 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.384 * [taylor]: Taking taylor expansion of 0.5 in x
2.384 * [backup-simplify]: Simplify 0.5 into 0.5
2.384 * [taylor]: Taking taylor expansion of (/ y x) in x
2.384 * [taylor]: Taking taylor expansion of y in x
2.384 * [backup-simplify]: Simplify y into y
2.384 * [taylor]: Taking taylor expansion of x in x
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify 1 into 1
2.384 * [backup-simplify]: Simplify (/ y 1) into y
2.384 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.384 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.384 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.384 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.384 * [taylor]: Taking taylor expansion of 0.5 in x
2.384 * [backup-simplify]: Simplify 0.5 into 0.5
2.384 * [taylor]: Taking taylor expansion of (/ y x) in x
2.384 * [taylor]: Taking taylor expansion of y in x
2.384 * [backup-simplify]: Simplify y into y
2.384 * [taylor]: Taking taylor expansion of x in x
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify 1 into 1
2.384 * [backup-simplify]: Simplify (/ y 1) into y
2.384 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.385 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.385 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.385 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.385 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.385 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.385 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.385 * [taylor]: Taking taylor expansion of 0.5 in x
2.385 * [backup-simplify]: Simplify 0.5 into 0.5
2.385 * [taylor]: Taking taylor expansion of (/ y x) in x
2.385 * [taylor]: Taking taylor expansion of y in x
2.385 * [backup-simplify]: Simplify y into y
2.385 * [taylor]: Taking taylor expansion of x in x
2.385 * [backup-simplify]: Simplify 0 into 0
2.385 * [backup-simplify]: Simplify 1 into 1
2.385 * [backup-simplify]: Simplify (/ y 1) into y
2.385 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.385 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.385 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.385 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.385 * [taylor]: Taking taylor expansion of 0.5 in x
2.385 * [backup-simplify]: Simplify 0.5 into 0.5
2.385 * [taylor]: Taking taylor expansion of (/ y x) in x
2.386 * [taylor]: Taking taylor expansion of y in x
2.386 * [backup-simplify]: Simplify y into y
2.386 * [taylor]: Taking taylor expansion of x in x
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 1 into 1
2.386 * [backup-simplify]: Simplify (/ y 1) into y
2.386 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.386 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.386 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.386 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.386 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.386 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.386 * [taylor]: Taking taylor expansion of 0.5 in y
2.386 * [backup-simplify]: Simplify 0.5 into 0.5
2.386 * [taylor]: Taking taylor expansion of (/ y x) in y
2.386 * [taylor]: Taking taylor expansion of y in y
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 1 into 1
2.386 * [taylor]: Taking taylor expansion of x in y
2.386 * [backup-simplify]: Simplify x into x
2.386 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.386 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.386 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.386 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.386 * [taylor]: Taking taylor expansion of 0.5 in y
2.386 * [backup-simplify]: Simplify 0.5 into 0.5
2.386 * [taylor]: Taking taylor expansion of (/ y x) in y
2.386 * [taylor]: Taking taylor expansion of y in y
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 1 into 1
2.386 * [taylor]: Taking taylor expansion of x in y
2.386 * [backup-simplify]: Simplify x into x
2.387 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.387 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.387 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.387 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.387 * [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
2.387 * [taylor]: Taking taylor expansion of 0 in y
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.388 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.389 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.389 * [backup-simplify]: Simplify (+ 0) into 0
2.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.390 * [backup-simplify]: Simplify 0 into 0
2.391 * [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
2.391 * [taylor]: Taking taylor expansion of 0 in y
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.392 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.393 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.393 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.394 * [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)))
2.394 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.395 * [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
2.395 * [taylor]: Taking taylor expansion of 0 in y
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.396 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.398 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.398 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.398 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.399 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.400 * [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
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [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
2.401 * [taylor]: Taking taylor expansion of 0 in y
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify 0 into 0
2.402 * [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))))
2.402 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
2.402 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.402 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.402 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.402 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.402 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.402 * [taylor]: Taking taylor expansion of 0.5 in y
2.402 * [backup-simplify]: Simplify 0.5 into 0.5
2.402 * [taylor]: Taking taylor expansion of (/ y x) in y
2.402 * [taylor]: Taking taylor expansion of y in y
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify 1 into 1
2.403 * [taylor]: Taking taylor expansion of x in y
2.403 * [backup-simplify]: Simplify x into x
2.403 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.403 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.403 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.403 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.403 * [taylor]: Taking taylor expansion of 0.5 in y
2.403 * [backup-simplify]: Simplify 0.5 into 0.5
2.403 * [taylor]: Taking taylor expansion of (/ y x) in y
2.403 * [taylor]: Taking taylor expansion of y in y
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify 1 into 1
2.403 * [taylor]: Taking taylor expansion of x in y
2.403 * [backup-simplify]: Simplify x into x
2.403 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.403 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.403 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.403 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.404 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.404 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.404 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.404 * [taylor]: Taking taylor expansion of 0.5 in x
2.404 * [backup-simplify]: Simplify 0.5 into 0.5
2.404 * [taylor]: Taking taylor expansion of (/ y x) in x
2.404 * [taylor]: Taking taylor expansion of y in x
2.404 * [backup-simplify]: Simplify y into y
2.404 * [taylor]: Taking taylor expansion of x in x
2.404 * [backup-simplify]: Simplify 0 into 0
2.404 * [backup-simplify]: Simplify 1 into 1
2.404 * [backup-simplify]: Simplify (/ y 1) into y
2.404 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.404 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.404 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.404 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.404 * [taylor]: Taking taylor expansion of 0.5 in x
2.404 * [backup-simplify]: Simplify 0.5 into 0.5
2.404 * [taylor]: Taking taylor expansion of (/ y x) in x
2.404 * [taylor]: Taking taylor expansion of y in x
2.404 * [backup-simplify]: Simplify y into y
2.404 * [taylor]: Taking taylor expansion of x in x
2.404 * [backup-simplify]: Simplify 0 into 0
2.404 * [backup-simplify]: Simplify 1 into 1
2.404 * [backup-simplify]: Simplify (/ y 1) into y
2.404 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.404 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.405 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.405 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.405 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.405 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.405 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.405 * [taylor]: Taking taylor expansion of 0.5 in x
2.405 * [backup-simplify]: Simplify 0.5 into 0.5
2.405 * [taylor]: Taking taylor expansion of (/ y x) in x
2.405 * [taylor]: Taking taylor expansion of y in x
2.405 * [backup-simplify]: Simplify y into y
2.405 * [taylor]: Taking taylor expansion of x in x
2.405 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify 1 into 1
2.405 * [backup-simplify]: Simplify (/ y 1) into y
2.405 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.405 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.405 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.405 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.405 * [taylor]: Taking taylor expansion of 0.5 in x
2.405 * [backup-simplify]: Simplify 0.5 into 0.5
2.405 * [taylor]: Taking taylor expansion of (/ y x) in x
2.405 * [taylor]: Taking taylor expansion of y in x
2.405 * [backup-simplify]: Simplify y into y
2.405 * [taylor]: Taking taylor expansion of x in x
2.405 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify 1 into 1
2.405 * [backup-simplify]: Simplify (/ y 1) into y
2.405 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.406 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.406 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.406 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.406 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.406 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.406 * [taylor]: Taking taylor expansion of 0.5 in y
2.406 * [backup-simplify]: Simplify 0.5 into 0.5
2.406 * [taylor]: Taking taylor expansion of (/ y x) in y
2.406 * [taylor]: Taking taylor expansion of y in y
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 1 into 1
2.406 * [taylor]: Taking taylor expansion of x in y
2.406 * [backup-simplify]: Simplify x into x
2.406 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.406 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.406 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.406 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.406 * [taylor]: Taking taylor expansion of 0.5 in y
2.406 * [backup-simplify]: Simplify 0.5 into 0.5
2.406 * [taylor]: Taking taylor expansion of (/ y x) in y
2.406 * [taylor]: Taking taylor expansion of y in y
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 1 into 1
2.406 * [taylor]: Taking taylor expansion of x in y
2.406 * [backup-simplify]: Simplify x into x
2.406 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.406 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.406 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.406 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.407 * [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
2.407 * [taylor]: Taking taylor expansion of 0 in y
2.407 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.407 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.408 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.408 * [backup-simplify]: Simplify (+ 0) into 0
2.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [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
2.409 * [taylor]: Taking taylor expansion of 0 in y
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.410 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.411 * [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)))
2.411 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.412 * [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
2.412 * [taylor]: Taking taylor expansion of 0 in y
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.413 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.414 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.414 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.414 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.415 * [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
2.415 * [backup-simplify]: Simplify 0 into 0
2.416 * [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
2.416 * [taylor]: Taking taylor expansion of 0 in y
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [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))))
2.417 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1)
2.417 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
2.417 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
2.417 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
2.417 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.417 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
2.417 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.417 * [taylor]: Taking taylor expansion of 0.5 in y
2.417 * [backup-simplify]: Simplify 0.5 into 0.5
2.417 * [taylor]: Taking taylor expansion of (/ x y) in y
2.417 * [taylor]: Taking taylor expansion of x in y
2.417 * [backup-simplify]: Simplify x into x
2.417 * [taylor]: Taking taylor expansion of y in y
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify 1 into 1
2.417 * [backup-simplify]: Simplify (/ x 1) into x
2.417 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.417 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
2.417 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
2.417 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.417 * [taylor]: Taking taylor expansion of 0.5 in y
2.417 * [backup-simplify]: Simplify 0.5 into 0.5
2.417 * [taylor]: Taking taylor expansion of (/ x y) in y
2.417 * [taylor]: Taking taylor expansion of x in y
2.418 * [backup-simplify]: Simplify x into x
2.418 * [taylor]: Taking taylor expansion of y in y
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 1 into 1
2.418 * [backup-simplify]: Simplify (/ x 1) into x
2.418 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.418 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
2.418 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.418 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.418 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.418 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.418 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.418 * [taylor]: Taking taylor expansion of 0.5 in x
2.418 * [backup-simplify]: Simplify 0.5 into 0.5
2.418 * [taylor]: Taking taylor expansion of (/ x y) in x
2.418 * [taylor]: Taking taylor expansion of x in x
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 1 into 1
2.418 * [taylor]: Taking taylor expansion of y in x
2.418 * [backup-simplify]: Simplify y into y
2.418 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.419 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.419 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.419 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.419 * [taylor]: Taking taylor expansion of 0.5 in x
2.419 * [backup-simplify]: Simplify 0.5 into 0.5
2.419 * [taylor]: Taking taylor expansion of (/ x y) in x
2.419 * [taylor]: Taking taylor expansion of x in x
2.419 * [backup-simplify]: Simplify 0 into 0
2.419 * [backup-simplify]: Simplify 1 into 1
2.419 * [taylor]: Taking taylor expansion of y in x
2.419 * [backup-simplify]: Simplify y into y
2.419 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.419 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.419 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.419 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.419 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.419 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.419 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.419 * [taylor]: Taking taylor expansion of 0.5 in x
2.419 * [backup-simplify]: Simplify 0.5 into 0.5
2.419 * [taylor]: Taking taylor expansion of (/ x y) in x
2.419 * [taylor]: Taking taylor expansion of x in x
2.419 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [taylor]: Taking taylor expansion of y in x
2.420 * [backup-simplify]: Simplify y into y
2.420 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.420 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.420 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.420 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.420 * [taylor]: Taking taylor expansion of 0.5 in x
2.420 * [backup-simplify]: Simplify 0.5 into 0.5
2.420 * [taylor]: Taking taylor expansion of (/ x y) in x
2.420 * [taylor]: Taking taylor expansion of x in x
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [taylor]: Taking taylor expansion of y in x
2.420 * [backup-simplify]: Simplify y into y
2.420 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.420 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.420 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.420 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
2.420 * [taylor]: Taking taylor expansion of 0.5 in y
2.420 * [backup-simplify]: Simplify 0.5 into 0.5
2.421 * [taylor]: Taking taylor expansion of y in y
2.421 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify 1 into 1
2.421 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
2.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
2.422 * [backup-simplify]: Simplify 0 into 0
2.422 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
2.423 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
2.423 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.424 * [backup-simplify]: Simplify (+ 0) into 0
2.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
2.425 * [taylor]: Taking taylor expansion of 0 in y
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.426 * [backup-simplify]: Simplify 0 into 0
2.426 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.428 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
2.428 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
2.429 * [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)))
2.429 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
2.429 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
2.429 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
2.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
2.429 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.429 * [taylor]: Taking taylor expansion of y in y
2.429 * [backup-simplify]: Simplify 0 into 0
2.429 * [backup-simplify]: Simplify 1 into 1
2.429 * [backup-simplify]: Simplify (* 1 1) into 1
2.429 * [backup-simplify]: Simplify (* 1 1) into 1
2.429 * [backup-simplify]: Simplify (/ 1 1) into 1
2.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.434 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
2.435 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.435 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.435 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.435 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.435 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.436 * [taylor]: Taking taylor expansion of 0.5 in y
2.436 * [backup-simplify]: Simplify 0.5 into 0.5
2.436 * [taylor]: Taking taylor expansion of (/ y x) in y
2.436 * [taylor]: Taking taylor expansion of y in y
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify 1 into 1
2.436 * [taylor]: Taking taylor expansion of x in y
2.436 * [backup-simplify]: Simplify x into x
2.436 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.436 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.436 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.436 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.436 * [taylor]: Taking taylor expansion of 0.5 in y
2.436 * [backup-simplify]: Simplify 0.5 into 0.5
2.436 * [taylor]: Taking taylor expansion of (/ y x) in y
2.436 * [taylor]: Taking taylor expansion of y in y
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify 1 into 1
2.436 * [taylor]: Taking taylor expansion of x in y
2.436 * [backup-simplify]: Simplify x into x
2.436 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.436 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.436 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.436 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.436 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.436 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.436 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.436 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.436 * [taylor]: Taking taylor expansion of 0.5 in x
2.436 * [backup-simplify]: Simplify 0.5 into 0.5
2.436 * [taylor]: Taking taylor expansion of (/ y x) in x
2.436 * [taylor]: Taking taylor expansion of y in x
2.436 * [backup-simplify]: Simplify y into y
2.436 * [taylor]: Taking taylor expansion of x in x
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify 1 into 1
2.436 * [backup-simplify]: Simplify (/ y 1) into y
2.436 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.437 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.437 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.437 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.437 * [taylor]: Taking taylor expansion of 0.5 in x
2.437 * [backup-simplify]: Simplify 0.5 into 0.5
2.437 * [taylor]: Taking taylor expansion of (/ y x) in x
2.437 * [taylor]: Taking taylor expansion of y in x
2.437 * [backup-simplify]: Simplify y into y
2.437 * [taylor]: Taking taylor expansion of x in x
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify 1 into 1
2.437 * [backup-simplify]: Simplify (/ y 1) into y
2.437 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.437 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.437 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.437 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.437 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.437 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.437 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.437 * [taylor]: Taking taylor expansion of 0.5 in x
2.437 * [backup-simplify]: Simplify 0.5 into 0.5
2.437 * [taylor]: Taking taylor expansion of (/ y x) in x
2.437 * [taylor]: Taking taylor expansion of y in x
2.437 * [backup-simplify]: Simplify y into y
2.437 * [taylor]: Taking taylor expansion of x in x
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify 1 into 1
2.437 * [backup-simplify]: Simplify (/ y 1) into y
2.437 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.437 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.437 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.437 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.437 * [taylor]: Taking taylor expansion of 0.5 in x
2.437 * [backup-simplify]: Simplify 0.5 into 0.5
2.437 * [taylor]: Taking taylor expansion of (/ y x) in x
2.437 * [taylor]: Taking taylor expansion of y in x
2.437 * [backup-simplify]: Simplify y into y
2.437 * [taylor]: Taking taylor expansion of x in x
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify 1 into 1
2.437 * [backup-simplify]: Simplify (/ y 1) into y
2.438 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.438 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.438 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.438 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.438 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.438 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.438 * [taylor]: Taking taylor expansion of 0.5 in y
2.438 * [backup-simplify]: Simplify 0.5 into 0.5
2.438 * [taylor]: Taking taylor expansion of (/ y x) in y
2.438 * [taylor]: Taking taylor expansion of y in y
2.438 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify 1 into 1
2.438 * [taylor]: Taking taylor expansion of x in y
2.438 * [backup-simplify]: Simplify x into x
2.438 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.438 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.438 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.438 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.438 * [taylor]: Taking taylor expansion of 0.5 in y
2.438 * [backup-simplify]: Simplify 0.5 into 0.5
2.438 * [taylor]: Taking taylor expansion of (/ y x) in y
2.438 * [taylor]: Taking taylor expansion of y in y
2.438 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify 1 into 1
2.438 * [taylor]: Taking taylor expansion of x in y
2.438 * [backup-simplify]: Simplify x into x
2.438 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.438 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.438 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.438 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.439 * [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
2.439 * [taylor]: Taking taylor expansion of 0 in y
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.439 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.440 * [backup-simplify]: Simplify (+ 0) into 0
2.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [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
2.441 * [taylor]: Taking taylor expansion of 0 in y
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.442 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.442 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.443 * [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)))
2.443 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.444 * [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
2.444 * [taylor]: Taking taylor expansion of 0 in y
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.445 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.446 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.447 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.447 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.448 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.450 * [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
2.450 * [backup-simplify]: Simplify 0 into 0
2.451 * [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
2.451 * [taylor]: Taking taylor expansion of 0 in y
2.451 * [backup-simplify]: Simplify 0 into 0
2.451 * [backup-simplify]: Simplify 0 into 0
2.451 * [backup-simplify]: Simplify 0 into 0
2.452 * [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))))
2.452 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
2.452 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.452 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.452 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.452 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.452 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.452 * [taylor]: Taking taylor expansion of 0.5 in y
2.452 * [backup-simplify]: Simplify 0.5 into 0.5
2.453 * [taylor]: Taking taylor expansion of (/ y x) in y
2.453 * [taylor]: Taking taylor expansion of y in y
2.453 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify 1 into 1
2.453 * [taylor]: Taking taylor expansion of x in y
2.453 * [backup-simplify]: Simplify x into x
2.453 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.453 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.453 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.453 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.453 * [taylor]: Taking taylor expansion of 0.5 in y
2.453 * [backup-simplify]: Simplify 0.5 into 0.5
2.453 * [taylor]: Taking taylor expansion of (/ y x) in y
2.453 * [taylor]: Taking taylor expansion of y in y
2.453 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify 1 into 1
2.453 * [taylor]: Taking taylor expansion of x in y
2.453 * [backup-simplify]: Simplify x into x
2.453 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.453 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.454 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.454 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.454 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.454 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.454 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.454 * [taylor]: Taking taylor expansion of 0.5 in x
2.454 * [backup-simplify]: Simplify 0.5 into 0.5
2.454 * [taylor]: Taking taylor expansion of (/ y x) in x
2.454 * [taylor]: Taking taylor expansion of y in x
2.454 * [backup-simplify]: Simplify y into y
2.454 * [taylor]: Taking taylor expansion of x in x
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 1 into 1
2.454 * [backup-simplify]: Simplify (/ y 1) into y
2.454 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.454 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.454 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.454 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.454 * [taylor]: Taking taylor expansion of 0.5 in x
2.454 * [backup-simplify]: Simplify 0.5 into 0.5
2.454 * [taylor]: Taking taylor expansion of (/ y x) in x
2.454 * [taylor]: Taking taylor expansion of y in x
2.454 * [backup-simplify]: Simplify y into y
2.454 * [taylor]: Taking taylor expansion of x in x
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 1 into 1
2.455 * [backup-simplify]: Simplify (/ y 1) into y
2.455 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.455 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.455 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.455 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.455 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.455 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.455 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.455 * [taylor]: Taking taylor expansion of 0.5 in x
2.455 * [backup-simplify]: Simplify 0.5 into 0.5
2.455 * [taylor]: Taking taylor expansion of (/ y x) in x
2.455 * [taylor]: Taking taylor expansion of y in x
2.455 * [backup-simplify]: Simplify y into y
2.455 * [taylor]: Taking taylor expansion of x in x
2.455 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.456 * [backup-simplify]: Simplify (/ y 1) into y
2.456 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.456 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.456 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.456 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.456 * [taylor]: Taking taylor expansion of 0.5 in x
2.456 * [backup-simplify]: Simplify 0.5 into 0.5
2.456 * [taylor]: Taking taylor expansion of (/ y x) in x
2.456 * [taylor]: Taking taylor expansion of y in x
2.456 * [backup-simplify]: Simplify y into y
2.456 * [taylor]: Taking taylor expansion of x in x
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.456 * [backup-simplify]: Simplify (/ y 1) into y
2.456 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.456 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.457 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.457 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.457 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.457 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.457 * [taylor]: Taking taylor expansion of 0.5 in y
2.457 * [backup-simplify]: Simplify 0.5 into 0.5
2.457 * [taylor]: Taking taylor expansion of (/ y x) in y
2.457 * [taylor]: Taking taylor expansion of y in y
2.457 * [backup-simplify]: Simplify 0 into 0
2.457 * [backup-simplify]: Simplify 1 into 1
2.457 * [taylor]: Taking taylor expansion of x in y
2.457 * [backup-simplify]: Simplify x into x
2.457 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.457 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.457 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.457 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.457 * [taylor]: Taking taylor expansion of 0.5 in y
2.457 * [backup-simplify]: Simplify 0.5 into 0.5
2.457 * [taylor]: Taking taylor expansion of (/ y x) in y
2.457 * [taylor]: Taking taylor expansion of y in y
2.457 * [backup-simplify]: Simplify 0 into 0
2.457 * [backup-simplify]: Simplify 1 into 1
2.457 * [taylor]: Taking taylor expansion of x in y
2.457 * [backup-simplify]: Simplify x into x
2.458 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.458 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.458 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.458 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.459 * [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
2.459 * [taylor]: Taking taylor expansion of 0 in y
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.460 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.460 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.461 * [backup-simplify]: Simplify (+ 0) into 0
2.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.462 * [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
2.462 * [taylor]: Taking taylor expansion of 0 in y
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify 0 into 0
2.462 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.462 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.463 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.463 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.464 * [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)))
2.464 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.464 * [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
2.464 * [taylor]: Taking taylor expansion of 0 in y
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.465 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.465 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.466 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.466 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.467 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.467 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.468 * [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
2.468 * [backup-simplify]: Simplify 0 into 0
2.469 * [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
2.469 * [taylor]: Taking taylor expansion of 0 in y
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [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))))
2.469 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
2.470 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
2.470 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
2.470 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
2.470 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.470 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
2.470 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.470 * [taylor]: Taking taylor expansion of 0.5 in y
2.470 * [backup-simplify]: Simplify 0.5 into 0.5
2.470 * [taylor]: Taking taylor expansion of (/ x y) in y
2.470 * [taylor]: Taking taylor expansion of x in y
2.470 * [backup-simplify]: Simplify x into x
2.470 * [taylor]: Taking taylor expansion of y in y
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 1 into 1
2.470 * [backup-simplify]: Simplify (/ x 1) into x
2.470 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.470 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
2.470 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
2.470 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.470 * [taylor]: Taking taylor expansion of 0.5 in y
2.470 * [backup-simplify]: Simplify 0.5 into 0.5
2.470 * [taylor]: Taking taylor expansion of (/ x y) in y
2.470 * [taylor]: Taking taylor expansion of x in y
2.470 * [backup-simplify]: Simplify x into x
2.470 * [taylor]: Taking taylor expansion of y in y
2.470 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify 1 into 1
2.471 * [backup-simplify]: Simplify (/ x 1) into x
2.471 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.471 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
2.471 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.471 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.471 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.471 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.471 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.471 * [taylor]: Taking taylor expansion of 0.5 in x
2.471 * [backup-simplify]: Simplify 0.5 into 0.5
2.471 * [taylor]: Taking taylor expansion of (/ x y) in x
2.471 * [taylor]: Taking taylor expansion of x in x
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify 1 into 1
2.471 * [taylor]: Taking taylor expansion of y in x
2.471 * [backup-simplify]: Simplify y into y
2.471 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.471 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.471 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.471 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.471 * [taylor]: Taking taylor expansion of 0.5 in x
2.471 * [backup-simplify]: Simplify 0.5 into 0.5
2.472 * [taylor]: Taking taylor expansion of (/ x y) in x
2.472 * [taylor]: Taking taylor expansion of x in x
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 1 into 1
2.472 * [taylor]: Taking taylor expansion of y in x
2.472 * [backup-simplify]: Simplify y into y
2.472 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.472 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.472 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.472 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.472 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.472 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.472 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.472 * [taylor]: Taking taylor expansion of 0.5 in x
2.472 * [backup-simplify]: Simplify 0.5 into 0.5
2.472 * [taylor]: Taking taylor expansion of (/ x y) in x
2.472 * [taylor]: Taking taylor expansion of x in x
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 1 into 1
2.472 * [taylor]: Taking taylor expansion of y in x
2.472 * [backup-simplify]: Simplify y into y
2.473 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.473 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.473 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.473 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.473 * [taylor]: Taking taylor expansion of 0.5 in x
2.473 * [backup-simplify]: Simplify 0.5 into 0.5
2.473 * [taylor]: Taking taylor expansion of (/ x y) in x
2.473 * [taylor]: Taking taylor expansion of x in x
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.473 * [taylor]: Taking taylor expansion of y in x
2.473 * [backup-simplify]: Simplify y into y
2.473 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.473 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.473 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.473 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
2.473 * [taylor]: Taking taylor expansion of 0.5 in y
2.473 * [backup-simplify]: Simplify 0.5 into 0.5
2.473 * [taylor]: Taking taylor expansion of y in y
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.474 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
2.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
2.476 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
2.476 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.477 * [backup-simplify]: Simplify (+ 0) into 0
2.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
2.478 * [taylor]: Taking taylor expansion of 0 in y
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.480 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
2.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
2.482 * [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)))
2.482 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
2.482 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
2.482 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
2.482 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.482 * [taylor]: Taking taylor expansion of y in y
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 1 into 1
2.482 * [backup-simplify]: Simplify (* 1 1) into 1
2.483 * [backup-simplify]: Simplify (* 1 1) into 1
2.483 * [backup-simplify]: Simplify (/ 1 1) into 1
2.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
2.492 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.492 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.493 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.493 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.493 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.493 * [taylor]: Taking taylor expansion of 0.5 in y
2.493 * [backup-simplify]: Simplify 0.5 into 0.5
2.493 * [taylor]: Taking taylor expansion of (/ y x) in y
2.493 * [taylor]: Taking taylor expansion of y in y
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 1 into 1
2.493 * [taylor]: Taking taylor expansion of x in y
2.493 * [backup-simplify]: Simplify x into x
2.493 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.493 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.493 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.493 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.493 * [taylor]: Taking taylor expansion of 0.5 in y
2.493 * [backup-simplify]: Simplify 0.5 into 0.5
2.493 * [taylor]: Taking taylor expansion of (/ y x) in y
2.493 * [taylor]: Taking taylor expansion of y in y
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 1 into 1
2.493 * [taylor]: Taking taylor expansion of x in y
2.493 * [backup-simplify]: Simplify x into x
2.493 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.493 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.494 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.494 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.494 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.494 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.494 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.494 * [taylor]: Taking taylor expansion of 0.5 in x
2.494 * [backup-simplify]: Simplify 0.5 into 0.5
2.494 * [taylor]: Taking taylor expansion of (/ y x) in x
2.494 * [taylor]: Taking taylor expansion of y in x
2.494 * [backup-simplify]: Simplify y into y
2.494 * [taylor]: Taking taylor expansion of x in x
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 1 into 1
2.494 * [backup-simplify]: Simplify (/ y 1) into y
2.494 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.494 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.494 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.494 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.494 * [taylor]: Taking taylor expansion of 0.5 in x
2.494 * [backup-simplify]: Simplify 0.5 into 0.5
2.494 * [taylor]: Taking taylor expansion of (/ y x) in x
2.494 * [taylor]: Taking taylor expansion of y in x
2.494 * [backup-simplify]: Simplify y into y
2.495 * [taylor]: Taking taylor expansion of x in x
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 1 into 1
2.495 * [backup-simplify]: Simplify (/ y 1) into y
2.495 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.495 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.495 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.495 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.495 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.495 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.495 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.495 * [taylor]: Taking taylor expansion of 0.5 in x
2.495 * [backup-simplify]: Simplify 0.5 into 0.5
2.495 * [taylor]: Taking taylor expansion of (/ y x) in x
2.495 * [taylor]: Taking taylor expansion of y in x
2.495 * [backup-simplify]: Simplify y into y
2.495 * [taylor]: Taking taylor expansion of x in x
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 1 into 1
2.495 * [backup-simplify]: Simplify (/ y 1) into y
2.495 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.496 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.496 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.496 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.496 * [taylor]: Taking taylor expansion of 0.5 in x
2.496 * [backup-simplify]: Simplify 0.5 into 0.5
2.496 * [taylor]: Taking taylor expansion of (/ y x) in x
2.496 * [taylor]: Taking taylor expansion of y in x
2.496 * [backup-simplify]: Simplify y into y
2.496 * [taylor]: Taking taylor expansion of x in x
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify 1 into 1
2.496 * [backup-simplify]: Simplify (/ y 1) into y
2.496 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.496 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.496 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.496 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.496 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.496 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.496 * [taylor]: Taking taylor expansion of 0.5 in y
2.496 * [backup-simplify]: Simplify 0.5 into 0.5
2.496 * [taylor]: Taking taylor expansion of (/ y x) in y
2.497 * [taylor]: Taking taylor expansion of y in y
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [taylor]: Taking taylor expansion of x in y
2.497 * [backup-simplify]: Simplify x into x
2.497 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.497 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.497 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.497 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.497 * [taylor]: Taking taylor expansion of 0.5 in y
2.497 * [backup-simplify]: Simplify 0.5 into 0.5
2.497 * [taylor]: Taking taylor expansion of (/ y x) in y
2.497 * [taylor]: Taking taylor expansion of y in y
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [taylor]: Taking taylor expansion of x in y
2.497 * [backup-simplify]: Simplify x into x
2.497 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.497 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.497 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.498 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.498 * [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
2.498 * [taylor]: Taking taylor expansion of 0 in y
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.499 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.500 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.500 * [backup-simplify]: Simplify (+ 0) into 0
2.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.501 * [backup-simplify]: Simplify 0 into 0
2.502 * [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
2.502 * [taylor]: Taking taylor expansion of 0 in y
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.506 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.507 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.507 * [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)))
2.507 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.508 * [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
2.508 * [taylor]: Taking taylor expansion of 0 in y
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.510 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.511 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.511 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.512 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.512 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.514 * [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
2.514 * [backup-simplify]: Simplify 0 into 0
2.515 * [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
2.515 * [taylor]: Taking taylor expansion of 0 in y
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [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))))
2.516 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
2.516 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.516 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.516 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.516 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.516 * [taylor]: Taking taylor expansion of 0.5 in y
2.516 * [backup-simplify]: Simplify 0.5 into 0.5
2.516 * [taylor]: Taking taylor expansion of (/ y x) in y
2.516 * [taylor]: Taking taylor expansion of y in y
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 1 into 1
2.516 * [taylor]: Taking taylor expansion of x in y
2.516 * [backup-simplify]: Simplify x into x
2.516 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.516 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.516 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.516 * [taylor]: Taking taylor expansion of 0.5 in y
2.516 * [backup-simplify]: Simplify 0.5 into 0.5
2.516 * [taylor]: Taking taylor expansion of (/ y x) in y
2.516 * [taylor]: Taking taylor expansion of y in y
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 1 into 1
2.516 * [taylor]: Taking taylor expansion of x in y
2.516 * [backup-simplify]: Simplify x into x
2.516 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.517 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.517 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.517 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.517 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.517 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.517 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.517 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.517 * [taylor]: Taking taylor expansion of 0.5 in x
2.517 * [backup-simplify]: Simplify 0.5 into 0.5
2.517 * [taylor]: Taking taylor expansion of (/ y x) in x
2.517 * [taylor]: Taking taylor expansion of y in x
2.517 * [backup-simplify]: Simplify y into y
2.517 * [taylor]: Taking taylor expansion of x in x
2.517 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify 1 into 1
2.517 * [backup-simplify]: Simplify (/ y 1) into y
2.517 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.517 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.517 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.517 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.517 * [taylor]: Taking taylor expansion of 0.5 in x
2.518 * [backup-simplify]: Simplify 0.5 into 0.5
2.518 * [taylor]: Taking taylor expansion of (/ y x) in x
2.518 * [taylor]: Taking taylor expansion of y in x
2.518 * [backup-simplify]: Simplify y into y
2.518 * [taylor]: Taking taylor expansion of x in x
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 1 into 1
2.518 * [backup-simplify]: Simplify (/ y 1) into y
2.518 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.518 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.518 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.518 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.518 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.518 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.518 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.518 * [taylor]: Taking taylor expansion of 0.5 in x
2.518 * [backup-simplify]: Simplify 0.5 into 0.5
2.518 * [taylor]: Taking taylor expansion of (/ y x) in x
2.518 * [taylor]: Taking taylor expansion of y in x
2.518 * [backup-simplify]: Simplify y into y
2.518 * [taylor]: Taking taylor expansion of x in x
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 1 into 1
2.518 * [backup-simplify]: Simplify (/ y 1) into y
2.519 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.519 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.519 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.519 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.519 * [taylor]: Taking taylor expansion of 0.5 in x
2.519 * [backup-simplify]: Simplify 0.5 into 0.5
2.519 * [taylor]: Taking taylor expansion of (/ y x) in x
2.519 * [taylor]: Taking taylor expansion of y in x
2.519 * [backup-simplify]: Simplify y into y
2.519 * [taylor]: Taking taylor expansion of x in x
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 1 into 1
2.519 * [backup-simplify]: Simplify (/ y 1) into y
2.519 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.519 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.519 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.519 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.519 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.519 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.519 * [taylor]: Taking taylor expansion of 0.5 in y
2.520 * [backup-simplify]: Simplify 0.5 into 0.5
2.520 * [taylor]: Taking taylor expansion of (/ y x) in y
2.520 * [taylor]: Taking taylor expansion of y in y
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 1 into 1
2.520 * [taylor]: Taking taylor expansion of x in y
2.520 * [backup-simplify]: Simplify x into x
2.520 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.520 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.520 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.520 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.520 * [taylor]: Taking taylor expansion of 0.5 in y
2.520 * [backup-simplify]: Simplify 0.5 into 0.5
2.520 * [taylor]: Taking taylor expansion of (/ y x) in y
2.520 * [taylor]: Taking taylor expansion of y in y
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 1 into 1
2.520 * [taylor]: Taking taylor expansion of x in y
2.520 * [backup-simplify]: Simplify x into x
2.520 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.520 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.520 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.520 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.521 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.521 * [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
2.521 * [taylor]: Taking taylor expansion of 0 in y
2.521 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify 0 into 0
2.521 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.522 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.523 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.523 * [backup-simplify]: Simplify (+ 0) into 0
2.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [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
2.524 * [taylor]: Taking taylor expansion of 0 in y
2.525 * [backup-simplify]: Simplify 0 into 0
2.525 * [backup-simplify]: Simplify 0 into 0
2.525 * [backup-simplify]: Simplify 0 into 0
2.525 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.526 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.528 * [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)))
2.528 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.529 * [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
2.529 * [taylor]: Taking taylor expansion of 0 in y
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.531 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.532 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.532 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.532 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.533 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.535 * [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
2.535 * [backup-simplify]: Simplify 0 into 0
2.535 * [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
2.535 * [taylor]: Taking taylor expansion of 0 in y
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [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))))
2.536 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
2.536 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y)))
2.536 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0
2.536 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
2.536 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.537 * [taylor]: Taking taylor expansion of 0.5 in y
2.537 * [backup-simplify]: Simplify 0.5 into 0.5
2.537 * [taylor]: Taking taylor expansion of (/ x y) in y
2.537 * [taylor]: Taking taylor expansion of x in y
2.537 * [backup-simplify]: Simplify x into x
2.537 * [taylor]: Taking taylor expansion of y in y
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [backup-simplify]: Simplify 1 into 1
2.537 * [backup-simplify]: Simplify (/ x 1) into x
2.537 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.537 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
2.537 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.537 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.537 * [taylor]: Taking taylor expansion of 0.5 in x
2.537 * [backup-simplify]: Simplify 0.5 into 0.5
2.537 * [taylor]: Taking taylor expansion of (/ x y) in x
2.537 * [taylor]: Taking taylor expansion of x in x
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [backup-simplify]: Simplify 1 into 1
2.537 * [taylor]: Taking taylor expansion of y in x
2.537 * [backup-simplify]: Simplify y into y
2.537 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.537 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.537 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.537 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.537 * [taylor]: Taking taylor expansion of 0.5 in x
2.537 * [backup-simplify]: Simplify 0.5 into 0.5
2.537 * [taylor]: Taking taylor expansion of (/ x y) in x
2.537 * [taylor]: Taking taylor expansion of x in x
2.537 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify 1 into 1
2.538 * [taylor]: Taking taylor expansion of y in x
2.538 * [backup-simplify]: Simplify y into y
2.538 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.538 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.538 * [taylor]: Taking taylor expansion of 0 in y
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.538 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y
2.538 * [taylor]: Taking taylor expansion of 0.5 in y
2.538 * [backup-simplify]: Simplify 0.5 into 0.5
2.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.538 * [taylor]: Taking taylor expansion of y in y
2.538 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify 1 into 1
2.539 * [backup-simplify]: Simplify (/ 1 1) into 1
2.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.540 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
2.540 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
2.541 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.541 * [taylor]: Taking taylor expansion of 0 in y
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.542 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x)))
2.542 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
2.542 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.542 * [taylor]: Taking taylor expansion of 0.5 in y
2.542 * [backup-simplify]: Simplify 0.5 into 0.5
2.542 * [taylor]: Taking taylor expansion of (/ y x) in y
2.542 * [taylor]: Taking taylor expansion of y in y
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [taylor]: Taking taylor expansion of x in y
2.542 * [backup-simplify]: Simplify x into x
2.542 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.542 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.542 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.542 * [taylor]: Taking taylor expansion of 0.5 in x
2.542 * [backup-simplify]: Simplify 0.5 into 0.5
2.542 * [taylor]: Taking taylor expansion of (/ y x) in x
2.543 * [taylor]: Taking taylor expansion of y in x
2.543 * [backup-simplify]: Simplify y into y
2.543 * [taylor]: Taking taylor expansion of x in x
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 1 into 1
2.543 * [backup-simplify]: Simplify (/ y 1) into y
2.543 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.543 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.543 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.543 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.543 * [taylor]: Taking taylor expansion of 0.5 in x
2.543 * [backup-simplify]: Simplify 0.5 into 0.5
2.543 * [taylor]: Taking taylor expansion of (/ y x) in x
2.543 * [taylor]: Taking taylor expansion of y in x
2.543 * [backup-simplify]: Simplify y into y
2.543 * [taylor]: Taking taylor expansion of x in x
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 1 into 1
2.543 * [backup-simplify]: Simplify (/ y 1) into y
2.543 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.543 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.543 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.543 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.543 * [taylor]: Taking taylor expansion of 0.5 in y
2.543 * [backup-simplify]: Simplify 0.5 into 0.5
2.543 * [taylor]: Taking taylor expansion of (/ y x) in y
2.543 * [taylor]: Taking taylor expansion of y in y
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 1 into 1
2.543 * [taylor]: Taking taylor expansion of x in y
2.543 * [backup-simplify]: Simplify x into x
2.543 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.543 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [taylor]: Taking taylor expansion of 0 in y
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.544 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.544 * [taylor]: Taking taylor expansion of 0 in y
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify 0 into 0
2.544 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.544 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.544 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [taylor]: Taking taylor expansion of 0 in y
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y))
2.545 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x)))
2.545 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
2.545 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.545 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.545 * [taylor]: Taking taylor expansion of 0.5 in y
2.545 * [backup-simplify]: Simplify 0.5 into 0.5
2.545 * [taylor]: Taking taylor expansion of (/ y x) in y
2.545 * [taylor]: Taking taylor expansion of y in y
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [taylor]: Taking taylor expansion of x in y
2.545 * [backup-simplify]: Simplify x into x
2.545 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.545 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.545 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.545 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.545 * [taylor]: Taking taylor expansion of 0.5 in x
2.545 * [backup-simplify]: Simplify 0.5 into 0.5
2.545 * [taylor]: Taking taylor expansion of (/ y x) in x
2.545 * [taylor]: Taking taylor expansion of y in x
2.545 * [backup-simplify]: Simplify y into y
2.545 * [taylor]: Taking taylor expansion of x in x
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [backup-simplify]: Simplify (/ y 1) into y
2.545 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.545 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.545 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.545 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.545 * [taylor]: Taking taylor expansion of 0.5 in x
2.545 * [backup-simplify]: Simplify 0.5 into 0.5
2.545 * [taylor]: Taking taylor expansion of (/ y x) in x
2.545 * [taylor]: Taking taylor expansion of y in x
2.546 * [backup-simplify]: Simplify y into y
2.546 * [taylor]: Taking taylor expansion of x in x
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 1 into 1
2.546 * [backup-simplify]: Simplify (/ y 1) into y
2.546 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.546 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.546 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.546 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.546 * [taylor]: Taking taylor expansion of 0.5 in y
2.546 * [backup-simplify]: Simplify 0.5 into 0.5
2.546 * [taylor]: Taking taylor expansion of (/ y x) in y
2.546 * [taylor]: Taking taylor expansion of y in y
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 1 into 1
2.546 * [taylor]: Taking taylor expansion of x in y
2.546 * [backup-simplify]: Simplify x into x
2.546 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.546 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [taylor]: Taking taylor expansion of 0 in y
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.546 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.546 * [taylor]: Taking taylor expansion of 0 in y
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.547 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.547 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [taylor]: Taking taylor expansion of 0 in y
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y))
2.547 * * * [progress]: simplifying candidates
2.548 * [simplify]: Simplifying:
  (expm1 (tan (/ x (* y 2.0))))
  (log1p (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))))
  (expm1 (tan (/ x (* y 2.0))))
  (log1p (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))))
  (expm1 (tan (/ x (* y 2.0))))
  (log1p (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))))
  (expm1 (sin (/ x (* y 2.0))))
  (log1p (sin (/ 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))
2.549 * * [simplify]: iteration 0: 37 enodes
2.557 * * [simplify]: iteration 1: 62 enodes
2.570 * * [simplify]: iteration 2: 137 enodes
2.606 * * [simplify]: iteration 3: 444 enodes
2.998 * * [simplify]: iteration 4: 1580 enodes
4.183 * * [simplify]: iteration complete: 5000 enodes
4.183 * * [simplify]: Extracting #0: cost 21 inf + 0
4.183 * * [simplify]: Extracting #1: cost 114 inf + 1
4.190 * * [simplify]: Extracting #2: cost 802 inf + 890
4.196 * * [simplify]: Extracting #3: cost 1253 inf + 14070
4.215 * * [simplify]: Extracting #4: cost 1044 inf + 135880
4.271 * * [simplify]: Extracting #5: cost 303 inf + 571297
4.350 * * [simplify]: Extracting #6: cost 7 inf + 760153
4.455 * * [simplify]: Extracting #7: cost 0 inf + 753614
4.559 * * [simplify]: Extracting #8: cost 0 inf + 753301
4.657 * [simplify]: Simplified to:
  (expm1 (tan (/ x (* 2.0 y))))
  (log1p (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))))
  (expm1 (tan (/ x (* 2.0 y))))
  (log1p (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))))
  (expm1 (tan (/ x (* 2.0 y))))
  (log1p (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))))
  (expm1 (sin (/ x (* 2.0 y))))
  (log1p (sin (/ 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) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  (* (/ x y) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  0
  (* (/ x y) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  (* (/ x y) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  0
  (* (/ x y) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  (* (/ x y) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  0
  (/ (* 0.5 x) y)
  (/ (* 0.5 x) y)
4.666 * * * [progress]: adding candidates to table
4.976 * * [progress]: iteration 4 / 4
4.976 * * * [progress]: picking best candidate
5.053 * * * * [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)))))))>
5.053 * * * [progress]: localizing error
5.135 * * * [progress]: generating rewritten candidates
5.135 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
5.140 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1)
5.144 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
5.149 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
5.156 * * * [progress]: generating series expansions
5.156 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
5.156 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
5.156 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
5.156 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
5.156 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.156 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
5.156 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
5.156 * [taylor]: Taking taylor expansion of 0.5 in y
5.156 * [backup-simplify]: Simplify 0.5 into 0.5
5.156 * [taylor]: Taking taylor expansion of (/ x y) in y
5.156 * [taylor]: Taking taylor expansion of x in y
5.156 * [backup-simplify]: Simplify x into x
5.156 * [taylor]: Taking taylor expansion of y in y
5.156 * [backup-simplify]: Simplify 0 into 0
5.156 * [backup-simplify]: Simplify 1 into 1
5.156 * [backup-simplify]: Simplify (/ x 1) into x
5.156 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
5.157 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
5.157 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
5.157 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
5.157 * [taylor]: Taking taylor expansion of 0.5 in y
5.157 * [backup-simplify]: Simplify 0.5 into 0.5
5.157 * [taylor]: Taking taylor expansion of (/ x y) in y
5.157 * [taylor]: Taking taylor expansion of x in y
5.157 * [backup-simplify]: Simplify x into x
5.157 * [taylor]: Taking taylor expansion of y in y
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [backup-simplify]: Simplify 1 into 1
5.157 * [backup-simplify]: Simplify (/ x 1) into x
5.157 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
5.157 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
5.157 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.157 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
5.157 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.157 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
5.157 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.157 * [taylor]: Taking taylor expansion of 0.5 in x
5.157 * [backup-simplify]: Simplify 0.5 into 0.5
5.157 * [taylor]: Taking taylor expansion of (/ x y) in x
5.157 * [taylor]: Taking taylor expansion of x in x
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [backup-simplify]: Simplify 1 into 1
5.157 * [taylor]: Taking taylor expansion of y in x
5.157 * [backup-simplify]: Simplify y into y
5.157 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.157 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.157 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
5.157 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.157 * [taylor]: Taking taylor expansion of 0.5 in x
5.157 * [backup-simplify]: Simplify 0.5 into 0.5
5.157 * [taylor]: Taking taylor expansion of (/ x y) in x
5.157 * [taylor]: Taking taylor expansion of x in x
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [backup-simplify]: Simplify 1 into 1
5.157 * [taylor]: Taking taylor expansion of y in x
5.157 * [backup-simplify]: Simplify y into y
5.157 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.158 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
5.158 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
5.158 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
5.158 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.158 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
5.158 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.158 * [taylor]: Taking taylor expansion of 0.5 in x
5.158 * [backup-simplify]: Simplify 0.5 into 0.5
5.158 * [taylor]: Taking taylor expansion of (/ x y) in x
5.158 * [taylor]: Taking taylor expansion of x in x
5.158 * [backup-simplify]: Simplify 0 into 0
5.158 * [backup-simplify]: Simplify 1 into 1
5.158 * [taylor]: Taking taylor expansion of y in x
5.158 * [backup-simplify]: Simplify y into y
5.158 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.158 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.158 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
5.158 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.158 * [taylor]: Taking taylor expansion of 0.5 in x
5.158 * [backup-simplify]: Simplify 0.5 into 0.5
5.158 * [taylor]: Taking taylor expansion of (/ x y) in x
5.158 * [taylor]: Taking taylor expansion of x in x
5.158 * [backup-simplify]: Simplify 0 into 0
5.158 * [backup-simplify]: Simplify 1 into 1
5.158 * [taylor]: Taking taylor expansion of y in x
5.158 * [backup-simplify]: Simplify y into y
5.158 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.158 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
5.158 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
5.159 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
5.159 * [taylor]: Taking taylor expansion of 0.5 in y
5.159 * [backup-simplify]: Simplify 0.5 into 0.5
5.159 * [taylor]: Taking taylor expansion of y in y
5.159 * [backup-simplify]: Simplify 0 into 0
5.159 * [backup-simplify]: Simplify 1 into 1
5.159 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
5.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
5.160 * [backup-simplify]: Simplify 0 into 0
5.160 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
5.160 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
5.161 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.161 * [backup-simplify]: Simplify (+ 0) into 0
5.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
5.162 * [taylor]: Taking taylor expansion of 0 in y
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.162 * [backup-simplify]: Simplify 0 into 0
5.163 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.163 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
5.164 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
5.164 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
5.165 * [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)))
5.165 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
5.165 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
5.165 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
5.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
5.165 * [taylor]: Taking taylor expansion of (pow y 3) in y
5.165 * [taylor]: Taking taylor expansion of y in y
5.165 * [backup-simplify]: Simplify 0 into 0
5.165 * [backup-simplify]: Simplify 1 into 1
5.165 * [backup-simplify]: Simplify (* 1 1) into 1
5.165 * [backup-simplify]: Simplify (* 1 1) into 1
5.166 * [backup-simplify]: Simplify (/ 1 1) into 1
5.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.171 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 0 into 0
5.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.172 * [backup-simplify]: Simplify 0 into 0
5.172 * [backup-simplify]: Simplify 0 into 0
5.172 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
5.172 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
5.172 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
5.172 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.172 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.172 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.172 * [taylor]: Taking taylor expansion of 0.5 in y
5.172 * [backup-simplify]: Simplify 0.5 into 0.5
5.172 * [taylor]: Taking taylor expansion of (/ y x) in y
5.172 * [taylor]: Taking taylor expansion of y in y
5.172 * [backup-simplify]: Simplify 0 into 0
5.172 * [backup-simplify]: Simplify 1 into 1
5.172 * [taylor]: Taking taylor expansion of x in y
5.172 * [backup-simplify]: Simplify x into x
5.172 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.172 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.172 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.172 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.172 * [taylor]: Taking taylor expansion of 0.5 in y
5.172 * [backup-simplify]: Simplify 0.5 into 0.5
5.172 * [taylor]: Taking taylor expansion of (/ y x) in y
5.172 * [taylor]: Taking taylor expansion of y in y
5.172 * [backup-simplify]: Simplify 0 into 0
5.172 * [backup-simplify]: Simplify 1 into 1
5.172 * [taylor]: Taking taylor expansion of x in y
5.172 * [backup-simplify]: Simplify x into x
5.172 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.173 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.173 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.173 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.173 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.173 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.173 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.173 * [taylor]: Taking taylor expansion of 0.5 in x
5.173 * [backup-simplify]: Simplify 0.5 into 0.5
5.173 * [taylor]: Taking taylor expansion of (/ y x) in x
5.173 * [taylor]: Taking taylor expansion of y in x
5.173 * [backup-simplify]: Simplify y into y
5.173 * [taylor]: Taking taylor expansion of x in x
5.173 * [backup-simplify]: Simplify 0 into 0
5.173 * [backup-simplify]: Simplify 1 into 1
5.173 * [backup-simplify]: Simplify (/ y 1) into y
5.173 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.173 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.173 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.173 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.173 * [taylor]: Taking taylor expansion of 0.5 in x
5.173 * [backup-simplify]: Simplify 0.5 into 0.5
5.173 * [taylor]: Taking taylor expansion of (/ y x) in x
5.173 * [taylor]: Taking taylor expansion of y in x
5.173 * [backup-simplify]: Simplify y into y
5.173 * [taylor]: Taking taylor expansion of x in x
5.173 * [backup-simplify]: Simplify 0 into 0
5.173 * [backup-simplify]: Simplify 1 into 1
5.173 * [backup-simplify]: Simplify (/ y 1) into y
5.173 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.173 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.174 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.174 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.174 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.174 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.174 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.174 * [taylor]: Taking taylor expansion of 0.5 in x
5.174 * [backup-simplify]: Simplify 0.5 into 0.5
5.174 * [taylor]: Taking taylor expansion of (/ y x) in x
5.174 * [taylor]: Taking taylor expansion of y in x
5.174 * [backup-simplify]: Simplify y into y
5.174 * [taylor]: Taking taylor expansion of x in x
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify 1 into 1
5.174 * [backup-simplify]: Simplify (/ y 1) into y
5.174 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.174 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.174 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.174 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.174 * [taylor]: Taking taylor expansion of 0.5 in x
5.174 * [backup-simplify]: Simplify 0.5 into 0.5
5.174 * [taylor]: Taking taylor expansion of (/ y x) in x
5.174 * [taylor]: Taking taylor expansion of y in x
5.174 * [backup-simplify]: Simplify y into y
5.174 * [taylor]: Taking taylor expansion of x in x
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify 1 into 1
5.174 * [backup-simplify]: Simplify (/ y 1) into y
5.174 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.174 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.174 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.174 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
5.174 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.174 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.174 * [taylor]: Taking taylor expansion of 0.5 in y
5.174 * [backup-simplify]: Simplify 0.5 into 0.5
5.174 * [taylor]: Taking taylor expansion of (/ y x) in y
5.174 * [taylor]: Taking taylor expansion of y in y
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify 1 into 1
5.175 * [taylor]: Taking taylor expansion of x in y
5.175 * [backup-simplify]: Simplify x into x
5.175 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.175 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.175 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.175 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.175 * [taylor]: Taking taylor expansion of 0.5 in y
5.175 * [backup-simplify]: Simplify 0.5 into 0.5
5.175 * [taylor]: Taking taylor expansion of (/ y x) in y
5.175 * [taylor]: Taking taylor expansion of y in y
5.175 * [backup-simplify]: Simplify 0 into 0
5.175 * [backup-simplify]: Simplify 1 into 1
5.175 * [taylor]: Taking taylor expansion of x in y
5.175 * [backup-simplify]: Simplify x into x
5.175 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.175 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.175 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.175 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
5.175 * [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
5.175 * [taylor]: Taking taylor expansion of 0 in y
5.175 * [backup-simplify]: Simplify 0 into 0
5.175 * [backup-simplify]: Simplify 0 into 0
5.175 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.177 * [backup-simplify]: Simplify (+ 0) into 0
5.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
5.177 * [backup-simplify]: Simplify 0 into 0
5.178 * [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
5.178 * [taylor]: Taking taylor expansion of 0 in y
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.178 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
5.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
5.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
5.184 * [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)))
5.185 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
5.185 * [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
5.185 * [taylor]: Taking taylor expansion of 0 in y
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.186 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
5.187 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.187 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.187 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.188 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.189 * [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
5.189 * [backup-simplify]: Simplify 0 into 0
5.189 * [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
5.189 * [taylor]: Taking taylor expansion of 0 in y
5.190 * [backup-simplify]: Simplify 0 into 0
5.190 * [backup-simplify]: Simplify 0 into 0
5.190 * [backup-simplify]: Simplify 0 into 0
5.190 * [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))))
5.190 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
5.190 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
5.190 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
5.190 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.190 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.190 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.190 * [taylor]: Taking taylor expansion of 0.5 in y
5.190 * [backup-simplify]: Simplify 0.5 into 0.5
5.190 * [taylor]: Taking taylor expansion of (/ y x) in y
5.190 * [taylor]: Taking taylor expansion of y in y
5.190 * [backup-simplify]: Simplify 0 into 0
5.190 * [backup-simplify]: Simplify 1 into 1
5.190 * [taylor]: Taking taylor expansion of x in y
5.190 * [backup-simplify]: Simplify x into x
5.190 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.190 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.190 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.190 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.190 * [taylor]: Taking taylor expansion of 0.5 in y
5.190 * [backup-simplify]: Simplify 0.5 into 0.5
5.190 * [taylor]: Taking taylor expansion of (/ y x) in y
5.190 * [taylor]: Taking taylor expansion of y in y
5.190 * [backup-simplify]: Simplify 0 into 0
5.191 * [backup-simplify]: Simplify 1 into 1
5.191 * [taylor]: Taking taylor expansion of x in y
5.191 * [backup-simplify]: Simplify x into x
5.191 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.191 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.191 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.191 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.191 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.191 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.191 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.191 * [taylor]: Taking taylor expansion of 0.5 in x
5.191 * [backup-simplify]: Simplify 0.5 into 0.5
5.191 * [taylor]: Taking taylor expansion of (/ y x) in x
5.191 * [taylor]: Taking taylor expansion of y in x
5.191 * [backup-simplify]: Simplify y into y
5.191 * [taylor]: Taking taylor expansion of x in x
5.191 * [backup-simplify]: Simplify 0 into 0
5.191 * [backup-simplify]: Simplify 1 into 1
5.191 * [backup-simplify]: Simplify (/ y 1) into y
5.191 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.191 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.191 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.191 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.191 * [taylor]: Taking taylor expansion of 0.5 in x
5.191 * [backup-simplify]: Simplify 0.5 into 0.5
5.191 * [taylor]: Taking taylor expansion of (/ y x) in x
5.191 * [taylor]: Taking taylor expansion of y in x
5.191 * [backup-simplify]: Simplify y into y
5.191 * [taylor]: Taking taylor expansion of x in x
5.191 * [backup-simplify]: Simplify 0 into 0
5.191 * [backup-simplify]: Simplify 1 into 1
5.191 * [backup-simplify]: Simplify (/ y 1) into y
5.191 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.191 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.192 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.192 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.192 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.192 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.192 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.192 * [taylor]: Taking taylor expansion of 0.5 in x
5.192 * [backup-simplify]: Simplify 0.5 into 0.5
5.192 * [taylor]: Taking taylor expansion of (/ y x) in x
5.192 * [taylor]: Taking taylor expansion of y in x
5.192 * [backup-simplify]: Simplify y into y
5.192 * [taylor]: Taking taylor expansion of x in x
5.192 * [backup-simplify]: Simplify 0 into 0
5.192 * [backup-simplify]: Simplify 1 into 1
5.192 * [backup-simplify]: Simplify (/ y 1) into y
5.192 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.192 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.192 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.192 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.192 * [taylor]: Taking taylor expansion of 0.5 in x
5.192 * [backup-simplify]: Simplify 0.5 into 0.5
5.192 * [taylor]: Taking taylor expansion of (/ y x) in x
5.192 * [taylor]: Taking taylor expansion of y in x
5.192 * [backup-simplify]: Simplify y into y
5.192 * [taylor]: Taking taylor expansion of x in x
5.192 * [backup-simplify]: Simplify 0 into 0
5.192 * [backup-simplify]: Simplify 1 into 1
5.193 * [backup-simplify]: Simplify (/ y 1) into y
5.193 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.193 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.193 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.193 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
5.193 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.193 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.193 * [taylor]: Taking taylor expansion of 0.5 in y
5.193 * [backup-simplify]: Simplify 0.5 into 0.5
5.193 * [taylor]: Taking taylor expansion of (/ y x) in y
5.193 * [taylor]: Taking taylor expansion of y in y
5.193 * [backup-simplify]: Simplify 0 into 0
5.193 * [backup-simplify]: Simplify 1 into 1
5.193 * [taylor]: Taking taylor expansion of x in y
5.193 * [backup-simplify]: Simplify x into x
5.193 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.194 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.194 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.194 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.194 * [taylor]: Taking taylor expansion of 0.5 in y
5.194 * [backup-simplify]: Simplify 0.5 into 0.5
5.194 * [taylor]: Taking taylor expansion of (/ y x) in y
5.194 * [taylor]: Taking taylor expansion of y in y
5.194 * [backup-simplify]: Simplify 0 into 0
5.194 * [backup-simplify]: Simplify 1 into 1
5.194 * [taylor]: Taking taylor expansion of x in y
5.194 * [backup-simplify]: Simplify x into x
5.194 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.194 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.194 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.194 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
5.195 * [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))))))) into 0
5.195 * [taylor]: Taking taylor expansion of 0 in y
5.195 * [backup-simplify]: Simplify 0 into 0
5.195 * [backup-simplify]: Simplify 0 into 0
5.195 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.197 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.197 * [backup-simplify]: Simplify (+ 0) into 0
5.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
5.198 * [backup-simplify]: Simplify 0 into 0
5.199 * [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
5.199 * [taylor]: Taking taylor expansion of 0 in y
5.199 * [backup-simplify]: Simplify 0 into 0
5.199 * [backup-simplify]: Simplify 0 into 0
5.199 * [backup-simplify]: Simplify 0 into 0
5.199 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.200 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
5.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
5.202 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
5.203 * [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)))
5.203 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
5.204 * [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
5.204 * [taylor]: Taking taylor expansion of 0 in y
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.206 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
5.207 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.207 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.209 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.210 * [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
5.210 * [backup-simplify]: Simplify 0 into 0
5.211 * [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
5.211 * [taylor]: Taking taylor expansion of 0 in y
5.211 * [backup-simplify]: Simplify 0 into 0
5.212 * [backup-simplify]: Simplify 0 into 0
5.212 * [backup-simplify]: Simplify 0 into 0
5.212 * [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))))
5.212 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1)
5.212 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
5.213 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
5.213 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
5.213 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.213 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
5.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
5.213 * [taylor]: Taking taylor expansion of 0.5 in y
5.213 * [backup-simplify]: Simplify 0.5 into 0.5
5.213 * [taylor]: Taking taylor expansion of (/ x y) in y
5.213 * [taylor]: Taking taylor expansion of x in y
5.213 * [backup-simplify]: Simplify x into x
5.213 * [taylor]: Taking taylor expansion of y in y
5.213 * [backup-simplify]: Simplify 0 into 0
5.213 * [backup-simplify]: Simplify 1 into 1
5.213 * [backup-simplify]: Simplify (/ x 1) into x
5.213 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
5.213 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
5.213 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
5.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
5.213 * [taylor]: Taking taylor expansion of 0.5 in y
5.213 * [backup-simplify]: Simplify 0.5 into 0.5
5.213 * [taylor]: Taking taylor expansion of (/ x y) in y
5.213 * [taylor]: Taking taylor expansion of x in y
5.213 * [backup-simplify]: Simplify x into x
5.213 * [taylor]: Taking taylor expansion of y in y
5.214 * [backup-simplify]: Simplify 0 into 0
5.214 * [backup-simplify]: Simplify 1 into 1
5.214 * [backup-simplify]: Simplify (/ x 1) into x
5.214 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
5.214 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
5.214 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.214 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
5.214 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.214 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
5.214 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.214 * [taylor]: Taking taylor expansion of 0.5 in x
5.214 * [backup-simplify]: Simplify 0.5 into 0.5
5.214 * [taylor]: Taking taylor expansion of (/ x y) in x
5.214 * [taylor]: Taking taylor expansion of x in x
5.214 * [backup-simplify]: Simplify 0 into 0
5.214 * [backup-simplify]: Simplify 1 into 1
5.214 * [taylor]: Taking taylor expansion of y in x
5.214 * [backup-simplify]: Simplify y into y
5.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.215 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.215 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
5.215 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.215 * [taylor]: Taking taylor expansion of 0.5 in x
5.215 * [backup-simplify]: Simplify 0.5 into 0.5
5.215 * [taylor]: Taking taylor expansion of (/ x y) in x
5.215 * [taylor]: Taking taylor expansion of x in x
5.215 * [backup-simplify]: Simplify 0 into 0
5.215 * [backup-simplify]: Simplify 1 into 1
5.215 * [taylor]: Taking taylor expansion of y in x
5.215 * [backup-simplify]: Simplify y into y
5.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.215 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
5.215 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
5.215 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
5.216 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.216 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
5.216 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.216 * [taylor]: Taking taylor expansion of 0.5 in x
5.216 * [backup-simplify]: Simplify 0.5 into 0.5
5.216 * [taylor]: Taking taylor expansion of (/ x y) in x
5.216 * [taylor]: Taking taylor expansion of x in x
5.216 * [backup-simplify]: Simplify 0 into 0
5.216 * [backup-simplify]: Simplify 1 into 1
5.216 * [taylor]: Taking taylor expansion of y in x
5.216 * [backup-simplify]: Simplify y into y
5.216 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.216 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.216 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
5.216 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.216 * [taylor]: Taking taylor expansion of 0.5 in x
5.216 * [backup-simplify]: Simplify 0.5 into 0.5
5.216 * [taylor]: Taking taylor expansion of (/ x y) in x
5.216 * [taylor]: Taking taylor expansion of x in x
5.216 * [backup-simplify]: Simplify 0 into 0
5.216 * [backup-simplify]: Simplify 1 into 1
5.216 * [taylor]: Taking taylor expansion of y in x
5.216 * [backup-simplify]: Simplify y into y
5.216 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.216 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
5.217 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
5.217 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
5.217 * [taylor]: Taking taylor expansion of 0.5 in y
5.217 * [backup-simplify]: Simplify 0.5 into 0.5
5.217 * [taylor]: Taking taylor expansion of y in y
5.217 * [backup-simplify]: Simplify 0 into 0
5.217 * [backup-simplify]: Simplify 1 into 1
5.218 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
5.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
5.219 * [backup-simplify]: Simplify 0 into 0
5.219 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
5.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
5.220 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.221 * [backup-simplify]: Simplify (+ 0) into 0
5.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
5.221 * [taylor]: Taking taylor expansion of 0 in y
5.222 * [backup-simplify]: Simplify 0 into 0
5.222 * [backup-simplify]: Simplify 0 into 0
5.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.223 * [backup-simplify]: Simplify 0 into 0
5.223 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
5.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
5.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
5.226 * [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)))
5.226 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
5.226 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
5.226 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
5.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
5.227 * [taylor]: Taking taylor expansion of (pow y 3) in y
5.227 * [taylor]: Taking taylor expansion of y in y
5.227 * [backup-simplify]: Simplify 0 into 0
5.227 * [backup-simplify]: Simplify 1 into 1
5.227 * [backup-simplify]: Simplify (* 1 1) into 1
5.227 * [backup-simplify]: Simplify (* 1 1) into 1
5.228 * [backup-simplify]: Simplify (/ 1 1) into 1
5.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.238 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.238 * [backup-simplify]: Simplify 0 into 0
5.239 * [backup-simplify]: Simplify 0 into 0
5.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.240 * [backup-simplify]: Simplify 0 into 0
5.240 * [backup-simplify]: Simplify 0 into 0
5.240 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
5.240 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
5.240 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
5.240 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.240 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.240 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.240 * [taylor]: Taking taylor expansion of 0.5 in y
5.240 * [backup-simplify]: Simplify 0.5 into 0.5
5.240 * [taylor]: Taking taylor expansion of (/ y x) in y
5.240 * [taylor]: Taking taylor expansion of y in y
5.240 * [backup-simplify]: Simplify 0 into 0
5.240 * [backup-simplify]: Simplify 1 into 1
5.240 * [taylor]: Taking taylor expansion of x in y
5.240 * [backup-simplify]: Simplify x into x
5.240 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.240 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.241 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.241 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.241 * [taylor]: Taking taylor expansion of 0.5 in y
5.241 * [backup-simplify]: Simplify 0.5 into 0.5
5.241 * [taylor]: Taking taylor expansion of (/ y x) in y
5.241 * [taylor]: Taking taylor expansion of y in y
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [backup-simplify]: Simplify 1 into 1
5.241 * [taylor]: Taking taylor expansion of x in y
5.241 * [backup-simplify]: Simplify x into x
5.241 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.241 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.241 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.241 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.241 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.241 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.241 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.241 * [taylor]: Taking taylor expansion of 0.5 in x
5.241 * [backup-simplify]: Simplify 0.5 into 0.5
5.241 * [taylor]: Taking taylor expansion of (/ y x) in x
5.242 * [taylor]: Taking taylor expansion of y in x
5.242 * [backup-simplify]: Simplify y into y
5.242 * [taylor]: Taking taylor expansion of x in x
5.242 * [backup-simplify]: Simplify 0 into 0
5.242 * [backup-simplify]: Simplify 1 into 1
5.242 * [backup-simplify]: Simplify (/ y 1) into y
5.242 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.242 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.242 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.242 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.242 * [taylor]: Taking taylor expansion of 0.5 in x
5.242 * [backup-simplify]: Simplify 0.5 into 0.5
5.242 * [taylor]: Taking taylor expansion of (/ y x) in x
5.242 * [taylor]: Taking taylor expansion of y in x
5.242 * [backup-simplify]: Simplify y into y
5.242 * [taylor]: Taking taylor expansion of x in x
5.242 * [backup-simplify]: Simplify 0 into 0
5.242 * [backup-simplify]: Simplify 1 into 1
5.242 * [backup-simplify]: Simplify (/ y 1) into y
5.242 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.243 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.243 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.243 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.243 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.243 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.243 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.243 * [taylor]: Taking taylor expansion of 0.5 in x
5.243 * [backup-simplify]: Simplify 0.5 into 0.5
5.243 * [taylor]: Taking taylor expansion of (/ y x) in x
5.243 * [taylor]: Taking taylor expansion of y in x
5.243 * [backup-simplify]: Simplify y into y
5.243 * [taylor]: Taking taylor expansion of x in x
5.243 * [backup-simplify]: Simplify 0 into 0
5.243 * [backup-simplify]: Simplify 1 into 1
5.243 * [backup-simplify]: Simplify (/ y 1) into y
5.243 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.243 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.243 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.243 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.244 * [taylor]: Taking taylor expansion of 0.5 in x
5.244 * [backup-simplify]: Simplify 0.5 into 0.5
5.244 * [taylor]: Taking taylor expansion of (/ y x) in x
5.244 * [taylor]: Taking taylor expansion of y in x
5.244 * [backup-simplify]: Simplify y into y
5.244 * [taylor]: Taking taylor expansion of x in x
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 1 into 1
5.244 * [backup-simplify]: Simplify (/ y 1) into y
5.244 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.244 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.244 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.244 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
5.244 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.244 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.244 * [taylor]: Taking taylor expansion of 0.5 in y
5.244 * [backup-simplify]: Simplify 0.5 into 0.5
5.244 * [taylor]: Taking taylor expansion of (/ y x) in y
5.244 * [taylor]: Taking taylor expansion of y in y
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 1 into 1
5.244 * [taylor]: Taking taylor expansion of x in y
5.245 * [backup-simplify]: Simplify x into x
5.245 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.245 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.245 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.245 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.245 * [taylor]: Taking taylor expansion of 0.5 in y
5.245 * [backup-simplify]: Simplify 0.5 into 0.5
5.245 * [taylor]: Taking taylor expansion of (/ y x) in y
5.245 * [taylor]: Taking taylor expansion of y in y
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 1 into 1
5.245 * [taylor]: Taking taylor expansion of x in y
5.245 * [backup-simplify]: Simplify x into x
5.245 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.245 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.245 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.245 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
5.246 * [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
5.246 * [taylor]: Taking taylor expansion of 0 in y
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.247 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.248 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.248 * [backup-simplify]: Simplify (+ 0) into 0
5.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
5.249 * [backup-simplify]: Simplify 0 into 0
5.250 * [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
5.250 * [taylor]: Taking taylor expansion of 0 in y
5.250 * [backup-simplify]: Simplify 0 into 0
5.250 * [backup-simplify]: Simplify 0 into 0
5.250 * [backup-simplify]: Simplify 0 into 0
5.250 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.251 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
5.252 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
5.252 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
5.253 * [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)))
5.253 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
5.253 * [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
5.253 * [taylor]: Taking taylor expansion of 0 in y
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.254 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
5.255 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.255 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.257 * [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
5.257 * [backup-simplify]: Simplify 0 into 0
5.257 * [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
5.257 * [taylor]: Taking taylor expansion of 0 in y
5.257 * [backup-simplify]: Simplify 0 into 0
5.257 * [backup-simplify]: Simplify 0 into 0
5.257 * [backup-simplify]: Simplify 0 into 0
5.258 * [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))))
5.258 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
5.258 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
5.258 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
5.258 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.258 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.258 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.258 * [taylor]: Taking taylor expansion of 0.5 in y
5.258 * [backup-simplify]: Simplify 0.5 into 0.5
5.258 * [taylor]: Taking taylor expansion of (/ y x) in y
5.258 * [taylor]: Taking taylor expansion of y in y
5.258 * [backup-simplify]: Simplify 0 into 0
5.258 * [backup-simplify]: Simplify 1 into 1
5.258 * [taylor]: Taking taylor expansion of x in y
5.258 * [backup-simplify]: Simplify x into x
5.258 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.258 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.258 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.258 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.258 * [taylor]: Taking taylor expansion of 0.5 in y
5.258 * [backup-simplify]: Simplify 0.5 into 0.5
5.258 * [taylor]: Taking taylor expansion of (/ y x) in y
5.258 * [taylor]: Taking taylor expansion of y in y
5.258 * [backup-simplify]: Simplify 0 into 0
5.258 * [backup-simplify]: Simplify 1 into 1
5.258 * [taylor]: Taking taylor expansion of x in y
5.258 * [backup-simplify]: Simplify x into x
5.258 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.258 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.259 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.259 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.259 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.259 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.259 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.259 * [taylor]: Taking taylor expansion of 0.5 in x
5.259 * [backup-simplify]: Simplify 0.5 into 0.5
5.259 * [taylor]: Taking taylor expansion of (/ y x) in x
5.259 * [taylor]: Taking taylor expansion of y in x
5.259 * [backup-simplify]: Simplify y into y
5.259 * [taylor]: Taking taylor expansion of x in x
5.259 * [backup-simplify]: Simplify 0 into 0
5.259 * [backup-simplify]: Simplify 1 into 1
5.259 * [backup-simplify]: Simplify (/ y 1) into y
5.259 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.259 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.259 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.259 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.259 * [taylor]: Taking taylor expansion of 0.5 in x
5.259 * [backup-simplify]: Simplify 0.5 into 0.5
5.259 * [taylor]: Taking taylor expansion of (/ y x) in x
5.259 * [taylor]: Taking taylor expansion of y in x
5.259 * [backup-simplify]: Simplify y into y
5.259 * [taylor]: Taking taylor expansion of x in x
5.259 * [backup-simplify]: Simplify 0 into 0
5.259 * [backup-simplify]: Simplify 1 into 1
5.259 * [backup-simplify]: Simplify (/ y 1) into y
5.259 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.259 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.259 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.259 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.259 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.260 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.260 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.260 * [taylor]: Taking taylor expansion of 0.5 in x
5.260 * [backup-simplify]: Simplify 0.5 into 0.5
5.260 * [taylor]: Taking taylor expansion of (/ y x) in x
5.260 * [taylor]: Taking taylor expansion of y in x
5.260 * [backup-simplify]: Simplify y into y
5.260 * [taylor]: Taking taylor expansion of x in x
5.260 * [backup-simplify]: Simplify 0 into 0
5.260 * [backup-simplify]: Simplify 1 into 1
5.260 * [backup-simplify]: Simplify (/ y 1) into y
5.260 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.260 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.260 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.260 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.260 * [taylor]: Taking taylor expansion of 0.5 in x
5.260 * [backup-simplify]: Simplify 0.5 into 0.5
5.260 * [taylor]: Taking taylor expansion of (/ y x) in x
5.260 * [taylor]: Taking taylor expansion of y in x
5.260 * [backup-simplify]: Simplify y into y
5.260 * [taylor]: Taking taylor expansion of x in x
5.260 * [backup-simplify]: Simplify 0 into 0
5.260 * [backup-simplify]: Simplify 1 into 1
5.260 * [backup-simplify]: Simplify (/ y 1) into y
5.260 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.260 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.260 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.260 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
5.260 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.260 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.260 * [taylor]: Taking taylor expansion of 0.5 in y
5.260 * [backup-simplify]: Simplify 0.5 into 0.5
5.260 * [taylor]: Taking taylor expansion of (/ y x) in y
5.260 * [taylor]: Taking taylor expansion of y in y
5.260 * [backup-simplify]: Simplify 0 into 0
5.260 * [backup-simplify]: Simplify 1 into 1
5.260 * [taylor]: Taking taylor expansion of x in y
5.260 * [backup-simplify]: Simplify x into x
5.260 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.260 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.261 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.261 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.261 * [taylor]: Taking taylor expansion of 0.5 in y
5.261 * [backup-simplify]: Simplify 0.5 into 0.5
5.261 * [taylor]: Taking taylor expansion of (/ y x) in y
5.261 * [taylor]: Taking taylor expansion of y in y
5.261 * [backup-simplify]: Simplify 0 into 0
5.261 * [backup-simplify]: Simplify 1 into 1
5.261 * [taylor]: Taking taylor expansion of x in y
5.261 * [backup-simplify]: Simplify x into x
5.261 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.261 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.261 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.261 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.261 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
5.261 * [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
5.261 * [taylor]: Taking taylor expansion of 0 in y
5.261 * [backup-simplify]: Simplify 0 into 0
5.261 * [backup-simplify]: Simplify 0 into 0
5.261 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.262 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.262 * [backup-simplify]: Simplify (+ 0) into 0
5.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
5.263 * [backup-simplify]: Simplify 0 into 0
5.263 * [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
5.263 * [taylor]: Taking taylor expansion of 0 in y
5.263 * [backup-simplify]: Simplify 0 into 0
5.263 * [backup-simplify]: Simplify 0 into 0
5.263 * [backup-simplify]: Simplify 0 into 0
5.264 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
5.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
5.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
5.266 * [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)))
5.266 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
5.266 * [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
5.266 * [taylor]: Taking taylor expansion of 0 in y
5.266 * [backup-simplify]: Simplify 0 into 0
5.266 * [backup-simplify]: Simplify 0 into 0
5.266 * [backup-simplify]: Simplify 0 into 0
5.266 * [backup-simplify]: Simplify 0 into 0
5.266 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.267 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
5.268 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.268 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.269 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.270 * [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
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [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
5.270 * [taylor]: Taking taylor expansion of 0 in y
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 0 into 0
5.271 * [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))))
5.271 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
5.271 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
5.271 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
5.271 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
5.271 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.271 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
5.271 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
5.271 * [taylor]: Taking taylor expansion of 0.5 in y
5.271 * [backup-simplify]: Simplify 0.5 into 0.5
5.271 * [taylor]: Taking taylor expansion of (/ x y) in y
5.271 * [taylor]: Taking taylor expansion of x in y
5.271 * [backup-simplify]: Simplify x into x
5.271 * [taylor]: Taking taylor expansion of y in y
5.271 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify 1 into 1
5.271 * [backup-simplify]: Simplify (/ x 1) into x
5.271 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
5.271 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
5.271 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
5.271 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
5.271 * [taylor]: Taking taylor expansion of 0.5 in y
5.271 * [backup-simplify]: Simplify 0.5 into 0.5
5.271 * [taylor]: Taking taylor expansion of (/ x y) in y
5.271 * [taylor]: Taking taylor expansion of x in y
5.271 * [backup-simplify]: Simplify x into x
5.271 * [taylor]: Taking taylor expansion of y in y
5.271 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify 1 into 1
5.271 * [backup-simplify]: Simplify (/ x 1) into x
5.271 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
5.272 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
5.272 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.272 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
5.272 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.272 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
5.272 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.272 * [taylor]: Taking taylor expansion of 0.5 in x
5.272 * [backup-simplify]: Simplify 0.5 into 0.5
5.272 * [taylor]: Taking taylor expansion of (/ x y) in x
5.272 * [taylor]: Taking taylor expansion of x in x
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify 1 into 1
5.272 * [taylor]: Taking taylor expansion of y in x
5.272 * [backup-simplify]: Simplify y into y
5.272 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.272 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.272 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
5.272 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.272 * [taylor]: Taking taylor expansion of 0.5 in x
5.272 * [backup-simplify]: Simplify 0.5 into 0.5
5.272 * [taylor]: Taking taylor expansion of (/ x y) in x
5.272 * [taylor]: Taking taylor expansion of x in x
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify 1 into 1
5.272 * [taylor]: Taking taylor expansion of y in x
5.272 * [backup-simplify]: Simplify y into y
5.272 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.272 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.272 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
5.272 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
5.272 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
5.272 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
5.273 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
5.273 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.273 * [taylor]: Taking taylor expansion of 0.5 in x
5.273 * [backup-simplify]: Simplify 0.5 into 0.5
5.273 * [taylor]: Taking taylor expansion of (/ x y) in x
5.273 * [taylor]: Taking taylor expansion of x in x
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify 1 into 1
5.273 * [taylor]: Taking taylor expansion of y in x
5.273 * [backup-simplify]: Simplify y into y
5.273 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.273 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.273 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
5.273 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.273 * [taylor]: Taking taylor expansion of 0.5 in x
5.273 * [backup-simplify]: Simplify 0.5 into 0.5
5.273 * [taylor]: Taking taylor expansion of (/ x y) in x
5.273 * [taylor]: Taking taylor expansion of x in x
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify 1 into 1
5.273 * [taylor]: Taking taylor expansion of y in x
5.273 * [backup-simplify]: Simplify y into y
5.273 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.273 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
5.273 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
5.273 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
5.273 * [taylor]: Taking taylor expansion of 0.5 in y
5.273 * [backup-simplify]: Simplify 0.5 into 0.5
5.273 * [taylor]: Taking taylor expansion of y in y
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify 1 into 1
5.274 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
5.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
5.274 * [backup-simplify]: Simplify 0 into 0
5.274 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
5.275 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
5.275 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.275 * [backup-simplify]: Simplify (+ 0) into 0
5.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
5.276 * [taylor]: Taking taylor expansion of 0 in y
5.276 * [backup-simplify]: Simplify 0 into 0
5.276 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.277 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.278 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
5.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
5.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
5.280 * [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)))
5.280 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
5.280 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
5.280 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
5.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
5.280 * [taylor]: Taking taylor expansion of (pow y 3) in y
5.280 * [taylor]: Taking taylor expansion of y in y
5.280 * [backup-simplify]: Simplify 0 into 0
5.281 * [backup-simplify]: Simplify 1 into 1
5.281 * [backup-simplify]: Simplify (* 1 1) into 1
5.281 * [backup-simplify]: Simplify (* 1 1) into 1
5.282 * [backup-simplify]: Simplify (/ 1 1) into 1
5.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.290 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
5.291 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
5.291 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
5.291 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.291 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.291 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.291 * [taylor]: Taking taylor expansion of 0.5 in y
5.291 * [backup-simplify]: Simplify 0.5 into 0.5
5.291 * [taylor]: Taking taylor expansion of (/ y x) in y
5.291 * [taylor]: Taking taylor expansion of y in y
5.291 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 1 into 1
5.292 * [taylor]: Taking taylor expansion of x in y
5.292 * [backup-simplify]: Simplify x into x
5.292 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.292 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.292 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.292 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.292 * [taylor]: Taking taylor expansion of 0.5 in y
5.292 * [backup-simplify]: Simplify 0.5 into 0.5
5.292 * [taylor]: Taking taylor expansion of (/ y x) in y
5.292 * [taylor]: Taking taylor expansion of y in y
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 1 into 1
5.292 * [taylor]: Taking taylor expansion of x in y
5.292 * [backup-simplify]: Simplify x into x
5.292 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.292 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.293 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.293 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.293 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.293 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.293 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.293 * [taylor]: Taking taylor expansion of 0.5 in x
5.293 * [backup-simplify]: Simplify 0.5 into 0.5
5.293 * [taylor]: Taking taylor expansion of (/ y x) in x
5.293 * [taylor]: Taking taylor expansion of y in x
5.293 * [backup-simplify]: Simplify y into y
5.293 * [taylor]: Taking taylor expansion of x in x
5.293 * [backup-simplify]: Simplify 0 into 0
5.293 * [backup-simplify]: Simplify 1 into 1
5.293 * [backup-simplify]: Simplify (/ y 1) into y
5.293 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.293 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.293 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.293 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.293 * [taylor]: Taking taylor expansion of 0.5 in x
5.293 * [backup-simplify]: Simplify 0.5 into 0.5
5.293 * [taylor]: Taking taylor expansion of (/ y x) in x
5.293 * [taylor]: Taking taylor expansion of y in x
5.293 * [backup-simplify]: Simplify y into y
5.293 * [taylor]: Taking taylor expansion of x in x
5.294 * [backup-simplify]: Simplify 0 into 0
5.294 * [backup-simplify]: Simplify 1 into 1
5.294 * [backup-simplify]: Simplify (/ y 1) into y
5.294 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.294 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.294 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.294 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.294 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.294 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.294 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.294 * [taylor]: Taking taylor expansion of 0.5 in x
5.294 * [backup-simplify]: Simplify 0.5 into 0.5
5.294 * [taylor]: Taking taylor expansion of (/ y x) in x
5.294 * [taylor]: Taking taylor expansion of y in x
5.294 * [backup-simplify]: Simplify y into y
5.294 * [taylor]: Taking taylor expansion of x in x
5.294 * [backup-simplify]: Simplify 0 into 0
5.294 * [backup-simplify]: Simplify 1 into 1
5.294 * [backup-simplify]: Simplify (/ y 1) into y
5.294 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.295 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.295 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.295 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.295 * [taylor]: Taking taylor expansion of 0.5 in x
5.295 * [backup-simplify]: Simplify 0.5 into 0.5
5.295 * [taylor]: Taking taylor expansion of (/ y x) in x
5.295 * [taylor]: Taking taylor expansion of y in x
5.295 * [backup-simplify]: Simplify y into y
5.295 * [taylor]: Taking taylor expansion of x in x
5.295 * [backup-simplify]: Simplify 0 into 0
5.295 * [backup-simplify]: Simplify 1 into 1
5.295 * [backup-simplify]: Simplify (/ y 1) into y
5.295 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.295 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.295 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.295 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
5.295 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.295 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.295 * [taylor]: Taking taylor expansion of 0.5 in y
5.296 * [backup-simplify]: Simplify 0.5 into 0.5
5.296 * [taylor]: Taking taylor expansion of (/ y x) in y
5.296 * [taylor]: Taking taylor expansion of y in y
5.296 * [backup-simplify]: Simplify 0 into 0
5.296 * [backup-simplify]: Simplify 1 into 1
5.296 * [taylor]: Taking taylor expansion of x in y
5.296 * [backup-simplify]: Simplify x into x
5.296 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.296 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.296 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.296 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.296 * [taylor]: Taking taylor expansion of 0.5 in y
5.296 * [backup-simplify]: Simplify 0.5 into 0.5
5.296 * [taylor]: Taking taylor expansion of (/ y x) in y
5.296 * [taylor]: Taking taylor expansion of y in y
5.296 * [backup-simplify]: Simplify 0 into 0
5.296 * [backup-simplify]: Simplify 1 into 1
5.296 * [taylor]: Taking taylor expansion of x in y
5.296 * [backup-simplify]: Simplify x into x
5.296 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.296 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.296 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.296 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
5.297 * [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
5.297 * [taylor]: Taking taylor expansion of 0 in y
5.297 * [backup-simplify]: Simplify 0 into 0
5.297 * [backup-simplify]: Simplify 0 into 0
5.297 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.298 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.298 * [backup-simplify]: Simplify (+ 0) into 0
5.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
5.298 * [backup-simplify]: Simplify 0 into 0
5.299 * [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
5.299 * [taylor]: Taking taylor expansion of 0 in y
5.299 * [backup-simplify]: Simplify 0 into 0
5.299 * [backup-simplify]: Simplify 0 into 0
5.299 * [backup-simplify]: Simplify 0 into 0
5.299 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.299 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
5.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
5.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
5.301 * [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)))
5.301 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
5.301 * [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
5.301 * [taylor]: Taking taylor expansion of 0 in y
5.301 * [backup-simplify]: Simplify 0 into 0
5.301 * [backup-simplify]: Simplify 0 into 0
5.301 * [backup-simplify]: Simplify 0 into 0
5.302 * [backup-simplify]: Simplify 0 into 0
5.302 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.302 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
5.303 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.303 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.304 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.305 * [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
5.305 * [backup-simplify]: Simplify 0 into 0
5.306 * [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
5.306 * [taylor]: Taking taylor expansion of 0 in y
5.306 * [backup-simplify]: Simplify 0 into 0
5.306 * [backup-simplify]: Simplify 0 into 0
5.306 * [backup-simplify]: Simplify 0 into 0
5.306 * [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))))
5.306 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
5.306 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
5.306 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
5.306 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.306 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.306 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.306 * [taylor]: Taking taylor expansion of 0.5 in y
5.306 * [backup-simplify]: Simplify 0.5 into 0.5
5.306 * [taylor]: Taking taylor expansion of (/ y x) in y
5.306 * [taylor]: Taking taylor expansion of y in y
5.306 * [backup-simplify]: Simplify 0 into 0
5.306 * [backup-simplify]: Simplify 1 into 1
5.306 * [taylor]: Taking taylor expansion of x in y
5.306 * [backup-simplify]: Simplify x into x
5.306 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.306 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.307 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.307 * [taylor]: Taking taylor expansion of 0.5 in y
5.307 * [backup-simplify]: Simplify 0.5 into 0.5
5.307 * [taylor]: Taking taylor expansion of (/ y x) in y
5.307 * [taylor]: Taking taylor expansion of y in y
5.307 * [backup-simplify]: Simplify 0 into 0
5.307 * [backup-simplify]: Simplify 1 into 1
5.307 * [taylor]: Taking taylor expansion of x in y
5.307 * [backup-simplify]: Simplify x into x
5.307 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.307 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.307 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.307 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.307 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.307 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.307 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.307 * [taylor]: Taking taylor expansion of 0.5 in x
5.307 * [backup-simplify]: Simplify 0.5 into 0.5
5.307 * [taylor]: Taking taylor expansion of (/ y x) in x
5.307 * [taylor]: Taking taylor expansion of y in x
5.307 * [backup-simplify]: Simplify y into y
5.307 * [taylor]: Taking taylor expansion of x in x
5.307 * [backup-simplify]: Simplify 0 into 0
5.307 * [backup-simplify]: Simplify 1 into 1
5.307 * [backup-simplify]: Simplify (/ y 1) into y
5.307 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.307 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.307 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.307 * [taylor]: Taking taylor expansion of 0.5 in x
5.307 * [backup-simplify]: Simplify 0.5 into 0.5
5.307 * [taylor]: Taking taylor expansion of (/ y x) in x
5.307 * [taylor]: Taking taylor expansion of y in x
5.307 * [backup-simplify]: Simplify y into y
5.307 * [taylor]: Taking taylor expansion of x in x
5.307 * [backup-simplify]: Simplify 0 into 0
5.307 * [backup-simplify]: Simplify 1 into 1
5.307 * [backup-simplify]: Simplify (/ y 1) into y
5.307 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.308 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.308 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.308 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
5.308 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.308 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.308 * [taylor]: Taking taylor expansion of 0.5 in x
5.308 * [backup-simplify]: Simplify 0.5 into 0.5
5.308 * [taylor]: Taking taylor expansion of (/ y x) in x
5.308 * [taylor]: Taking taylor expansion of y in x
5.308 * [backup-simplify]: Simplify y into y
5.308 * [taylor]: Taking taylor expansion of x in x
5.308 * [backup-simplify]: Simplify 0 into 0
5.308 * [backup-simplify]: Simplify 1 into 1
5.308 * [backup-simplify]: Simplify (/ y 1) into y
5.308 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.308 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.308 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
5.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.308 * [taylor]: Taking taylor expansion of 0.5 in x
5.308 * [backup-simplify]: Simplify 0.5 into 0.5
5.308 * [taylor]: Taking taylor expansion of (/ y x) in x
5.308 * [taylor]: Taking taylor expansion of y in x
5.308 * [backup-simplify]: Simplify y into y
5.308 * [taylor]: Taking taylor expansion of x in x
5.308 * [backup-simplify]: Simplify 0 into 0
5.308 * [backup-simplify]: Simplify 1 into 1
5.308 * [backup-simplify]: Simplify (/ y 1) into y
5.308 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.308 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
5.308 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
5.308 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
5.309 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.309 * [taylor]: Taking taylor expansion of 0.5 in y
5.309 * [backup-simplify]: Simplify 0.5 into 0.5
5.309 * [taylor]: Taking taylor expansion of (/ y x) in y
5.309 * [taylor]: Taking taylor expansion of y in y
5.309 * [backup-simplify]: Simplify 0 into 0
5.309 * [backup-simplify]: Simplify 1 into 1
5.309 * [taylor]: Taking taylor expansion of x in y
5.309 * [backup-simplify]: Simplify x into x
5.309 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.309 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.309 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
5.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.309 * [taylor]: Taking taylor expansion of 0.5 in y
5.309 * [backup-simplify]: Simplify 0.5 into 0.5
5.309 * [taylor]: Taking taylor expansion of (/ y x) in y
5.309 * [taylor]: Taking taylor expansion of y in y
5.309 * [backup-simplify]: Simplify 0 into 0
5.309 * [backup-simplify]: Simplify 1 into 1
5.309 * [taylor]: Taking taylor expansion of x in y
5.309 * [backup-simplify]: Simplify x into x
5.309 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.309 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.309 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.309 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
5.309 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
5.309 * [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
5.309 * [taylor]: Taking taylor expansion of 0 in y
5.309 * [backup-simplify]: Simplify 0 into 0
5.310 * [backup-simplify]: Simplify 0 into 0
5.310 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.310 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.311 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.311 * [backup-simplify]: Simplify (+ 0) into 0
5.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
5.312 * [backup-simplify]: Simplify 0 into 0
5.312 * [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))))))) into 0
5.312 * [taylor]: Taking taylor expansion of 0 in y
5.312 * [backup-simplify]: Simplify 0 into 0
5.313 * [backup-simplify]: Simplify 0 into 0
5.313 * [backup-simplify]: Simplify 0 into 0
5.313 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
5.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
5.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
5.318 * [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)))
5.319 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
5.319 * [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
5.319 * [taylor]: Taking taylor expansion of 0 in y
5.319 * [backup-simplify]: Simplify 0 into 0
5.319 * [backup-simplify]: Simplify 0 into 0
5.319 * [backup-simplify]: Simplify 0 into 0
5.319 * [backup-simplify]: Simplify 0 into 0
5.319 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.320 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
5.321 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.321 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.322 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.322 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.323 * [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
5.323 * [backup-simplify]: Simplify 0 into 0
5.324 * [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
5.324 * [taylor]: Taking taylor expansion of 0 in y
5.324 * [backup-simplify]: Simplify 0 into 0
5.324 * [backup-simplify]: Simplify 0 into 0
5.324 * [backup-simplify]: Simplify 0 into 0
5.325 * [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))))
5.325 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
5.325 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y)))
5.325 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0
5.325 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
5.325 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
5.325 * [taylor]: Taking taylor expansion of 0.5 in y
5.325 * [backup-simplify]: Simplify 0.5 into 0.5
5.325 * [taylor]: Taking taylor expansion of (/ x y) in y
5.325 * [taylor]: Taking taylor expansion of x in y
5.325 * [backup-simplify]: Simplify x into x
5.325 * [taylor]: Taking taylor expansion of y in y
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify 1 into 1
5.325 * [backup-simplify]: Simplify (/ x 1) into x
5.325 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
5.325 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
5.325 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
5.325 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.325 * [taylor]: Taking taylor expansion of 0.5 in x
5.325 * [backup-simplify]: Simplify 0.5 into 0.5
5.325 * [taylor]: Taking taylor expansion of (/ x y) in x
5.325 * [taylor]: Taking taylor expansion of x in x
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify 1 into 1
5.325 * [taylor]: Taking taylor expansion of y in x
5.325 * [backup-simplify]: Simplify y into y
5.325 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.325 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.325 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
5.325 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
5.325 * [taylor]: Taking taylor expansion of 0.5 in x
5.325 * [backup-simplify]: Simplify 0.5 into 0.5
5.325 * [taylor]: Taking taylor expansion of (/ x y) in x
5.325 * [taylor]: Taking taylor expansion of x in x
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify 1 into 1
5.325 * [taylor]: Taking taylor expansion of y in x
5.325 * [backup-simplify]: Simplify y into y
5.326 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.326 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
5.326 * [taylor]: Taking taylor expansion of 0 in y
5.326 * [backup-simplify]: Simplify 0 into 0
5.326 * [backup-simplify]: Simplify 0 into 0
5.326 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
5.326 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y
5.326 * [taylor]: Taking taylor expansion of 0.5 in y
5.326 * [backup-simplify]: Simplify 0.5 into 0.5
5.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.326 * [taylor]: Taking taylor expansion of y in y
5.326 * [backup-simplify]: Simplify 0 into 0
5.326 * [backup-simplify]: Simplify 1 into 1
5.326 * [backup-simplify]: Simplify (/ 1 1) into 1
5.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
5.327 * [backup-simplify]: Simplify 0 into 0
5.327 * [backup-simplify]: Simplify 0 into 0
5.327 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
5.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
5.328 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.328 * [taylor]: Taking taylor expansion of 0 in y
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [backup-simplify]: Simplify 0 into 0
5.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.329 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
5.329 * [backup-simplify]: Simplify 0 into 0
5.329 * [backup-simplify]: Simplify 0 into 0
5.329 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x)))
5.330 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
5.330 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.330 * [taylor]: Taking taylor expansion of 0.5 in y
5.330 * [backup-simplify]: Simplify 0.5 into 0.5
5.330 * [taylor]: Taking taylor expansion of (/ y x) in y
5.330 * [taylor]: Taking taylor expansion of y in y
5.330 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify 1 into 1
5.330 * [taylor]: Taking taylor expansion of x in y
5.330 * [backup-simplify]: Simplify x into x
5.330 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.330 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.330 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.330 * [taylor]: Taking taylor expansion of 0.5 in x
5.330 * [backup-simplify]: Simplify 0.5 into 0.5
5.330 * [taylor]: Taking taylor expansion of (/ y x) in x
5.330 * [taylor]: Taking taylor expansion of y in x
5.330 * [backup-simplify]: Simplify y into y
5.330 * [taylor]: Taking taylor expansion of x in x
5.330 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify 1 into 1
5.330 * [backup-simplify]: Simplify (/ y 1) into y
5.330 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.330 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.330 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.330 * [taylor]: Taking taylor expansion of 0.5 in x
5.330 * [backup-simplify]: Simplify 0.5 into 0.5
5.330 * [taylor]: Taking taylor expansion of (/ y x) in x
5.330 * [taylor]: Taking taylor expansion of y in x
5.330 * [backup-simplify]: Simplify y into y
5.330 * [taylor]: Taking taylor expansion of x in x
5.330 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify 1 into 1
5.330 * [backup-simplify]: Simplify (/ y 1) into y
5.330 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.330 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.330 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.330 * [taylor]: Taking taylor expansion of 0.5 in y
5.330 * [backup-simplify]: Simplify 0.5 into 0.5
5.330 * [taylor]: Taking taylor expansion of (/ y x) in y
5.331 * [taylor]: Taking taylor expansion of y in y
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [backup-simplify]: Simplify 1 into 1
5.331 * [taylor]: Taking taylor expansion of x in y
5.331 * [backup-simplify]: Simplify x into x
5.331 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.331 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [taylor]: Taking taylor expansion of 0 in y
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.331 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.331 * [taylor]: Taking taylor expansion of 0 in y
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.331 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.332 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.332 * [backup-simplify]: Simplify 0 into 0
5.332 * [taylor]: Taking taylor expansion of 0 in y
5.332 * [backup-simplify]: Simplify 0 into 0
5.332 * [backup-simplify]: Simplify 0 into 0
5.332 * [backup-simplify]: Simplify 0 into 0
5.332 * [backup-simplify]: Simplify 0 into 0
5.332 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y))
5.332 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x)))
5.332 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
5.332 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.332 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.332 * [taylor]: Taking taylor expansion of 0.5 in y
5.332 * [backup-simplify]: Simplify 0.5 into 0.5
5.332 * [taylor]: Taking taylor expansion of (/ y x) in y
5.332 * [taylor]: Taking taylor expansion of y in y
5.332 * [backup-simplify]: Simplify 0 into 0
5.332 * [backup-simplify]: Simplify 1 into 1
5.332 * [taylor]: Taking taylor expansion of x in y
5.333 * [backup-simplify]: Simplify x into x
5.333 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.333 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.333 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.333 * [taylor]: Taking taylor expansion of 0.5 in x
5.333 * [backup-simplify]: Simplify 0.5 into 0.5
5.333 * [taylor]: Taking taylor expansion of (/ y x) in x
5.333 * [taylor]: Taking taylor expansion of y in x
5.333 * [backup-simplify]: Simplify y into y
5.333 * [taylor]: Taking taylor expansion of x in x
5.333 * [backup-simplify]: Simplify 0 into 0
5.333 * [backup-simplify]: Simplify 1 into 1
5.333 * [backup-simplify]: Simplify (/ y 1) into y
5.333 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.333 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.333 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
5.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
5.333 * [taylor]: Taking taylor expansion of 0.5 in x
5.333 * [backup-simplify]: Simplify 0.5 into 0.5
5.333 * [taylor]: Taking taylor expansion of (/ y x) in x
5.333 * [taylor]: Taking taylor expansion of y in x
5.333 * [backup-simplify]: Simplify y into y
5.333 * [taylor]: Taking taylor expansion of x in x
5.333 * [backup-simplify]: Simplify 0 into 0
5.333 * [backup-simplify]: Simplify 1 into 1
5.333 * [backup-simplify]: Simplify (/ y 1) into y
5.333 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
5.333 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
5.333 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
5.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
5.333 * [taylor]: Taking taylor expansion of 0.5 in y
5.333 * [backup-simplify]: Simplify 0.5 into 0.5
5.333 * [taylor]: Taking taylor expansion of (/ y x) in y
5.333 * [taylor]: Taking taylor expansion of y in y
5.333 * [backup-simplify]: Simplify 0 into 0
5.333 * [backup-simplify]: Simplify 1 into 1
5.333 * [taylor]: Taking taylor expansion of x in y
5.333 * [backup-simplify]: Simplify x into x
5.333 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.333 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.333 * [backup-simplify]: Simplify 0 into 0
5.333 * [taylor]: Taking taylor expansion of 0 in y
5.334 * [backup-simplify]: Simplify 0 into 0
5.334 * [backup-simplify]: Simplify 0 into 0
5.334 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
5.334 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
5.334 * [taylor]: Taking taylor expansion of 0 in y
5.334 * [backup-simplify]: Simplify 0 into 0
5.334 * [backup-simplify]: Simplify 0 into 0
5.334 * [backup-simplify]: Simplify 0 into 0
5.334 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
5.334 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
5.335 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [taylor]: Taking taylor expansion of 0 in y
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y))
5.335 * * * [progress]: simplifying candidates
5.336 * [simplify]: Simplifying:
  (expm1 (tan (/ x (* y 2.0))))
  (log1p (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))))
  (expm1 (tan (/ x (* y 2.0))))
  (log1p (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))))
  (expm1 (tan (/ x (* y 2.0))))
  (log1p (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))))
  (expm1 (sin (/ x (* y 2.0))))
  (log1p (sin (/ 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))
5.336 * * [simplify]: iteration 0: 37 enodes
5.344 * * [simplify]: iteration 1: 62 enodes
5.358 * * [simplify]: iteration 2: 137 enodes
5.402 * * [simplify]: iteration 3: 444 enodes
6.148 * * [simplify]: iteration 4: 1580 enodes
7.492 * * [simplify]: iteration complete: 5000 enodes
7.492 * * [simplify]: Extracting #0: cost 21 inf + 0
7.492 * * [simplify]: Extracting #1: cost 114 inf + 1
7.495 * * [simplify]: Extracting #2: cost 802 inf + 890
7.514 * * [simplify]: Extracting #3: cost 1253 inf + 14070
7.550 * * [simplify]: Extracting #4: cost 1044 inf + 135880
7.622 * * [simplify]: Extracting #5: cost 303 inf + 571297
7.710 * * [simplify]: Extracting #6: cost 7 inf + 760153
7.784 * * [simplify]: Extracting #7: cost 0 inf + 753614
7.876 * * [simplify]: Extracting #8: cost 0 inf + 753301
8.017 * [simplify]: Simplified to:
  (expm1 (tan (/ x (* 2.0 y))))
  (log1p (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))))
  (expm1 (tan (/ x (* 2.0 y))))
  (log1p (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))))
  (expm1 (tan (/ x (* 2.0 y))))
  (log1p (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))))
  (expm1 (sin (/ x (* 2.0 y))))
  (log1p (sin (/ 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) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  (* (/ x y) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  0
  (* (/ x y) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  (* (/ x y) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  0
  (* (/ x y) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  (* (/ x y) (fma (/ x y) (* (/ x y) 0.04166666666666667) 0.5))
  0
  (/ (* 0.5 x) y)
  (/ (* 0.5 x) y)
8.025 * * * [progress]: adding candidates to table
8.419 * [progress]: [Phase 3 of 3] Extracting.
8.419 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (/ 0 (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (log (exp (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 (* (* (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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (* 0.5 (/ x y))))))> #<alt (λ (x y) (* (/ (* (cbrt (/ (sin (/ x (* y 2.0))) (cos (/ 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) (* (/ (* (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)))))))> #<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)))))))> #<alt (λ (x y) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (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))))) (cbrt (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) 1.0)> #<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) (* (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ 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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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))))))>)
8.428 * * * [regime-changes]: Trying 5 branch expressions: ((* y 2.0) (/ x (* y 2.0)) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) y x)
8.428 * * * * [regimes]: Trying to branch on (* y 2.0) from (#<alt (λ (x y) (/ 0 (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (log (exp (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 (* (* (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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (* 0.5 (/ x y))))))> #<alt (λ (x y) (* (/ (* (cbrt (/ (sin (/ x (* y 2.0))) (cos (/ 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) (* (/ (* (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)))))))> #<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)))))))> #<alt (λ (x y) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (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))))) (cbrt (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) 1.0)> #<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) (* (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ 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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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))))))>)
8.572 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (#<alt (λ (x y) (/ 0 (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (log (exp (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 (* (* (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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (* 0.5 (/ x y))))))> #<alt (λ (x y) (* (/ (* (cbrt (/ (sin (/ x (* y 2.0))) (cos (/ 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) (* (/ (* (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)))))))> #<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)))))))> #<alt (λ (x y) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (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))))) (cbrt (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) 1.0)> #<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) (* (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ 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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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))))))>)
8.693 * * * * [regimes]: Trying to branch on (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) from (#<alt (λ (x y) (/ 0 (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (log (exp (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 (* (* (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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (* 0.5 (/ x y))))))> #<alt (λ (x y) (* (/ (* (cbrt (/ (sin (/ x (* y 2.0))) (cos (/ 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) (* (/ (* (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)))))))> #<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)))))))> #<alt (λ (x y) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (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))))) (cbrt (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) 1.0)> #<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) (* (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ 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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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))))))>)
8.824 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (/ 0 (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (log (exp (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 (* (* (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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (* 0.5 (/ x y))))))> #<alt (λ (x y) (* (/ (* (cbrt (/ (sin (/ x (* y 2.0))) (cos (/ 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) (* (/ (* (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)))))))> #<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)))))))> #<alt (λ (x y) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (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))))) (cbrt (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) 1.0)> #<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) (* (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ 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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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))))))>)
8.972 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (/ 0 (sin (/ x (* y 2.0)))))> #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (log (exp (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 (* (* (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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (* 0.5 (/ x y))))))> #<alt (λ (x y) (* (/ (* (cbrt (/ (sin (/ x (* y 2.0))) (cos (/ 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) (* (/ (* (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)))))))> #<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)))))))> #<alt (λ (x y) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (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))))) (cbrt (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))> #<alt (λ (x y) 1.0)> #<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) (* (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ 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))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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))))))>)
9.122 * * * [regime]: Found split indices: #<option (#s(si 10 255))>
9.122 * [simplify]: Simplifying:
  1.0
9.122 * * [simplify]: iteration 0: 1 enodes
9.122 * * [simplify]: iteration complete: 1 enodes
9.122 * * [simplify]: Extracting #0: cost 1 inf + 0
9.122 * * [simplify]: Extracting #1: cost 0 inf + 1
9.122 * [simplify]: Simplified to:
  1.0
18.042 * [regime-testing]: Baseline error score: 28.73349977355109
18.058 * [regime-testing]: Oracle error score: 26.33661582402371
18.085 * [regime-testing]: End program error score: 28.73349977355109
18.291 * [regime-testing]: Target error score: 29.237553501686662