24.949 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.217 * * * [progress]: [2/2] Setting up program. 0.224 * [progress]: [Phase 2 of 3] Improving. 0.224 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (sin x)) 0.224 * * [simplify]: iteration 0: 6 enodes 0.226 * * [simplify]: iteration 1: 11 enodes 0.228 * * [simplify]: iteration 2: 14 enodes 0.232 * * [simplify]: iteration 3: 16 enodes 0.235 * * [simplify]: iteration complete: 16 enodes 0.235 * * [simplify]: Extracting #0: cost 1 inf + 0 0.235 * * [simplify]: Extracting #1: cost 6 inf + 0 0.235 * * [simplify]: Extracting #2: cost 10 inf + 0 0.235 * * [simplify]: Extracting #3: cost 3 inf + 587 0.235 * * [simplify]: Extracting #4: cost 0 inf + 993 0.236 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.237 * * [progress]: iteration 1 / 4 0.237 * * * [progress]: picking best candidate 0.243 * * * * [pick]: Picked # 0.243 * * * [progress]: localizing error 0.262 * * * [progress]: generating rewritten candidates 0.262 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.269 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.286 * * * [progress]: generating series expansions 0.286 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.286 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.286 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [backup-simplify]: Simplify 1.0 into 1.0 0.286 * [taylor]: Taking taylor expansion of (cos x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [backup-simplify]: Simplify 1.0 into 1.0 0.287 * [taylor]: Taking taylor expansion of (cos x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (- 1) into -1 0.308 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ 0) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.311 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.311 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.311 * [backup-simplify]: Simplify 1/2 into 1/2 0.313 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.316 * [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 0.316 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.317 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.317 * [backup-simplify]: Simplify -1/24 into -1/24 0.323 * [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 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.329 * [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 0.329 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.330 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.330 * [backup-simplify]: Simplify 1/720 into 1/720 0.331 * [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))) 0.331 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.331 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [backup-simplify]: Simplify 1.0 into 1.0 0.331 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [backup-simplify]: Simplify 1.0 into 1.0 0.332 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.333 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.333 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.333 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.338 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.338 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [backup-simplify]: Simplify 1.0 into 1.0 0.338 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.338 * [taylor]: Taking taylor expansion of -1 in x 0.338 * [backup-simplify]: Simplify -1 into -1 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ -1 1) into -1 0.339 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [backup-simplify]: Simplify 1.0 into 1.0 0.339 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.339 * [taylor]: Taking taylor expansion of -1 in x 0.339 * [backup-simplify]: Simplify -1 into -1 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ -1 1) into -1 0.340 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.340 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.340 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.340 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.345 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.345 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 0.346 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.346 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [backup-simplify]: Simplify 1.0 into 1.0 0.346 * [taylor]: Taking taylor expansion of (cos x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [taylor]: Taking taylor expansion of (sin x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (- 1) into -1 0.347 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.347 * [backup-simplify]: Simplify (+ 0) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.349 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.350 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.350 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.351 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.351 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [backup-simplify]: Simplify 1.0 into 1.0 0.351 * [taylor]: Taking taylor expansion of (cos x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of (sin x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (- 1) into -1 0.352 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.352 * [backup-simplify]: Simplify (+ 0) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.354 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.355 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.355 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.356 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.356 * [backup-simplify]: Simplify 1/2 into 1/2 0.357 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.362 * [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 0.363 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.363 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.367 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 0.367 * [backup-simplify]: Simplify 1/24 into 1/24 0.369 * [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 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.378 * [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 0.379 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.379 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.382 * [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 0.385 * [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 0.385 * [backup-simplify]: Simplify 1/240 into 1/240 0.385 * [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)))) 0.386 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.386 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.386 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [backup-simplify]: Simplify 1.0 into 1.0 0.386 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.386 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.387 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.387 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.387 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.387 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.388 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.388 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.389 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.389 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.389 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.390 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (- 0) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [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 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [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 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [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 0.395 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (- 0) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [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 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [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 0.398 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 0.399 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.399 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.399 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.399 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [backup-simplify]: Simplify 1.0 into 1.0 0.399 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.399 * [taylor]: Taking taylor expansion of -1 in x 0.399 * [backup-simplify]: Simplify -1 into -1 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ -1 1) into -1 0.400 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.400 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [backup-simplify]: Simplify -1 into -1 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ -1 1) into -1 0.401 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.401 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.401 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.401 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.401 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [backup-simplify]: Simplify 1.0 into 1.0 0.401 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.401 * [taylor]: Taking taylor expansion of -1 in x 0.401 * [backup-simplify]: Simplify -1 into -1 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (/ -1 1) into -1 0.402 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.402 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.402 * [taylor]: Taking taylor expansion of -1 in x 0.402 * [backup-simplify]: Simplify -1 into -1 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (/ -1 1) into -1 0.403 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.403 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.403 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.403 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.403 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [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 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [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 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [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 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [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 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (- 0) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [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 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 0.412 * * * [progress]: simplifying candidates 0.414 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (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)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 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)) 0.417 * * [simplify]: iteration 0: 134 enodes 0.447 * * [simplify]: iteration 1: 309 enodes 0.570 * * [simplify]: iteration 2: 1211 enodes 1.238 * * [simplify]: iteration complete: 5001 enodes 1.238 * * [simplify]: Extracting #0: cost 60 inf + 0 1.242 * * [simplify]: Extracting #1: cost 798 inf + 2 1.252 * * [simplify]: Extracting #2: cost 1625 inf + 8361 1.287 * * [simplify]: Extracting #3: cost 1101 inf + 130849 1.343 * * [simplify]: Extracting #4: cost 238 inf + 320394 1.399 * * [simplify]: Extracting #5: cost 12 inf + 369394 1.472 * * [simplify]: Extracting #6: cost 0 inf + 372670 1.545 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) 0 (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) 0 (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (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))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))) (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0)) (- (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)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 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))) (* (/ (- 1.0 (cos x)) (sin x)) (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 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))) (* (/ (- 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 (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 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))) (/ (- (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))) (* (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0)) (sin x)) (* (sin x) (+ 1.0 (cos x))) (fma 1/720 (* (* x x) (* (* x x) (* x x))) (fma 1/2 (* x x) (* (* (* x x) (* x x)) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 5) 1/240 (* x (+ (* (* x x) 1/24) 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.552 * * * [progress]: adding candidates to table 1.839 * * [progress]: iteration 2 / 4 1.839 * * * [progress]: picking best candidate 1.949 * * * * [pick]: Picked # 1.949 * * * [progress]: localizing error 1.988 * * * [progress]: generating rewritten candidates 1.988 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.999 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.010 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.020 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.041 * * * [progress]: generating series expansions 2.041 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.041 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 2.041 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.041 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.041 * [taylor]: Taking taylor expansion of 1.0 in x 2.041 * [backup-simplify]: Simplify 1.0 into 1.0 2.041 * [taylor]: Taking taylor expansion of (cos x) in x 2.041 * [taylor]: Taking taylor expansion of x in x 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.041 * [taylor]: Taking taylor expansion of 1.0 in x 2.041 * [backup-simplify]: Simplify 1.0 into 1.0 2.041 * [taylor]: Taking taylor expansion of (cos x) in x 2.041 * [taylor]: Taking taylor expansion of x in x 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (- 1) into -1 2.042 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ 0) into 0 2.043 * [backup-simplify]: Simplify (- 0) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.044 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.045 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.045 * [backup-simplify]: Simplify 1/2 into 1/2 2.046 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.046 * [backup-simplify]: Simplify (- 0) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.050 * [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 2.050 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.051 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.051 * [backup-simplify]: Simplify -1/24 into -1/24 2.053 * [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 2.053 * [backup-simplify]: Simplify (- 0) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.059 * [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 2.059 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.059 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.059 * [backup-simplify]: Simplify 1/720 into 1/720 2.060 * [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))) 2.060 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.060 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.060 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.060 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [backup-simplify]: Simplify 1.0 into 1.0 2.060 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1 1) into 1 2.060 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.060 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.060 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [backup-simplify]: Simplify 1.0 into 1.0 2.061 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (/ 1 1) into 1 2.065 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.065 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.065 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.065 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.066 * [backup-simplify]: Simplify (- 0) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (- 0) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (- 0) into 0 2.067 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (- 0) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (- 0) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (- 0) into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 2.069 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 2.069 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.069 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.069 * [taylor]: Taking taylor expansion of 1.0 in x 2.069 * [backup-simplify]: Simplify 1.0 into 1.0 2.069 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.069 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.069 * [taylor]: Taking taylor expansion of -1 in x 2.069 * [backup-simplify]: Simplify -1 into -1 2.069 * [taylor]: Taking taylor expansion of x in x 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (/ -1 1) into -1 2.069 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.069 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.069 * [taylor]: Taking taylor expansion of 1.0 in x 2.069 * [backup-simplify]: Simplify 1.0 into 1.0 2.069 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.069 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.069 * [taylor]: Taking taylor expansion of -1 in x 2.069 * [backup-simplify]: Simplify -1 into -1 2.069 * [taylor]: Taking taylor expansion of x in x 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (/ -1 1) into -1 2.070 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.070 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.070 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.070 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (- 0) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 2.073 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.073 * [backup-simplify]: Simplify (log (- 1.0 (cos x))) into (log (- 1.0 (cos x))) 2.073 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 2.073 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.073 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.073 * [taylor]: Taking taylor expansion of 1.0 in x 2.073 * [backup-simplify]: Simplify 1.0 into 1.0 2.073 * [taylor]: Taking taylor expansion of (cos x) in x 2.073 * [taylor]: Taking taylor expansion of x in x 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (- 1) into -1 2.074 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.074 * [backup-simplify]: Simplify (+ 0) into 0 2.074 * [backup-simplify]: Simplify (- 0) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.075 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.076 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.076 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 2.076 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.076 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.076 * [taylor]: Taking taylor expansion of 1.0 in x 2.076 * [backup-simplify]: Simplify 1.0 into 1.0 2.076 * [taylor]: Taking taylor expansion of (cos x) in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (- 1) into -1 2.077 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.077 * [backup-simplify]: Simplify (+ 0) into 0 2.077 * [backup-simplify]: Simplify (- 0) into 0 2.077 * [backup-simplify]: Simplify (+ 0 0) into 0 2.078 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.078 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.078 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.079 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 2.079 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) 2.080 * [backup-simplify]: Simplify (+ (log 1/2) (* 2 (log x))) into (+ (log 1/2) (* 2 (log x))) 2.081 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.081 * [backup-simplify]: Simplify (- 0) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.084 * [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 2.084 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.084 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 -1/24) 1)) (pow 1/2 1)))) 2) into -1/12 2.086 * [backup-simplify]: Simplify -1/12 into -1/12 2.087 * [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 2.088 * [backup-simplify]: Simplify (- 0) into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.091 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 2.091 * [backup-simplify]: Simplify 0 into 0 2.094 * [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 2.094 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.094 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.100 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 -1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/720) 1)) (pow 1/2 1)))) 24) into -1/1440 2.100 * [backup-simplify]: Simplify -1/1440 into -1/1440 2.101 * [backup-simplify]: Simplify (+ (* -1/1440 (pow x 4)) (+ (* -1/12 (pow x 2)) (+ (log 1/2) (* 2 (log x))))) into (- (+ (log 1/2) (* 2 (log x))) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) 2.101 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.101 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 2.101 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.101 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.101 * [taylor]: Taking taylor expansion of 1.0 in x 2.101 * [backup-simplify]: Simplify 1.0 into 1.0 2.101 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.101 * [taylor]: Taking taylor expansion of x in x 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (/ 1 1) into 1 2.102 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.102 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.102 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.102 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.102 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.102 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.102 * [taylor]: Taking taylor expansion of 1.0 in x 2.102 * [backup-simplify]: Simplify 1.0 into 1.0 2.102 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.102 * [taylor]: Taking taylor expansion of x in x 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (/ 1 1) into 1 2.102 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.102 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.102 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.103 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.103 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.103 * [backup-simplify]: Simplify (- 0) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 1) into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (- 0) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 2) into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (- 0) into 0 2.106 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 6) into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify (- 0) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 24) into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (- 0) into 0 2.112 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 120) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (- 0) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.125 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 720) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (/ 1 x))))) into (log (- 1.0 (cos x))) 2.125 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (- x))))) into (log (- 1.0 (cos (/ -1 x)))) 2.125 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 2.125 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.125 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.125 * [taylor]: Taking taylor expansion of 1.0 in x 2.125 * [backup-simplify]: Simplify 1.0 into 1.0 2.125 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.125 * [taylor]: Taking taylor expansion of -1 in x 2.125 * [backup-simplify]: Simplify -1 into -1 2.125 * [taylor]: Taking taylor expansion of x in x 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (/ -1 1) into -1 2.126 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.126 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.126 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.126 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 2.126 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.126 * [taylor]: Taking taylor expansion of 1.0 in x 2.126 * [backup-simplify]: Simplify 1.0 into 1.0 2.126 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.126 * [taylor]: Taking taylor expansion of -1 in x 2.126 * [backup-simplify]: Simplify -1 into -1 2.126 * [taylor]: Taking taylor expansion of x in x 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (/ -1 1) into -1 2.126 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.126 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.127 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.127 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 2.127 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 2.127 * [backup-simplify]: Simplify (- 0) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 1) into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (- 0) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 2) into 0 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (- 0) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.132 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 6) into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (- 0) into 0 2.132 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 24) into 0 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (- 0) into 0 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.145 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 120) into 0 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify (- 0) into 0 2.145 * [backup-simplify]: Simplify (+ 0 0) into 0 2.158 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 720) into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (log (- 1.0 (cos x))) 2.158 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.159 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos x)))) into (- 1.0 (cos x)) 2.159 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.159 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.159 * [taylor]: Taking taylor expansion of 1.0 in x 2.159 * [backup-simplify]: Simplify 1.0 into 1.0 2.159 * [taylor]: Taking taylor expansion of (cos x) in x 2.159 * [taylor]: Taking taylor expansion of x in x 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.159 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.159 * [taylor]: Taking taylor expansion of 1.0 in x 2.159 * [backup-simplify]: Simplify 1.0 into 1.0 2.159 * [taylor]: Taking taylor expansion of (cos x) in x 2.159 * [taylor]: Taking taylor expansion of x in x 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.159 * [backup-simplify]: Simplify (- 1) into -1 2.160 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (+ 0) into 0 2.161 * [backup-simplify]: Simplify (- 0) into 0 2.161 * [backup-simplify]: Simplify (+ 0 0) into 0 2.161 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.169 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.170 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.170 * [backup-simplify]: Simplify 1/2 into 1/2 2.171 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.171 * [backup-simplify]: Simplify (- 0) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.175 * [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 2.175 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.176 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.176 * [backup-simplify]: Simplify -1/24 into -1/24 2.178 * [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 2.178 * [backup-simplify]: Simplify (- 0) into 0 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.181 * [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 2.182 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.182 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.182 * [backup-simplify]: Simplify 1/720 into 1/720 2.182 * [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))) 2.183 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 2.183 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.183 * [taylor]: Taking taylor expansion of 1.0 in x 2.183 * [backup-simplify]: Simplify 1.0 into 1.0 2.183 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (/ 1 1) into 1 2.183 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.183 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.183 * [taylor]: Taking taylor expansion of 1.0 in x 2.183 * [backup-simplify]: Simplify 1.0 into 1.0 2.183 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.183 * [taylor]: Taking taylor expansion of x in x 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (/ 1 1) into 1 2.183 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.184 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.184 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.184 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.184 * [backup-simplify]: Simplify (- 0) into 0 2.184 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify (- 0) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (- 0) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (- 0) into 0 2.186 * [backup-simplify]: Simplify (+ 0 0) into 0 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (- 0) into 0 2.186 * [backup-simplify]: Simplify (+ 0 0) into 0 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (- 0) into 0 2.187 * [backup-simplify]: Simplify (+ 0 0) into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 2.187 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 (- x)))))) into (- 1.0 (cos (/ -1 x))) 2.187 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.187 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.187 * [taylor]: Taking taylor expansion of 1.0 in x 2.187 * [backup-simplify]: Simplify 1.0 into 1.0 2.187 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.187 * [taylor]: Taking taylor expansion of -1 in x 2.187 * [backup-simplify]: Simplify -1 into -1 2.187 * [taylor]: Taking taylor expansion of x in x 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (/ -1 1) into -1 2.187 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.187 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.187 * [taylor]: Taking taylor expansion of 1.0 in x 2.188 * [backup-simplify]: Simplify 1.0 into 1.0 2.188 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.188 * [taylor]: Taking taylor expansion of -1 in x 2.188 * [backup-simplify]: Simplify -1 into -1 2.188 * [taylor]: Taking taylor expansion of x in x 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (/ -1 1) into -1 2.188 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.188 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.188 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.188 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.188 * [backup-simplify]: Simplify (- 0) into 0 2.189 * [backup-simplify]: Simplify (+ 0 0) into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (- 0) into 0 2.189 * [backup-simplify]: Simplify (+ 0 0) into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (- 0) into 0 2.190 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify (- 0) into 0 2.190 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify (- 0) into 0 2.191 * [backup-simplify]: Simplify (+ 0 0) into 0 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (- 0) into 0 2.191 * [backup-simplify]: Simplify (+ 0 0) into 0 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 2.191 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.191 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos x)))) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 2.191 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 2.191 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.192 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.192 * [taylor]: Taking taylor expansion of 1.0 in x 2.192 * [backup-simplify]: Simplify 1.0 into 1.0 2.192 * [taylor]: Taking taylor expansion of (cos x) in x 2.192 * [taylor]: Taking taylor expansion of x in x 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [taylor]: Taking taylor expansion of (sin x) in x 2.192 * [taylor]: Taking taylor expansion of x in x 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (- 1) into -1 2.192 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.192 * [backup-simplify]: Simplify (+ 0) into 0 2.193 * [backup-simplify]: Simplify (- 0) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.194 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.194 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.195 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.195 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.195 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.195 * [taylor]: Taking taylor expansion of 1.0 in x 2.195 * [backup-simplify]: Simplify 1.0 into 1.0 2.195 * [taylor]: Taking taylor expansion of (cos x) in x 2.195 * [taylor]: Taking taylor expansion of x in x 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [taylor]: Taking taylor expansion of (sin x) in x 2.195 * [taylor]: Taking taylor expansion of x in x 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (- 1) into -1 2.195 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.196 * [backup-simplify]: Simplify (+ 0) into 0 2.196 * [backup-simplify]: Simplify (- 0) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.197 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.197 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.198 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.198 * [backup-simplify]: Simplify 1/2 into 1/2 2.199 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.199 * [backup-simplify]: Simplify (- 0) into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.202 * [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 2.202 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.202 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.205 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 2.205 * [backup-simplify]: Simplify 1/24 into 1/24 2.207 * [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 2.207 * [backup-simplify]: Simplify (- 0) into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.209 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify 0 into 0 2.215 * [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 2.216 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.216 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.220 * [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 2.222 * [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 2.222 * [backup-simplify]: Simplify 1/240 into 1/240 2.222 * [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)))) 2.223 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos (/ 1 x))))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.223 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 2.223 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.223 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.223 * [taylor]: Taking taylor expansion of 1.0 in x 2.223 * [backup-simplify]: Simplify 1.0 into 1.0 2.223 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.223 * [taylor]: Taking taylor expansion of x in x 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.224 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.224 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.224 * [taylor]: Taking taylor expansion of x in x 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (/ 1 1) into 1 2.224 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.224 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.224 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.225 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.225 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.225 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.225 * [taylor]: Taking taylor expansion of 1.0 in x 2.225 * [backup-simplify]: Simplify 1.0 into 1.0 2.225 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.225 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.226 * [backup-simplify]: Simplify (/ 1 1) into 1 2.226 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.226 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.226 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.226 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.226 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.227 * [backup-simplify]: Simplify (- 0) into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (- 0) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (- 0) into 0 2.230 * [backup-simplify]: Simplify (+ 0 0) into 0 2.230 * [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 2.230 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (- 0) into 0 2.231 * [backup-simplify]: Simplify (+ 0 0) into 0 2.231 * [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)))))) into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify (- 0) into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [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 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (- 0) into 0 2.234 * [backup-simplify]: Simplify (+ 0 0) into 0 2.234 * [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 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 2.235 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos (/ 1 (- x)))))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.235 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 2.235 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.235 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.235 * [taylor]: Taking taylor expansion of 1.0 in x 2.235 * [backup-simplify]: Simplify 1.0 into 1.0 2.235 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.235 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.235 * [taylor]: Taking taylor expansion of -1 in x 2.235 * [backup-simplify]: Simplify -1 into -1 2.235 * [taylor]: Taking taylor expansion of x in x 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (/ -1 1) into -1 2.236 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.236 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.236 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.236 * [taylor]: Taking taylor expansion of -1 in x 2.236 * [backup-simplify]: Simplify -1 into -1 2.236 * [taylor]: Taking taylor expansion of x in x 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (/ -1 1) into -1 2.236 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.236 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.236 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.237 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.237 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.237 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.237 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [backup-simplify]: Simplify 1.0 into 1.0 2.237 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.237 * [taylor]: Taking taylor expansion of -1 in x 2.237 * [backup-simplify]: Simplify -1 into -1 2.237 * [taylor]: Taking taylor expansion of x in x 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 1 into 1 2.237 * [backup-simplify]: Simplify (/ -1 1) into -1 2.237 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.237 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.238 * [taylor]: Taking taylor expansion of -1 in x 2.238 * [backup-simplify]: Simplify -1 into -1 2.238 * [taylor]: Taking taylor expansion of x in x 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (/ -1 1) into -1 2.238 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.238 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.238 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.238 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.238 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.239 * [backup-simplify]: Simplify (- 0) into 0 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.239 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (- 0) into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [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 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (- 0) into 0 2.241 * [backup-simplify]: Simplify (+ 0 0) into 0 2.241 * [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 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify (- 0) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [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 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (- 0) into 0 2.243 * [backup-simplify]: Simplify (+ 0 0) into 0 2.243 * [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 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify (- 0) into 0 2.244 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [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 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 2.244 * * * [progress]: simplifying candidates 2.246 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (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)) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (exp (log (- 1.0 (cos x))))) (log1p (exp (log (- 1.0 (cos x))))) (exp 1) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (expm1 (/ (exp (log (- 1.0 (cos x)))) (sin x))) (log1p (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (exp (log (- 1.0 (cos x)))) (sin x))) (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (* (* (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (exp (log (- 1.0 (cos x))))) (- (sin x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) 1) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ 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(cbrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) 1) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ 1 (sin x)) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (exp (log (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) 1) (/ (sin x) (exp (log (cbrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (sqrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (* (sin x) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* (sin x) (exp (log (+ 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)) (- (+ (log 1/2) (* 2 (log x))) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 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)) 2.248 * * [simplify]: iteration 0: 200 enodes 2.299 * * [simplify]: iteration 1: 373 enodes 2.433 * * [simplify]: iteration 2: 1284 enodes 3.142 * * [simplify]: iteration complete: 5000 enodes 3.142 * * [simplify]: Extracting #0: cost 78 inf + 0 3.144 * * [simplify]: Extracting #1: cost 793 inf + 3 3.149 * * [simplify]: Extracting #2: cost 1725 inf + 1113 3.160 * * [simplify]: Extracting #3: cost 1682 inf + 24808 3.208 * * [simplify]: Extracting #4: cost 758 inf + 181294 3.273 * * [simplify]: Extracting #5: cost 97 inf + 330223 3.372 * * [simplify]: Extracting #6: cost 1 inf + 354884 3.444 * * [simplify]: Extracting #7: cost 0 inf + 355166 3.521 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) 0 (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) 0 (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (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))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (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)) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (+ (log (cbrt (- 1.0 (cos x)))) (log (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) 0 (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) 0 (log (- 1.0 (cos x))) (log (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (log (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (log (- 1.0 (cos x))) (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x))))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 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(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))) (* (/ (- 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)) (* (/ (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 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))) (/ (- (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)) (* (/ (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)) (/ 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))) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* (sin x) (+ 1.0 (cos x))) (fma 1/720 (* (* x (* x x)) (* x (* x x))) (* (* x x) (- 1/2 (* (* x x) 1/24)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (fma (log x) 2 (log 1/2)) (* (* x x) (+ 1/12 (* (* x x) 1/1440)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (fma 1/720 (* (* x (* x x)) (* x (* x x))) (* (* x x) (- 1/2 (* (* x x) 1/24)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/240 (pow x 5) (* x (+ 1/2 (* (* x x) 1/24)))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 3.529 * * * [progress]: adding candidates to table 4.139 * * [progress]: iteration 3 / 4 4.139 * * * [progress]: picking best candidate 4.238 * * * * [pick]: Picked # 4.238 * * * [progress]: localizing error 4.251 * * * [progress]: generating rewritten candidates 4.251 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 4.257 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 4.276 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.300 * * * [progress]: generating series expansions 4.301 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 4.301 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 4.301 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.301 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.301 * [taylor]: Taking taylor expansion of 1.0 in x 4.301 * [backup-simplify]: Simplify 1.0 into 1.0 4.301 * [taylor]: Taking taylor expansion of (cos x) in x 4.301 * [taylor]: Taking taylor expansion of x in x 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 1 into 1 4.301 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.301 * [taylor]: Taking taylor expansion of 1.0 in x 4.301 * [backup-simplify]: Simplify 1.0 into 1.0 4.301 * [taylor]: Taking taylor expansion of (cos x) in x 4.301 * [taylor]: Taking taylor expansion of x in x 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 1 into 1 4.301 * [backup-simplify]: Simplify (- 1) into -1 4.302 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify (+ 0) into 0 4.302 * [backup-simplify]: Simplify (- 0) into 0 4.303 * [backup-simplify]: Simplify (+ 0 0) into 0 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.304 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.304 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.304 * [backup-simplify]: Simplify 1/2 into 1/2 4.305 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.306 * [backup-simplify]: Simplify (- 0) into 0 4.306 * [backup-simplify]: Simplify (+ 0 0) into 0 4.306 * [backup-simplify]: Simplify 0 into 0 4.309 * [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 4.309 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.310 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.310 * [backup-simplify]: Simplify -1/24 into -1/24 4.312 * [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 4.313 * [backup-simplify]: Simplify (- 0) into 0 4.313 * [backup-simplify]: Simplify (+ 0 0) into 0 4.313 * [backup-simplify]: Simplify 0 into 0 4.317 * [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 4.317 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.317 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.317 * [backup-simplify]: Simplify 1/720 into 1/720 4.318 * [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))) 4.318 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.318 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.318 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.318 * [taylor]: Taking taylor expansion of 1.0 in x 4.318 * [backup-simplify]: Simplify 1.0 into 1.0 4.318 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.318 * [taylor]: Taking taylor expansion of x in x 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ 1 1) into 1 4.318 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.318 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.318 * [taylor]: Taking taylor expansion of 1.0 in x 4.318 * [backup-simplify]: Simplify 1.0 into 1.0 4.318 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.318 * [taylor]: Taking taylor expansion of x in x 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ 1 1) into 1 4.319 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.319 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.319 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.319 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.319 * [backup-simplify]: Simplify (- 0) into 0 4.319 * [backup-simplify]: Simplify (+ 0 0) into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify (- 0) into 0 4.320 * [backup-simplify]: Simplify (+ 0 0) into 0 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify (- 0) into 0 4.320 * [backup-simplify]: Simplify (+ 0 0) into 0 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify (- 0) into 0 4.321 * [backup-simplify]: Simplify (+ 0 0) into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify (- 0) into 0 4.321 * [backup-simplify]: Simplify (+ 0 0) into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify (- 0) into 0 4.322 * [backup-simplify]: Simplify (+ 0 0) into 0 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 4.322 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 4.322 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.322 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.322 * [taylor]: Taking taylor expansion of 1.0 in x 4.322 * [backup-simplify]: Simplify 1.0 into 1.0 4.322 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.322 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.322 * [taylor]: Taking taylor expansion of -1 in x 4.322 * [backup-simplify]: Simplify -1 into -1 4.322 * [taylor]: Taking taylor expansion of x in x 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 1 into 1 4.322 * [backup-simplify]: Simplify (/ -1 1) into -1 4.322 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.322 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.322 * [taylor]: Taking taylor expansion of 1.0 in x 4.322 * [backup-simplify]: Simplify 1.0 into 1.0 4.323 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.323 * [taylor]: Taking taylor expansion of -1 in x 4.323 * [backup-simplify]: Simplify -1 into -1 4.323 * [taylor]: Taking taylor expansion of x in x 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 1 into 1 4.323 * [backup-simplify]: Simplify (/ -1 1) into -1 4.323 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.323 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.323 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.323 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 4.323 * [backup-simplify]: Simplify (- 0) into 0 4.324 * [backup-simplify]: Simplify (+ 0 0) into 0 4.324 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify (- 0) into 0 4.324 * [backup-simplify]: Simplify (+ 0 0) into 0 4.324 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify (- 0) into 0 4.325 * [backup-simplify]: Simplify (+ 0 0) into 0 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify (- 0) into 0 4.325 * [backup-simplify]: Simplify (+ 0 0) into 0 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify (- 0) into 0 4.326 * [backup-simplify]: Simplify (+ 0 0) into 0 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify (- 0) into 0 4.326 * [backup-simplify]: Simplify (+ 0 0) into 0 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 4.326 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.326 * [backup-simplify]: Simplify (/ (sin x) (- 1.0 (cos x))) into (/ (sin x) (- 1.0 (cos x))) 4.326 * [approximate]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in (x) around 0 4.326 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 4.326 * [taylor]: Taking taylor expansion of (sin x) in x 4.326 * [taylor]: Taking taylor expansion of x in x 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.327 * [taylor]: Taking taylor expansion of 1.0 in x 4.327 * [backup-simplify]: Simplify 1.0 into 1.0 4.327 * [taylor]: Taking taylor expansion of (cos x) in x 4.327 * [taylor]: Taking taylor expansion of x in x 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.327 * [backup-simplify]: Simplify (- 1) into -1 4.328 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.328 * [backup-simplify]: Simplify (+ 0) into 0 4.328 * [backup-simplify]: Simplify (- 0) into 0 4.328 * [backup-simplify]: Simplify (+ 0 0) into 0 4.329 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.329 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.329 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.330 * [backup-simplify]: Simplify (/ 1 1/2) into 2 4.330 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 4.330 * [taylor]: Taking taylor expansion of (sin x) in x 4.330 * [taylor]: Taking taylor expansion of x in x 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 1 into 1 4.330 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.330 * [taylor]: Taking taylor expansion of 1.0 in x 4.330 * [backup-simplify]: Simplify 1.0 into 1.0 4.330 * [taylor]: Taking taylor expansion of (cos x) in x 4.330 * [taylor]: Taking taylor expansion of x in x 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 1 into 1 4.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.331 * [backup-simplify]: Simplify (- 1) into -1 4.331 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.331 * [backup-simplify]: Simplify (+ 0) into 0 4.331 * [backup-simplify]: Simplify (- 0) into 0 4.332 * [backup-simplify]: Simplify (+ 0 0) into 0 4.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.332 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.333 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.333 * [backup-simplify]: Simplify (/ 1 1/2) into 2 4.333 * [backup-simplify]: Simplify 2 into 2 4.334 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.334 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.334 * [backup-simplify]: Simplify (- 0) into 0 4.335 * [backup-simplify]: Simplify (+ 0 0) into 0 4.335 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0 4.335 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.338 * [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 4.338 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.338 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.339 * [backup-simplify]: Simplify (- (/ -1/6 1/2) (+ (* 2 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/6 4.339 * [backup-simplify]: Simplify -1/6 into -1/6 4.340 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.341 * [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 4.341 * [backup-simplify]: Simplify (- 0) into 0 4.342 * [backup-simplify]: Simplify (+ 0 0) into 0 4.342 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* -1/6 (/ 0 1/2)))) into 0 4.342 * [backup-simplify]: Simplify 0 into 0 4.344 * [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 4.348 * [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 4.348 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.348 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.350 * [backup-simplify]: Simplify (- (/ 1/120 1/2) (+ (* 2 (/ 1/720 1/2)) (* 0 (/ 0 1/2)) (* -1/6 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/360 4.351 * [backup-simplify]: Simplify -1/360 into -1/360 4.351 * [backup-simplify]: Simplify (+ (* -1/360 (pow x 3)) (+ (* -1/6 x) (* 2 (/ 1 x)))) into (- (* 2 (/ 1 x)) (+ (* 1/6 x) (* 1/360 (pow x 3)))) 4.351 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 4.351 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in (x) around 0 4.352 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 4.352 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.352 * [taylor]: Taking taylor expansion of x in x 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [backup-simplify]: Simplify (/ 1 1) into 1 4.352 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.352 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.352 * [taylor]: Taking taylor expansion of 1.0 in x 4.352 * [backup-simplify]: Simplify 1.0 into 1.0 4.352 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.352 * [taylor]: Taking taylor expansion of x in x 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.353 * [backup-simplify]: Simplify (/ 1 1) into 1 4.353 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.353 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.353 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.353 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 4.353 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 4.353 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.353 * [taylor]: Taking taylor expansion of x in x 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 1 into 1 4.354 * [backup-simplify]: Simplify (/ 1 1) into 1 4.354 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.354 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.354 * [taylor]: Taking taylor expansion of 1.0 in x 4.354 * [backup-simplify]: Simplify 1.0 into 1.0 4.354 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.354 * [taylor]: Taking taylor expansion of x in x 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.354 * [backup-simplify]: Simplify (/ 1 1) into 1 4.354 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.355 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.355 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.355 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 4.355 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 4.356 * [backup-simplify]: Simplify (- 0) into 0 4.356 * [backup-simplify]: Simplify (+ 0 0) into 0 4.356 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 4.356 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify (- 0) into 0 4.357 * [backup-simplify]: Simplify (+ 0 0) into 0 4.358 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify (- 0) into 0 4.358 * [backup-simplify]: Simplify (+ 0 0) into 0 4.359 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify (- 0) into 0 4.360 * [backup-simplify]: Simplify (+ 0 0) into 0 4.360 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify (- 0) into 0 4.361 * [backup-simplify]: Simplify (+ 0 0) into 0 4.362 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 4.362 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify (- 0) into 0 4.363 * [backup-simplify]: Simplify (+ 0 0) into 0 4.364 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify (/ (sin (/ 1 (/ 1 x))) (- 1.0 (cos (/ 1 (/ 1 x))))) into (/ (sin x) (- 1.0 (cos x))) 4.364 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (- 1.0 (cos (/ 1 (- x))))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 4.364 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in (x) around 0 4.365 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 4.365 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.365 * [taylor]: Taking taylor expansion of -1 in x 4.365 * [backup-simplify]: Simplify -1 into -1 4.365 * [taylor]: Taking taylor expansion of x in x 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [backup-simplify]: Simplify (/ -1 1) into -1 4.365 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.365 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.365 * [taylor]: Taking taylor expansion of 1.0 in x 4.365 * [backup-simplify]: Simplify 1.0 into 1.0 4.365 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.365 * [taylor]: Taking taylor expansion of -1 in x 4.365 * [backup-simplify]: Simplify -1 into -1 4.365 * [taylor]: Taking taylor expansion of x in x 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.366 * [backup-simplify]: Simplify (/ -1 1) into -1 4.366 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.366 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.366 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.366 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 4.366 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 4.366 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.367 * [taylor]: Taking taylor expansion of -1 in x 4.367 * [backup-simplify]: Simplify -1 into -1 4.367 * [taylor]: Taking taylor expansion of x in x 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [backup-simplify]: Simplify (/ -1 1) into -1 4.367 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.367 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.367 * [taylor]: Taking taylor expansion of 1.0 in x 4.367 * [backup-simplify]: Simplify 1.0 into 1.0 4.367 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.367 * [taylor]: Taking taylor expansion of -1 in x 4.367 * [backup-simplify]: Simplify -1 into -1 4.367 * [taylor]: Taking taylor expansion of x in x 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.368 * [backup-simplify]: Simplify (/ -1 1) into -1 4.368 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.368 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.368 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.368 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 4.368 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 4.369 * [backup-simplify]: Simplify (- 0) into 0 4.369 * [backup-simplify]: Simplify (+ 0 0) into 0 4.370 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify (- 0) into 0 4.370 * [backup-simplify]: Simplify (+ 0 0) into 0 4.371 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.371 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify (- 0) into 0 4.372 * [backup-simplify]: Simplify (+ 0 0) into 0 4.373 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify (- 0) into 0 4.374 * [backup-simplify]: Simplify (+ 0 0) into 0 4.374 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify (- 0) into 0 4.380 * [backup-simplify]: Simplify (+ 0 0) into 0 4.380 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.380 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify (- 0) into 0 4.381 * [backup-simplify]: Simplify (+ 0 0) into 0 4.382 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify (/ (sin (/ -1 (/ 1 (- x)))) (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (/ (sin x) (- 1.0 (cos x))) 4.382 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.382 * [backup-simplify]: Simplify (/ 1 (/ (sin x) (- 1.0 (cos x)))) into (/ (- 1.0 (cos x)) (sin x)) 4.382 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 4.382 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.382 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.382 * [taylor]: Taking taylor expansion of 1.0 in x 4.382 * [backup-simplify]: Simplify 1.0 into 1.0 4.382 * [taylor]: Taking taylor expansion of (cos x) in x 4.382 * [taylor]: Taking taylor expansion of x in x 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 1 into 1 4.382 * [taylor]: Taking taylor expansion of (sin x) in x 4.382 * [taylor]: Taking taylor expansion of x in x 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 1 into 1 4.383 * [backup-simplify]: Simplify (- 1) into -1 4.383 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.383 * [backup-simplify]: Simplify (+ 0) into 0 4.383 * [backup-simplify]: Simplify (- 0) into 0 4.383 * [backup-simplify]: Simplify (+ 0 0) into 0 4.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.384 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.385 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.385 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 4.385 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.385 * [taylor]: Taking taylor expansion of 1.0 in x 4.385 * [backup-simplify]: Simplify 1.0 into 1.0 4.385 * [taylor]: Taking taylor expansion of (cos x) in x 4.385 * [taylor]: Taking taylor expansion of x in x 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 1 into 1 4.385 * [taylor]: Taking taylor expansion of (sin x) in x 4.385 * [taylor]: Taking taylor expansion of x in x 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 1 into 1 4.386 * [backup-simplify]: Simplify (- 1) into -1 4.386 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.386 * [backup-simplify]: Simplify (+ 0) into 0 4.386 * [backup-simplify]: Simplify (- 0) into 0 4.387 * [backup-simplify]: Simplify (+ 0 0) into 0 4.387 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.388 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.388 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.388 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.389 * [backup-simplify]: Simplify 1/2 into 1/2 4.389 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.389 * [backup-simplify]: Simplify (- 0) into 0 4.390 * [backup-simplify]: Simplify (+ 0 0) into 0 4.390 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.391 * [backup-simplify]: Simplify 0 into 0 4.392 * [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 4.392 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.393 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.394 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.394 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 4.394 * [backup-simplify]: Simplify 1/24 into 1/24 4.396 * [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 4.396 * [backup-simplify]: Simplify (- 0) into 0 4.396 * [backup-simplify]: Simplify (+ 0 0) into 0 4.397 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.400 * [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 4.401 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.401 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.403 * [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 4.404 * [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 4.404 * [backup-simplify]: Simplify 1/240 into 1/240 4.404 * [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)))) 4.404 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x))))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 4.404 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 4.405 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.405 * [taylor]: Taking taylor expansion of 1.0 in x 4.405 * [backup-simplify]: Simplify 1.0 into 1.0 4.405 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.405 * [taylor]: Taking taylor expansion of x in x 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.405 * [backup-simplify]: Simplify (/ 1 1) into 1 4.405 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.405 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.405 * [taylor]: Taking taylor expansion of x in x 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.405 * [backup-simplify]: Simplify (/ 1 1) into 1 4.405 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.405 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.405 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.406 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 4.406 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 4.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.406 * [taylor]: Taking taylor expansion of 1.0 in x 4.406 * [backup-simplify]: Simplify 1.0 into 1.0 4.406 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.406 * [taylor]: Taking taylor expansion of x in x 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 1 into 1 4.406 * [backup-simplify]: Simplify (/ 1 1) into 1 4.406 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.406 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 4.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.406 * [taylor]: Taking taylor expansion of x in x 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 1 into 1 4.406 * [backup-simplify]: Simplify (/ 1 1) into 1 4.406 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 4.406 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.406 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.407 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 4.407 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 4.407 * [backup-simplify]: Simplify (- 0) into 0 4.407 * [backup-simplify]: Simplify (+ 0 0) into 0 4.408 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 4.408 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify (- 0) into 0 4.409 * [backup-simplify]: Simplify (+ 0 0) into 0 4.409 * [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 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify (- 0) into 0 4.410 * [backup-simplify]: Simplify (+ 0 0) into 0 4.411 * [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 4.411 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify (- 0) into 0 4.412 * [backup-simplify]: Simplify (+ 0 0) into 0 4.413 * [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 4.413 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify (- 0) into 0 4.413 * [backup-simplify]: Simplify (+ 0 0) into 0 4.414 * [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 4.414 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify (- 0) into 0 4.415 * [backup-simplify]: Simplify (+ 0 0) into 0 4.416 * [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 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 4.416 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1 (- x))) (- 1.0 (cos (/ 1 (- x)))))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 4.416 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 4.417 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.417 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.417 * [taylor]: Taking taylor expansion of 1.0 in x 4.417 * [backup-simplify]: Simplify 1.0 into 1.0 4.417 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.417 * [taylor]: Taking taylor expansion of -1 in x 4.417 * [backup-simplify]: Simplify -1 into -1 4.417 * [taylor]: Taking taylor expansion of x in x 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 1 into 1 4.417 * [backup-simplify]: Simplify (/ -1 1) into -1 4.417 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.417 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.417 * [taylor]: Taking taylor expansion of -1 in x 4.418 * [backup-simplify]: Simplify -1 into -1 4.418 * [taylor]: Taking taylor expansion of x in x 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 1 into 1 4.418 * [backup-simplify]: Simplify (/ -1 1) into -1 4.418 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.418 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.418 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.419 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 4.419 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 4.419 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.419 * [taylor]: Taking taylor expansion of 1.0 in x 4.419 * [backup-simplify]: Simplify 1.0 into 1.0 4.419 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.419 * [taylor]: Taking taylor expansion of -1 in x 4.419 * [backup-simplify]: Simplify -1 into -1 4.419 * [taylor]: Taking taylor expansion of x in x 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (/ -1 1) into -1 4.419 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.419 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 4.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.419 * [taylor]: Taking taylor expansion of -1 in x 4.420 * [backup-simplify]: Simplify -1 into -1 4.420 * [taylor]: Taking taylor expansion of x in x 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [backup-simplify]: Simplify (/ -1 1) into -1 4.420 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 4.420 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.420 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.421 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 4.421 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 4.421 * [backup-simplify]: Simplify (- 0) into 0 4.422 * [backup-simplify]: Simplify (+ 0 0) into 0 4.422 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify (- 0) into 0 4.423 * [backup-simplify]: Simplify (+ 0 0) into 0 4.423 * [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 4.423 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify (- 0) into 0 4.424 * [backup-simplify]: Simplify (+ 0 0) into 0 4.425 * [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 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify (- 0) into 0 4.426 * [backup-simplify]: Simplify (+ 0 0) into 0 4.426 * [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 4.426 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify (- 0) into 0 4.427 * [backup-simplify]: Simplify (+ 0 0) into 0 4.428 * [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 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify (- 0) into 0 4.429 * [backup-simplify]: Simplify (+ 0 0) into 0 4.430 * [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 4.430 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 4.430 * * * [progress]: simplifying candidates 4.433 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (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)) (expm1 (/ (sin x) (- 1.0 (cos x)))) (log1p (/ (sin x) (- 1.0 (cos x)))) (- (log (sin x)) (log (- 1.0 (cos x)))) (log (/ (sin x) (- 1.0 (cos x)))) (exp (/ (sin x) (- 1.0 (cos x)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x)))) (* (* (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (- (sin x)) (- (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (/ (cbrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (- 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)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ 1 (sqrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ 1 1) (/ (sin x) (- 1.0 (cos x))) (/ 1 (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ 1 1) (/ (sin x) (- 1.0 (cos x))) (/ 1 (- 1.0 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(sin x)) 1)) (/ 1 (/ (sqrt (sin x)) (- 1.0 (cos x)))) (/ 1 (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (sqrt (sin x)) 1)) (/ 1 (/ (sqrt (sin x)) (- 1.0 (cos x)))) (/ 1 (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (sin x) (cbrt (- 1.0 (cos x))))) (/ 1 (/ 1 (sqrt (- 1.0 (cos x))))) (/ 1 (/ (sin x) (sqrt (- 1.0 (cos x))))) (/ 1 (/ 1 1)) (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 (/ 1 (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ 1 1)) (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 1) (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 (sin x)) (/ 1 (/ 1 (- 1.0 (cos x)))) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ (/ (sin x) (- 1.0 (cos x))) 1) (/ 1 (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x)))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ 1 (/ (sqrt (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ 1 (/ (sqrt (sin x)) 1)) (/ 1 (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (sqrt (sin x)) 1)) (/ 1 (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ 1 (sqrt (- 1.0 (cos x))))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (sin x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (/ (sin x) (- 1.0 (cos x))) (cbrt 1)) (/ (/ (sin x) (- 1.0 (cos x))) (sqrt 1)) (/ (/ (sin x) (- 1.0 (cos x))) 1) (/ 1 (sin x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (* 2 (/ 1 x)) (+ (* 1/6 x) (* 1/360 (pow x 3)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin 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)) 4.436 * * [simplify]: iteration 0: 269 enodes 4.602 * * [simplify]: iteration 1: 656 enodes 5.059 * * [simplify]: iteration 2: 3505 enodes 5.925 * * [simplify]: iteration complete: 5000 enodes 5.926 * * [simplify]: Extracting #0: cost 102 inf + 0 5.931 * * [simplify]: Extracting #1: cost 1284 inf + 2 5.942 * * [simplify]: Extracting #2: cost 1647 inf + 6949 5.966 * * [simplify]: Extracting #3: cost 1346 inf + 64677 6.035 * * [simplify]: Extracting #4: cost 475 inf + 246808 6.130 * * [simplify]: Extracting #5: cost 45 inf + 353726 6.203 * * [simplify]: Extracting #6: cost 1 inf + 365913 6.269 * * [simplify]: Extracting #7: cost 0 inf + 366175 6.345 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (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))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x))) (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (sin x) (- 1.0 (cos x)))) (log1p (/ (sin x) (- 1.0 (cos x)))) (log (/ (sin x) (- 1.0 (cos x)))) (log (/ (sin x) (- 1.0 (cos x)))) (exp (/ (sin x) (- 1.0 (cos x)))) (* (/ (sin x) (- 1.0 (cos x))) (* (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))))) (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x)))) (* (/ (sin x) (- 1.0 (cos x))) (* (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (- (sin x)) (- (- 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)))) (/ (cbrt (sin x)) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x)))) (/ (cbrt (sin x)) (sqrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (- 1.0 (cos x))) (* (/ (cbrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (sin x))) (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (- 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)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ 1 (sqrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) 1 (/ (sin x) (- 1.0 (cos x))) (/ 1 (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) 1 (/ (sin x) (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (sin x) (/ (sin x) (+ (sqrt 1.0) (sqrt (cos x)))) (sin x) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (/ (sin x) (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (expm1 (/ 1 (/ (sin x) (- 1.0 (cos x))))) (log1p (/ 1 (/ (sin x) (- 1.0 (cos x))))) -1 (- (log (/ (sin x) (- 1.0 (cos x))))) (- (log (/ (sin x) (- 1.0 (cos x))))) (- (log (/ (sin x) (- 1.0 (cos x))))) (- (log (/ (sin x) (- 1.0 (cos x))))) (- (log (/ (sin x) (- 1.0 (cos x))))) (- (log (/ (sin x) (- 1.0 (cos x))))) (- (log (/ (sin x) (- 1.0 (cos x))))) (exp (/ 1 (/ (sin x) (- 1.0 (cos x))))) (/ (/ 1 (* (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))))) (/ (sin x) (- 1.0 (cos x)))) (/ (/ 1 (* (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))))) (/ (sin 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))) (/ (sin x) (- 1.0 (cos x))))) (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) -1 (- (/ (sin x) (- 1.0 (cos x)))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (* (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))))) (* (/ 1 (cbrt (sin x))) (cbrt (- 1.0 (cos x)))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ (* 1 (- 1.0 (cos x))) (cbrt (sin x))) (* (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x)))) (/ (* 1 (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (sin x))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ (* 1 (- 1.0 (cos x))) (cbrt (sin x))) (/ (* 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (* 1 (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (* 1 (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (sin x))) (* (/ 1 (sqrt (sin x))) (- (sqrt 1.0) (sqrt (cos x)))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (/ 1 (sin x)) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (sin x)) 1 (/ 1 (/ (sin x) (- 1.0 (cos x)))) (+ (sqrt 1.0) (sqrt (cos x))) (* (/ 1 (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) 1 (/ 1 (/ (sin x) (- 1.0 (cos x)))) 1 (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 (sin x)) (- 1.0 (cos x)) (/ (* 1 (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (sin x)) (/ 1 (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0))) (* (/ 1 (sin x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (/ 1 (+ 1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (* (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))))) (* (/ 1 (cbrt (sin x))) (cbrt (- 1.0 (cos x)))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ (* 1 (- 1.0 (cos x))) (cbrt (sin x))) (* (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x)))) (/ (* 1 (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (sin x))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ (* 1 (- 1.0 (cos x))) (cbrt (sin x))) (/ (* 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (* 1 (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (* 1 (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (sin x))) (* (/ 1 (sqrt (sin x))) (- (sqrt 1.0) (sqrt (cos x)))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (/ 1 (sin x)) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (sin x)) 1 (/ 1 (/ (sin x) (- 1.0 (cos x)))) (+ (sqrt 1.0) (sqrt (cos x))) (* (/ 1 (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) 1 (/ 1 (/ (sin x) (- 1.0 (cos x)))) 1 (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 (sin x)) (- 1.0 (cos x)) (/ (* 1 (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (sin x)) (/ 1 (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0))) (* (/ 1 (sin x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (/ 1 (+ 1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (* (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))))) (* (/ 1 (cbrt (sin x))) (cbrt (- 1.0 (cos x)))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (cbrt (sin x))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ (* 1 (- 1.0 (cos x))) (cbrt (sin x))) (* (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x)))) (/ (* 1 (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (sin x))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ (* 1 (- 1.0 (cos x))) (cbrt (sin x))) (/ (* 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (* 1 (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (* 1 (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (sin x))) (* (/ 1 (sqrt (sin x))) (- (sqrt 1.0) (sqrt (cos x)))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (/ 1 (sin x)) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (sin x)) 1 (/ 1 (/ (sin x) (- 1.0 (cos x)))) (+ (sqrt 1.0) (sqrt (cos x))) (* (/ 1 (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) 1 (/ 1 (/ (sin x) (- 1.0 (cos x)))) 1 (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 (sin x)) (- 1.0 (cos x)) (/ (* 1 (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (sin x)) (/ 1 (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0))) (* (/ 1 (sin x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (/ 1 (+ 1.0 (cos x))) (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (* (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (* (+ (sqrt 1.0) (sqrt (cos x))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x)))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ (* 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (* 1 (sqrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (* 1 (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 1 (/ 1 (sin x)) (/ (* 1 (- (* 1.0 (* 1.0 1.0)) (* (* (cos x) (cos x)) (cos x)))) (sin x)) (* (/ 1 (sin x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ 1 (sin x)) (fma (* (* x x) (* (* x x) (* x x))) 1/720 (fma 1/2 (* x x) (* -1/24 (* (* x x) (* x x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (/ 2 x) (fma 1/6 x (* 1/360 (* x (* x x))))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (fma 1/240 (pow x 5) (fma (* x (* x x)) 1/24 (* x 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 6.358 * * * [progress]: adding candidates to table 7.079 * * [progress]: iteration 4 / 4 7.079 * * * [progress]: picking best candidate 7.146 * * * * [pick]: Picked # 7.146 * * * [progress]: localizing error 7.181 * * * [progress]: generating rewritten candidates 7.182 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.193 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 7.230 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.239 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 7.268 * * * [progress]: generating series expansions 7.268 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 7.268 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 7.268 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 7.268 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 7.268 * [taylor]: Taking taylor expansion of 1.0 in x 7.268 * [backup-simplify]: Simplify 1.0 into 1.0 7.268 * [taylor]: Taking taylor expansion of (cos x) in x 7.268 * [taylor]: Taking taylor expansion of x in x 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify 1 into 1 7.268 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 7.268 * [taylor]: Taking taylor expansion of 1.0 in x 7.268 * [backup-simplify]: Simplify 1.0 into 1.0 7.268 * [taylor]: Taking taylor expansion of (cos x) in x 7.268 * [taylor]: Taking taylor expansion of x in x 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify 1 into 1 7.269 * [backup-simplify]: Simplify (- 1) into -1 7.270 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify (+ 0) into 0 7.270 * [backup-simplify]: Simplify (- 0) into 0 7.270 * [backup-simplify]: Simplify (+ 0 0) into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 7.271 * [backup-simplify]: Simplify (- -1/2) into 1/2 7.277 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.277 * [backup-simplify]: Simplify 1/2 into 1/2 7.278 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.278 * [backup-simplify]: Simplify (- 0) into 0 7.279 * [backup-simplify]: Simplify (+ 0 0) into 0 7.279 * [backup-simplify]: Simplify 0 into 0 7.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 7.281 * [backup-simplify]: Simplify (- 1/24) into -1/24 7.281 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 7.281 * [backup-simplify]: Simplify -1/24 into -1/24 7.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.283 * [backup-simplify]: Simplify (- 0) into 0 7.283 * [backup-simplify]: Simplify (+ 0 0) into 0 7.283 * [backup-simplify]: Simplify 0 into 0 7.286 * [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 7.287 * [backup-simplify]: Simplify (- -1/720) into 1/720 7.287 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 7.287 * [backup-simplify]: Simplify 1/720 into 1/720 7.288 * [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))) 7.288 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 7.288 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 7.288 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 7.288 * [taylor]: Taking taylor expansion of 1.0 in x 7.288 * [backup-simplify]: Simplify 1.0 into 1.0 7.288 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.288 * [taylor]: Taking taylor expansion of x in x 7.288 * [backup-simplify]: Simplify 0 into 0 7.288 * [backup-simplify]: Simplify 1 into 1 7.288 * [backup-simplify]: Simplify (/ 1 1) into 1 7.288 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.288 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 7.288 * [taylor]: Taking taylor expansion of 1.0 in x 7.288 * [backup-simplify]: Simplify 1.0 into 1.0 7.288 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.288 * [taylor]: Taking taylor expansion of x in x 7.288 * [backup-simplify]: Simplify 0 into 0 7.288 * [backup-simplify]: Simplify 1 into 1 7.289 * [backup-simplify]: Simplify (/ 1 1) into 1 7.289 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.289 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 7.289 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 7.289 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 7.289 * [backup-simplify]: Simplify (- 0) into 0 7.289 * [backup-simplify]: Simplify (+ 0 0) into 0 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify (- 0) into 0 7.290 * [backup-simplify]: Simplify (+ 0 0) into 0 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify (- 0) into 0 7.290 * [backup-simplify]: Simplify (+ 0 0) into 0 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify (- 0) into 0 7.291 * [backup-simplify]: Simplify (+ 0 0) into 0 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify (- 0) into 0 7.291 * [backup-simplify]: Simplify (+ 0 0) into 0 7.292 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify (- 0) into 0 7.292 * [backup-simplify]: Simplify (+ 0 0) into 0 7.292 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 7.292 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 7.292 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 7.292 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 7.292 * [taylor]: Taking taylor expansion of 1.0 in x 7.292 * [backup-simplify]: Simplify 1.0 into 1.0 7.292 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.292 * [taylor]: Taking taylor expansion of -1 in x 7.292 * [backup-simplify]: Simplify -1 into -1 7.292 * [taylor]: Taking taylor expansion of x in x 7.292 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify 1 into 1 7.293 * [backup-simplify]: Simplify (/ -1 1) into -1 7.293 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.293 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 7.293 * [taylor]: Taking taylor expansion of 1.0 in x 7.293 * [backup-simplify]: Simplify 1.0 into 1.0 7.293 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.293 * [taylor]: Taking taylor expansion of -1 in x 7.293 * [backup-simplify]: Simplify -1 into -1 7.293 * [taylor]: Taking taylor expansion of x in x 7.293 * [backup-simplify]: Simplify 0 into 0 7.293 * [backup-simplify]: Simplify 1 into 1 7.293 * [backup-simplify]: Simplify (/ -1 1) into -1 7.293 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.293 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 7.293 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 7.294 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 7.294 * [backup-simplify]: Simplify (- 0) into 0 7.294 * [backup-simplify]: Simplify (+ 0 0) into 0 7.294 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify (- 0) into 0 7.295 * [backup-simplify]: Simplify (+ 0 0) into 0 7.295 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify (- 0) into 0 7.296 * [backup-simplify]: Simplify (+ 0 0) into 0 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify (- 0) into 0 7.297 * [backup-simplify]: Simplify (+ 0 0) into 0 7.297 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify (- 0) into 0 7.298 * [backup-simplify]: Simplify (+ 0 0) into 0 7.298 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify (- 0) into 0 7.299 * [backup-simplify]: Simplify (+ 0 0) into 0 7.299 * [backup-simplify]: Simplify 0 into 0 7.299 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 7.299 * * * * [progress]: [ 2 / 4 ] generating series at (2) 7.299 * [backup-simplify]: Simplify (/ (/ 1 (sin x)) (/ 1 (- 1.0 (cos x)))) into (/ (- 1.0 (cos x)) (sin x)) 7.299 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 7.299 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 7.299 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 7.299 * [taylor]: Taking taylor expansion of 1.0 in x 7.299 * [backup-simplify]: Simplify 1.0 into 1.0 7.299 * [taylor]: Taking taylor expansion of (cos x) in x 7.299 * [taylor]: Taking taylor expansion of x in x 7.299 * [backup-simplify]: Simplify 0 into 0 7.299 * [backup-simplify]: Simplify 1 into 1 7.300 * [taylor]: Taking taylor expansion of (sin x) in x 7.300 * [taylor]: Taking taylor expansion of x in x 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify 1 into 1 7.300 * [backup-simplify]: Simplify (- 1) into -1 7.300 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 7.301 * [backup-simplify]: Simplify (+ 0) into 0 7.301 * [backup-simplify]: Simplify (- 0) into 0 7.302 * [backup-simplify]: Simplify (+ 0 0) into 0 7.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 7.303 * [backup-simplify]: Simplify (- -1/2) into 1/2 7.304 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.305 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.305 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 7.305 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 7.305 * [taylor]: Taking taylor expansion of 1.0 in x 7.305 * [backup-simplify]: Simplify 1.0 into 1.0 7.305 * [taylor]: Taking taylor expansion of (cos x) in x 7.305 * [taylor]: Taking taylor expansion of x in x 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify 1 into 1 7.305 * [taylor]: Taking taylor expansion of (sin x) in x 7.305 * [taylor]: Taking taylor expansion of x in x 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify 1 into 1 7.305 * [backup-simplify]: Simplify (- 1) into -1 7.306 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 7.306 * [backup-simplify]: Simplify (+ 0) into 0 7.307 * [backup-simplify]: Simplify (- 0) into 0 7.307 * [backup-simplify]: Simplify (+ 0 0) into 0 7.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 7.308 * [backup-simplify]: Simplify (- -1/2) into 1/2 7.309 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.310 * [backup-simplify]: Simplify 1/2 into 1/2 7.311 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.312 * [backup-simplify]: Simplify (- 0) into 0 7.312 * [backup-simplify]: Simplify (+ 0 0) into 0 7.313 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.314 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 7.317 * [backup-simplify]: Simplify (- 1/24) into -1/24 7.317 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 7.319 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.320 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 7.320 * [backup-simplify]: Simplify 1/24 into 1/24 7.322 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.323 * [backup-simplify]: Simplify (- 0) into 0 7.323 * [backup-simplify]: Simplify (+ 0 0) into 0 7.325 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 7.326 * [backup-simplify]: Simplify 0 into 0 7.331 * [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 7.332 * [backup-simplify]: Simplify (- -1/720) into 1/720 7.332 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 7.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 7.338 * [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 7.338 * [backup-simplify]: Simplify 1/240 into 1/240 7.338 * [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)))) 7.339 * [backup-simplify]: Simplify (/ (/ 1 (sin (/ 1 x))) (/ 1 (- 1.0 (cos (/ 1 x))))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 7.339 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 7.339 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 7.339 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 7.339 * [taylor]: Taking taylor expansion of 1.0 in x 7.339 * [backup-simplify]: Simplify 1.0 into 1.0 7.339 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.339 * [taylor]: Taking taylor expansion of x in x 7.339 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify 1 into 1 7.339 * [backup-simplify]: Simplify (/ 1 1) into 1 7.339 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.339 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.339 * [taylor]: Taking taylor expansion of x in x 7.340 * [backup-simplify]: Simplify 0 into 0 7.340 * [backup-simplify]: Simplify 1 into 1 7.340 * [backup-simplify]: Simplify (/ 1 1) into 1 7.340 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.340 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 7.340 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 7.340 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 7.340 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 7.340 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 7.340 * [taylor]: Taking taylor expansion of 1.0 in x 7.341 * [backup-simplify]: Simplify 1.0 into 1.0 7.341 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.341 * [taylor]: Taking taylor expansion of x in x 7.341 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify 1 into 1 7.341 * [backup-simplify]: Simplify (/ 1 1) into 1 7.341 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.341 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.341 * [taylor]: Taking taylor expansion of x in x 7.341 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify 1 into 1 7.342 * [backup-simplify]: Simplify (/ 1 1) into 1 7.342 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.342 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 7.342 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 7.342 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 7.342 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 7.343 * [backup-simplify]: Simplify (- 0) into 0 7.343 * [backup-simplify]: Simplify (+ 0 0) into 0 7.343 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 7.343 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify (- 0) into 0 7.344 * [backup-simplify]: Simplify (+ 0 0) into 0 7.345 * [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 7.345 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify (- 0) into 0 7.345 * [backup-simplify]: Simplify (+ 0 0) into 0 7.346 * [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 7.346 * [backup-simplify]: Simplify 0 into 0 7.346 * [backup-simplify]: Simplify (- 0) into 0 7.347 * [backup-simplify]: Simplify (+ 0 0) into 0 7.347 * [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 7.347 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify (- 0) into 0 7.348 * [backup-simplify]: Simplify (+ 0 0) into 0 7.349 * [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 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify (- 0) into 0 7.350 * [backup-simplify]: Simplify (+ 0 0) into 0 7.350 * [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 7.351 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 7.351 * [backup-simplify]: Simplify (/ (/ 1 (sin (/ 1 (- x)))) (/ 1 (- 1.0 (cos (/ 1 (- x)))))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 7.351 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 7.351 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 7.351 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 7.351 * [taylor]: Taking taylor expansion of 1.0 in x 7.351 * [backup-simplify]: Simplify 1.0 into 1.0 7.351 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.351 * [taylor]: Taking taylor expansion of -1 in x 7.351 * [backup-simplify]: Simplify -1 into -1 7.351 * [taylor]: Taking taylor expansion of x in x 7.351 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify 1 into 1 7.352 * [backup-simplify]: Simplify (/ -1 1) into -1 7.352 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.352 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.352 * [taylor]: Taking taylor expansion of -1 in x 7.352 * [backup-simplify]: Simplify -1 into -1 7.352 * [taylor]: Taking taylor expansion of x in x 7.352 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify 1 into 1 7.352 * [backup-simplify]: Simplify (/ -1 1) into -1 7.353 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.353 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 7.353 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 7.353 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 7.353 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 7.353 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 7.353 * [taylor]: Taking taylor expansion of 1.0 in x 7.353 * [backup-simplify]: Simplify 1.0 into 1.0 7.353 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.353 * [taylor]: Taking taylor expansion of -1 in x 7.353 * [backup-simplify]: Simplify -1 into -1 7.353 * [taylor]: Taking taylor expansion of x in x 7.353 * [backup-simplify]: Simplify 0 into 0 7.353 * [backup-simplify]: Simplify 1 into 1 7.354 * [backup-simplify]: Simplify (/ -1 1) into -1 7.354 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.354 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.354 * [taylor]: Taking taylor expansion of -1 in x 7.354 * [backup-simplify]: Simplify -1 into -1 7.354 * [taylor]: Taking taylor expansion of x in x 7.354 * [backup-simplify]: Simplify 0 into 0 7.354 * [backup-simplify]: Simplify 1 into 1 7.354 * [backup-simplify]: Simplify (/ -1 1) into -1 7.354 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.354 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 7.355 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 7.355 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 7.355 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 7.355 * [backup-simplify]: Simplify (- 0) into 0 7.356 * [backup-simplify]: Simplify (+ 0 0) into 0 7.356 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 7.356 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify (- 0) into 0 7.357 * [backup-simplify]: Simplify (+ 0 0) into 0 7.357 * [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 7.357 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify (- 0) into 0 7.358 * [backup-simplify]: Simplify (+ 0 0) into 0 7.359 * [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 7.359 * [backup-simplify]: Simplify 0 into 0 7.359 * [backup-simplify]: Simplify (- 0) into 0 7.359 * [backup-simplify]: Simplify (+ 0 0) into 0 7.360 * [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 7.360 * [backup-simplify]: Simplify 0 into 0 7.360 * [backup-simplify]: Simplify (- 0) into 0 7.360 * [backup-simplify]: Simplify (+ 0 0) into 0 7.361 * [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 7.361 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify (- 0) into 0 7.361 * [backup-simplify]: Simplify (+ 0 0) into 0 7.361 * [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 7.362 * [backup-simplify]: Simplify 0 into 0 7.362 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 7.362 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 7.362 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos x))) into (/ 1 (- 1.0 (cos x))) 7.362 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in (x) around 0 7.362 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in x 7.362 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 7.362 * [taylor]: Taking taylor expansion of 1.0 in x 7.362 * [backup-simplify]: Simplify 1.0 into 1.0 7.362 * [taylor]: Taking taylor expansion of (cos x) in x 7.362 * [taylor]: Taking taylor expansion of x in x 7.362 * [backup-simplify]: Simplify 0 into 0 7.362 * [backup-simplify]: Simplify 1 into 1 7.362 * [backup-simplify]: Simplify (- 1) into -1 7.362 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 7.363 * [backup-simplify]: Simplify (+ 0) into 0 7.363 * [backup-simplify]: Simplify (- 0) into 0 7.363 * [backup-simplify]: Simplify (+ 0 0) into 0 7.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 7.364 * [backup-simplify]: Simplify (- -1/2) into 1/2 7.364 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.365 * [backup-simplify]: Simplify (/ 1 1/2) into 2 7.365 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos x))) in x 7.365 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 7.365 * [taylor]: Taking taylor expansion of 1.0 in x 7.365 * [backup-simplify]: Simplify 1.0 into 1.0 7.365 * [taylor]: Taking taylor expansion of (cos x) in x 7.365 * [taylor]: Taking taylor expansion of x in x 7.365 * [backup-simplify]: Simplify 0 into 0 7.365 * [backup-simplify]: Simplify 1 into 1 7.365 * [backup-simplify]: Simplify (- 1) into -1 7.365 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 7.365 * [backup-simplify]: Simplify (+ 0) into 0 7.366 * [backup-simplify]: Simplify (- 0) into 0 7.366 * [backup-simplify]: Simplify (+ 0 0) into 0 7.367 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 7.367 * [backup-simplify]: Simplify (- -1/2) into 1/2 7.367 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.368 * [backup-simplify]: Simplify (/ 1 1/2) into 2 7.368 * [backup-simplify]: Simplify 2 into 2 7.368 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.369 * [backup-simplify]: Simplify (- 0) into 0 7.369 * [backup-simplify]: Simplify (+ 0 0) into 0 7.369 * [backup-simplify]: Simplify (- (+ (* 2 (/ 0 1/2)))) into 0 7.369 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 7.371 * [backup-simplify]: Simplify (- 1/24) into -1/24 7.371 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 7.372 * [backup-simplify]: Simplify (- (+ (* 2 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/6 7.372 * [backup-simplify]: Simplify 1/6 into 1/6 7.374 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.374 * [backup-simplify]: Simplify (- 0) into 0 7.374 * [backup-simplify]: Simplify (+ 0 0) into 0 7.375 * [backup-simplify]: Simplify (- (+ (* 2 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* 1/6 (/ 0 1/2)))) into 0 7.375 * [backup-simplify]: Simplify 0 into 0 7.378 * [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 7.378 * [backup-simplify]: Simplify (- -1/720) into 1/720 7.378 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 7.380 * [backup-simplify]: Simplify (- (+ (* 2 (/ 1/720 1/2)) (* 0 (/ 0 1/2)) (* 1/6 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into 1/120 7.380 * [backup-simplify]: Simplify 1/120 into 1/120 7.380 * [backup-simplify]: Simplify (+ (* 1/120 (pow x 2)) (+ 1/6 (* 2 (pow (/ 1 x) 2)))) into (+ (* 1/120 (pow x 2)) (+ (* 2 (/ 1 (pow x 2))) 1/6)) 7.380 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 7.380 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in (x) around 0 7.380 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in x 7.380 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 7.380 * [taylor]: Taking taylor expansion of 1.0 in x 7.380 * [backup-simplify]: Simplify 1.0 into 1.0 7.380 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.380 * [taylor]: Taking taylor expansion of x in x 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify 1 into 1 7.381 * [backup-simplify]: Simplify (/ 1 1) into 1 7.381 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.381 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 7.381 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 7.381 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 7.381 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ 1 x)))) in x 7.381 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 7.381 * [taylor]: Taking taylor expansion of 1.0 in x 7.381 * [backup-simplify]: Simplify 1.0 into 1.0 7.381 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 7.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.381 * [taylor]: Taking taylor expansion of x in x 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify 1 into 1 7.381 * [backup-simplify]: Simplify (/ 1 1) into 1 7.381 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 7.381 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 7.381 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 7.381 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 7.382 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 x)))) into (/ 1 (- 1.0 (cos (/ 1 x)))) 7.382 * [backup-simplify]: Simplify (- 0) into 0 7.382 * [backup-simplify]: Simplify (+ 0 0) into 0 7.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 7.382 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify (- 0) into 0 7.383 * [backup-simplify]: Simplify (+ 0 0) into 0 7.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify (- 0) into 0 7.384 * [backup-simplify]: Simplify (+ 0 0) into 0 7.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify (- 0) into 0 7.384 * [backup-simplify]: Simplify (+ 0 0) into 0 7.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify (- 0) into 0 7.385 * [backup-simplify]: Simplify (+ 0 0) into 0 7.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify (- 0) into 0 7.386 * [backup-simplify]: Simplify (+ 0 0) into 0 7.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 (/ 1 x))))) into (/ 1 (- 1.0 (cos x))) 7.387 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ 1 (- x))))) into (/ 1 (- 1.0 (cos (/ -1 x)))) 7.387 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in (x) around 0 7.387 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in x 7.387 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 7.387 * [taylor]: Taking taylor expansion of 1.0 in x 7.387 * [backup-simplify]: Simplify 1.0 into 1.0 7.387 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.387 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.387 * [taylor]: Taking taylor expansion of -1 in x 7.387 * [backup-simplify]: Simplify -1 into -1 7.387 * [taylor]: Taking taylor expansion of x in x 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify 1 into 1 7.388 * [backup-simplify]: Simplify (/ -1 1) into -1 7.388 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.388 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 7.388 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 7.388 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ -1 x)))) into (/ 1 (- 1.0 (cos (/ -1 x)))) 7.388 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (cos (/ -1 x)))) in x 7.388 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 7.388 * [taylor]: Taking taylor expansion of 1.0 in x 7.388 * [backup-simplify]: Simplify 1.0 into 1.0 7.388 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 7.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.388 * [taylor]: Taking taylor expansion of -1 in x 7.388 * [backup-simplify]: Simplify -1 into -1 7.388 * [taylor]: Taking taylor expansion of x in x 7.388 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify 1 into 1 7.388 * [backup-simplify]: Simplify (/ -1 1) into -1 7.388 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 7.388 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 7.389 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 7.389 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ -1 x)))) into (/ 1 (- 1.0 (cos (/ -1 x)))) 7.389 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ -1 x)))) into (/ 1 (- 1.0 (cos (/ -1 x)))) 7.389 * [backup-simplify]: Simplify (- 0) into 0 7.389 * [backup-simplify]: Simplify (+ 0 0) into 0 7.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 7.389 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify (- 0) into 0 7.390 * [backup-simplify]: Simplify (+ 0 0) into 0 7.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 7.390 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify (- 0) into 0 7.391 * [backup-simplify]: Simplify (+ 0 0) into 0 7.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify (- 0) into 0 7.392 * [backup-simplify]: Simplify (+ 0 0) into 0 7.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 7.392 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify (- 0) into 0 7.393 * [backup-simplify]: Simplify (+ 0 0) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 7.394 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify (- 0) into 0 7.395 * [backup-simplify]: Simplify (+ 0 0) into 0 7.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify (/ 1 (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (/ 1 (- 1.0 (cos x))) 7.396 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 7.396 * [backup-simplify]: Simplify (/ 1 (sin x)) into (/ 1 (sin x)) 7.396 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 7.396 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 7.396 * [taylor]: Taking taylor expansion of (sin x) in x 7.396 * [taylor]: Taking taylor expansion of x in x 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 1 into 1 7.397 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.402 * [backup-simplify]: Simplify (/ 1 1) into 1 7.402 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x 7.402 * [taylor]: Taking taylor expansion of (sin x) in x 7.402 * [taylor]: Taking taylor expansion of x in x 7.402 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify 1 into 1 7.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.404 * [backup-simplify]: Simplify (/ 1 1) into 1 7.404 * [backup-simplify]: Simplify 1 into 1 7.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.406 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6 7.409 * [backup-simplify]: Simplify 1/6 into 1/6 7.411 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0 7.412 * [backup-simplify]: Simplify 0 into 0 7.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 7.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360 7.416 * [backup-simplify]: Simplify 7/360 into 7/360 7.417 * [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))) 7.417 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 7.417 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 7.417 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 7.417 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.417 * [taylor]: Taking taylor expansion of x in x 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify 1 into 1 7.417 * [backup-simplify]: Simplify (/ 1 1) into 1 7.417 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.417 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 7.417 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x 7.417 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 7.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.417 * [taylor]: Taking taylor expansion of x in x 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify 1 into 1 7.418 * [backup-simplify]: Simplify (/ 1 1) into 1 7.418 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 7.418 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 7.418 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) 7.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 7.418 * [backup-simplify]: Simplify 0 into 0 7.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 7.418 * [backup-simplify]: Simplify 0 into 0 7.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 7.418 * [backup-simplify]: Simplify 0 into 0 7.419 * [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 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [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 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [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 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 (/ 1 x)))) into (/ 1 (sin x)) 7.419 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 (- x)))) into (/ 1 (sin (/ -1 x))) 7.419 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0 7.419 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 7.419 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.420 * [taylor]: Taking taylor expansion of -1 in x 7.420 * [backup-simplify]: Simplify -1 into -1 7.420 * [taylor]: Taking taylor expansion of x in x 7.420 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify 1 into 1 7.420 * [backup-simplify]: Simplify (/ -1 1) into -1 7.420 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.420 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) 7.420 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x 7.420 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 7.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.420 * [taylor]: Taking taylor expansion of -1 in x 7.420 * [backup-simplify]: Simplify -1 into -1 7.420 * [taylor]: Taking taylor expansion of x in x 7.420 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify 1 into 1 7.420 * [backup-simplify]: Simplify (/ -1 1) into -1 7.420 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 7.421 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) 7.421 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) 7.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 7.421 * [backup-simplify]: Simplify 0 into 0 7.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 7.421 * [backup-simplify]: Simplify 0 into 0 7.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 7.421 * [backup-simplify]: Simplify 0 into 0 7.421 * [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 7.421 * [backup-simplify]: Simplify 0 into 0 7.422 * [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 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [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 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 (/ 1 (- x))))) into (/ 1 (sin x)) 7.422 * * * [progress]: simplifying candidates 7.430 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- 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(/ 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)) (+ (* 1/120 (pow x 2)) (+ (* 2 (/ 1 (pow x 2))) 1/6)) (/ 1 (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (+ (* 1/6 x) (+ (* 7/360 (pow x 3)) (/ 1 x))) (/ 1 (sin x)) (/ 1 (sin x)) 7.440 * * [simplify]: iteration 0: 608 enodes 8.124 * * [simplify]: iteration 1: 2073 enodes 8.763 * * [simplify]: iteration complete: 5000 enodes 8.764 * * [simplify]: Extracting #0: cost 153 inf + 0 8.779 * * [simplify]: Extracting #1: cost 1631 inf + 2 8.790 * * [simplify]: Extracting #2: cost 1700 inf + 6482 8.806 * * [simplify]: Extracting #3: cost 1539 inf + 31364 8.836 * * [simplify]: Extracting #4: cost 838 inf + 184380 8.883 * * [simplify]: Extracting #5: cost 215 inf + 357929 8.946 * * [simplify]: Extracting #6: cost 11 inf + 419679 9.059 * * [simplify]: Extracting #7: cost 0 inf + 423711 9.149 * [simplify]: Simplified to: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (fma (cos x) -1 (cos x)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (fma (cos x) -1 (cos x)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (cos x))) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (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))) (* (* (- 1.0 (cos x)) (- 1.0 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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) (fma 1/2 (* x x) (- (* 1/720 (* (* (* x x) x) (* (* x x) x))) (* 1/24 (* (* x x) (* x x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma x 1/2 (fma 1/240 (pow x 5) (* 1/24 (* (* x x) x)))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (+ (fma 1/120 (* x x) (/ 2 (* x x))) 1/6) (/ 1 (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (fma x 1/6 (fma 7/360 (* (* x x) x) (/ 1 x))) (/ 1 (sin x)) (/ 1 (sin x)) 9.228 * * * [progress]: adding candidates to table 10.461 * [progress]: [Phase 3 of 3] Extracting. 10.462 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 10.463 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 10.463 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # #) 10.570 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 10.679 * * * [regime]: Found split indices: #