46.013 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.152 * * * [progress]: [2/2] Setting up program.
0.159 * [progress]: [Phase 2 of 3] Improving.
0.159 * [simplify]: Simplifying:
  (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
0.159 * * [simplify]: iteration 0: 8 enodes
0.161 * * [simplify]: iteration 1: 11 enodes
0.164 * * [simplify]: iteration complete: 11 enodes
0.164 * * [simplify]: Extracting #0: cost 1 inf + 0
0.164 * * [simplify]: Extracting #1: cost 3 inf + 0
0.164 * * [simplify]: Extracting #2: cost 4 inf + 0
0.164 * * [simplify]: Extracting #3: cost 8 inf + 0
0.164 * * [simplify]: Extracting #4: cost 7 inf + 2
0.164 * * [simplify]: Extracting #5: cost 0 inf + 769
0.165 * [simplify]: Simplified to:
  (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
0.166 * * [progress]: iteration 1 / 4
0.166 * * * [progress]: picking best candidate
0.172 * * * * [pick]: Picked  #<alt (λ (x y) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))>
0.172 * * * [progress]: localizing error
0.188 * * * [progress]: generating rewritten candidates
0.188 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
0.190 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.194 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
0.203 * * * [progress]: generating series expansions
0.203 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
0.204 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
0.204 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
0.204 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
0.204 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.204 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.204 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.204 * [taylor]: Taking taylor expansion of 0.5 in y
0.204 * [backup-simplify]: Simplify 0.5 into 0.5
0.204 * [taylor]: Taking taylor expansion of (/ x y) in y
0.204 * [taylor]: Taking taylor expansion of x in y
0.204 * [backup-simplify]: Simplify x into x
0.204 * [taylor]: Taking taylor expansion of y in y
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (/ x 1) into x
0.204 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.204 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.204 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
0.204 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.204 * [taylor]: Taking taylor expansion of 0.5 in y
0.204 * [backup-simplify]: Simplify 0.5 into 0.5
0.204 * [taylor]: Taking taylor expansion of (/ x y) in y
0.204 * [taylor]: Taking taylor expansion of x in y
0.204 * [backup-simplify]: Simplify x into x
0.204 * [taylor]: Taking taylor expansion of y in y
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (/ x 1) into x
0.204 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.204 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
0.204 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.204 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.205 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.205 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.205 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.205 * [taylor]: Taking taylor expansion of 0.5 in x
0.205 * [backup-simplify]: Simplify 0.5 into 0.5
0.205 * [taylor]: Taking taylor expansion of (/ x y) in x
0.205 * [taylor]: Taking taylor expansion of x in x
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [taylor]: Taking taylor expansion of y in x
0.205 * [backup-simplify]: Simplify y into y
0.205 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.205 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.205 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.205 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.205 * [taylor]: Taking taylor expansion of 0.5 in x
0.205 * [backup-simplify]: Simplify 0.5 into 0.5
0.205 * [taylor]: Taking taylor expansion of (/ x y) in x
0.205 * [taylor]: Taking taylor expansion of x in x
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [taylor]: Taking taylor expansion of y in x
0.205 * [backup-simplify]: Simplify y into y
0.205 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.205 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.205 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.205 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.205 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.205 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.205 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.205 * [taylor]: Taking taylor expansion of 0.5 in x
0.205 * [backup-simplify]: Simplify 0.5 into 0.5
0.205 * [taylor]: Taking taylor expansion of (/ x y) in x
0.205 * [taylor]: Taking taylor expansion of x in x
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [taylor]: Taking taylor expansion of y in x
0.205 * [backup-simplify]: Simplify y into y
0.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.206 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.206 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.206 * [taylor]: Taking taylor expansion of 0.5 in x
0.206 * [backup-simplify]: Simplify 0.5 into 0.5
0.206 * [taylor]: Taking taylor expansion of (/ x y) in x
0.206 * [taylor]: Taking taylor expansion of x in x
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [taylor]: Taking taylor expansion of y in x
0.206 * [backup-simplify]: Simplify y into y
0.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.206 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.206 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.206 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
0.206 * [taylor]: Taking taylor expansion of 0.5 in y
0.206 * [backup-simplify]: Simplify 0.5 into 0.5
0.206 * [taylor]: Taking taylor expansion of y in y
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.208 * [backup-simplify]: Simplify (+ 0) into 0
0.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
0.209 * [taylor]: Taking taylor expansion of 0 in y
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.210 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.211 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
0.211 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
0.212 * [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)))
0.212 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
0.212 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
0.212 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
0.212 * [taylor]: Taking taylor expansion of (pow y 3) in y
0.212 * [taylor]: Taking taylor expansion of y in y
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (* 1 1) into 1
0.213 * [backup-simplify]: Simplify (* 1 1) into 1
0.213 * [backup-simplify]: Simplify (/ 1 1) into 1
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
0.222 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
0.222 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.223 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.223 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.223 * [taylor]: Taking taylor expansion of 0.5 in y
0.223 * [backup-simplify]: Simplify 0.5 into 0.5
0.223 * [taylor]: Taking taylor expansion of (/ y x) in y
0.223 * [taylor]: Taking taylor expansion of y in y
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [taylor]: Taking taylor expansion of x in y
0.223 * [backup-simplify]: Simplify x into x
0.223 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.223 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.223 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.223 * [taylor]: Taking taylor expansion of 0.5 in y
0.223 * [backup-simplify]: Simplify 0.5 into 0.5
0.223 * [taylor]: Taking taylor expansion of (/ y x) in y
0.223 * [taylor]: Taking taylor expansion of y in y
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [taylor]: Taking taylor expansion of x in y
0.223 * [backup-simplify]: Simplify x into x
0.223 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.223 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.224 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.224 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.224 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.224 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.224 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.224 * [taylor]: Taking taylor expansion of 0.5 in x
0.224 * [backup-simplify]: Simplify 0.5 into 0.5
0.224 * [taylor]: Taking taylor expansion of (/ y x) in x
0.224 * [taylor]: Taking taylor expansion of y in x
0.224 * [backup-simplify]: Simplify y into y
0.224 * [taylor]: Taking taylor expansion of x in x
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify (/ y 1) into y
0.224 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.224 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.224 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.224 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.224 * [taylor]: Taking taylor expansion of 0.5 in x
0.224 * [backup-simplify]: Simplify 0.5 into 0.5
0.224 * [taylor]: Taking taylor expansion of (/ y x) in x
0.224 * [taylor]: Taking taylor expansion of y in x
0.224 * [backup-simplify]: Simplify y into y
0.224 * [taylor]: Taking taylor expansion of x in x
0.224 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (/ y 1) into y
0.225 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.225 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.225 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.225 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.225 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.225 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.225 * [taylor]: Taking taylor expansion of 0.5 in x
0.225 * [backup-simplify]: Simplify 0.5 into 0.5
0.225 * [taylor]: Taking taylor expansion of (/ y x) in x
0.225 * [taylor]: Taking taylor expansion of y in x
0.225 * [backup-simplify]: Simplify y into y
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (/ y 1) into y
0.225 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.226 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.226 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.226 * [taylor]: Taking taylor expansion of 0.5 in x
0.226 * [backup-simplify]: Simplify 0.5 into 0.5
0.226 * [taylor]: Taking taylor expansion of (/ y x) in x
0.226 * [taylor]: Taking taylor expansion of y in x
0.226 * [backup-simplify]: Simplify y into y
0.226 * [taylor]: Taking taylor expansion of x in x
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [backup-simplify]: Simplify (/ y 1) into y
0.226 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.226 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.226 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.226 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
0.226 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.226 * [taylor]: Taking taylor expansion of 0.5 in y
0.226 * [backup-simplify]: Simplify 0.5 into 0.5
0.226 * [taylor]: Taking taylor expansion of (/ y x) in y
0.226 * [taylor]: Taking taylor expansion of y in y
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [taylor]: Taking taylor expansion of x in y
0.227 * [backup-simplify]: Simplify x into x
0.227 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.227 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.227 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.227 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.227 * [taylor]: Taking taylor expansion of 0.5 in y
0.227 * [backup-simplify]: Simplify 0.5 into 0.5
0.227 * [taylor]: Taking taylor expansion of (/ y x) in y
0.227 * [taylor]: Taking taylor expansion of y in y
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [taylor]: Taking taylor expansion of x in y
0.227 * [backup-simplify]: Simplify x into x
0.227 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.227 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.227 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.227 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
0.228 * [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
0.228 * [taylor]: Taking taylor expansion of 0 in y
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.229 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.229 * [backup-simplify]: Simplify (+ 0) into 0
0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.230 * [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
0.230 * [taylor]: Taking taylor expansion of 0 in y
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.230 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.231 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
0.231 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.232 * [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)))
0.232 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
0.233 * [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
0.233 * [taylor]: Taking taylor expansion of 0 in y
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.234 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
0.235 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.235 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.236 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.237 * [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
0.237 * [backup-simplify]: Simplify 0 into 0
0.238 * [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
0.238 * [taylor]: Taking taylor expansion of 0 in y
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [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))))
0.238 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
0.238 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
0.238 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.238 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.238 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.238 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) 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 x) in y
0.238 * [taylor]: Taking taylor expansion of y in y
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [taylor]: Taking taylor expansion of x in y
0.239 * [backup-simplify]: Simplify x into x
0.239 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.239 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.239 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.239 * [taylor]: Taking taylor expansion of 0.5 in y
0.239 * [backup-simplify]: Simplify 0.5 into 0.5
0.239 * [taylor]: Taking taylor expansion of (/ y x) in y
0.239 * [taylor]: Taking taylor expansion of y in y
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [taylor]: Taking taylor expansion of x in y
0.239 * [backup-simplify]: Simplify x into x
0.239 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.239 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.239 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.239 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.239 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.239 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.239 * [taylor]: Taking taylor expansion of 0.5 in x
0.239 * [backup-simplify]: Simplify 0.5 into 0.5
0.239 * [taylor]: Taking taylor expansion of (/ y x) in x
0.239 * [taylor]: Taking taylor expansion of y in x
0.239 * [backup-simplify]: Simplify y into y
0.239 * [taylor]: Taking taylor expansion of x in x
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify (/ y 1) into y
0.239 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.239 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.239 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.239 * [taylor]: Taking taylor expansion of 0.5 in x
0.239 * [backup-simplify]: Simplify 0.5 into 0.5
0.240 * [taylor]: Taking taylor expansion of (/ y x) in x
0.240 * [taylor]: Taking taylor expansion of y in x
0.240 * [backup-simplify]: Simplify y into y
0.240 * [taylor]: Taking taylor expansion of x in x
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [backup-simplify]: Simplify (/ y 1) into y
0.240 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.240 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.240 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.240 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.240 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.240 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.240 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.240 * [taylor]: Taking taylor expansion of 0.5 in x
0.240 * [backup-simplify]: Simplify 0.5 into 0.5
0.240 * [taylor]: Taking taylor expansion of (/ y x) in x
0.240 * [taylor]: Taking taylor expansion of y in x
0.240 * [backup-simplify]: Simplify y into y
0.240 * [taylor]: Taking taylor expansion of x in x
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [backup-simplify]: Simplify (/ y 1) into y
0.240 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.240 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.240 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.240 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.240 * [taylor]: Taking taylor expansion of 0.5 in x
0.240 * [backup-simplify]: Simplify 0.5 into 0.5
0.240 * [taylor]: Taking taylor expansion of (/ y x) in x
0.240 * [taylor]: Taking taylor expansion of y in x
0.240 * [backup-simplify]: Simplify y into y
0.240 * [taylor]: Taking taylor expansion of x in x
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [backup-simplify]: Simplify (/ y 1) into y
0.240 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.240 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.241 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.241 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
0.241 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.241 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.241 * [taylor]: Taking taylor expansion of 0.5 in y
0.241 * [backup-simplify]: Simplify 0.5 into 0.5
0.241 * [taylor]: Taking taylor expansion of (/ y x) in y
0.241 * [taylor]: Taking taylor expansion of y in y
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [taylor]: Taking taylor expansion of x in y
0.241 * [backup-simplify]: Simplify x into x
0.241 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.241 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.241 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.241 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.241 * [taylor]: Taking taylor expansion of 0.5 in y
0.241 * [backup-simplify]: Simplify 0.5 into 0.5
0.241 * [taylor]: Taking taylor expansion of (/ y x) in y
0.241 * [taylor]: Taking taylor expansion of y in y
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [taylor]: Taking taylor expansion of x in y
0.241 * [backup-simplify]: Simplify x into x
0.241 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.241 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.241 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.241 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
0.242 * [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
0.242 * [taylor]: Taking taylor expansion of 0 in y
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.254 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.254 * [backup-simplify]: Simplify (+ 0) into 0
0.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.256 * [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
0.256 * [taylor]: Taking taylor expansion of 0 in y
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.258 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
0.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.260 * [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)))
0.260 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
0.261 * [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))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
0.261 * [taylor]: Taking taylor expansion of 0 in y
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.264 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.266 * [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
0.266 * [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))))) (* 0 (/ 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 (+ (* (/ 0.04166666666666667 (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))))
0.268 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.268 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y)))
0.268 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0
0.268 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.268 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.268 * [taylor]: Taking taylor expansion of 0.5 in y
0.268 * [backup-simplify]: Simplify 0.5 into 0.5
0.268 * [taylor]: Taking taylor expansion of (/ x y) in y
0.268 * [taylor]: Taking taylor expansion of x in y
0.268 * [backup-simplify]: Simplify x into x
0.268 * [taylor]: Taking taylor expansion of y in y
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (/ x 1) into x
0.269 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.269 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.269 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.269 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.269 * [taylor]: Taking taylor expansion of 0.5 in x
0.269 * [backup-simplify]: Simplify 0.5 into 0.5
0.269 * [taylor]: Taking taylor expansion of (/ x y) in x
0.269 * [taylor]: Taking taylor expansion of x in x
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [taylor]: Taking taylor expansion of y in x
0.269 * [backup-simplify]: Simplify y into y
0.269 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.269 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.269 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.269 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.269 * [taylor]: Taking taylor expansion of 0.5 in x
0.269 * [backup-simplify]: Simplify 0.5 into 0.5
0.269 * [taylor]: Taking taylor expansion of (/ x y) in x
0.269 * [taylor]: Taking taylor expansion of x in x
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [taylor]: Taking taylor expansion of y in x
0.269 * [backup-simplify]: Simplify y into y
0.269 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.269 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.269 * [taylor]: Taking taylor expansion of 0 in y
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.270 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y
0.270 * [taylor]: Taking taylor expansion of 0.5 in y
0.270 * [backup-simplify]: Simplify 0.5 into 0.5
0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.270 * [taylor]: Taking taylor expansion of y in y
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (/ 1 1) into 1
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.272 * [taylor]: Taking taylor expansion of 0 in y
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x)))
0.274 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
0.274 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.274 * [taylor]: Taking taylor expansion of 0.5 in y
0.274 * [backup-simplify]: Simplify 0.5 into 0.5
0.274 * [taylor]: Taking taylor expansion of (/ y x) in y
0.274 * [taylor]: Taking taylor expansion of y in y
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [taylor]: Taking taylor expansion of x in y
0.274 * [backup-simplify]: Simplify x into x
0.274 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.274 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.274 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.274 * [taylor]: Taking taylor expansion of 0.5 in x
0.274 * [backup-simplify]: Simplify 0.5 into 0.5
0.274 * [taylor]: Taking taylor expansion of (/ y x) in x
0.274 * [taylor]: Taking taylor expansion of y in x
0.274 * [backup-simplify]: Simplify y into y
0.274 * [taylor]: Taking taylor expansion of x in x
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [backup-simplify]: Simplify (/ y 1) into y
0.274 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.275 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.275 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.275 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.275 * [taylor]: Taking taylor expansion of 0.5 in x
0.275 * [backup-simplify]: Simplify 0.5 into 0.5
0.275 * [taylor]: Taking taylor expansion of (/ y x) in x
0.275 * [taylor]: Taking taylor expansion of y in x
0.275 * [backup-simplify]: Simplify y into y
0.275 * [taylor]: Taking taylor expansion of x in x
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (/ y 1) into y
0.275 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.275 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.275 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.275 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.275 * [taylor]: Taking taylor expansion of 0.5 in y
0.275 * [backup-simplify]: Simplify 0.5 into 0.5
0.275 * [taylor]: Taking taylor expansion of (/ y x) in y
0.275 * [taylor]: Taking taylor expansion of y in y
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [taylor]: Taking taylor expansion of x in y
0.275 * [backup-simplify]: Simplify x into x
0.275 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.276 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [taylor]: Taking taylor expansion of 0 in y
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.276 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.276 * [taylor]: Taking taylor expansion of 0 in y
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [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
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y))
0.278 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x)))
0.278 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
0.278 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.278 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.278 * [taylor]: Taking taylor expansion of 0.5 in y
0.278 * [backup-simplify]: Simplify 0.5 into 0.5
0.278 * [taylor]: Taking taylor expansion of (/ y x) in y
0.278 * [taylor]: Taking taylor expansion of y in y
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of x in y
0.278 * [backup-simplify]: Simplify x into x
0.278 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.278 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.278 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.278 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.278 * [taylor]: Taking taylor expansion of 0.5 in x
0.278 * [backup-simplify]: Simplify 0.5 into 0.5
0.278 * [taylor]: Taking taylor expansion of (/ y x) in x
0.278 * [taylor]: Taking taylor expansion of y in x
0.279 * [backup-simplify]: Simplify y into y
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (/ y 1) into y
0.279 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.279 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.279 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.279 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.279 * [taylor]: Taking taylor expansion of 0.5 in x
0.279 * [backup-simplify]: Simplify 0.5 into 0.5
0.279 * [taylor]: Taking taylor expansion of (/ y x) in x
0.279 * [taylor]: Taking taylor expansion of y in x
0.279 * [backup-simplify]: Simplify y into y
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (/ y 1) into y
0.279 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.279 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 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
0.280 * [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 0 into 0
0.280 * [taylor]: Taking taylor expansion of 0 in y
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 0 into 0
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)) into (/ 0.5 x)
0.280 * [taylor]: Taking taylor expansion of 0 in y
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [taylor]: Taking taylor expansion of 0 in y
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y))
0.282 * * * * [progress]: [ 3 / 3 ] generating series at (2)
0.282 * [backup-simplify]: Simplify (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y))))
0.282 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0
0.282 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y
0.282 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
0.282 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.283 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.283 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) 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 (/ x y) in y
0.283 * [taylor]: Taking taylor expansion of x in y
0.283 * [backup-simplify]: Simplify x into x
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 * [backup-simplify]: Simplify (/ x 1) into x
0.283 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.283 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.283 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
0.283 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) 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 (/ x y) in y
0.283 * [taylor]: Taking taylor expansion of x in y
0.283 * [backup-simplify]: Simplify x into x
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 * [backup-simplify]: Simplify (/ x 1) into x
0.283 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.283 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
0.284 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.284 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
0.284 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
0.284 * [taylor]: Taking taylor expansion of 0.5 in y
0.284 * [backup-simplify]: Simplify 0.5 into 0.5
0.284 * [taylor]: Taking taylor expansion of (/ x y) in y
0.284 * [taylor]: Taking taylor expansion of x in y
0.284 * [backup-simplify]: Simplify x into x
0.284 * [taylor]: Taking taylor expansion of y in y
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (/ x 1) into x
0.284 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
0.284 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
0.284 * [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))))
0.284 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x
0.284 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.285 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.285 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.285 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.285 * [taylor]: Taking taylor expansion of 0.5 in x
0.285 * [backup-simplify]: Simplify 0.5 into 0.5
0.285 * [taylor]: Taking taylor expansion of (/ x y) in x
0.285 * [taylor]: Taking taylor expansion of x in x
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [taylor]: Taking taylor expansion of y in x
0.285 * [backup-simplify]: Simplify y into y
0.285 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.285 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.285 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.285 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.285 * [taylor]: Taking taylor expansion of 0.5 in x
0.285 * [backup-simplify]: Simplify 0.5 into 0.5
0.285 * [taylor]: Taking taylor expansion of (/ x y) in x
0.285 * [taylor]: Taking taylor expansion of x in x
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [taylor]: Taking taylor expansion of y in x
0.285 * [backup-simplify]: Simplify y into y
0.285 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.285 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.286 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.286 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.286 * [taylor]: Taking taylor expansion of 0.5 in x
0.286 * [backup-simplify]: Simplify 0.5 into 0.5
0.286 * [taylor]: Taking taylor expansion of (/ x y) in x
0.286 * [taylor]: Taking taylor expansion of x in x
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [taylor]: Taking taylor expansion of y in x
0.286 * [backup-simplify]: Simplify y into y
0.286 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.286 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.286 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.286 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0
0.286 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x
0.286 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
0.286 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
0.286 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.287 * [taylor]: Taking taylor expansion of 0.5 in x
0.287 * [backup-simplify]: Simplify 0.5 into 0.5
0.287 * [taylor]: Taking taylor expansion of (/ x y) in x
0.287 * [taylor]: Taking taylor expansion of x in x
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [taylor]: Taking taylor expansion of y in x
0.287 * [backup-simplify]: Simplify y into y
0.287 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.287 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.287 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
0.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.287 * [taylor]: Taking taylor expansion of 0.5 in x
0.287 * [backup-simplify]: Simplify 0.5 into 0.5
0.287 * [taylor]: Taking taylor expansion of (/ x y) in x
0.287 * [taylor]: Taking taylor expansion of x in x
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [taylor]: Taking taylor expansion of y in x
0.287 * [backup-simplify]: Simplify y into y
0.287 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.287 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.288 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
0.288 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
0.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
0.288 * [taylor]: Taking taylor expansion of 0.5 in x
0.288 * [backup-simplify]: Simplify 0.5 into 0.5
0.288 * [taylor]: Taking taylor expansion of (/ x y) in x
0.288 * [taylor]: Taking taylor expansion of x in x
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [taylor]: Taking taylor expansion of y in x
0.288 * [backup-simplify]: Simplify y into y
0.288 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.288 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
0.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
0.288 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0
0.289 * [taylor]: Taking taylor expansion of 1.0 in y
0.289 * [backup-simplify]: Simplify 1.0 into 1.0
0.289 * [backup-simplify]: Simplify 1.0 into 1.0
0.289 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.289 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.290 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.291 * [backup-simplify]: Simplify (+ 0) into 0
0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.293 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.293 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) 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 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
0.296 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
0.297 * [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)))
0.297 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.298 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.299 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
0.299 * [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)))
0.299 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y
0.299 * [taylor]: Taking taylor expansion of 0.125 in y
0.299 * [backup-simplify]: Simplify 0.125 into 0.125
0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.299 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.299 * [taylor]: Taking taylor expansion of y in y
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (* 1 1) into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
0.307 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.308 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
0.308 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
0.309 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.310 * [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
0.310 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.311 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.312 * [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
0.312 * [taylor]: Taking taylor expansion of 0 in y
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1.0 into 1.0
0.312 * [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))))
0.312 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0
0.312 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y
0.312 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.312 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
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
0.313 * [backup-simplify]: Simplify x into x
0.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.313 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.313 * [taylor]: Taking taylor expansion of (cos (* 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
0.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.313 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.313 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 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
0.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.313 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.313 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0
0.313 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.314 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.314 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.314 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.314 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.314 * [taylor]: Taking taylor expansion of 0.5 in x
0.314 * [backup-simplify]: Simplify 0.5 into 0.5
0.314 * [taylor]: Taking taylor expansion of (/ y x) in x
0.314 * [taylor]: Taking taylor expansion of y in x
0.314 * [backup-simplify]: Simplify y into y
0.314 * [taylor]: Taking taylor expansion of x in x
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (/ y 1) into y
0.314 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.314 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.314 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.314 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.314 * [taylor]: Taking taylor expansion of 0.5 in x
0.314 * [backup-simplify]: Simplify 0.5 into 0.5
0.314 * [taylor]: Taking taylor expansion of (/ y x) in x
0.314 * [taylor]: Taking taylor expansion of y in x
0.314 * [backup-simplify]: Simplify y into y
0.314 * [taylor]: Taking taylor expansion of x in x
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (/ y 1) into y
0.314 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.314 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.314 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.314 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.314 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.314 * [taylor]: Taking taylor expansion of 0.5 in x
0.314 * [backup-simplify]: Simplify 0.5 into 0.5
0.314 * [taylor]: Taking taylor expansion of (/ y x) in x
0.314 * [taylor]: Taking taylor expansion of y in x
0.314 * [backup-simplify]: Simplify y into y
0.314 * [taylor]: Taking taylor expansion of x in x
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (/ y 1) into y
0.315 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.315 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.315 * [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))))
0.315 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.315 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.315 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.315 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.315 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.315 * [taylor]: Taking taylor expansion of 0.5 in x
0.315 * [backup-simplify]: Simplify 0.5 into 0.5
0.315 * [taylor]: Taking taylor expansion of (/ y x) in x
0.315 * [taylor]: Taking taylor expansion of y in x
0.315 * [backup-simplify]: Simplify y into y
0.315 * [taylor]: Taking taylor expansion of x in x
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify (/ y 1) into y
0.315 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.315 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.315 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.315 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.315 * [taylor]: Taking taylor expansion of 0.5 in x
0.315 * [backup-simplify]: Simplify 0.5 into 0.5
0.315 * [taylor]: Taking taylor expansion of (/ y x) in x
0.315 * [taylor]: Taking taylor expansion of y in x
0.315 * [backup-simplify]: Simplify y into y
0.315 * [taylor]: Taking taylor expansion of x in x
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify (/ y 1) into y
0.315 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.315 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.316 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.316 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.316 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.316 * [taylor]: Taking taylor expansion of 0.5 in x
0.316 * [backup-simplify]: Simplify 0.5 into 0.5
0.316 * [taylor]: Taking taylor expansion of (/ y x) in x
0.316 * [taylor]: Taking taylor expansion of y in x
0.316 * [backup-simplify]: Simplify y into y
0.316 * [taylor]: Taking taylor expansion of x in x
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (/ y 1) into y
0.316 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.316 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.316 * [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))))
0.316 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y
0.316 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.316 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.316 * [taylor]: Taking taylor expansion of 0.5 in y
0.316 * [backup-simplify]: Simplify 0.5 into 0.5
0.316 * [taylor]: Taking taylor expansion of (/ y x) in y
0.316 * [taylor]: Taking taylor expansion of y in y
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [taylor]: Taking taylor expansion of x in y
0.316 * [backup-simplify]: Simplify x into x
0.316 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.316 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.317 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [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
0.318 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.318 * [taylor]: Taking taylor expansion of 0 in y
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (+ 0) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [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))))))) into 0
0.320 * [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
0.320 * [taylor]: Taking taylor expansion of 0 in y
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2)))
0.321 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2))
0.322 * [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
0.323 * [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
0.323 * [taylor]: Taking taylor expansion of 0 in y
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.326 * [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
0.327 * [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
0.327 * [taylor]: Taking taylor expansion of 0 in y
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [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)
0.328 * [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))))
0.328 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0
0.328 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y
0.328 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
0.328 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.328 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.328 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.328 * [taylor]: Taking taylor expansion of 0.5 in y
0.328 * [backup-simplify]: Simplify 0.5 into 0.5
0.328 * [taylor]: Taking taylor expansion of (/ y x) in y
0.328 * [taylor]: Taking taylor expansion of y in y
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [taylor]: Taking taylor expansion of x in y
0.328 * [backup-simplify]: Simplify x into x
0.328 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.328 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.328 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.328 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.328 * [taylor]: Taking taylor expansion of 0.5 in y
0.328 * [backup-simplify]: Simplify 0.5 into 0.5
0.328 * [taylor]: Taking taylor expansion of (/ y x) in y
0.328 * [taylor]: Taking taylor expansion of y in y
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.329 * [taylor]: Taking taylor expansion of x in y
0.329 * [backup-simplify]: Simplify x into x
0.329 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.329 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.329 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
0.329 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
0.329 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.329 * [taylor]: Taking taylor expansion of 0.5 in y
0.329 * [backup-simplify]: Simplify 0.5 into 0.5
0.329 * [taylor]: Taking taylor expansion of (/ y x) in y
0.329 * [taylor]: Taking taylor expansion of y in y
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [taylor]: Taking taylor expansion of x in y
0.329 * [backup-simplify]: Simplify x into x
0.329 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.329 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
0.330 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0
0.330 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.330 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.330 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.330 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.330 * [taylor]: Taking taylor expansion of 0.5 in x
0.330 * [backup-simplify]: Simplify 0.5 into 0.5
0.330 * [taylor]: Taking taylor expansion of (/ y x) in x
0.330 * [taylor]: Taking taylor expansion of y in x
0.330 * [backup-simplify]: Simplify y into y
0.330 * [taylor]: Taking taylor expansion of x in x
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (/ y 1) into y
0.330 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.330 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.330 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.330 * [taylor]: Taking taylor expansion of 0.5 in x
0.330 * [backup-simplify]: Simplify 0.5 into 0.5
0.330 * [taylor]: Taking taylor expansion of (/ y x) in x
0.330 * [taylor]: Taking taylor expansion of y in x
0.330 * [backup-simplify]: Simplify y into y
0.330 * [taylor]: Taking taylor expansion of x in x
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (/ y 1) into y
0.331 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.331 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.331 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.331 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.331 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.331 * [taylor]: Taking taylor expansion of 0.5 in x
0.331 * [backup-simplify]: Simplify 0.5 into 0.5
0.331 * [taylor]: Taking taylor expansion of (/ y x) in x
0.331 * [taylor]: Taking taylor expansion of y in x
0.331 * [backup-simplify]: Simplify y into y
0.331 * [taylor]: Taking taylor expansion of x in x
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (/ y 1) into y
0.331 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.331 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.332 * [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))))
0.332 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x
0.332 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
0.332 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.332 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.332 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.332 * [taylor]: Taking taylor expansion of 0.5 in x
0.332 * [backup-simplify]: Simplify 0.5 into 0.5
0.332 * [taylor]: Taking taylor expansion of (/ y x) in x
0.332 * [taylor]: Taking taylor expansion of y in x
0.332 * [backup-simplify]: Simplify y into y
0.332 * [taylor]: Taking taylor expansion of x in x
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (/ y 1) into y
0.332 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.332 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.332 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
0.332 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.332 * [taylor]: Taking taylor expansion of 0.5 in x
0.332 * [backup-simplify]: Simplify 0.5 into 0.5
0.332 * [taylor]: Taking taylor expansion of (/ y x) in x
0.332 * [taylor]: Taking taylor expansion of y in x
0.332 * [backup-simplify]: Simplify y into y
0.332 * [taylor]: Taking taylor expansion of x in x
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (/ y 1) into y
0.333 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.333 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
0.333 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
0.333 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
0.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
0.333 * [taylor]: Taking taylor expansion of 0.5 in x
0.333 * [backup-simplify]: Simplify 0.5 into 0.5
0.333 * [taylor]: Taking taylor expansion of (/ y x) in x
0.333 * [taylor]: Taking taylor expansion of y in x
0.333 * [backup-simplify]: Simplify y into y
0.333 * [taylor]: Taking taylor expansion of x in x
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (/ y 1) into y
0.333 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
0.333 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
0.334 * [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))))
0.334 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y
0.334 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
0.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
0.334 * [taylor]: Taking taylor expansion of 0.5 in y
0.334 * [backup-simplify]: Simplify 0.5 into 0.5
0.334 * [taylor]: Taking taylor expansion of (/ y x) in y
0.334 * [taylor]: Taking taylor expansion of y in y
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [taylor]: Taking taylor expansion of x in y
0.334 * [backup-simplify]: Simplify x into x
0.334 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.334 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [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
0.336 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0
0.336 * [taylor]: Taking taylor expansion of 0 in y
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (+ 0) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [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
0.338 * [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
0.338 * [taylor]: Taking taylor expansion of 0 in y
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2)))
0.340 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2))
0.340 * [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
0.341 * [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
0.341 * [taylor]: Taking taylor expansion of 0 in y
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
0.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
0.342 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [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
0.345 * [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
0.345 * [taylor]: Taking taylor expansion of 0 in y
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [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)
0.346 * * * [progress]: simplifying candidates
0.347 * [simplify]: Simplifying:
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (log (sin (/ x (* y 2.0))))
  (exp (sin (/ x (* y 2.0))))
  (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))
  (cbrt (sin (/ x (* y 2.0))))
  (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  (- (log (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))))
  (log (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (exp (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (/ (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))
  (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))))
  (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (* (* (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
  (- (tan (/ x (* y 2.0))))
  (- (sin (/ x (* y 2.0))))
  (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))))
  (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))
  (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0)))))
  (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))
  (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1)
  (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
  (/ (sqrt (tan (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))))
  (/ (sqrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))
  (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))
  (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))
  (/ (sqrt (tan (/ x (* y 2.0)))) 1)
  (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
  (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))))
  (/ (tan (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0)))))
  (/ 1 (sqrt (sin (/ x (* y 2.0)))))
  (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0)))))
  (/ 1 1)
  (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
  (/ 1 (sin (/ x (* y 2.0))))
  (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
  (/ (tan (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))))
  (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0)))))
  (/ (tan (/ x (* y 2.0))) 1)
  (/ (sin (/ x (* y 2.0))) (cbrt (tan (/ x (* y 2.0)))))
  (/ (sin (/ x (* y 2.0))) (sqrt (tan (/ x (* y 2.0)))))
  (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
  (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (* 0.5 (/ x y))
  (* 0.5 (/ x y))
  1.0
  (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1)
  (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1)
0.348 * * [simplify]: iteration 0: 77 enodes
0.372 * * [simplify]: iteration 1: 144 enodes
0.427 * * [simplify]: iteration 2: 412 enodes
0.657 * * [simplify]: iteration 3: 1605 enodes
1.304 * * [simplify]: iteration complete: 5000 enodes
1.304 * * [simplify]: Extracting #0: cost 49 inf + 0
1.305 * * [simplify]: Extracting #1: cost 414 inf + 3
1.309 * * [simplify]: Extracting #2: cost 1111 inf + 1254
1.319 * * [simplify]: Extracting #3: cost 1617 inf + 9985
1.338 * * [simplify]: Extracting #4: cost 1244 inf + 75736
1.376 * * [simplify]: Extracting #5: cost 468 inf + 300867
1.434 * * [simplify]: Extracting #6: cost 41 inf + 462972
1.502 * * [simplify]: Extracting #7: cost 0 inf + 477600
1.592 * [simplify]: Simplified to:
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (log (sin (/ x (* 2.0 y))))
  (exp (sin (/ x (* 2.0 y))))
  (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))
  (cbrt (sin (/ x (* 2.0 y))))
  (* (* (sin (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y))))
  (sqrt (sin (/ x (* 2.0 y))))
  (sqrt (sin (/ x (* 2.0 y))))
  (log (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (log (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (exp (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))))
  (* (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))))
  (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))))
  (sqrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (sqrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (- (tan (/ x (* 2.0 y))))
  (- (sin (/ x (* 2.0 y))))
  (* (/ (cbrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (/ (cbrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))))
  (/ (cbrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))
  (/ (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (sqrt (sin (/ x (* 2.0 y)))))
  (/ (cbrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (/ (cbrt (tan (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y))))
  (/ (sqrt (tan (/ x (* 2.0 y)))) (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))))
  (/ (sqrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))
  (/ (sqrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))))
  (/ (sqrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))))
  (sqrt (tan (/ x (* 2.0 y))))
  (/ (sqrt (tan (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y))))
  (/ 1 (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))))
  (/ (tan (/ x (* 2.0 y))) (cbrt (sin (/ x (* 2.0 y)))))
  (/ 1 (sqrt (sin (/ x (* 2.0 y)))))
  (/ (tan (/ x (* 2.0 y))) (sqrt (sin (/ x (* 2.0 y)))))
  1
  (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
  (/ 1 (sin (/ x (* 2.0 y))))
  (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y))))
  (/ (tan (/ x (* 2.0 y))) (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))))
  (/ (tan (/ x (* 2.0 y))) (sqrt (sin (/ x (* 2.0 y)))))
  (tan (/ x (* 2.0 y)))
  (/ (sin (/ x (* 2.0 y))) (cbrt (tan (/ x (* 2.0 y)))))
  (/ (sin (/ x (* 2.0 y))) (sqrt (tan (/ x (* 2.0 y)))))
  (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y))))
  (* (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y))))
  0
  (+ (* (/ x y) 0.5) (* (* (* 0.04166666666666667 (/ x y)) (/ x y)) (/ x y)))
  (+ (* (/ x y) 0.5) (* (* (* 0.04166666666666667 (/ x y)) (/ x y)) (/ x y)))
  0
  (* (/ x y) 0.5)
  (* (/ x y) 0.5)
  1.0
  (+ (* (* 0.125 (/ x y)) (/ x y)) 1)
  (+ (* (* 0.125 (/ x y)) (/ x y)) 1)
1.595 * * * [progress]: adding candidates to table
1.886 * * [progress]: iteration 2 / 4
1.886 * * * [progress]: picking best candidate
1.961 * * * * [pick]: Picked  #<alt (λ (x y) 1.0)>
1.961 * * * [progress]: localizing error
1.962 * * * [progress]: generating rewritten candidates
1.962 * * * [progress]: generating series expansions
1.962 * * * [progress]: simplifying candidates
1.962 * [simplify]: Simplifying:
  
1.962 * * [simplify]: iteration 0: 0 enodes
1.962 * * [simplify]: iteration complete: 0 enodes
1.962 * * [simplify]: Extracting #0: cost 0 inf + 0
1.962 * [simplify]: Simplified to:
  
1.962 * * * [progress]: adding candidates to table
1.963 * * [progress]: iteration 3 / 4
1.963 * * * [progress]: picking best candidate
2.037 * * * * [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)))))))>
2.037 * * * [progress]: localizing error
2.111 * * * [progress]: generating rewritten candidates
2.111 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
2.113 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1)
2.116 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
2.118 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
2.122 * * * [progress]: generating series expansions
2.122 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
2.122 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
2.122 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
2.122 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
2.122 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.122 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
2.122 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.123 * [taylor]: Taking taylor expansion of 0.5 in y
2.123 * [backup-simplify]: Simplify 0.5 into 0.5
2.123 * [taylor]: Taking taylor expansion of (/ x y) in y
2.123 * [taylor]: Taking taylor expansion of x in y
2.123 * [backup-simplify]: Simplify x into x
2.123 * [taylor]: Taking taylor expansion of y in y
2.123 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify 1 into 1
2.123 * [backup-simplify]: Simplify (/ x 1) into x
2.123 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.123 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
2.123 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
2.123 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.123 * [taylor]: Taking taylor expansion of 0.5 in y
2.123 * [backup-simplify]: Simplify 0.5 into 0.5
2.123 * [taylor]: Taking taylor expansion of (/ x y) in y
2.123 * [taylor]: Taking taylor expansion of x in y
2.123 * [backup-simplify]: Simplify x into x
2.123 * [taylor]: Taking taylor expansion of y in y
2.123 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify 1 into 1
2.123 * [backup-simplify]: Simplify (/ x 1) into x
2.123 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.123 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
2.123 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.123 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.123 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.123 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.123 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.123 * [taylor]: Taking taylor expansion of 0.5 in x
2.123 * [backup-simplify]: Simplify 0.5 into 0.5
2.123 * [taylor]: Taking taylor expansion of (/ x y) in x
2.123 * [taylor]: Taking taylor expansion of x in x
2.123 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify 1 into 1
2.123 * [taylor]: Taking taylor expansion of y in x
2.123 * [backup-simplify]: Simplify y into y
2.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.123 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.123 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.124 * [taylor]: Taking taylor expansion of 0.5 in x
2.124 * [backup-simplify]: Simplify 0.5 into 0.5
2.124 * [taylor]: Taking taylor expansion of (/ x y) in x
2.124 * [taylor]: Taking taylor expansion of x in x
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 1 into 1
2.124 * [taylor]: Taking taylor expansion of y in x
2.124 * [backup-simplify]: Simplify y into y
2.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.124 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.124 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.124 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.124 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.124 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.124 * [taylor]: Taking taylor expansion of 0.5 in x
2.124 * [backup-simplify]: Simplify 0.5 into 0.5
2.124 * [taylor]: Taking taylor expansion of (/ x y) in x
2.124 * [taylor]: Taking taylor expansion of x in x
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 1 into 1
2.124 * [taylor]: Taking taylor expansion of y in x
2.124 * [backup-simplify]: Simplify y into y
2.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.124 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.124 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.124 * [taylor]: Taking taylor expansion of 0.5 in x
2.124 * [backup-simplify]: Simplify 0.5 into 0.5
2.124 * [taylor]: Taking taylor expansion of (/ x y) in x
2.124 * [taylor]: Taking taylor expansion of x in x
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 1 into 1
2.124 * [taylor]: Taking taylor expansion of y in x
2.124 * [backup-simplify]: Simplify y into y
2.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.125 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.125 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.125 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
2.125 * [taylor]: Taking taylor expansion of 0.5 in y
2.125 * [backup-simplify]: Simplify 0.5 into 0.5
2.125 * [taylor]: Taking taylor expansion of y in y
2.125 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify 1 into 1
2.126 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
2.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
2.126 * [backup-simplify]: Simplify 0 into 0
2.127 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
2.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
2.127 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.128 * [backup-simplify]: Simplify (+ 0) into 0
2.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
2.128 * [taylor]: Taking taylor expansion of 0 in y
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
2.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
2.131 * [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)))
2.131 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
2.131 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
2.131 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
2.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
2.131 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.131 * [taylor]: Taking taylor expansion of y in y
2.131 * [backup-simplify]: Simplify 0 into 0
2.131 * [backup-simplify]: Simplify 1 into 1
2.132 * [backup-simplify]: Simplify (* 1 1) into 1
2.132 * [backup-simplify]: Simplify (* 1 1) into 1
2.132 * [backup-simplify]: Simplify (/ 1 1) into 1
2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.137 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.138 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
2.138 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.138 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.138 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.138 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.138 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.138 * [taylor]: Taking taylor expansion of 0.5 in y
2.138 * [backup-simplify]: Simplify 0.5 into 0.5
2.138 * [taylor]: Taking taylor expansion of (/ y x) in y
2.138 * [taylor]: Taking taylor expansion of y in y
2.138 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify 1 into 1
2.138 * [taylor]: Taking taylor expansion of x in y
2.138 * [backup-simplify]: Simplify x into x
2.138 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.138 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.138 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.138 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.138 * [taylor]: Taking taylor expansion of 0.5 in y
2.138 * [backup-simplify]: Simplify 0.5 into 0.5
2.138 * [taylor]: Taking taylor expansion of (/ y x) in y
2.138 * [taylor]: Taking taylor expansion of y in y
2.138 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify 1 into 1
2.138 * [taylor]: Taking taylor expansion of x in y
2.138 * [backup-simplify]: Simplify x into x
2.138 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.138 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.139 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.139 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.139 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.139 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.139 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.139 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.139 * [taylor]: Taking taylor expansion of 0.5 in x
2.139 * [backup-simplify]: Simplify 0.5 into 0.5
2.139 * [taylor]: Taking taylor expansion of (/ y x) in x
2.139 * [taylor]: Taking taylor expansion of y in x
2.139 * [backup-simplify]: Simplify y into y
2.139 * [taylor]: Taking taylor expansion of x in x
2.139 * [backup-simplify]: Simplify 0 into 0
2.139 * [backup-simplify]: Simplify 1 into 1
2.139 * [backup-simplify]: Simplify (/ y 1) into y
2.139 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.139 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.139 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.139 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.139 * [taylor]: Taking taylor expansion of 0.5 in x
2.139 * [backup-simplify]: Simplify 0.5 into 0.5
2.139 * [taylor]: Taking taylor expansion of (/ y x) in x
2.139 * [taylor]: Taking taylor expansion of y in x
2.139 * [backup-simplify]: Simplify y into y
2.139 * [taylor]: Taking taylor expansion of x in x
2.139 * [backup-simplify]: Simplify 0 into 0
2.139 * [backup-simplify]: Simplify 1 into 1
2.139 * [backup-simplify]: Simplify (/ y 1) into y
2.139 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.139 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.139 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.139 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.140 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.140 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.140 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.140 * [taylor]: Taking taylor expansion of 0.5 in x
2.140 * [backup-simplify]: Simplify 0.5 into 0.5
2.140 * [taylor]: Taking taylor expansion of (/ y x) in x
2.140 * [taylor]: Taking taylor expansion of y in x
2.140 * [backup-simplify]: Simplify y into y
2.140 * [taylor]: Taking taylor expansion of x in x
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 1 into 1
2.140 * [backup-simplify]: Simplify (/ y 1) into y
2.140 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.140 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.140 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.140 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.140 * [taylor]: Taking taylor expansion of 0.5 in x
2.140 * [backup-simplify]: Simplify 0.5 into 0.5
2.140 * [taylor]: Taking taylor expansion of (/ y x) in x
2.140 * [taylor]: Taking taylor expansion of y in x
2.140 * [backup-simplify]: Simplify y into y
2.140 * [taylor]: Taking taylor expansion of x in x
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 1 into 1
2.140 * [backup-simplify]: Simplify (/ y 1) into y
2.140 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.140 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.140 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.140 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.140 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.140 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.140 * [taylor]: Taking taylor expansion of 0.5 in y
2.140 * [backup-simplify]: Simplify 0.5 into 0.5
2.140 * [taylor]: Taking taylor expansion of (/ y x) in y
2.140 * [taylor]: Taking taylor expansion of y in y
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 1 into 1
2.140 * [taylor]: Taking taylor expansion of x in y
2.140 * [backup-simplify]: Simplify x into x
2.140 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.141 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.141 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.141 * [taylor]: Taking taylor expansion of 0.5 in y
2.141 * [backup-simplify]: Simplify 0.5 into 0.5
2.141 * [taylor]: Taking taylor expansion of (/ y x) in y
2.141 * [taylor]: Taking taylor expansion of y in y
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [taylor]: Taking taylor expansion of x in y
2.141 * [backup-simplify]: Simplify x into x
2.141 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.141 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.141 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.141 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.141 * [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
2.141 * [taylor]: Taking taylor expansion of 0 in y
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.142 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.142 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.142 * [backup-simplify]: Simplify (+ 0) into 0
2.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [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
2.143 * [taylor]: Taking taylor expansion of 0 in y
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.144 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.145 * [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)))
2.146 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.146 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.146 * [taylor]: Taking taylor expansion of 0 in y
2.146 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.147 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.148 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.148 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.148 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.149 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.150 * [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
2.150 * [backup-simplify]: Simplify 0 into 0
2.150 * [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
2.150 * [taylor]: Taking taylor expansion of 0 in y
2.150 * [backup-simplify]: Simplify 0 into 0
2.150 * [backup-simplify]: Simplify 0 into 0
2.150 * [backup-simplify]: Simplify 0 into 0
2.151 * [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))))
2.151 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
2.151 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.151 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.151 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.151 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.151 * [taylor]: Taking taylor expansion of 0.5 in y
2.151 * [backup-simplify]: Simplify 0.5 into 0.5
2.151 * [taylor]: Taking taylor expansion of (/ y x) in y
2.151 * [taylor]: Taking taylor expansion of y in y
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify 1 into 1
2.151 * [taylor]: Taking taylor expansion of x in y
2.151 * [backup-simplify]: Simplify x into x
2.151 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.151 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.151 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.151 * [taylor]: Taking taylor expansion of 0.5 in y
2.151 * [backup-simplify]: Simplify 0.5 into 0.5
2.151 * [taylor]: Taking taylor expansion of (/ y x) in y
2.151 * [taylor]: Taking taylor expansion of y in y
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify 1 into 1
2.151 * [taylor]: Taking taylor expansion of x in y
2.151 * [backup-simplify]: Simplify x into x
2.151 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.151 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.151 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.152 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.152 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.152 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.152 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.152 * [taylor]: Taking taylor expansion of 0.5 in x
2.152 * [backup-simplify]: Simplify 0.5 into 0.5
2.152 * [taylor]: Taking taylor expansion of (/ y x) in x
2.152 * [taylor]: Taking taylor expansion of y in x
2.152 * [backup-simplify]: Simplify y into y
2.152 * [taylor]: Taking taylor expansion of x in x
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 1 into 1
2.152 * [backup-simplify]: Simplify (/ y 1) into y
2.152 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.152 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.152 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.152 * [taylor]: Taking taylor expansion of 0.5 in x
2.152 * [backup-simplify]: Simplify 0.5 into 0.5
2.152 * [taylor]: Taking taylor expansion of (/ y x) in x
2.152 * [taylor]: Taking taylor expansion of y in x
2.152 * [backup-simplify]: Simplify y into y
2.152 * [taylor]: Taking taylor expansion of x in x
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 1 into 1
2.152 * [backup-simplify]: Simplify (/ y 1) into y
2.152 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.152 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.152 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.152 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.152 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.152 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.152 * [taylor]: Taking taylor expansion of 0.5 in x
2.152 * [backup-simplify]: Simplify 0.5 into 0.5
2.152 * [taylor]: Taking taylor expansion of (/ y x) in x
2.152 * [taylor]: Taking taylor expansion of y in x
2.153 * [backup-simplify]: Simplify y into y
2.153 * [taylor]: Taking taylor expansion of x in x
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 1 into 1
2.153 * [backup-simplify]: Simplify (/ y 1) into y
2.153 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.153 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.153 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.153 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.153 * [taylor]: Taking taylor expansion of 0.5 in x
2.153 * [backup-simplify]: Simplify 0.5 into 0.5
2.153 * [taylor]: Taking taylor expansion of (/ y x) in x
2.153 * [taylor]: Taking taylor expansion of y in x
2.153 * [backup-simplify]: Simplify y into y
2.153 * [taylor]: Taking taylor expansion of x in x
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 1 into 1
2.153 * [backup-simplify]: Simplify (/ y 1) into y
2.153 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.153 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.153 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.153 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.153 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.153 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.153 * [taylor]: Taking taylor expansion of 0.5 in y
2.153 * [backup-simplify]: Simplify 0.5 into 0.5
2.153 * [taylor]: Taking taylor expansion of (/ y x) in y
2.153 * [taylor]: Taking taylor expansion of y in y
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 1 into 1
2.153 * [taylor]: Taking taylor expansion of x in y
2.153 * [backup-simplify]: Simplify x into x
2.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.153 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.153 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.153 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.153 * [taylor]: Taking taylor expansion of 0.5 in y
2.153 * [backup-simplify]: Simplify 0.5 into 0.5
2.153 * [taylor]: Taking taylor expansion of (/ y x) in y
2.153 * [taylor]: Taking taylor expansion of y in y
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 1 into 1
2.154 * [taylor]: Taking taylor expansion of x in y
2.154 * [backup-simplify]: Simplify x into x
2.154 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.154 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.154 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.154 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.154 * [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
2.154 * [taylor]: Taking taylor expansion of 0 in y
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.155 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.155 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.155 * [backup-simplify]: Simplify (+ 0) into 0
2.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.156 * [backup-simplify]: Simplify 0 into 0
2.156 * [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
2.156 * [taylor]: Taking taylor expansion of 0 in y
2.156 * [backup-simplify]: Simplify 0 into 0
2.156 * [backup-simplify]: Simplify 0 into 0
2.156 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.157 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.158 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.158 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.159 * [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)))
2.159 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.159 * [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
2.159 * [taylor]: Taking taylor expansion of 0 in y
2.159 * [backup-simplify]: Simplify 0 into 0
2.159 * [backup-simplify]: Simplify 0 into 0
2.159 * [backup-simplify]: Simplify 0 into 0
2.159 * [backup-simplify]: Simplify 0 into 0
2.159 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.160 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.161 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.161 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.161 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.162 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.163 * [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
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [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
2.163 * [taylor]: Taking taylor expansion of 0 in y
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify 0 into 0
2.164 * [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))))
2.164 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1)
2.164 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
2.164 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
2.164 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
2.164 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.164 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
2.164 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.164 * [taylor]: Taking taylor expansion of 0.5 in y
2.164 * [backup-simplify]: Simplify 0.5 into 0.5
2.164 * [taylor]: Taking taylor expansion of (/ x y) in y
2.164 * [taylor]: Taking taylor expansion of x in y
2.164 * [backup-simplify]: Simplify x into x
2.164 * [taylor]: Taking taylor expansion of y in y
2.164 * [backup-simplify]: Simplify 0 into 0
2.164 * [backup-simplify]: Simplify 1 into 1
2.164 * [backup-simplify]: Simplify (/ x 1) into x
2.164 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.164 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
2.164 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
2.164 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.164 * [taylor]: Taking taylor expansion of 0.5 in y
2.164 * [backup-simplify]: Simplify 0.5 into 0.5
2.164 * [taylor]: Taking taylor expansion of (/ x y) in y
2.164 * [taylor]: Taking taylor expansion of x in y
2.165 * [backup-simplify]: Simplify x into x
2.165 * [taylor]: Taking taylor expansion of y in y
2.165 * [backup-simplify]: Simplify 0 into 0
2.165 * [backup-simplify]: Simplify 1 into 1
2.165 * [backup-simplify]: Simplify (/ x 1) into x
2.165 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.165 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
2.165 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.165 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.165 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.165 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.165 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.165 * [taylor]: Taking taylor expansion of 0.5 in x
2.165 * [backup-simplify]: Simplify 0.5 into 0.5
2.165 * [taylor]: Taking taylor expansion of (/ x y) in x
2.165 * [taylor]: Taking taylor expansion of x in x
2.165 * [backup-simplify]: Simplify 0 into 0
2.165 * [backup-simplify]: Simplify 1 into 1
2.165 * [taylor]: Taking taylor expansion of y in x
2.165 * [backup-simplify]: Simplify y into y
2.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.165 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.165 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.165 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.165 * [taylor]: Taking taylor expansion of 0.5 in x
2.165 * [backup-simplify]: Simplify 0.5 into 0.5
2.165 * [taylor]: Taking taylor expansion of (/ x y) in x
2.165 * [taylor]: Taking taylor expansion of x in x
2.165 * [backup-simplify]: Simplify 0 into 0
2.165 * [backup-simplify]: Simplify 1 into 1
2.165 * [taylor]: Taking taylor expansion of y in x
2.165 * [backup-simplify]: Simplify y into y
2.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.165 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.166 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.166 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.166 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.166 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.166 * [taylor]: Taking taylor expansion of 0.5 in x
2.166 * [backup-simplify]: Simplify 0.5 into 0.5
2.166 * [taylor]: Taking taylor expansion of (/ x y) in x
2.166 * [taylor]: Taking taylor expansion of x in x
2.166 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify 1 into 1
2.166 * [taylor]: Taking taylor expansion of y in x
2.166 * [backup-simplify]: Simplify y into y
2.166 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.166 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.166 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.166 * [taylor]: Taking taylor expansion of 0.5 in x
2.166 * [backup-simplify]: Simplify 0.5 into 0.5
2.166 * [taylor]: Taking taylor expansion of (/ x y) in x
2.166 * [taylor]: Taking taylor expansion of x in x
2.166 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify 1 into 1
2.166 * [taylor]: Taking taylor expansion of y in x
2.166 * [backup-simplify]: Simplify y into y
2.166 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.166 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.166 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.166 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
2.166 * [taylor]: Taking taylor expansion of 0.5 in y
2.166 * [backup-simplify]: Simplify 0.5 into 0.5
2.166 * [taylor]: Taking taylor expansion of y in y
2.166 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify 1 into 1
2.167 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
2.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
2.167 * [backup-simplify]: Simplify 0 into 0
2.167 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
2.168 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
2.168 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.168 * [backup-simplify]: Simplify (+ 0) into 0
2.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
2.169 * [taylor]: Taking taylor expansion of 0 in y
2.169 * [backup-simplify]: Simplify 0 into 0
2.169 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.170 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.171 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
2.171 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
2.172 * [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)))
2.172 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
2.172 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
2.172 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
2.172 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.172 * [taylor]: Taking taylor expansion of y in y
2.172 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 1 into 1
2.172 * [backup-simplify]: Simplify (* 1 1) into 1
2.172 * [backup-simplify]: Simplify (* 1 1) into 1
2.174 * [backup-simplify]: Simplify (/ 1 1) into 1
2.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.179 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.179 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
2.180 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.180 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.180 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.180 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.180 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.180 * [taylor]: Taking taylor expansion of 0.5 in y
2.180 * [backup-simplify]: Simplify 0.5 into 0.5
2.180 * [taylor]: Taking taylor expansion of (/ y x) in y
2.180 * [taylor]: Taking taylor expansion of y in y
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify 1 into 1
2.180 * [taylor]: Taking taylor expansion of x in y
2.180 * [backup-simplify]: Simplify x into x
2.180 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.180 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.180 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.180 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.180 * [taylor]: Taking taylor expansion of 0.5 in y
2.180 * [backup-simplify]: Simplify 0.5 into 0.5
2.180 * [taylor]: Taking taylor expansion of (/ y x) in y
2.180 * [taylor]: Taking taylor expansion of y in y
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify 1 into 1
2.181 * [taylor]: Taking taylor expansion of x in y
2.181 * [backup-simplify]: Simplify x into x
2.181 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.181 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.181 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.181 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.181 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.181 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.181 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.181 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.181 * [taylor]: Taking taylor expansion of 0.5 in x
2.181 * [backup-simplify]: Simplify 0.5 into 0.5
2.181 * [taylor]: Taking taylor expansion of (/ y x) in x
2.181 * [taylor]: Taking taylor expansion of y in x
2.181 * [backup-simplify]: Simplify y into y
2.181 * [taylor]: Taking taylor expansion of x in x
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify 1 into 1
2.181 * [backup-simplify]: Simplify (/ y 1) into y
2.181 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.181 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.181 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.181 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.181 * [taylor]: Taking taylor expansion of 0.5 in x
2.181 * [backup-simplify]: Simplify 0.5 into 0.5
2.181 * [taylor]: Taking taylor expansion of (/ y x) in x
2.181 * [taylor]: Taking taylor expansion of y in x
2.181 * [backup-simplify]: Simplify y into y
2.181 * [taylor]: Taking taylor expansion of x in x
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify 1 into 1
2.181 * [backup-simplify]: Simplify (/ y 1) into y
2.181 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.181 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.182 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.182 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.182 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.182 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.182 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.182 * [taylor]: Taking taylor expansion of 0.5 in x
2.182 * [backup-simplify]: Simplify 0.5 into 0.5
2.182 * [taylor]: Taking taylor expansion of (/ y x) in x
2.182 * [taylor]: Taking taylor expansion of y in x
2.182 * [backup-simplify]: Simplify y into y
2.182 * [taylor]: Taking taylor expansion of x in x
2.182 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify 1 into 1
2.182 * [backup-simplify]: Simplify (/ y 1) into y
2.182 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.182 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.182 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.182 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.182 * [taylor]: Taking taylor expansion of 0.5 in x
2.182 * [backup-simplify]: Simplify 0.5 into 0.5
2.182 * [taylor]: Taking taylor expansion of (/ y x) in x
2.182 * [taylor]: Taking taylor expansion of y in x
2.182 * [backup-simplify]: Simplify y into y
2.182 * [taylor]: Taking taylor expansion of x in x
2.182 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify 1 into 1
2.182 * [backup-simplify]: Simplify (/ y 1) into y
2.182 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.182 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.182 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.182 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.182 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.182 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.182 * [taylor]: Taking taylor expansion of 0.5 in y
2.182 * [backup-simplify]: Simplify 0.5 into 0.5
2.183 * [taylor]: Taking taylor expansion of (/ y x) in y
2.183 * [taylor]: Taking taylor expansion of y in y
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify 1 into 1
2.183 * [taylor]: Taking taylor expansion of x in y
2.183 * [backup-simplify]: Simplify x into x
2.183 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.183 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.183 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.183 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.183 * [taylor]: Taking taylor expansion of 0.5 in y
2.183 * [backup-simplify]: Simplify 0.5 into 0.5
2.183 * [taylor]: Taking taylor expansion of (/ y x) in y
2.183 * [taylor]: Taking taylor expansion of y in y
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify 1 into 1
2.183 * [taylor]: Taking taylor expansion of x in y
2.183 * [backup-simplify]: Simplify x into x
2.183 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.183 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.183 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.183 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.183 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.183 * [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
2.183 * [taylor]: Taking taylor expansion of 0 in y
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.184 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.184 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.185 * [backup-simplify]: Simplify (+ 0) into 0
2.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.185 * [backup-simplify]: Simplify 0 into 0
2.185 * [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))))))) into 0
2.185 * [taylor]: Taking taylor expansion of 0 in y
2.186 * [backup-simplify]: Simplify 0 into 0
2.186 * [backup-simplify]: Simplify 0 into 0
2.186 * [backup-simplify]: Simplify 0 into 0
2.186 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.186 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.188 * [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)))
2.188 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.188 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.188 * [taylor]: Taking taylor expansion of 0 in y
2.188 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.189 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.190 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.190 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.191 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.192 * [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
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [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
2.192 * [taylor]: Taking taylor expansion of 0 in y
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.193 * [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))))
2.193 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
2.193 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.193 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.193 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.193 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.193 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.193 * [taylor]: Taking taylor expansion of 0.5 in y
2.193 * [backup-simplify]: Simplify 0.5 into 0.5
2.193 * [taylor]: Taking taylor expansion of (/ y x) in y
2.193 * [taylor]: Taking taylor expansion of y in y
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 1 into 1
2.193 * [taylor]: Taking taylor expansion of x in y
2.193 * [backup-simplify]: Simplify x into x
2.193 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.193 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.193 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.193 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.193 * [taylor]: Taking taylor expansion of 0.5 in y
2.193 * [backup-simplify]: Simplify 0.5 into 0.5
2.193 * [taylor]: Taking taylor expansion of (/ y x) in y
2.193 * [taylor]: Taking taylor expansion of y in y
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 1 into 1
2.193 * [taylor]: Taking taylor expansion of x in y
2.193 * [backup-simplify]: Simplify x into x
2.193 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.193 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.194 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.194 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.194 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.194 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.194 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.194 * [taylor]: Taking taylor expansion of 0.5 in x
2.194 * [backup-simplify]: Simplify 0.5 into 0.5
2.194 * [taylor]: Taking taylor expansion of (/ y x) in x
2.194 * [taylor]: Taking taylor expansion of y in x
2.194 * [backup-simplify]: Simplify y into y
2.194 * [taylor]: Taking taylor expansion of x in x
2.194 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify 1 into 1
2.194 * [backup-simplify]: Simplify (/ y 1) into y
2.194 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.194 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.194 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.194 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.194 * [taylor]: Taking taylor expansion of 0.5 in x
2.194 * [backup-simplify]: Simplify 0.5 into 0.5
2.194 * [taylor]: Taking taylor expansion of (/ y x) in x
2.194 * [taylor]: Taking taylor expansion of y in x
2.194 * [backup-simplify]: Simplify y into y
2.194 * [taylor]: Taking taylor expansion of x in x
2.194 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify 1 into 1
2.194 * [backup-simplify]: Simplify (/ y 1) into y
2.194 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.194 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.194 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.194 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.195 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.195 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.195 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.195 * [taylor]: Taking taylor expansion of 0.5 in x
2.195 * [backup-simplify]: Simplify 0.5 into 0.5
2.195 * [taylor]: Taking taylor expansion of (/ y x) in x
2.195 * [taylor]: Taking taylor expansion of y in x
2.195 * [backup-simplify]: Simplify y into y
2.195 * [taylor]: Taking taylor expansion of x in x
2.195 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify 1 into 1
2.195 * [backup-simplify]: Simplify (/ y 1) into y
2.195 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.195 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.195 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.195 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.195 * [taylor]: Taking taylor expansion of 0.5 in x
2.195 * [backup-simplify]: Simplify 0.5 into 0.5
2.195 * [taylor]: Taking taylor expansion of (/ y x) in x
2.195 * [taylor]: Taking taylor expansion of y in x
2.195 * [backup-simplify]: Simplify y into y
2.195 * [taylor]: Taking taylor expansion of x in x
2.195 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify 1 into 1
2.195 * [backup-simplify]: Simplify (/ y 1) into y
2.195 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.195 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.195 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.195 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.195 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.195 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.195 * [taylor]: Taking taylor expansion of 0.5 in y
2.195 * [backup-simplify]: Simplify 0.5 into 0.5
2.195 * [taylor]: Taking taylor expansion of (/ y x) in y
2.195 * [taylor]: Taking taylor expansion of y in y
2.195 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify 1 into 1
2.195 * [taylor]: Taking taylor expansion of x in y
2.195 * [backup-simplify]: Simplify x into x
2.195 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.196 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.196 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.196 * [taylor]: Taking taylor expansion of 0.5 in y
2.196 * [backup-simplify]: Simplify 0.5 into 0.5
2.196 * [taylor]: Taking taylor expansion of (/ y x) in y
2.196 * [taylor]: Taking taylor expansion of y in y
2.196 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify 1 into 1
2.196 * [taylor]: Taking taylor expansion of x in y
2.196 * [backup-simplify]: Simplify x into x
2.196 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.196 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.196 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.196 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.196 * [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
2.196 * [taylor]: Taking taylor expansion of 0 in y
2.196 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.197 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.197 * [backup-simplify]: Simplify (+ 0) into 0
2.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.198 * [backup-simplify]: Simplify 0 into 0
2.198 * [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
2.198 * [taylor]: Taking taylor expansion of 0 in y
2.198 * [backup-simplify]: Simplify 0 into 0
2.198 * [backup-simplify]: Simplify 0 into 0
2.198 * [backup-simplify]: Simplify 0 into 0
2.199 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.199 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.200 * [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)))
2.200 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.201 * [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
2.201 * [taylor]: Taking taylor expansion of 0 in y
2.201 * [backup-simplify]: Simplify 0 into 0
2.201 * [backup-simplify]: Simplify 0 into 0
2.201 * [backup-simplify]: Simplify 0 into 0
2.201 * [backup-simplify]: Simplify 0 into 0
2.201 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.203 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.203 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.203 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.204 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.205 * [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
2.205 * [backup-simplify]: Simplify 0 into 0
2.205 * [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
2.205 * [taylor]: Taking taylor expansion of 0 in y
2.205 * [backup-simplify]: Simplify 0 into 0
2.205 * [backup-simplify]: Simplify 0 into 0
2.205 * [backup-simplify]: Simplify 0 into 0
2.206 * [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))))
2.206 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
2.206 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
2.206 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
2.206 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
2.206 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.206 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
2.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.206 * [taylor]: Taking taylor expansion of 0.5 in y
2.206 * [backup-simplify]: Simplify 0.5 into 0.5
2.206 * [taylor]: Taking taylor expansion of (/ x y) in y
2.206 * [taylor]: Taking taylor expansion of x in y
2.206 * [backup-simplify]: Simplify x into x
2.206 * [taylor]: Taking taylor expansion of y in y
2.206 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify 1 into 1
2.206 * [backup-simplify]: Simplify (/ x 1) into x
2.206 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.206 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
2.206 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
2.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.206 * [taylor]: Taking taylor expansion of 0.5 in y
2.206 * [backup-simplify]: Simplify 0.5 into 0.5
2.206 * [taylor]: Taking taylor expansion of (/ x y) in y
2.206 * [taylor]: Taking taylor expansion of x in y
2.206 * [backup-simplify]: Simplify x into x
2.206 * [taylor]: Taking taylor expansion of y in y
2.206 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify 1 into 1
2.206 * [backup-simplify]: Simplify (/ x 1) into x
2.206 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.206 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
2.207 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.207 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.207 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.207 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.207 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.207 * [taylor]: Taking taylor expansion of 0.5 in x
2.207 * [backup-simplify]: Simplify 0.5 into 0.5
2.207 * [taylor]: Taking taylor expansion of (/ x y) in x
2.207 * [taylor]: Taking taylor expansion of x in x
2.207 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify 1 into 1
2.207 * [taylor]: Taking taylor expansion of y in x
2.207 * [backup-simplify]: Simplify y into y
2.207 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.207 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.207 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.207 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.207 * [taylor]: Taking taylor expansion of 0.5 in x
2.207 * [backup-simplify]: Simplify 0.5 into 0.5
2.207 * [taylor]: Taking taylor expansion of (/ x y) in x
2.207 * [taylor]: Taking taylor expansion of x in x
2.207 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify 1 into 1
2.207 * [taylor]: Taking taylor expansion of y in x
2.207 * [backup-simplify]: Simplify y into y
2.207 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.207 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.207 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.207 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
2.207 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
2.207 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.207 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.207 * [taylor]: Taking taylor expansion of 0.5 in x
2.208 * [backup-simplify]: Simplify 0.5 into 0.5
2.208 * [taylor]: Taking taylor expansion of (/ x y) in x
2.208 * [taylor]: Taking taylor expansion of x in x
2.208 * [backup-simplify]: Simplify 0 into 0
2.208 * [backup-simplify]: Simplify 1 into 1
2.208 * [taylor]: Taking taylor expansion of y in x
2.208 * [backup-simplify]: Simplify y into y
2.208 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.208 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.208 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
2.208 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.208 * [taylor]: Taking taylor expansion of 0.5 in x
2.208 * [backup-simplify]: Simplify 0.5 into 0.5
2.208 * [taylor]: Taking taylor expansion of (/ x y) in x
2.208 * [taylor]: Taking taylor expansion of x in x
2.208 * [backup-simplify]: Simplify 0 into 0
2.208 * [backup-simplify]: Simplify 1 into 1
2.208 * [taylor]: Taking taylor expansion of y in x
2.208 * [backup-simplify]: Simplify y into y
2.208 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.208 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.208 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.208 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
2.208 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
2.208 * [taylor]: Taking taylor expansion of 0.5 in y
2.208 * [backup-simplify]: Simplify 0.5 into 0.5
2.208 * [taylor]: Taking taylor expansion of y in y
2.208 * [backup-simplify]: Simplify 0 into 0
2.208 * [backup-simplify]: Simplify 1 into 1
2.209 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
2.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
2.209 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
2.210 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
2.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.210 * [backup-simplify]: Simplify (+ 0) into 0
2.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
2.211 * [taylor]: Taking taylor expansion of 0 in y
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.211 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
2.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
2.213 * [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)))
2.213 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
2.213 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
2.214 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
2.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
2.214 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.214 * [taylor]: Taking taylor expansion of y in y
2.214 * [backup-simplify]: Simplify 0 into 0
2.214 * [backup-simplify]: Simplify 1 into 1
2.214 * [backup-simplify]: Simplify (* 1 1) into 1
2.214 * [backup-simplify]: Simplify (* 1 1) into 1
2.214 * [backup-simplify]: Simplify (/ 1 1) into 1
2.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.219 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
2.220 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.220 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.220 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.220 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.220 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.220 * [taylor]: Taking taylor expansion of 0.5 in y
2.220 * [backup-simplify]: Simplify 0.5 into 0.5
2.220 * [taylor]: Taking taylor expansion of (/ y x) in y
2.220 * [taylor]: Taking taylor expansion of y in y
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 1 into 1
2.220 * [taylor]: Taking taylor expansion of x in y
2.220 * [backup-simplify]: Simplify x into x
2.220 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.220 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.221 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.221 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.221 * [taylor]: Taking taylor expansion of 0.5 in y
2.221 * [backup-simplify]: Simplify 0.5 into 0.5
2.221 * [taylor]: Taking taylor expansion of (/ y x) in y
2.221 * [taylor]: Taking taylor expansion of y in y
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 1 into 1
2.221 * [taylor]: Taking taylor expansion of x in y
2.221 * [backup-simplify]: Simplify x into x
2.221 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.221 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.221 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.221 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.221 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.221 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.221 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.221 * [taylor]: Taking taylor expansion of 0.5 in x
2.221 * [backup-simplify]: Simplify 0.5 into 0.5
2.221 * [taylor]: Taking taylor expansion of (/ y x) in x
2.221 * [taylor]: Taking taylor expansion of y in x
2.221 * [backup-simplify]: Simplify y into y
2.221 * [taylor]: Taking taylor expansion of x in x
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 1 into 1
2.221 * [backup-simplify]: Simplify (/ y 1) into y
2.221 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.221 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.221 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.221 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.221 * [taylor]: Taking taylor expansion of 0.5 in x
2.221 * [backup-simplify]: Simplify 0.5 into 0.5
2.221 * [taylor]: Taking taylor expansion of (/ y x) in x
2.221 * [taylor]: Taking taylor expansion of y in x
2.221 * [backup-simplify]: Simplify y into y
2.221 * [taylor]: Taking taylor expansion of x in x
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 1 into 1
2.221 * [backup-simplify]: Simplify (/ y 1) into y
2.222 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.222 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.222 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.222 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.222 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.222 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.222 * [taylor]: Taking taylor expansion of 0.5 in x
2.222 * [backup-simplify]: Simplify 0.5 into 0.5
2.222 * [taylor]: Taking taylor expansion of (/ y x) in x
2.222 * [taylor]: Taking taylor expansion of y in x
2.222 * [backup-simplify]: Simplify y into y
2.222 * [taylor]: Taking taylor expansion of x in x
2.222 * [backup-simplify]: Simplify 0 into 0
2.222 * [backup-simplify]: Simplify 1 into 1
2.222 * [backup-simplify]: Simplify (/ y 1) into y
2.222 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.222 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.222 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.222 * [taylor]: Taking taylor expansion of 0.5 in x
2.222 * [backup-simplify]: Simplify 0.5 into 0.5
2.222 * [taylor]: Taking taylor expansion of (/ y x) in x
2.222 * [taylor]: Taking taylor expansion of y in x
2.222 * [backup-simplify]: Simplify y into y
2.222 * [taylor]: Taking taylor expansion of x in x
2.222 * [backup-simplify]: Simplify 0 into 0
2.222 * [backup-simplify]: Simplify 1 into 1
2.222 * [backup-simplify]: Simplify (/ y 1) into y
2.222 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.222 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.222 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.223 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.223 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.223 * [taylor]: Taking taylor expansion of 0.5 in y
2.223 * [backup-simplify]: Simplify 0.5 into 0.5
2.223 * [taylor]: Taking taylor expansion of (/ y x) in y
2.223 * [taylor]: Taking taylor expansion of y in y
2.223 * [backup-simplify]: Simplify 0 into 0
2.223 * [backup-simplify]: Simplify 1 into 1
2.223 * [taylor]: Taking taylor expansion of x in y
2.223 * [backup-simplify]: Simplify x into x
2.223 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.223 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.223 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.223 * [taylor]: Taking taylor expansion of 0.5 in y
2.223 * [backup-simplify]: Simplify 0.5 into 0.5
2.223 * [taylor]: Taking taylor expansion of (/ y x) in y
2.223 * [taylor]: Taking taylor expansion of y in y
2.223 * [backup-simplify]: Simplify 0 into 0
2.223 * [backup-simplify]: Simplify 1 into 1
2.223 * [taylor]: Taking taylor expansion of x in y
2.223 * [backup-simplify]: Simplify x into x
2.223 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.223 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.223 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.223 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.223 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
2.224 * [taylor]: Taking taylor expansion of 0 in y
2.224 * [backup-simplify]: Simplify 0 into 0
2.224 * [backup-simplify]: Simplify 0 into 0
2.224 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.224 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.225 * [backup-simplify]: Simplify (+ 0) into 0
2.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.225 * [backup-simplify]: Simplify 0 into 0
2.226 * [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
2.226 * [taylor]: Taking taylor expansion of 0 in y
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.226 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.227 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.227 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.228 * [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)))
2.228 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.228 * [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
2.228 * [taylor]: Taking taylor expansion of 0 in y
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.229 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.230 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.230 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.230 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.231 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.232 * [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
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [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
2.232 * [taylor]: Taking taylor expansion of 0 in y
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify 0 into 0
2.233 * [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))))
2.233 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
2.233 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
2.233 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
2.233 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.233 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.233 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.233 * [taylor]: Taking taylor expansion of 0.5 in y
2.233 * [backup-simplify]: Simplify 0.5 into 0.5
2.233 * [taylor]: Taking taylor expansion of (/ y x) in y
2.233 * [taylor]: Taking taylor expansion of y in y
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 1 into 1
2.233 * [taylor]: Taking taylor expansion of x in y
2.233 * [backup-simplify]: Simplify x into x
2.233 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.233 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.233 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.233 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.233 * [taylor]: Taking taylor expansion of 0.5 in y
2.233 * [backup-simplify]: Simplify 0.5 into 0.5
2.233 * [taylor]: Taking taylor expansion of (/ y x) in y
2.233 * [taylor]: Taking taylor expansion of y in y
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 1 into 1
2.233 * [taylor]: Taking taylor expansion of x in y
2.233 * [backup-simplify]: Simplify x into x
2.233 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.233 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.234 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.234 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.234 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.234 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.234 * [taylor]: Taking taylor expansion of 0.5 in x
2.234 * [backup-simplify]: Simplify 0.5 into 0.5
2.234 * [taylor]: Taking taylor expansion of (/ y x) in x
2.234 * [taylor]: Taking taylor expansion of y in x
2.234 * [backup-simplify]: Simplify y into y
2.234 * [taylor]: Taking taylor expansion of x in x
2.234 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify 1 into 1
2.234 * [backup-simplify]: Simplify (/ y 1) into y
2.234 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.234 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.234 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.234 * [taylor]: Taking taylor expansion of 0.5 in x
2.234 * [backup-simplify]: Simplify 0.5 into 0.5
2.234 * [taylor]: Taking taylor expansion of (/ y x) in x
2.234 * [taylor]: Taking taylor expansion of y in x
2.234 * [backup-simplify]: Simplify y into y
2.234 * [taylor]: Taking taylor expansion of x in x
2.234 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify 1 into 1
2.234 * [backup-simplify]: Simplify (/ y 1) into y
2.234 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.234 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.234 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.234 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
2.235 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.235 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.235 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.235 * [taylor]: Taking taylor expansion of 0.5 in x
2.235 * [backup-simplify]: Simplify 0.5 into 0.5
2.235 * [taylor]: Taking taylor expansion of (/ y x) in x
2.235 * [taylor]: Taking taylor expansion of y in x
2.235 * [backup-simplify]: Simplify y into y
2.235 * [taylor]: Taking taylor expansion of x in x
2.235 * [backup-simplify]: Simplify 0 into 0
2.235 * [backup-simplify]: Simplify 1 into 1
2.235 * [backup-simplify]: Simplify (/ y 1) into y
2.235 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.235 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.235 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
2.235 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.235 * [taylor]: Taking taylor expansion of 0.5 in x
2.235 * [backup-simplify]: Simplify 0.5 into 0.5
2.235 * [taylor]: Taking taylor expansion of (/ y x) in x
2.235 * [taylor]: Taking taylor expansion of y in x
2.235 * [backup-simplify]: Simplify y into y
2.235 * [taylor]: Taking taylor expansion of x in x
2.235 * [backup-simplify]: Simplify 0 into 0
2.235 * [backup-simplify]: Simplify 1 into 1
2.235 * [backup-simplify]: Simplify (/ y 1) into y
2.235 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.235 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
2.235 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
2.235 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
2.235 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.235 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.235 * [taylor]: Taking taylor expansion of 0.5 in y
2.235 * [backup-simplify]: Simplify 0.5 into 0.5
2.235 * [taylor]: Taking taylor expansion of (/ y x) in y
2.235 * [taylor]: Taking taylor expansion of y in y
2.235 * [backup-simplify]: Simplify 0 into 0
2.235 * [backup-simplify]: Simplify 1 into 1
2.235 * [taylor]: Taking taylor expansion of x in y
2.235 * [backup-simplify]: Simplify x into x
2.235 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.235 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.236 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
2.236 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.236 * [taylor]: Taking taylor expansion of 0.5 in y
2.236 * [backup-simplify]: Simplify 0.5 into 0.5
2.236 * [taylor]: Taking taylor expansion of (/ y x) in y
2.236 * [taylor]: Taking taylor expansion of y in y
2.236 * [backup-simplify]: Simplify 0 into 0
2.236 * [backup-simplify]: Simplify 1 into 1
2.236 * [taylor]: Taking taylor expansion of x in y
2.236 * [backup-simplify]: Simplify x into x
2.236 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.236 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.236 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
2.236 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
2.236 * [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
2.236 * [taylor]: Taking taylor expansion of 0 in y
2.236 * [backup-simplify]: Simplify 0 into 0
2.236 * [backup-simplify]: Simplify 0 into 0
2.236 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.237 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.237 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.237 * [backup-simplify]: Simplify (+ 0) into 0
2.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
2.238 * [backup-simplify]: Simplify 0 into 0
2.238 * [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
2.238 * [taylor]: Taking taylor expansion of 0 in y
2.238 * [backup-simplify]: Simplify 0 into 0
2.238 * [backup-simplify]: Simplify 0 into 0
2.238 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.239 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
2.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
2.240 * [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)))
2.241 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
2.241 * [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
2.241 * [taylor]: Taking taylor expansion of 0 in y
2.241 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.242 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
2.243 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.243 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.244 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.245 * [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
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [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
2.245 * [taylor]: Taking taylor expansion of 0 in y
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify 0 into 0
2.246 * [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))))
2.246 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
2.246 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y)))
2.246 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0
2.246 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
2.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
2.246 * [taylor]: Taking taylor expansion of 0.5 in y
2.246 * [backup-simplify]: Simplify 0.5 into 0.5
2.246 * [taylor]: Taking taylor expansion of (/ x y) in y
2.246 * [taylor]: Taking taylor expansion of x in y
2.246 * [backup-simplify]: Simplify x into x
2.246 * [taylor]: Taking taylor expansion of y in y
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 1 into 1
2.246 * [backup-simplify]: Simplify (/ x 1) into x
2.246 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
2.246 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
2.246 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.246 * [taylor]: Taking taylor expansion of 0.5 in x
2.246 * [backup-simplify]: Simplify 0.5 into 0.5
2.246 * [taylor]: Taking taylor expansion of (/ x y) in x
2.246 * [taylor]: Taking taylor expansion of x in x
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 1 into 1
2.246 * [taylor]: Taking taylor expansion of y in x
2.246 * [backup-simplify]: Simplify y into y
2.246 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.246 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.246 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
2.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
2.246 * [taylor]: Taking taylor expansion of 0.5 in x
2.246 * [backup-simplify]: Simplify 0.5 into 0.5
2.246 * [taylor]: Taking taylor expansion of (/ x y) in x
2.246 * [taylor]: Taking taylor expansion of x in x
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 1 into 1
2.246 * [taylor]: Taking taylor expansion of y in x
2.246 * [backup-simplify]: Simplify y into y
2.246 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.246 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
2.246 * [taylor]: Taking taylor expansion of 0 in y
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
2.247 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y
2.247 * [taylor]: Taking taylor expansion of 0.5 in y
2.247 * [backup-simplify]: Simplify 0.5 into 0.5
2.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.247 * [taylor]: Taking taylor expansion of y in y
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify 1 into 1
2.247 * [backup-simplify]: Simplify (/ 1 1) into 1
2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.248 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
2.248 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
2.249 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.249 * [taylor]: Taking taylor expansion of 0 in y
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x)))
2.250 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
2.250 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.250 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.250 * [taylor]: Taking taylor expansion of 0.5 in y
2.250 * [backup-simplify]: Simplify 0.5 into 0.5
2.250 * [taylor]: Taking taylor expansion of (/ y x) in y
2.250 * [taylor]: Taking taylor expansion of y in y
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 1 into 1
2.250 * [taylor]: Taking taylor expansion of x in y
2.250 * [backup-simplify]: Simplify x into x
2.250 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.251 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.251 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.251 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.251 * [taylor]: Taking taylor expansion of 0.5 in x
2.251 * [backup-simplify]: Simplify 0.5 into 0.5
2.251 * [taylor]: Taking taylor expansion of (/ y x) in x
2.251 * [taylor]: Taking taylor expansion of y in x
2.251 * [backup-simplify]: Simplify y into y
2.251 * [taylor]: Taking taylor expansion of x in x
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify 1 into 1
2.251 * [backup-simplify]: Simplify (/ y 1) into y
2.251 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.251 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.251 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.251 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.251 * [taylor]: Taking taylor expansion of 0.5 in x
2.251 * [backup-simplify]: Simplify 0.5 into 0.5
2.251 * [taylor]: Taking taylor expansion of (/ y x) in x
2.251 * [taylor]: Taking taylor expansion of y in x
2.251 * [backup-simplify]: Simplify y into y
2.251 * [taylor]: Taking taylor expansion of x in x
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify 1 into 1
2.251 * [backup-simplify]: Simplify (/ y 1) into y
2.251 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.251 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.251 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.251 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.251 * [taylor]: Taking taylor expansion of 0.5 in y
2.251 * [backup-simplify]: Simplify 0.5 into 0.5
2.251 * [taylor]: Taking taylor expansion of (/ y x) in y
2.251 * [taylor]: Taking taylor expansion of y in y
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify 1 into 1
2.251 * [taylor]: Taking taylor expansion of x in y
2.251 * [backup-simplify]: Simplify x into x
2.251 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.251 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.251 * [backup-simplify]: Simplify 0 into 0
2.252 * [taylor]: Taking taylor expansion of 0 in y
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.252 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.252 * [taylor]: Taking taylor expansion of 0 in y
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify 0 into 0
2.252 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.253 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.253 * [backup-simplify]: Simplify 0 into 0
2.253 * [taylor]: Taking taylor expansion of 0 in y
2.253 * [backup-simplify]: Simplify 0 into 0
2.253 * [backup-simplify]: Simplify 0 into 0
2.253 * [backup-simplify]: Simplify 0 into 0
2.253 * [backup-simplify]: Simplify 0 into 0
2.253 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y))
2.253 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x)))
2.253 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
2.253 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.253 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.253 * [taylor]: Taking taylor expansion of 0.5 in y
2.253 * [backup-simplify]: Simplify 0.5 into 0.5
2.253 * [taylor]: Taking taylor expansion of (/ y x) in y
2.253 * [taylor]: Taking taylor expansion of y in y
2.253 * [backup-simplify]: Simplify 0 into 0
2.253 * [backup-simplify]: Simplify 1 into 1
2.253 * [taylor]: Taking taylor expansion of x in y
2.254 * [backup-simplify]: Simplify x into x
2.254 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.254 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.254 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.254 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.254 * [taylor]: Taking taylor expansion of 0.5 in x
2.254 * [backup-simplify]: Simplify 0.5 into 0.5
2.254 * [taylor]: Taking taylor expansion of (/ y x) in x
2.254 * [taylor]: Taking taylor expansion of y in x
2.254 * [backup-simplify]: Simplify y into y
2.254 * [taylor]: Taking taylor expansion of x in x
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify 1 into 1
2.254 * [backup-simplify]: Simplify (/ y 1) into y
2.254 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.254 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.254 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
2.254 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
2.254 * [taylor]: Taking taylor expansion of 0.5 in x
2.254 * [backup-simplify]: Simplify 0.5 into 0.5
2.254 * [taylor]: Taking taylor expansion of (/ y x) in x
2.254 * [taylor]: Taking taylor expansion of y in x
2.254 * [backup-simplify]: Simplify y into y
2.254 * [taylor]: Taking taylor expansion of x in x
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify 1 into 1
2.254 * [backup-simplify]: Simplify (/ y 1) into y
2.254 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
2.254 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
2.254 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
2.254 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
2.254 * [taylor]: Taking taylor expansion of 0.5 in y
2.254 * [backup-simplify]: Simplify 0.5 into 0.5
2.254 * [taylor]: Taking taylor expansion of (/ y x) in y
2.254 * [taylor]: Taking taylor expansion of y in y
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify 1 into 1
2.254 * [taylor]: Taking taylor expansion of x in y
2.254 * [backup-simplify]: Simplify x into x
2.254 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.254 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [taylor]: Taking taylor expansion of 0 in y
2.254 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
2.255 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
2.255 * [taylor]: Taking taylor expansion of 0 in y
2.255 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
2.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
2.256 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.256 * [backup-simplify]: Simplify 0 into 0
2.256 * [taylor]: Taking taylor expansion of 0 in y
2.256 * [backup-simplify]: Simplify 0 into 0
2.256 * [backup-simplify]: Simplify 0 into 0
2.256 * [backup-simplify]: Simplify 0 into 0
2.256 * [backup-simplify]: Simplify 0 into 0
2.256 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y))
2.256 * * * [progress]: simplifying candidates
2.256 * [simplify]: Simplifying:
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (log (sin (/ x (* y 2.0))))
  (exp (sin (/ x (* y 2.0))))
  (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))
  (cbrt (sin (/ x (* y 2.0))))
  (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (* 0.5 (/ x y))
  (* 0.5 (/ x y))
2.257 * * [simplify]: iteration 0: 33 enodes
2.262 * * [simplify]: iteration 1: 57 enodes
2.274 * * [simplify]: iteration 2: 129 enodes
2.305 * * [simplify]: iteration 3: 441 enodes
2.548 * * [simplify]: iteration 4: 1556 enodes
3.923 * * [simplify]: iteration complete: 5001 enodes
3.923 * * [simplify]: Extracting #0: cost 17 inf + 0
3.923 * * [simplify]: Extracting #1: cost 42 inf + 1
3.924 * * [simplify]: Extracting #2: cost 508 inf + 89
3.930 * * [simplify]: Extracting #3: cost 1153 inf + 12055
3.941 * * [simplify]: Extracting #4: cost 1169 inf + 33544
3.976 * * [simplify]: Extracting #5: cost 889 inf + 190417
4.055 * * [simplify]: Extracting #6: cost 177 inf + 590382
4.148 * * [simplify]: Extracting #7: cost 0 inf + 690499
4.260 * * [simplify]: Extracting #8: cost 0 inf + 689993
4.374 * [simplify]: Simplified to:
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (log (sin (/ x (* 2.0 y))))
  (exp (sin (/ x (* 2.0 y))))
  (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))
  (cbrt (sin (/ x (* 2.0 y))))
  (* (sin (/ x (* 2.0 y))) (* (sin (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (sqrt (sin (/ x (* 2.0 y))))
  (sqrt (sin (/ x (* 2.0 y))))
  0
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  0
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  0
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  0
  (* (/ x y) 0.5)
  (* (/ x y) 0.5)
4.378 * * * [progress]: adding candidates to table
4.644 * * [progress]: iteration 4 / 4
4.644 * * * [progress]: picking best candidate
4.718 * * * * [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)))))))>
4.718 * * * [progress]: localizing error
4.767 * * * [progress]: generating rewritten candidates
4.767 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
4.775 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1)
4.779 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
4.782 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
4.788 * * * [progress]: generating series expansions
4.789 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
4.789 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
4.789 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
4.789 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
4.789 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.789 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
4.789 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.789 * [taylor]: Taking taylor expansion of 0.5 in y
4.789 * [backup-simplify]: Simplify 0.5 into 0.5
4.789 * [taylor]: Taking taylor expansion of (/ x y) in y
4.789 * [taylor]: Taking taylor expansion of x in y
4.789 * [backup-simplify]: Simplify x into x
4.789 * [taylor]: Taking taylor expansion of y in y
4.789 * [backup-simplify]: Simplify 0 into 0
4.789 * [backup-simplify]: Simplify 1 into 1
4.789 * [backup-simplify]: Simplify (/ x 1) into x
4.789 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.789 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
4.790 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
4.790 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.790 * [taylor]: Taking taylor expansion of 0.5 in y
4.790 * [backup-simplify]: Simplify 0.5 into 0.5
4.790 * [taylor]: Taking taylor expansion of (/ x y) in y
4.790 * [taylor]: Taking taylor expansion of x in y
4.790 * [backup-simplify]: Simplify x into x
4.790 * [taylor]: Taking taylor expansion of y in y
4.790 * [backup-simplify]: Simplify 0 into 0
4.790 * [backup-simplify]: Simplify 1 into 1
4.790 * [backup-simplify]: Simplify (/ x 1) into x
4.790 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.790 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
4.790 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.790 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
4.790 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.791 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.791 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.791 * [taylor]: Taking taylor expansion of 0.5 in x
4.791 * [backup-simplify]: Simplify 0.5 into 0.5
4.791 * [taylor]: Taking taylor expansion of (/ x y) in x
4.791 * [taylor]: Taking taylor expansion of x in x
4.791 * [backup-simplify]: Simplify 0 into 0
4.791 * [backup-simplify]: Simplify 1 into 1
4.791 * [taylor]: Taking taylor expansion of y in x
4.791 * [backup-simplify]: Simplify y into y
4.791 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.791 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.791 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.791 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.791 * [taylor]: Taking taylor expansion of 0.5 in x
4.791 * [backup-simplify]: Simplify 0.5 into 0.5
4.791 * [taylor]: Taking taylor expansion of (/ x y) in x
4.791 * [taylor]: Taking taylor expansion of x in x
4.791 * [backup-simplify]: Simplify 0 into 0
4.791 * [backup-simplify]: Simplify 1 into 1
4.791 * [taylor]: Taking taylor expansion of y in x
4.791 * [backup-simplify]: Simplify y into y
4.791 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.791 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.792 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
4.792 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
4.792 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.792 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.792 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.792 * [taylor]: Taking taylor expansion of 0.5 in x
4.792 * [backup-simplify]: Simplify 0.5 into 0.5
4.792 * [taylor]: Taking taylor expansion of (/ x y) in x
4.792 * [taylor]: Taking taylor expansion of x in x
4.792 * [backup-simplify]: Simplify 0 into 0
4.792 * [backup-simplify]: Simplify 1 into 1
4.792 * [taylor]: Taking taylor expansion of y in x
4.792 * [backup-simplify]: Simplify y into y
4.792 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.792 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.792 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.792 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.792 * [taylor]: Taking taylor expansion of 0.5 in x
4.792 * [backup-simplify]: Simplify 0.5 into 0.5
4.793 * [taylor]: Taking taylor expansion of (/ x y) in x
4.793 * [taylor]: Taking taylor expansion of x in x
4.793 * [backup-simplify]: Simplify 0 into 0
4.793 * [backup-simplify]: Simplify 1 into 1
4.793 * [taylor]: Taking taylor expansion of y in x
4.793 * [backup-simplify]: Simplify y into y
4.793 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.793 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.793 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.793 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
4.793 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
4.793 * [taylor]: Taking taylor expansion of 0.5 in y
4.793 * [backup-simplify]: Simplify 0.5 into 0.5
4.793 * [taylor]: Taking taylor expansion of y in y
4.793 * [backup-simplify]: Simplify 0 into 0
4.793 * [backup-simplify]: Simplify 1 into 1
4.794 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
4.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
4.795 * [backup-simplify]: Simplify 0 into 0
4.795 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.795 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
4.796 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.797 * [backup-simplify]: Simplify (+ 0) into 0
4.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
4.797 * [taylor]: Taking taylor expansion of 0 in y
4.797 * [backup-simplify]: Simplify 0 into 0
4.797 * [backup-simplify]: Simplify 0 into 0
4.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.798 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.799 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
4.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
4.801 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3)))
4.802 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
4.802 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
4.802 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
4.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
4.802 * [taylor]: Taking taylor expansion of (pow y 3) in y
4.802 * [taylor]: Taking taylor expansion of y in y
4.802 * [backup-simplify]: Simplify 0 into 0
4.802 * [backup-simplify]: Simplify 1 into 1
4.802 * [backup-simplify]: Simplify (* 1 1) into 1
4.802 * [backup-simplify]: Simplify (* 1 1) into 1
4.803 * [backup-simplify]: Simplify (/ 1 1) into 1
4.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.809 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.809 * [backup-simplify]: Simplify 0 into 0
4.809 * [backup-simplify]: Simplify 0 into 0
4.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.809 * [backup-simplify]: Simplify 0 into 0
4.809 * [backup-simplify]: Simplify 0 into 0
4.810 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
4.810 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
4.810 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
4.810 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.810 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.810 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.810 * [taylor]: Taking taylor expansion of 0.5 in y
4.810 * [backup-simplify]: Simplify 0.5 into 0.5
4.810 * [taylor]: Taking taylor expansion of (/ y x) in y
4.810 * [taylor]: Taking taylor expansion of y in y
4.810 * [backup-simplify]: Simplify 0 into 0
4.810 * [backup-simplify]: Simplify 1 into 1
4.810 * [taylor]: Taking taylor expansion of x in y
4.810 * [backup-simplify]: Simplify x into x
4.810 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.810 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.810 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.810 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.810 * [taylor]: Taking taylor expansion of 0.5 in y
4.810 * [backup-simplify]: Simplify 0.5 into 0.5
4.810 * [taylor]: Taking taylor expansion of (/ y x) in y
4.810 * [taylor]: Taking taylor expansion of y in y
4.810 * [backup-simplify]: Simplify 0 into 0
4.810 * [backup-simplify]: Simplify 1 into 1
4.810 * [taylor]: Taking taylor expansion of x in y
4.810 * [backup-simplify]: Simplify x into x
4.810 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.810 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.811 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.811 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.811 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.811 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.811 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.811 * [taylor]: Taking taylor expansion of 0.5 in x
4.811 * [backup-simplify]: Simplify 0.5 into 0.5
4.811 * [taylor]: Taking taylor expansion of (/ y x) in x
4.811 * [taylor]: Taking taylor expansion of y in x
4.811 * [backup-simplify]: Simplify y into y
4.811 * [taylor]: Taking taylor expansion of x in x
4.811 * [backup-simplify]: Simplify 0 into 0
4.811 * [backup-simplify]: Simplify 1 into 1
4.811 * [backup-simplify]: Simplify (/ y 1) into y
4.811 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.811 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.811 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.811 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.811 * [taylor]: Taking taylor expansion of 0.5 in x
4.811 * [backup-simplify]: Simplify 0.5 into 0.5
4.811 * [taylor]: Taking taylor expansion of (/ y x) in x
4.811 * [taylor]: Taking taylor expansion of y in x
4.811 * [backup-simplify]: Simplify y into y
4.811 * [taylor]: Taking taylor expansion of x in x
4.811 * [backup-simplify]: Simplify 0 into 0
4.811 * [backup-simplify]: Simplify 1 into 1
4.811 * [backup-simplify]: Simplify (/ y 1) into y
4.811 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.812 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.812 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.812 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.812 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.812 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.812 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.812 * [taylor]: Taking taylor expansion of 0.5 in x
4.812 * [backup-simplify]: Simplify 0.5 into 0.5
4.812 * [taylor]: Taking taylor expansion of (/ y x) in x
4.812 * [taylor]: Taking taylor expansion of y in x
4.812 * [backup-simplify]: Simplify y into y
4.812 * [taylor]: Taking taylor expansion of x in x
4.812 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify 1 into 1
4.812 * [backup-simplify]: Simplify (/ y 1) into y
4.812 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.812 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.812 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.812 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.812 * [taylor]: Taking taylor expansion of 0.5 in x
4.812 * [backup-simplify]: Simplify 0.5 into 0.5
4.813 * [taylor]: Taking taylor expansion of (/ y x) in x
4.813 * [taylor]: Taking taylor expansion of y in x
4.813 * [backup-simplify]: Simplify y into y
4.813 * [taylor]: Taking taylor expansion of x in x
4.813 * [backup-simplify]: Simplify 0 into 0
4.813 * [backup-simplify]: Simplify 1 into 1
4.813 * [backup-simplify]: Simplify (/ y 1) into y
4.813 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.813 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.813 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.813 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
4.813 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.813 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.813 * [taylor]: Taking taylor expansion of 0.5 in y
4.813 * [backup-simplify]: Simplify 0.5 into 0.5
4.813 * [taylor]: Taking taylor expansion of (/ y x) in y
4.813 * [taylor]: Taking taylor expansion of y in y
4.813 * [backup-simplify]: Simplify 0 into 0
4.813 * [backup-simplify]: Simplify 1 into 1
4.813 * [taylor]: Taking taylor expansion of x in y
4.813 * [backup-simplify]: Simplify x into x
4.813 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.813 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.814 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.814 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.814 * [taylor]: Taking taylor expansion of 0.5 in y
4.814 * [backup-simplify]: Simplify 0.5 into 0.5
4.814 * [taylor]: Taking taylor expansion of (/ y x) in y
4.814 * [taylor]: Taking taylor expansion of y in y
4.814 * [backup-simplify]: Simplify 0 into 0
4.814 * [backup-simplify]: Simplify 1 into 1
4.814 * [taylor]: Taking taylor expansion of x in y
4.814 * [backup-simplify]: Simplify x into x
4.814 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.814 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.814 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.814 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
4.815 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.815 * [taylor]: Taking taylor expansion of 0 in y
4.815 * [backup-simplify]: Simplify 0 into 0
4.815 * [backup-simplify]: Simplify 0 into 0
4.815 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.815 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.816 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.816 * [backup-simplify]: Simplify (+ 0) into 0
4.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
4.817 * [backup-simplify]: Simplify 0 into 0
4.818 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.818 * [taylor]: Taking taylor expansion of 0 in y
4.818 * [backup-simplify]: Simplify 0 into 0
4.818 * [backup-simplify]: Simplify 0 into 0
4.818 * [backup-simplify]: Simplify 0 into 0
4.818 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.819 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
4.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.821 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
4.821 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
4.822 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.822 * [taylor]: Taking taylor expansion of 0 in y
4.822 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.823 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.824 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.824 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.825 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.825 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
4.827 * [backup-simplify]: Simplify 0 into 0
4.828 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.828 * [taylor]: Taking taylor expansion of 0 in y
4.828 * [backup-simplify]: Simplify 0 into 0
4.828 * [backup-simplify]: Simplify 0 into 0
4.828 * [backup-simplify]: Simplify 0 into 0
4.828 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
4.829 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
4.829 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
4.829 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
4.829 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.829 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.829 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.829 * [taylor]: Taking taylor expansion of 0.5 in y
4.829 * [backup-simplify]: Simplify 0.5 into 0.5
4.829 * [taylor]: Taking taylor expansion of (/ y x) in y
4.829 * [taylor]: Taking taylor expansion of y in y
4.829 * [backup-simplify]: Simplify 0 into 0
4.829 * [backup-simplify]: Simplify 1 into 1
4.829 * [taylor]: Taking taylor expansion of x in y
4.829 * [backup-simplify]: Simplify x into x
4.829 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.829 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.829 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.829 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.829 * [taylor]: Taking taylor expansion of 0.5 in y
4.829 * [backup-simplify]: Simplify 0.5 into 0.5
4.829 * [taylor]: Taking taylor expansion of (/ y x) in y
4.829 * [taylor]: Taking taylor expansion of y in y
4.829 * [backup-simplify]: Simplify 0 into 0
4.829 * [backup-simplify]: Simplify 1 into 1
4.829 * [taylor]: Taking taylor expansion of x in y
4.829 * [backup-simplify]: Simplify x into x
4.829 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.829 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.830 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.830 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.830 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.830 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.830 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.830 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.830 * [taylor]: Taking taylor expansion of 0.5 in x
4.830 * [backup-simplify]: Simplify 0.5 into 0.5
4.830 * [taylor]: Taking taylor expansion of (/ y x) in x
4.830 * [taylor]: Taking taylor expansion of y in x
4.830 * [backup-simplify]: Simplify y into y
4.830 * [taylor]: Taking taylor expansion of x in x
4.830 * [backup-simplify]: Simplify 0 into 0
4.830 * [backup-simplify]: Simplify 1 into 1
4.830 * [backup-simplify]: Simplify (/ y 1) into y
4.830 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.830 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.830 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.830 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.830 * [taylor]: Taking taylor expansion of 0.5 in x
4.830 * [backup-simplify]: Simplify 0.5 into 0.5
4.830 * [taylor]: Taking taylor expansion of (/ y x) in x
4.830 * [taylor]: Taking taylor expansion of y in x
4.830 * [backup-simplify]: Simplify y into y
4.830 * [taylor]: Taking taylor expansion of x in x
4.830 * [backup-simplify]: Simplify 0 into 0
4.831 * [backup-simplify]: Simplify 1 into 1
4.831 * [backup-simplify]: Simplify (/ y 1) into y
4.831 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.831 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.831 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.831 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.831 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.831 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.831 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.831 * [taylor]: Taking taylor expansion of 0.5 in x
4.831 * [backup-simplify]: Simplify 0.5 into 0.5
4.831 * [taylor]: Taking taylor expansion of (/ y x) in x
4.831 * [taylor]: Taking taylor expansion of y in x
4.831 * [backup-simplify]: Simplify y into y
4.831 * [taylor]: Taking taylor expansion of x in x
4.831 * [backup-simplify]: Simplify 0 into 0
4.831 * [backup-simplify]: Simplify 1 into 1
4.831 * [backup-simplify]: Simplify (/ y 1) into y
4.831 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.831 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.832 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.832 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.832 * [taylor]: Taking taylor expansion of 0.5 in x
4.832 * [backup-simplify]: Simplify 0.5 into 0.5
4.832 * [taylor]: Taking taylor expansion of (/ y x) in x
4.832 * [taylor]: Taking taylor expansion of y in x
4.832 * [backup-simplify]: Simplify y into y
4.832 * [taylor]: Taking taylor expansion of x in x
4.832 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify 1 into 1
4.832 * [backup-simplify]: Simplify (/ y 1) into y
4.832 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.832 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.832 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.832 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
4.832 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.832 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.832 * [taylor]: Taking taylor expansion of 0.5 in y
4.832 * [backup-simplify]: Simplify 0.5 into 0.5
4.832 * [taylor]: Taking taylor expansion of (/ y x) in y
4.832 * [taylor]: Taking taylor expansion of y in y
4.832 * [backup-simplify]: Simplify 0 into 0
4.832 * [backup-simplify]: Simplify 1 into 1
4.833 * [taylor]: Taking taylor expansion of x in y
4.833 * [backup-simplify]: Simplify x into x
4.833 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.833 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.833 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.833 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.833 * [taylor]: Taking taylor expansion of 0.5 in y
4.833 * [backup-simplify]: Simplify 0.5 into 0.5
4.833 * [taylor]: Taking taylor expansion of (/ y x) in y
4.833 * [taylor]: Taking taylor expansion of y in y
4.833 * [backup-simplify]: Simplify 0 into 0
4.833 * [backup-simplify]: Simplify 1 into 1
4.833 * [taylor]: Taking taylor expansion of x in y
4.833 * [backup-simplify]: Simplify x into x
4.833 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.833 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.833 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.833 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.833 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
4.834 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.834 * [taylor]: Taking taylor expansion of 0 in y
4.834 * [backup-simplify]: Simplify 0 into 0
4.834 * [backup-simplify]: Simplify 0 into 0
4.834 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.835 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.835 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.836 * [backup-simplify]: Simplify (+ 0) into 0
4.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.837 * [taylor]: Taking taylor expansion of 0 in y
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.838 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.838 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
4.839 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.839 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
4.839 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
4.840 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.840 * [taylor]: Taking taylor expansion of 0 in y
4.840 * [backup-simplify]: Simplify 0 into 0
4.840 * [backup-simplify]: Simplify 0 into 0
4.840 * [backup-simplify]: Simplify 0 into 0
4.840 * [backup-simplify]: Simplify 0 into 0
4.840 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.841 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.842 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.842 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.842 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.843 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
4.844 * [backup-simplify]: Simplify 0 into 0
4.844 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.844 * [taylor]: Taking taylor expansion of 0 in y
4.844 * [backup-simplify]: Simplify 0 into 0
4.844 * [backup-simplify]: Simplify 0 into 0
4.844 * [backup-simplify]: Simplify 0 into 0
4.844 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
4.845 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1)
4.845 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
4.845 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
4.845 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
4.845 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.845 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
4.845 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.845 * [taylor]: Taking taylor expansion of 0.5 in y
4.845 * [backup-simplify]: Simplify 0.5 into 0.5
4.845 * [taylor]: Taking taylor expansion of (/ x y) in y
4.845 * [taylor]: Taking taylor expansion of x in y
4.845 * [backup-simplify]: Simplify x into x
4.845 * [taylor]: Taking taylor expansion of y in y
4.845 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify 1 into 1
4.845 * [backup-simplify]: Simplify (/ x 1) into x
4.845 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.845 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
4.845 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
4.845 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.845 * [taylor]: Taking taylor expansion of 0.5 in y
4.845 * [backup-simplify]: Simplify 0.5 into 0.5
4.845 * [taylor]: Taking taylor expansion of (/ x y) in y
4.845 * [taylor]: Taking taylor expansion of x in y
4.845 * [backup-simplify]: Simplify x into x
4.845 * [taylor]: Taking taylor expansion of y in y
4.845 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify 1 into 1
4.845 * [backup-simplify]: Simplify (/ x 1) into x
4.845 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.845 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
4.845 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.845 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
4.846 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.846 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.846 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.846 * [taylor]: Taking taylor expansion of 0.5 in x
4.846 * [backup-simplify]: Simplify 0.5 into 0.5
4.846 * [taylor]: Taking taylor expansion of (/ x y) in x
4.846 * [taylor]: Taking taylor expansion of x in x
4.846 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify 1 into 1
4.846 * [taylor]: Taking taylor expansion of y in x
4.846 * [backup-simplify]: Simplify y into y
4.846 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.846 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.846 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.846 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.846 * [taylor]: Taking taylor expansion of 0.5 in x
4.846 * [backup-simplify]: Simplify 0.5 into 0.5
4.846 * [taylor]: Taking taylor expansion of (/ x y) in x
4.846 * [taylor]: Taking taylor expansion of x in x
4.846 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify 1 into 1
4.846 * [taylor]: Taking taylor expansion of y in x
4.846 * [backup-simplify]: Simplify y into y
4.846 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.846 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.846 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
4.846 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
4.846 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.846 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.846 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.846 * [taylor]: Taking taylor expansion of 0.5 in x
4.846 * [backup-simplify]: Simplify 0.5 into 0.5
4.846 * [taylor]: Taking taylor expansion of (/ x y) in x
4.846 * [taylor]: Taking taylor expansion of x in x
4.846 * [backup-simplify]: Simplify 0 into 0
4.846 * [backup-simplify]: Simplify 1 into 1
4.846 * [taylor]: Taking taylor expansion of y in x
4.846 * [backup-simplify]: Simplify y into y
4.846 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.846 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.846 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.847 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.847 * [taylor]: Taking taylor expansion of 0.5 in x
4.847 * [backup-simplify]: Simplify 0.5 into 0.5
4.847 * [taylor]: Taking taylor expansion of (/ x y) in x
4.847 * [taylor]: Taking taylor expansion of x in x
4.847 * [backup-simplify]: Simplify 0 into 0
4.847 * [backup-simplify]: Simplify 1 into 1
4.847 * [taylor]: Taking taylor expansion of y in x
4.847 * [backup-simplify]: Simplify y into y
4.847 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.847 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.847 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.847 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
4.847 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
4.847 * [taylor]: Taking taylor expansion of 0.5 in y
4.847 * [backup-simplify]: Simplify 0.5 into 0.5
4.847 * [taylor]: Taking taylor expansion of y in y
4.847 * [backup-simplify]: Simplify 0 into 0
4.847 * [backup-simplify]: Simplify 1 into 1
4.847 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
4.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
4.848 * [backup-simplify]: Simplify 0 into 0
4.848 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.848 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
4.849 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.849 * [backup-simplify]: Simplify (+ 0) into 0
4.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
4.850 * [taylor]: Taking taylor expansion of 0 in y
4.850 * [backup-simplify]: Simplify 0 into 0
4.850 * [backup-simplify]: Simplify 0 into 0
4.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.850 * [backup-simplify]: Simplify 0 into 0
4.850 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.851 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.851 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
4.852 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
4.852 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3)))
4.852 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
4.852 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
4.852 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
4.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
4.852 * [taylor]: Taking taylor expansion of (pow y 3) in y
4.853 * [taylor]: Taking taylor expansion of y in y
4.853 * [backup-simplify]: Simplify 0 into 0
4.853 * [backup-simplify]: Simplify 1 into 1
4.853 * [backup-simplify]: Simplify (* 1 1) into 1
4.853 * [backup-simplify]: Simplify (* 1 1) into 1
4.853 * [backup-simplify]: Simplify (/ 1 1) into 1
4.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.858 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.858 * [backup-simplify]: Simplify 0 into 0
4.858 * [backup-simplify]: Simplify 0 into 0
4.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.859 * [backup-simplify]: Simplify 0 into 0
4.859 * [backup-simplify]: Simplify 0 into 0
4.859 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
4.859 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
4.859 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
4.859 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.859 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.859 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.859 * [taylor]: Taking taylor expansion of 0.5 in y
4.859 * [backup-simplify]: Simplify 0.5 into 0.5
4.859 * [taylor]: Taking taylor expansion of (/ y x) in y
4.859 * [taylor]: Taking taylor expansion of y in y
4.859 * [backup-simplify]: Simplify 0 into 0
4.859 * [backup-simplify]: Simplify 1 into 1
4.859 * [taylor]: Taking taylor expansion of x in y
4.859 * [backup-simplify]: Simplify x into x
4.859 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.859 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.859 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.860 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.860 * [taylor]: Taking taylor expansion of 0.5 in y
4.860 * [backup-simplify]: Simplify 0.5 into 0.5
4.860 * [taylor]: Taking taylor expansion of (/ y x) in y
4.860 * [taylor]: Taking taylor expansion of y in y
4.860 * [backup-simplify]: Simplify 0 into 0
4.860 * [backup-simplify]: Simplify 1 into 1
4.860 * [taylor]: Taking taylor expansion of x in y
4.860 * [backup-simplify]: Simplify x into x
4.860 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.860 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.860 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.860 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.860 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.860 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.860 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.860 * [taylor]: Taking taylor expansion of 0.5 in x
4.860 * [backup-simplify]: Simplify 0.5 into 0.5
4.860 * [taylor]: Taking taylor expansion of (/ y x) in x
4.860 * [taylor]: Taking taylor expansion of y in x
4.860 * [backup-simplify]: Simplify y into y
4.860 * [taylor]: Taking taylor expansion of x in x
4.860 * [backup-simplify]: Simplify 0 into 0
4.860 * [backup-simplify]: Simplify 1 into 1
4.860 * [backup-simplify]: Simplify (/ y 1) into y
4.860 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.860 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.860 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.860 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.860 * [taylor]: Taking taylor expansion of 0.5 in x
4.860 * [backup-simplify]: Simplify 0.5 into 0.5
4.860 * [taylor]: Taking taylor expansion of (/ y x) in x
4.860 * [taylor]: Taking taylor expansion of y in x
4.860 * [backup-simplify]: Simplify y into y
4.860 * [taylor]: Taking taylor expansion of x in x
4.860 * [backup-simplify]: Simplify 0 into 0
4.860 * [backup-simplify]: Simplify 1 into 1
4.860 * [backup-simplify]: Simplify (/ y 1) into y
4.860 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.861 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.861 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.861 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.861 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.861 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.861 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.861 * [taylor]: Taking taylor expansion of 0.5 in x
4.861 * [backup-simplify]: Simplify 0.5 into 0.5
4.861 * [taylor]: Taking taylor expansion of (/ y x) in x
4.861 * [taylor]: Taking taylor expansion of y in x
4.861 * [backup-simplify]: Simplify y into y
4.861 * [taylor]: Taking taylor expansion of x in x
4.861 * [backup-simplify]: Simplify 0 into 0
4.861 * [backup-simplify]: Simplify 1 into 1
4.861 * [backup-simplify]: Simplify (/ y 1) into y
4.861 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.861 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.861 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.861 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.861 * [taylor]: Taking taylor expansion of 0.5 in x
4.861 * [backup-simplify]: Simplify 0.5 into 0.5
4.861 * [taylor]: Taking taylor expansion of (/ y x) in x
4.861 * [taylor]: Taking taylor expansion of y in x
4.861 * [backup-simplify]: Simplify y into y
4.861 * [taylor]: Taking taylor expansion of x in x
4.861 * [backup-simplify]: Simplify 0 into 0
4.861 * [backup-simplify]: Simplify 1 into 1
4.861 * [backup-simplify]: Simplify (/ y 1) into y
4.861 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.861 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.861 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.862 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
4.862 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.862 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.862 * [taylor]: Taking taylor expansion of 0.5 in y
4.862 * [backup-simplify]: Simplify 0.5 into 0.5
4.862 * [taylor]: Taking taylor expansion of (/ y x) in y
4.862 * [taylor]: Taking taylor expansion of y in y
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify 1 into 1
4.862 * [taylor]: Taking taylor expansion of x in y
4.862 * [backup-simplify]: Simplify x into x
4.862 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.862 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.862 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.862 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.862 * [taylor]: Taking taylor expansion of 0.5 in y
4.862 * [backup-simplify]: Simplify 0.5 into 0.5
4.862 * [taylor]: Taking taylor expansion of (/ y x) in y
4.862 * [taylor]: Taking taylor expansion of y in y
4.862 * [backup-simplify]: Simplify 0 into 0
4.862 * [backup-simplify]: Simplify 1 into 1
4.862 * [taylor]: Taking taylor expansion of x in y
4.862 * [backup-simplify]: Simplify x into x
4.862 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.862 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.862 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.862 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.862 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
4.862 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.863 * [taylor]: Taking taylor expansion of 0 in y
4.863 * [backup-simplify]: Simplify 0 into 0
4.863 * [backup-simplify]: Simplify 0 into 0
4.863 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.863 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.863 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.864 * [backup-simplify]: Simplify (+ 0) into 0
4.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
4.864 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.865 * [taylor]: Taking taylor expansion of 0 in y
4.865 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.865 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
4.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.867 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
4.867 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
4.867 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.867 * [taylor]: Taking taylor expansion of 0 in y
4.867 * [backup-simplify]: Simplify 0 into 0
4.867 * [backup-simplify]: Simplify 0 into 0
4.867 * [backup-simplify]: Simplify 0 into 0
4.867 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.868 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.869 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.869 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.870 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.870 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
4.871 * [backup-simplify]: Simplify 0 into 0
4.871 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.871 * [taylor]: Taking taylor expansion of 0 in y
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
4.872 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
4.872 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
4.872 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
4.872 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.872 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.872 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.872 * [taylor]: Taking taylor expansion of 0.5 in y
4.872 * [backup-simplify]: Simplify 0.5 into 0.5
4.872 * [taylor]: Taking taylor expansion of (/ y x) in y
4.872 * [taylor]: Taking taylor expansion of y in y
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify 1 into 1
4.872 * [taylor]: Taking taylor expansion of x in y
4.872 * [backup-simplify]: Simplify x into x
4.872 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.872 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.872 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.872 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.872 * [taylor]: Taking taylor expansion of 0.5 in y
4.872 * [backup-simplify]: Simplify 0.5 into 0.5
4.872 * [taylor]: Taking taylor expansion of (/ y x) in y
4.872 * [taylor]: Taking taylor expansion of y in y
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify 1 into 1
4.872 * [taylor]: Taking taylor expansion of x in y
4.873 * [backup-simplify]: Simplify x into x
4.873 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.873 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.873 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.873 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.873 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.873 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.873 * [taylor]: Taking taylor expansion of 0.5 in x
4.873 * [backup-simplify]: Simplify 0.5 into 0.5
4.873 * [taylor]: Taking taylor expansion of (/ y x) in x
4.873 * [taylor]: Taking taylor expansion of y in x
4.873 * [backup-simplify]: Simplify y into y
4.873 * [taylor]: Taking taylor expansion of x in x
4.873 * [backup-simplify]: Simplify 0 into 0
4.873 * [backup-simplify]: Simplify 1 into 1
4.873 * [backup-simplify]: Simplify (/ y 1) into y
4.873 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.873 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.873 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.873 * [taylor]: Taking taylor expansion of 0.5 in x
4.873 * [backup-simplify]: Simplify 0.5 into 0.5
4.873 * [taylor]: Taking taylor expansion of (/ y x) in x
4.873 * [taylor]: Taking taylor expansion of y in x
4.873 * [backup-simplify]: Simplify y into y
4.873 * [taylor]: Taking taylor expansion of x in x
4.873 * [backup-simplify]: Simplify 0 into 0
4.873 * [backup-simplify]: Simplify 1 into 1
4.873 * [backup-simplify]: Simplify (/ y 1) into y
4.873 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.873 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.874 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.874 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.874 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.874 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.874 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.874 * [taylor]: Taking taylor expansion of 0.5 in x
4.874 * [backup-simplify]: Simplify 0.5 into 0.5
4.874 * [taylor]: Taking taylor expansion of (/ y x) in x
4.874 * [taylor]: Taking taylor expansion of y in x
4.874 * [backup-simplify]: Simplify y into y
4.874 * [taylor]: Taking taylor expansion of x in x
4.874 * [backup-simplify]: Simplify 0 into 0
4.874 * [backup-simplify]: Simplify 1 into 1
4.874 * [backup-simplify]: Simplify (/ y 1) into y
4.874 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.874 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.874 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.874 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.874 * [taylor]: Taking taylor expansion of 0.5 in x
4.874 * [backup-simplify]: Simplify 0.5 into 0.5
4.874 * [taylor]: Taking taylor expansion of (/ y x) in x
4.874 * [taylor]: Taking taylor expansion of y in x
4.874 * [backup-simplify]: Simplify y into y
4.874 * [taylor]: Taking taylor expansion of x in x
4.874 * [backup-simplify]: Simplify 0 into 0
4.874 * [backup-simplify]: Simplify 1 into 1
4.874 * [backup-simplify]: Simplify (/ y 1) into y
4.874 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.874 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.874 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.874 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
4.874 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.874 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.874 * [taylor]: Taking taylor expansion of 0.5 in y
4.874 * [backup-simplify]: Simplify 0.5 into 0.5
4.874 * [taylor]: Taking taylor expansion of (/ y x) in y
4.874 * [taylor]: Taking taylor expansion of y in y
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 1 into 1
4.875 * [taylor]: Taking taylor expansion of x in y
4.875 * [backup-simplify]: Simplify x into x
4.875 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.875 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.875 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.875 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.875 * [taylor]: Taking taylor expansion of 0.5 in y
4.875 * [backup-simplify]: Simplify 0.5 into 0.5
4.875 * [taylor]: Taking taylor expansion of (/ y x) in y
4.875 * [taylor]: Taking taylor expansion of y in y
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 1 into 1
4.875 * [taylor]: Taking taylor expansion of x in y
4.875 * [backup-simplify]: Simplify x into x
4.875 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.875 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.875 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.875 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.875 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
4.875 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.875 * [taylor]: Taking taylor expansion of 0 in y
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.876 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.876 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.877 * [backup-simplify]: Simplify (+ 0) into 0
4.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
4.877 * [backup-simplify]: Simplify 0 into 0
4.877 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.878 * [taylor]: Taking taylor expansion of 0 in y
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.878 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.879 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
4.879 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.880 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
4.880 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
4.880 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.880 * [taylor]: Taking taylor expansion of 0 in y
4.880 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.881 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.882 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.882 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.882 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.883 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
4.886 * [backup-simplify]: Simplify 0 into 0
4.887 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.887 * [taylor]: Taking taylor expansion of 0 in y
4.887 * [backup-simplify]: Simplify 0 into 0
4.887 * [backup-simplify]: Simplify 0 into 0
4.887 * [backup-simplify]: Simplify 0 into 0
4.887 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
4.887 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
4.887 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y)))
4.887 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0
4.887 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y
4.887 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.887 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
4.887 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.887 * [taylor]: Taking taylor expansion of 0.5 in y
4.887 * [backup-simplify]: Simplify 0.5 into 0.5
4.888 * [taylor]: Taking taylor expansion of (/ x y) in y
4.888 * [taylor]: Taking taylor expansion of x in y
4.888 * [backup-simplify]: Simplify x into x
4.888 * [taylor]: Taking taylor expansion of y in y
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 1 into 1
4.888 * [backup-simplify]: Simplify (/ x 1) into x
4.888 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.888 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
4.888 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y
4.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.888 * [taylor]: Taking taylor expansion of 0.5 in y
4.888 * [backup-simplify]: Simplify 0.5 into 0.5
4.888 * [taylor]: Taking taylor expansion of (/ x y) in y
4.888 * [taylor]: Taking taylor expansion of x in y
4.888 * [backup-simplify]: Simplify x into x
4.888 * [taylor]: Taking taylor expansion of y in y
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 1 into 1
4.888 * [backup-simplify]: Simplify (/ x 1) into x
4.888 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.888 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y)))
4.888 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.888 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
4.888 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.888 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.888 * [taylor]: Taking taylor expansion of 0.5 in x
4.888 * [backup-simplify]: Simplify 0.5 into 0.5
4.888 * [taylor]: Taking taylor expansion of (/ x y) in x
4.888 * [taylor]: Taking taylor expansion of x in x
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 1 into 1
4.888 * [taylor]: Taking taylor expansion of y in x
4.888 * [backup-simplify]: Simplify y into y
4.888 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.888 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.889 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.889 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.889 * [taylor]: Taking taylor expansion of 0.5 in x
4.889 * [backup-simplify]: Simplify 0.5 into 0.5
4.889 * [taylor]: Taking taylor expansion of (/ x y) in x
4.889 * [taylor]: Taking taylor expansion of x in x
4.889 * [backup-simplify]: Simplify 0 into 0
4.889 * [backup-simplify]: Simplify 1 into 1
4.889 * [taylor]: Taking taylor expansion of y in x
4.889 * [backup-simplify]: Simplify y into y
4.889 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.889 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.889 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
4.889 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x
4.889 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))
4.889 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.889 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.889 * [taylor]: Taking taylor expansion of 0.5 in x
4.889 * [backup-simplify]: Simplify 0.5 into 0.5
4.889 * [taylor]: Taking taylor expansion of (/ x y) in x
4.889 * [taylor]: Taking taylor expansion of x in x
4.889 * [backup-simplify]: Simplify 0 into 0
4.889 * [backup-simplify]: Simplify 1 into 1
4.889 * [taylor]: Taking taylor expansion of y in x
4.889 * [backup-simplify]: Simplify y into y
4.889 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.889 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.889 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x
4.889 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.889 * [taylor]: Taking taylor expansion of 0.5 in x
4.889 * [backup-simplify]: Simplify 0.5 into 0.5
4.889 * [taylor]: Taking taylor expansion of (/ x y) in x
4.889 * [taylor]: Taking taylor expansion of x in x
4.889 * [backup-simplify]: Simplify 0 into 0
4.889 * [backup-simplify]: Simplify 1 into 1
4.889 * [taylor]: Taking taylor expansion of y in x
4.889 * [backup-simplify]: Simplify y into y
4.889 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.889 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.890 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.890 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y)
4.890 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y
4.890 * [taylor]: Taking taylor expansion of 0.5 in y
4.890 * [backup-simplify]: Simplify 0.5 into 0.5
4.890 * [taylor]: Taking taylor expansion of y in y
4.890 * [backup-simplify]: Simplify 0 into 0
4.890 * [backup-simplify]: Simplify 1 into 1
4.890 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
4.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
4.891 * [backup-simplify]: Simplify 0 into 0
4.891 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.891 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
4.892 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.892 * [backup-simplify]: Simplify (+ 0) into 0
4.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0
4.892 * [taylor]: Taking taylor expansion of 0 in y
4.892 * [backup-simplify]: Simplify 0 into 0
4.892 * [backup-simplify]: Simplify 0 into 0
4.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.893 * [backup-simplify]: Simplify 0 into 0
4.893 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.894 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3))))
4.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2))))
4.895 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3)))
4.895 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y
4.895 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y
4.895 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667
4.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
4.895 * [taylor]: Taking taylor expansion of (pow y 3) in y
4.895 * [taylor]: Taking taylor expansion of y in y
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify 1 into 1
4.896 * [backup-simplify]: Simplify (* 1 1) into 1
4.896 * [backup-simplify]: Simplify (* 1 1) into 1
4.896 * [backup-simplify]: Simplify (/ 1 1) into 1
4.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.904 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.904 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify 0 into 0
4.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.905 * [backup-simplify]: Simplify 0 into 0
4.905 * [backup-simplify]: Simplify 0 into 0
4.905 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x)))
4.905 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
4.905 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
4.905 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.905 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.906 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.906 * [taylor]: Taking taylor expansion of 0.5 in y
4.906 * [backup-simplify]: Simplify 0.5 into 0.5
4.906 * [taylor]: Taking taylor expansion of (/ y x) in y
4.906 * [taylor]: Taking taylor expansion of y in y
4.906 * [backup-simplify]: Simplify 0 into 0
4.906 * [backup-simplify]: Simplify 1 into 1
4.906 * [taylor]: Taking taylor expansion of x in y
4.906 * [backup-simplify]: Simplify x into x
4.906 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.906 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.906 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.906 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.906 * [taylor]: Taking taylor expansion of 0.5 in y
4.906 * [backup-simplify]: Simplify 0.5 into 0.5
4.906 * [taylor]: Taking taylor expansion of (/ y x) in y
4.906 * [taylor]: Taking taylor expansion of y in y
4.906 * [backup-simplify]: Simplify 0 into 0
4.906 * [backup-simplify]: Simplify 1 into 1
4.906 * [taylor]: Taking taylor expansion of x in y
4.906 * [backup-simplify]: Simplify x into x
4.906 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.906 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.906 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.906 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.907 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.907 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.907 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.907 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.907 * [taylor]: Taking taylor expansion of 0.5 in x
4.907 * [backup-simplify]: Simplify 0.5 into 0.5
4.907 * [taylor]: Taking taylor expansion of (/ y x) in x
4.907 * [taylor]: Taking taylor expansion of y in x
4.907 * [backup-simplify]: Simplify y into y
4.907 * [taylor]: Taking taylor expansion of x in x
4.907 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify 1 into 1
4.907 * [backup-simplify]: Simplify (/ y 1) into y
4.907 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.907 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.907 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.907 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.907 * [taylor]: Taking taylor expansion of 0.5 in x
4.907 * [backup-simplify]: Simplify 0.5 into 0.5
4.907 * [taylor]: Taking taylor expansion of (/ y x) in x
4.907 * [taylor]: Taking taylor expansion of y in x
4.907 * [backup-simplify]: Simplify y into y
4.907 * [taylor]: Taking taylor expansion of x in x
4.907 * [backup-simplify]: Simplify 0 into 0
4.907 * [backup-simplify]: Simplify 1 into 1
4.907 * [backup-simplify]: Simplify (/ y 1) into y
4.907 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.907 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.907 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.907 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.908 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.908 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.908 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.908 * [taylor]: Taking taylor expansion of 0.5 in x
4.908 * [backup-simplify]: Simplify 0.5 into 0.5
4.908 * [taylor]: Taking taylor expansion of (/ y x) in x
4.908 * [taylor]: Taking taylor expansion of y in x
4.908 * [backup-simplify]: Simplify y into y
4.908 * [taylor]: Taking taylor expansion of x in x
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify 1 into 1
4.908 * [backup-simplify]: Simplify (/ y 1) into y
4.908 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.908 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.908 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.908 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.908 * [taylor]: Taking taylor expansion of 0.5 in x
4.908 * [backup-simplify]: Simplify 0.5 into 0.5
4.908 * [taylor]: Taking taylor expansion of (/ y x) in x
4.908 * [taylor]: Taking taylor expansion of y in x
4.908 * [backup-simplify]: Simplify y into y
4.908 * [taylor]: Taking taylor expansion of x in x
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify 1 into 1
4.908 * [backup-simplify]: Simplify (/ y 1) into y
4.908 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.908 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.908 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.908 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
4.908 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.908 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.908 * [taylor]: Taking taylor expansion of 0.5 in y
4.908 * [backup-simplify]: Simplify 0.5 into 0.5
4.908 * [taylor]: Taking taylor expansion of (/ y x) in y
4.908 * [taylor]: Taking taylor expansion of y in y
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify 1 into 1
4.908 * [taylor]: Taking taylor expansion of x in y
4.908 * [backup-simplify]: Simplify x into x
4.908 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.909 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.909 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.909 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.909 * [taylor]: Taking taylor expansion of 0.5 in y
4.909 * [backup-simplify]: Simplify 0.5 into 0.5
4.909 * [taylor]: Taking taylor expansion of (/ y x) in y
4.909 * [taylor]: Taking taylor expansion of y in y
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify 1 into 1
4.909 * [taylor]: Taking taylor expansion of x in y
4.909 * [backup-simplify]: Simplify x into x
4.909 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.909 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.909 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.909 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
4.909 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.909 * [taylor]: Taking taylor expansion of 0 in y
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.910 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.910 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.911 * [backup-simplify]: Simplify (+ 0) into 0
4.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
4.911 * [backup-simplify]: Simplify 0 into 0
4.911 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.911 * [taylor]: Taking taylor expansion of 0 in y
4.912 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.912 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.913 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
4.913 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.914 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
4.914 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
4.914 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.914 * [taylor]: Taking taylor expansion of 0 in y
4.914 * [backup-simplify]: Simplify 0 into 0
4.914 * [backup-simplify]: Simplify 0 into 0
4.914 * [backup-simplify]: Simplify 0 into 0
4.914 * [backup-simplify]: Simplify 0 into 0
4.914 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.915 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.916 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.916 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.916 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.917 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
4.918 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.918 * [taylor]: Taking taylor expansion of 0 in y
4.918 * [backup-simplify]: Simplify 0 into 0
4.918 * [backup-simplify]: Simplify 0 into 0
4.919 * [backup-simplify]: Simplify 0 into 0
4.919 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
4.919 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x)))
4.919 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0
4.919 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y
4.919 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.919 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.919 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.919 * [taylor]: Taking taylor expansion of 0.5 in y
4.919 * [backup-simplify]: Simplify 0.5 into 0.5
4.919 * [taylor]: Taking taylor expansion of (/ y x) in y
4.919 * [taylor]: Taking taylor expansion of y in y
4.919 * [backup-simplify]: Simplify 0 into 0
4.919 * [backup-simplify]: Simplify 1 into 1
4.919 * [taylor]: Taking taylor expansion of x in y
4.919 * [backup-simplify]: Simplify x into x
4.919 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.919 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.919 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.919 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.919 * [taylor]: Taking taylor expansion of 0.5 in y
4.919 * [backup-simplify]: Simplify 0.5 into 0.5
4.919 * [taylor]: Taking taylor expansion of (/ y x) in y
4.919 * [taylor]: Taking taylor expansion of y in y
4.919 * [backup-simplify]: Simplify 0 into 0
4.919 * [backup-simplify]: Simplify 1 into 1
4.919 * [taylor]: Taking taylor expansion of x in y
4.919 * [backup-simplify]: Simplify x into x
4.919 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.920 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.920 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.920 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.920 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.920 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.920 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.920 * [taylor]: Taking taylor expansion of 0.5 in x
4.920 * [backup-simplify]: Simplify 0.5 into 0.5
4.920 * [taylor]: Taking taylor expansion of (/ y x) in x
4.920 * [taylor]: Taking taylor expansion of y in x
4.920 * [backup-simplify]: Simplify y into y
4.920 * [taylor]: Taking taylor expansion of x in x
4.920 * [backup-simplify]: Simplify 0 into 0
4.920 * [backup-simplify]: Simplify 1 into 1
4.920 * [backup-simplify]: Simplify (/ y 1) into y
4.920 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.920 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.920 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.920 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.920 * [taylor]: Taking taylor expansion of 0.5 in x
4.920 * [backup-simplify]: Simplify 0.5 into 0.5
4.920 * [taylor]: Taking taylor expansion of (/ y x) in x
4.920 * [taylor]: Taking taylor expansion of y in x
4.920 * [backup-simplify]: Simplify y into y
4.920 * [taylor]: Taking taylor expansion of x in x
4.920 * [backup-simplify]: Simplify 0 into 0
4.920 * [backup-simplify]: Simplify 1 into 1
4.920 * [backup-simplify]: Simplify (/ y 1) into y
4.920 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.920 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.920 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.921 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x
4.921 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.921 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.921 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.921 * [taylor]: Taking taylor expansion of 0.5 in x
4.921 * [backup-simplify]: Simplify 0.5 into 0.5
4.921 * [taylor]: Taking taylor expansion of (/ y x) in x
4.921 * [taylor]: Taking taylor expansion of y in x
4.921 * [backup-simplify]: Simplify y into y
4.921 * [taylor]: Taking taylor expansion of x in x
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify 1 into 1
4.921 * [backup-simplify]: Simplify (/ y 1) into y
4.921 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.921 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.921 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x
4.921 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.921 * [taylor]: Taking taylor expansion of 0.5 in x
4.921 * [backup-simplify]: Simplify 0.5 into 0.5
4.921 * [taylor]: Taking taylor expansion of (/ y x) in x
4.921 * [taylor]: Taking taylor expansion of y in x
4.921 * [backup-simplify]: Simplify y into y
4.921 * [taylor]: Taking taylor expansion of x in x
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify 1 into 1
4.921 * [backup-simplify]: Simplify (/ y 1) into y
4.921 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.921 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x)))
4.921 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))
4.921 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y
4.921 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.921 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.921 * [taylor]: Taking taylor expansion of 0.5 in y
4.921 * [backup-simplify]: Simplify 0.5 into 0.5
4.921 * [taylor]: Taking taylor expansion of (/ y x) in y
4.921 * [taylor]: Taking taylor expansion of y in y
4.921 * [backup-simplify]: Simplify 0 into 0
4.921 * [backup-simplify]: Simplify 1 into 1
4.921 * [taylor]: Taking taylor expansion of x in y
4.921 * [backup-simplify]: Simplify x into x
4.921 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.922 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.922 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y
4.922 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.922 * [taylor]: Taking taylor expansion of 0.5 in y
4.922 * [backup-simplify]: Simplify 0.5 into 0.5
4.922 * [taylor]: Taking taylor expansion of (/ y x) in y
4.922 * [taylor]: Taking taylor expansion of y in y
4.922 * [backup-simplify]: Simplify 0 into 0
4.922 * [backup-simplify]: Simplify 1 into 1
4.922 * [taylor]: Taking taylor expansion of x in y
4.922 * [backup-simplify]: Simplify x into x
4.922 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.922 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.922 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x)
4.922 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x)
4.922 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.922 * [taylor]: Taking taylor expansion of 0 in y
4.922 * [backup-simplify]: Simplify 0 into 0
4.922 * [backup-simplify]: Simplify 0 into 0
4.922 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.923 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.923 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.923 * [backup-simplify]: Simplify (+ 0) into 0
4.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0
4.924 * [backup-simplify]: Simplify 0 into 0
4.924 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.924 * [taylor]: Taking taylor expansion of 0 in y
4.924 * [backup-simplify]: Simplify 0 into 0
4.924 * [backup-simplify]: Simplify 0 into 0
4.924 * [backup-simplify]: Simplify 0 into 0
4.925 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.925 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.926 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3))))
4.926 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2))))
4.926 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3)))
4.927 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3))
4.927 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.927 * [taylor]: Taking taylor expansion of 0 in y
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.928 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.929 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.929 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.929 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.930 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0
4.931 * [backup-simplify]: Simplify 0 into 0
4.931 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0
4.931 * [taylor]: Taking taylor expansion of 0 in y
4.931 * [backup-simplify]: Simplify 0 into 0
4.931 * [backup-simplify]: Simplify 0 into 0
4.931 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
4.932 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
4.932 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y)))
4.932 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0
4.932 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y
4.932 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y
4.932 * [taylor]: Taking taylor expansion of 0.5 in y
4.932 * [backup-simplify]: Simplify 0.5 into 0.5
4.932 * [taylor]: Taking taylor expansion of (/ x y) in y
4.932 * [taylor]: Taking taylor expansion of x in y
4.932 * [backup-simplify]: Simplify x into x
4.932 * [taylor]: Taking taylor expansion of y in y
4.932 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify 1 into 1
4.932 * [backup-simplify]: Simplify (/ x 1) into x
4.932 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x)
4.932 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y)))
4.932 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.932 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.932 * [taylor]: Taking taylor expansion of 0.5 in x
4.932 * [backup-simplify]: Simplify 0.5 into 0.5
4.932 * [taylor]: Taking taylor expansion of (/ x y) in x
4.932 * [taylor]: Taking taylor expansion of x in x
4.932 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify 1 into 1
4.932 * [taylor]: Taking taylor expansion of y in x
4.932 * [backup-simplify]: Simplify y into y
4.932 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.932 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.932 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x
4.932 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x
4.932 * [taylor]: Taking taylor expansion of 0.5 in x
4.932 * [backup-simplify]: Simplify 0.5 into 0.5
4.932 * [taylor]: Taking taylor expansion of (/ x y) in x
4.932 * [taylor]: Taking taylor expansion of x in x
4.932 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify 1 into 1
4.932 * [taylor]: Taking taylor expansion of y in x
4.932 * [backup-simplify]: Simplify y into y
4.932 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.933 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y)
4.933 * [taylor]: Taking taylor expansion of 0 in y
4.933 * [backup-simplify]: Simplify 0 into 0
4.933 * [backup-simplify]: Simplify 0 into 0
4.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y))
4.933 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y
4.933 * [taylor]: Taking taylor expansion of 0.5 in y
4.933 * [backup-simplify]: Simplify 0.5 into 0.5
4.933 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.933 * [taylor]: Taking taylor expansion of y in y
4.933 * [backup-simplify]: Simplify 0 into 0
4.933 * [backup-simplify]: Simplify 1 into 1
4.933 * [backup-simplify]: Simplify (/ 1 1) into 1
4.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.934 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
4.934 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0
4.934 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0
4.935 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.935 * [taylor]: Taking taylor expansion of 0 in y
4.935 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify 0 into 0
4.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.936 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x)))
4.936 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
4.936 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.936 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.936 * [taylor]: Taking taylor expansion of 0.5 in y
4.936 * [backup-simplify]: Simplify 0.5 into 0.5
4.936 * [taylor]: Taking taylor expansion of (/ y x) in y
4.936 * [taylor]: Taking taylor expansion of y in y
4.936 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify 1 into 1
4.936 * [taylor]: Taking taylor expansion of x in y
4.936 * [backup-simplify]: Simplify x into x
4.936 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.936 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.936 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.936 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.936 * [taylor]: Taking taylor expansion of 0.5 in x
4.936 * [backup-simplify]: Simplify 0.5 into 0.5
4.937 * [taylor]: Taking taylor expansion of (/ y x) in x
4.937 * [taylor]: Taking taylor expansion of y in x
4.937 * [backup-simplify]: Simplify y into y
4.937 * [taylor]: Taking taylor expansion of x in x
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify 1 into 1
4.937 * [backup-simplify]: Simplify (/ y 1) into y
4.937 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.937 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.937 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.937 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.937 * [taylor]: Taking taylor expansion of 0.5 in x
4.937 * [backup-simplify]: Simplify 0.5 into 0.5
4.937 * [taylor]: Taking taylor expansion of (/ y x) in x
4.937 * [taylor]: Taking taylor expansion of y in x
4.937 * [backup-simplify]: Simplify y into y
4.937 * [taylor]: Taking taylor expansion of x in x
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify 1 into 1
4.937 * [backup-simplify]: Simplify (/ y 1) into y
4.937 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.937 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.937 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.937 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.937 * [taylor]: Taking taylor expansion of 0.5 in y
4.937 * [backup-simplify]: Simplify 0.5 into 0.5
4.937 * [taylor]: Taking taylor expansion of (/ y x) in y
4.937 * [taylor]: Taking taylor expansion of y in y
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify 1 into 1
4.937 * [taylor]: Taking taylor expansion of x in y
4.937 * [backup-simplify]: Simplify x into x
4.937 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.937 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [taylor]: Taking taylor expansion of 0 in y
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify 0 into 0
4.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.938 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.938 * [taylor]: Taking taylor expansion of 0 in y
4.938 * [backup-simplify]: Simplify 0 into 0
4.938 * [backup-simplify]: Simplify 0 into 0
4.938 * [backup-simplify]: Simplify 0 into 0
4.938 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.938 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.938 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.938 * [backup-simplify]: Simplify 0 into 0
4.939 * [taylor]: Taking taylor expansion of 0 in y
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y))
4.939 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x)))
4.939 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0
4.939 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.939 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.939 * [taylor]: Taking taylor expansion of 0.5 in y
4.939 * [backup-simplify]: Simplify 0.5 into 0.5
4.939 * [taylor]: Taking taylor expansion of (/ y x) in y
4.939 * [taylor]: Taking taylor expansion of y in y
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 1 into 1
4.939 * [taylor]: Taking taylor expansion of x in y
4.939 * [backup-simplify]: Simplify x into x
4.939 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.939 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.939 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.939 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.939 * [taylor]: Taking taylor expansion of 0.5 in x
4.939 * [backup-simplify]: Simplify 0.5 into 0.5
4.939 * [taylor]: Taking taylor expansion of (/ y x) in x
4.939 * [taylor]: Taking taylor expansion of y in x
4.939 * [backup-simplify]: Simplify y into y
4.939 * [taylor]: Taking taylor expansion of x in x
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 1 into 1
4.939 * [backup-simplify]: Simplify (/ y 1) into y
4.939 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.939 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.939 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x
4.939 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x
4.939 * [taylor]: Taking taylor expansion of 0.5 in x
4.939 * [backup-simplify]: Simplify 0.5 into 0.5
4.939 * [taylor]: Taking taylor expansion of (/ y x) in x
4.939 * [taylor]: Taking taylor expansion of y in x
4.939 * [backup-simplify]: Simplify y into y
4.939 * [taylor]: Taking taylor expansion of x in x
4.939 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify 1 into 1
4.940 * [backup-simplify]: Simplify (/ y 1) into y
4.940 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y)
4.940 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x)))
4.940 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y
4.940 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y
4.940 * [taylor]: Taking taylor expansion of 0.5 in y
4.940 * [backup-simplify]: Simplify 0.5 into 0.5
4.940 * [taylor]: Taking taylor expansion of (/ y x) in y
4.940 * [taylor]: Taking taylor expansion of y in y
4.940 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify 1 into 1
4.940 * [taylor]: Taking taylor expansion of x in y
4.940 * [backup-simplify]: Simplify x into x
4.940 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.940 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.940 * [backup-simplify]: Simplify 0 into 0
4.940 * [taylor]: Taking taylor expansion of 0 in y
4.940 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x))
4.940 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x)
4.940 * [taylor]: Taking taylor expansion of 0 in y
4.940 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.941 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0
4.941 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.941 * [backup-simplify]: Simplify 0 into 0
4.941 * [taylor]: Taking taylor expansion of 0 in y
4.941 * [backup-simplify]: Simplify 0 into 0
4.941 * [backup-simplify]: Simplify 0 into 0
4.941 * [backup-simplify]: Simplify 0 into 0
4.941 * [backup-simplify]: Simplify 0 into 0
4.941 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y))
4.941 * * * [progress]: simplifying candidates
4.942 * [simplify]: Simplifying:
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sin (/ x (* y 2.0)))
  (cos (/ x (* y 2.0)))
  (log (tan (/ x (* y 2.0))))
  (exp (tan (/ x (* y 2.0))))
  (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))
  (cbrt (tan (/ x (* y 2.0))))
  (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (sqrt (tan (/ x (* y 2.0))))
  (log (sin (/ x (* y 2.0))))
  (exp (sin (/ x (* y 2.0))))
  (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))
  (cbrt (sin (/ x (* y 2.0))))
  (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  (sqrt (sin (/ x (* y 2.0))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3))))
  0
  (* 0.5 (/ x y))
  (* 0.5 (/ x y))
4.942 * * [simplify]: iteration 0: 33 enodes
4.947 * * [simplify]: iteration 1: 57 enodes
4.958 * * [simplify]: iteration 2: 129 enodes
4.993 * * [simplify]: iteration 3: 441 enodes
5.324 * * [simplify]: iteration 4: 1556 enodes
6.623 * * [simplify]: iteration complete: 5001 enodes
6.623 * * [simplify]: Extracting #0: cost 17 inf + 0
6.623 * * [simplify]: Extracting #1: cost 42 inf + 1
6.624 * * [simplify]: Extracting #2: cost 508 inf + 89
6.630 * * [simplify]: Extracting #3: cost 1153 inf + 12055
6.652 * * [simplify]: Extracting #4: cost 1169 inf + 33544
6.694 * * [simplify]: Extracting #5: cost 889 inf + 190417
6.781 * * [simplify]: Extracting #6: cost 177 inf + 590382
6.861 * * [simplify]: Extracting #7: cost 0 inf + 690499
6.938 * * [simplify]: Extracting #8: cost 0 inf + 689993
7.020 * [simplify]: Simplified to:
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sin (/ x (* 2.0 y)))
  (cos (/ x (* 2.0 y)))
  (log (tan (/ x (* 2.0 y))))
  (exp (tan (/ x (* 2.0 y))))
  (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))
  (cbrt (tan (/ x (* 2.0 y))))
  (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (sqrt (tan (/ x (* 2.0 y))))
  (log (sin (/ x (* 2.0 y))))
  (exp (sin (/ x (* 2.0 y))))
  (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))
  (cbrt (sin (/ x (* 2.0 y))))
  (* (sin (/ x (* 2.0 y))) (* (sin (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))
  (sqrt (sin (/ x (* 2.0 y))))
  (sqrt (sin (/ x (* 2.0 y))))
  0
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  0
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  0
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  (* (/ x y) (+ 0.5 (* (* (/ x y) (/ x y)) 0.04166666666666667)))
  0
  (* (/ x y) 0.5)
  (* (/ x y) 0.5)
7.024 * * * [progress]: adding candidates to table
7.287 * [progress]: [Phase 3 of 3] Extracting.
7.287 * * [regime]: Finding splitpoints for: (#<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) (/ (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))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (/ 0 (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) (* (/ (* (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) (/ (tan (/ x (* y 2.0))) (cbrt (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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) (* (/ (* (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))))) (* (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) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))))> #<alt (λ (x y) 1.0)> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* 0.5 (/ x y))))))>)
7.292 * * * [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)
7.292 * * * * [regimes]: Trying to branch on (* y 2.0) from (#<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) (/ (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))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (/ 0 (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) (* (/ (* (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) (/ (tan (/ x (* y 2.0))) (cbrt (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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) (* (/ (* (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))))) (* (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) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))))> #<alt (λ (x y) 1.0)> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* 0.5 (/ x y))))))>)
7.387 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (#<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) (/ (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))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (/ 0 (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) (* (/ (* (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) (/ (tan (/ x (* y 2.0))) (cbrt (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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) (* (/ (* (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))))) (* (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) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))))> #<alt (λ (x y) 1.0)> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* 0.5 (/ x y))))))>)
7.487 * * * * [regimes]: Trying to branch on (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) from (#<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) (/ (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))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (/ 0 (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) (* (/ (* (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) (/ (tan (/ x (* y 2.0))) (cbrt (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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) (* (/ (* (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))))) (* (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) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))))> #<alt (λ (x y) 1.0)> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* 0.5 (/ x y))))))>)
7.583 * * * * [regimes]: Trying to branch on y from (#<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) (/ (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))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (/ 0 (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) (* (/ (* (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) (/ (tan (/ x (* y 2.0))) (cbrt (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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) (* (/ (* (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))))) (* (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) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))))> #<alt (λ (x y) 1.0)> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* 0.5 (/ x y))))))>)
7.697 * * * * [regimes]: Trying to branch on x from (#<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) (/ (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))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (/ 0 (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) (* (/ (* (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) (/ (tan (/ x (* y 2.0))) (cbrt (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))))))> #<alt (λ (x y) (* (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (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))) (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) (* (/ (* (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))))) (* (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) (* (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))))> #<alt (λ (x y) 1.0)> #<alt (λ (x y) (* (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (* 0.5 (/ x y))))))>)
7.799 * * * [regime]: Found split indices: #<option (#s(si 13 255))>
7.799 * [simplify]: Simplifying:
  1.0
7.799 * * [simplify]: iteration 0: 1 enodes
7.799 * * [simplify]: iteration complete: 1 enodes
7.799 * * [simplify]: Extracting #0: cost 1 inf + 0
7.799 * * [simplify]: Extracting #1: cost 0 inf + 1
7.799 * [simplify]: Simplified to:
  1.0
15.348 * [regime-testing]: Baseline error score: 28.73349977355109
15.357 * [regime-testing]: Oracle error score: 26.33661582402371
15.381 * [regime-testing]: End program error score: 28.73349977355109
15.545 * [regime-testing]: Target error score: 29.237553501686662