0.607 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.167 * * * [progress]: [2/2] Setting up program.
0.170 * [progress]: [Phase 2 of 3] Improving.
0.173 * [simplify]: Simplifying:
  (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
0.174 * * [simplify]: Extracting # 0 : cost  0
0.174 * * [simplify]: Extracting # 1 : cost  0
0.174 * * [simplify]: Extracting # 2 : cost  0
0.174 * * [simplify]: Extracting # 3 : cost  0
0.174 * * [simplify]: Extracting # 4 : cost  0
0.174 * * [simplify]: Extracting # 5 : cost  0
0.174 * * [simplify]: Extracting # 6 : cost  0
0.174 * * [simplify]: iteration  0 :  7  enodes  (cost  15 )
0.181 * * [simplify]: Extracting # 0 : cost  0
0.181 * * [simplify]: Extracting # 1 : cost  0
0.181 * * [simplify]: Extracting # 2 : cost  0
0.181 * * [simplify]: iteration  1 :  13  enodes  (cost  15 )
0.183 * * [simplify]: Extracting # 0 : cost  0
0.183 * * [simplify]: Extracting # 1 : cost  0
0.183 * * [simplify]: Extracting # 2 : cost  0
0.183 * * [simplify]: iteration  2 :  21  enodes  (cost  15 )
0.186 * * [simplify]: Extracting # 0 : cost  0
0.186 * * [simplify]: Extracting # 1 : cost  0
0.186 * * [simplify]: Extracting # 2 : cost  0
0.186 * * [simplify]: iteration  3 :  26  enodes  (cost  15 )
0.190 * * [simplify]: Extracting # 0 : cost  0
0.190 * * [simplify]: Extracting # 1 : cost  0
0.190 * * [simplify]: Extracting # 2 : cost  0
0.190 * * [simplify]: iteration  4 :  34  enodes  (cost  15 )
0.196 * * [simplify]: Extracting # 0 : cost  0
0.196 * * [simplify]: iteration  5 :  37  enodes  (cost  15 )
0.201 * * [simplify]: Extracting # 0 : cost  0
0.201 * * [simplify]: iteration done:  37  enodes  (cost  15 )
0.202 * [simplify]: Simplified to:
  (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
0.203 * * [progress]: iteration 1 / 4
0.203 * * * [progress]: picking best candidate
0.205 * * * * [pick]: Picked  #<alt (λ (x) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))>
0.205 * * * [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)
0.272 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.291 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
0.300 * * * [progress]: generating series expansions
0.300 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
0.304 * [backup-simplify]: Simplify (* (tan x) (tan x)) into (pow (tan x) 2)
0.304 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0
0.305 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.305 * [taylor]: Taking taylor expansion of (tan x) in x
0.307 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.307 * [taylor]: Taking taylor expansion of (sin x) in x
0.307 * [taylor]: Taking taylor expansion of x in x
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [taylor]: Taking taylor expansion of (cos x) in x
0.307 * [taylor]: Taking taylor expansion of x in x
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.309 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.309 * [taylor]: Taking taylor expansion of (tan x) in x
0.309 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.309 * [taylor]: Taking taylor expansion of (sin x) in x
0.309 * [taylor]: Taking taylor expansion of x in x
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [taylor]: Taking taylor expansion of (cos x) in x
0.309 * [taylor]: Taking taylor expansion of x in x
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.310 * [backup-simplify]: Simplify (/ 1 1) into 1
0.311 * [backup-simplify]: Simplify (* 1 1) into 1
0.311 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.312 * [backup-simplify]: Simplify (+ 0) into 0
0.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.315 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.316 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
0.316 * [backup-simplify]: Simplify 2/3 into 2/3
0.317 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.318 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.322 * [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
0.323 * [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
0.324 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
0.325 * [backup-simplify]: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45
0.325 * [backup-simplify]: Simplify 17/45 into 17/45
0.327 * [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))))
0.327 * [backup-simplify]: Simplify (* (tan (/ 1 x)) (tan (/ 1 x))) into (pow (tan (/ 1 x)) 2)
0.327 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0
0.327 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.327 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.328 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.328 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.328 * [taylor]: Taking taylor expansion of x in x
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.328 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.328 * [taylor]: Taking taylor expansion of x in x
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.329 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.329 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.329 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.329 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.329 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.329 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.329 * [taylor]: Taking taylor expansion of x in x
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (/ 1 1) into 1
0.329 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.329 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.329 * [taylor]: Taking taylor expansion of x in x
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.330 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.330 * [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))
0.330 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.330 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.331 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.331 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
0.331 * [backup-simplify]: Simplify 0 into 0
0.332 * [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
0.332 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.333 * [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
0.334 * [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
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [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
0.335 * [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
0.335 * [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)))) (* 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 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
0.337 * [backup-simplify]: Simplify (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) into (pow (tan (/ -1 x)) 2)
0.337 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0
0.337 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.338 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.338 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.338 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.338 * [taylor]: Taking taylor expansion of -1 in x
0.338 * [backup-simplify]: Simplify -1 into -1
0.338 * [taylor]: Taking taylor expansion of x in x
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 1 into 1
0.338 * [backup-simplify]: Simplify (/ -1 1) into -1
0.338 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.338 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.338 * [taylor]: Taking taylor expansion of -1 in x
0.338 * [backup-simplify]: Simplify -1 into -1
0.338 * [taylor]: Taking taylor expansion of x in x
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 1 into 1
0.338 * [backup-simplify]: Simplify (/ -1 1) into -1
0.339 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.339 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.339 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.339 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.339 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.339 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.339 * [taylor]: Taking taylor expansion of -1 in x
0.339 * [backup-simplify]: Simplify -1 into -1
0.339 * [taylor]: Taking taylor expansion of x in x
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify (/ -1 1) into -1
0.339 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.339 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.339 * [taylor]: Taking taylor expansion of -1 in x
0.339 * [backup-simplify]: Simplify -1 into -1
0.339 * [taylor]: Taking taylor expansion of x in x
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.340 * [backup-simplify]: Simplify (/ -1 1) into -1
0.340 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.340 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.340 * [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))
0.340 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
0.340 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.341 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.341 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.342 * [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
0.342 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.343 * [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
0.344 * [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
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [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
0.345 * [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
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [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
0.352 * [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
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
0.352 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
0.353 * [backup-simplify]: Simplify (* (tan x) (tan x)) into (pow (tan x) 2)
0.353 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0
0.353 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.353 * [taylor]: Taking taylor expansion of (tan x) in x
0.353 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.353 * [taylor]: Taking taylor expansion of (sin x) in x
0.353 * [taylor]: Taking taylor expansion of x in x
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [taylor]: Taking taylor expansion of (cos x) in x
0.353 * [taylor]: Taking taylor expansion of x in x
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.354 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.354 * [taylor]: Taking taylor expansion of (tan x) in x
0.354 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.354 * [taylor]: Taking taylor expansion of (sin x) in x
0.354 * [taylor]: Taking taylor expansion of x in x
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [taylor]: Taking taylor expansion of (cos x) in x
0.354 * [taylor]: Taking taylor expansion of x in x
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [backup-simplify]: Simplify (* 1 1) into 1
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.356 * [backup-simplify]: Simplify (+ 0) into 0
0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.358 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.359 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.359 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
0.359 * [backup-simplify]: Simplify 2/3 into 2/3
0.360 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.361 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.364 * [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
0.366 * [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
0.367 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
0.368 * [backup-simplify]: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45
0.368 * [backup-simplify]: Simplify 17/45 into 17/45
0.369 * [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))))
0.369 * [backup-simplify]: Simplify (* (tan (/ 1 x)) (tan (/ 1 x))) into (pow (tan (/ 1 x)) 2)
0.369 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0
0.369 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.369 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.369 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.369 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.369 * [taylor]: Taking taylor expansion of x in x
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.370 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.370 * [taylor]: Taking taylor expansion of x in x
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.370 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.370 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.370 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.370 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.370 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.370 * [taylor]: Taking taylor expansion of x in x
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.371 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.371 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.371 * [taylor]: Taking taylor expansion of x in x
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify (/ 1 1) into 1
0.371 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.371 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.371 * [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))
0.371 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.372 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.372 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.373 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [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
0.374 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [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
0.375 * [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
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [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
0.377 * [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
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [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
0.378 * [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
0.378 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
0.379 * [backup-simplify]: Simplify (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) into (pow (tan (/ -1 x)) 2)
0.379 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0
0.379 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.379 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.379 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.379 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.379 * [taylor]: Taking taylor expansion of -1 in x
0.379 * [backup-simplify]: Simplify -1 into -1
0.379 * [taylor]: Taking taylor expansion of x in x
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (/ -1 1) into -1
0.379 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.379 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.379 * [taylor]: Taking taylor expansion of -1 in x
0.380 * [backup-simplify]: Simplify -1 into -1
0.380 * [taylor]: Taking taylor expansion of x in x
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.380 * [backup-simplify]: Simplify (/ -1 1) into -1
0.380 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.380 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.380 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.380 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.380 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.380 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.380 * [taylor]: Taking taylor expansion of -1 in x
0.380 * [backup-simplify]: Simplify -1 into -1
0.380 * [taylor]: Taking taylor expansion of x in x
0.380 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (/ -1 1) into -1
0.381 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.381 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.381 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.381 * [taylor]: Taking taylor expansion of -1 in x
0.381 * [backup-simplify]: Simplify -1 into -1
0.381 * [taylor]: Taking taylor expansion of x in x
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (/ -1 1) into -1
0.381 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.381 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.381 * [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))
0.382 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
0.382 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.382 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.383 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [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
0.384 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [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
0.385 * [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
0.385 * [backup-simplify]: Simplify 0 into 0
0.386 * [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
0.387 * [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
0.387 * [backup-simplify]: Simplify 0 into 0
0.388 * [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
0.389 * [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
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
0.390 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.390 * [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))
0.390 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0
0.390 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x
0.390 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x
0.390 * [taylor]: Taking taylor expansion of 1.0 in x
0.390 * [backup-simplify]: Simplify 1.0 into 1.0
0.390 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.390 * [taylor]: Taking taylor expansion of (tan x) in x
0.390 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.390 * [taylor]: Taking taylor expansion of (sin x) in x
0.390 * [taylor]: Taking taylor expansion of x in x
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.390 * [taylor]: Taking taylor expansion of (cos x) in x
0.390 * [taylor]: Taking taylor expansion of x in x
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 1 into 1
0.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.391 * [backup-simplify]: Simplify (/ 1 1) into 1
0.391 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
0.391 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.391 * [taylor]: Taking taylor expansion of (tan x) in x
0.391 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.391 * [taylor]: Taking taylor expansion of (sin x) in x
0.391 * [taylor]: Taking taylor expansion of x in x
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 1 into 1
0.391 * [taylor]: Taking taylor expansion of (cos x) in x
0.391 * [taylor]: Taking taylor expansion of x in x
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 1 into 1
0.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.392 * [backup-simplify]: Simplify (/ 1 1) into 1
0.392 * [taylor]: Taking taylor expansion of 1.0 in x
0.392 * [backup-simplify]: Simplify 1.0 into 1.0
0.393 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.393 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.393 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
0.393 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x
0.393 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan 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 x) 2) in x
0.393 * [taylor]: Taking taylor expansion of (tan x) in x
0.393 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.393 * [taylor]: Taking taylor expansion of (sin 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 * [taylor]: Taking taylor expansion of (cos 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
0.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.394 * [backup-simplify]: Simplify (/ 1 1) into 1
0.394 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
0.394 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.394 * [taylor]: Taking taylor expansion of (tan x) in x
0.394 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.394 * [taylor]: Taking taylor expansion of (sin x) in x
0.394 * [taylor]: Taking taylor expansion of x in x
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [taylor]: Taking taylor expansion of (cos x) in x
0.394 * [taylor]: Taking taylor expansion of x in x
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.395 * [backup-simplify]: Simplify (/ 1 1) into 1
0.395 * [taylor]: Taking taylor expansion of 1.0 in x
0.395 * [backup-simplify]: Simplify 1.0 into 1.0
0.395 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.396 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
0.396 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
0.396 * [backup-simplify]: Simplify 1.0 into 1.0
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify (* 1 1) into 1
0.397 * [backup-simplify]: Simplify (- 1) into -1
0.398 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.398 * [backup-simplify]: Simplify (* 1 1) into 1
0.398 * [backup-simplify]: Simplify (+ 1 0) into 1
0.401 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 2.0)
0.401 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
0.401 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.402 * [backup-simplify]: Simplify (+ 0) into 0
0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.403 * [backup-simplify]: Simplify (- 0) into 0
0.403 * [backup-simplify]: Simplify (+ 0 0) into 0
0.403 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.404 * [backup-simplify]: Simplify (+ 0) into 0
0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* (- 2.0) (/ 0 1.0)))) into 0
0.406 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.409 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.409 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
0.409 * [backup-simplify]: Simplify (- 2/3) into -2/3
0.410 * [backup-simplify]: Simplify (+ 0 -2/3) into -2/3
0.411 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.411 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.412 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.412 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
0.413 * [backup-simplify]: Simplify (+ 2/3 0) into 2/3
0.417 * [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
0.417 * [backup-simplify]: Simplify 0.6666666666666669 into 0.6666666666666669
0.418 * [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)))
0.418 * [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))
0.418 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0
0.418 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
0.418 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 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 (/ 1 x)) 2) in x
0.418 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.418 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.418 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.418 * [taylor]: Taking taylor expansion of (/ 1 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 1) into 1
0.419 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.419 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.419 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.419 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.419 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.419 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
0.419 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.419 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.419 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.419 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.419 * [taylor]: Taking taylor expansion of (/ 1 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 1) into 1
0.420 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.420 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.420 * [taylor]: Taking taylor expansion of x in x
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.420 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
0.421 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.421 * [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)))
0.421 * [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))
0.422 * [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)))
0.422 * [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))
0.422 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
0.422 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x
0.422 * [taylor]: Taking taylor expansion of 1.0 in x
0.422 * [backup-simplify]: Simplify 1.0 into 1.0
0.422 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.422 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.422 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.422 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.422 * [taylor]: Taking taylor expansion of (/ 1 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
0.423 * [backup-simplify]: Simplify (/ 1 1) into 1
0.423 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.423 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.423 * [taylor]: Taking taylor expansion of x in x
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 1 into 1
0.423 * [backup-simplify]: Simplify (/ 1 1) into 1
0.423 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.423 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.423 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
0.423 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.423 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.423 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.423 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.423 * [taylor]: Taking taylor expansion of x in x
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 1 into 1
0.424 * [backup-simplify]: Simplify (/ 1 1) into 1
0.424 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.424 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.424 * [taylor]: Taking taylor expansion of x in x
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 1 into 1
0.424 * [backup-simplify]: Simplify (/ 1 1) into 1
0.424 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.424 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.424 * [taylor]: Taking taylor expansion of 1.0 in x
0.424 * [backup-simplify]: Simplify 1.0 into 1.0
0.424 * [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))
0.425 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.425 * [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)))
0.425 * [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))
0.425 * [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)))
0.426 * [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))
0.426 * [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))))
0.427 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.427 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
0.427 * [backup-simplify]: Simplify (- 0) into 0
0.427 * [backup-simplify]: Simplify (+ 0 0) into 0
0.428 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.428 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
0.428 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [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
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.430 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
0.430 * [backup-simplify]: Simplify (- 0) into 0
0.430 * [backup-simplify]: Simplify (+ 0 0) into 0
0.431 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.431 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
0.431 * [backup-simplify]: Simplify (+ 0 0) into 0
0.433 * [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
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [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
0.434 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
0.434 * [backup-simplify]: Simplify (- 0) into 0
0.434 * [backup-simplify]: Simplify (+ 0 0) into 0
0.434 * [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
0.435 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
0.435 * [backup-simplify]: Simplify (+ 0 0) into 0
0.437 * [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
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [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
0.438 * [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
0.438 * [backup-simplify]: Simplify (- 0) into 0
0.439 * [backup-simplify]: Simplify (+ 0 0) into 0
0.439 * [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
0.440 * [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
0.440 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [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
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [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
0.443 * [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
0.444 * [backup-simplify]: Simplify (- 0) into 0
0.444 * [backup-simplify]: Simplify (+ 0 0) into 0
0.444 * [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
0.445 * [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
0.446 * [backup-simplify]: Simplify (+ 0 0) into 0
0.448 * [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
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [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
0.452 * [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
0.453 * [backup-simplify]: Simplify (- 0) into 0
0.453 * [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)))) (* 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
0.455 * [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
0.455 * [backup-simplify]: Simplify (+ 0 0) into 0
0.458 * [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
0.458 * [backup-simplify]: Simplify 0 into 0
0.459 * [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))
0.460 * [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))
0.460 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0
0.460 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
0.460 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x
0.460 * [taylor]: Taking taylor expansion of 1.0 in x
0.460 * [backup-simplify]: Simplify 1.0 into 1.0
0.460 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.460 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.460 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.460 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.460 * [taylor]: Taking taylor expansion of -1 in x
0.460 * [backup-simplify]: Simplify -1 into -1
0.460 * [taylor]: Taking taylor expansion of x in x
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.460 * [backup-simplify]: Simplify (/ -1 1) into -1
0.460 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.461 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.461 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.461 * [taylor]: Taking taylor expansion of -1 in x
0.461 * [backup-simplify]: Simplify -1 into -1
0.461 * [taylor]: Taking taylor expansion of x in x
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 1 into 1
0.461 * [backup-simplify]: Simplify (/ -1 1) into -1
0.461 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.461 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.461 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
0.461 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.461 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.461 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.461 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.461 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.461 * [taylor]: Taking taylor expansion of -1 in x
0.461 * [backup-simplify]: Simplify -1 into -1
0.461 * [taylor]: Taking taylor expansion of x in x
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (/ -1 1) into -1
0.462 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.462 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.462 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.462 * [taylor]: Taking taylor expansion of -1 in x
0.462 * [backup-simplify]: Simplify -1 into -1
0.462 * [taylor]: Taking taylor expansion of x in x
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (/ -1 1) into -1
0.462 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.462 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.462 * [taylor]: Taking taylor expansion of 1.0 in x
0.462 * [backup-simplify]: Simplify 1.0 into 1.0
0.462 * [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))
0.463 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
0.463 * [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)))
0.463 * [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))
0.463 * [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)
0.464 * [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))
0.464 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
0.464 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x
0.464 * [taylor]: Taking taylor expansion of 1.0 in x
0.464 * [backup-simplify]: Simplify 1.0 into 1.0
0.464 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.464 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.464 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.464 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.464 * [taylor]: Taking taylor expansion of -1 in x
0.464 * [backup-simplify]: Simplify -1 into -1
0.464 * [taylor]: Taking taylor expansion of x in x
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.464 * [backup-simplify]: Simplify (/ -1 1) into -1
0.465 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.465 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.465 * [taylor]: Taking taylor expansion of -1 in x
0.465 * [backup-simplify]: Simplify -1 into -1
0.465 * [taylor]: Taking taylor expansion of x in x
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (/ -1 1) into -1
0.465 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.465 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.465 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
0.465 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.465 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.465 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.465 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.465 * [taylor]: Taking taylor expansion of -1 in x
0.465 * [backup-simplify]: Simplify -1 into -1
0.465 * [taylor]: Taking taylor expansion of x in x
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (/ -1 1) into -1
0.466 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.466 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.466 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.466 * [taylor]: Taking taylor expansion of -1 in x
0.466 * [backup-simplify]: Simplify -1 into -1
0.466 * [taylor]: Taking taylor expansion of x in x
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (/ -1 1) into -1
0.466 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.466 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.466 * [taylor]: Taking taylor expansion of 1.0 in x
0.466 * [backup-simplify]: Simplify 1.0 into 1.0
0.466 * [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))
0.467 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
0.467 * [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)))
0.467 * [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))
0.467 * [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)
0.468 * [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))
0.469 * [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))
0.469 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.469 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
0.469 * [backup-simplify]: Simplify (- 0) into 0
0.470 * [backup-simplify]: Simplify (+ 0 0) into 0
0.470 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.470 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
0.470 * [backup-simplify]: Simplify (+ 0 0) into 0
0.471 * [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
0.471 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.472 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
0.472 * [backup-simplify]: Simplify (- 0) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.473 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [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
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [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
0.476 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
0.476 * [backup-simplify]: Simplify (- 0) into 0
0.476 * [backup-simplify]: Simplify (+ 0 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)))))) into 0
0.477 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.479 * [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
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [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
0.480 * [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
0.480 * [backup-simplify]: Simplify (- 0) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [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
0.482 * [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
0.482 * [backup-simplify]: Simplify (+ 0 0) into 0
0.484 * [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
0.484 * [backup-simplify]: Simplify 0 into 0
0.484 * [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
0.485 * [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
0.485 * [backup-simplify]: Simplify (- 0) into 0
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [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
0.487 * [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
0.487 * [backup-simplify]: Simplify (+ 0 0) into 0
0.489 * [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
0.489 * [backup-simplify]: Simplify 0 into 0
0.490 * [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
0.491 * [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
0.491 * [backup-simplify]: Simplify (- 0) into 0
0.491 * [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)))) (* 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
0.493 * [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
0.493 * [backup-simplify]: Simplify (+ 0 0) into 0
0.495 * [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
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [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))
0.496 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
0.496 * [backup-simplify]: Simplify (- 1.0 (* (tan x) (tan x))) into (- 1.0 (pow (tan x) 2))
0.496 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in (x) around 0
0.496 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x
0.496 * [taylor]: Taking taylor expansion of 1.0 in x
0.496 * [backup-simplify]: Simplify 1.0 into 1.0
0.496 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.496 * [taylor]: Taking taylor expansion of (tan x) in x
0.496 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.496 * [taylor]: Taking taylor expansion of (sin x) in x
0.496 * [taylor]: Taking taylor expansion of x in x
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.497 * [taylor]: Taking taylor expansion of (cos x) in x
0.497 * [taylor]: Taking taylor expansion of x in x
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.497 * [backup-simplify]: Simplify (/ 1 1) into 1
0.497 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x
0.497 * [taylor]: Taking taylor expansion of 1.0 in x
0.497 * [backup-simplify]: Simplify 1.0 into 1.0
0.497 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
0.497 * [taylor]: Taking taylor expansion of (tan x) in x
0.498 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
0.498 * [taylor]: Taking taylor expansion of (sin x) in x
0.498 * [taylor]: Taking taylor expansion of x in x
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [taylor]: Taking taylor expansion of (cos x) in x
0.498 * [taylor]: Taking taylor expansion of x in x
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.499 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.499 * [backup-simplify]: Simplify 1.0 into 1.0
0.499 * [backup-simplify]: Simplify (+ 0 0) into 0
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify (* 1 1) into 1
0.499 * [backup-simplify]: Simplify (- 1) into -1
0.500 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.500 * [backup-simplify]: Simplify -1 into -1
0.500 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.500 * [backup-simplify]: Simplify (+ 0) into 0
0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) 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 into 0
0.503 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.503 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.504 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
0.505 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
0.505 * [backup-simplify]: Simplify (- 2/3) into -2/3
0.505 * [backup-simplify]: Simplify (+ 0 -2/3) into -2/3
0.505 * [backup-simplify]: Simplify -2/3 into -2/3
0.506 * [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))))
0.506 * [backup-simplify]: Simplify (- 1.0 (* (tan (/ 1 x)) (tan (/ 1 x)))) into (- 1.0 (pow (tan (/ 1 x)) 2))
0.506 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0
0.506 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x
0.506 * [taylor]: Taking taylor expansion of 1.0 in x
0.506 * [backup-simplify]: Simplify 1.0 into 1.0
0.506 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.506 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.506 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.506 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.506 * [taylor]: Taking taylor expansion of x in x
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.506 * [backup-simplify]: Simplify (/ 1 1) into 1
0.506 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.506 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.506 * [taylor]: Taking taylor expansion of x in x
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (/ 1 1) into 1
0.507 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.507 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.507 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x
0.507 * [taylor]: Taking taylor expansion of 1.0 in x
0.507 * [backup-simplify]: Simplify 1.0 into 1.0
0.507 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
0.507 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
0.507 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.507 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.507 * [taylor]: Taking taylor expansion of x in x
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (/ 1 1) into 1
0.507 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.507 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.507 * [taylor]: Taking taylor expansion of x in x
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (/ 1 1) into 1
0.508 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.508 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
0.508 * [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))
0.508 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
0.509 * [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)))
0.509 * [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)))
0.509 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
0.509 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
0.510 * [backup-simplify]: Simplify (- 0) into 0
0.510 * [backup-simplify]: Simplify (+ 0 0) into 0
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
0.511 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
0.511 * [backup-simplify]: Simplify (- 0) into 0
0.511 * [backup-simplify]: Simplify (+ 0 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)))))) into 0
0.512 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
0.512 * [backup-simplify]: Simplify (- 0) into 0
0.512 * [backup-simplify]: Simplify (+ 0 0) into 0
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [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
0.514 * [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
0.514 * [backup-simplify]: Simplify (- 0) into 0
0.514 * [backup-simplify]: Simplify (+ 0 0) into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.515 * [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
0.516 * [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
0.516 * [backup-simplify]: Simplify (- 0) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.517 * [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
0.518 * [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
0.518 * [backup-simplify]: Simplify (- 0) into 0
0.518 * [backup-simplify]: Simplify (+ 0 0) into 0
0.518 * [backup-simplify]: Simplify 0 into 0
0.519 * [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)))
0.519 * [backup-simplify]: Simplify (- 1.0 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) into (- 1.0 (pow (tan (/ -1 x)) 2))
0.519 * [approximate]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0
0.519 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x
0.519 * [taylor]: Taking taylor expansion of 1.0 in x
0.519 * [backup-simplify]: Simplify 1.0 into 1.0
0.519 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.519 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.519 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.519 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.519 * [taylor]: Taking taylor expansion of -1 in x
0.519 * [backup-simplify]: Simplify -1 into -1
0.519 * [taylor]: Taking taylor expansion of x in x
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (/ -1 1) into -1
0.520 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.520 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.520 * [taylor]: Taking taylor expansion of -1 in x
0.520 * [backup-simplify]: Simplify -1 into -1
0.520 * [taylor]: Taking taylor expansion of x in x
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (/ -1 1) into -1
0.520 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.520 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.520 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x
0.520 * [taylor]: Taking taylor expansion of 1.0 in x
0.520 * [backup-simplify]: Simplify 1.0 into 1.0
0.520 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
0.520 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
0.521 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.521 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.521 * [taylor]: Taking taylor expansion of -1 in x
0.521 * [backup-simplify]: Simplify -1 into -1
0.521 * [taylor]: Taking taylor expansion of x in x
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (/ -1 1) into -1
0.521 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.521 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.521 * [taylor]: Taking taylor expansion of -1 in x
0.521 * [backup-simplify]: Simplify -1 into -1
0.521 * [taylor]: Taking taylor expansion of x in x
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (/ -1 1) into -1
0.521 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.522 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
0.522 * [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))
0.522 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
0.522 * [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)))
0.522 * [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)))
0.523 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
0.523 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
0.523 * [backup-simplify]: Simplify (- 0) into 0
0.523 * [backup-simplify]: Simplify (+ 0 0) into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
0.524 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
0.524 * [backup-simplify]: Simplify (- 0) into 0
0.525 * [backup-simplify]: Simplify (+ 0 0) into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [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
0.526 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
0.526 * [backup-simplify]: Simplify (- 0) into 0
0.527 * [backup-simplify]: Simplify (+ 0 0) into 0
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [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
0.528 * [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
0.528 * [backup-simplify]: Simplify (- 0) into 0
0.529 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [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
0.530 * [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
0.530 * [backup-simplify]: Simplify (- 0) into 0
0.531 * [backup-simplify]: Simplify (+ 0 0) into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [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
0.532 * [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
0.533 * [backup-simplify]: Simplify (- 0) into 0
0.533 * [backup-simplify]: Simplify (+ 0 0) into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [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)))
0.533 * * * [progress]: simplifying candidates
0.535 * [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))
  (- (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))))
  (/ (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)))
  (+ (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))
  (- (+ (* 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))
  (- 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)))
0.538 * * [simplify]: Extracting # 0 : cost  0
0.538 * * [simplify]: Extracting # 1 : cost  0
0.538 * * [simplify]: Extracting # 2 : cost  0
0.538 * * [simplify]: Extracting # 3 : cost  0
0.538 * * [simplify]: Extracting # 4 : cost  0
0.539 * * [simplify]: Extracting # 5 : cost  0
0.539 * * [simplify]: Extracting # 6 : cost  0
0.539 * * [simplify]: Extracting # 7 : cost  0
0.539 * * [simplify]: Extracting # 8 : cost  0
0.539 * * [simplify]: Extracting # 9 : cost  0
0.539 * * [simplify]: iteration  0 :  138  enodes  (cost  1632 )
0.576 * * [simplify]: Extracting # 0 : cost  0
0.576 * * [simplify]: Extracting # 1 : cost  0
0.577 * * [simplify]: Extracting # 2 : cost  0
0.577 * * [simplify]: Extracting # 3 : cost  0
0.578 * * [simplify]: Extracting # 4 : cost  0
0.578 * * [simplify]: iteration  1 :  351  enodes  (cost  1506 )
0.763 * * [simplify]: Extracting # 0 : cost  0
0.766 * * [simplify]: Extracting # 1 : cost  0
0.770 * * [simplify]: Extracting # 2 : cost  0
0.773 * * [simplify]: Extracting # 3 : cost  0
0.777 * * [simplify]: Extracting # 4 : cost  0
0.780 * * [simplify]: iteration  2 :  1543  enodes  (cost  1368 )
1.540 * * [simplify]: Extracting # 0 : cost  0
1.556 * * [simplify]: Extracting # 1 : cost  0
1.563 * * [simplify]: Extracting # 2 : cost  0
1.569 * * [simplify]: Extracting # 3 : cost  0
1.576 * * [simplify]: Extracting # 4 : cost  0
1.586 * * [simplify]: iteration done:  5000  enodes  (cost  1360 )
1.587 * [simplify]: Simplified to:
  2
  (* (tan x) (tan x))
  2
  (* 2 (log (tan x)))
  (* 2 (log (tan x)))
  (exp (* (tan x) (tan x)))
  (pow (tan x) 6)
  (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x))))
  (cbrt (* (tan x) (tan x)))
  (pow (tan x) 6)
  (fabs (tan x))
  (fabs (tan x))
  (pow (sin x) 2)
  (pow (cos x) 2)
  (* (tan x) (cbrt (tan x)))
  (* (cbrt (tan x)) (cbrt (tan x)))
  (tan x)
  (tan x)
  1
  (* (tan x) (tan x))
  (tan x)
  (tan x)
  2
  (* (tan x) (* (cbrt (tan x)) (cbrt (tan x))))
  (pow (sqrt (tan x)) 3)
  (tan x)
  (* (tan x) (cbrt (tan x)))
  (pow (sqrt (tan x)) 3)
  (* (tan x) (tan x))
  (* (sin x) (tan x))
  (* (sin x) (tan x))
  2
  (* (tan x) (tan x))
  2
  (* 2 (log (tan x)))
  (* 2 (log (tan x)))
  (exp (* (tan x) (tan x)))
  (pow (tan x) 6)
  (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x))))
  (cbrt (* (tan x) (tan x)))
  (pow (tan x) 6)
  (fabs (tan x))
  (fabs (tan x))
  (pow (sin x) 2)
  (pow (cos x) 2)
  (* (tan x) (cbrt (tan x)))
  (* (cbrt (tan x)) (cbrt (tan x)))
  (tan x)
  (tan x)
  1
  (* (tan x) (tan x))
  (tan x)
  (tan x)
  2
  (* (tan x) (* (cbrt (tan x)) (cbrt (tan x))))
  (pow (sqrt (tan x)) 3)
  (tan x)
  (* (tan x) (cbrt (tan x)))
  (pow (sqrt (tan x)) 3)
  (* (tan x) (tan x))
  (* (sin x) (tan x))
  (* (sin x) (tan x))
  (log (/ (- 1.0 (* (tan x) (tan x))) (+ 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)))))
  (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3)
  (* (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)))))
  (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3)
  (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)))))
  (/ (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))))
  (/ (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
  (/ (- 1.0 (* (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))
  (/ (- (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)))
  (/ (+ 1.0 (* (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 (tan x) 6) (pow 1.0 3)))
  (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (pow (tan x) (+ 3 1))))
  (* (+ 1.0 (* (tan x) (tan x))) (+ (* (tan x) (+ (pow (tan x) 3) (* 1.0 (tan x)))) (* 1.0 1.0)))
  (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
  (exp (- 1.0 (* (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))))
  (pow (- 1.0 (* (tan x) (tan x))) 3)
  (sqrt (- 1.0 (* (tan x) (tan x))))
  (sqrt (- 1.0 (* (tan x) (tan x))))
  (- (pow 1.0 3) (pow (tan x) 6))
  (+ (* (tan x) (+ (pow (tan x) 3) (* 1.0 (tan x)))) (* 1.0 1.0))
  (* (- (tan x)) (tan x))
  (- (* 1.0 1.0) (pow (tan x) (+ 3 1)))
  (+ (* (tan x) (tan x)) 1.0)
  (+ (sqrt 1.0) (tan x))
  (- (sqrt 1.0) (tan x))
  (* (- (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))
  (- (+ (* 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))
  (- 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)))
1.589 * * * [progress]: adding candidates to table
1.944 * * [progress]: iteration 2 / 4
1.944 * * * [progress]: picking best candidate
1.977 * * * * [pick]: Picked  #<alt (λ (x) (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))>
1.977 * * * [progress]: localizing error
1.989 * * * [progress]: generating rewritten candidates
1.989 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
2.072 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2)
2.104 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
2.126 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2)
2.145 * * * [progress]: generating series expansions
2.145 * * * * [progress]: [ 1 / 4 ] generating series at (2)
2.145 * [backup-simplify]: Simplify (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))) into (- (* 1.0 (/ 1 (+ (pow (tan x) 2) 1.0))) (/ (pow (tan x) 2) (+ (pow (tan x) 2) 1.0)))
2.145 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ (pow (tan x) 2) 1.0))) (/ (pow (tan x) 2) (+ (pow (tan x) 2) 1.0))) in (x) around 0
2.145 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ (pow (tan x) 2) 1.0))) (/ (pow (tan x) 2) (+ (pow (tan x) 2) 1.0))) in x
2.145 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ (pow (tan x) 2) 1.0))) in x
2.145 * [taylor]: Taking taylor expansion of 1.0 in x
2.146 * [backup-simplify]: Simplify 1.0 into 1.0
2.146 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan x) 2) 1.0)) in x
2.146 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
2.146 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.146 * [taylor]: Taking taylor expansion of (tan x) in x
2.146 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.146 * [taylor]: Taking taylor expansion of (sin x) in x
2.146 * [taylor]: Taking taylor expansion of x in x
2.146 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify 1 into 1
2.146 * [taylor]: Taking taylor expansion of (cos x) in x
2.146 * [taylor]: Taking taylor expansion of x in x
2.146 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify 1 into 1
2.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.147 * [backup-simplify]: Simplify (/ 1 1) into 1
2.147 * [taylor]: Taking taylor expansion of 1.0 in x
2.147 * [backup-simplify]: Simplify 1.0 into 1.0
2.147 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.148 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0
2.148 * [taylor]: Taking taylor expansion of (/ (pow (tan x) 2) (+ (pow (tan x) 2) 1.0)) in x
2.148 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.148 * [taylor]: Taking taylor expansion of (tan x) in x
2.148 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.148 * [taylor]: Taking taylor expansion of (sin x) in x
2.148 * [taylor]: Taking taylor expansion of x in x
2.148 * [backup-simplify]: Simplify 0 into 0
2.148 * [backup-simplify]: Simplify 1 into 1
2.148 * [taylor]: Taking taylor expansion of (cos x) in x
2.148 * [taylor]: Taking taylor expansion of x in x
2.148 * [backup-simplify]: Simplify 0 into 0
2.148 * [backup-simplify]: Simplify 1 into 1
2.148 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.149 * [backup-simplify]: Simplify (/ 1 1) into 1
2.149 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
2.149 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.149 * [taylor]: Taking taylor expansion of (tan x) in x
2.149 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.149 * [taylor]: Taking taylor expansion of (sin x) in x
2.149 * [taylor]: Taking taylor expansion of x in x
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify 1 into 1
2.149 * [taylor]: Taking taylor expansion of (cos x) in x
2.149 * [taylor]: Taking taylor expansion of x in x
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify 1 into 1
2.149 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.150 * [backup-simplify]: Simplify (/ 1 1) into 1
2.150 * [taylor]: Taking taylor expansion of 1.0 in x
2.150 * [backup-simplify]: Simplify 1.0 into 1.0
2.150 * [backup-simplify]: Simplify (* 1 1) into 1
2.150 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.151 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0
2.151 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ (pow (tan x) 2) 1.0))) (/ (pow (tan x) 2) (+ (pow (tan x) 2) 1.0))) in x
2.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ (pow (tan x) 2) 1.0))) in x
2.151 * [taylor]: Taking taylor expansion of 1.0 in x
2.151 * [backup-simplify]: Simplify 1.0 into 1.0
2.151 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan x) 2) 1.0)) in x
2.151 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
2.151 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.151 * [taylor]: Taking taylor expansion of (tan x) in x
2.151 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.151 * [taylor]: Taking taylor expansion of (sin x) in x
2.151 * [taylor]: Taking taylor expansion of x in x
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify 1 into 1
2.151 * [taylor]: Taking taylor expansion of (cos x) in x
2.151 * [taylor]: Taking taylor expansion of x in x
2.151 * [backup-simplify]: Simplify 0 into 0
2.151 * [backup-simplify]: Simplify 1 into 1
2.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.152 * [backup-simplify]: Simplify (/ 1 1) into 1
2.152 * [taylor]: Taking taylor expansion of 1.0 in x
2.152 * [backup-simplify]: Simplify 1.0 into 1.0
2.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.152 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0
2.152 * [taylor]: Taking taylor expansion of (/ (pow (tan x) 2) (+ (pow (tan x) 2) 1.0)) in x
2.152 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.152 * [taylor]: Taking taylor expansion of (tan x) in x
2.153 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.153 * [taylor]: Taking taylor expansion of (sin x) in x
2.153 * [taylor]: Taking taylor expansion of x in x
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 1 into 1
2.153 * [taylor]: Taking taylor expansion of (cos x) in x
2.153 * [taylor]: Taking taylor expansion of x in x
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 1 into 1
2.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.153 * [backup-simplify]: Simplify (/ 1 1) into 1
2.153 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
2.153 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.153 * [taylor]: Taking taylor expansion of (tan x) in x
2.154 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.154 * [taylor]: Taking taylor expansion of (sin x) in x
2.154 * [taylor]: Taking taylor expansion of x in x
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 1 into 1
2.154 * [taylor]: Taking taylor expansion of (cos x) in x
2.154 * [taylor]: Taking taylor expansion of x in x
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 1 into 1
2.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.155 * [backup-simplify]: Simplify (/ 1 1) into 1
2.155 * [taylor]: Taking taylor expansion of 1.0 in x
2.155 * [backup-simplify]: Simplify 1.0 into 1.0
2.155 * [backup-simplify]: Simplify (* 1 1) into 1
2.156 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
2.156 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0
2.157 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0
2.157 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
2.157 * [backup-simplify]: Simplify 1.0 into 1.0
2.158 * [backup-simplify]: Simplify (+ 0 0) into 0
2.159 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0
2.159 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0
2.160 * [backup-simplify]: Simplify (+ 0 0) into 0
2.160 * [backup-simplify]: Simplify 0 into 0
2.160 * [backup-simplify]: Simplify (* 1 1) into 1
2.160 * [backup-simplify]: Simplify (+ 1 0) into 1
2.169 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 1.0)
2.172 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (+ (* 0 0) (* 0 1.0))) into (- 1.0)
2.172 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
2.173 * [backup-simplify]: Simplify (+ (- 1.0) (- 1.0)) into (- 2.0)
2.173 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
2.174 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.175 * [backup-simplify]: Simplify (+ 0) into 0
2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
2.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.176 * [backup-simplify]: Simplify (+ 0 0) into 0
2.178 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* (- 1.0) (/ 0 1.0)))) into 0
2.179 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 1.0)))) into 0
2.180 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.180 * [backup-simplify]: Simplify (+ 0) into 0
2.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
2.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.182 * [backup-simplify]: Simplify (+ 0 0) into 0
2.183 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0
2.183 * [backup-simplify]: Simplify (- 0) into 0
2.183 * [backup-simplify]: Simplify (+ 0 0) into 0
2.183 * [backup-simplify]: Simplify 0 into 0
2.185 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.186 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.187 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
2.188 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
2.189 * [backup-simplify]: Simplify (+ 2/3 0) into 2/3
2.193 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 2/3 1.0)) (* 0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)) (* 0 (/ 0 1.0)))) into 0.33333333333333337
2.195 * [backup-simplify]: Simplify (+ (* 1.0 0.33333333333333337) (+ (* 0 0) (+ (* 0 (- 1.0)) (+ (* 0 0) (* 0 1.0))))) into 0.33333333333333337
2.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.197 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
2.198 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
2.198 * [backup-simplify]: Simplify (* 1 1) into 1
2.198 * [backup-simplify]: Simplify (+ 1 0) into 1
2.200 * [backup-simplify]: Simplify (- (/ 2/3 1.0) (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 0.33333333333333337)
2.201 * [backup-simplify]: Simplify (- (- 0.33333333333333337)) into 0.33333333333333337
2.201 * [backup-simplify]: Simplify (+ 0.33333333333333337 0.33333333333333337) into 0.6666666666666667
2.201 * [backup-simplify]: Simplify 0.6666666666666667 into 0.6666666666666667
2.202 * [backup-simplify]: Simplify (+ (* 0.6666666666666667 (pow x 4)) (+ (* (- 2.0) (pow x 2)) 1.0)) into (- (+ (* 0.6666666666666667 (pow x 4)) 1.0) (* 2.0 (pow x 2)))
2.202 * [backup-simplify]: Simplify (- (/ 1.0 (+ 1.0 (* (tan (/ 1 x)) (tan (/ 1 x))))) (/ (* (tan (/ 1 x)) (tan (/ 1 x))) (+ 1.0 (* (tan (/ 1 x)) (tan (/ 1 x)))))) into (- (* 1.0 (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0))) (/ (pow (tan (/ 1 x)) 2) (+ (pow (tan (/ 1 x)) 2) 1.0)))
2.202 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0))) (/ (pow (tan (/ 1 x)) 2) (+ (pow (tan (/ 1 x)) 2) 1.0))) in (x) around 0
2.202 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0))) (/ (pow (tan (/ 1 x)) 2) (+ (pow (tan (/ 1 x)) 2) 1.0))) in x
2.202 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0))) in x
2.202 * [taylor]: Taking taylor expansion of 1.0 in x
2.202 * [backup-simplify]: Simplify 1.0 into 1.0
2.202 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
2.202 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
2.202 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.203 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.203 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.203 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.203 * [taylor]: Taking taylor expansion of x in x
2.203 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify 1 into 1
2.203 * [backup-simplify]: Simplify (/ 1 1) into 1
2.203 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.203 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.203 * [taylor]: Taking taylor expansion of x in x
2.203 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify 1 into 1
2.203 * [backup-simplify]: Simplify (/ 1 1) into 1
2.203 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.203 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.204 * [taylor]: Taking taylor expansion of 1.0 in x
2.204 * [backup-simplify]: Simplify 1.0 into 1.0
2.204 * [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))
2.204 * [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)))
2.204 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))
2.204 * [taylor]: Taking taylor expansion of (/ (pow (tan (/ 1 x)) 2) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
2.204 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.204 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.204 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.204 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.204 * [taylor]: Taking taylor expansion of x in x
2.204 * [backup-simplify]: Simplify 0 into 0
2.204 * [backup-simplify]: Simplify 1 into 1
2.205 * [backup-simplify]: Simplify (/ 1 1) into 1
2.205 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.205 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.205 * [taylor]: Taking taylor expansion of x in x
2.205 * [backup-simplify]: Simplify 0 into 0
2.205 * [backup-simplify]: Simplify 1 into 1
2.205 * [backup-simplify]: Simplify (/ 1 1) into 1
2.205 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.205 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.205 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
2.205 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.205 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.205 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.205 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.205 * [taylor]: Taking taylor expansion of x in x
2.205 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify 1 into 1
2.206 * [backup-simplify]: Simplify (/ 1 1) into 1
2.206 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.206 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.206 * [taylor]: Taking taylor expansion of x in x
2.206 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify 1 into 1
2.206 * [backup-simplify]: Simplify (/ 1 1) into 1
2.206 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.206 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.206 * [taylor]: Taking taylor expansion of 1.0 in x
2.206 * [backup-simplify]: Simplify 1.0 into 1.0
2.207 * [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))
2.207 * [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))
2.207 * [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)))
2.207 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (/ (pow (sin (/ 1 x)) 2) (* (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) (pow (cos (/ 1 x)) 2)))
2.207 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0))) (/ (pow (tan (/ 1 x)) 2) (+ (pow (tan (/ 1 x)) 2) 1.0))) in x
2.207 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0))) in x
2.207 * [taylor]: Taking taylor expansion of 1.0 in x
2.207 * [backup-simplify]: Simplify 1.0 into 1.0
2.207 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
2.208 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
2.208 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.208 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.208 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.208 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.208 * [taylor]: Taking taylor expansion of x in x
2.208 * [backup-simplify]: Simplify 0 into 0
2.208 * [backup-simplify]: Simplify 1 into 1
2.208 * [backup-simplify]: Simplify (/ 1 1) into 1
2.208 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.208 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.208 * [taylor]: Taking taylor expansion of x in x
2.208 * [backup-simplify]: Simplify 0 into 0
2.208 * [backup-simplify]: Simplify 1 into 1
2.208 * [backup-simplify]: Simplify (/ 1 1) into 1
2.208 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.209 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.209 * [taylor]: Taking taylor expansion of 1.0 in x
2.209 * [backup-simplify]: Simplify 1.0 into 1.0
2.209 * [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))
2.209 * [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)))
2.209 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))
2.209 * [taylor]: Taking taylor expansion of (/ (pow (tan (/ 1 x)) 2) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
2.209 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.209 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.209 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.209 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.209 * [taylor]: Taking taylor expansion of x in x
2.209 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify 1 into 1
2.210 * [backup-simplify]: Simplify (/ 1 1) into 1
2.210 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.210 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.210 * [taylor]: Taking taylor expansion of x in x
2.210 * [backup-simplify]: Simplify 0 into 0
2.210 * [backup-simplify]: Simplify 1 into 1
2.210 * [backup-simplify]: Simplify (/ 1 1) into 1
2.210 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.210 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.210 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
2.210 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.210 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.210 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.210 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.210 * [taylor]: Taking taylor expansion of x in x
2.210 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify 1 into 1
2.211 * [backup-simplify]: Simplify (/ 1 1) into 1
2.211 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.211 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.211 * [taylor]: Taking taylor expansion of x in x
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify 1 into 1
2.211 * [backup-simplify]: Simplify (/ 1 1) into 1
2.211 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.211 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.211 * [taylor]: Taking taylor expansion of 1.0 in x
2.211 * [backup-simplify]: Simplify 1.0 into 1.0
2.212 * [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))
2.212 * [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))
2.212 * [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)))
2.212 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (/ (pow (sin (/ 1 x)) 2) (* (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) (pow (cos (/ 1 x)) 2)))
2.213 * [backup-simplify]: Simplify (* 1.0 (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))) into (/ 1.0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))
2.213 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (* (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) (pow (cos (/ 1 x)) 2)))) into (- (/ (pow (sin (/ 1 x)) 2) (* (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (pow (cos (/ 1 x)) 2))))
2.214 * [backup-simplify]: Simplify (+ (/ 1.0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (- (/ (pow (sin (/ 1 x)) 2) (* (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (pow (cos (/ 1 x)) 2))))) into (- (* 1.0 (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))) (/ (pow (sin (/ 1 x)) 2) (* (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) (pow (cos (/ 1 x)) 2))))
2.215 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))) (/ (pow (sin (/ 1 x)) 2) (* (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) (pow (cos (/ 1 x)) 2)))) into (- (* 1.0 (/ 1 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))) (/ (pow (sin (/ 1 x)) 2) (* (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (pow (cos (/ 1 x)) 2))))
2.215 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
2.215 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
2.216 * [backup-simplify]: Simplify (+ 0 0) into 0
2.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.217 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0)))) into 0
2.217 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
2.217 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
2.217 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
2.218 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
2.218 * [backup-simplify]: Simplify (+ 0 0) into 0
2.219 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (pow (sin (/ 1 x)) 2) (* (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) (pow (cos (/ 1 x)) 2))) (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))))) into 0
2.219 * [backup-simplify]: Simplify (- 0) into 0
2.219 * [backup-simplify]: Simplify (+ 0 0) into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.220 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
2.220 * [backup-simplify]: Simplify (+ 0 0) into 0
2.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.222 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))))) into 0
2.223 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.224 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
2.224 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.225 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
2.225 * [backup-simplify]: Simplify (+ 0 0) into 0
2.227 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (pow (sin (/ 1 x)) 2) (* (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) (pow (cos (/ 1 x)) 2))) (/ 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
2.228 * [backup-simplify]: Simplify (- 0) into 0
2.228 * [backup-simplify]: Simplify (+ 0 0) into 0
2.228 * [backup-simplify]: Simplify 0 into 0
2.229 * [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
2.230 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
2.230 * [backup-simplify]: Simplify (+ 0 0) into 0
2.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.232 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0)))))) into 0
2.232 * [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
2.233 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
2.233 * [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
2.234 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
2.234 * [backup-simplify]: Simplify (+ 0 0) into 0
2.236 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (pow (sin (/ 1 x)) 2) (* (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) (pow (cos (/ 1 x)) 2))) (/ 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
2.236 * [backup-simplify]: Simplify (- 0) into 0
2.236 * [backup-simplify]: Simplify (+ 0 0) into 0
2.236 * [backup-simplify]: Simplify 0 into 0
2.236 * [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
2.237 * [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
2.238 * [backup-simplify]: Simplify (+ 0 0) into 0
2.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.240 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))))))) into 0
2.241 * [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
2.241 * [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
2.242 * [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
2.243 * [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
2.243 * [backup-simplify]: Simplify (+ 0 0) into 0
2.245 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (pow (sin (/ 1 x)) 2) (* (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) (pow (cos (/ 1 x)) 2))) (/ 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
2.245 * [backup-simplify]: Simplify (- 0) into 0
2.245 * [backup-simplify]: Simplify (+ 0 0) into 0
2.245 * [backup-simplify]: Simplify 0 into 0
2.246 * [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
2.247 * [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
2.247 * [backup-simplify]: Simplify (+ 0 0) into 0
2.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.250 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0)))))))) into 0
2.250 * [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
2.251 * [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
2.252 * [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
2.253 * [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
2.253 * [backup-simplify]: Simplify (+ 0 0) into 0
2.255 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (pow (sin (/ 1 x)) 2) (* (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) (pow (cos (/ 1 x)) 2))) (/ 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
2.255 * [backup-simplify]: Simplify (- 0) into 0
2.256 * [backup-simplify]: Simplify (+ 0 0) into 0
2.256 * [backup-simplify]: Simplify 0 into 0
2.256 * [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
2.257 * [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
2.258 * [backup-simplify]: Simplify (+ 0 0) into 0
2.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.263 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))))))))) into 0
2.264 * [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
2.266 * [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
2.267 * [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
2.269 * [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
2.269 * [backup-simplify]: Simplify (+ 0 0) into 0
2.273 * [backup-simplify]: Simplify (- (/ 0 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (+ (* (/ (pow (sin (/ 1 x)) 2) (* (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0) (pow (cos (/ 1 x)) 2))) (/ 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
2.274 * [backup-simplify]: Simplify (- 0) into 0
2.274 * [backup-simplify]: Simplify (+ 0 0) into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (+ 1.0 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2))))) (/ (pow (sin (/ 1 (/ 1 x))) 2) (* (+ 1.0 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2))) (pow (cos (/ 1 (/ 1 x))) 2)))) into (- (* 1.0 (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))) (/ (pow (sin x) 2) (* (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0) (pow (cos x) 2))))
2.276 * [backup-simplify]: Simplify (- (/ 1.0 (+ 1.0 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) (/ (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) (+ 1.0 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))))) into (- (* 1.0 (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0))) (/ (pow (tan (/ -1 x)) 2) (+ (pow (tan (/ -1 x)) 2) 1.0)))
2.276 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0))) (/ (pow (tan (/ -1 x)) 2) (+ (pow (tan (/ -1 x)) 2) 1.0))) in (x) around 0
2.276 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0))) (/ (pow (tan (/ -1 x)) 2) (+ (pow (tan (/ -1 x)) 2) 1.0))) in x
2.276 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0))) in x
2.276 * [taylor]: Taking taylor expansion of 1.0 in x
2.276 * [backup-simplify]: Simplify 1.0 into 1.0
2.276 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
2.277 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
2.277 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.277 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.277 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.277 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.277 * [taylor]: Taking taylor expansion of -1 in x
2.277 * [backup-simplify]: Simplify -1 into -1
2.277 * [taylor]: Taking taylor expansion of x in x
2.277 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify 1 into 1
2.277 * [backup-simplify]: Simplify (/ -1 1) into -1
2.277 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.277 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.277 * [taylor]: Taking taylor expansion of -1 in x
2.277 * [backup-simplify]: Simplify -1 into -1
2.278 * [taylor]: Taking taylor expansion of x in x
2.278 * [backup-simplify]: Simplify 0 into 0
2.278 * [backup-simplify]: Simplify 1 into 1
2.278 * [backup-simplify]: Simplify (/ -1 1) into -1
2.278 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.278 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.278 * [taylor]: Taking taylor expansion of 1.0 in x
2.278 * [backup-simplify]: Simplify 1.0 into 1.0
2.278 * [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))
2.278 * [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)
2.279 * [backup-simplify]: Simplify (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) into (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))
2.279 * [taylor]: Taking taylor expansion of (/ (pow (tan (/ -1 x)) 2) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
2.279 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.279 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.279 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.279 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.279 * [taylor]: Taking taylor expansion of -1 in x
2.279 * [backup-simplify]: Simplify -1 into -1
2.279 * [taylor]: Taking taylor expansion of x in x
2.279 * [backup-simplify]: Simplify 0 into 0
2.279 * [backup-simplify]: Simplify 1 into 1
2.279 * [backup-simplify]: Simplify (/ -1 1) into -1
2.279 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.279 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.279 * [taylor]: Taking taylor expansion of -1 in x
2.279 * [backup-simplify]: Simplify -1 into -1
2.279 * [taylor]: Taking taylor expansion of x in x
2.279 * [backup-simplify]: Simplify 0 into 0
2.279 * [backup-simplify]: Simplify 1 into 1
2.280 * [backup-simplify]: Simplify (/ -1 1) into -1
2.280 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.280 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.280 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
2.280 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.280 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.280 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.280 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.280 * [taylor]: Taking taylor expansion of -1 in x
2.280 * [backup-simplify]: Simplify -1 into -1
2.280 * [taylor]: Taking taylor expansion of x in x
2.280 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify 1 into 1
2.280 * [backup-simplify]: Simplify (/ -1 1) into -1
2.280 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.280 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.281 * [taylor]: Taking taylor expansion of -1 in x
2.281 * [backup-simplify]: Simplify -1 into -1
2.281 * [taylor]: Taking taylor expansion of x in x
2.281 * [backup-simplify]: Simplify 0 into 0
2.281 * [backup-simplify]: Simplify 1 into 1
2.281 * [backup-simplify]: Simplify (/ -1 1) into -1
2.281 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.281 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.281 * [taylor]: Taking taylor expansion of 1.0 in x
2.281 * [backup-simplify]: Simplify 1.0 into 1.0
2.281 * [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))
2.281 * [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))
2.282 * [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)
2.282 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) into (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2)))
2.282 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0))) (/ (pow (tan (/ -1 x)) 2) (+ (pow (tan (/ -1 x)) 2) 1.0))) in x
2.282 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0))) in x
2.282 * [taylor]: Taking taylor expansion of 1.0 in x
2.282 * [backup-simplify]: Simplify 1.0 into 1.0
2.282 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
2.282 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
2.282 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.282 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.282 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.282 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.282 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.282 * [taylor]: Taking taylor expansion of -1 in x
2.282 * [backup-simplify]: Simplify -1 into -1
2.282 * [taylor]: Taking taylor expansion of x in x
2.282 * [backup-simplify]: Simplify 0 into 0
2.282 * [backup-simplify]: Simplify 1 into 1
2.283 * [backup-simplify]: Simplify (/ -1 1) into -1
2.283 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.283 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.283 * [taylor]: Taking taylor expansion of -1 in x
2.283 * [backup-simplify]: Simplify -1 into -1
2.283 * [taylor]: Taking taylor expansion of x in x
2.283 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify 1 into 1
2.283 * [backup-simplify]: Simplify (/ -1 1) into -1
2.283 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.283 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.283 * [taylor]: Taking taylor expansion of 1.0 in x
2.283 * [backup-simplify]: Simplify 1.0 into 1.0
2.284 * [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))
2.284 * [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)
2.284 * [backup-simplify]: Simplify (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) into (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))
2.284 * [taylor]: Taking taylor expansion of (/ (pow (tan (/ -1 x)) 2) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
2.284 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.284 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.284 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.284 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.284 * [taylor]: Taking taylor expansion of -1 in x
2.284 * [backup-simplify]: Simplify -1 into -1
2.284 * [taylor]: Taking taylor expansion of x in x
2.284 * [backup-simplify]: Simplify 0 into 0
2.284 * [backup-simplify]: Simplify 1 into 1
2.287 * [backup-simplify]: Simplify (/ -1 1) into -1
2.288 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.288 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.288 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.288 * [taylor]: Taking taylor expansion of -1 in x
2.288 * [backup-simplify]: Simplify -1 into -1
2.288 * [taylor]: Taking taylor expansion of x in x
2.288 * [backup-simplify]: Simplify 0 into 0
2.288 * [backup-simplify]: Simplify 1 into 1
2.288 * [backup-simplify]: Simplify (/ -1 1) into -1
2.288 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.288 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.289 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
2.289 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.289 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.289 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.289 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.289 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.289 * [taylor]: Taking taylor expansion of -1 in x
2.289 * [backup-simplify]: Simplify -1 into -1
2.289 * [taylor]: Taking taylor expansion of x in x
2.289 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify 1 into 1
2.290 * [backup-simplify]: Simplify (/ -1 1) into -1
2.290 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.290 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.290 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.290 * [taylor]: Taking taylor expansion of -1 in x
2.290 * [backup-simplify]: Simplify -1 into -1
2.290 * [taylor]: Taking taylor expansion of x in x
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 1 into 1
2.290 * [backup-simplify]: Simplify (/ -1 1) into -1
2.290 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.291 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.291 * [taylor]: Taking taylor expansion of 1.0 in x
2.291 * [backup-simplify]: Simplify 1.0 into 1.0
2.291 * [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))
2.291 * [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))
2.291 * [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)
2.292 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) into (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2)))
2.292 * [backup-simplify]: Simplify (* 1.0 (/ 1 (+ (/ (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))
2.292 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2)))) into (- (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2))))
2.293 * [backup-simplify]: Simplify (+ (/ 1.0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (- (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2))))) into (- (* 1.0 (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2))))
2.294 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2)))) into (- (* 1.0 (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))) (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2))))
2.294 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
2.294 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
2.295 * [backup-simplify]: Simplify (+ 0 0) into 0
2.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.296 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)))) into 0
2.296 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
2.296 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
2.296 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
2.297 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
2.297 * [backup-simplify]: Simplify (+ 0 0) into 0
2.298 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2))) (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))))) into 0
2.298 * [backup-simplify]: Simplify (- 0) into 0
2.298 * [backup-simplify]: Simplify (+ 0 0) into 0
2.298 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.299 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
2.299 * [backup-simplify]: Simplify (+ 0 0) into 0
2.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.301 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))))) into 0
2.301 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.302 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
2.302 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.302 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
2.303 * [backup-simplify]: Simplify (+ 0 0) into 0
2.304 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2))) (/ 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
2.304 * [backup-simplify]: Simplify (- 0) into 0
2.304 * [backup-simplify]: Simplify (+ 0 0) into 0
2.304 * [backup-simplify]: Simplify 0 into 0
2.305 * [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
2.305 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
2.305 * [backup-simplify]: Simplify (+ 0 0) into 0
2.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.307 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)))))) into 0
2.308 * [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
2.308 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
2.309 * [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
2.309 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
2.310 * [backup-simplify]: Simplify (+ 0 0) into 0
2.312 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2))) (/ 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
2.313 * [backup-simplify]: Simplify (- 0) into 0
2.313 * [backup-simplify]: Simplify (+ 0 0) into 0
2.313 * [backup-simplify]: Simplify 0 into 0
2.314 * [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
2.314 * [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
2.315 * [backup-simplify]: Simplify (+ 0 0) into 0
2.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.317 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))))))) into 0
2.317 * [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
2.318 * [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
2.319 * [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
2.319 * [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
2.320 * [backup-simplify]: Simplify (+ 0 0) into 0
2.321 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2))) (/ 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
2.322 * [backup-simplify]: Simplify (- 0) into 0
2.322 * [backup-simplify]: Simplify (+ 0 0) into 0
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [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
2.323 * [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
2.324 * [backup-simplify]: Simplify (+ 0 0) into 0
2.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.326 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)))))))) into 0
2.327 * [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)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.328 * [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
2.328 * [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
2.329 * [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
2.330 * [backup-simplify]: Simplify (+ 0 0) into 0
2.331 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2))) (/ 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
2.332 * [backup-simplify]: Simplify (- 0) into 0
2.332 * [backup-simplify]: Simplify (+ 0 0) into 0
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [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
2.334 * [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
2.334 * [backup-simplify]: Simplify (+ 0 0) into 0
2.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
2.337 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))))))))) into 0
2.338 * [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)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.339 * [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
2.339 * [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
2.341 * [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
2.341 * [backup-simplify]: Simplify (+ 0 0) into 0
2.343 * [backup-simplify]: Simplify (- (/ 0 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) (+ (* (/ (pow (sin (/ -1 x)) 2) (* (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0) (pow (cos (/ -1 x)) 2))) (/ 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
2.343 * [backup-simplify]: Simplify (- 0) into 0
2.343 * [backup-simplify]: Simplify (+ 0 0) into 0
2.343 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (+ (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) 1.0))) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (* (+ (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) 1.0) (pow (cos (/ -1 (/ 1 (- x)))) 2)))) into (- (* 1.0 (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))) (/ (pow (sin x) 2) (* (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0) (pow (cos x) 2))))
2.344 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2)
2.344 * [backup-simplify]: Simplify (* (tan x) (tan x)) into (pow (tan x) 2)
2.344 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0
2.344 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.344 * [taylor]: Taking taylor expansion of (tan x) in x
2.345 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.345 * [taylor]: Taking taylor expansion of (sin x) in x
2.345 * [taylor]: Taking taylor expansion of x in x
2.345 * [backup-simplify]: Simplify 0 into 0
2.345 * [backup-simplify]: Simplify 1 into 1
2.345 * [taylor]: Taking taylor expansion of (cos x) in x
2.345 * [taylor]: Taking taylor expansion of x in x
2.345 * [backup-simplify]: Simplify 0 into 0
2.345 * [backup-simplify]: Simplify 1 into 1
2.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.345 * [backup-simplify]: Simplify (/ 1 1) into 1
2.345 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.345 * [taylor]: Taking taylor expansion of (tan x) in x
2.346 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.346 * [taylor]: Taking taylor expansion of (sin x) in x
2.346 * [taylor]: Taking taylor expansion of x in x
2.346 * [backup-simplify]: Simplify 0 into 0
2.346 * [backup-simplify]: Simplify 1 into 1
2.346 * [taylor]: Taking taylor expansion of (cos x) in x
2.346 * [taylor]: Taking taylor expansion of x in x
2.346 * [backup-simplify]: Simplify 0 into 0
2.346 * [backup-simplify]: Simplify 1 into 1
2.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.347 * [backup-simplify]: Simplify (/ 1 1) into 1
2.347 * [backup-simplify]: Simplify (* 1 1) into 1
2.347 * [backup-simplify]: Simplify 1 into 1
2.348 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.348 * [backup-simplify]: Simplify (+ 0) into 0
2.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
2.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.350 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.354 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
2.355 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
2.355 * [backup-simplify]: Simplify 2/3 into 2/3
2.357 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.358 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
2.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0
2.361 * [backup-simplify]: Simplify 0 into 0
2.365 * [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
2.367 * [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
2.368 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
2.369 * [backup-simplify]: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45
2.369 * [backup-simplify]: Simplify 17/45 into 17/45
2.369 * [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))))
2.370 * [backup-simplify]: Simplify (* (tan (/ 1 x)) (tan (/ 1 x))) into (pow (tan (/ 1 x)) 2)
2.370 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0
2.370 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.370 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.370 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.370 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.370 * [taylor]: Taking taylor expansion of x in x
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify 1 into 1
2.370 * [backup-simplify]: Simplify (/ 1 1) into 1
2.370 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.370 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.370 * [taylor]: Taking taylor expansion of x in x
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify 1 into 1
2.370 * [backup-simplify]: Simplify (/ 1 1) into 1
2.370 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.371 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.371 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.371 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.371 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.371 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.371 * [taylor]: Taking taylor expansion of x in x
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 1 into 1
2.371 * [backup-simplify]: Simplify (/ 1 1) into 1
2.371 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.371 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.371 * [taylor]: Taking taylor expansion of x in x
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 1 into 1
2.371 * [backup-simplify]: Simplify (/ 1 1) into 1
2.371 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.372 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.372 * [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))
2.372 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
2.372 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
2.372 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
2.372 * [backup-simplify]: Simplify 0 into 0
2.373 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.373 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
2.373 * [backup-simplify]: Simplify 0 into 0
2.373 * [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
2.374 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
2.374 * [backup-simplify]: Simplify 0 into 0
2.374 * [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
2.375 * [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
2.375 * [backup-simplify]: Simplify 0 into 0
2.376 * [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
2.377 * [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
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [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
2.379 * [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
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
2.379 * [backup-simplify]: Simplify (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) into (pow (tan (/ -1 x)) 2)
2.379 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0
2.379 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.379 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.379 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.379 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.379 * [taylor]: Taking taylor expansion of -1 in x
2.379 * [backup-simplify]: Simplify -1 into -1
2.379 * [taylor]: Taking taylor expansion of x in x
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify 1 into 1
2.380 * [backup-simplify]: Simplify (/ -1 1) into -1
2.380 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.380 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.380 * [taylor]: Taking taylor expansion of -1 in x
2.380 * [backup-simplify]: Simplify -1 into -1
2.380 * [taylor]: Taking taylor expansion of x in x
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 1 into 1
2.380 * [backup-simplify]: Simplify (/ -1 1) into -1
2.380 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.380 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.380 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.380 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.380 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.380 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.380 * [taylor]: Taking taylor expansion of -1 in x
2.380 * [backup-simplify]: Simplify -1 into -1
2.380 * [taylor]: Taking taylor expansion of x in x
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 1 into 1
2.381 * [backup-simplify]: Simplify (/ -1 1) into -1
2.381 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.381 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.381 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.381 * [taylor]: Taking taylor expansion of -1 in x
2.381 * [backup-simplify]: Simplify -1 into -1
2.381 * [taylor]: Taking taylor expansion of x in x
2.381 * [backup-simplify]: Simplify 0 into 0
2.381 * [backup-simplify]: Simplify 1 into 1
2.381 * [backup-simplify]: Simplify (/ -1 1) into -1
2.381 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.381 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.382 * [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))
2.382 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
2.382 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
2.382 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
2.382 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.383 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [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
2.384 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [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
2.385 * [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
2.385 * [backup-simplify]: Simplify 0 into 0
2.386 * [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
2.387 * [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
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [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
2.388 * [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
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
2.389 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
2.389 * [backup-simplify]: Simplify (* (tan x) (tan x)) into (pow (tan x) 2)
2.389 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0
2.389 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.389 * [taylor]: Taking taylor expansion of (tan x) in x
2.389 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.389 * [taylor]: Taking taylor expansion of (sin x) in x
2.389 * [taylor]: Taking taylor expansion of x in x
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 1 into 1
2.389 * [taylor]: Taking taylor expansion of (cos x) in x
2.389 * [taylor]: Taking taylor expansion of x in x
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 1 into 1
2.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.390 * [backup-simplify]: Simplify (/ 1 1) into 1
2.390 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.390 * [taylor]: Taking taylor expansion of (tan x) in x
2.390 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.390 * [taylor]: Taking taylor expansion of (sin x) in x
2.390 * [taylor]: Taking taylor expansion of x in x
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify 1 into 1
2.390 * [taylor]: Taking taylor expansion of (cos x) in x
2.390 * [taylor]: Taking taylor expansion of x in x
2.390 * [backup-simplify]: Simplify 0 into 0
2.390 * [backup-simplify]: Simplify 1 into 1
2.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.391 * [backup-simplify]: Simplify (/ 1 1) into 1
2.391 * [backup-simplify]: Simplify (* 1 1) into 1
2.391 * [backup-simplify]: Simplify 1 into 1
2.392 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.392 * [backup-simplify]: Simplify (+ 0) into 0
2.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
2.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.393 * [backup-simplify]: Simplify 0 into 0
2.396 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.397 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.397 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
2.398 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
2.398 * [backup-simplify]: Simplify 2/3 into 2/3
2.400 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.402 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
2.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0
2.404 * [backup-simplify]: Simplify 0 into 0
2.408 * [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
2.411 * [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
2.413 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
2.415 * [backup-simplify]: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45
2.415 * [backup-simplify]: Simplify 17/45 into 17/45
2.415 * [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))))
2.416 * [backup-simplify]: Simplify (* (tan (/ 1 x)) (tan (/ 1 x))) into (pow (tan (/ 1 x)) 2)
2.416 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0
2.416 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.416 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.416 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.416 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.416 * [taylor]: Taking taylor expansion of x in x
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 1 into 1
2.416 * [backup-simplify]: Simplify (/ 1 1) into 1
2.417 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.417 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.417 * [taylor]: Taking taylor expansion of x in x
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify 1 into 1
2.417 * [backup-simplify]: Simplify (/ 1 1) into 1
2.417 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.417 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.417 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.417 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.418 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.418 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.418 * [taylor]: Taking taylor expansion of x in x
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 1 into 1
2.418 * [backup-simplify]: Simplify (/ 1 1) into 1
2.418 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.418 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.418 * [taylor]: Taking taylor expansion of x in x
2.418 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify 1 into 1
2.419 * [backup-simplify]: Simplify (/ 1 1) into 1
2.419 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.419 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.419 * [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))
2.420 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
2.420 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
2.421 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
2.421 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.422 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
2.422 * [backup-simplify]: Simplify 0 into 0
2.423 * [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
2.424 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [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
2.426 * [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
2.426 * [backup-simplify]: Simplify 0 into 0
2.427 * [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
2.428 * [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
2.429 * [backup-simplify]: Simplify 0 into 0
2.429 * [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
2.431 * [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
2.431 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
2.431 * [backup-simplify]: Simplify (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) into (pow (tan (/ -1 x)) 2)
2.431 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0
2.431 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.431 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.431 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.431 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.431 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.431 * [taylor]: Taking taylor expansion of -1 in x
2.431 * [backup-simplify]: Simplify -1 into -1
2.431 * [taylor]: Taking taylor expansion of x in x
2.431 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify 1 into 1
2.432 * [backup-simplify]: Simplify (/ -1 1) into -1
2.432 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.432 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.432 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.432 * [taylor]: Taking taylor expansion of -1 in x
2.432 * [backup-simplify]: Simplify -1 into -1
2.432 * [taylor]: Taking taylor expansion of x in x
2.432 * [backup-simplify]: Simplify 0 into 0
2.432 * [backup-simplify]: Simplify 1 into 1
2.432 * [backup-simplify]: Simplify (/ -1 1) into -1
2.432 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.432 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.432 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.432 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.432 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.432 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.432 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.432 * [taylor]: Taking taylor expansion of -1 in x
2.432 * [backup-simplify]: Simplify -1 into -1
2.432 * [taylor]: Taking taylor expansion of x in x
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify 1 into 1
2.433 * [backup-simplify]: Simplify (/ -1 1) into -1
2.433 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.433 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.433 * [taylor]: Taking taylor expansion of -1 in x
2.433 * [backup-simplify]: Simplify -1 into -1
2.433 * [taylor]: Taking taylor expansion of x in x
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify 1 into 1
2.433 * [backup-simplify]: Simplify (/ -1 1) into -1
2.433 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.433 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.434 * [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))
2.434 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
2.434 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
2.434 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
2.434 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.435 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [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
2.436 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
2.436 * [backup-simplify]: Simplify 0 into 0
2.437 * [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
2.438 * [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
2.438 * [backup-simplify]: Simplify 0 into 0
2.438 * [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
2.439 * [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
2.439 * [backup-simplify]: Simplify 0 into 0
2.440 * [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
2.441 * [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
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
2.441 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2)
2.441 * [backup-simplify]: Simplify (* (tan x) (tan x)) into (pow (tan x) 2)
2.441 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0
2.441 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.441 * [taylor]: Taking taylor expansion of (tan x) in x
2.441 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.441 * [taylor]: Taking taylor expansion of (sin x) in x
2.441 * [taylor]: Taking taylor expansion of x in x
2.441 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify 1 into 1
2.442 * [taylor]: Taking taylor expansion of (cos x) in x
2.442 * [taylor]: Taking taylor expansion of x in x
2.442 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify 1 into 1
2.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.442 * [backup-simplify]: Simplify (/ 1 1) into 1
2.442 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
2.442 * [taylor]: Taking taylor expansion of (tan x) in x
2.442 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
2.442 * [taylor]: Taking taylor expansion of (sin x) in x
2.442 * [taylor]: Taking taylor expansion of x in x
2.442 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify 1 into 1
2.442 * [taylor]: Taking taylor expansion of (cos x) in x
2.442 * [taylor]: Taking taylor expansion of x in x
2.442 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify 1 into 1
2.443 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.443 * [backup-simplify]: Simplify (/ 1 1) into 1
2.443 * [backup-simplify]: Simplify (* 1 1) into 1
2.443 * [backup-simplify]: Simplify 1 into 1
2.444 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.444 * [backup-simplify]: Simplify (+ 0) into 0
2.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
2.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.445 * [backup-simplify]: Simplify 0 into 0
2.446 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.446 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
2.447 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
2.448 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
2.448 * [backup-simplify]: Simplify 2/3 into 2/3
2.449 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.449 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
2.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0
2.451 * [backup-simplify]: Simplify 0 into 0
2.453 * [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
2.454 * [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
2.456 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
2.456 * [backup-simplify]: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45
2.456 * [backup-simplify]: Simplify 17/45 into 17/45
2.457 * [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))))
2.457 * [backup-simplify]: Simplify (* (tan (/ 1 x)) (tan (/ 1 x))) into (pow (tan (/ 1 x)) 2)
2.457 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0
2.457 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.457 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.457 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.457 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.457 * [taylor]: Taking taylor expansion of x in x
2.457 * [backup-simplify]: Simplify 0 into 0
2.457 * [backup-simplify]: Simplify 1 into 1
2.458 * [backup-simplify]: Simplify (/ 1 1) into 1
2.458 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.458 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.458 * [taylor]: Taking taylor expansion of x in x
2.458 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify 1 into 1
2.458 * [backup-simplify]: Simplify (/ 1 1) into 1
2.458 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.458 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.458 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
2.458 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
2.458 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.458 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
2.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.458 * [taylor]: Taking taylor expansion of x in x
2.458 * [backup-simplify]: Simplify 0 into 0
2.458 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (/ 1 1) into 1
2.459 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
2.459 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
2.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.459 * [taylor]: Taking taylor expansion of x in x
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (/ 1 1) into 1
2.459 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
2.459 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
2.459 * [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))
2.460 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
2.460 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
2.460 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
2.460 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.461 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.462 * [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)))))) into 0
2.463 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.464 * [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
2.465 * [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
2.465 * [backup-simplify]: Simplify 0 into 0
2.466 * [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
2.467 * [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
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [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)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
2.470 * [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
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
2.471 * [backup-simplify]: Simplify (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) into (pow (tan (/ -1 x)) 2)
2.471 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0
2.471 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.471 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.471 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.471 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.471 * [taylor]: Taking taylor expansion of -1 in x
2.472 * [backup-simplify]: Simplify -1 into -1
2.472 * [taylor]: Taking taylor expansion of x in x
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 1 into 1
2.472 * [backup-simplify]: Simplify (/ -1 1) into -1
2.472 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.472 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.472 * [taylor]: Taking taylor expansion of -1 in x
2.472 * [backup-simplify]: Simplify -1 into -1
2.472 * [taylor]: Taking taylor expansion of x in x
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 1 into 1
2.473 * [backup-simplify]: Simplify (/ -1 1) into -1
2.473 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.473 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.473 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
2.473 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
2.473 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.473 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
2.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.473 * [taylor]: Taking taylor expansion of -1 in x
2.473 * [backup-simplify]: Simplify -1 into -1
2.473 * [taylor]: Taking taylor expansion of x in x
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.474 * [backup-simplify]: Simplify (/ -1 1) into -1
2.474 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
2.474 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
2.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.474 * [taylor]: Taking taylor expansion of -1 in x
2.474 * [backup-simplify]: Simplify -1 into -1
2.474 * [taylor]: Taking taylor expansion of x in x
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify 1 into 1
2.475 * [backup-simplify]: Simplify (/ -1 1) into -1
2.475 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
2.475 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
2.475 * [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))
2.476 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
2.476 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
2.477 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
2.478 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [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)))))) into 0
2.480 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [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
2.482 * [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
2.482 * [backup-simplify]: Simplify 0 into 0
2.483 * [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
2.485 * [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
2.485 * [backup-simplify]: Simplify 0 into 0
2.485 * [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
2.488 * [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
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
2.488 * * * [progress]: simplifying candidates
2.490 * [simplify]: Simplifying:
  (/ (exp (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (exp (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (log (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (exp (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (* (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))))
  (cbrt (- (/ 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 (+ 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))))))
  (sqrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (sqrt (- (/ 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 (+ 1.0 (* (tan x) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (* (tan x) (tan x))))
  (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
  (- (pow (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) 3) (pow (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))) 3))
  (+ (* (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (+ (* (/ (* (tan x) (tan x)) (+ 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)))))))
  (- (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))
  (- (* (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (* (/ (* (tan x) (tan x)) (+ 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)))))
  (+ (sqrt (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (- (sqrt (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (+ (sqrt (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (/ (tan x) (sqrt (+ 1.0 (* (tan x) (tan x))))))
  (- (sqrt (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (/ (tan x) (sqrt (+ 1.0 (* (tan x) (tan x))))))
  (+ (/ (sqrt 1.0) (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (- (/ (sqrt 1.0) (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (+ (/ (sqrt 1.0) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (tan x) (sqrt (+ 1.0 (* (tan x) (tan x))))))
  (- (/ (sqrt 1.0) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (tan x) (sqrt (+ 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 (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (* (tan x) (tan x)) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))))
  (- (/ 1.0 (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (/ (* (tan x) (tan x)) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))))
  (- (/ (* (tan x) (tan x)) (+ 1.0 (* (tan 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))
  (+ 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))
  (- (+ (* 0.6666666666666667 (pow x 4)) 1.0) (* 2.0 (pow x 2)))
  (- (* 1.0 (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))) (/ (pow (sin x) 2) (* (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0) (pow (cos x) 2))))
  (- (* 1.0 (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))) (/ (pow (sin x) 2) (* (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0) (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))
  (+ (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))
2.493 * * [simplify]: Extracting # 0 : cost  0
2.493 * * [simplify]: Extracting # 1 : cost  0
2.493 * * [simplify]: Extracting # 2 : cost  0
2.493 * * [simplify]: Extracting # 3 : cost  0
2.493 * * [simplify]: Extracting # 4 : cost  0
2.493 * * [simplify]: Extracting # 5 : cost  0
2.493 * * [simplify]: Extracting # 6 : cost  0
2.494 * * [simplify]: Extracting # 7 : cost  0
2.494 * * [simplify]: Extracting # 8 : cost  0
2.494 * * [simplify]: Extracting # 9 : cost  0
2.494 * * [simplify]: iteration  0 :  118  enodes  (cost  1623 )
2.529 * * [simplify]: Extracting # 0 : cost  0
2.530 * * [simplify]: Extracting # 1 : cost  0
2.530 * * [simplify]: Extracting # 2 : cost  0
2.531 * * [simplify]: Extracting # 3 : cost  0
2.531 * * [simplify]: Extracting # 4 : cost  0
2.532 * * [simplify]: iteration  1 :  295  enodes  (cost  1455 )
2.664 * * [simplify]: Extracting # 0 : cost  0
2.665 * * [simplify]: Extracting # 1 : cost  0
2.666 * * [simplify]: Extracting # 2 : cost  0
2.668 * * [simplify]: Extracting # 3 : cost  0
2.669 * * [simplify]: Extracting # 4 : cost  0
2.670 * * [simplify]: iteration  2 :  1236  enodes  (cost  1306 )
3.289 * * [simplify]: Extracting # 0 : cost  0
3.297 * * [simplify]: Extracting # 1 : cost  0
3.309 * * [simplify]: Extracting # 2 : cost  0
3.330 * * [simplify]: Extracting # 3 : cost  0
3.343 * * [simplify]: Extracting # 4 : cost  0
3.356 * * [simplify]: Extracting # 5 : cost  0
3.368 * * [simplify]: iteration done:  5000  enodes  (cost  1295 )
3.370 * [simplify]: Simplified to:
  (exp (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (log (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (exp (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (* (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))))
  (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (pow (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))) 3)
  (sqrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (sqrt (- (/ 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))) (- 1.0 (* (tan x) (tan x))))
  (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
  (- (pow (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) 3) (/ (pow (tan x) 6) (pow (+ 1.0 (* (tan x) (tan x))) 3)))
  (+ (* (/ (* (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 (+ 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)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (/ (/ (pow (tan x) 3) (/ (+ 1.0 (* (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)))))
  (+ (sqrt (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (- (sqrt (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (+ (sqrt (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (/ (tan x) (sqrt (+ 1.0 (* (tan x) (tan x))))))
  (- (sqrt (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (/ (tan x) (sqrt (+ 1.0 (* (tan x) (tan x))))))
  (+ (/ (sqrt 1.0) (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (- (/ (sqrt 1.0) (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))
  (+ (/ (sqrt 1.0) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (tan x) (sqrt (+ 1.0 (* (tan x) (tan x))))))
  (- (/ (sqrt 1.0) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (tan x) (sqrt (+ 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 (+ (pow (tan x) 6) (pow 1.0 3))) (/ (* (tan x) (tan x)) (+ (pow (tan x) 6) (pow 1.0 3))))
  (- (/ 1.0 (- (* 1.0 1.0) (pow (tan x) (+ 3 1)))) (/ (tan x) (/ (- (* 1.0 1.0) (pow (tan x) (+ 3 1))) (tan x))))
  (- (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))
  2
  (* (tan x) (tan x))
  2
  (* 2 (log (tan x)))
  (* 2 (log (tan x)))
  (exp (* (tan x) (tan x)))
  (pow (tan x) 6)
  (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x))))
  (cbrt (* (tan x) (tan x)))
  (pow (tan x) 6)
  (fabs (tan x))
  (fabs (tan x))
  (pow (sin x) 2)
  (pow (cos x) 2)
  (* (tan x) (cbrt (tan x)))
  (* (cbrt (tan x)) (cbrt (tan x)))
  (tan x)
  (tan x)
  1
  (* (tan x) (tan x))
  (tan x)
  (tan x)
  2
  (* (tan x) (* (cbrt (tan x)) (cbrt (tan x))))
  (pow (sqrt (tan x)) 3)
  (tan x)
  (* (tan x) (cbrt (tan x)))
  (pow (sqrt (tan x)) 3)
  (* (tan x) (tan x))
  (* (tan x) (sin x))
  (* (tan x) (sin x))
  2
  (* (tan x) (tan x))
  2
  (* 2 (log (tan x)))
  (* 2 (log (tan x)))
  (exp (* (tan x) (tan x)))
  (pow (tan x) 6)
  (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x))))
  (cbrt (* (tan x) (tan x)))
  (pow (tan x) 6)
  (fabs (tan x))
  (fabs (tan x))
  (pow (sin x) 2)
  (pow (cos x) 2)
  (* (tan x) (cbrt (tan x)))
  (* (cbrt (tan x)) (cbrt (tan x)))
  (tan x)
  (tan x)
  1
  (* (tan x) (tan x))
  (tan x)
  (tan x)
  2
  (* (tan x) (* (cbrt (tan x)) (cbrt (tan x))))
  (pow (sqrt (tan x)) 3)
  (tan x)
  (* (tan x) (cbrt (tan x)))
  (pow (sqrt (tan x)) 3)
  (* (tan x) (tan x))
  (* (tan x) (sin x))
  (* (tan x) (sin x))
  2
  (* (tan x) (tan x))
  2
  (* 2 (log (tan x)))
  (* 2 (log (tan x)))
  (exp (* (tan x) (tan x)))
  (pow (tan x) 6)
  (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x))))
  (cbrt (* (tan x) (tan x)))
  (pow (tan x) 6)
  (fabs (tan x))
  (fabs (tan x))
  (pow (sin x) 2)
  (pow (cos x) 2)
  (* (tan x) (cbrt (tan x)))
  (* (cbrt (tan x)) (cbrt (tan x)))
  (tan x)
  (tan x)
  1
  (* (tan x) (tan x))
  (tan x)
  (tan x)
  2
  (* (tan x) (* (cbrt (tan x)) (cbrt (tan x))))
  (pow (sqrt (tan x)) 3)
  (tan x)
  (* (tan x) (cbrt (tan x)))
  (pow (sqrt (tan x)) 3)
  (* (tan x) (tan x))
  (* (tan x) (sin x))
  (* (tan x) (sin x))
  (- (+ (* 0.6666666666666667 (pow x 4)) 1.0) (* 2.0 (pow x 2)))
  (- (/ 1.0 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (pow (sin x) 2) (* (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0) (pow (cos x) 2))))
  (- (/ 1.0 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (pow (sin x) 2) (* (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0) (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))
  (+ (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))
3.371 * * * [progress]: adding candidates to table
3.746 * * [progress]: iteration 3 / 4
3.746 * * * [progress]: picking best candidate
3.769 * * * * [pick]: Picked  #<alt (λ (x) (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))))>
3.769 * * * [progress]: localizing error
3.780 * * * [progress]: generating rewritten candidates
3.780 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
3.800 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2)
3.816 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.889 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
3.920 * * * [progress]: generating series expansions
3.920 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
3.920 * [backup-simplify]: Simplify (* (tan x) (tan x)) into (pow (tan x) 2)
3.920 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0
3.920 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
3.920 * [taylor]: Taking taylor expansion of (tan x) in x
3.921 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
3.921 * [taylor]: Taking taylor expansion of (sin x) in x
3.921 * [taylor]: Taking taylor expansion of x in x
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 1 into 1
3.921 * [taylor]: Taking taylor expansion of (cos x) in x
3.921 * [taylor]: Taking taylor expansion of x in x
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 1 into 1
3.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.922 * [backup-simplify]: Simplify (/ 1 1) into 1
3.922 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
3.922 * [taylor]: Taking taylor expansion of (tan x) in x
3.923 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
3.923 * [taylor]: Taking taylor expansion of (sin x) in x
3.923 * [taylor]: Taking taylor expansion of x in x
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify 1 into 1
3.923 * [taylor]: Taking taylor expansion of (cos x) in x
3.923 * [taylor]: Taking taylor expansion of x in x
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify 1 into 1
3.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.924 * [backup-simplify]: Simplify (/ 1 1) into 1
3.924 * [backup-simplify]: Simplify (* 1 1) into 1
3.924 * [backup-simplify]: Simplify 1 into 1
3.925 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.926 * [backup-simplify]: Simplify (+ 0) into 0
3.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.927 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.932 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
3.933 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
3.933 * [backup-simplify]: Simplify 2/3 into 2/3
3.934 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.935 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
3.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0
3.938 * [backup-simplify]: Simplify 0 into 0
3.942 * [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
3.945 * [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
3.947 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
3.948 * [backup-simplify]: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45
3.948 * [backup-simplify]: Simplify 17/45 into 17/45
3.949 * [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))))
3.949 * [backup-simplify]: Simplify (* (tan (/ 1 x)) (tan (/ 1 x))) into (pow (tan (/ 1 x)) 2)
3.949 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0
3.949 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
3.950 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
3.950 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.950 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.950 * [taylor]: Taking taylor expansion of x in x
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.950 * [backup-simplify]: Simplify (/ 1 1) into 1
3.950 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.950 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
3.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.950 * [taylor]: Taking taylor expansion of x in x
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.951 * [backup-simplify]: Simplify (/ 1 1) into 1
3.951 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
3.951 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.951 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
3.951 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
3.951 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.951 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
3.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.951 * [taylor]: Taking taylor expansion of x in x
3.951 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify 1 into 1
3.952 * [backup-simplify]: Simplify (/ 1 1) into 1
3.952 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
3.952 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
3.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.952 * [taylor]: Taking taylor expansion of x in x
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 1 into 1
3.952 * [backup-simplify]: Simplify (/ 1 1) into 1
3.953 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
3.953 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
3.953 * [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))
3.953 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
3.954 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
3.954 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
3.954 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
3.956 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
3.956 * [backup-simplify]: Simplify 0 into 0
3.956 * [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
3.957 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
3.957 * [backup-simplify]: Simplify 0 into 0
3.958 * [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
3.960 * [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
3.960 * [backup-simplify]: Simplify 0 into 0
3.961 * [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
3.963 * [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
3.963 * [backup-simplify]: Simplify 0 into 0
3.964 * [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
3.966 * [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
3.966 * [backup-simplify]: Simplify 0 into 0
3.966 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
3.967 * [backup-simplify]: Simplify (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) into (pow (tan (/ -1 x)) 2)
3.967 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0
3.967 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
3.967 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
3.967 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.967 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.967 * [taylor]: Taking taylor expansion of -1 in x
3.967 * [backup-simplify]: Simplify -1 into -1
3.967 * [taylor]: Taking taylor expansion of x in x
3.967 * [backup-simplify]: Simplify 0 into 0
3.967 * [backup-simplify]: Simplify 1 into 1
3.968 * [backup-simplify]: Simplify (/ -1 1) into -1
3.968 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.968 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
3.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.968 * [taylor]: Taking taylor expansion of -1 in x
3.968 * [backup-simplify]: Simplify -1 into -1
3.968 * [taylor]: Taking taylor expansion of x in x
3.968 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify 1 into 1
3.968 * [backup-simplify]: Simplify (/ -1 1) into -1
3.968 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
3.969 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.969 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
3.969 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
3.969 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.969 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
3.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.969 * [taylor]: Taking taylor expansion of -1 in x
3.969 * [backup-simplify]: Simplify -1 into -1
3.969 * [taylor]: Taking taylor expansion of x in x
3.969 * [backup-simplify]: Simplify 0 into 0
3.969 * [backup-simplify]: Simplify 1 into 1
3.969 * [backup-simplify]: Simplify (/ -1 1) into -1
3.970 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
3.970 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
3.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.970 * [taylor]: Taking taylor expansion of -1 in x
3.970 * [backup-simplify]: Simplify -1 into -1
3.970 * [taylor]: Taking taylor expansion of x in x
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 1 into 1
3.970 * [backup-simplify]: Simplify (/ -1 1) into -1
3.970 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
3.971 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
3.971 * [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))
3.971 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
3.972 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
3.972 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
3.972 * [backup-simplify]: Simplify 0 into 0
3.973 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
3.974 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
3.974 * [backup-simplify]: Simplify 0 into 0
3.975 * [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
3.976 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
3.976 * [backup-simplify]: Simplify 0 into 0
3.977 * [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
3.978 * [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
3.978 * [backup-simplify]: Simplify 0 into 0
3.979 * [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
3.981 * [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
3.981 * [backup-simplify]: Simplify 0 into 0
3.982 * [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
3.984 * [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
3.984 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
3.985 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2)
3.985 * [backup-simplify]: Simplify (* (tan x) (tan x)) into (pow (tan x) 2)
3.985 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0
3.985 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
3.985 * [taylor]: Taking taylor expansion of (tan x) in x
3.985 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
3.985 * [taylor]: Taking taylor expansion of (sin x) in x
3.985 * [taylor]: Taking taylor expansion of x in x
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 1 into 1
3.985 * [taylor]: Taking taylor expansion of (cos x) in x
3.985 * [taylor]: Taking taylor expansion of x in x
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 1 into 1
3.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.987 * [backup-simplify]: Simplify (/ 1 1) into 1
3.987 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
3.987 * [taylor]: Taking taylor expansion of (tan x) in x
3.987 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
3.987 * [taylor]: Taking taylor expansion of (sin x) in x
3.987 * [taylor]: Taking taylor expansion of x in x
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify 1 into 1
3.987 * [taylor]: Taking taylor expansion of (cos x) in x
3.987 * [taylor]: Taking taylor expansion of x in x
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify 1 into 1
3.988 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.988 * [backup-simplify]: Simplify (/ 1 1) into 1
3.989 * [backup-simplify]: Simplify (* 1 1) into 1
3.989 * [backup-simplify]: Simplify 1 into 1
3.990 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.990 * [backup-simplify]: Simplify (+ 0) into 0
3.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.991 * [backup-simplify]: Simplify 0 into 0
3.993 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
3.995 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
3.996 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
3.996 * [backup-simplify]: Simplify 2/3 into 2/3
3.998 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.999 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
4.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0
4.002 * [backup-simplify]: Simplify 0 into 0
4.006 * [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
4.008 * [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
4.011 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
4.013 * [backup-simplify]: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45
4.013 * [backup-simplify]: Simplify 17/45 into 17/45
4.013 * [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))))
4.014 * [backup-simplify]: Simplify (* (tan (/ 1 x)) (tan (/ 1 x))) into (pow (tan (/ 1 x)) 2)
4.014 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0
4.014 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
4.014 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
4.014 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.014 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.014 * [taylor]: Taking taylor expansion of x in x
4.014 * [backup-simplify]: Simplify 0 into 0
4.014 * [backup-simplify]: Simplify 1 into 1
4.014 * [backup-simplify]: Simplify (/ 1 1) into 1
4.014 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.014 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
4.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.015 * [taylor]: Taking taylor expansion of x in x
4.015 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify 1 into 1
4.015 * [backup-simplify]: Simplify (/ 1 1) into 1
4.015 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
4.015 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.015 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
4.015 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
4.015 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.015 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.015 * [taylor]: Taking taylor expansion of x in x
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 1 into 1
4.016 * [backup-simplify]: Simplify (/ 1 1) into 1
4.016 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.016 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
4.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.016 * [taylor]: Taking taylor expansion of x in x
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 1 into 1
4.017 * [backup-simplify]: Simplify (/ 1 1) into 1
4.017 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
4.017 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.017 * [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))
4.018 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
4.018 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
4.018 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
4.018 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
4.020 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
4.020 * [backup-simplify]: Simplify 0 into 0
4.020 * [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
4.021 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [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
4.024 * [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
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [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
4.026 * [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
4.026 * [backup-simplify]: Simplify 0 into 0
4.027 * [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
4.030 * [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
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
4.031 * [backup-simplify]: Simplify (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) into (pow (tan (/ -1 x)) 2)
4.031 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0
4.031 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
4.031 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
4.031 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.031 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.031 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.031 * [taylor]: Taking taylor expansion of -1 in x
4.031 * [backup-simplify]: Simplify -1 into -1
4.031 * [taylor]: Taking taylor expansion of x in x
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 1 into 1
4.031 * [backup-simplify]: Simplify (/ -1 1) into -1
4.032 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.032 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
4.032 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.032 * [taylor]: Taking taylor expansion of -1 in x
4.032 * [backup-simplify]: Simplify -1 into -1
4.032 * [taylor]: Taking taylor expansion of x in x
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [backup-simplify]: Simplify (/ -1 1) into -1
4.032 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
4.032 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.032 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
4.033 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
4.033 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.033 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.033 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.033 * [taylor]: Taking taylor expansion of -1 in x
4.033 * [backup-simplify]: Simplify -1 into -1
4.033 * [taylor]: Taking taylor expansion of x in x
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 1 into 1
4.033 * [backup-simplify]: Simplify (/ -1 1) into -1
4.033 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.033 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
4.033 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.034 * [taylor]: Taking taylor expansion of -1 in x
4.034 * [backup-simplify]: Simplify -1 into -1
4.034 * [taylor]: Taking taylor expansion of x in x
4.034 * [backup-simplify]: Simplify 0 into 0
4.034 * [backup-simplify]: Simplify 1 into 1
4.034 * [backup-simplify]: Simplify (/ -1 1) into -1
4.034 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
4.034 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.035 * [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))
4.035 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
4.036 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
4.036 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
4.036 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
4.037 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
4.037 * [backup-simplify]: Simplify 0 into 0
4.038 * [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
4.039 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
4.039 * [backup-simplify]: Simplify 0 into 0
4.040 * [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
4.041 * [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
4.041 * [backup-simplify]: Simplify 0 into 0
4.042 * [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
4.044 * [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
4.044 * [backup-simplify]: Simplify 0 into 0
4.045 * [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
4.047 * [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
4.047 * [backup-simplify]: Simplify 0 into 0
4.048 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
4.048 * * * * [progress]: [ 3 / 4 ] generating series at (2)
4.048 * [backup-simplify]: Simplify (* (/ 1 (+ 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))
4.048 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0
4.048 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x
4.048 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x
4.048 * [taylor]: Taking taylor expansion of 1.0 in x
4.048 * [backup-simplify]: Simplify 1.0 into 1.0
4.048 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
4.048 * [taylor]: Taking taylor expansion of (tan x) in x
4.048 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
4.049 * [taylor]: Taking taylor expansion of (sin x) in x
4.049 * [taylor]: Taking taylor expansion of x in x
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify 1 into 1
4.049 * [taylor]: Taking taylor expansion of (cos x) in x
4.049 * [taylor]: Taking taylor expansion of x in x
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify 1 into 1
4.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.050 * [backup-simplify]: Simplify (/ 1 1) into 1
4.050 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
4.050 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
4.050 * [taylor]: Taking taylor expansion of (tan x) in x
4.050 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
4.050 * [taylor]: Taking taylor expansion of (sin x) in x
4.050 * [taylor]: Taking taylor expansion of x in x
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 1 into 1
4.050 * [taylor]: Taking taylor expansion of (cos x) in x
4.050 * [taylor]: Taking taylor expansion of x in x
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 1 into 1
4.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.051 * [backup-simplify]: Simplify (/ 1 1) into 1
4.051 * [taylor]: Taking taylor expansion of 1.0 in x
4.051 * [backup-simplify]: Simplify 1.0 into 1.0
4.052 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
4.052 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.053 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
4.053 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in x
4.053 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan x) 2)) in x
4.053 * [taylor]: Taking taylor expansion of 1.0 in x
4.053 * [backup-simplify]: Simplify 1.0 into 1.0
4.053 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
4.053 * [taylor]: Taking taylor expansion of (tan x) in x
4.053 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
4.053 * [taylor]: Taking taylor expansion of (sin x) in x
4.053 * [taylor]: Taking taylor expansion of x in x
4.053 * [backup-simplify]: Simplify 0 into 0
4.053 * [backup-simplify]: Simplify 1 into 1
4.053 * [taylor]: Taking taylor expansion of (cos x) in x
4.053 * [taylor]: Taking taylor expansion of x in x
4.053 * [backup-simplify]: Simplify 0 into 0
4.053 * [backup-simplify]: Simplify 1 into 1
4.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.054 * [backup-simplify]: Simplify (/ 1 1) into 1
4.054 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
4.054 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
4.055 * [taylor]: Taking taylor expansion of (tan x) in x
4.055 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
4.055 * [taylor]: Taking taylor expansion of (sin x) in x
4.055 * [taylor]: Taking taylor expansion of x in x
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 1 into 1
4.055 * [taylor]: Taking taylor expansion of (cos x) in x
4.055 * [taylor]: Taking taylor expansion of x in x
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 1 into 1
4.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.056 * [backup-simplify]: Simplify (/ 1 1) into 1
4.056 * [taylor]: Taking taylor expansion of 1.0 in x
4.056 * [backup-simplify]: Simplify 1.0 into 1.0
4.056 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
4.057 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.057 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
4.057 * [backup-simplify]: Simplify 1.0 into 1.0
4.058 * [backup-simplify]: Simplify (+ 0 0) into 0
4.058 * [backup-simplify]: Simplify (+ 0 0) into 0
4.063 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0
4.063 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify (* 1 1) into 1
4.064 * [backup-simplify]: Simplify (- 1) into -1
4.064 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.065 * [backup-simplify]: Simplify (* 1 1) into 1
4.065 * [backup-simplify]: Simplify (+ 1 0) into 1
4.069 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 2.0)
4.070 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
4.071 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.071 * [backup-simplify]: Simplify (+ 0) into 0
4.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.073 * [backup-simplify]: Simplify (- 0) into 0
4.073 * [backup-simplify]: Simplify (+ 0 0) into 0
4.074 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.074 * [backup-simplify]: Simplify (+ 0) into 0
4.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.076 * [backup-simplify]: Simplify (+ 0 0) into 0
4.078 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* (- 2.0) (/ 0 1.0)))) into 0
4.078 * [backup-simplify]: Simplify 0 into 0
4.079 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.082 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
4.083 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
4.083 * [backup-simplify]: Simplify (- 2/3) into -2/3
4.083 * [backup-simplify]: Simplify (+ 0 -2/3) into -2/3
4.085 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.086 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.087 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
4.088 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
4.089 * [backup-simplify]: Simplify (+ 2/3 0) into 2/3
4.096 * [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
4.097 * [backup-simplify]: Simplify 0.6666666666666669 into 0.6666666666666669
4.097 * [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)))
4.098 * [backup-simplify]: Simplify (* (/ 1 (+ 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))
4.098 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0
4.098 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
4.098 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x
4.098 * [taylor]: Taking taylor expansion of 1.0 in x
4.098 * [backup-simplify]: Simplify 1.0 into 1.0
4.098 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
4.098 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
4.098 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.099 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.099 * [taylor]: Taking taylor expansion of x in x
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify 1 into 1
4.099 * [backup-simplify]: Simplify (/ 1 1) into 1
4.099 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.099 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
4.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.099 * [taylor]: Taking taylor expansion of x in x
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify 1 into 1
4.100 * [backup-simplify]: Simplify (/ 1 1) into 1
4.100 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
4.100 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.100 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
4.100 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
4.100 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
4.100 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.100 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.100 * [taylor]: Taking taylor expansion of x in x
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [backup-simplify]: Simplify 1 into 1
4.101 * [backup-simplify]: Simplify (/ 1 1) into 1
4.101 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.101 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
4.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.101 * [taylor]: Taking taylor expansion of x in x
4.101 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify 1 into 1
4.101 * [backup-simplify]: Simplify (/ 1 1) into 1
4.101 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
4.102 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.102 * [taylor]: Taking taylor expansion of 1.0 in x
4.102 * [backup-simplify]: Simplify 1.0 into 1.0
4.102 * [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))
4.103 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
4.103 * [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)))
4.103 * [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))
4.104 * [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)))
4.105 * [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))
4.105 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
4.105 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ 1 x)) 2)) in x
4.105 * [taylor]: Taking taylor expansion of 1.0 in x
4.105 * [backup-simplify]: Simplify 1.0 into 1.0
4.105 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
4.105 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
4.105 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.105 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.105 * [taylor]: Taking taylor expansion of x in x
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify 1 into 1
4.106 * [backup-simplify]: Simplify (/ 1 1) into 1
4.106 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.106 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
4.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.106 * [taylor]: Taking taylor expansion of x in x
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 1 into 1
4.106 * [backup-simplify]: Simplify (/ 1 1) into 1
4.106 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
4.107 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.107 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
4.107 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
4.107 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
4.107 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.107 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.107 * [taylor]: Taking taylor expansion of x in x
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify 1 into 1
4.107 * [backup-simplify]: Simplify (/ 1 1) into 1
4.107 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.108 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
4.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.108 * [taylor]: Taking taylor expansion of x in x
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 1 into 1
4.108 * [backup-simplify]: Simplify (/ 1 1) into 1
4.108 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
4.108 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.108 * [taylor]: Taking taylor expansion of 1.0 in x
4.108 * [backup-simplify]: Simplify 1.0 into 1.0
4.109 * [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))
4.109 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
4.110 * [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)))
4.110 * [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))
4.110 * [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)))
4.111 * [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))
4.112 * [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))))
4.113 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
4.113 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
4.114 * [backup-simplify]: Simplify (- 0) into 0
4.114 * [backup-simplify]: Simplify (+ 0 0) into 0
4.114 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
4.115 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
4.115 * [backup-simplify]: Simplify (+ 0 0) into 0
4.117 * [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
4.117 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
4.118 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
4.119 * [backup-simplify]: Simplify (- 0) into 0
4.119 * [backup-simplify]: Simplify (+ 0 0) into 0
4.120 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
4.121 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
4.121 * [backup-simplify]: Simplify (+ 0 0) into 0
4.123 * [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
4.123 * [backup-simplify]: Simplify 0 into 0
4.124 * [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
4.125 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
4.126 * [backup-simplify]: Simplify (- 0) into 0
4.126 * [backup-simplify]: Simplify (+ 0 0) into 0
4.127 * [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
4.128 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
4.128 * [backup-simplify]: Simplify (+ 0 0) into 0
4.131 * [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
4.131 * [backup-simplify]: Simplify 0 into 0
4.132 * [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
4.133 * [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
4.134 * [backup-simplify]: Simplify (- 0) into 0
4.134 * [backup-simplify]: Simplify (+ 0 0) into 0
4.135 * [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
4.136 * [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
4.137 * [backup-simplify]: Simplify (+ 0 0) into 0
4.140 * [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
4.140 * [backup-simplify]: Simplify 0 into 0
4.141 * [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
4.143 * [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
4.143 * [backup-simplify]: Simplify (- 0) into 0
4.144 * [backup-simplify]: Simplify (+ 0 0) into 0
4.144 * [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
4.146 * [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
4.147 * [backup-simplify]: Simplify (+ 0 0) into 0
4.150 * [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
4.150 * [backup-simplify]: Simplify 0 into 0
4.151 * [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
4.154 * [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
4.154 * [backup-simplify]: Simplify (- 0) into 0
4.155 * [backup-simplify]: Simplify (+ 0 0) into 0
4.155 * [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
4.158 * [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
4.158 * [backup-simplify]: Simplify (+ 0 0) into 0
4.163 * [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
4.163 * [backup-simplify]: Simplify 0 into 0
4.164 * [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))
4.165 * [backup-simplify]: Simplify (* (/ 1 (+ 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))
4.165 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0
4.165 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
4.165 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x
4.165 * [taylor]: Taking taylor expansion of 1.0 in x
4.165 * [backup-simplify]: Simplify 1.0 into 1.0
4.165 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
4.165 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
4.165 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.165 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.165 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.165 * [taylor]: Taking taylor expansion of -1 in x
4.165 * [backup-simplify]: Simplify -1 into -1
4.165 * [taylor]: Taking taylor expansion of x in x
4.165 * [backup-simplify]: Simplify 0 into 0
4.165 * [backup-simplify]: Simplify 1 into 1
4.166 * [backup-simplify]: Simplify (/ -1 1) into -1
4.166 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.166 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
4.166 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.166 * [taylor]: Taking taylor expansion of -1 in x
4.166 * [backup-simplify]: Simplify -1 into -1
4.166 * [taylor]: Taking taylor expansion of x in x
4.166 * [backup-simplify]: Simplify 0 into 0
4.166 * [backup-simplify]: Simplify 1 into 1
4.166 * [backup-simplify]: Simplify (/ -1 1) into -1
4.167 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
4.167 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.167 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
4.167 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
4.167 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
4.167 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.167 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.167 * [taylor]: Taking taylor expansion of -1 in x
4.167 * [backup-simplify]: Simplify -1 into -1
4.167 * [taylor]: Taking taylor expansion of x in x
4.167 * [backup-simplify]: Simplify 0 into 0
4.167 * [backup-simplify]: Simplify 1 into 1
4.168 * [backup-simplify]: Simplify (/ -1 1) into -1
4.168 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.168 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
4.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.168 * [taylor]: Taking taylor expansion of -1 in x
4.168 * [backup-simplify]: Simplify -1 into -1
4.168 * [taylor]: Taking taylor expansion of x in x
4.168 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify 1 into 1
4.168 * [backup-simplify]: Simplify (/ -1 1) into -1
4.168 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
4.168 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.169 * [taylor]: Taking taylor expansion of 1.0 in x
4.169 * [backup-simplify]: Simplify 1.0 into 1.0
4.169 * [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))
4.169 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
4.170 * [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)))
4.170 * [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))
4.171 * [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)
4.172 * [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))
4.172 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
4.172 * [taylor]: Taking taylor expansion of (- 1.0 (pow (tan (/ -1 x)) 2)) in x
4.172 * [taylor]: Taking taylor expansion of 1.0 in x
4.172 * [backup-simplify]: Simplify 1.0 into 1.0
4.172 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
4.172 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
4.172 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.172 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.172 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.172 * [taylor]: Taking taylor expansion of -1 in x
4.172 * [backup-simplify]: Simplify -1 into -1
4.172 * [taylor]: Taking taylor expansion of x in x
4.172 * [backup-simplify]: Simplify 0 into 0
4.172 * [backup-simplify]: Simplify 1 into 1
4.173 * [backup-simplify]: Simplify (/ -1 1) into -1
4.173 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.173 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
4.173 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.173 * [taylor]: Taking taylor expansion of -1 in x
4.173 * [backup-simplify]: Simplify -1 into -1
4.173 * [taylor]: Taking taylor expansion of x in x
4.173 * [backup-simplify]: Simplify 0 into 0
4.173 * [backup-simplify]: Simplify 1 into 1
4.174 * [backup-simplify]: Simplify (/ -1 1) into -1
4.174 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
4.174 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.174 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
4.174 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
4.174 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
4.174 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.174 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.174 * [taylor]: Taking taylor expansion of -1 in x
4.174 * [backup-simplify]: Simplify -1 into -1
4.174 * [taylor]: Taking taylor expansion of x in x
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [backup-simplify]: Simplify 1 into 1
4.175 * [backup-simplify]: Simplify (/ -1 1) into -1
4.175 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.175 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
4.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.175 * [taylor]: Taking taylor expansion of -1 in x
4.175 * [backup-simplify]: Simplify -1 into -1
4.175 * [taylor]: Taking taylor expansion of x in x
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify 1 into 1
4.176 * [backup-simplify]: Simplify (/ -1 1) into -1
4.176 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
4.176 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.176 * [taylor]: Taking taylor expansion of 1.0 in x
4.176 * [backup-simplify]: Simplify 1.0 into 1.0
4.176 * [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))
4.177 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
4.177 * [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)))
4.178 * [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))
4.178 * [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)
4.179 * [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))
4.180 * [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))
4.180 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
4.181 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
4.181 * [backup-simplify]: Simplify (- 0) into 0
4.182 * [backup-simplify]: Simplify (+ 0 0) into 0
4.182 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
4.182 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
4.183 * [backup-simplify]: Simplify (+ 0 0) into 0
4.185 * [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
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
4.187 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
4.187 * [backup-simplify]: Simplify (- 0) into 0
4.187 * [backup-simplify]: Simplify (+ 0 0) into 0
4.188 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
4.189 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
4.189 * [backup-simplify]: Simplify (+ 0 0) into 0
4.191 * [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
4.191 * [backup-simplify]: Simplify 0 into 0
4.192 * [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
4.193 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
4.194 * [backup-simplify]: Simplify (- 0) into 0
4.194 * [backup-simplify]: Simplify (+ 0 0) into 0
4.195 * [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
4.196 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
4.196 * [backup-simplify]: Simplify (+ 0 0) into 0
4.199 * [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
4.199 * [backup-simplify]: Simplify 0 into 0
4.200 * [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
4.202 * [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
4.202 * [backup-simplify]: Simplify (- 0) into 0
4.202 * [backup-simplify]: Simplify (+ 0 0) into 0
4.203 * [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
4.205 * [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
4.205 * [backup-simplify]: Simplify (+ 0 0) into 0
4.208 * [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
4.208 * [backup-simplify]: Simplify 0 into 0
4.209 * [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
4.210 * [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
4.211 * [backup-simplify]: Simplify (- 0) into 0
4.211 * [backup-simplify]: Simplify (+ 0 0) into 0
4.211 * [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
4.212 * [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
4.213 * [backup-simplify]: Simplify (+ 0 0) into 0
4.215 * [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
4.215 * [backup-simplify]: Simplify 0 into 0
4.215 * [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
4.216 * [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
4.217 * [backup-simplify]: Simplify (- 0) into 0
4.217 * [backup-simplify]: Simplify (+ 0 0) into 0
4.217 * [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
4.219 * [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
4.219 * [backup-simplify]: Simplify (+ 0 0) into 0
4.221 * [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
4.221 * [backup-simplify]: Simplify 0 into 0
4.222 * [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))
4.222 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
4.222 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (* (tan x) (tan x)))) into (/ 1 (+ (pow (tan x) 2) 1.0))
4.222 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow (tan x) 2) 1.0)) in (x) around 0
4.222 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan x) 2) 1.0)) in x
4.222 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
4.222 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
4.222 * [taylor]: Taking taylor expansion of (tan x) in x
4.222 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
4.222 * [taylor]: Taking taylor expansion of (sin x) in x
4.222 * [taylor]: Taking taylor expansion of x in x
4.222 * [backup-simplify]: Simplify 0 into 0
4.222 * [backup-simplify]: Simplify 1 into 1
4.222 * [taylor]: Taking taylor expansion of (cos x) in x
4.222 * [taylor]: Taking taylor expansion of x in x
4.222 * [backup-simplify]: Simplify 0 into 0
4.222 * [backup-simplify]: Simplify 1 into 1
4.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.223 * [backup-simplify]: Simplify (/ 1 1) into 1
4.223 * [taylor]: Taking taylor expansion of 1.0 in x
4.223 * [backup-simplify]: Simplify 1.0 into 1.0
4.224 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.224 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0
4.224 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan x) 2) 1.0)) in x
4.224 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
4.224 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
4.224 * [taylor]: Taking taylor expansion of (tan x) in x
4.224 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
4.224 * [taylor]: Taking taylor expansion of (sin x) in x
4.224 * [taylor]: Taking taylor expansion of x in x
4.224 * [backup-simplify]: Simplify 0 into 0
4.224 * [backup-simplify]: Simplify 1 into 1
4.224 * [taylor]: Taking taylor expansion of (cos x) in x
4.224 * [taylor]: Taking taylor expansion of x in x
4.224 * [backup-simplify]: Simplify 0 into 0
4.224 * [backup-simplify]: Simplify 1 into 1
4.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.225 * [backup-simplify]: Simplify (/ 1 1) into 1
4.225 * [taylor]: Taking taylor expansion of 1.0 in x
4.225 * [backup-simplify]: Simplify 1.0 into 1.0
4.225 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
4.225 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0
4.226 * [backup-simplify]: Simplify 1.0 into 1.0
4.228 * [backup-simplify]: Simplify (+ 0 0) into 0
4.229 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify (* 1 1) into 1
4.229 * [backup-simplify]: Simplify (+ 1 0) into 1
4.231 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 1.0)
4.232 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
4.232 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.232 * [backup-simplify]: Simplify (+ 0) into 0
4.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.233 * [backup-simplify]: Simplify (+ 0 0) into 0
4.234 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* (- 1.0) (/ 0 1.0)))) into 0
4.234 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.236 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
4.237 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
4.237 * [backup-simplify]: Simplify (+ 2/3 0) into 2/3
4.244 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 2/3 1.0)) (* 0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)) (* 0 (/ 0 1.0)))) into 0.33333333333333337
4.244 * [backup-simplify]: Simplify 0.33333333333333337 into 0.33333333333333337
4.245 * [backup-simplify]: Simplify (+ (* 0.33333333333333337 (pow x 4)) (+ (* (- 1.0) (pow x 2)) 1.0)) into (- (+ (* 0.33333333333333337 (pow x 4)) 1.0) (* 1.0 (pow x 2)))
4.245 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (* (tan (/ 1 x)) (tan (/ 1 x))))) into (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0))
4.245 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0
4.245 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
4.246 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
4.246 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
4.246 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
4.246 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.246 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.246 * [taylor]: Taking taylor expansion of x in x
4.246 * [backup-simplify]: Simplify 0 into 0
4.246 * [backup-simplify]: Simplify 1 into 1
4.246 * [backup-simplify]: Simplify (/ 1 1) into 1
4.246 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.246 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
4.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.247 * [taylor]: Taking taylor expansion of x in x
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify 1 into 1
4.247 * [backup-simplify]: Simplify (/ 1 1) into 1
4.247 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
4.247 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.247 * [taylor]: Taking taylor expansion of 1.0 in x
4.247 * [backup-simplify]: Simplify 1.0 into 1.0
4.248 * [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))
4.248 * [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)))
4.249 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))
4.249 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
4.249 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
4.249 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
4.249 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
4.249 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.249 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
4.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.249 * [taylor]: Taking taylor expansion of x in x
4.249 * [backup-simplify]: Simplify 0 into 0
4.249 * [backup-simplify]: Simplify 1 into 1
4.250 * [backup-simplify]: Simplify (/ 1 1) into 1
4.250 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
4.250 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
4.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.250 * [taylor]: Taking taylor expansion of x in x
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify 1 into 1
4.250 * [backup-simplify]: Simplify (/ 1 1) into 1
4.250 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
4.251 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
4.251 * [taylor]: Taking taylor expansion of 1.0 in x
4.251 * [backup-simplify]: Simplify 1.0 into 1.0
4.251 * [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))
4.251 * [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)))
4.252 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0))
4.252 * [backup-simplify]: Simplify (/ 1 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1.0)) into (/ 1 (+ 1.0 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))))
4.253 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
4.253 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
4.254 * [backup-simplify]: Simplify (+ 0 0) into 0
4.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.255 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
4.256 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
4.257 * [backup-simplify]: Simplify (+ 0 0) into 0
4.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.258 * [backup-simplify]: Simplify 0 into 0
4.259 * [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
4.260 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
4.260 * [backup-simplify]: Simplify (+ 0 0) into 0
4.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.262 * [backup-simplify]: Simplify 0 into 0
4.263 * [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
4.264 * [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
4.265 * [backup-simplify]: Simplify (+ 0 0) into 0
4.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.267 * [backup-simplify]: Simplify 0 into 0
4.268 * [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
4.270 * [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
4.271 * [backup-simplify]: Simplify (+ 0 0) into 0
4.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.274 * [backup-simplify]: Simplify 0 into 0
4.275 * [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
4.278 * [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
4.278 * [backup-simplify]: Simplify (+ 0 0) into 0
4.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.282 * [backup-simplify]: Simplify 0 into 0
4.282 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)))) into (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))
4.283 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) into (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0))
4.283 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0
4.283 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
4.283 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
4.283 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
4.283 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
4.283 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.283 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.283 * [taylor]: Taking taylor expansion of -1 in x
4.283 * [backup-simplify]: Simplify -1 into -1
4.283 * [taylor]: Taking taylor expansion of x in x
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify 1 into 1
4.284 * [backup-simplify]: Simplify (/ -1 1) into -1
4.284 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.284 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
4.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.284 * [taylor]: Taking taylor expansion of -1 in x
4.284 * [backup-simplify]: Simplify -1 into -1
4.284 * [taylor]: Taking taylor expansion of x in x
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 1 into 1
4.285 * [backup-simplify]: Simplify (/ -1 1) into -1
4.285 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
4.285 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.285 * [taylor]: Taking taylor expansion of 1.0 in x
4.285 * [backup-simplify]: Simplify 1.0 into 1.0
4.285 * [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))
4.286 * [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)
4.286 * [backup-simplify]: Simplify (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) into (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))
4.286 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
4.286 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
4.286 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
4.286 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
4.286 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.286 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
4.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.286 * [taylor]: Taking taylor expansion of -1 in x
4.286 * [backup-simplify]: Simplify -1 into -1
4.286 * [taylor]: Taking taylor expansion of x in x
4.286 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify 1 into 1
4.286 * [backup-simplify]: Simplify (/ -1 1) into -1
4.287 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
4.287 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
4.287 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.287 * [taylor]: Taking taylor expansion of -1 in x
4.287 * [backup-simplify]: Simplify -1 into -1
4.287 * [taylor]: Taking taylor expansion of x in x
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify 1 into 1
4.287 * [backup-simplify]: Simplify (/ -1 1) into -1
4.287 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
4.287 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
4.287 * [taylor]: Taking taylor expansion of 1.0 in x
4.287 * [backup-simplify]: Simplify 1.0 into 1.0
4.287 * [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))
4.288 * [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)
4.288 * [backup-simplify]: Simplify (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) into (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))
4.288 * [backup-simplify]: Simplify (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0)) into (/ 1 (+ (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) 1.0))
4.288 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
4.289 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
4.289 * [backup-simplify]: Simplify (+ 0 0) into 0
4.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.289 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
4.290 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
4.290 * [backup-simplify]: Simplify (+ 0 0) into 0
4.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.291 * [backup-simplify]: Simplify 0 into 0
4.291 * [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
4.292 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
4.292 * [backup-simplify]: Simplify (+ 0 0) into 0
4.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.294 * [backup-simplify]: Simplify 0 into 0
4.294 * [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
4.295 * [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
4.295 * [backup-simplify]: Simplify (+ 0 0) into 0
4.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.296 * [backup-simplify]: Simplify 0 into 0
4.297 * [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
4.298 * [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
4.298 * [backup-simplify]: Simplify (+ 0 0) into 0
4.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.300 * [backup-simplify]: Simplify 0 into 0
4.300 * [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
4.302 * [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
4.302 * [backup-simplify]: Simplify (+ 0 0) into 0
4.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ (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
4.304 * [backup-simplify]: Simplify 0 into 0
4.304 * [backup-simplify]: Simplify (/ 1 (+ (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) 1.0)) into (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))
4.304 * * * [progress]: simplifying candidates
4.307 * [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))
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))))
  (+ (- (log (+ 1.0 (* (tan x) (tan x))))) (log (- 1.0 (* (tan x) (tan x)))))
  (+ (- 0 (log (+ 1.0 (* (tan x) (tan x))))) (log (- 1.0 (* (tan x) (tan x)))))
  (+ (- (log 1) (log (+ 1.0 (* (tan x) (tan x))))) (log (- 1.0 (* (tan x) (tan x)))))
  (+ (log (/ 1 (+ 1.0 (* (tan x) (tan x))))) (log (- 1.0 (* (tan x) (tan x)))))
  (log (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))))
  (exp (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))))
  (* (/ (* (* 1 1) 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))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))))
  (* (* (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 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 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))))) (cbrt (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))))))
  (cbrt (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))))
  (* (* (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))))) (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))))
  (sqrt (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))))
  (sqrt (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))))
  (* 1 (- (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 (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))))
  (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
  (* (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))))
  (* (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))))
  (* (/ (sqrt 1) (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))))
  (* (/ (sqrt 1) (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))))
  (* (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))))
  (* (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))))
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) 1.0)
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- (* (tan x) (tan x))))
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) 1.0)
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- (* (tan x) (tan x))))
  (* 1.0 (/ 1 (+ 1.0 (* (tan x) (tan x)))))
  (* (- (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))
  (* 1.0 (/ 1 (+ 1.0 (* (tan x) (tan x)))))
  (* (- (* (tan x) (tan x))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))))
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))))
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) 1)
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (+ (sqrt 1.0) (tan x)))
  (* (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))))
  (* (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))))
  (* (/ (cbrt 1) (cbrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))))
  (* (/ (cbrt 1) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))))
  (* (/ (cbrt 1) (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))))
  (* (/ (sqrt 1) (cbrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))))
  (* (/ (sqrt 1) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))))
  (* (/ (sqrt 1) (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))))
  (* (/ 1 (cbrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))))
  (* (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))))
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))))
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))))
  (* (/ 1 (+ 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))))) (- 1.0 (* (tan x) (tan x))))
  (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))))
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)))
  (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))))
  (* 1 (- 1.0 (* (tan x) (tan x))))
  (- 1)
  (- (log (+ 1.0 (* (tan x) (tan x)))))
  (- 0 (log (+ 1.0 (* (tan x) (tan x)))))
  (- (log 1) (log (+ 1.0 (* (tan x) (tan x)))))
  (log (/ 1 (+ 1.0 (* (tan x) (tan x)))))
  (exp (/ 1 (+ 1.0 (* (tan x) (tan x)))))
  (/ (* (* 1 1) 1) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))))
  (* (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))))
  (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))
  (* (* (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (/ 1 (+ 1.0 (* (tan x) (tan x)))))
  (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))
  (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))
  (- 1)
  (- (+ 1.0 (* (tan x) (tan x))))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (cbrt 1) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (cbrt 1) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (+ 1.0 (* (tan x) (tan x))))
  (/ (sqrt 1) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (sqrt 1) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (sqrt 1) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (sqrt 1) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (+ 1.0 (* (tan x) (tan x))))
  (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ 1 (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 1)
  (/ 1 (+ 1.0 (* (tan x) (tan x))))
  (/ 1 (+ 1.0 (* (tan x) (tan x))))
  (/ (+ 1.0 (* (tan x) (tan x))) 1)
  (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 1)
  (/ (+ 1.0 (* (tan x) (tan x))) (cbrt 1))
  (/ (+ 1.0 (* (tan x) (tan x))) (sqrt 1))
  (/ (+ 1.0 (* (tan x) (tan x))) 1)
  (/ 1 (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3)))
  (/ 1 (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (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))
  (- (+ (* 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))
  (- (+ (* 0.33333333333333337 (pow x 4)) 1.0) (* 1.0 (pow x 2)))
  (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))
  (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))
4.310 * * [simplify]: Extracting # 0 : cost  0
4.310 * * [simplify]: Extracting # 1 : cost  0
4.310 * * [simplify]: Extracting # 2 : cost  0
4.310 * * [simplify]: Extracting # 3 : cost  0
4.310 * * [simplify]: Extracting # 4 : cost  0
4.311 * * [simplify]: Extracting # 5 : cost  0
4.311 * * [simplify]: Extracting # 6 : cost  0
4.311 * * [simplify]: Extracting # 7 : cost  0
4.311 * * [simplify]: iteration  0 :  176  enodes  (cost  2160 )
4.387 * * [simplify]: Extracting # 0 : cost  0
4.387 * * [simplify]: Extracting # 1 : cost  0
4.388 * * [simplify]: Extracting # 2 : cost  0
4.388 * * [simplify]: Extracting # 3 : cost  0
4.389 * * [simplify]: Extracting # 4 : cost  0
4.389 * * [simplify]: Extracting # 5 : cost  0
4.390 * * [simplify]: iteration  1 :  474  enodes  (cost  1973 )
4.786 * * [simplify]: Extracting # 0 : cost  0
4.793 * * [simplify]: Extracting # 1 : cost  0
4.802 * * [simplify]: Extracting # 2 : cost  0
4.809 * * [simplify]: Extracting # 3 : cost  0
4.813 * * [simplify]: Extracting # 4 : cost  0
4.817 * * [simplify]: iteration  2 :  3125  enodes  (cost  1692 )
7.031 * * [simplify]: Extracting # 0 : cost  0
7.057 * * [simplify]: Extracting # 1 : cost  0
7.065 * * [simplify]: Extracting # 2 : cost  0
7.072 * * [simplify]: Extracting # 3 : cost  0
7.085 * * [simplify]: Extracting # 4 : cost  0
7.093 * * [simplify]: iteration done:  5001  enodes  (cost  1666 )
7.094 * [simplify]: Simplified to:
  2
  (* (tan x) (tan x))
  2
  (* 2 (log (tan x)))
  (* 2 (log (tan x)))
  (exp (* (tan x) (tan x)))
  (pow (tan x) 6)
  (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x))))
  (cbrt (* (tan x) (tan x)))
  (pow (tan x) 6)
  (fabs (tan x))
  (fabs (tan x))
  (pow (sin x) 2)
  (pow (cos x) 2)
  (* (tan x) (cbrt (tan x)))
  (* (cbrt (tan x)) (cbrt (tan x)))
  (tan x)
  (tan x)
  1
  (* (tan x) (tan x))
  (tan x)
  (tan x)
  2
  (* (tan x) (* (cbrt (tan x)) (cbrt (tan x))))
  (pow (sqrt (tan x)) 3)
  (tan x)
  (* (tan x) (cbrt (tan x)))
  (pow (sqrt (tan x)) 3)
  (* (tan x) (tan x))
  (* (sin x) (tan x))
  (* (sin x) (tan x))
  2
  (* (tan x) (tan x))
  2
  (* 2 (log (tan x)))
  (* 2 (log (tan x)))
  (exp (* (tan x) (tan x)))
  (pow (tan x) 6)
  (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x))))
  (cbrt (* (tan x) (tan x)))
  (pow (tan x) 6)
  (fabs (tan x))
  (fabs (tan x))
  (pow (sin x) 2)
  (pow (cos x) 2)
  (* (tan x) (cbrt (tan x)))
  (* (cbrt (tan x)) (cbrt (tan x)))
  (tan x)
  (tan x)
  1
  (* (tan x) (tan x))
  (tan x)
  (tan x)
  2
  (* (tan x) (* (cbrt (tan x)) (cbrt (tan x))))
  (pow (sqrt (tan x)) 3)
  (tan x)
  (* (tan x) (cbrt (tan x)))
  (pow (sqrt (tan x)) 3)
  (* (tan x) (tan x))
  (* (sin x) (tan x))
  (* (sin x) (tan x))
  (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0))
  (log (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))
  (log (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))
  (log (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))
  (log (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))
  (log (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))
  (exp (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))
  (pow (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)) 3)
  (pow (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)) 3)
  (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0))))
  (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))
  (pow (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)) 3)
  (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))
  (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))
  (- (pow 1.0 3) (pow (tan x) 6))
  (* (+ (* 1.0 1.0) (* (tan x) (+ (* 1.0 (tan x)) (pow (tan x) 3)))) (+ (* (tan x) (tan x)) 1.0))
  (- (* 1.0 1.0) (pow (tan x) (+ 3 1)))
  (* (+ (* (tan x) (tan x)) 1.0) (+ (* (tan x) (tan x)) 1.0))
  (* (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))))
  (* (sqrt (/ 1 (+ 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)))))
  (/ (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)))))
  (/ 1.0 (+ (* (tan x) (tan x)) 1.0))
  (/ (* (- (tan x)) (tan x)) (+ (* (tan x) (tan x)) 1.0))
  (/ 1.0 (+ (* (tan x) (tan x)) 1.0))
  (/ (* (- (tan x)) (tan x)) (+ (* (tan x) (tan x)) 1.0))
  (/ 1.0 (+ (* (tan x) (tan x)) 1.0))
  (/ (* (- (tan x)) (tan x)) (+ (* (tan x) (tan x)) 1.0))
  (/ 1.0 (+ (* (tan x) (tan x)) 1.0))
  (/ (* (- (tan x)) (tan x)) (+ (* (tan x) (tan x)) 1.0))
  (* (cbrt (- 1.0 (* (tan x) (tan x)))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ (* (tan x) (tan x)) 1.0)))
  (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ (* (tan x) (tan x)) 1.0))
  (/ 1 (+ (* (tan x) (tan x)) 1.0))
  (/ (+ (tan x) (sqrt 1.0)) (+ (* (tan x) (tan x)) 1.0))
  (* (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))))
  (* (- 1.0 (* (tan x) (tan x))) (sqrt (/ 1 (+ 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))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0))
  (/ (- 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))) (+ (* (tan x) (tan x)) 1.0))
  (/ (- 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))) (+ (* (tan x) (tan x)) 1.0))
  (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0))
  (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0))
  (* (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (- (pow (tan x) 3) (* 1.0 (tan x)))) (* 1.0 1.0)))
  (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))))
  (/ (- (pow 1.0 3) (pow (tan x) 6)) (+ (* (tan x) (tan x)) 1.0))
  (- 1.0 (* (tan x) (tan x)))
  (- 1.0 (* (tan x) (tan x)))
  -1
  (- (log (+ (* (tan x) (tan x)) 1.0)))
  (- (log (+ (* (tan x) (tan x)) 1.0)))
  (- (log (+ (* (tan x) (tan x)) 1.0)))
  (- (log (+ (* (tan x) (tan x)) 1.0)))
  (exp (/ 1 (+ (* (tan x) (tan x)) 1.0)))
  (pow (/ 1 (+ (* (tan x) (tan x)) 1.0)) 3)
  (* (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x))))))
  (cbrt (/ 1 (+ 1.0 (* (tan x) (tan x)))))
  (pow (/ 1 (+ (* (tan x) (tan x)) 1.0)) 3)
  (sqrt (/ 1 (+ (* (tan x) (tan x)) 1.0)))
  (sqrt (/ 1 (+ (* (tan x) (tan x)) 1.0)))
  -1
  (- (+ (* (tan x) (tan x)) 1.0))
  (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ 1 (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  1
  (/ 1 (+ (* (tan x) (tan x)) 1.0))
  (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ 1 (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  1
  (/ 1 (+ (* (tan x) (tan x)) 1.0))
  (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ 1 (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  1
  (/ 1 (+ (* (tan x) (tan x)) 1.0))
  (/ 1 (+ (* (tan x) (tan x)) 1.0))
  (+ (* (tan x) (tan x)) 1.0)
  (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  1
  (+ (* (tan x) (tan x)) 1.0)
  (+ (* (tan x) (tan x)) 1.0)
  (+ (* (tan x) (tan x)) 1.0)
  (/ 1 (+ (pow (tan x) 6) (pow 1.0 3)))
  (/ 1 (- (* 1.0 1.0) (pow (tan x) (+ 3 1))))
  (+ (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))
  (- (+ (* 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))
  (- (+ (* 0.33333333333333337 (pow x 4)) 1.0) (* 1.0 (pow x 2)))
  (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))
  (/ 1 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0))
7.095 * * * [progress]: adding candidates to table
7.476 * * [progress]: iteration 4 / 4
7.476 * * * [progress]: picking best candidate
7.512 * * * * [pick]: Picked  #<alt (λ (x) (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))>
7.512 * * * [progress]: localizing error
7.528 * * * [progress]: generating rewritten candidates
7.528 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
7.554 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
7.576 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
7.635 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
7.659 * * * [progress]: generating series expansions
7.659 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
7.660 * [backup-simplify]: Simplify (* (tan x) (tan x)) into (pow (tan x) 2)
7.660 * [approximate]: Taking taylor expansion of (pow (tan x) 2) in (x) around 0
7.660 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
7.660 * [taylor]: Taking taylor expansion of (tan x) in x
7.660 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.660 * [taylor]: Taking taylor expansion of (sin x) in x
7.660 * [taylor]: Taking taylor expansion of x in x
7.660 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify 1 into 1
7.660 * [taylor]: Taking taylor expansion of (cos x) in x
7.660 * [taylor]: Taking taylor expansion of x in x
7.660 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify 1 into 1
7.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.662 * [backup-simplify]: Simplify (/ 1 1) into 1
7.662 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
7.662 * [taylor]: Taking taylor expansion of (tan x) in x
7.662 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.662 * [taylor]: Taking taylor expansion of (sin x) in x
7.662 * [taylor]: Taking taylor expansion of x in x
7.662 * [backup-simplify]: Simplify 0 into 0
7.662 * [backup-simplify]: Simplify 1 into 1
7.662 * [taylor]: Taking taylor expansion of (cos x) in x
7.662 * [taylor]: Taking taylor expansion of x in x
7.662 * [backup-simplify]: Simplify 0 into 0
7.662 * [backup-simplify]: Simplify 1 into 1
7.663 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.663 * [backup-simplify]: Simplify (/ 1 1) into 1
7.664 * [backup-simplify]: Simplify (* 1 1) into 1
7.664 * [backup-simplify]: Simplify 1 into 1
7.664 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.665 * [backup-simplify]: Simplify (+ 0) into 0
7.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.666 * [backup-simplify]: Simplify 0 into 0
7.668 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.669 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.670 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
7.671 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
7.671 * [backup-simplify]: Simplify 2/3 into 2/3
7.673 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.674 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
7.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0
7.677 * [backup-simplify]: Simplify 0 into 0
7.679 * [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
7.681 * [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
7.682 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
7.683 * [backup-simplify]: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45
7.683 * [backup-simplify]: Simplify 17/45 into 17/45
7.683 * [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))))
7.683 * [backup-simplify]: Simplify (* (tan (/ 1 x)) (tan (/ 1 x))) into (pow (tan (/ 1 x)) 2)
7.683 * [approximate]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in (x) around 0
7.683 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
7.683 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.683 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.683 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.683 * [taylor]: Taking taylor expansion of x in x
7.683 * [backup-simplify]: Simplify 0 into 0
7.683 * [backup-simplify]: Simplify 1 into 1
7.684 * [backup-simplify]: Simplify (/ 1 1) into 1
7.684 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.684 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.684 * [taylor]: Taking taylor expansion of x in x
7.684 * [backup-simplify]: Simplify 0 into 0
7.684 * [backup-simplify]: Simplify 1 into 1
7.684 * [backup-simplify]: Simplify (/ 1 1) into 1
7.684 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.684 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.684 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
7.684 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.684 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.684 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.684 * [taylor]: Taking taylor expansion of x in x
7.684 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify 1 into 1
7.685 * [backup-simplify]: Simplify (/ 1 1) into 1
7.685 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.685 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.685 * [taylor]: Taking taylor expansion of x in x
7.685 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify 1 into 1
7.685 * [backup-simplify]: Simplify (/ 1 1) into 1
7.685 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.685 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.686 * [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))
7.686 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
7.686 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
7.686 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
7.686 * [backup-simplify]: Simplify 0 into 0
7.687 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.687 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
7.687 * [backup-simplify]: Simplify 0 into 0
7.687 * [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
7.688 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
7.688 * [backup-simplify]: Simplify 0 into 0
7.688 * [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
7.689 * [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
7.689 * [backup-simplify]: Simplify 0 into 0
7.690 * [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
7.691 * [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
7.691 * [backup-simplify]: Simplify 0 into 0
7.691 * [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
7.693 * [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
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
7.693 * [backup-simplify]: Simplify (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) into (pow (tan (/ -1 x)) 2)
7.693 * [approximate]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in (x) around 0
7.693 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
7.693 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.693 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.693 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.693 * [taylor]: Taking taylor expansion of -1 in x
7.693 * [backup-simplify]: Simplify -1 into -1
7.693 * [taylor]: Taking taylor expansion of x in x
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify 1 into 1
7.694 * [backup-simplify]: Simplify (/ -1 1) into -1
7.694 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.694 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.694 * [taylor]: Taking taylor expansion of -1 in x
7.694 * [backup-simplify]: Simplify -1 into -1
7.694 * [taylor]: Taking taylor expansion of x in x
7.694 * [backup-simplify]: Simplify 0 into 0
7.694 * [backup-simplify]: Simplify 1 into 1
7.694 * [backup-simplify]: Simplify (/ -1 1) into -1
7.694 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.694 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.694 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
7.694 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.694 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.694 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.694 * [taylor]: Taking taylor expansion of -1 in x
7.694 * [backup-simplify]: Simplify -1 into -1
7.694 * [taylor]: Taking taylor expansion of x in x
7.694 * [backup-simplify]: Simplify 0 into 0
7.694 * [backup-simplify]: Simplify 1 into 1
7.695 * [backup-simplify]: Simplify (/ -1 1) into -1
7.695 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.695 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.695 * [taylor]: Taking taylor expansion of -1 in x
7.695 * [backup-simplify]: Simplify -1 into -1
7.695 * [taylor]: Taking taylor expansion of x in x
7.695 * [backup-simplify]: Simplify 0 into 0
7.695 * [backup-simplify]: Simplify 1 into 1
7.695 * [backup-simplify]: Simplify (/ -1 1) into -1
7.695 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.695 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.696 * [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))
7.696 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
7.696 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
7.696 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
7.696 * [backup-simplify]: Simplify 0 into 0
7.696 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.697 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [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
7.698 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
7.698 * [backup-simplify]: Simplify 0 into 0
7.698 * [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
7.699 * [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
7.699 * [backup-simplify]: Simplify 0 into 0
7.700 * [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
7.701 * [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
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [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
7.702 * [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
7.702 * [backup-simplify]: Simplify 0 into 0
7.703 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2))
7.703 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
7.703 * [backup-simplify]: Simplify (* (sin x) (tan x)) into (* (tan x) (sin x))
7.703 * [approximate]: Taking taylor expansion of (* (tan x) (sin x)) in (x) around 0
7.703 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x
7.703 * [taylor]: Taking taylor expansion of (tan x) in x
7.703 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.703 * [taylor]: Taking taylor expansion of (sin x) in x
7.703 * [taylor]: Taking taylor expansion of x in x
7.703 * [backup-simplify]: Simplify 0 into 0
7.703 * [backup-simplify]: Simplify 1 into 1
7.703 * [taylor]: Taking taylor expansion of (cos x) in x
7.703 * [taylor]: Taking taylor expansion of x in x
7.703 * [backup-simplify]: Simplify 0 into 0
7.703 * [backup-simplify]: Simplify 1 into 1
7.703 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.704 * [backup-simplify]: Simplify (/ 1 1) into 1
7.704 * [taylor]: Taking taylor expansion of (sin x) in x
7.704 * [taylor]: Taking taylor expansion of x in x
7.704 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify 1 into 1
7.704 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x
7.704 * [taylor]: Taking taylor expansion of (tan x) in x
7.704 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.704 * [taylor]: Taking taylor expansion of (sin x) in x
7.704 * [taylor]: Taking taylor expansion of x in x
7.704 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify 1 into 1
7.704 * [taylor]: Taking taylor expansion of (cos x) in x
7.704 * [taylor]: Taking taylor expansion of x in x
7.704 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify 1 into 1
7.709 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.709 * [backup-simplify]: Simplify (/ 1 1) into 1
7.709 * [taylor]: Taking taylor expansion of (sin x) in x
7.709 * [taylor]: Taking taylor expansion of x in x
7.709 * [backup-simplify]: Simplify 0 into 0
7.710 * [backup-simplify]: Simplify 1 into 1
7.710 * [backup-simplify]: Simplify (* 1 0) into 0
7.710 * [backup-simplify]: Simplify 0 into 0
7.711 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.712 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.712 * [backup-simplify]: Simplify (+ 0) into 0
7.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.714 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
7.714 * [backup-simplify]: Simplify 1 into 1
7.715 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.719 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
7.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 1/3 0))) into 0
7.720 * [backup-simplify]: Simplify 0 into 0
7.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.724 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
7.728 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (+ (* 1/3 1) (* 0 0)))) into 1/6
7.728 * [backup-simplify]: Simplify 1/6 into 1/6
7.729 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.733 * [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
7.735 * [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
7.736 * [backup-simplify]: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/15
7.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* 1/3 0) (+ (* 0 1) (* 2/15 0))))) into 0
7.737 * [backup-simplify]: Simplify 0 into 0
7.739 * [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
7.741 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.743 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ -1/2 1)) (* 2/15 (/ 0 1)))) into 0
7.745 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* 1/3 -1/6) (+ (* 0 0) (+ (* 2/15 1) (* 0 0)))))) into 31/360
7.745 * [backup-simplify]: Simplify 31/360 into 31/360
7.746 * [backup-simplify]: Simplify (+ (* 31/360 (pow x 6)) (+ (* 1/6 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 31/360 (pow x 6)) (* 1/6 (pow x 4))))
7.746 * [backup-simplify]: Simplify (* (sin (/ 1 x)) (tan (/ 1 x))) into (* (tan (/ 1 x)) (sin (/ 1 x)))
7.746 * [approximate]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in (x) around 0
7.746 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x
7.746 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.746 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.746 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.746 * [taylor]: Taking taylor expansion of x in x
7.746 * [backup-simplify]: Simplify 0 into 0
7.746 * [backup-simplify]: Simplify 1 into 1
7.746 * [backup-simplify]: Simplify (/ 1 1) into 1
7.746 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.746 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.746 * [taylor]: Taking taylor expansion of x in x
7.746 * [backup-simplify]: Simplify 0 into 0
7.746 * [backup-simplify]: Simplify 1 into 1
7.747 * [backup-simplify]: Simplify (/ 1 1) into 1
7.747 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.747 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.747 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.747 * [taylor]: Taking taylor expansion of x in x
7.747 * [backup-simplify]: Simplify 0 into 0
7.747 * [backup-simplify]: Simplify 1 into 1
7.747 * [backup-simplify]: Simplify (/ 1 1) into 1
7.747 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.747 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x
7.747 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.747 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.747 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.747 * [taylor]: Taking taylor expansion of x in x
7.747 * [backup-simplify]: Simplify 0 into 0
7.747 * [backup-simplify]: Simplify 1 into 1
7.748 * [backup-simplify]: Simplify (/ 1 1) into 1
7.748 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.748 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.748 * [taylor]: Taking taylor expansion of x in x
7.748 * [backup-simplify]: Simplify 0 into 0
7.748 * [backup-simplify]: Simplify 1 into 1
7.748 * [backup-simplify]: Simplify (/ 1 1) into 1
7.748 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.748 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.748 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.748 * [taylor]: Taking taylor expansion of x in x
7.748 * [backup-simplify]: Simplify 0 into 0
7.748 * [backup-simplify]: Simplify 1 into 1
7.749 * [backup-simplify]: Simplify (/ 1 1) into 1
7.749 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.749 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))
7.749 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))
7.749 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
7.749 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (sin (/ 1 x)))) into 0
7.749 * [backup-simplify]: Simplify 0 into 0
7.750 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.750 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
7.750 * [backup-simplify]: Simplify 0 into 0
7.750 * [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
7.751 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
7.751 * [backup-simplify]: Simplify 0 into 0
7.751 * [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
7.752 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
7.752 * [backup-simplify]: Simplify 0 into 0
7.753 * [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
7.754 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
7.754 * [backup-simplify]: Simplify 0 into 0
7.754 * [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
7.755 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
7.755 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x)))) into (/ (pow (sin x) 2) (cos x))
7.756 * [backup-simplify]: Simplify (* (sin (/ 1 (- x))) (tan (/ 1 (- x)))) into (* (tan (/ -1 x)) (sin (/ -1 x)))
7.756 * [approximate]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in (x) around 0
7.756 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x
7.756 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.756 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.756 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.756 * [taylor]: Taking taylor expansion of -1 in x
7.756 * [backup-simplify]: Simplify -1 into -1
7.756 * [taylor]: Taking taylor expansion of x in x
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 1 into 1
7.756 * [backup-simplify]: Simplify (/ -1 1) into -1
7.756 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.756 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.756 * [taylor]: Taking taylor expansion of -1 in x
7.756 * [backup-simplify]: Simplify -1 into -1
7.756 * [taylor]: Taking taylor expansion of x in x
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 1 into 1
7.757 * [backup-simplify]: Simplify (/ -1 1) into -1
7.757 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.757 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.757 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.757 * [taylor]: Taking taylor expansion of -1 in x
7.757 * [backup-simplify]: Simplify -1 into -1
7.757 * [taylor]: Taking taylor expansion of x in x
7.757 * [backup-simplify]: Simplify 0 into 0
7.757 * [backup-simplify]: Simplify 1 into 1
7.757 * [backup-simplify]: Simplify (/ -1 1) into -1
7.757 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.757 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x
7.757 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.757 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.757 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.758 * [taylor]: Taking taylor expansion of -1 in x
7.758 * [backup-simplify]: Simplify -1 into -1
7.758 * [taylor]: Taking taylor expansion of x in x
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [backup-simplify]: Simplify 1 into 1
7.758 * [backup-simplify]: Simplify (/ -1 1) into -1
7.758 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.758 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.758 * [taylor]: Taking taylor expansion of -1 in x
7.758 * [backup-simplify]: Simplify -1 into -1
7.758 * [taylor]: Taking taylor expansion of x in x
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [backup-simplify]: Simplify 1 into 1
7.758 * [backup-simplify]: Simplify (/ -1 1) into -1
7.758 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.758 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.758 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.759 * [taylor]: Taking taylor expansion of -1 in x
7.759 * [backup-simplify]: Simplify -1 into -1
7.759 * [taylor]: Taking taylor expansion of x in x
7.759 * [backup-simplify]: Simplify 0 into 0
7.759 * [backup-simplify]: Simplify 1 into 1
7.759 * [backup-simplify]: Simplify (/ -1 1) into -1
7.759 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.759 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))
7.759 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))
7.759 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
7.760 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (sin (/ -1 x)))) into 0
7.760 * [backup-simplify]: Simplify 0 into 0
7.760 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.760 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
7.760 * [backup-simplify]: Simplify 0 into 0
7.761 * [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
7.761 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
7.761 * [backup-simplify]: Simplify 0 into 0
7.762 * [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
7.763 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
7.763 * [backup-simplify]: Simplify 0 into 0
7.764 * [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
7.766 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
7.766 * [backup-simplify]: Simplify 0 into 0
7.767 * [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
7.769 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
7.769 * [backup-simplify]: Simplify 0 into 0
7.770 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x))))) into (/ (pow (sin x) 2) (cos x))
7.770 * * * * [progress]: [ 3 / 4 ] generating series at (2)
7.770 * [backup-simplify]: Simplify (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))) into (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ (pow (tan x) 2) 1.0))
7.770 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ (pow (tan x) 2) 1.0)) in (x) around 0
7.770 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ (pow (tan x) 2) 1.0)) in x
7.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in x
7.770 * [taylor]: Taking taylor expansion of 1.0 in x
7.770 * [backup-simplify]: Simplify 1.0 into 1.0
7.770 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x
7.770 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x
7.770 * [taylor]: Taking taylor expansion of (tan x) in x
7.771 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.771 * [taylor]: Taking taylor expansion of (sin x) in x
7.771 * [taylor]: Taking taylor expansion of x in x
7.771 * [backup-simplify]: Simplify 0 into 0
7.771 * [backup-simplify]: Simplify 1 into 1
7.771 * [taylor]: Taking taylor expansion of (cos x) in x
7.771 * [taylor]: Taking taylor expansion of x in x
7.771 * [backup-simplify]: Simplify 0 into 0
7.771 * [backup-simplify]: Simplify 1 into 1
7.772 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.772 * [backup-simplify]: Simplify (/ 1 1) into 1
7.772 * [taylor]: Taking taylor expansion of (sin x) in x
7.772 * [taylor]: Taking taylor expansion of x in x
7.772 * [backup-simplify]: Simplify 0 into 0
7.772 * [backup-simplify]: Simplify 1 into 1
7.772 * [taylor]: Taking taylor expansion of (cos x) in x
7.772 * [taylor]: Taking taylor expansion of x in x
7.772 * [backup-simplify]: Simplify 0 into 0
7.772 * [backup-simplify]: Simplify 1 into 1
7.773 * [backup-simplify]: Simplify (* 1 0) into 0
7.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.774 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.775 * [backup-simplify]: Simplify (+ 0) into 0
7.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.776 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
7.776 * [backup-simplify]: Simplify (/ 1 1) into 1
7.776 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
7.776 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
7.776 * [taylor]: Taking taylor expansion of (tan x) in x
7.776 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.776 * [taylor]: Taking taylor expansion of (sin x) in x
7.777 * [taylor]: Taking taylor expansion of x in x
7.777 * [backup-simplify]: Simplify 0 into 0
7.777 * [backup-simplify]: Simplify 1 into 1
7.777 * [taylor]: Taking taylor expansion of (cos x) in x
7.777 * [taylor]: Taking taylor expansion of x in x
7.777 * [backup-simplify]: Simplify 0 into 0
7.777 * [backup-simplify]: Simplify 1 into 1
7.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.778 * [backup-simplify]: Simplify (/ 1 1) into 1
7.778 * [taylor]: Taking taylor expansion of 1.0 in x
7.778 * [backup-simplify]: Simplify 1.0 into 1.0
7.778 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.778 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.778 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
7.779 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ (pow (tan x) 2) 1.0)) in x
7.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in x
7.779 * [taylor]: Taking taylor expansion of 1.0 in x
7.779 * [backup-simplify]: Simplify 1.0 into 1.0
7.779 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x
7.779 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x
7.779 * [taylor]: Taking taylor expansion of (tan x) in x
7.779 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.779 * [taylor]: Taking taylor expansion of (sin x) in x
7.779 * [taylor]: Taking taylor expansion of x in x
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 1 into 1
7.779 * [taylor]: Taking taylor expansion of (cos x) in x
7.779 * [taylor]: Taking taylor expansion of x in x
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 1 into 1
7.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.780 * [backup-simplify]: Simplify (/ 1 1) into 1
7.780 * [taylor]: Taking taylor expansion of (sin x) in x
7.780 * [taylor]: Taking taylor expansion of x in x
7.780 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify 1 into 1
7.780 * [taylor]: Taking taylor expansion of (cos x) in x
7.780 * [taylor]: Taking taylor expansion of x in x
7.780 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify 1 into 1
7.780 * [backup-simplify]: Simplify (* 1 0) into 0
7.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.781 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.781 * [backup-simplify]: Simplify (+ 0) into 0
7.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.782 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
7.782 * [backup-simplify]: Simplify (/ 1 1) into 1
7.782 * [taylor]: Taking taylor expansion of (+ (pow (tan x) 2) 1.0) in x
7.782 * [taylor]: Taking taylor expansion of (pow (tan x) 2) in x
7.782 * [taylor]: Taking taylor expansion of (tan x) in x
7.783 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.783 * [taylor]: Taking taylor expansion of (sin x) in x
7.783 * [taylor]: Taking taylor expansion of x in x
7.783 * [backup-simplify]: Simplify 0 into 0
7.783 * [backup-simplify]: Simplify 1 into 1
7.783 * [taylor]: Taking taylor expansion of (cos x) in x
7.783 * [taylor]: Taking taylor expansion of x in x
7.783 * [backup-simplify]: Simplify 0 into 0
7.783 * [backup-simplify]: Simplify 1 into 1
7.783 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.783 * [backup-simplify]: Simplify (/ 1 1) into 1
7.783 * [taylor]: Taking taylor expansion of 1.0 in x
7.783 * [backup-simplify]: Simplify 1.0 into 1.0
7.784 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.784 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.784 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0
7.784 * [backup-simplify]: Simplify 1.0 into 1.0
7.785 * [backup-simplify]: Simplify (+ 0 0) into 0
7.785 * [backup-simplify]: Simplify (+ 0 0) into 0
7.785 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0
7.785 * [backup-simplify]: Simplify 0 into 0
7.786 * [backup-simplify]: Simplify (- 1) into -1
7.786 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.786 * [backup-simplify]: Simplify (* 1 1) into 1
7.787 * [backup-simplify]: Simplify (+ 1 0) into 1
7.789 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 2.0)
7.789 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.790 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.791 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.792 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.792 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
7.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 1/3 0))) into 0
7.793 * [backup-simplify]: Simplify (+ 0) into 0
7.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.794 * [backup-simplify]: Simplify (- 0) into 0
7.794 * [backup-simplify]: Simplify (+ 0 0) into 0
7.795 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.795 * [backup-simplify]: Simplify (+ 0) into 0
7.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.796 * [backup-simplify]: Simplify (+ 0 0) into 0
7.797 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* (- 2.0) (/ 0 1.0)))) into 0
7.797 * [backup-simplify]: Simplify 0 into 0
7.798 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.799 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.799 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
7.801 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (+ (* 1/3 1) (* 0 0)))) into 1/6
7.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.802 * [backup-simplify]: Simplify (- (/ 1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/3
7.802 * [backup-simplify]: Simplify (- 2/3) into -2/3
7.803 * [backup-simplify]: Simplify (+ 0 -2/3) into -2/3
7.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.805 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
7.806 * [backup-simplify]: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3
7.807 * [backup-simplify]: Simplify (+ 2/3 0) into 2/3
7.815 * [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
7.815 * [backup-simplify]: Simplify 0.6666666666666669 into 0.6666666666666669
7.816 * [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)))
7.817 * [backup-simplify]: Simplify (/ (- 1.0 (/ (* (sin (/ 1 x)) (tan (/ 1 x))) (cos (/ 1 x)))) (+ 1.0 (* (tan (/ 1 x)) (tan (/ 1 x))))) into (/ (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) (+ (pow (tan (/ 1 x)) 2) 1.0))
7.817 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0
7.817 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
7.817 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x
7.817 * [taylor]: Taking taylor expansion of 1.0 in x
7.817 * [backup-simplify]: Simplify 1.0 into 1.0
7.817 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x
7.817 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x
7.817 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.817 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.817 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.817 * [taylor]: Taking taylor expansion of x in x
7.817 * [backup-simplify]: Simplify 0 into 0
7.817 * [backup-simplify]: Simplify 1 into 1
7.818 * [backup-simplify]: Simplify (/ 1 1) into 1
7.818 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.818 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.818 * [taylor]: Taking taylor expansion of x in x
7.818 * [backup-simplify]: Simplify 0 into 0
7.818 * [backup-simplify]: Simplify 1 into 1
7.819 * [backup-simplify]: Simplify (/ 1 1) into 1
7.819 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.819 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.819 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.819 * [taylor]: Taking taylor expansion of x in x
7.819 * [backup-simplify]: Simplify 0 into 0
7.819 * [backup-simplify]: Simplify 1 into 1
7.819 * [backup-simplify]: Simplify (/ 1 1) into 1
7.820 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.820 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.820 * [taylor]: Taking taylor expansion of x in x
7.820 * [backup-simplify]: Simplify 0 into 0
7.820 * [backup-simplify]: Simplify 1 into 1
7.820 * [backup-simplify]: Simplify (/ 1 1) into 1
7.820 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.821 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))
7.821 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
7.821 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
7.821 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
7.821 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.821 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.821 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.821 * [taylor]: Taking taylor expansion of x in x
7.821 * [backup-simplify]: Simplify 0 into 0
7.821 * [backup-simplify]: Simplify 1 into 1
7.822 * [backup-simplify]: Simplify (/ 1 1) into 1
7.822 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.822 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.822 * [taylor]: Taking taylor expansion of x in x
7.822 * [backup-simplify]: Simplify 0 into 0
7.822 * [backup-simplify]: Simplify 1 into 1
7.823 * [backup-simplify]: Simplify (/ 1 1) into 1
7.823 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.823 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.823 * [taylor]: Taking taylor expansion of 1.0 in x
7.823 * [backup-simplify]: Simplify 1.0 into 1.0
7.823 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
7.824 * [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)))
7.824 * [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))
7.825 * [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)))
7.826 * [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))
7.826 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) (+ (pow (tan (/ 1 x)) 2) 1.0)) in x
7.826 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x
7.826 * [taylor]: Taking taylor expansion of 1.0 in x
7.826 * [backup-simplify]: Simplify 1.0 into 1.0
7.826 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x
7.826 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x
7.826 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.826 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.826 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.826 * [taylor]: Taking taylor expansion of x in x
7.826 * [backup-simplify]: Simplify 0 into 0
7.826 * [backup-simplify]: Simplify 1 into 1
7.827 * [backup-simplify]: Simplify (/ 1 1) into 1
7.827 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.827 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.827 * [taylor]: Taking taylor expansion of x in x
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [backup-simplify]: Simplify (/ 1 1) into 1
7.827 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.828 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.828 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.828 * [taylor]: Taking taylor expansion of x in x
7.828 * [backup-simplify]: Simplify 0 into 0
7.828 * [backup-simplify]: Simplify 1 into 1
7.828 * [backup-simplify]: Simplify (/ 1 1) into 1
7.828 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.828 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.828 * [taylor]: Taking taylor expansion of x in x
7.828 * [backup-simplify]: Simplify 0 into 0
7.828 * [backup-simplify]: Simplify 1 into 1
7.829 * [backup-simplify]: Simplify (/ 1 1) into 1
7.829 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.829 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))
7.830 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
7.830 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ 1 x)) 2) 1.0) in x
7.830 * [taylor]: Taking taylor expansion of (pow (tan (/ 1 x)) 2) in x
7.830 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.830 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.830 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.830 * [taylor]: Taking taylor expansion of x in x
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 1 into 1
7.835 * [backup-simplify]: Simplify (/ 1 1) into 1
7.835 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.835 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.835 * [taylor]: Taking taylor expansion of x in x
7.835 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify 1 into 1
7.836 * [backup-simplify]: Simplify (/ 1 1) into 1
7.836 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.836 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.836 * [taylor]: Taking taylor expansion of 1.0 in x
7.836 * [backup-simplify]: Simplify 1.0 into 1.0
7.837 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
7.837 * [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)))
7.838 * [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))
7.838 * [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)))
7.839 * [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))
7.840 * [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))))
7.840 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
7.841 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (sin (/ 1 x)))) into 0
7.841 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))))) into 0
7.842 * [backup-simplify]: Simplify (- 0) into 0
7.842 * [backup-simplify]: Simplify (+ 0 0) into 0
7.843 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
7.843 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0
7.844 * [backup-simplify]: Simplify (+ 0 0) into 0
7.846 * [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
7.846 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.848 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
7.848 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.849 * [backup-simplify]: Simplify (- 0) into 0
7.849 * [backup-simplify]: Simplify (+ 0 0) into 0
7.850 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.851 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0
7.851 * [backup-simplify]: Simplify (+ 0 0) into 0
7.854 * [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
7.854 * [backup-simplify]: Simplify 0 into 0
7.855 * [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
7.856 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
7.857 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.858 * [backup-simplify]: Simplify (- 0) into 0
7.858 * [backup-simplify]: Simplify (+ 0 0) into 0
7.859 * [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
7.860 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0
7.860 * [backup-simplify]: Simplify (+ 0 0) into 0
7.863 * [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
7.863 * [backup-simplify]: Simplify 0 into 0
7.864 * [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
7.866 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
7.867 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.867 * [backup-simplify]: Simplify (- 0) into 0
7.868 * [backup-simplify]: Simplify (+ 0 0) into 0
7.868 * [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
7.870 * [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
7.870 * [backup-simplify]: Simplify (+ 0 0) into 0
7.874 * [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
7.874 * [backup-simplify]: Simplify 0 into 0
7.875 * [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
7.877 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
7.878 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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
7.879 * [backup-simplify]: Simplify (- 0) into 0
7.879 * [backup-simplify]: Simplify (+ 0 0) into 0
7.880 * [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
7.882 * [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
7.882 * [backup-simplify]: Simplify (+ 0 0) into 0
7.886 * [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
7.886 * [backup-simplify]: Simplify 0 into 0
7.887 * [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
7.890 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
7.891 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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
7.891 * [backup-simplify]: Simplify (- 0) into 0
7.892 * [backup-simplify]: Simplify (+ 0 0) into 0
7.893 * [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
7.896 * [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
7.896 * [backup-simplify]: Simplify (+ 0 0) into 0
7.899 * [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
7.899 * [backup-simplify]: Simplify 0 into 0
7.899 * [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))
7.900 * [backup-simplify]: Simplify (/ (- 1.0 (/ (* (sin (/ 1 (- x))) (tan (/ 1 (- x)))) (cos (/ 1 (- x))))) (+ 1.0 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) into (/ (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) (+ (pow (tan (/ -1 x)) 2) 1.0))
7.900 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0
7.900 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
7.900 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in x
7.900 * [taylor]: Taking taylor expansion of 1.0 in x
7.900 * [backup-simplify]: Simplify 1.0 into 1.0
7.900 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x
7.900 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x
7.900 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.900 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.900 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.900 * [taylor]: Taking taylor expansion of -1 in x
7.900 * [backup-simplify]: Simplify -1 into -1
7.900 * [taylor]: Taking taylor expansion of x in x
7.900 * [backup-simplify]: Simplify 0 into 0
7.900 * [backup-simplify]: Simplify 1 into 1
7.900 * [backup-simplify]: Simplify (/ -1 1) into -1
7.901 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.901 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.901 * [taylor]: Taking taylor expansion of -1 in x
7.901 * [backup-simplify]: Simplify -1 into -1
7.901 * [taylor]: Taking taylor expansion of x in x
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 1 into 1
7.901 * [backup-simplify]: Simplify (/ -1 1) into -1
7.901 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.901 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.901 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.901 * [taylor]: Taking taylor expansion of -1 in x
7.901 * [backup-simplify]: Simplify -1 into -1
7.901 * [taylor]: Taking taylor expansion of x in x
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 1 into 1
7.902 * [backup-simplify]: Simplify (/ -1 1) into -1
7.902 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.902 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.902 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.902 * [taylor]: Taking taylor expansion of -1 in x
7.902 * [backup-simplify]: Simplify -1 into -1
7.902 * [taylor]: Taking taylor expansion of x in x
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify 1 into 1
7.902 * [backup-simplify]: Simplify (/ -1 1) into -1
7.902 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.902 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))
7.902 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
7.902 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
7.903 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
7.903 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.903 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.903 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.903 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.903 * [taylor]: Taking taylor expansion of -1 in x
7.903 * [backup-simplify]: Simplify -1 into -1
7.903 * [taylor]: Taking taylor expansion of x in x
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 1 into 1
7.903 * [backup-simplify]: Simplify (/ -1 1) into -1
7.903 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.903 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.903 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.903 * [taylor]: Taking taylor expansion of -1 in x
7.903 * [backup-simplify]: Simplify -1 into -1
7.903 * [taylor]: Taking taylor expansion of x in x
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 1 into 1
7.903 * [backup-simplify]: Simplify (/ -1 1) into -1
7.904 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.904 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.904 * [taylor]: Taking taylor expansion of 1.0 in x
7.904 * [backup-simplify]: Simplify 1.0 into 1.0
7.904 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
7.904 * [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)))
7.904 * [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))
7.905 * [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)
7.905 * [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))
7.905 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) (+ (pow (tan (/ -1 x)) 2) 1.0)) in x
7.905 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in x
7.905 * [taylor]: Taking taylor expansion of 1.0 in x
7.905 * [backup-simplify]: Simplify 1.0 into 1.0
7.905 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x
7.905 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x
7.905 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.905 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.906 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.906 * [taylor]: Taking taylor expansion of -1 in x
7.906 * [backup-simplify]: Simplify -1 into -1
7.906 * [taylor]: Taking taylor expansion of x in x
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify 1 into 1
7.906 * [backup-simplify]: Simplify (/ -1 1) into -1
7.906 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.906 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.906 * [taylor]: Taking taylor expansion of -1 in x
7.906 * [backup-simplify]: Simplify -1 into -1
7.906 * [taylor]: Taking taylor expansion of x in x
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify 1 into 1
7.907 * [backup-simplify]: Simplify (/ -1 1) into -1
7.907 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.907 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.907 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.907 * [taylor]: Taking taylor expansion of -1 in x
7.907 * [backup-simplify]: Simplify -1 into -1
7.907 * [taylor]: Taking taylor expansion of x in x
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 1 into 1
7.907 * [backup-simplify]: Simplify (/ -1 1) into -1
7.907 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.907 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.907 * [taylor]: Taking taylor expansion of -1 in x
7.907 * [backup-simplify]: Simplify -1 into -1
7.907 * [taylor]: Taking taylor expansion of x in x
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 1 into 1
7.908 * [backup-simplify]: Simplify (/ -1 1) into -1
7.908 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.908 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))
7.908 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
7.908 * [taylor]: Taking taylor expansion of (+ (pow (tan (/ -1 x)) 2) 1.0) in x
7.908 * [taylor]: Taking taylor expansion of (pow (tan (/ -1 x)) 2) in x
7.908 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.908 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.908 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.908 * [taylor]: Taking taylor expansion of -1 in x
7.908 * [backup-simplify]: Simplify -1 into -1
7.908 * [taylor]: Taking taylor expansion of x in x
7.908 * [backup-simplify]: Simplify 0 into 0
7.908 * [backup-simplify]: Simplify 1 into 1
7.909 * [backup-simplify]: Simplify (/ -1 1) into -1
7.909 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.909 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.909 * [taylor]: Taking taylor expansion of -1 in x
7.909 * [backup-simplify]: Simplify -1 into -1
7.909 * [taylor]: Taking taylor expansion of x in x
7.909 * [backup-simplify]: Simplify 0 into 0
7.909 * [backup-simplify]: Simplify 1 into 1
7.909 * [backup-simplify]: Simplify (/ -1 1) into -1
7.909 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.909 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.909 * [taylor]: Taking taylor expansion of 1.0 in x
7.909 * [backup-simplify]: Simplify 1.0 into 1.0
7.909 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
7.910 * [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)))
7.910 * [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))
7.910 * [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)
7.911 * [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))
7.911 * [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))
7.911 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
7.911 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (sin (/ -1 x)))) into 0
7.912 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))))) into 0
7.912 * [backup-simplify]: Simplify (- 0) into 0
7.912 * [backup-simplify]: Simplify (+ 0 0) into 0
7.913 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
7.913 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0
7.913 * [backup-simplify]: Simplify (+ 0 0) into 0
7.914 * [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
7.914 * [backup-simplify]: Simplify 0 into 0
7.914 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.915 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
7.915 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.915 * [backup-simplify]: Simplify (- 0) into 0
7.916 * [backup-simplify]: Simplify (+ 0 0) into 0
7.916 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.916 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0
7.917 * [backup-simplify]: Simplify (+ 0 0) into 0
7.918 * [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
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [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
7.919 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
7.919 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.920 * [backup-simplify]: Simplify (- 0) into 0
7.920 * [backup-simplify]: Simplify (+ 0 0) into 0
7.920 * [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
7.921 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.922 * [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
7.922 * [backup-simplify]: Simplify 0 into 0
7.923 * [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
7.924 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
7.924 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
7.924 * [backup-simplify]: Simplify (- 0) into 0
7.925 * [backup-simplify]: Simplify (+ 0 0) into 0
7.925 * [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
7.926 * [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
7.926 * [backup-simplify]: Simplify (+ 0 0) into 0
7.928 * [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
7.928 * [backup-simplify]: Simplify 0 into 0
7.928 * [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
7.929 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
7.930 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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
7.930 * [backup-simplify]: Simplify (- 0) into 0
7.930 * [backup-simplify]: Simplify (+ 0 0) into 0
7.931 * [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
7.932 * [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
7.932 * [backup-simplify]: Simplify (+ 0 0) into 0
7.934 * [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
7.934 * [backup-simplify]: Simplify 0 into 0
7.935 * [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
7.936 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
7.936 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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
7.937 * [backup-simplify]: Simplify (- 0) into 0
7.937 * [backup-simplify]: Simplify (+ 0 0) into 0
7.937 * [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
7.939 * [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
7.939 * [backup-simplify]: Simplify (+ 0 0) into 0
7.941 * [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
7.941 * [backup-simplify]: Simplify 0 into 0
7.942 * [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))
7.942 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
7.942 * [backup-simplify]: Simplify (- 1.0 (/ (* (sin x) (tan x)) (cos x))) into (- 1.0 (/ (* (tan x) (sin x)) (cos x)))
7.942 * [approximate]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in (x) around 0
7.942 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in x
7.942 * [taylor]: Taking taylor expansion of 1.0 in x
7.942 * [backup-simplify]: Simplify 1.0 into 1.0
7.942 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x
7.942 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x
7.942 * [taylor]: Taking taylor expansion of (tan x) in x
7.942 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.942 * [taylor]: Taking taylor expansion of (sin x) in x
7.943 * [taylor]: Taking taylor expansion of x in x
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 1 into 1
7.943 * [taylor]: Taking taylor expansion of (cos x) in x
7.943 * [taylor]: Taking taylor expansion of x in x
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 1 into 1
7.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.944 * [backup-simplify]: Simplify (/ 1 1) into 1
7.944 * [taylor]: Taking taylor expansion of (sin x) in x
7.944 * [taylor]: Taking taylor expansion of x in x
7.944 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify 1 into 1
7.944 * [taylor]: Taking taylor expansion of (cos x) in x
7.944 * [taylor]: Taking taylor expansion of x in x
7.944 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify 1 into 1
7.944 * [backup-simplify]: Simplify (* 1 0) into 0
7.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.946 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.946 * [backup-simplify]: Simplify (+ 0) into 0
7.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.947 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
7.948 * [backup-simplify]: Simplify (/ 1 1) into 1
7.948 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan x) (sin x)) (cos x))) in x
7.948 * [taylor]: Taking taylor expansion of 1.0 in x
7.948 * [backup-simplify]: Simplify 1.0 into 1.0
7.948 * [taylor]: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x
7.948 * [taylor]: Taking taylor expansion of (* (tan x) (sin x)) in x
7.948 * [taylor]: Taking taylor expansion of (tan x) in x
7.948 * [taylor]: Rewrote expression to (/ (sin x) (cos x))
7.948 * [taylor]: Taking taylor expansion of (sin x) in x
7.948 * [taylor]: Taking taylor expansion of x in x
7.948 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify 1 into 1
7.948 * [taylor]: Taking taylor expansion of (cos x) in x
7.948 * [taylor]: Taking taylor expansion of x in x
7.948 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify 1 into 1
7.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.949 * [backup-simplify]: Simplify (/ 1 1) into 1
7.949 * [taylor]: Taking taylor expansion of (sin x) in x
7.949 * [taylor]: Taking taylor expansion of x in x
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [backup-simplify]: Simplify 1 into 1
7.950 * [taylor]: Taking taylor expansion of (cos x) in x
7.950 * [taylor]: Taking taylor expansion of x in x
7.950 * [backup-simplify]: Simplify 0 into 0
7.950 * [backup-simplify]: Simplify 1 into 1
7.950 * [backup-simplify]: Simplify (* 1 0) into 0
7.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.951 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.952 * [backup-simplify]: Simplify (+ 0) into 0
7.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.953 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
7.954 * [backup-simplify]: Simplify (/ 1 1) into 1
7.954 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.954 * [backup-simplify]: Simplify 1.0 into 1.0
7.954 * [backup-simplify]: Simplify (+ 0 0) into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.955 * [backup-simplify]: Simplify (- 1) into -1
7.955 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.955 * [backup-simplify]: Simplify -1 into -1
7.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.956 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.958 * [backup-simplify]: Simplify (- (/ -1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/3
7.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* 1/3 0))) into 0
7.959 * [backup-simplify]: Simplify (+ 0) into 0
7.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.959 * [backup-simplify]: Simplify (- 0) into 0
7.960 * [backup-simplify]: Simplify (+ 0 0) into 0
7.960 * [backup-simplify]: Simplify 0 into 0
7.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.961 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.962 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/3 (/ 0 1)))) into 0
7.964 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (+ (* 1/3 1) (* 0 0)))) into 1/6
7.964 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.965 * [backup-simplify]: Simplify (- (/ 1/6 1) (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 2/3
7.965 * [backup-simplify]: Simplify (- 2/3) into -2/3
7.966 * [backup-simplify]: Simplify (+ 0 -2/3) into -2/3
7.966 * [backup-simplify]: Simplify -2/3 into -2/3
7.966 * [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))))
7.966 * [backup-simplify]: Simplify (- 1.0 (/ (* (sin (/ 1 x)) (tan (/ 1 x))) (cos (/ 1 x)))) into (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))))
7.966 * [approximate]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in (x) around 0
7.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x
7.966 * [taylor]: Taking taylor expansion of 1.0 in x
7.966 * [backup-simplify]: Simplify 1.0 into 1.0
7.966 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x
7.966 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x
7.966 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.966 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.966 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.967 * [taylor]: Taking taylor expansion of x in x
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 1 into 1
7.967 * [backup-simplify]: Simplify (/ 1 1) into 1
7.967 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.967 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.967 * [taylor]: Taking taylor expansion of x in x
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 1 into 1
7.967 * [backup-simplify]: Simplify (/ 1 1) into 1
7.967 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.967 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.967 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.967 * [taylor]: Taking taylor expansion of x in x
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 1 into 1
7.968 * [backup-simplify]: Simplify (/ 1 1) into 1
7.968 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.968 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.968 * [taylor]: Taking taylor expansion of x in x
7.968 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify 1 into 1
7.968 * [backup-simplify]: Simplify (/ 1 1) into 1
7.968 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.968 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))
7.968 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
7.968 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x
7.969 * [taylor]: Taking taylor expansion of 1.0 in x
7.969 * [backup-simplify]: Simplify 1.0 into 1.0
7.969 * [taylor]: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x
7.969 * [taylor]: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x
7.969 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x
7.969 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.969 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.969 * [taylor]: Taking taylor expansion of x in x
7.969 * [backup-simplify]: Simplify 0 into 0
7.969 * [backup-simplify]: Simplify 1 into 1
7.969 * [backup-simplify]: Simplify (/ 1 1) into 1
7.969 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.969 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.969 * [taylor]: Taking taylor expansion of x in x
7.969 * [backup-simplify]: Simplify 0 into 0
7.969 * [backup-simplify]: Simplify 1 into 1
7.969 * [backup-simplify]: Simplify (/ 1 1) into 1
7.969 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.970 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x)))
7.970 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
7.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.970 * [taylor]: Taking taylor expansion of x in x
7.970 * [backup-simplify]: Simplify 0 into 0
7.970 * [backup-simplify]: Simplify 1 into 1
7.970 * [backup-simplify]: Simplify (/ 1 1) into 1
7.970 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
7.970 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
7.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.970 * [taylor]: Taking taylor expansion of x in x
7.970 * [backup-simplify]: Simplify 0 into 0
7.970 * [backup-simplify]: Simplify 1 into 1
7.970 * [backup-simplify]: Simplify (/ 1 1) into 1
7.970 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
7.970 * [backup-simplify]: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))
7.971 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))
7.971 * [backup-simplify]: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))
7.971 * [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)))
7.971 * [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)))
7.972 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0
7.972 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (sin (/ 1 x)))) into 0
7.972 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))))) into 0
7.975 * [backup-simplify]: Simplify (- 0) into 0
7.975 * [backup-simplify]: Simplify (+ 0 0) into 0
7.975 * [backup-simplify]: Simplify 0 into 0
7.976 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.976 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0
7.977 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.977 * [backup-simplify]: Simplify (- 0) into 0
7.977 * [backup-simplify]: Simplify (+ 0 0) into 0
7.977 * [backup-simplify]: Simplify 0 into 0
7.977 * [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
7.978 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0
7.978 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.979 * [backup-simplify]: Simplify (- 0) into 0
7.979 * [backup-simplify]: Simplify (+ 0 0) into 0
7.979 * [backup-simplify]: Simplify 0 into 0
7.979 * [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
7.980 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0
7.981 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0
7.981 * [backup-simplify]: Simplify (- 0) into 0
7.981 * [backup-simplify]: Simplify (+ 0 0) into 0
7.981 * [backup-simplify]: Simplify 0 into 0
7.982 * [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
7.983 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0
7.983 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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
7.984 * [backup-simplify]: Simplify (- 0) into 0
7.984 * [backup-simplify]: Simplify (+ 0 0) into 0
7.984 * [backup-simplify]: Simplify 0 into 0
7.984 * [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
7.986 * [backup-simplify]: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0
7.987 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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
7.988 * [backup-simplify]: Simplify (- 0) into 0
7.988 * [backup-simplify]: Simplify (+ 0 0) into 0
7.988 * [backup-simplify]: Simplify 0 into 0
7.989 * [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)))
7.989 * [backup-simplify]: Simplify (- 1.0 (/ (* (sin (/ 1 (- x))) (tan (/ 1 (- x)))) (cos (/ 1 (- x))))) into (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))))
7.989 * [approximate]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in (x) around 0
7.989 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in x
7.989 * [taylor]: Taking taylor expansion of 1.0 in x
7.989 * [backup-simplify]: Simplify 1.0 into 1.0
7.989 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x
7.989 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x
7.989 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.989 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.989 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.989 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.989 * [taylor]: Taking taylor expansion of -1 in x
7.989 * [backup-simplify]: Simplify -1 into -1
7.990 * [taylor]: Taking taylor expansion of x in x
7.990 * [backup-simplify]: Simplify 0 into 0
7.990 * [backup-simplify]: Simplify 1 into 1
7.990 * [backup-simplify]: Simplify (/ -1 1) into -1
7.990 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.990 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.990 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.990 * [taylor]: Taking taylor expansion of -1 in x
7.990 * [backup-simplify]: Simplify -1 into -1
7.990 * [taylor]: Taking taylor expansion of x in x
7.990 * [backup-simplify]: Simplify 0 into 0
7.990 * [backup-simplify]: Simplify 1 into 1
7.991 * [backup-simplify]: Simplify (/ -1 1) into -1
7.991 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.991 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.991 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.991 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.991 * [taylor]: Taking taylor expansion of -1 in x
7.991 * [backup-simplify]: Simplify -1 into -1
7.991 * [taylor]: Taking taylor expansion of x in x
7.991 * [backup-simplify]: Simplify 0 into 0
7.991 * [backup-simplify]: Simplify 1 into 1
7.992 * [backup-simplify]: Simplify (/ -1 1) into -1
7.992 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.992 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.992 * [taylor]: Taking taylor expansion of -1 in x
7.992 * [backup-simplify]: Simplify -1 into -1
7.992 * [taylor]: Taking taylor expansion of x in x
7.992 * [backup-simplify]: Simplify 0 into 0
7.992 * [backup-simplify]: Simplify 1 into 1
7.993 * [backup-simplify]: Simplify (/ -1 1) into -1
7.993 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.993 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))
7.993 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
7.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x)))) in x
7.994 * [taylor]: Taking taylor expansion of 1.0 in x
7.994 * [backup-simplify]: Simplify 1.0 into 1.0
7.994 * [taylor]: Taking taylor expansion of (/ (* (tan (/ -1 x)) (sin (/ -1 x))) (cos (/ -1 x))) in x
7.994 * [taylor]: Taking taylor expansion of (* (tan (/ -1 x)) (sin (/ -1 x))) in x
7.994 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x
7.994 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.994 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.994 * [taylor]: Taking taylor expansion of -1 in x
7.994 * [backup-simplify]: Simplify -1 into -1
7.994 * [taylor]: Taking taylor expansion of x in x
7.994 * [backup-simplify]: Simplify 0 into 0
7.994 * [backup-simplify]: Simplify 1 into 1
7.995 * [backup-simplify]: Simplify (/ -1 1) into -1
7.995 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.995 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.995 * [taylor]: Taking taylor expansion of -1 in x
7.995 * [backup-simplify]: Simplify -1 into -1
7.995 * [taylor]: Taking taylor expansion of x in x
7.995 * [backup-simplify]: Simplify 0 into 0
7.995 * [backup-simplify]: Simplify 1 into 1
7.995 * [backup-simplify]: Simplify (/ -1 1) into -1
7.995 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.996 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x)))
7.996 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
7.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.996 * [taylor]: Taking taylor expansion of -1 in x
7.996 * [backup-simplify]: Simplify -1 into -1
7.996 * [taylor]: Taking taylor expansion of x in x
7.996 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify 1 into 1
7.996 * [backup-simplify]: Simplify (/ -1 1) into -1
7.996 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
7.996 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
7.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.997 * [taylor]: Taking taylor expansion of -1 in x
7.997 * [backup-simplify]: Simplify -1 into -1
7.997 * [taylor]: Taking taylor expansion of x in x
7.997 * [backup-simplify]: Simplify 0 into 0
7.997 * [backup-simplify]: Simplify 1 into 1
7.997 * [backup-simplify]: Simplify (/ -1 1) into -1
7.997 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
7.997 * [backup-simplify]: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))
7.998 * [backup-simplify]: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))
7.998 * [backup-simplify]: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))
7.999 * [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)))
7.999 * [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)))
8.000 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0
8.000 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (sin (/ -1 x)))) into 0
8.001 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))))) into 0
8.001 * [backup-simplify]: Simplify (- 0) into 0
8.002 * [backup-simplify]: Simplify (+ 0 0) into 0
8.002 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
8.003 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0
8.004 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
8.004 * [backup-simplify]: Simplify (- 0) into 0
8.005 * [backup-simplify]: Simplify (+ 0 0) into 0
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [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
8.006 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0
8.007 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
8.008 * [backup-simplify]: Simplify (- 0) into 0
8.008 * [backup-simplify]: Simplify (+ 0 0) into 0
8.008 * [backup-simplify]: Simplify 0 into 0
8.009 * [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
8.011 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0
8.012 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0
8.012 * [backup-simplify]: Simplify (- 0) into 0
8.013 * [backup-simplify]: Simplify (+ 0 0) into 0
8.013 * [backup-simplify]: Simplify 0 into 0
8.014 * [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
8.015 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0
8.016 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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
8.017 * [backup-simplify]: Simplify (- 0) into 0
8.017 * [backup-simplify]: Simplify (+ 0 0) into 0
8.017 * [backup-simplify]: Simplify 0 into 0
8.018 * [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
8.021 * [backup-simplify]: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0
8.022 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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
8.022 * [backup-simplify]: Simplify (- 0) into 0
8.023 * [backup-simplify]: Simplify (+ 0 0) into 0
8.023 * [backup-simplify]: Simplify 0 into 0
8.023 * [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)))
8.024 * * * [progress]: simplifying candidates
8.027 * [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))
  (* (sin x) (tan x))
  (+ (log (sin x)) (log (tan x)))
  (log (* (sin x) (tan x)))
  (exp (* (sin x) (tan x)))
  (* (* (* (sin x) (sin x)) (sin x)) (* (* (tan x) (tan x)) (tan x)))
  (* (cbrt (* (sin x) (tan x))) (cbrt (* (sin x) (tan x))))
  (cbrt (* (sin x) (tan x)))
  (* (* (* (sin x) (tan x)) (* (sin x) (tan x))) (* (sin x) (tan x)))
  (sqrt (* (sin x) (tan x)))
  (sqrt (* (sin x) (tan x)))
  (* (sqrt (sin x)) (sqrt (tan x)))
  (* (sqrt (sin x)) (sqrt (tan x)))
  (* (sin x) (* (cbrt (tan x)) (cbrt (tan x))))
  (* (sin x) (sqrt (tan x)))
  (* (sin x) 1)
  (* (cbrt (sin x)) (tan x))
  (* (sqrt (sin x)) (tan x))
  (* (sin x) (tan x))
  (* (sin x) (sin x))
  (- (log (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (log (+ 1.0 (* (tan x) (tan x)))))
  (log (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (exp (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (/ (* (* (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))))
  (* (cbrt (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))))
  (cbrt (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (* (* (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (sqrt (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (sqrt (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (- (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (- (+ 1.0 (* (tan x) (tan x))))
  (/ 1.0 (+ 1.0 (* (tan x) (tan x))))
  (/ (/ (* (sin x) (tan x)) (cos x)) (+ 1.0 (* (tan x) (tan x))))
  (/ (* (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (* (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (* (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))) 1)
  (/ (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (+ 1.0 (* (tan x) (tan x))))
  (/ (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) 1)
  (/ (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (+ 1.0 (* (tan x) (tan x))))
  (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 1)
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
  (/ (+ (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (- (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (+ (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (- (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (+ (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))) 1)
  (/ (- (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))) (+ 1.0 (* (tan x) (tan x))))
  (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 1)
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
  (/ 1 (+ 1.0 (* (tan x) (tan x))))
  (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) 1)
  (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))))
  (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))))
  (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))))
  (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3)))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))))
  (* (+ 1.0 (* (tan x) (tan x))) (+ (* 1.0 1.0) (+ (* (/ (* (sin x) (tan x)) (cos x)) (/ (* (sin x) (tan x)) (cos x))) (* 1.0 (/ (* (sin x) (tan x)) (cos x))))))
  (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (/ (exp 1.0) (exp (/ (* (sin x) (tan x)) (cos x))))
  (log (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (exp (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (* (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))))
  (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (* (* (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (- (pow 1.0 3) (pow (/ (* (sin x) (tan x)) (cos x)) 3))
  (+ (* 1.0 1.0) (+ (* (/ (* (sin x) (tan x)) (cos x)) (/ (* (sin x) (tan x)) (cos x))) (* 1.0 (/ (* (sin x) (tan x)) (cos x)))))
  (- (/ (* (sin x) (tan x)) (cos x)))
  (- (* 1.0 1.0) (* (/ (* (sin x) (tan x)) (cos x)) (/ (* (sin x) (tan x)) (cos x))))
  (+ 1.0 (/ (* (sin x) (tan x)) (cos x)))
  (+ (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x))))
  (- (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x))))
  (- 1.0 (/ (* (sin x) (tan x)) (cos x)))
  (- (/ (* (sin x) (tan x)) (cos 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) (+ (* 31/360 (pow x 6)) (* 1/6 (pow x 4))))
  (/ (pow (sin x) 2) (cos x))
  (/ (pow (sin x) 2) (cos x))
  (- (+ (* 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))
  (- 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)))
8.032 * * [simplify]: Extracting # 0 : cost  0
8.032 * * [simplify]: Extracting # 1 : cost  0
8.033 * * [simplify]: Extracting # 2 : cost  0
8.033 * * [simplify]: Extracting # 3 : cost  0
8.034 * * [simplify]: Extracting # 4 : cost  0
8.034 * * [simplify]: Extracting # 5 : cost  0
8.035 * * [simplify]: Extracting # 6 : cost  0
8.035 * * [simplify]: Extracting # 7 : cost  0
8.035 * * [simplify]: Extracting # 8 : cost  0
8.036 * * [simplify]: iteration  0 :  172  enodes  (cost  1940 )
8.116 * * [simplify]: Extracting # 0 : cost  0
8.117 * * [simplify]: Extracting # 1 : cost  0
8.119 * * [simplify]: Extracting # 2 : cost  0
8.120 * * [simplify]: Extracting # 3 : cost  0
8.121 * * [simplify]: iteration  1 :  443  enodes  (cost  1852 )
8.388 * * [simplify]: Extracting # 0 : cost  0
8.391 * * [simplify]: Extracting # 1 : cost  0
8.394 * * [simplify]: Extracting # 2 : cost  0
8.397 * * [simplify]: Extracting # 3 : cost  0
8.399 * * [simplify]: Extracting # 4 : cost  0
8.402 * * [simplify]: iteration  2 :  2065  enodes  (cost  1714 )
9.458 * * [simplify]: Extracting # 0 : cost  0
9.476 * * [simplify]: Extracting # 1 : cost  0
9.490 * * [simplify]: Extracting # 2 : cost  0
9.503 * * [simplify]: Extracting # 3 : cost  0
9.523 * * [simplify]: Extracting # 4 : cost  0
9.529 * * [simplify]: iteration done:  5004  enodes  (cost  1705 )
9.530 * [simplify]: Simplified to:
  2
  (* (tan x) (tan x))
  2
  (* 2 (log (tan x)))
  (* 2 (log (tan x)))
  (exp (* (tan x) (tan x)))
  (pow (tan x) 6)
  (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x))))
  (cbrt (* (tan x) (tan x)))
  (pow (tan x) 6)
  (fabs (tan x))
  (fabs (tan x))
  (pow (sin x) 2)
  (pow (cos x) 2)
  (* (tan x) (cbrt (tan x)))
  (* (cbrt (tan x)) (cbrt (tan x)))
  (tan x)
  (tan x)
  1
  (* (tan x) (tan x))
  (tan x)
  (tan x)
  2
  (* (tan x) (* (cbrt (tan x)) (cbrt (tan x))))
  (pow (sqrt (tan x)) 3)
  (tan x)
  (* (tan x) (cbrt (tan x)))
  (pow (sqrt (tan x)) 3)
  (* (tan x) (tan x))
  (* (tan x) (sin x))
  (* (tan x) (sin x))
  (* (tan x) (sin x))
  (log (* (sin x) (tan x)))
  (log (* (sin x) (tan x)))
  (exp (* (sin x) (tan x)))
  (pow (* (sin x) (tan x)) 3)
  (* (cbrt (* (sin x) (tan x))) (cbrt (* (sin x) (tan x))))
  (cbrt (* (sin x) (tan x)))
  (pow (* (sin x) (tan x)) 3)
  (sqrt (* (sin x) (tan x)))
  (sqrt (* (sin x) (tan x)))
  (* (sqrt (sin x)) (sqrt (tan x)))
  (* (sqrt (sin x)) (sqrt (tan x)))
  (* (* (cbrt (tan x)) (cbrt (tan x))) (sin x))
  (* (sin x) (sqrt (tan x)))
  (sin x)
  (* (cbrt (sin x)) (tan x))
  (* (sqrt (sin x)) (tan x))
  (* (tan x) (sin x))
  (pow (sin x) 2)
  (log (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (log (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (exp (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (pow (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))) 3)
  (* (cbrt (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))))
  (cbrt (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (pow (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))) 3)
  (sqrt (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (sqrt (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))
  (- (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (- (+ 1.0 (* (tan x) (tan x))))
  (/ 1.0 (+ 1.0 (* (tan x) (tan x))))
  (/ (/ (* (sin x) (tan x)) (cos x)) (+ 1.0 (* (tan x) (tan x))))
  (/ (* (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (* (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (* (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))))
  (/ (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (+ 1.0 (* (tan x) (tan x))))
  (/ (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (/ (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (+ 1.0 (* (tan x) (tan x))))
  (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  1
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
  (/ (+ (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (- (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (+ (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (- (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (+ (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x))))
  (/ (- (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))) (+ 1.0 (* (tan x) (tan x))))
  (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (cbrt (+ 1.0 (* (tan x) (tan x)))))
  (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  1
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
  (/ 1 (+ 1.0 (* (tan x) (tan x))))
  (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (sqrt (+ 1.0 (* (tan x) (tan x)))))
  (- 1.0 (/ (* (sin x) (tan x)) (cos x)))
  (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))))
  (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))))
  (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x)))))
  (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ (pow 1.0 3) (pow (tan x) 6)))
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (- (* 1.0 1.0) (pow (tan x) (+ 3 1))))
  (* (+ 1.0 (* (tan x) (tan x))) (+ (* (/ (* (sin x) (tan x)) (cos x)) (+ 1.0 (/ (* (sin x) (tan x)) (cos x)))) (* 1.0 1.0)))
  (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (exp (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (log (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (exp (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (* (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))) (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x)))))
  (cbrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (pow (- 1.0 (/ (* (sin x) (tan x)) (cos x))) 3)
  (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (sqrt (- 1.0 (/ (* (sin x) (tan x)) (cos x))))
  (- (pow 1.0 3) (pow (/ (* (sin x) (tan x)) (cos x)) 3))
  (+ (* (/ (* (sin x) (tan x)) (cos x)) (+ 1.0 (/ (* (sin x) (tan x)) (cos x)))) (* 1.0 1.0))
  (- (/ (sin x) (/ (cos x) (tan x))))
  (- (* 1.0 1.0) (/ (/ (* (* (tan x) (tan x)) (pow (sin x) 2)) (cos x)) (cos x)))
  (+ 1.0 (/ (* (sin x) (tan x)) (cos x)))
  (+ (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x))))
  (- (sqrt 1.0) (sqrt (/ (* (sin x) (tan x)) (cos x))))
  (- 1.0 (/ (* (sin x) (tan x)) (cos x)))
  (- (/ (sin x) (/ (cos 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) (+ (* 31/360 (pow x 6)) (* 1/6 (pow x 4))))
  (/ (pow (sin x) 2) (cos x))
  (/ (pow (sin x) 2) (cos x))
  (- (+ (* 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))
  (- 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)))
9.531 * * * [progress]: adding candidates to table
9.966 * [progress]: [Phase 3 of 3] Extracting.
9.967 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (/ (/ (* (* (tan x) (tan x)) (pow (sin x) 2)) (cos x)) (cos x))) (+ 1.0 (/ (* (sin x) (tan x)) (cos x)))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (* (- 1.0 (* (tan x) (tan x))) (- (/ 1.0 (- (* 1.0 1.0) (pow (tan x) (+ 3 1)))) (/ (tan x) (/ (- (* 1.0 1.0) (pow (tan x) (+ 3 1))) (tan x))))))> #<alt (λ (x) (/ (log (exp (- 1.0 (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (- (* (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (/ (/ (pow (tan x) 3) (/ (+ 1.0 (* (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)))))))> #<alt (λ (x) (* (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))))))> #<alt (λ (x) (/ (- 1.0 (log (exp (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (pow (tan x) (+ 3 1))) (+ (* (tan x) (tan x)) 1.0)) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (* (* (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))))>)
9.974 * * * [regime-changes]: Trying 3 branch expressions: ((tan x) (* (tan x) (tan x)) x)
9.975 * * * * [regimes]: Trying to branch on (tan x) from (#<alt (λ (x) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (/ (/ (* (* (tan x) (tan x)) (pow (sin x) 2)) (cos x)) (cos x))) (+ 1.0 (/ (* (sin x) (tan x)) (cos x)))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (* (- 1.0 (* (tan x) (tan x))) (- (/ 1.0 (- (* 1.0 1.0) (pow (tan x) (+ 3 1)))) (/ (tan x) (/ (- (* 1.0 1.0) (pow (tan x) (+ 3 1))) (tan x))))))> #<alt (λ (x) (/ (log (exp (- 1.0 (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (- (* (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (/ (/ (pow (tan x) 3) (/ (+ 1.0 (* (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)))))))> #<alt (λ (x) (* (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))))))> #<alt (λ (x) (/ (- 1.0 (log (exp (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (pow (tan x) (+ 3 1))) (+ (* (tan x) (tan x)) 1.0)) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (* (* (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))))>)
10.032 * * * * [regimes]: Trying to branch on (tan x) from (#<alt (λ (x) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))))> #<alt (λ (x) (* (- 1.0 (* (tan x) (tan x))) (- (/ 1.0 (- (* 1.0 1.0) (pow (tan x) (+ 3 1)))) (/ (tan x) (/ (- (* 1.0 1.0) (pow (tan x) (+ 3 1))) (tan x))))))> #<alt (λ (x) (/ (log (exp (- 1.0 (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (- (* (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (/ (/ (pow (tan x) 3) (/ (+ 1.0 (* (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)))))))> #<alt (λ (x) (* (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))))))> #<alt (λ (x) (/ (- 1.0 (log (exp (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (pow (tan x) (+ 3 1))) (+ (* (tan x) (tan x)) 1.0)) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (* (* (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))))>)
10.074 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (#<alt (λ (x) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (/ (/ (* (* (tan x) (tan x)) (pow (sin x) 2)) (cos x)) (cos x))) (+ 1.0 (/ (* (sin x) (tan x)) (cos x)))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (* (- 1.0 (* (tan x) (tan x))) (- (/ 1.0 (- (* 1.0 1.0) (pow (tan x) (+ 3 1)))) (/ (tan x) (/ (- (* 1.0 1.0) (pow (tan x) (+ 3 1))) (tan x))))))> #<alt (λ (x) (/ (log (exp (- 1.0 (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (- (* (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (/ (/ (pow (tan x) 3) (/ (+ 1.0 (* (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)))))))> #<alt (λ (x) (* (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))))))> #<alt (λ (x) (/ (- 1.0 (log (exp (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (pow (tan x) (+ 3 1))) (+ (* (tan x) (tan x)) 1.0)) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (* (* (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))))>)
10.141 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (#<alt (λ (x) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))))> #<alt (λ (x) (/ (log (exp (- 1.0 (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (* (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))))))> #<alt (λ (x) (/ (- 1.0 (log (exp (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (* (* (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))))>)
10.163 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (log (exp (/ (- 1.0 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1.0)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (/ (/ (* (* (tan x) (tan x)) (pow (sin x) 2)) (cos x)) (cos x))) (+ 1.0 (/ (* (sin x) (tan x)) (cos x)))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (* (- 1.0 (* (tan x) (tan x))) (- (/ 1.0 (- (* 1.0 1.0) (pow (tan x) (+ 3 1)))) (/ (tan x) (/ (- (* 1.0 1.0) (pow (tan x) (+ 3 1))) (tan x))))))> #<alt (λ (x) (/ (log (exp (- 1.0 (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (- (* (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x))))) (/ (/ (pow (tan x) 3) (/ (+ 1.0 (* (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)))))))> #<alt (λ (x) (* (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))) (* (- 1.0 (* (tan x) (tan x))) (sqrt (/ 1 (+ 1.0 (* (tan x) (tan x))))))))> #<alt (λ (x) (/ (- 1.0 (log (exp (* (tan x) (tan x))))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (pow (tan x) (+ 3 1))) (+ (* (tan x) (tan x)) 1.0)) (+ 1.0 (* (tan x) (tan x)))))> #<alt (λ (x) (* (* (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))) (cbrt (- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x))))))))>)
10.213 * * * [regime]: Found split indices: #<option (#s(si 7 255))>
10.214 * [simplify]: Simplifying:
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
10.214 * * [simplify]: Extracting # 0 : cost  0
10.214 * * [simplify]: Extracting # 1 : cost  0
10.214 * * [simplify]: Extracting # 2 : cost  0
10.214 * * [simplify]: Extracting # 3 : cost  0
10.214 * * [simplify]: Extracting # 4 : cost  0
10.214 * * [simplify]: Extracting # 5 : cost  0
10.214 * * [simplify]: Extracting # 6 : cost  0
10.214 * * [simplify]: iteration  0 :  11  enodes  (cost  18 )
10.215 * * [simplify]: Extracting # 0 : cost  0
10.215 * * [simplify]: iteration  1 :  13  enodes  (cost  18 )
10.215 * * [simplify]: Extracting # 0 : cost  0
10.215 * * [simplify]: iteration done:  13  enodes  (cost  18 )
10.215 * [simplify]: Simplified to:
  (/ (- 1.0 (/ (* (sin x) (tan x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
15.494 * [regime-testing]: Baseline error score: 0.39611307924525346
15.499 * [regime-testing]: Oracle error score: 0.08452899886915273
15.507 * [regime-testing]: End program error score: 0.39611307924525346