0.549 * [progress]: [Phase 1 of 3] Setting up.
0.029 * * * [progress]: [1/2] Preparing points
0.145 * * * [progress]: [2/2] Setting up program.
0.148 * [progress]: [Phase 2 of 3] Improving.
0.150 * [simplify]: Simplifying:
  (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
0.151 * [simplify]: Sending expressions to egg_math:
 (/ (- h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0))))
0.200 * * [progress]: iteration 1 / 4
0.200 * * * [progress]: picking best candidate
0.202 * * * * [pick]: Picked  #<alt (λ (x) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))>
0.202 * * * [progress]: localizing error
0.217 * * * [progress]: generating rewritten candidates
0.218 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
0.237 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
0.255 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
0.260 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
0.293 * * * [progress]: generating series expansions
0.294 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
0.298 * [backup-simplify]: Simplify (* (tan x) (tan x)) into (pow (tan x) 2)
0.298 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0
0.299 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.299 * [taylor]: Taking taylor expansion of (tan x) in x
0.300 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.300 * [taylor]: Taking taylor expansion of (sin x) in x
0.300 * [taylor]: Taking taylor expansion of x in x
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [taylor]: Taking taylor expansion of (cos x) in x
0.300 * [taylor]: Taking taylor expansion of x in x
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.302 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.303 * [taylor]: Taking taylor expansion of (tan x) in x
0.303 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.303 * [taylor]: Taking taylor expansion of (sin x) in x
0.303 * [taylor]: Taking taylor expansion of x in x
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of (cos x) in x
0.303 * [taylor]: Taking taylor expansion of x in x
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [backup-simplify]: Simplify (* 1 1) into 1
0.304 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.306 * [backup-simplify]: Simplify (+ 0) into 0
0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.309 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.309 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
0.310 * [backup-simplify]: Simplify 2/3 into 2/3
0.311 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.311 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
0.317 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
0.318 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
0.319 * [backup-simplify]: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45
0.319 * [backup-simplify]: Simplify 17/45 into 17/45
0.321 * [backup-simplify]: Simplify (+ (* 17/45 (pow x 6)) (+ (* 2/3 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4))))
0.321 * [backup-simplify]: Simplify (* (tan (/ 1 x)) (tan (/ 1 x))) into (pow (tan (/ 1 x)) 2)
0.321 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0
0.321 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.321 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.321 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.321 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.321 * [taylor]: Taking taylor expansion of x in x
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (/ 1 1) into 1
0.322 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.322 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.322 * [taylor]: Taking taylor expansion of x in x
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (/ 1 1) into 1
0.322 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.322 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.322 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.322 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.323 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.323 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.323 * [taylor]: Taking taylor expansion of x in x
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (/ 1 1) into 1
0.323 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.323 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.323 * [taylor]: Taking taylor expansion of x in x
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.324 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.324 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.324 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.324 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.325 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.325 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.326 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.328 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.329 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.331 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
0.331 * [backup-simplify]: Simplify (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) into (pow (tan (/ -1 x)) 2)
0.331 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0
0.331 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.331 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.332 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.332 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.332 * [taylor]: Taking taylor expansion of -1 in x
0.332 * [backup-simplify]: Simplify -1 into -1
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 (/ -1 1) into -1
0.332 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.332 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.332 * [taylor]: Taking taylor expansion of -1 in x
0.332 * [backup-simplify]: Simplify -1 into -1
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 (/ -1 1) into -1
0.332 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.333 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.333 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.333 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.333 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.333 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.333 * [taylor]: Taking taylor expansion of -1 in x
0.333 * [backup-simplify]: Simplify -1 into -1
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 (/ -1 1) into -1
0.333 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.333 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.333 * [taylor]: Taking taylor expansion of -1 in x
0.333 * [backup-simplify]: Simplify -1 into -1
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 (/ -1 1) into -1
0.334 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.334 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.334 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
0.334 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
0.334 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.334 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
0.334 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.335 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.336 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.337 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.339 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.341 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
0.341 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
0.341 * [backup-simplify]: Simplify (* (tan x) (tan x)) into (pow (tan x) 2)
0.341 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0
0.341 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.341 * [taylor]: Taking taylor expansion of (tan x) in x
0.341 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.341 * [taylor]: Taking taylor expansion of (sin x) in x
0.341 * [taylor]: Taking taylor expansion of x in x
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [taylor]: Taking taylor expansion of (cos x) in x
0.341 * [taylor]: Taking taylor expansion of x in x
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.342 * [backup-simplify]: Simplify (/ 1 1) into 1
0.342 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.342 * [taylor]: Taking taylor expansion of (tan x) in x
0.342 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.342 * [taylor]: Taking taylor expansion of (sin x) in x
0.342 * [taylor]: Taking taylor expansion of x in x
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [taylor]: Taking taylor expansion of (cos x) in x
0.342 * [taylor]: Taking taylor expansion of x in x
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.343 * [backup-simplify]: Simplify (/ 1 1) into 1
0.343 * [backup-simplify]: Simplify (* 1 1) into 1
0.343 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.344 * [backup-simplify]: Simplify (+ 0) into 0
0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.347 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.348 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
0.348 * [backup-simplify]: Simplify 2/3 into 2/3
0.348 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.349 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0
0.351 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
0.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24
0.355 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
0.356 * [backup-simplify]: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45
0.356 * [backup-simplify]: Simplify 17/45 into 17/45
0.357 * [backup-simplify]: Simplify (+ (* 17/45 (pow x 6)) (+ (* 2/3 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4))))
0.357 * [backup-simplify]: Simplify (* (tan (/ 1 x)) (tan (/ 1 x))) into (pow (tan (/ 1 x)) 2)
0.357 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0
0.357 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.357 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.357 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.357 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.357 * [taylor]: Taking taylor expansion of x in x
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (/ 1 1) into 1
0.357 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.357 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.357 * [taylor]: Taking taylor expansion of x in x
0.357 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.358 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.358 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.358 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.358 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.358 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.358 * [taylor]: Taking taylor expansion of x in x
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.358 * [taylor]: Taking taylor expansion of x in x
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.359 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.359 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.359 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.359 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.359 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.360 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.360 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.361 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.362 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.364 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.366 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
0.366 * [backup-simplify]: Simplify (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) into (pow (tan (/ -1 x)) 2)
0.366 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0
0.366 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.366 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.366 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.366 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.366 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.366 * [taylor]: Taking taylor expansion of -1 in x
0.366 * [backup-simplify]: Simplify -1 into -1
0.366 * [taylor]: Taking taylor expansion of x in x
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (/ -1 1) into -1
0.367 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.367 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.367 * [taylor]: Taking taylor expansion of -1 in x
0.367 * [backup-simplify]: Simplify -1 into -1
0.367 * [taylor]: Taking taylor expansion of x in x
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (/ -1 1) into -1
0.367 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.367 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.367 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.367 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.367 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.367 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.367 * [taylor]: Taking taylor expansion of -1 in x
0.367 * [backup-simplify]: Simplify -1 into -1
0.367 * [taylor]: Taking taylor expansion of x in x
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (/ -1 1) into -1
0.368 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.368 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.368 * [taylor]: Taking taylor expansion of -1 in x
0.368 * [backup-simplify]: Simplify -1 into -1
0.368 * [taylor]: Taking taylor expansion of x in x
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (/ -1 1) into -1
0.368 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.368 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.368 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
0.369 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
0.369 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.369 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.370 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.371 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.378 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0
0.378 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.380 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.382 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
0.382 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
0.382 * [backup-simplify]: Simplify (- 1.0 (* (tan x) (tan x))) into (- 1.0 (pow (tan x) 2))
0.382 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0
0.382 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x
0.382 * [taylor]: Taking taylor expansion of 1.0 in x
0.382 * [backup-simplify]: Simplify 1.0 into 1.0
0.382 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.382 * [taylor]: Taking taylor expansion of (tan x) in x
0.382 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.382 * [taylor]: Taking taylor expansion of (sin x) in x
0.382 * [taylor]: Taking taylor expansion of x in x
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 1 into 1
0.382 * [taylor]: Taking taylor expansion of (cos x) in x
0.382 * [taylor]: Taking taylor expansion of x in x
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 1 into 1
0.383 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.383 * [backup-simplify]: Simplify (/ 1 1) into 1
0.384 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x
0.384 * [taylor]: Taking taylor expansion of 1.0 in x
0.384 * [backup-simplify]: Simplify 1.0 into 1.0
0.384 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.384 * [taylor]: Taking taylor expansion of (tan x) in x
0.384 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.384 * [taylor]: Taking taylor expansion of (sin x) in x
0.384 * [taylor]: Taking taylor expansion of x in x
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [taylor]: Taking taylor expansion of (cos x) in x
0.384 * [taylor]: Taking taylor expansion of x in x
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.384 * [backup-simplify]: Simplify (/ 1 1) into 1
0.385 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.385 * [backup-simplify]: Simplify 1.0 into 1.0
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify (* 1 1) into 1
0.386 * [backup-simplify]: Simplify (- 1) into -1
0.386 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.386 * [backup-simplify]: Simplify -1 into -1
0.386 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.387 * [backup-simplify]: Simplify (+ 0) into 0
0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.388 * [backup-simplify]: Simplify (- 0) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.389 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.390 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.391 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
0.391 * [backup-simplify]: Simplify (- 2/3) into -2/3
0.391 * [backup-simplify]: Simplify (+ 0 -2/3) into -2/3
0.391 * [backup-simplify]: Simplify -2/3 into -2/3
0.391 * [backup-simplify]: Simplify (+ (* -2/3 (pow x 4)) (+ (* -1 (pow x 2)) 1.0)) into (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4))))
0.392 * [backup-simplify]: Simplify (- 1.0 (* (tan (/ 1 x)) (tan (/ 1 x)))) into (- 1.0 (pow (tan (/ 1 x)) 2))
0.392 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0
0.392 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x
0.392 * [taylor]: Taking taylor expansion of 1.0 in x
0.392 * [backup-simplify]: Simplify 1.0 into 1.0
0.392 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.392 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.392 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.392 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.392 * [taylor]: Taking taylor expansion of x in x
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [backup-simplify]: Simplify (/ 1 1) into 1
0.392 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.392 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.392 * [taylor]: Taking taylor expansion of x in x
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [backup-simplify]: Simplify (/ 1 1) into 1
0.392 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.393 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.393 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x
0.393 * [taylor]: Taking taylor expansion of 1.0 in x
0.393 * [backup-simplify]: Simplify 1.0 into 1.0
0.393 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.393 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.393 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.393 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.393 * [taylor]: Taking taylor expansion of x in x
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (/ 1 1) into 1
0.393 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.393 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.393 * [taylor]: Taking taylor expansion of x in x
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (/ 1 1) into 1
0.393 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.394 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.394 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.394 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.394 * [backup-simplify]: Simplify (+ 1.0 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.395 * [backup-simplify]: Simplify (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.395 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.395 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
0.395 * [backup-simplify]: Simplify (- 0) into 0
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.396 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
0.397 * [backup-simplify]: Simplify (- 0) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.398 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
0.398 * [backup-simplify]: Simplify (- 0) into 0
0.398 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.399 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0
0.400 * [backup-simplify]: Simplify (- 0) into 0
0.400 * [backup-simplify]: Simplify (+ 0 0) into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.401 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0
0.402 * [backup-simplify]: Simplify (- 0) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.403 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0
0.404 * [backup-simplify]: Simplify (- 0) into 0
0.404 * [backup-simplify]: Simplify (+ 0 0) into 0
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify (- 1.0 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2))) into (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2)))
0.404 * [backup-simplify]: Simplify (- 1.0 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) into (- 1.0 (pow (tan (/ -1 x)) 2))
0.404 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0
0.404 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x
0.404 * [taylor]: Taking taylor expansion of 1.0 in x
0.404 * [backup-simplify]: Simplify 1.0 into 1.0
0.404 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.404 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.405 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.405 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.405 * [taylor]: Taking taylor expansion of -1 in x
0.405 * [backup-simplify]: Simplify -1 into -1
0.405 * [taylor]: Taking taylor expansion of x in x
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (/ -1 1) into -1
0.405 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.405 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.405 * [taylor]: Taking taylor expansion of -1 in x
0.405 * [backup-simplify]: Simplify -1 into -1
0.405 * [taylor]: Taking taylor expansion of x in x
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (/ -1 1) into -1
0.405 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.406 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.406 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x
0.406 * [taylor]: Taking taylor expansion of 1.0 in x
0.406 * [backup-simplify]: Simplify 1.0 into 1.0
0.406 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.406 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.406 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.406 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.406 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.406 * [taylor]: Taking taylor expansion of -1 in x
0.406 * [backup-simplify]: Simplify -1 into -1
0.406 * [taylor]: Taking taylor expansion of x in x
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (/ -1 1) into -1
0.406 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.406 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.406 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.406 * [taylor]: Taking taylor expansion of -1 in x
0.406 * [backup-simplify]: Simplify -1 into -1
0.406 * [taylor]: Taking taylor expansion of x in x
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (/ -1 1) into -1
0.407 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.407 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.407 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
0.407 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
0.408 * [backup-simplify]: Simplify (+ 1.0 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
0.408 * [backup-simplify]: Simplify (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
0.408 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.408 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
0.408 * [backup-simplify]: Simplify (- 0) into 0
0.409 * [backup-simplify]: Simplify (+ 0 0) into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.409 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
0.410 * [backup-simplify]: Simplify (- 0) into 0
0.410 * [backup-simplify]: Simplify (+ 0 0) into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.411 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
0.411 * [backup-simplify]: Simplify (- 0) into 0
0.411 * [backup-simplify]: Simplify (+ 0 0) into 0
0.411 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.412 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0
0.413 * [backup-simplify]: Simplify (- 0) into 0
0.413 * [backup-simplify]: Simplify (+ 0 0) into 0
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.414 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0
0.415 * [backup-simplify]: Simplify (- 0) into 0
0.415 * [backup-simplify]: Simplify (+ 0 0) into 0
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.417 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0
0.417 * [backup-simplify]: Simplify (- 0) into 0
0.417 * [backup-simplify]: Simplify (+ 0 0) into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify (- 1.0 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2))) into (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2)))
0.417 * * * * [progress]: [ 4 / 4 ] generating series at (2)
0.418 * [backup-simplify]: Simplify (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) into (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0))
0.418 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0
0.418 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x
0.418 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x
0.418 * [taylor]: Taking taylor expansion of 1.0 in x
0.418 * [backup-simplify]: Simplify 1.0 into 1.0
0.418 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.418 * [taylor]: Taking taylor expansion of (tan x) in x
0.418 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.418 * [taylor]: Taking taylor expansion of (sin x) in x
0.418 * [taylor]: Taking taylor expansion of x in x
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify 1 into 1
0.418 * [taylor]: Taking taylor expansion of (cos x) in x
0.418 * [taylor]: Taking taylor expansion of x in x
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify 1 into 1
0.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.419 * [backup-simplify]: Simplify (/ 1 1) into 1
0.419 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
0.419 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.419 * [taylor]: Taking taylor expansion of (tan x) in x
0.419 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.419 * [taylor]: Taking taylor expansion of (sin x) in x
0.419 * [taylor]: Taking taylor expansion of x in x
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 1 into 1
0.419 * [taylor]: Taking taylor expansion of (cos x) in x
0.419 * [taylor]: Taking taylor expansion of x in x
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.420 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [taylor]: Taking taylor expansion of 1.0 in x
0.420 * [backup-simplify]: Simplify 1.0 into 1.0
0.420 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.420 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.421 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
0.421 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x
0.421 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x
0.421 * [taylor]: Taking taylor expansion of 1.0 in x
0.421 * [backup-simplify]: Simplify 1.0 into 1.0
0.421 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.421 * [taylor]: Taking taylor expansion of (tan x) in x
0.421 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.421 * [taylor]: Taking taylor expansion of (sin x) in x
0.421 * [taylor]: Taking taylor expansion of x in x
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [taylor]: Taking taylor expansion of (cos x) in x
0.421 * [taylor]: Taking taylor expansion of x in x
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.422 * [backup-simplify]: Simplify (/ 1 1) into 1
0.422 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
0.422 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.422 * [taylor]: Taking taylor expansion of (tan x) in x
0.422 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.422 * [taylor]: Taking taylor expansion of (sin x) in x
0.422 * [taylor]: Taking taylor expansion of x in x
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 1 into 1
0.422 * [taylor]: Taking taylor expansion of (cos x) in x
0.422 * [taylor]: Taking taylor expansion of x in x
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 1 into 1
0.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.422 * [backup-simplify]: Simplify (/ 1 1) into 1
0.423 * [taylor]: Taking taylor expansion of 1.0 in x
0.423 * [backup-simplify]: Simplify 1.0 into 1.0
0.423 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.423 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.423 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
0.423 * [backup-simplify]: Simplify 1.0 into 1.0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0
0.424 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.425 * [backup-simplify]: Simplify (- 1) into -1
0.425 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.425 * [backup-simplify]: Simplify (+ 1 0) into 1
0.428 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 2.0)
0.428 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
0.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.429 * [backup-simplify]: Simplify (+ 0) into 0
0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.430 * [backup-simplify]: Simplify (- 0) into 0
0.430 * [backup-simplify]: Simplify (+ 0 0) into 0
0.430 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.431 * [backup-simplify]: Simplify (+ 0) into 0
0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.432 * [backup-simplify]: Simplify (+ 0 0) into 0
0.433 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* (- 2.0) (/ 0 1.0)))) into 0
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.435 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.435 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
0.436 * [backup-simplify]: Simplify (- 2/3) into -2/3
0.436 * [backup-simplify]: Simplify (+ 0 -2/3) into -2/3
0.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.438 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.439 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
0.439 * [backup-simplify]: Simplify (+ 2/3 0) into 2/3
0.443 * [backup-simplify]: Simplify (- (/ -2/3 1.0) (+ (* 1.0 (/ 2/3 1.0)) (* 0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)) (* 0 (/ 0 1.0)))) into 0.6666666666666669
0.443 * [backup-simplify]: Simplify 0.6666666666666669 into 0.6666666666666669
0.444 * [backup-simplify]: Simplify (+ (* 0.6666666666666669 (pow x 4)) (+ (* (- 2.0) (pow x 2)) 1.0)) into (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2)))
0.444 * [backup-simplify]: Simplify (/ (- 1.0 (* (tan (/ 1 x)) (tan (/ 1 x)))) (+ 1.0 (* (tan (/ 1 x)) (tan (/ 1 x))))) into (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0))
0.444 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0
0.444 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
0.444 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x
0.444 * [taylor]: Taking taylor expansion of 1.0 in x
0.444 * [backup-simplify]: Simplify 1.0 into 1.0
0.444 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.444 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.444 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.444 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.444 * [taylor]: Taking taylor expansion of x in x
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (/ 1 1) into 1
0.444 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.444 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.444 * [taylor]: Taking taylor expansion of x in x
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (/ 1 1) into 1
0.445 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.445 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.445 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
0.445 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.445 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.445 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.445 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.445 * [taylor]: Taking taylor expansion of x in x
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (/ 1 1) into 1
0.445 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.445 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.445 * [taylor]: Taking taylor expansion of x in x
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (/ 1 1) into 1
0.446 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.446 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.446 * [taylor]: Taking taylor expansion of 1.0 in x
0.446 * [backup-simplify]: Simplify 1.0 into 1.0
0.446 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.446 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.447 * [backup-simplify]: Simplify (+ 1.0 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.447 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.447 * [backup-simplify]: Simplify (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) into (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.447 * [backup-simplify]: Simplify (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))
0.447 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
0.447 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x
0.447 * [taylor]: Taking taylor expansion of 1.0 in x
0.448 * [backup-simplify]: Simplify 1.0 into 1.0
0.448 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.448 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.448 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.448 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.448 * [taylor]: Taking taylor expansion of x in x
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [backup-simplify]: Simplify (/ 1 1) into 1
0.448 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.448 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.448 * [taylor]: Taking taylor expansion of x in x
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [backup-simplify]: Simplify (/ 1 1) into 1
0.448 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.448 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.448 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
0.448 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.449 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.449 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.449 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.449 * [taylor]: Taking taylor expansion of x in x
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (/ 1 1) into 1
0.449 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.449 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.449 * [taylor]: Taking taylor expansion of x in x
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (/ 1 1) into 1
0.449 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.449 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.449 * [taylor]: Taking taylor expansion of 1.0 in x
0.449 * [backup-simplify]: Simplify 1.0 into 1.0
0.450 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.450 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.450 * [backup-simplify]: Simplify (+ 1.0 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.450 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.451 * [backup-simplify]: Simplify (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) into (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.451 * [backup-simplify]: Simplify (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))
0.451 * [backup-simplify]: Simplify (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0)) into (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))
0.452 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.452 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
0.452 * [backup-simplify]: Simplify (- 0) into 0
0.452 * [backup-simplify]: Simplify (+ 0 0) into 0
0.453 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.453 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
0.453 * [backup-simplify]: Simplify (+ 0 0) into 0
0.454 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0)) (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))))) into 0
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.455 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
0.455 * [backup-simplify]: Simplify (- 0) into 0
0.455 * [backup-simplify]: Simplify (+ 0 0) into 0
0.455 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.456 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0)) (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))))) into 0
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.458 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
0.459 * [backup-simplify]: Simplify (- 0) into 0
0.459 * [backup-simplify]: Simplify (+ 0 0) into 0
0.459 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.460 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.461 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0)) (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))))) into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.463 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0
0.463 * [backup-simplify]: Simplify (- 0) into 0
0.463 * [backup-simplify]: Simplify (+ 0 0) into 0
0.463 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.464 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0
0.464 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0)) (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))))) into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.467 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0
0.468 * [backup-simplify]: Simplify (- 0) into 0
0.468 * [backup-simplify]: Simplify (+ 0 0) into 0
0.468 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.473 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0
0.474 * [backup-simplify]: Simplify (+ 0 0) into 0
0.476 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0)) (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))))) into 0
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.477 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0
0.477 * [backup-simplify]: Simplify (- 0) into 0
0.478 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.479 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.482 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (- 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0)) (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (* 0 (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))))) into 0
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify (/ (- 1.0 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2))) (+ 1.0 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)))) into (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))
0.482 * [backup-simplify]: Simplify (/ (- 1.0 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) (+ 1.0 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) into (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0))
0.483 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0
0.483 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
0.483 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x
0.483 * [taylor]: Taking taylor expansion of 1.0 in x
0.483 * [backup-simplify]: Simplify 1.0 into 1.0
0.483 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.483 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.483 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.483 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.483 * [taylor]: Taking taylor expansion of -1 in x
0.483 * [backup-simplify]: Simplify -1 into -1
0.483 * [taylor]: Taking taylor expansion of x in x
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (/ -1 1) into -1
0.483 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.483 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.483 * [taylor]: Taking taylor expansion of -1 in x
0.483 * [backup-simplify]: Simplify -1 into -1
0.483 * [taylor]: Taking taylor expansion of x in x
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (/ -1 1) into -1
0.484 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.484 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.484 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
0.484 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.484 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.484 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.484 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.484 * [taylor]: Taking taylor expansion of -1 in x
0.484 * [backup-simplify]: Simplify -1 into -1
0.484 * [taylor]: Taking taylor expansion of x in x
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (/ -1 1) into -1
0.484 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.484 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.484 * [taylor]: Taking taylor expansion of -1 in x
0.484 * [backup-simplify]: Simplify -1 into -1
0.484 * [taylor]: Taking taylor expansion of x in x
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (/ -1 1) into -1
0.485 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.485 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.485 * [taylor]: Taking taylor expansion of 1.0 in x
0.485 * [backup-simplify]: Simplify 1.0 into 1.0
0.485 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
0.485 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
0.486 * [backup-simplify]: Simplify (+ 1.0 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
0.486 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
0.486 * [backup-simplify]: Simplify (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) into (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)
0.486 * [backup-simplify]: Simplify (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) into (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))
0.486 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
0.486 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x
0.486 * [taylor]: Taking taylor expansion of 1.0 in x
0.486 * [backup-simplify]: Simplify 1.0 into 1.0
0.487 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.487 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.487 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.487 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.487 * [taylor]: Taking taylor expansion of -1 in x
0.487 * [backup-simplify]: Simplify -1 into -1
0.487 * [taylor]: Taking taylor expansion of x in x
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (/ -1 1) into -1
0.487 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.487 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.487 * [taylor]: Taking taylor expansion of -1 in x
0.487 * [backup-simplify]: Simplify -1 into -1
0.487 * [taylor]: Taking taylor expansion of x in x
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (/ -1 1) into -1
0.487 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.488 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.488 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
0.488 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.488 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.488 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.488 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.488 * [taylor]: Taking taylor expansion of -1 in x
0.488 * [backup-simplify]: Simplify -1 into -1
0.488 * [taylor]: Taking taylor expansion of x in x
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.488 * [backup-simplify]: Simplify (/ -1 1) into -1
0.488 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.488 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.488 * [taylor]: Taking taylor expansion of -1 in x
0.488 * [backup-simplify]: Simplify -1 into -1
0.488 * [taylor]: Taking taylor expansion of x in x
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.489 * [backup-simplify]: Simplify (/ -1 1) into -1
0.489 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.489 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.489 * [taylor]: Taking taylor expansion of 1.0 in x
0.489 * [backup-simplify]: Simplify 1.0 into 1.0
0.489 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
0.489 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
0.489 * [backup-simplify]: Simplify (+ 1.0 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
0.490 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
0.490 * [backup-simplify]: Simplify (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) into (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)
0.490 * [backup-simplify]: Simplify (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) into (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))
0.491 * [backup-simplify]: Simplify (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) into (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))
0.491 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.491 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
0.491 * [backup-simplify]: Simplify (- 0) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.492 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.493 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))))) into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.494 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
0.494 * [backup-simplify]: Simplify (- 0) into 0
0.494 * [backup-simplify]: Simplify (+ 0 0) into 0
0.495 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.495 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
0.495 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))))) into 0
0.496 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.497 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
0.498 * [backup-simplify]: Simplify (- 0) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.499 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
0.499 * [backup-simplify]: Simplify (+ 0 0) into 0
0.500 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))))) into 0
0.500 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.502 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0
0.502 * [backup-simplify]: Simplify (- 0) into 0
0.502 * [backup-simplify]: Simplify (+ 0 0) into 0
0.502 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.503 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.505 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))))) into 0
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.507 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0
0.507 * [backup-simplify]: Simplify (- 0) into 0
0.507 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.509 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0
0.509 * [backup-simplify]: Simplify (+ 0 0) into 0
0.511 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))))) into 0
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.513 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0
0.513 * [backup-simplify]: Simplify (- 0) into 0
0.513 * [backup-simplify]: Simplify (+ 0 0) into 0
0.514 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.515 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0
0.515 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (- 1.0 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (* 0 (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))))) into 0
0.517 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify (/ (- 1.0 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2))) (+ (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) 1.0)) into (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))
0.518 * * * [progress]: simplifying candidates
0.520 * [simplify]: Simplifying:
  (+ 1 1)
  (* (tan x) (tan x))
  (+ 1 1)
  (+ (log (tan x)) (log (tan x)))
  (log (* (tan x) (tan x)))
  (exp (* (tan x) (tan x)))
  (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x)))
  (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x))))
  (cbrt (* (tan x) (tan x)))
  (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x)))
  (sqrt (* (tan x) (tan x)))
  (sqrt (* (tan x) (tan x)))
  (* (sin x) (sin x))
  (* (cos x) (cos x))
  (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x))))
  (* (cbrt (tan x)) (cbrt (tan x)))
  (* (sqrt (tan x)) (sqrt (tan x)))
  (* (sqrt (tan x)) (sqrt (tan x)))
  (* 1 1)
  (* (tan x) (tan x))
  (* (sqrt (tan x)) (sqrt (tan x)))
  (* (sqrt (tan x)) (sqrt (tan x)))
  (* 2 1)
  (* (tan x) (* (cbrt (tan x)) (cbrt (tan x))))
  (* (tan x) (sqrt (tan x)))
  (* (tan x) 1)
  (* (cbrt (tan x)) (tan x))
  (* (sqrt (tan x)) (tan x))
  (* (tan x) (tan x))
  (* (tan x) (sin x))
  (* (sin x) (tan x))
  (+ 1 1)
  (* (tan x) (tan x))
  (+ 1 1)
  (+ (log (tan x)) (log (tan x)))
  (log (* (tan x) (tan x)))
  (exp (* (tan x) (tan x)))
  (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x)))
  (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x))))
  (cbrt (* (tan x) (tan x)))
  (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x)))
  (sqrt (* (tan x) (tan x)))
  (sqrt (* (tan x) (tan x)))
  (* (sin x) (sin x))
  (* (cos x) (cos x))
  (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x))))
  (* (cbrt (tan x)) (cbrt (tan x)))
  (* (sqrt (tan x)) (sqrt (tan x)))
  (* (sqrt (tan x)) (sqrt (tan x)))
  (* 1 1)
  (* (tan x) (tan x))
  (* (sqrt (tan x)) (sqrt (tan x)))
  (* (sqrt (tan x)) (sqrt (tan x)))
  (* 2 1)
  (* (tan x) (* (cbrt (tan x)) (cbrt (tan x))))
  (* (tan x) (sqrt (tan x)))
  (* (tan x) 1)
  (* (cbrt (tan x)) (tan x))
  (* (sqrt (tan x)) (tan x))
  (* (tan x) (tan x))
  (* (tan x) (sin x))
  (* (sin x) (tan x))
  (/ (exp 1.0) (exp (* (tan x) (tan x))))
  (log (- 1.0 (* (tan x) (tan x))))
  (exp (- 1.0 (* (tan x) (tan x))))
  (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x)))))
  (cbrt (- 1.0 (* (tan x) (tan x))))
  (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))))
  (sqrt (- 1.0 (* (tan x) (tan x))))
  (sqrt (- 1.0 (* (tan x) (tan x))))
  (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3))
  (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x)))))
  (- (* (tan x) (tan x)))
  (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))
  (+ 1.0 (* (tan x) (tan x)))
  (+ (sqrt 1.0) (tan x))
  (- (sqrt 1.0) (tan x))
  (- (* (tan x) (tan x)))
  (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 (* (tan x) (tan x)))))
  (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))
  (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))
  (/ (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))))
  (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))))
  (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))
  (* (* (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))
  (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))
  (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))
  (- (- 1.0 (* (tan x) (tan x))))
  (- (+ 1.0 (* (tan x) (tan x))))
  (/ 1.0 (+ 1.0 (* (tan x) (tan x))))
  (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))
  (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1)
  (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))
  (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1)
  (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))
  (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 1)
  (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
  (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (+ (sqrt 1.0) (tan x)) 1)
  (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x))))
  (/ 1 (+ 1.0 (* (tan x) (tan x))))
  (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))))
  (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (- 1.0 (* (tan x) (tan x))) 1)
  (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x)))))
  (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x)))))
  (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))))
  (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x)))
  (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3)))
  (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))))
  (* (+ 1.0 (* (tan x) (tan x))) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x))))))
  (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
  (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4))))
  (/ (pow (sin x) 2) (pow (cos x) 2))
  (/ (pow (sin x) 2) (pow (cos x) 2))
  (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4))))
  (/ (pow (sin x) 2) (pow (cos x) 2))
  (/ (pow (sin x) 2) (pow (cos x) 2))
  (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4))))
  (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2)))
  (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2)))
  (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2)))
  (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))
  (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))
0.520 * [simplify]: Sending expressions to egg_math:
 (+ 1 1)
 (* (tan h0) (tan h0))
 (+ 1 1)
 (+ (log (tan h0)) (log (tan h0)))
 (log (* (tan h0) (tan h0)))
 (exp (* (tan h0) (tan h0)))
 (* (* (* (tan h0) (tan h0)) (tan h0)) (* (* (tan h0) (tan h0)) (tan h0)))
 (* (cbrt (* (tan h0) (tan h0))) (cbrt (* (tan h0) (tan h0))))
 (cbrt (* (tan h0) (tan h0)))
 (* (* (* (tan h0) (tan h0)) (* (tan h0) (tan h0))) (* (tan h0) (tan h0)))
 (sqrt (* (tan h0) (tan h0)))
 (sqrt (* (tan h0) (tan h0)))
 (* (sin h0) (sin h0))
 (* (cos h0) (cos h0))
 (* (* (cbrt (tan h0)) (cbrt (tan h0))) (* (cbrt (tan h0)) (cbrt (tan h0))))
 (* (cbrt (tan h0)) (cbrt (tan h0)))
 (* (sqrt (tan h0)) (sqrt (tan h0)))
 (* (sqrt (tan h0)) (sqrt (tan h0)))
 (* 1 1)
 (* (tan h0) (tan h0))
 (* (sqrt (tan h0)) (sqrt (tan h0)))
 (* (sqrt (tan h0)) (sqrt (tan h0)))
 (* 2 1)
 (* (tan h0) (* (cbrt (tan h0)) (cbrt (tan h0))))
 (* (tan h0) (sqrt (tan h0)))
 (* (tan h0) 1)
 (* (cbrt (tan h0)) (tan h0))
 (* (sqrt (tan h0)) (tan h0))
 (* (tan h0) (tan h0))
 (* (tan h0) (sin h0))
 (* (sin h0) (tan h0))
 (+ 1 1)
 (* (tan h0) (tan h0))
 (+ 1 1)
 (+ (log (tan h0)) (log (tan h0)))
 (log (* (tan h0) (tan h0)))
 (exp (* (tan h0) (tan h0)))
 (* (* (* (tan h0) (tan h0)) (tan h0)) (* (* (tan h0) (tan h0)) (tan h0)))
 (* (cbrt (* (tan h0) (tan h0))) (cbrt (* (tan h0) (tan h0))))
 (cbrt (* (tan h0) (tan h0)))
 (* (* (* (tan h0) (tan h0)) (* (tan h0) (tan h0))) (* (tan h0) (tan h0)))
 (sqrt (* (tan h0) (tan h0)))
 (sqrt (* (tan h0) (tan h0)))
 (* (sin h0) (sin h0))
 (* (cos h0) (cos h0))
 (* (* (cbrt (tan h0)) (cbrt (tan h0))) (* (cbrt (tan h0)) (cbrt (tan h0))))
 (* (cbrt (tan h0)) (cbrt (tan h0)))
 (* (sqrt (tan h0)) (sqrt (tan h0)))
 (* (sqrt (tan h0)) (sqrt (tan h0)))
 (* 1 1)
 (* (tan h0) (tan h0))
 (* (sqrt (tan h0)) (sqrt (tan h0)))
 (* (sqrt (tan h0)) (sqrt (tan h0)))
 (* 2 1)
 (* (tan h0) (* (cbrt (tan h0)) (cbrt (tan h0))))
 (* (tan h0) (sqrt (tan h0)))
 (* (tan h0) 1)
 (* (cbrt (tan h0)) (tan h0))
 (* (sqrt (tan h0)) (tan h0))
 (* (tan h0) (tan h0))
 (* (tan h0) (sin h0))
 (* (sin h0) (tan h0))
 (/ (exp h1) (exp (* (tan h0) (tan h0))))
 (log (- h1 (* (tan h0) (tan h0))))
 (exp (- h1 (* (tan h0) (tan h0))))
 (* (cbrt (- h1 (* (tan h0) (tan h0)))) (cbrt (- h1 (* (tan h0) (tan h0)))))
 (cbrt (- h1 (* (tan h0) (tan h0))))
 (* (* (- h1 (* (tan h0) (tan h0))) (- h1 (* (tan h0) (tan h0)))) (- h1 (* (tan h0) (tan h0))))
 (sqrt (- h1 (* (tan h0) (tan h0))))
 (sqrt (- h1 (* (tan h0) (tan h0))))
 (- (pow h1 3) (pow (* (tan h0) (tan h0)) 3))
 (+ (* h1 h1) (+ (* (* (tan h0) (tan h0)) (* (tan h0) (tan h0))) (* h1 (* (tan h0) (tan h0)))))
 (- (* (tan h0) (tan h0)))
 (- (* h1 h1) (* (* (tan h0) (tan h0)) (* (tan h0) (tan h0))))
 (+ h1 (* (tan h0) (tan h0)))
 (+ (sqrt h1) (tan h0))
 (- (sqrt h1) (tan h0))
 (- (* (tan h0) (tan h0)))
 (- (log (- h1 (* (tan h0) (tan h0)))) (log (+ h1 (* (tan h0) (tan h0)))))
 (log (/ (- h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0)))))
 (exp (/ (- h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0)))))
 (/ (* (* (- h1 (* (tan h0) (tan h0))) (- h1 (* (tan h0) (tan h0)))) (- h1 (* (tan h0) (tan h0)))) (* (* (+ h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0)))) (+ h1 (* (tan h0) (tan h0)))))
 (* (cbrt (/ (- h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0))))) (cbrt (/ (- h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0))))))
 (cbrt (/ (- h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0)))))
 (* (* (/ (- h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0)))) (/ (- h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0))))) (/ (- h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0)))))
 (sqrt (/ (- h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0)))))
 (sqrt (/ (- h1 (* (tan h0) (tan h0))) (+ h1 (* (tan h0) (tan h0)))))
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