21.094 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.206 * * * [progress]: [2/2] Setting up program. 0.212 * [progress]: [Phase 2 of 3] Improving. 0.212 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (sin x)) 0.212 * * [simplify]: iteration 0: 6 enodes 0.215 * * [simplify]: iteration 1: 11 enodes 0.217 * * [simplify]: iteration 2: 14 enodes 0.221 * * [simplify]: iteration 3: 16 enodes 0.224 * * [simplify]: iteration complete: 16 enodes 0.224 * * [simplify]: Extracting #0: cost 1 inf + 0 0.224 * * [simplify]: Extracting #1: cost 6 inf + 0 0.225 * * [simplify]: Extracting #2: cost 10 inf + 0 0.225 * * [simplify]: Extracting #3: cost 3 inf + 20 0.225 * * [simplify]: Extracting #4: cost 0 inf + 35 0.225 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.225 * * [progress]: iteration 1 / 4 0.225 * * * [progress]: picking best candidate 0.231 * * * * [pick]: Picked # 0.231 * * * [progress]: localizing error 0.250 * * * [progress]: generating rewritten candidates 0.250 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.256 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.301 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.301 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.301 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.301 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [backup-simplify]: Simplify 1.0 into 1.0 0.301 * [taylor]: Taking taylor expansion of (cos x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [backup-simplify]: Simplify 1.0 into 1.0 0.301 * [taylor]: Taking taylor expansion of (cos x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (- 1) into -1 0.302 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ 0) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.303 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.304 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.304 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [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 0.307 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.307 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.307 * [backup-simplify]: Simplify -1/24 into -1/24 0.308 * [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 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.312 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.312 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.312 * [backup-simplify]: Simplify 1/720 into 1/720 0.312 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 0.312 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.312 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [backup-simplify]: Simplify 1.0 into 1.0 0.312 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.313 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [backup-simplify]: Simplify 1.0 into 1.0 0.313 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.313 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.313 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.313 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.317 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.317 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [backup-simplify]: Simplify 1.0 into 1.0 0.317 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (/ -1 1) into -1 0.317 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [backup-simplify]: Simplify 1.0 into 1.0 0.317 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ -1 1) into -1 0.318 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.318 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.318 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.318 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.321 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.321 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 0.321 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.321 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.321 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [backup-simplify]: Simplify 1.0 into 1.0 0.321 * [taylor]: Taking taylor expansion of (cos x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of (sin x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (- 1) into -1 0.322 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.322 * [backup-simplify]: Simplify (+ 0) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.323 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.324 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.325 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.325 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [backup-simplify]: Simplify 1.0 into 1.0 0.325 * [taylor]: Taking taylor expansion of (cos x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of (sin x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (- 1) into -1 0.325 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.326 * [backup-simplify]: Simplify (+ 0) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.327 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.327 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.328 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.328 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.328 * [backup-simplify]: Simplify 1/2 into 1/2 0.329 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.332 * [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 0.332 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.333 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.335 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.336 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 0.336 * [backup-simplify]: Simplify 1/24 into 1/24 0.339 * [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 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.348 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.349 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.352 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 0.354 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/240 0.355 * [backup-simplify]: Simplify 1/240 into 1/240 0.355 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 0.355 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.355 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [backup-simplify]: Simplify 1.0 into 1.0 0.356 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.356 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.357 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.357 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.357 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.357 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.357 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [backup-simplify]: Simplify 1.0 into 1.0 0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.358 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.359 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.359 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.359 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.360 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 0.369 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.369 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [backup-simplify]: Simplify 1.0 into 1.0 0.369 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.369 * [backup-simplify]: Simplify -1 into -1 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 0.370 * [backup-simplify]: Simplify (/ -1 1) into -1 0.370 * [backup-simplify]: Simplify (cos (/ -1 x)) into (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 -1 in x 0.370 * [backup-simplify]: Simplify -1 into -1 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 (sin (/ -1 x)) into (sin (/ -1 x)) 0.371 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.371 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.371 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.371 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.371 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [backup-simplify]: Simplify 1.0 into 1.0 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 -1 in x 0.371 * [backup-simplify]: Simplify -1 into -1 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 0.372 * [backup-simplify]: Simplify (/ -1 1) into -1 0.372 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.372 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.372 * [taylor]: Taking taylor expansion of -1 in x 0.372 * [backup-simplify]: Simplify -1 into -1 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ -1 1) into -1 0.373 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.373 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.373 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.373 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.373 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 0.381 * * * [progress]: simplifying candidates 0.383 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.384 * * [simplify]: iteration 0: 106 enodes 0.744 * * [simplify]: iteration 1: 240 enodes 0.823 * * [simplify]: iteration 2: 805 enodes 1.146 * * [simplify]: iteration complete: 5000 enodes 1.147 * * [simplify]: Extracting #0: cost 54 inf + 0 1.148 * * [simplify]: Extracting #1: cost 652 inf + 1 1.157 * * [simplify]: Extracting #2: cost 1793 inf + 46 1.163 * * [simplify]: Extracting #3: cost 2330 inf + 172 1.170 * * [simplify]: Extracting #4: cost 1698 inf + 3293 1.177 * * [simplify]: Extracting #5: cost 514 inf + 12904 1.184 * * [simplify]: Extracting #6: cost 4 inf + 19473 1.190 * * [simplify]: Extracting #7: cost 0 inf + 19530 1.199 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (sin x))) (cbrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (sin x)) (* (sin x) (+ 1.0 (cos x))) (+ (+ (* (pow x 4) -1/24) (* 1/2 (* x x))) (* (pow x 6) 1/720)) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/240 (pow x 5)) (* x (+ (* x (* x 1/24)) 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.200 * * * [progress]: adding candidates to table 1.474 * * [progress]: iteration 2 / 4 1.474 * * * [progress]: picking best candidate 1.562 * * * * [pick]: Picked # 1.562 * * * [progress]: localizing error 1.573 * * * [progress]: generating rewritten candidates 1.573 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 1.578 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.597 * * * [progress]: generating series expansions 1.598 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 1.598 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.598 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.598 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.598 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * [backup-simplify]: Simplify 1.0 into 1.0 1.598 * [taylor]: Taking taylor expansion of (cos x) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.598 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * [backup-simplify]: Simplify 1.0 into 1.0 1.598 * [taylor]: Taking taylor expansion of (cos x) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (- 1) into -1 1.599 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (+ 0) into 0 1.600 * [backup-simplify]: Simplify (- 0) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.601 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.601 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.601 * [backup-simplify]: Simplify 1/2 into 1/2 1.602 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.602 * [backup-simplify]: Simplify (- 0) into 0 1.603 * [backup-simplify]: Simplify (+ 0 0) into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.604 * [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 1.604 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.605 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.605 * [backup-simplify]: Simplify -1/24 into -1/24 1.606 * [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 1.606 * [backup-simplify]: Simplify (- 0) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.609 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.610 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.610 * [backup-simplify]: Simplify 1/720 into 1/720 1.610 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 1.610 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.610 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.610 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [backup-simplify]: Simplify 1.0 into 1.0 1.610 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (/ 1 1) into 1 1.611 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.611 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.611 * [taylor]: Taking taylor expansion of 1.0 in x 1.611 * [backup-simplify]: Simplify 1.0 into 1.0 1.611 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (/ 1 1) into 1 1.611 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.611 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.611 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.611 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.612 * [backup-simplify]: Simplify (- 0) into 0 1.612 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (- 0) into 0 1.612 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify (+ 0 0) into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify (+ 0 0) into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (- 0) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.614 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.614 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.614 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.614 * [backup-simplify]: Simplify 1.0 into 1.0 1.615 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.615 * [taylor]: Taking taylor expansion of -1 in x 1.615 * [backup-simplify]: Simplify -1 into -1 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (/ -1 1) into -1 1.615 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.615 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.615 * [taylor]: Taking taylor expansion of 1.0 in x 1.615 * [backup-simplify]: Simplify 1.0 into 1.0 1.615 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.615 * [taylor]: Taking taylor expansion of -1 in x 1.615 * [backup-simplify]: Simplify -1 into -1 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (/ -1 1) into -1 1.615 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.616 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.616 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.616 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.617 * [backup-simplify]: Simplify (+ 0 0) into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.617 * [backup-simplify]: Simplify (+ 0 0) into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.619 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.619 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 1.619 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.619 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.619 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.619 * [taylor]: Taking taylor expansion of 1.0 in x 1.619 * [backup-simplify]: Simplify 1.0 into 1.0 1.619 * [taylor]: Taking taylor expansion of (cos x) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [taylor]: Taking taylor expansion of (sin x) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (- 1) into -1 1.620 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.620 * [backup-simplify]: Simplify (+ 0) into 0 1.620 * [backup-simplify]: Simplify (- 0) into 0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.624 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.624 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.625 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.625 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.625 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [backup-simplify]: Simplify 1.0 into 1.0 1.625 * [taylor]: Taking taylor expansion of (cos x) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of (sin x) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (- 1) into -1 1.626 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.626 * [backup-simplify]: Simplify (+ 0) into 0 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.627 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.627 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.628 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.628 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.628 * [backup-simplify]: Simplify 1/2 into 1/2 1.629 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.629 * [backup-simplify]: Simplify (- 0) into 0 1.629 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.633 * [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 1.633 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.634 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.635 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.637 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 1.637 * [backup-simplify]: Simplify 1/24 into 1/24 1.640 * [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 1.641 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.651 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.652 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.656 * [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 1.658 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/240 1.659 * [backup-simplify]: Simplify 1/240 into 1/240 1.659 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 1.659 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.659 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.660 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.660 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.660 * [taylor]: Taking taylor expansion of 1.0 in x 1.660 * [backup-simplify]: Simplify 1.0 into 1.0 1.660 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (/ 1 1) into 1 1.660 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.660 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.661 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.661 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.662 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.662 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.662 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.662 * [backup-simplify]: Simplify 1.0 into 1.0 1.662 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.662 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.662 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.663 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.663 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.663 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.664 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.664 * [backup-simplify]: Simplify (- 0) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (- 0) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (- 0) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify (- 0) into 0 1.669 * [backup-simplify]: Simplify (+ 0 0) into 0 1.670 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify (- 0) into 0 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.673 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 1.674 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.674 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.674 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.674 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.674 * [taylor]: Taking taylor expansion of 1.0 in x 1.674 * [backup-simplify]: Simplify 1.0 into 1.0 1.674 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.674 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.674 * [taylor]: Taking taylor expansion of -1 in x 1.674 * [backup-simplify]: Simplify -1 into -1 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (/ -1 1) into -1 1.675 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.675 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.675 * [taylor]: Taking taylor expansion of -1 in x 1.675 * [backup-simplify]: Simplify -1 into -1 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (/ -1 1) into -1 1.676 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.676 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.676 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.676 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.676 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.677 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.677 * [taylor]: Taking taylor expansion of 1.0 in x 1.677 * [backup-simplify]: Simplify 1.0 into 1.0 1.677 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.677 * [taylor]: Taking taylor expansion of -1 in x 1.677 * [backup-simplify]: Simplify -1 into -1 1.677 * [taylor]: Taking taylor expansion of x in x 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (/ -1 1) into -1 1.677 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.677 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.677 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.677 * [taylor]: Taking taylor expansion of -1 in x 1.678 * [backup-simplify]: Simplify -1 into -1 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (/ -1 1) into -1 1.678 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.678 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.678 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.679 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.679 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.679 * [backup-simplify]: Simplify (- 0) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (- 0) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (- 0) into 0 1.684 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (- 0) into 0 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.686 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.687 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 1.688 * * * [progress]: simplifying candidates 1.690 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.692 * * [simplify]: iteration 0: 106 enodes 1.717 * * [simplify]: iteration 1: 240 enodes 1.786 * * [simplify]: iteration 2: 805 enodes 2.150 * * [simplify]: iteration complete: 5000 enodes 2.150 * * [simplify]: Extracting #0: cost 54 inf + 0 2.152 * * [simplify]: Extracting #1: cost 652 inf + 1 2.159 * * [simplify]: Extracting #2: cost 1793 inf + 46 2.170 * * [simplify]: Extracting #3: cost 2330 inf + 172 2.180 * * [simplify]: Extracting #4: cost 1698 inf + 3293 2.191 * * [simplify]: Extracting #5: cost 514 inf + 12904 2.205 * * [simplify]: Extracting #6: cost 4 inf + 19473 2.218 * * [simplify]: Extracting #7: cost 0 inf + 19530 2.226 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (sin x))) (cbrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (sin x)) (* (sin x) (+ 1.0 (cos x))) (+ (+ (* (pow x 4) -1/24) (* 1/2 (* x x))) (* (pow x 6) 1/720)) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/240 (pow x 5)) (* x (+ (* x (* x 1/24)) 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 2.226 * * * [progress]: adding candidates to table 2.401 * * [progress]: iteration 3 / 4 2.401 * * * [progress]: picking best candidate 2.479 * * * * [pick]: Picked # 2.479 * * * [progress]: localizing error 2.503 * * * [progress]: generating rewritten candidates 2.503 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 2.512 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.543 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.560 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.585 * * * [progress]: generating series expansions 2.585 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 2.586 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 2.586 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.586 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [backup-simplify]: Simplify 1.0 into 1.0 2.586 * [taylor]: Taking taylor expansion of (cos x) in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 1 into 1 2.586 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [backup-simplify]: Simplify 1.0 into 1.0 2.586 * [taylor]: Taking taylor expansion of (cos x) in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 1 into 1 2.587 * [backup-simplify]: Simplify (- 1) into -1 2.587 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify (+ 0) into 0 2.588 * [backup-simplify]: Simplify (- 0) into 0 2.588 * [backup-simplify]: Simplify (+ 0 0) into 0 2.588 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.590 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.590 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.590 * [backup-simplify]: Simplify 1/2 into 1/2 2.592 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.592 * [backup-simplify]: Simplify (- 0) into 0 2.592 * [backup-simplify]: Simplify (+ 0 0) into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.595 * [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 2.595 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.596 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.596 * [backup-simplify]: Simplify -1/24 into -1/24 2.598 * [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 2.599 * [backup-simplify]: Simplify (- 0) into 0 2.599 * [backup-simplify]: Simplify (+ 0 0) into 0 2.599 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.604 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.605 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.605 * [backup-simplify]: Simplify 1/720 into 1/720 2.605 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 2.606 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.606 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.606 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.606 * [taylor]: Taking taylor expansion of 1.0 in x 2.606 * [backup-simplify]: Simplify 1.0 into 1.0 2.606 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.606 * [taylor]: Taking taylor expansion of x in x 2.606 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify 1 into 1 2.606 * [backup-simplify]: Simplify (/ 1 1) into 1 2.606 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.606 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.606 * [taylor]: Taking taylor expansion of 1.0 in x 2.606 * [backup-simplify]: Simplify 1.0 into 1.0 2.607 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.607 * [taylor]: Taking taylor expansion of x in x 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 1 into 1 2.607 * [backup-simplify]: Simplify (/ 1 1) into 1 2.607 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.607 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.607 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.607 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.608 * [backup-simplify]: Simplify (- 0) into 0 2.608 * [backup-simplify]: Simplify (+ 0 0) into 0 2.608 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify (- 0) into 0 2.609 * [backup-simplify]: Simplify (+ 0 0) into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify (- 0) into 0 2.610 * [backup-simplify]: Simplify (+ 0 0) into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (- 0) into 0 2.611 * [backup-simplify]: Simplify (+ 0 0) into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify (- 0) into 0 2.611 * [backup-simplify]: Simplify (+ 0 0) into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify (- 0) into 0 2.612 * [backup-simplify]: Simplify (+ 0 0) into 0 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 2.612 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 2.612 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.612 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.612 * [taylor]: Taking taylor expansion of 1.0 in x 2.612 * [backup-simplify]: Simplify 1.0 into 1.0 2.612 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.612 * [taylor]: Taking taylor expansion of -1 in x 2.612 * [backup-simplify]: Simplify -1 into -1 2.612 * [taylor]: Taking taylor expansion of x in x 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify 1 into 1 2.613 * [backup-simplify]: Simplify (/ -1 1) into -1 2.613 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.613 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.613 * [taylor]: Taking taylor expansion of 1.0 in x 2.613 * [backup-simplify]: Simplify 1.0 into 1.0 2.613 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.613 * [taylor]: Taking taylor expansion of -1 in x 2.613 * [backup-simplify]: Simplify -1 into -1 2.613 * [taylor]: Taking taylor expansion of x in x 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify 1 into 1 2.613 * [backup-simplify]: Simplify (/ -1 1) into -1 2.613 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.613 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.613 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.613 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.614 * [backup-simplify]: Simplify (- 0) into 0 2.614 * [backup-simplify]: Simplify (+ 0 0) into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify (- 0) into 0 2.614 * [backup-simplify]: Simplify (+ 0 0) into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify (- 0) into 0 2.615 * [backup-simplify]: Simplify (+ 0 0) into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify (- 0) into 0 2.615 * [backup-simplify]: Simplify (+ 0 0) into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (- 0) into 0 2.616 * [backup-simplify]: Simplify (+ 0 0) into 0 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (- 0) into 0 2.616 * [backup-simplify]: Simplify (+ 0 0) into 0 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 2.616 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.617 * [backup-simplify]: Simplify (log (exp (/ (- 1.0 (cos x)) (sin x)))) into (/ (- 1.0 (cos x)) (sin x)) 2.617 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 2.617 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.617 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.617 * [taylor]: Taking taylor expansion of 1.0 in x 2.617 * [backup-simplify]: Simplify 1.0 into 1.0 2.617 * [taylor]: Taking taylor expansion of (cos x) in x 2.617 * [taylor]: Taking taylor expansion of x in x 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.617 * [taylor]: Taking taylor expansion of (sin x) in x 2.617 * [taylor]: Taking taylor expansion of x in x 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.617 * [backup-simplify]: Simplify (- 1) into -1 2.617 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.618 * [backup-simplify]: Simplify (+ 0) into 0 2.618 * [backup-simplify]: Simplify (- 0) into 0 2.618 * [backup-simplify]: Simplify (+ 0 0) into 0 2.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.619 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.619 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.620 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.620 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.620 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.620 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.620 * [taylor]: Taking taylor expansion of 1.0 in x 2.620 * [backup-simplify]: Simplify 1.0 into 1.0 2.620 * [taylor]: Taking taylor expansion of (cos x) in x 2.620 * [taylor]: Taking taylor expansion of x in x 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.620 * [taylor]: Taking taylor expansion of (sin x) in x 2.620 * [taylor]: Taking taylor expansion of x in x 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (- 1) into -1 2.621 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.621 * [backup-simplify]: Simplify (+ 0) into 0 2.621 * [backup-simplify]: Simplify (- 0) into 0 2.621 * [backup-simplify]: Simplify (+ 0 0) into 0 2.622 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.622 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.623 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.623 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.623 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.623 * [backup-simplify]: Simplify 1/2 into 1/2 2.624 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.625 * [backup-simplify]: Simplify (- 0) into 0 2.625 * [backup-simplify]: Simplify (+ 0 0) into 0 2.625 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.627 * [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 2.628 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.628 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.630 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 2.630 * [backup-simplify]: Simplify 1/24 into 1/24 2.631 * [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 2.633 * [backup-simplify]: Simplify (- 0) into 0 2.634 * [backup-simplify]: Simplify (+ 0 0) into 0 2.635 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 2.635 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.638 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.639 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.641 * [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 2.642 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/240 2.642 * [backup-simplify]: Simplify 1/240 into 1/240 2.642 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 2.642 * [backup-simplify]: Simplify (log (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.642 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 2.642 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.643 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.643 * [taylor]: Taking taylor expansion of 1.0 in x 2.643 * [backup-simplify]: Simplify 1.0 into 1.0 2.643 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (/ 1 1) into 1 2.643 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.643 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (/ 1 1) into 1 2.643 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.643 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.643 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.644 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.644 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.644 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.644 * [taylor]: Taking taylor expansion of 1.0 in x 2.644 * [backup-simplify]: Simplify 1.0 into 1.0 2.644 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.644 * [taylor]: Taking taylor expansion of x in x 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (/ 1 1) into 1 2.644 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.644 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.644 * [taylor]: Taking taylor expansion of x in x 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (/ 1 1) into 1 2.644 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.644 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.644 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.645 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.645 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.645 * [backup-simplify]: Simplify (- 0) into 0 2.645 * [backup-simplify]: Simplify (+ 0 0) into 0 2.645 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify (- 0) into 0 2.646 * [backup-simplify]: Simplify (+ 0 0) into 0 2.646 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify (- 0) into 0 2.647 * [backup-simplify]: Simplify (+ 0 0) into 0 2.647 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify (- 0) into 0 2.648 * [backup-simplify]: Simplify (+ 0 0) into 0 2.648 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.648 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify (- 0) into 0 2.649 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify (- 0) into 0 2.651 * [backup-simplify]: Simplify (+ 0 0) into 0 2.651 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 2.652 * [backup-simplify]: Simplify (log (exp (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.652 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 2.652 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.652 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.652 * [taylor]: Taking taylor expansion of 1.0 in x 2.652 * [backup-simplify]: Simplify 1.0 into 1.0 2.652 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.652 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.653 * [taylor]: Taking taylor expansion of -1 in x 2.653 * [backup-simplify]: Simplify -1 into -1 2.653 * [taylor]: Taking taylor expansion of x in x 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 1 into 1 2.653 * [backup-simplify]: Simplify (/ -1 1) into -1 2.653 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.653 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.653 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.653 * [taylor]: Taking taylor expansion of -1 in x 2.654 * [backup-simplify]: Simplify -1 into -1 2.654 * [taylor]: Taking taylor expansion of x in x 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 1 into 1 2.654 * [backup-simplify]: Simplify (/ -1 1) into -1 2.654 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.654 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.654 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.654 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.655 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.655 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.655 * [taylor]: Taking taylor expansion of 1.0 in x 2.655 * [backup-simplify]: Simplify 1.0 into 1.0 2.655 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.655 * [taylor]: Taking taylor expansion of -1 in x 2.655 * [backup-simplify]: Simplify -1 into -1 2.655 * [taylor]: Taking taylor expansion of x in x 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 1 into 1 2.655 * [backup-simplify]: Simplify (/ -1 1) into -1 2.655 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.655 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.655 * [taylor]: Taking taylor expansion of -1 in x 2.655 * [backup-simplify]: Simplify -1 into -1 2.655 * [taylor]: Taking taylor expansion of x in x 2.655 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify 1 into 1 2.656 * [backup-simplify]: Simplify (/ -1 1) into -1 2.656 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.656 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.656 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.656 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.657 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.657 * [backup-simplify]: Simplify (- 0) into 0 2.657 * [backup-simplify]: Simplify (+ 0 0) into 0 2.658 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (- 0) into 0 2.659 * [backup-simplify]: Simplify (+ 0 0) into 0 2.659 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.659 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify (- 0) into 0 2.660 * [backup-simplify]: Simplify (+ 0 0) into 0 2.661 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (- 0) into 0 2.662 * [backup-simplify]: Simplify (+ 0 0) into 0 2.662 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify (- 0) into 0 2.663 * [backup-simplify]: Simplify (+ 0 0) into 0 2.664 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify (- 0) into 0 2.665 * [backup-simplify]: Simplify (+ 0 0) into 0 2.665 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 2.666 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.666 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos x)) (sin x))) into (exp (/ (- 1.0 (cos x)) (sin x))) 2.666 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in (x) around 0 2.666 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 2.666 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.666 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.666 * [taylor]: Taking taylor expansion of 1.0 in x 2.666 * [backup-simplify]: Simplify 1.0 into 1.0 2.666 * [taylor]: Taking taylor expansion of (cos x) in x 2.666 * [taylor]: Taking taylor expansion of x in x 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [taylor]: Taking taylor expansion of (sin x) in x 2.666 * [taylor]: Taking taylor expansion of x in x 2.666 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify (- 1) into -1 2.668 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.668 * [backup-simplify]: Simplify (+ 0) into 0 2.669 * [backup-simplify]: Simplify (- 0) into 0 2.669 * [backup-simplify]: Simplify (+ 0 0) into 0 2.670 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.670 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.671 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.672 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.672 * [backup-simplify]: Simplify (exp 0) into 1 2.672 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos x)) (sin x))) in x 2.672 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.672 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.672 * [taylor]: Taking taylor expansion of 1.0 in x 2.672 * [backup-simplify]: Simplify 1.0 into 1.0 2.672 * [taylor]: Taking taylor expansion of (cos x) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 1 into 1 2.672 * [taylor]: Taking taylor expansion of (sin x) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 1 into 1 2.673 * [backup-simplify]: Simplify (- 1) into -1 2.673 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.674 * [backup-simplify]: Simplify (+ 0) into 0 2.674 * [backup-simplify]: Simplify (- 0) into 0 2.674 * [backup-simplify]: Simplify (+ 0 0) into 0 2.675 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.676 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.676 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.677 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.677 * [backup-simplify]: Simplify (exp 0) into 1 2.677 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 1) 1)))) into 1/2 2.679 * [backup-simplify]: Simplify 1/2 into 1/2 2.680 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.681 * [backup-simplify]: Simplify (- 0) into 0 2.681 * [backup-simplify]: Simplify (+ 0 0) into 0 2.682 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow 0 1) 1)))) into 1/8 2.684 * [backup-simplify]: Simplify 1/8 into 1/8 2.685 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) 2.685 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) into (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) 2.685 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in (x) around 0 2.685 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 2.685 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.685 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.685 * [taylor]: Taking taylor expansion of 1.0 in x 2.685 * [backup-simplify]: Simplify 1.0 into 1.0 2.685 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 1 into 1 2.686 * [backup-simplify]: Simplify (/ 1 1) into 1 2.686 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.686 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [backup-simplify]: Simplify (/ 1 1) into 1 2.686 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.686 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.686 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.687 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.687 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) into (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) 2.687 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) in x 2.687 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.687 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.687 * [taylor]: Taking taylor expansion of 1.0 in x 2.687 * [backup-simplify]: Simplify 1.0 into 1.0 2.687 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (/ 1 1) into 1 2.688 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.688 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (/ 1 1) into 1 2.688 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.688 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.688 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.689 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.689 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) into (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) 2.689 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) into (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) 2.689 * [backup-simplify]: Simplify (- 0) into 0 2.690 * [backup-simplify]: Simplify (+ 0 0) into 0 2.690 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 2.691 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify (- 0) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.692 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.694 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (- 0) into 0 2.695 * [backup-simplify]: Simplify (+ 0 0) into 0 2.695 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.697 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.697 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify (- 0) into 0 2.698 * [backup-simplify]: Simplify (+ 0 0) into 0 2.699 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.701 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify (- 0) into 0 2.702 * [backup-simplify]: Simplify (+ 0 0) into 0 2.703 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.705 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.705 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify (- 0) into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.706 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.709 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x))))) into (exp (/ (- 1.0 (cos x)) (sin x))) 2.710 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x))))) into (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) 2.710 * [approximate]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in (x) around 0 2.710 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 2.710 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.710 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.710 * [taylor]: Taking taylor expansion of 1.0 in x 2.710 * [backup-simplify]: Simplify 1.0 into 1.0 2.710 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.710 * [taylor]: Taking taylor expansion of -1 in x 2.710 * [backup-simplify]: Simplify -1 into -1 2.710 * [taylor]: Taking taylor expansion of x in x 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (/ -1 1) into -1 2.710 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.710 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.710 * [taylor]: Taking taylor expansion of -1 in x 2.710 * [backup-simplify]: Simplify -1 into -1 2.710 * [taylor]: Taking taylor expansion of x in x 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ -1 1) into -1 2.711 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.711 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.711 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.711 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.711 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) into (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) 2.711 * [taylor]: Taking taylor expansion of (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) in x 2.711 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.711 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.711 * [taylor]: Taking taylor expansion of 1.0 in x 2.711 * [backup-simplify]: Simplify 1.0 into 1.0 2.711 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.711 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.711 * [taylor]: Taking taylor expansion of -1 in x 2.711 * [backup-simplify]: Simplify -1 into -1 2.711 * [taylor]: Taking taylor expansion of x in x 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (/ -1 1) into -1 2.712 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.712 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.712 * [taylor]: Taking taylor expansion of -1 in x 2.712 * [backup-simplify]: Simplify -1 into -1 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (/ -1 1) into -1 2.712 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.712 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.712 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.712 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.713 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) into (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) 2.713 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) into (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) 2.713 * [backup-simplify]: Simplify (- 0) into 0 2.713 * [backup-simplify]: Simplify (+ 0 0) into 0 2.713 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 2.714 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (- 0) into 0 2.715 * [backup-simplify]: Simplify (+ 0 0) into 0 2.715 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.716 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify (- 0) into 0 2.716 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.717 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify (- 0) into 0 2.718 * [backup-simplify]: Simplify (+ 0 0) into 0 2.718 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.720 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (- 0) into 0 2.721 * [backup-simplify]: Simplify (+ 0 0) into 0 2.721 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.723 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify (- 0) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.728 * [backup-simplify]: Simplify (* (exp (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify (exp (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x)))))) into (exp (/ (- 1.0 (cos x)) (sin x))) 2.728 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.728 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 2.728 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 2.728 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.728 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.728 * [taylor]: Taking taylor expansion of 1.0 in x 2.728 * [backup-simplify]: Simplify 1.0 into 1.0 2.728 * [taylor]: Taking taylor expansion of (cos x) in x 2.728 * [taylor]: Taking taylor expansion of x in x 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.728 * [taylor]: Taking taylor expansion of (sin x) in x 2.728 * [taylor]: Taking taylor expansion of x in x 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (- 1) into -1 2.729 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.729 * [backup-simplify]: Simplify (+ 0) into 0 2.729 * [backup-simplify]: Simplify (- 0) into 0 2.730 * [backup-simplify]: Simplify (+ 0 0) into 0 2.730 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.730 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.731 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.731 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.731 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.731 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.731 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.731 * [taylor]: Taking taylor expansion of 1.0 in x 2.731 * [backup-simplify]: Simplify 1.0 into 1.0 2.732 * [taylor]: Taking taylor expansion of (cos x) in x 2.732 * [taylor]: Taking taylor expansion of x in x 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [taylor]: Taking taylor expansion of (sin x) in x 2.732 * [taylor]: Taking taylor expansion of x in x 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (- 1) into -1 2.732 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.733 * [backup-simplify]: Simplify (+ 0) into 0 2.733 * [backup-simplify]: Simplify (- 0) into 0 2.733 * [backup-simplify]: Simplify (+ 0 0) into 0 2.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.734 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.735 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.735 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.735 * [backup-simplify]: Simplify 1/2 into 1/2 2.736 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.737 * [backup-simplify]: Simplify (- 0) into 0 2.737 * [backup-simplify]: Simplify (+ 0 0) into 0 2.737 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.739 * [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 2.739 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.740 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.741 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 2.741 * [backup-simplify]: Simplify 1/24 into 1/24 2.743 * [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 2.743 * [backup-simplify]: Simplify (- 0) into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.749 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.749 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.751 * [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 2.753 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/240 2.753 * [backup-simplify]: Simplify 1/240 into 1/240 2.753 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 2.753 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.753 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 2.753 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.753 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.753 * [taylor]: Taking taylor expansion of 1.0 in x 2.753 * [backup-simplify]: Simplify 1.0 into 1.0 2.753 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (/ 1 1) into 1 2.754 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.754 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.754 * [taylor]: Taking taylor expansion of x in x 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (/ 1 1) into 1 2.754 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.754 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.754 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.754 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.754 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.754 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.754 * [taylor]: Taking taylor expansion of 1.0 in x 2.754 * [backup-simplify]: Simplify 1.0 into 1.0 2.754 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.754 * [taylor]: Taking taylor expansion of x in x 2.754 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (/ 1 1) into 1 2.755 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.755 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.755 * [taylor]: Taking taylor expansion of x in x 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (/ 1 1) into 1 2.755 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.755 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.755 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.755 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.756 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.756 * [backup-simplify]: Simplify (- 0) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify (- 0) into 0 2.757 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (- 0) into 0 2.758 * [backup-simplify]: Simplify (+ 0 0) into 0 2.758 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (- 0) into 0 2.759 * [backup-simplify]: Simplify (+ 0 0) into 0 2.759 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify (- 0) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.760 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify (- 0) into 0 2.761 * [backup-simplify]: Simplify (+ 0 0) into 0 2.761 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 2.761 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.761 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 2.761 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.761 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.761 * [taylor]: Taking taylor expansion of 1.0 in x 2.761 * [backup-simplify]: Simplify 1.0 into 1.0 2.761 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.762 * [taylor]: Taking taylor expansion of -1 in x 2.762 * [backup-simplify]: Simplify -1 into -1 2.762 * [taylor]: Taking taylor expansion of x in x 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (/ -1 1) into -1 2.762 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.762 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.762 * [taylor]: Taking taylor expansion of -1 in x 2.762 * [backup-simplify]: Simplify -1 into -1 2.762 * [taylor]: Taking taylor expansion of x in x 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (/ -1 1) into -1 2.762 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.762 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.763 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.763 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.763 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.763 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.763 * [taylor]: Taking taylor expansion of 1.0 in x 2.763 * [backup-simplify]: Simplify 1.0 into 1.0 2.763 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.763 * [taylor]: Taking taylor expansion of -1 in x 2.763 * [backup-simplify]: Simplify -1 into -1 2.763 * [taylor]: Taking taylor expansion of x in x 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 1 into 1 2.763 * [backup-simplify]: Simplify (/ -1 1) into -1 2.763 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.763 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.763 * [taylor]: Taking taylor expansion of -1 in x 2.763 * [backup-simplify]: Simplify -1 into -1 2.763 * [taylor]: Taking taylor expansion of x in x 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (/ -1 1) into -1 2.764 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.764 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.764 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.764 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.764 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.764 * [backup-simplify]: Simplify (- 0) into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (- 0) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify (- 0) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.766 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (- 0) into 0 2.767 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (- 0) into 0 2.768 * [backup-simplify]: Simplify (+ 0 0) into 0 2.768 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify (- 0) into 0 2.769 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 2.769 * * * [progress]: simplifying candidates 2.771 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log 1) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ 1.0 (sin x)))) (log (exp (/ (cos x) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))))) (log (exp (sqrt (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))))) (log (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1))) (log (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))))) (log (exp (/ (sqrt (- 1.0 (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))))) (log (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1))) (log (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))))) (log (exp (/ 1 (sqrt (sin x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- 1.0 (cos x)))) (log (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x)))))) (cbrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (* (* (log (exp (/ (- 1.0 (cos x)) (sin x)))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (sqrt (log (exp (/ (- 1.0 (cos x)) (sin x))))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x)))) (exp (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (/ (sqrt (- 1.0 (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x)))) (exp (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) (exp (/ 1 1)) (exp 1) (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (log (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (* (* (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x)))) (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 2.772 * * [simplify]: iteration 0: 163 enodes 2.803 * * [simplify]: iteration 1: 318 enodes 2.875 * * [simplify]: iteration 2: 962 enodes 3.200 * * [simplify]: iteration complete: 5000 enodes 3.200 * * [simplify]: Extracting #0: cost 80 inf + 0 3.202 * * [simplify]: Extracting #1: cost 685 inf + 3 3.210 * * [simplify]: Extracting #2: cost 1717 inf + 26 3.229 * * [simplify]: Extracting #3: cost 2137 inf + 213 3.242 * * [simplify]: Extracting #4: cost 1420 inf + 3791 3.255 * * [simplify]: Extracting #5: cost 547 inf + 10030 3.268 * * [simplify]: Extracting #6: cost 29 inf + 16973 3.281 * * [simplify]: Extracting #7: cost 0 inf + 17458 3.295 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* 2 (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))))) (log (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) (log (sqrt (exp (/ (- 1.0 (cos x)) (sin x))))) 0 (/ (- 1.0 (cos x)) (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (* (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x)))) (* (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt (sin x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) 1 1 (- 1.0 (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (exp (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x))))) (exp (sqrt (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x)))) (pow (exp (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x)))) (cbrt (- 1.0 (cos x)))) (pow (exp (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (exp (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x)))) (exp (sqrt (- 1.0 (cos x)))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E (exp (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt (sin x)))) (exp (+ (sqrt (cos x)) (sqrt 1.0))) (exp (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) (exp (/ 1 (sqrt (sin x)))) E E (exp (- 1.0 (cos x))) (exp (/ 1.0 (sin x))) (exp (/ (cos x) (sin x))) (/ (- 1.0 (cos x)) (sin x)) (exp (exp (/ (- 1.0 (cos x)) (sin x)))) (* (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x))))) (cbrt (exp (/ (- 1.0 (cos x)) (sin x)))) (pow (exp (/ (- 1.0 (cos x)) (sin x))) 3) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (sqrt (exp (/ (- 1.0 (cos x)) (sin x)))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (+ (cos x) (- 1.0)) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (* (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (/ (- 1.0 (cos x)) (cbrt (sin x))) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (sin x)) (* (sin x) (+ (cos x) 1.0)) (- (+ (* 1/2 (* x x)) (* (pow x 6) 1/720)) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* x 1/2) (+ (* (pow x 3) 1/24) (* 1/240 (pow x 5)))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* x (+ (* 1/8 x) 1/2)) 1) (exp (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (+ (* x 1/2) (+ (* (pow x 3) 1/24) (* 1/240 (pow x 5)))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 3.296 * * * [progress]: adding candidates to table 3.918 * * [progress]: iteration 4 / 4 3.918 * * * [progress]: picking best candidate 4.043 * * * * [pick]: Picked # 4.043 * * * [progress]: localizing error 4.071 * * * [progress]: generating rewritten candidates 4.071 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 4.080 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 4.130 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 4.144 * * * [progress]: generating series expansions 4.144 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 4.144 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 4.144 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.144 * [taylor]: Taking taylor expansion of 1.0 in x 4.144 * [backup-simplify]: Simplify 1.0 into 1.0 4.144 * [taylor]: Taking taylor expansion of (cos x) in x 4.144 * [taylor]: Taking taylor expansion of x in x 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.144 * [taylor]: Taking taylor expansion of 1.0 in x 4.144 * [backup-simplify]: Simplify 1.0 into 1.0 4.144 * [taylor]: Taking taylor expansion of (cos x) in x 4.144 * [taylor]: Taking taylor expansion of x in x 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (- 1) into -1 4.145 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify (+ 0) into 0 4.146 * [backup-simplify]: Simplify (- 0) into 0 4.147 * [backup-simplify]: Simplify (+ 0 0) into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.148 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.148 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.149 * [backup-simplify]: Simplify 1/2 into 1/2 4.150 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.150 * [backup-simplify]: Simplify (- 0) into 0 4.155 * [backup-simplify]: Simplify (+ 0 0) into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.158 * [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 4.158 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.159 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.159 * [backup-simplify]: Simplify -1/24 into -1/24 4.161 * [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 4.161 * [backup-simplify]: Simplify (- 0) into 0 4.162 * [backup-simplify]: Simplify (+ 0 0) into 0 4.162 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 4.165 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.166 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.166 * [backup-simplify]: Simplify 1/720 into 1/720 4.166 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 4.166 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.166 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.166 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.166 * [taylor]: Taking taylor expansion of 1.0 in x 4.166 * [backup-simplify]: Simplify 1.0 into 1.0 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 x in x 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (/ 1 1) into 1 4.167 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.167 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.167 * [taylor]: Taking taylor expansion of 1.0 in x 4.167 * [backup-simplify]: Simplify 1.0 into 1.0 4.167 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 4.167 * [backup-simplify]: Simplify (/ 1 1) into 1 4.167 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.167 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.167 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.168 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.168 * [backup-simplify]: Simplify (- 0) into 0 4.168 * [backup-simplify]: Simplify (+ 0 0) into 0 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify (- 0) into 0 4.169 * [backup-simplify]: Simplify (+ 0 0) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (- 0) into 0 4.169 * [backup-simplify]: Simplify (+ 0 0) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (- 0) into 0 4.170 * [backup-simplify]: Simplify (+ 0 0) into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (- 0) into 0 4.170 * [backup-simplify]: Simplify (+ 0 0) into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (- 0) into 0 4.171 * [backup-simplify]: Simplify (+ 0 0) into 0 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 4.171 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 4.171 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.171 * [taylor]: Taking taylor expansion of 1.0 in x 4.171 * [backup-simplify]: Simplify 1.0 into 1.0 4.171 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.171 * [taylor]: Taking taylor expansion of -1 in x 4.171 * [backup-simplify]: Simplify -1 into -1 4.171 * [taylor]: Taking taylor expansion of x in x 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (/ -1 1) into -1 4.171 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.171 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.171 * [taylor]: Taking taylor expansion of 1.0 in x 4.171 * [backup-simplify]: Simplify 1.0 into 1.0 4.171 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.171 * [taylor]: Taking taylor expansion of -1 in x 4.171 * [backup-simplify]: Simplify -1 into -1 4.171 * [taylor]: Taking taylor expansion of x in x 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (/ -1 1) into -1 4.172 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.172 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.172 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.172 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 4.172 * [backup-simplify]: Simplify (- 0) into 0 4.172 * [backup-simplify]: Simplify (+ 0 0) into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify (- 0) into 0 4.173 * [backup-simplify]: Simplify (+ 0 0) into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify (- 0) into 0 4.173 * [backup-simplify]: Simplify (+ 0 0) into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify (- 0) into 0 4.174 * [backup-simplify]: Simplify (+ 0 0) into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify (- 0) into 0 4.174 * [backup-simplify]: Simplify (+ 0 0) into 0 4.174 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify (- 0) into 0 4.175 * [backup-simplify]: Simplify (+ 0 0) into 0 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 4.175 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.175 * [backup-simplify]: Simplify (* (/ 1 (sin x)) (- 1.0 (cos x))) into (/ (- 1.0 (cos x)) (sin x)) 4.175 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 4.175 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.175 * [taylor]: Taking taylor expansion of 1.0 in x 4.175 * [backup-simplify]: Simplify 1.0 into 1.0 4.175 * [taylor]: Taking taylor expansion of (cos x) in x 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 4.175 * [taylor]: Taking taylor expansion of (sin x) in x 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) into -1 4.176 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.176 * [backup-simplify]: Simplify (+ 0) into 0 4.176 * [backup-simplify]: Simplify (- 0) into 0 4.177 * [backup-simplify]: Simplify (+ 0 0) into 0 4.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.177 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.178 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.178 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.178 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.178 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.178 * [taylor]: Taking taylor expansion of 1.0 in x 4.179 * [backup-simplify]: Simplify 1.0 into 1.0 4.179 * [taylor]: Taking taylor expansion of (cos x) in x 4.179 * [taylor]: Taking taylor expansion of x in x 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [taylor]: Taking taylor expansion of (sin x) in x 4.179 * [taylor]: Taking taylor expansion of x in x 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [backup-simplify]: Simplify (- 1) into -1 4.179 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.179 * [backup-simplify]: Simplify (+ 0) into 0 4.180 * [backup-simplify]: Simplify (- 0) into 0 4.180 * [backup-simplify]: Simplify (+ 0 0) into 0 4.181 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.181 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.182 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.183 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.183 * [backup-simplify]: Simplify 1/2 into 1/2 4.184 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.185 * [backup-simplify]: Simplify (- 0) into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.186 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.189 * [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 4.190 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.190 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.193 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 4.193 * [backup-simplify]: Simplify 1/24 into 1/24 4.195 * [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 4.195 * [backup-simplify]: Simplify (- 0) into 0 4.196 * [backup-simplify]: Simplify (+ 0 0) into 0 4.197 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 4.199 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 4.204 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.204 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.207 * [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 4.209 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/240 4.209 * [backup-simplify]: Simplify 1/240 into 1/240 4.209 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 4.209 * [backup-simplify]: Simplify (* (/ 1 (sin (/ 1 x))) (- 1.0 (cos (/ 1 x)))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 4.209 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 4.209 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.209 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.209 * [taylor]: Taking taylor expansion of 1.0 in x 4.209 * [backup-simplify]: Simplify 1.0 into 1.0 4.209 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.209 * [taylor]: Taking taylor expansion of x in x 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (/ 1 1) into 1 4.210 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.210 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.210 * [taylor]: Taking taylor expansion of x in x 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (/ 1 1) into 1 4.210 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.210 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.210 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.210 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 4.210 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.210 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.210 * [taylor]: Taking taylor expansion of 1.0 in x 4.210 * [backup-simplify]: Simplify 1.0 into 1.0 4.210 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.211 * [taylor]: Taking taylor expansion of x in x 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (/ 1 1) into 1 4.211 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.211 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.211 * [taylor]: Taking taylor expansion of x in x 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (/ 1 1) into 1 4.211 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.211 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.211 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.211 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 4.212 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 4.212 * [backup-simplify]: Simplify (- 0) into 0 4.212 * [backup-simplify]: Simplify (+ 0 0) into 0 4.212 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 4.212 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify (- 0) into 0 4.213 * [backup-simplify]: Simplify (+ 0 0) into 0 4.213 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify (- 0) into 0 4.214 * [backup-simplify]: Simplify (+ 0 0) into 0 4.214 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify (- 0) into 0 4.215 * [backup-simplify]: Simplify (+ 0 0) into 0 4.215 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (- 0) into 0 4.216 * [backup-simplify]: Simplify (+ 0 0) into 0 4.217 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (- 0) into 0 4.218 * [backup-simplify]: Simplify (+ 0 0) into 0 4.219 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 4.219 * [backup-simplify]: Simplify (* (/ 1 (sin (/ 1 (- x)))) (- 1.0 (cos (/ 1 (- x))))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 4.219 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 4.219 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.219 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.219 * [taylor]: Taking taylor expansion of 1.0 in x 4.219 * [backup-simplify]: Simplify 1.0 into 1.0 4.219 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.219 * [taylor]: Taking taylor expansion of -1 in x 4.219 * [backup-simplify]: Simplify -1 into -1 4.219 * [taylor]: Taking taylor expansion of x in x 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (/ -1 1) into -1 4.220 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.220 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.220 * [taylor]: Taking taylor expansion of -1 in x 4.220 * [backup-simplify]: Simplify -1 into -1 4.220 * [taylor]: Taking taylor expansion of x in x 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.221 * [backup-simplify]: Simplify (/ -1 1) into -1 4.221 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.221 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.221 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.221 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 4.221 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.221 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.221 * [taylor]: Taking taylor expansion of 1.0 in x 4.221 * [backup-simplify]: Simplify 1.0 into 1.0 4.221 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.221 * [taylor]: Taking taylor expansion of -1 in x 4.221 * [backup-simplify]: Simplify -1 into -1 4.221 * [taylor]: Taking taylor expansion of x in x 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (/ -1 1) into -1 4.222 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.222 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.222 * [taylor]: Taking taylor expansion of -1 in x 4.222 * [backup-simplify]: Simplify -1 into -1 4.222 * [taylor]: Taking taylor expansion of x in x 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (/ -1 1) into -1 4.223 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.223 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.223 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.223 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 4.223 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 4.224 * [backup-simplify]: Simplify (- 0) into 0 4.224 * [backup-simplify]: Simplify (+ 0 0) into 0 4.224 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify (- 0) into 0 4.225 * [backup-simplify]: Simplify (+ 0 0) into 0 4.225 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 4.225 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (- 0) into 0 4.226 * [backup-simplify]: Simplify (+ 0 0) into 0 4.227 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify (- 0) into 0 4.227 * [backup-simplify]: Simplify (+ 0 0) into 0 4.228 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify (- 0) into 0 4.229 * [backup-simplify]: Simplify (+ 0 0) into 0 4.229 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify (- 0) into 0 4.230 * [backup-simplify]: Simplify (+ 0 0) into 0 4.231 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 4.231 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 4.231 * [backup-simplify]: Simplify (/ 1 (sin x)) into (/ 1 (sin x)) 4.232 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 4.232 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 4.232 * [taylor]: Taking taylor expansion of (sin x) in x 4.232 * [taylor]: Taking taylor expansion of x in x 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.233 * [backup-simplify]: Simplify (/ 1 1) into 1 4.233 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 4.233 * [taylor]: Taking taylor expansion of (sin x) in x 4.233 * [taylor]: Taking taylor expansion of x in x 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.234 * [backup-simplify]: Simplify (/ 1 1) into 1 4.234 * [backup-simplify]: Simplify 1 into 1 4.235 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.236 * [backup-simplify]: Simplify 0 into 0 4.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6 4.238 * [backup-simplify]: Simplify 1/6 into 1/6 4.239 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify 0 into 0 4.244 * [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 4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360 4.246 * [backup-simplify]: Simplify 7/360 into 7/360 4.246 * [backup-simplify]: Simplify (+ (* 7/360 (pow x 3)) (+ (* 1/6 x) (* 1 (/ 1 x)))) into (+ (* 1/6 x) (+ (* 7/360 (pow x 3)) (/ 1 x))) 4.246 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 4.246 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 4.246 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 4.246 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.247 * [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 (sin (/ 1 x)) into (sin (/ 1 x)) 4.247 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 4.247 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 4.247 * [taylor]: Taking taylor expansion of (sin (/ 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 4.248 * [backup-simplify]: Simplify (/ 1 1) into 1 4.248 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.248 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 4.248 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 4.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 (/ 1 x)))) into (/ 1 (sin x)) 4.250 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 (- x)))) into (/ 1 (sin (/ -1 x))) 4.250 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 4.250 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 4.250 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.250 * [taylor]: Taking taylor expansion of -1 in x 4.250 * [backup-simplify]: Simplify -1 into -1 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 (sin (/ -1 x)) into (sin (/ -1 x)) 4.250 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) 4.250 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 4.250 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.250 * [taylor]: Taking taylor expansion of -1 in x 4.250 * [backup-simplify]: Simplify -1 into -1 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 4.251 * [backup-simplify]: Simplify (/ -1 1) into -1 4.251 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.251 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) 4.251 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) 4.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 4.251 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 4.252 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 (/ 1 (- x))))) into (/ 1 (sin x)) 4.253 * * * [progress]: simplifying candidates 4.255 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* (/ 1 (sin x)) (- 1.0 (cos x))) (+ (- (log (sin x))) (log (- 1.0 (cos x)))) (+ (- 0 (log (sin x))) (log (- 1.0 (cos x)))) (+ (- (log 1) (log (sin x))) (log (- 1.0 (cos x)))) (+ (log (/ 1 (sin x))) (log (- 1.0 (cos x)))) (log (* (/ 1 (sin x)) (- 1.0 (cos x)))) (exp (* (/ 1 (sin x)) (- 1.0 (cos x)))) (* (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (cbrt (* (/ 1 (sin x)) (- 1.0 (cos x)))) (cbrt (* (/ 1 (sin x)) (- 1.0 (cos x))))) (cbrt (* (/ 1 (sin x)) (- 1.0 (cos x)))) (* (* (* (/ 1 (sin x)) (- 1.0 (cos x))) (* (/ 1 (sin x)) (- 1.0 (cos x)))) (* (/ 1 (sin x)) (- 1.0 (cos x)))) (sqrt (* (/ 1 (sin x)) (- 1.0 (cos x)))) (sqrt (* (/ 1 (sin x)) (- 1.0 (cos x)))) (* 1 (- (pow 1.0 3) (pow (cos x) 3))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* 1 (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (sin x) (+ 1.0 (cos x))) (* (sqrt (/ 1 (sin x))) (sqrt (- 1.0 (cos x)))) (* (sqrt (/ 1 (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt 1) (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ (sqrt 1) (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ 1 (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ 1 (sqrt (sin x))) (sqrt (- 1.0 (cos x)))) (* (/ 1 (sin x)) 1.0) (* (/ 1 (sin x)) (- (cos x))) (* (/ 1 (sin x)) 1.0) (* (/ 1 (sin x)) (- (cos x))) (* 1.0 (/ 1 (sin x))) (* (- (cos x)) (/ 1 (sin x))) (* 1.0 (/ 1 (sin x))) (* (- (cos x)) (/ 1 (sin x))) (* (/ 1 (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (/ 1 (sin x)) (sqrt (- 1.0 (cos x)))) (* (/ 1 (sin x)) 1) (* (/ 1 (sin x)) (+ (sqrt 1.0) (sqrt (cos x)))) (* (/ 1 (sin x)) 1) (* (cbrt (/ 1 (sin x))) (- 1.0 (cos x))) (* (sqrt (/ 1 (sin x))) (- 1.0 (cos x))) (* (/ (cbrt 1) (cbrt (sin x))) (- 1.0 (cos x))) (* (/ (cbrt 1) (sqrt (sin x))) (- 1.0 (cos x))) (* (/ (cbrt 1) (sin x)) (- 1.0 (cos x))) (* (/ (sqrt 1) (cbrt (sin x))) (- 1.0 (cos x))) (* (/ (sqrt 1) (sqrt (sin x))) (- 1.0 (cos x))) (* (/ (sqrt 1) (sin x)) (- 1.0 (cos x))) (* (/ 1 (cbrt (sin x))) (- 1.0 (cos x))) (* (/ 1 (sqrt (sin x))) (- 1.0 (cos x))) (* (/ 1 (sin x)) (- 1.0 (cos x))) (* (/ 1 (sin x)) (- 1.0 (cos x))) (* (/ 1 (sin x)) (- 1.0 (cos x))) (* (/ 1 (sin x)) (- (pow 1.0 3) (pow (cos x) 3))) (* (/ 1 (sin x)) (- (* 1.0 1.0) (* (cos x) (cos x)))) (* 1 (- 1.0 (cos x))) (- 1) (- (log (sin x))) (- 0 (log (sin x))) (- (log 1) (log (sin x))) (log (/ 1 (sin x))) (exp (/ 1 (sin x))) (/ (* (* 1 1) 1) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (* (* (/ 1 (sin x)) (/ 1 (sin x))) (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) (- 1) (- (sin x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt 1) (cbrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sin x))) (/ (cbrt 1) (sqrt (sin x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sin x)) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt 1) (cbrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) (sqrt (sin x))) (/ (sqrt 1) 1) (/ (sqrt 1) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ 1 (sin x)) (/ 1 (sin x)) (/ (sin x) 1) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (sqrt (sin x))) (/ 1 1) (/ (sin x) (cbrt 1)) (/ (sin x) (sqrt 1)) (/ (sin x) 1) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (* 1/6 x) (+ (* 7/360 (pow x 3)) (/ 1 x))) (/ 1 (sin x)) (/ 1 (sin x)) 4.256 * * [simplify]: iteration 0: 150 enodes 4.293 * * [simplify]: iteration 1: 380 enodes 4.533 * * [simplify]: iteration 2: 2400 enodes 5.871 * * [simplify]: iteration complete: 5004 enodes 5.871 * * [simplify]: Extracting #0: cost 54 inf + 0 5.873 * * [simplify]: Extracting #1: cost 398 inf + 2 5.877 * * [simplify]: Extracting #2: cost 1137 inf + 35 5.881 * * [simplify]: Extracting #3: cost 582 inf + 6169 5.885 * * [simplify]: Extracting #4: cost 110 inf + 10562 5.890 * * [simplify]: Extracting #5: cost 30 inf + 11153 5.894 * * [simplify]: Extracting #6: cost 5 inf + 11291 5.899 * * [simplify]: Extracting #7: cost 0 inf + 11316 5.903 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (/ (- 1.0 (cos x)) (sin x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (pow 1.0 3) (pow (cos x) 3)) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (sin x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (* (sin x) (+ 1.0 (cos x))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (* (sqrt (- 1.0 (cos x))) (sqrt (/ 1 (sin x)))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1.0 (sin x)) (- (/ (cos x) (sin x))) (/ 1.0 (sin x)) (- (/ (cos x) (sin x))) (/ 1.0 (sin x)) (- (/ (cos x) (sin x))) (/ 1.0 (sin x)) (- (/ (cos x) (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (sin x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sin x)) (/ 1 (sin x)) (* (- 1.0 (cos x)) (cbrt (/ 1 (sin x)))) (* (sqrt (/ 1 (sin x))) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) (- 1.0 (cos x)) -1 (- (log (sin x))) (- (log (sin x))) (- (log (sin x))) (- (log (sin x))) (exp (/ 1 (sin x))) (pow (/ 1 (sin x)) 3) (* (cbrt (/ 1 (sin x))) (cbrt (/ 1 (sin x)))) (cbrt (/ 1 (sin x))) (pow (/ 1 (sin x)) 3) (sqrt (/ 1 (sin x))) (sqrt (/ 1 (sin x))) -1 (- (sin x)) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ 1 (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ 1 (sqrt (sin x))) 1 (/ 1 (sin x)) (/ 1 (sin x)) (sin x) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) 1 (sin x) (sin x) (sin x) (+ (* (pow x 6) 1/720) (- (* 1/2 (* x x)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (+ (* (pow x 3) 1/24) (* (pow x 5) 1/240)) (* 1/2 x)) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (+ (* x 1/6) (* (pow x 3) 7/360)) (/ 1 x)) (/ 1 (sin x)) (/ 1 (sin x)) 5.904 * * * [progress]: adding candidates to table 6.196 * [progress]: [Phase 3 of 3] Extracting. 6.196 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 6.201 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 6.201 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # # # #) 6.340 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # #) 6.396 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # #) 6.526 * * * [regime]: Found split indices: #