12.486 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.193 * * * [progress]: [2/2] Setting up program. 0.197 * [progress]: [Phase 2 of 3] Improving. 0.197 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (sin x)) 0.197 * * [simplify]: iteration 0: 6 enodes 0.199 * * [simplify]: iteration 1: 11 enodes 0.202 * * [simplify]: iteration 2: 14 enodes 0.205 * * [simplify]: iteration 3: 16 enodes 0.208 * * [simplify]: iteration complete: 16 enodes 0.208 * * [simplify]: Extracting #0: cost 1 inf + 0 0.208 * * [simplify]: Extracting #1: cost 6 inf + 0 0.208 * * [simplify]: Extracting #2: cost 10 inf + 0 0.208 * * [simplify]: Extracting #3: cost 3 inf + 20 0.208 * * [simplify]: Extracting #4: cost 0 inf + 35 0.208 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.209 * * [progress]: iteration 1 / 4 0.209 * * * [progress]: picking best candidate 0.251 * * * * [pick]: Picked # 0.251 * * * [progress]: localizing error 0.276 * * * [progress]: generating rewritten candidates 0.276 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.286 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.314 * * * [progress]: generating series expansions 0.314 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.314 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.314 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.314 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [backup-simplify]: Simplify 1.0 into 1.0 0.314 * [taylor]: Taking taylor expansion of (cos x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [backup-simplify]: Simplify 1.0 into 1.0 0.314 * [taylor]: Taking taylor expansion of (cos x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (- 1) into -1 0.316 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ 0) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.319 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.320 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.320 * [backup-simplify]: Simplify 1/2 into 1/2 0.321 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.325 * [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 0.326 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.326 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.326 * [backup-simplify]: Simplify -1/24 into -1/24 0.328 * [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 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.334 * [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 0.335 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.335 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.335 * [backup-simplify]: Simplify 1/720 into 1/720 0.336 * [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))) 0.336 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.336 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [backup-simplify]: Simplify 1.0 into 1.0 0.337 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.338 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.338 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.338 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 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 (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.343 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.343 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.343 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [backup-simplify]: Simplify 1.0 into 1.0 0.343 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.343 * [taylor]: Taking taylor expansion of -1 in x 0.343 * [backup-simplify]: Simplify -1 into -1 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ -1 1) into -1 0.344 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.344 * [taylor]: Taking taylor expansion of -1 in x 0.344 * [backup-simplify]: Simplify -1 into -1 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (/ -1 1) into -1 0.345 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.345 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.345 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.346 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.351 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.352 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 0.352 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.352 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [taylor]: Taking taylor expansion of (cos x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of (sin x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (- 1) into -1 0.353 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.353 * [backup-simplify]: Simplify (+ 0) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.355 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.356 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.357 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.357 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.357 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [backup-simplify]: Simplify 1.0 into 1.0 0.357 * [taylor]: Taking taylor expansion of (cos x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of (sin x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (- 1) into -1 0.358 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.359 * [backup-simplify]: Simplify (+ 0) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.361 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.361 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.362 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.362 * [backup-simplify]: Simplify 1/2 into 1/2 0.364 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.369 * [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 0.370 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.370 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.374 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 0.374 * [backup-simplify]: Simplify 1/24 into 1/24 0.376 * [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 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.385 * [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 0.386 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.386 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.390 * [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 0.392 * [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 0.392 * [backup-simplify]: Simplify 1/240 into 1/240 0.393 * [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)))) 0.393 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.393 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.393 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.393 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (/ 1 1) into 1 0.405 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.405 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.406 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.406 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.406 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [backup-simplify]: Simplify 1.0 into 1.0 0.406 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.407 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.407 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.407 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.408 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.408 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [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)))))) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 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)))))) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [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)))))) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [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 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (- 0) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [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 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 0.417 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.418 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.418 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [backup-simplify]: Simplify 1.0 into 1.0 0.418 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.418 * [taylor]: Taking taylor expansion of -1 in x 0.418 * [backup-simplify]: Simplify -1 into -1 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ -1 1) into -1 0.419 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.419 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.419 * [taylor]: Taking taylor expansion of -1 in x 0.419 * [backup-simplify]: Simplify -1 into -1 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ -1 1) into -1 0.419 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.419 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.419 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.420 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.420 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.420 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.420 * [backup-simplify]: Simplify 1.0 into 1.0 0.420 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.420 * [taylor]: Taking taylor expansion of -1 in x 0.420 * [backup-simplify]: Simplify -1 into -1 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ -1 1) into -1 0.420 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.420 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ -1 1) into -1 0.421 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.421 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.422 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.422 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.422 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [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)))))) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 (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 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [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 0.429 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (- 0) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (- (/ 0 (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 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 0.431 * * * [progress]: simplifying candidates 0.433 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.435 * * [simplify]: iteration 0: 106 enodes 0.473 * * [simplify]: iteration 1: 240 enodes 0.594 * * [simplify]: iteration 2: 805 enodes 0.922 * * [simplify]: iteration complete: 5000 enodes 0.922 * * [simplify]: Extracting #0: cost 54 inf + 0 0.924 * * [simplify]: Extracting #1: cost 652 inf + 1 0.933 * * [simplify]: Extracting #2: cost 1793 inf + 46 0.941 * * [simplify]: Extracting #3: cost 2330 inf + 172 0.949 * * [simplify]: Extracting #4: cost 1698 inf + 3293 0.957 * * [simplify]: Extracting #5: cost 514 inf + 12904 0.965 * * [simplify]: Extracting #6: cost 4 inf + 19473 0.981 * * [simplify]: Extracting #7: cost 0 inf + 19530 0.994 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (pow (/ (- 1.0 (cos x)) (sin x)) 3) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (sin x))) (cbrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (sin x)) (* (sin x) (+ 1.0 (cos x))) (+ (+ (* (pow x 4) -1/24) (* 1/2 (* x x))) (* (pow x 6) 1/720)) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/240 (pow x 5)) (* x (+ (* x (* x 1/24)) 1/2))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.995 * * * [progress]: adding candidates to table 1.282 * * [progress]: iteration 2 / 4 1.282 * * * [progress]: picking best candidate 1.352 * * * * [pick]: Picked # 1.352 * * * [progress]: localizing error 1.364 * * * [progress]: generating rewritten candidates 1.364 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 1.369 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.390 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.437 * * * [progress]: generating series expansions 1.437 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 1.437 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.437 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.437 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [backup-simplify]: Simplify 1.0 into 1.0 1.437 * [taylor]: Taking taylor expansion of (cos x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [backup-simplify]: Simplify 1.0 into 1.0 1.437 * [taylor]: Taking taylor expansion of (cos x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (- 1) into -1 1.439 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (+ 0) into 0 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.442 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.442 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.442 * [backup-simplify]: Simplify 1/2 into 1/2 1.444 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.444 * [backup-simplify]: Simplify (- 0) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.448 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.449 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.449 * [backup-simplify]: Simplify -1/24 into -1/24 1.451 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.452 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.458 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.458 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.458 * [backup-simplify]: Simplify 1/720 into 1/720 1.459 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 1.459 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.459 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.459 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.459 * [taylor]: Taking taylor expansion of 1.0 in x 1.459 * [backup-simplify]: Simplify 1.0 into 1.0 1.459 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (/ 1 1) into 1 1.460 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.460 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [backup-simplify]: Simplify 1.0 into 1.0 1.460 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.461 * [backup-simplify]: Simplify (/ 1 1) into 1 1.461 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.461 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.461 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.461 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.462 * [backup-simplify]: Simplify (- 0) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify (- 0) into 0 1.463 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify (- 0) into 0 1.464 * [backup-simplify]: Simplify (+ 0 0) into 0 1.464 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify (- 0) into 0 1.465 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (- 0) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (- 0) into 0 1.467 * [backup-simplify]: Simplify (+ 0 0) into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.467 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.467 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.468 * [taylor]: Taking taylor expansion of 1.0 in x 1.468 * [backup-simplify]: Simplify 1.0 into 1.0 1.468 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.468 * [taylor]: Taking taylor expansion of -1 in x 1.468 * [backup-simplify]: Simplify -1 into -1 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [backup-simplify]: Simplify (/ -1 1) into -1 1.469 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.469 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.469 * [taylor]: Taking taylor expansion of 1.0 in x 1.469 * [backup-simplify]: Simplify 1.0 into 1.0 1.469 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.469 * [taylor]: Taking taylor expansion of -1 in x 1.469 * [backup-simplify]: Simplify -1 into -1 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (/ -1 1) into -1 1.469 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.470 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.470 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.470 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.470 * [backup-simplify]: Simplify (- 0) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (- 0) into 0 1.473 * [backup-simplify]: Simplify (+ 0 0) into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (- 0) into 0 1.473 * [backup-simplify]: Simplify (+ 0 0) into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.474 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.474 * [backup-simplify]: Simplify (/ (sin x) (- 1.0 (cos x))) into (/ (sin x) (- 1.0 (cos x))) 1.474 * [approximate]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in (x) around 0 1.474 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 1.474 * [taylor]: Taking taylor expansion of (sin x) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.474 * [taylor]: Taking taylor expansion of 1.0 in x 1.474 * [backup-simplify]: Simplify 1.0 into 1.0 1.474 * [taylor]: Taking taylor expansion of (cos x) in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.475 * [backup-simplify]: Simplify (- 1) into -1 1.476 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.476 * [backup-simplify]: Simplify (+ 0) into 0 1.476 * [backup-simplify]: Simplify (- 0) into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.477 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.477 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.477 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.478 * [backup-simplify]: Simplify (/ 1 1/2) into 2 1.478 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 1.478 * [taylor]: Taking taylor expansion of (sin x) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [backup-simplify]: Simplify 1.0 into 1.0 1.478 * [taylor]: Taking taylor expansion of (cos x) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.478 * [backup-simplify]: Simplify (- 1) into -1 1.479 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.479 * [backup-simplify]: Simplify (+ 0) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.479 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.480 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.481 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.481 * [backup-simplify]: Simplify (/ 1 1/2) into 2 1.481 * [backup-simplify]: Simplify 2 into 2 1.482 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.482 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.483 * [backup-simplify]: Simplify (- 0) into 0 1.483 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.486 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.487 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.488 * [backup-simplify]: Simplify (- (/ -1/6 1/2) (+ (* 2 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/6 1.488 * [backup-simplify]: Simplify -1/6 into -1/6 1.489 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.490 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.490 * [backup-simplify]: Simplify (- 0) into 0 1.490 * [backup-simplify]: Simplify (+ 0 0) into 0 1.491 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* -1/6 (/ 0 1/2)))) into 0 1.491 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 1.499 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.500 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.500 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.502 * [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 1.502 * [backup-simplify]: Simplify -1/360 into -1/360 1.503 * [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)))) 1.503 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 1.503 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.503 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 1.503 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.504 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.504 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.504 * [taylor]: Taking taylor expansion of 1.0 in x 1.504 * [backup-simplify]: Simplify 1.0 into 1.0 1.504 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (/ 1 1) into 1 1.505 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.505 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.505 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.505 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 1.505 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 1.505 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (/ 1 1) into 1 1.506 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.506 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.506 * [taylor]: Taking taylor expansion of 1.0 in x 1.506 * [backup-simplify]: Simplify 1.0 into 1.0 1.506 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (/ 1 1) into 1 1.507 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.507 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.507 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.507 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 1.507 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 1.508 * [backup-simplify]: Simplify (- 0) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [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 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (- 0) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.510 * [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 1.510 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify (- 0) into 0 1.511 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [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 1.512 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify (- 0) into 0 1.513 * [backup-simplify]: Simplify (+ 0 0) into 0 1.514 * [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 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.514 * [backup-simplify]: Simplify (+ 0 0) into 0 1.515 * [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 1.515 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify (- 0) into 0 1.516 * [backup-simplify]: Simplify (+ 0 0) into 0 1.517 * [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 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify (/ (sin (/ 1 (/ 1 x))) (- 1.0 (cos (/ 1 (/ 1 x))))) into (/ (sin x) (- 1.0 (cos x))) 1.518 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (- 1.0 (cos (/ 1 (- x))))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 1.518 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.518 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 1.518 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.518 * [taylor]: Taking taylor expansion of -1 in x 1.518 * [backup-simplify]: Simplify -1 into -1 1.518 * [taylor]: Taking taylor expansion of x in x 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [backup-simplify]: Simplify (/ -1 1) into -1 1.519 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.519 * [taylor]: Taking taylor expansion of 1.0 in x 1.519 * [backup-simplify]: Simplify 1.0 into 1.0 1.519 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.519 * [taylor]: Taking taylor expansion of -1 in x 1.519 * [backup-simplify]: Simplify -1 into -1 1.519 * [taylor]: Taking taylor expansion of x in x 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (/ -1 1) into -1 1.519 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.519 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.520 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.520 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 1.520 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 1.520 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.520 * [taylor]: Taking taylor expansion of -1 in x 1.520 * [backup-simplify]: Simplify -1 into -1 1.520 * [taylor]: Taking taylor expansion of x in x 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.521 * [backup-simplify]: Simplify (/ -1 1) into -1 1.521 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.521 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.521 * [taylor]: Taking taylor expansion of 1.0 in x 1.521 * [backup-simplify]: Simplify 1.0 into 1.0 1.521 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.521 * [taylor]: Taking taylor expansion of -1 in x 1.521 * [backup-simplify]: Simplify -1 into -1 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [backup-simplify]: Simplify (/ -1 1) into -1 1.521 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.522 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.522 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.522 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 1.522 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 1.523 * [backup-simplify]: Simplify (- 0) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [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 1.523 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify (- 0) into 0 1.524 * [backup-simplify]: Simplify (+ 0 0) into 0 1.525 * [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 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (- 0) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [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 1.526 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (- 0) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [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 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (- 0) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [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 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (- 0) into 0 1.531 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [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 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (/ (sin (/ -1 (/ 1 (- x)))) (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (/ (sin x) (- 1.0 (cos x))) 1.532 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.533 * [backup-simplify]: Simplify (/ 1 (/ (sin x) (- 1.0 (cos x)))) into (/ (- 1.0 (cos x)) (sin x)) 1.533 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 1.533 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.533 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.533 * [taylor]: Taking taylor expansion of 1.0 in x 1.533 * [backup-simplify]: Simplify 1.0 into 1.0 1.533 * [taylor]: Taking taylor expansion of (cos x) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [taylor]: Taking taylor expansion of (sin x) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (- 1) into -1 1.534 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.534 * [backup-simplify]: Simplify (+ 0) into 0 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.536 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.537 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.538 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.541 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 1.542 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.542 * [taylor]: Taking taylor expansion of 1.0 in x 1.542 * [backup-simplify]: Simplify 1.0 into 1.0 1.542 * [taylor]: Taking taylor expansion of (cos x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [taylor]: Taking taylor expansion of (sin x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (- 1) into -1 1.543 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.543 * [backup-simplify]: Simplify (+ 0) into 0 1.544 * [backup-simplify]: Simplify (- 0) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.546 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.546 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.547 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.548 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.548 * [backup-simplify]: Simplify 1/2 into 1/2 1.549 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.549 * [backup-simplify]: Simplify (- 0) into 0 1.550 * [backup-simplify]: Simplify (+ 0 0) into 0 1.550 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.551 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.555 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.555 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.559 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 1.559 * [backup-simplify]: Simplify 1/24 into 1/24 1.561 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.563 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.570 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.571 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.574 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 1.577 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/240 1.577 * [backup-simplify]: Simplify 1/240 into 1/240 1.577 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) 1.578 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x))))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.578 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 1.578 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.578 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.578 * [taylor]: Taking taylor expansion of 1.0 in x 1.578 * [backup-simplify]: Simplify 1.0 into 1.0 1.578 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (/ 1 1) into 1 1.578 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.578 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (/ 1 1) into 1 1.579 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.579 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.579 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.579 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.579 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 1.580 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.580 * [taylor]: Taking taylor expansion of 1.0 in x 1.580 * [backup-simplify]: Simplify 1.0 into 1.0 1.580 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (/ 1 1) into 1 1.580 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.580 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (/ 1 1) into 1 1.581 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 1.581 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.581 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.581 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.581 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 1.582 * [backup-simplify]: Simplify (- 0) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.583 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (- 0) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (- 0) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.588 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (- 0) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.590 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 1.591 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1 (- x))) (- 1.0 (cos (/ 1 (- x)))))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.591 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 1.591 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.591 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.591 * [taylor]: Taking taylor expansion of 1.0 in x 1.591 * [backup-simplify]: Simplify 1.0 into 1.0 1.591 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.591 * [taylor]: Taking taylor expansion of -1 in x 1.591 * [backup-simplify]: Simplify -1 into -1 1.591 * [taylor]: Taking taylor expansion of x in x 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (/ -1 1) into -1 1.592 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.592 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.592 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.592 * [taylor]: Taking taylor expansion of -1 in x 1.592 * [backup-simplify]: Simplify -1 into -1 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (/ -1 1) into -1 1.592 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.593 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.593 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.593 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.593 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 1.593 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [backup-simplify]: Simplify 1.0 into 1.0 1.593 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.593 * [taylor]: Taking taylor expansion of -1 in x 1.593 * [backup-simplify]: Simplify -1 into -1 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (/ -1 1) into -1 1.594 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.594 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.594 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.594 * [taylor]: Taking taylor expansion of -1 in x 1.594 * [backup-simplify]: Simplify -1 into -1 1.594 * [taylor]: Taking taylor expansion of x in x 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (/ -1 1) into -1 1.594 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 1.595 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.595 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.595 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.595 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.596 * [backup-simplify]: Simplify (+ 0 0) into 0 1.596 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (- 0) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ 0 0) into 0 1.599 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (+ 0 0) into 0 1.603 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify (- 0) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.605 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 1.605 * * * [progress]: simplifying candidates 1.610 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (log (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 (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) 1) (/ (sin x) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) 1) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3))) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x)))) (- 1) (- (- (log (sin x)) (log (- 1.0 (cos x))))) (- (log (/ (sin x) (- 1.0 (cos x))))) (- 0 (- (log (sin x)) (log (- 1.0 (cos x))))) (- 0 (log (/ (sin x) (- 1.0 (cos x))))) (- (log 1) (- (log (sin x)) (log (- 1.0 (cos x))))) (- (log 1) (log (/ (sin x) (- 1.0 (cos x))))) (log (/ 1 (/ (sin x) (- 1.0 (cos x))))) (exp (/ 1 (/ (sin x) (- 1.0 (cos x))))) (/ (* (* 1 1) 1) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))))) (/ (* (* 1 1) 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)))) (/ 1 (/ (sin x) (- 1.0 (cos x))))) (/ 1 (/ (sin x) (- 1.0 (cos x))))) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (- 1) (- (/ (sin x) (- 1.0 (cos x)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x)))))) (/ (cbrt 1) (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (cbrt 1) (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ (cbrt 1) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x))))) (/ (cbrt 1) (/ (cbrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1)) (/ (cbrt 1) (/ (cbrt (sin 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(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)) 1.616 * * [simplify]: iteration 0: 239 enodes 1.721 * * [simplify]: iteration 1: 583 enodes 1.964 * * [simplify]: iteration 2: 2765 enodes 3.063 * * [simplify]: iteration complete: 5004 enodes 3.064 * * [simplify]: Extracting #0: cost 92 inf + 0 3.066 * * [simplify]: Extracting #1: cost 729 inf + 2 3.070 * * [simplify]: Extracting #2: cost 1119 inf + 19 3.075 * * [simplify]: Extracting #3: cost 905 inf + 2364 3.080 * * [simplify]: Extracting #4: cost 157 inf + 9046 3.084 * * [simplify]: Extracting #5: cost 12 inf + 10437 3.089 * * [simplify]: Extracting #6: cost 2 inf + 10463 3.094 * * [simplify]: Extracting #7: cost 0 inf + 10473 3.103 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 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(- 1.0 (cos x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (/ 1 (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x)) (/ 1 (+ (cos x) 1.0)) (/ (/ 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))))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin 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))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ (- 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))) (/ (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 (cos x)) (sqrt 1.0)) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 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))) (/ (sqrt (- 1.0 (cos x))) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (- 1.0 (cos x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (/ 1 (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x)) (/ 1 (+ (cos x) 1.0)) (/ (- 1.0 (cos x)) (sin 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))))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt (sin x))) (/ 1 (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt (cos x)) (sqrt 1.0)) 1 1 (/ 1 (sin x)) (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x)) (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ 1 (sin x)) (+ (* -1/24 (pow x 4)) (+ (* (pow x 2) 1/2) (* 1/720 (pow x 6)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- (/ 2 x) (* (pow x 3) 1/360)) (* x 1/6)) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (+ (+ (* 1/2 x) (* (pow x 5) 1/240)) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 3.104 * * * [progress]: adding candidates to table 3.477 * * [progress]: iteration 3 / 4 3.477 * * * [progress]: picking best candidate 3.534 * * * * [pick]: Picked # 3.535 * * * [progress]: localizing error 3.576 * * * [progress]: generating rewritten candidates 3.576 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 3.585 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 3.596 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.605 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.649 * * * [progress]: generating series expansions 3.649 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 3.649 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 3.649 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 3.649 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.649 * [taylor]: Taking taylor expansion of 1.0 in x 3.649 * [backup-simplify]: Simplify 1.0 into 1.0 3.649 * [taylor]: Taking taylor expansion of (cos x) in x 3.649 * [taylor]: Taking taylor expansion of x in x 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.649 * [taylor]: Taking taylor expansion of 1.0 in x 3.649 * [backup-simplify]: Simplify 1.0 into 1.0 3.649 * [taylor]: Taking taylor expansion of (cos x) in x 3.649 * [taylor]: Taking taylor expansion of x in x 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.650 * [backup-simplify]: Simplify (- 1) into -1 3.650 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify (+ 0) into 0 3.650 * [backup-simplify]: Simplify (- 0) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.651 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.652 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.652 * [backup-simplify]: Simplify 1/2 into 1/2 3.652 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.653 * [backup-simplify]: Simplify (- 0) into 0 3.653 * [backup-simplify]: Simplify (+ 0 0) into 0 3.653 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.654 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.655 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.655 * [backup-simplify]: Simplify -1/24 into -1/24 3.656 * [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 3.656 * [backup-simplify]: Simplify (- 0) into 0 3.656 * [backup-simplify]: Simplify (+ 0 0) into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.659 * [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 3.660 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.660 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.660 * [backup-simplify]: Simplify 1/720 into 1/720 3.660 * [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))) 3.660 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.660 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 3.660 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.660 * [taylor]: Taking taylor expansion of 1.0 in x 3.660 * [backup-simplify]: Simplify 1.0 into 1.0 3.661 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.661 * [taylor]: Taking taylor expansion of x in x 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 1 into 1 3.661 * [backup-simplify]: Simplify (/ 1 1) into 1 3.661 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.661 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.661 * [taylor]: Taking taylor expansion of 1.0 in x 3.661 * [backup-simplify]: Simplify 1.0 into 1.0 3.661 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.661 * [taylor]: Taking taylor expansion of x in x 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 1 into 1 3.661 * [backup-simplify]: Simplify (/ 1 1) into 1 3.661 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.661 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.661 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.662 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 3.662 * [backup-simplify]: Simplify (- 0) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify (- 0) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify (- 0) into 0 3.663 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify (- 0) into 0 3.663 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify (- 0) into 0 3.664 * [backup-simplify]: Simplify (+ 0 0) into 0 3.664 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify (- 0) into 0 3.664 * [backup-simplify]: Simplify (+ 0 0) into 0 3.664 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 3.665 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 3.665 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 3.665 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.665 * [taylor]: Taking taylor expansion of 1.0 in x 3.665 * [backup-simplify]: Simplify 1.0 into 1.0 3.665 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.665 * [taylor]: Taking taylor expansion of -1 in x 3.665 * [backup-simplify]: Simplify -1 into -1 3.665 * [taylor]: Taking taylor expansion of x in x 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [backup-simplify]: Simplify (/ -1 1) into -1 3.665 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.665 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.665 * [taylor]: Taking taylor expansion of 1.0 in x 3.665 * [backup-simplify]: Simplify 1.0 into 1.0 3.665 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.665 * [taylor]: Taking taylor expansion of -1 in x 3.665 * [backup-simplify]: Simplify -1 into -1 3.665 * [taylor]: Taking taylor expansion of x in x 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 1 into 1 3.666 * [backup-simplify]: Simplify (/ -1 1) into -1 3.666 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.666 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.666 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.666 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 3.666 * [backup-simplify]: Simplify (- 0) into 0 3.666 * [backup-simplify]: Simplify (+ 0 0) into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (- 0) into 0 3.667 * [backup-simplify]: Simplify (+ 0 0) into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (- 0) into 0 3.667 * [backup-simplify]: Simplify (+ 0 0) into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify (- 0) into 0 3.668 * [backup-simplify]: Simplify (+ 0 0) into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify (- 0) into 0 3.669 * [backup-simplify]: Simplify (+ 0 0) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (- 0) into 0 3.669 * [backup-simplify]: Simplify (+ 0 0) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 3.669 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 3.669 * [backup-simplify]: Simplify (+ (cos x) 1.0) into (+ (cos x) 1.0) 3.669 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 3.669 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 3.669 * [taylor]: Taking taylor expansion of (cos x) in x 3.669 * [taylor]: Taking taylor expansion of x in x 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of 1.0 in x 3.670 * [backup-simplify]: Simplify 1.0 into 1.0 3.670 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 3.670 * [taylor]: Taking taylor expansion of (cos x) in x 3.670 * [taylor]: Taking taylor expansion of x in x 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of 1.0 in x 3.670 * [backup-simplify]: Simplify 1.0 into 1.0 3.670 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 3.670 * [backup-simplify]: Simplify 2.0 into 2.0 3.670 * [backup-simplify]: Simplify (+ 0) into 0 3.670 * [backup-simplify]: Simplify (+ 0 0) into 0 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.671 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.671 * [backup-simplify]: Simplify -1/2 into -1/2 3.672 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.672 * [backup-simplify]: Simplify (+ 0 0) into 0 3.672 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.675 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.675 * [backup-simplify]: Simplify 1/24 into 1/24 3.675 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2.0)) into (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) 3.675 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 3.675 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 3.675 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 3.675 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.675 * [taylor]: Taking taylor expansion of x in x 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [backup-simplify]: Simplify (/ 1 1) into 1 3.676 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.676 * [taylor]: Taking taylor expansion of 1.0 in x 3.676 * [backup-simplify]: Simplify 1.0 into 1.0 3.676 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 3.676 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.676 * [taylor]: Taking taylor expansion of x in x 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 1 into 1 3.676 * [backup-simplify]: Simplify (/ 1 1) into 1 3.676 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.676 * [taylor]: Taking taylor expansion of 1.0 in x 3.676 * [backup-simplify]: Simplify 1.0 into 1.0 3.676 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 3.676 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 3.676 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (+ 0 0) into 0 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (+ 0 0) into 0 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (+ 0 0) into 0 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (+ 0 0) into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify (+ 0 0) into 0 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1.0) into (+ (cos x) 1.0) 3.678 * [backup-simplify]: Simplify (+ (cos (/ 1 (- x))) 1.0) into (+ (cos (/ -1 x)) 1.0) 3.678 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 3.678 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 3.678 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.678 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.678 * [taylor]: Taking taylor expansion of -1 in x 3.678 * [backup-simplify]: Simplify -1 into -1 3.678 * [taylor]: Taking taylor expansion of x in x 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (/ -1 1) into -1 3.678 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.678 * [taylor]: Taking taylor expansion of 1.0 in x 3.679 * [backup-simplify]: Simplify 1.0 into 1.0 3.679 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 3.679 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.679 * [taylor]: Taking taylor expansion of -1 in x 3.679 * [backup-simplify]: Simplify -1 into -1 3.679 * [taylor]: Taking taylor expansion of x in x 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (/ -1 1) into -1 3.679 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.679 * [taylor]: Taking taylor expansion of 1.0 in x 3.679 * [backup-simplify]: Simplify 1.0 into 1.0 3.679 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 3.679 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 3.679 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify (+ 0 0) into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1.0) into (+ (cos x) 1.0) 3.681 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.681 * [backup-simplify]: Simplify (+ 1.0 (cos x)) into (+ (cos x) 1.0) 3.681 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 3.681 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 3.681 * [taylor]: Taking taylor expansion of (cos x) in x 3.681 * [taylor]: Taking taylor expansion of x in x 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [taylor]: Taking taylor expansion of 1.0 in x 3.681 * [backup-simplify]: Simplify 1.0 into 1.0 3.681 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 3.681 * [taylor]: Taking taylor expansion of (cos x) in x 3.681 * [taylor]: Taking taylor expansion of x in x 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [taylor]: Taking taylor expansion of 1.0 in x 3.681 * [backup-simplify]: Simplify 1.0 into 1.0 3.682 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 3.682 * [backup-simplify]: Simplify 2.0 into 2.0 3.682 * [backup-simplify]: Simplify (+ 0) into 0 3.682 * [backup-simplify]: Simplify (+ 0 0) into 0 3.682 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.683 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.683 * [backup-simplify]: Simplify -1/2 into -1/2 3.684 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.684 * [backup-simplify]: Simplify (+ 0 0) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.687 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.687 * [backup-simplify]: Simplify 1/24 into 1/24 3.688 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2.0)) into (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) 3.688 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1.0) 3.688 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 3.688 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 3.688 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.688 * [taylor]: Taking taylor expansion of x in x 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify 1 into 1 3.688 * [backup-simplify]: Simplify (/ 1 1) into 1 3.689 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.689 * [taylor]: Taking taylor expansion of 1.0 in x 3.689 * [backup-simplify]: Simplify 1.0 into 1.0 3.689 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 3.689 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.689 * [taylor]: Taking taylor expansion of x in x 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 1 into 1 3.689 * [backup-simplify]: Simplify (/ 1 1) into 1 3.689 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.689 * [taylor]: Taking taylor expansion of 1.0 in x 3.689 * [backup-simplify]: Simplify 1.0 into 1.0 3.690 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 3.690 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify (+ 0 0) into 0 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify (+ 0 0) into 0 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify (+ 0 0) into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify (+ 0 0) into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify (+ 0 0) into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1.0) into (+ (cos x) 1.0) 3.693 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1.0) 3.693 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 3.693 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 3.693 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.693 * [taylor]: Taking taylor expansion of -1 in x 3.693 * [backup-simplify]: Simplify -1 into -1 3.693 * [taylor]: Taking taylor expansion of x in x 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [backup-simplify]: Simplify (/ -1 1) into -1 3.693 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.694 * [taylor]: Taking taylor expansion of 1.0 in x 3.694 * [backup-simplify]: Simplify 1.0 into 1.0 3.694 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 3.694 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.694 * [taylor]: Taking taylor expansion of -1 in x 3.694 * [backup-simplify]: Simplify -1 into -1 3.694 * [taylor]: Taking taylor expansion of x in x 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify (/ -1 1) into -1 3.694 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.694 * [taylor]: Taking taylor expansion of 1.0 in x 3.694 * [backup-simplify]: Simplify 1.0 into 1.0 3.695 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 3.695 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 3.695 * [backup-simplify]: Simplify (+ 0 0) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify (+ 0 0) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1.0) into (+ (cos x) 1.0) 3.697 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.698 * [backup-simplify]: Simplify (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x)) into (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sin x)) 3.698 * [approximate]: Taking taylor expansion of (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sin x)) in (x) around 0 3.698 * [taylor]: Taking taylor expansion of (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sin x)) in x 3.698 * [taylor]: Taking taylor expansion of (* (+ (cos x) 1.0) (- 1.0 (cos x))) in x 3.698 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 3.698 * [taylor]: Taking taylor expansion of (cos x) in x 3.698 * [taylor]: Taking taylor expansion of x in x 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [taylor]: Taking taylor expansion of 1.0 in x 3.698 * [backup-simplify]: Simplify 1.0 into 1.0 3.698 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.698 * [taylor]: Taking taylor expansion of 1.0 in x 3.698 * [backup-simplify]: Simplify 1.0 into 1.0 3.698 * [taylor]: Taking taylor expansion of (cos x) in x 3.698 * [taylor]: Taking taylor expansion of x in x 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [taylor]: Taking taylor expansion of (sin x) in x 3.698 * [taylor]: Taking taylor expansion of x in x 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 3.699 * [backup-simplify]: Simplify (- 1) into -1 3.700 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.700 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.700 * [backup-simplify]: Simplify (+ 0) into 0 3.701 * [backup-simplify]: Simplify (- 0) into 0 3.701 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [backup-simplify]: Simplify (+ 0) into 0 3.702 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0 3.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.704 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.704 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.705 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.706 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.707 * [backup-simplify]: Simplify (+ (* 2.0 1/2) (+ (* 0 0) (* -1/2 0))) into 1.0 3.708 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.709 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.709 * [taylor]: Taking taylor expansion of (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sin x)) in x 3.709 * [taylor]: Taking taylor expansion of (* (+ (cos x) 1.0) (- 1.0 (cos x))) in x 3.709 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 3.709 * [taylor]: Taking taylor expansion of (cos x) in x 3.709 * [taylor]: Taking taylor expansion of x in x 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.709 * [taylor]: Taking taylor expansion of 1.0 in x 3.709 * [backup-simplify]: Simplify 1.0 into 1.0 3.709 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 3.709 * [taylor]: Taking taylor expansion of 1.0 in x 3.709 * [backup-simplify]: Simplify 1.0 into 1.0 3.709 * [taylor]: Taking taylor expansion of (cos x) in x 3.709 * [taylor]: Taking taylor expansion of x in x 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.709 * [taylor]: Taking taylor expansion of (sin x) in x 3.709 * [taylor]: Taking taylor expansion of x in x 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 3.710 * [backup-simplify]: Simplify (- 1) into -1 3.710 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 3.711 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.711 * [backup-simplify]: Simplify (+ 0) into 0 3.711 * [backup-simplify]: Simplify (- 0) into 0 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.712 * [backup-simplify]: Simplify (+ 0) into 0 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0 3.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.714 * [backup-simplify]: Simplify (- -1/2) into 1/2 3.714 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 3.716 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.718 * [backup-simplify]: Simplify (+ (* 2.0 1/2) (+ (* 0 0) (* -1/2 0))) into 1.0 3.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.719 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.719 * [backup-simplify]: Simplify 1.0 into 1.0 3.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.721 * [backup-simplify]: Simplify (- 0) into 0 3.721 * [backup-simplify]: Simplify (+ 0 0) into 0 3.722 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.722 * [backup-simplify]: Simplify (+ 0 0) into 0 3.724 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1/2) (+ (* -1/2 0) (* 0 0)))) into 0 3.725 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 3.726 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.729 * [backup-simplify]: Simplify (- 1/24) into -1/24 3.730 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 3.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 3.733 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 3.737 * [backup-simplify]: Simplify (+ (* 2.0 -1/24) (+ (* 0 0) (+ (* -1/2 1/2) (+ (* 0 0) (* 1/24 0))))) into (- 0.3333333333333333) 3.738 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.743 * [backup-simplify]: Simplify (- (/ (- 0.3333333333333333) 1) (+ (* 1.0 (/ -1/6 1)) (* 0 (/ 0 1)))) into (- 0.16666666666666666) 3.743 * [backup-simplify]: Simplify (- 0.16666666666666666) into (- 0.16666666666666666) 3.746 * [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 3.746 * [backup-simplify]: Simplify (- 0) into 0 3.746 * [backup-simplify]: Simplify (+ 0 0) into 0 3.749 * [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 3.749 * [backup-simplify]: Simplify (+ 0 0) into 0 3.751 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 -1/24) (+ (* -1/2 0) (+ (* 0 1/2) (+ (* 1/24 0) (* 0 0)))))) into 0 3.753 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ -1/6 1)) (* (- 0.16666666666666666) (/ 0 1)))) into 0 3.755 * [backup-simplify]: Simplify 0 into 0 3.760 * [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 3.761 * [backup-simplify]: Simplify (- -1/720) into 1/720 3.761 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 3.766 * [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 3.766 * [backup-simplify]: Simplify (+ -1/720 0) into -1/720 3.770 * [backup-simplify]: Simplify (+ (* 2.0 1/720) (+ (* 0 0) (+ (* -1/2 -1/24) (+ (* 0 0) (+ (* 1/24 1/2) (+ (* 0 0) (* -1/720 0))))))) into 0.04444444444444444 3.774 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.778 * [backup-simplify]: Simplify (- (/ 0.04444444444444444 1) (+ (* 1.0 (/ 1/120 1)) (* 0 (/ 0 1)) (* (- 0.16666666666666666) (/ -1/6 1)) (* 0 (/ 0 1)))) into 0.008333333333333331 3.778 * [backup-simplify]: Simplify 0.008333333333333331 into 0.008333333333333331 3.779 * [backup-simplify]: Simplify (+ (* 0.008333333333333331 (pow x 5)) (+ (* (- 0.16666666666666666) (pow x 3)) (* 1.0 x))) into (- (+ (* 1.0 x) (* 0.008333333333333331 (pow x 5))) (* 0.16666666666666666 (pow x 3))) 3.779 * [backup-simplify]: Simplify (/ (* (+ 1.0 (cos (/ 1 x))) (- 1.0 (cos (/ 1 x)))) (sin (/ 1 x))) into (/ (* (+ (cos (/ 1 x)) 1.0) (- 1.0 (cos (/ 1 x)))) (sin (/ 1 x))) 3.779 * [approximate]: Taking taylor expansion of (/ (* (+ (cos (/ 1 x)) 1.0) (- 1.0 (cos (/ 1 x)))) (sin (/ 1 x))) in (x) around 0 3.779 * [taylor]: Taking taylor expansion of (/ (* (+ (cos (/ 1 x)) 1.0) (- 1.0 (cos (/ 1 x)))) (sin (/ 1 x))) in x 3.779 * [taylor]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (- 1.0 (cos (/ 1 x)))) in x 3.779 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 3.779 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.779 * [taylor]: Taking taylor expansion of x in x 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (/ 1 1) into 1 3.780 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.780 * [taylor]: Taking taylor expansion of 1.0 in x 3.780 * [backup-simplify]: Simplify 1.0 into 1.0 3.780 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.780 * [taylor]: Taking taylor expansion of 1.0 in x 3.780 * [backup-simplify]: Simplify 1.0 into 1.0 3.780 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.780 * [taylor]: Taking taylor expansion of x in x 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (/ 1 1) into 1 3.780 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.780 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.780 * [taylor]: Taking taylor expansion of x in x 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (/ 1 1) into 1 3.781 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.781 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 3.781 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.781 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.781 * [backup-simplify]: Simplify (* (+ (cos (/ 1 x)) 1.0) (- 1.0 (cos (/ 1 x)))) into (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) 3.781 * [backup-simplify]: Simplify (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (sin (/ 1 x))) into (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (sin (/ 1 x))) 3.781 * [taylor]: Taking taylor expansion of (/ (* (+ (cos (/ 1 x)) 1.0) (- 1.0 (cos (/ 1 x)))) (sin (/ 1 x))) in x 3.781 * [taylor]: Taking taylor expansion of (* (+ (cos (/ 1 x)) 1.0) (- 1.0 (cos (/ 1 x)))) in x 3.781 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 3.781 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.782 * [taylor]: Taking taylor expansion of 1.0 in x 3.782 * [backup-simplify]: Simplify 1.0 into 1.0 3.782 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 3.782 * [taylor]: Taking taylor expansion of 1.0 in x 3.782 * [backup-simplify]: Simplify 1.0 into 1.0 3.782 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 3.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.782 * [taylor]: Taking taylor expansion of x in x 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 3.782 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 3.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.782 * [taylor]: Taking taylor expansion of x in x 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 3.782 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 3.783 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 3.783 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 3.783 * [backup-simplify]: Simplify (* (+ (cos (/ 1 x)) 1.0) (- 1.0 (cos (/ 1 x)))) into (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) 3.783 * [backup-simplify]: Simplify (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (sin (/ 1 x))) into (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (sin (/ 1 x))) 3.783 * [backup-simplify]: Simplify (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (sin (/ 1 x))) into (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (sin (/ 1 x))) 3.783 * [backup-simplify]: Simplify (- 0) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.784 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 3.784 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify (- 0) into 0 3.785 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 3.786 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (- 0) into 0 3.786 * [backup-simplify]: Simplify (+ 0 0) into 0 3.786 * [backup-simplify]: Simplify (+ 0 0) into 0 3.787 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 3.787 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (- 0) into 0 3.788 * [backup-simplify]: Simplify (+ 0 0) into 0 3.788 * [backup-simplify]: Simplify (+ 0 0) into 0 3.789 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 3.790 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (- 0) into 0 3.790 * [backup-simplify]: Simplify (+ 0 0) into 0 3.790 * [backup-simplify]: Simplify (+ 0 0) into 0 3.791 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 3.792 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (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 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify (- 0) into 0 3.792 * [backup-simplify]: Simplify (+ 0 0) into 0 3.793 * [backup-simplify]: Simplify (+ 0 0) into 0 3.794 * [backup-simplify]: Simplify (+ (* (+ (cos (/ 1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 3.794 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) (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 3.794 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (/ (* (- 1.0 (cos (/ 1 (/ 1 x)))) (+ (cos (/ 1 (/ 1 x))) 1.0)) (sin (/ 1 (/ 1 x)))) into (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sin x)) 3.795 * [backup-simplify]: Simplify (/ (* (+ 1.0 (cos (/ 1 (- x)))) (- 1.0 (cos (/ 1 (- x))))) (sin (/ 1 (- x)))) into (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) 3.795 * [approximate]: Taking taylor expansion of (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) in (x) around 0 3.795 * [taylor]: Taking taylor expansion of (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) in x 3.795 * [taylor]: Taking taylor expansion of (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) in x 3.795 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 3.795 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.795 * [taylor]: Taking taylor expansion of -1 in x 3.795 * [backup-simplify]: Simplify -1 into -1 3.795 * [taylor]: Taking taylor expansion of x in x 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.795 * [backup-simplify]: Simplify (/ -1 1) into -1 3.795 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.795 * [taylor]: Taking taylor expansion of 1.0 in x 3.795 * [backup-simplify]: Simplify 1.0 into 1.0 3.795 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.795 * [taylor]: Taking taylor expansion of 1.0 in x 3.795 * [backup-simplify]: Simplify 1.0 into 1.0 3.795 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.795 * [taylor]: Taking taylor expansion of -1 in x 3.795 * [backup-simplify]: Simplify -1 into -1 3.795 * [taylor]: Taking taylor expansion of x in x 3.795 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (/ -1 1) into -1 3.796 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.796 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.796 * [taylor]: Taking taylor expansion of -1 in x 3.796 * [backup-simplify]: Simplify -1 into -1 3.796 * [taylor]: Taking taylor expansion of x in x 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (/ -1 1) into -1 3.796 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.796 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 3.796 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.796 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.797 * [backup-simplify]: Simplify (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) into (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) 3.797 * [backup-simplify]: Simplify (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) into (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) 3.797 * [taylor]: Taking taylor expansion of (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) in x 3.797 * [taylor]: Taking taylor expansion of (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) in x 3.797 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 3.797 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.797 * [taylor]: Taking taylor expansion of -1 in x 3.797 * [backup-simplify]: Simplify -1 into -1 3.797 * [taylor]: Taking taylor expansion of x in x 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 1 into 1 3.797 * [backup-simplify]: Simplify (/ -1 1) into -1 3.797 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.797 * [taylor]: Taking taylor expansion of 1.0 in x 3.797 * [backup-simplify]: Simplify 1.0 into 1.0 3.797 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 3.797 * [taylor]: Taking taylor expansion of 1.0 in x 3.797 * [backup-simplify]: Simplify 1.0 into 1.0 3.797 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 3.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.797 * [taylor]: Taking taylor expansion of -1 in x 3.797 * [backup-simplify]: Simplify -1 into -1 3.797 * [taylor]: Taking taylor expansion of x in x 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 1 into 1 3.798 * [backup-simplify]: Simplify (/ -1 1) into -1 3.798 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 3.798 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 3.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.798 * [taylor]: Taking taylor expansion of -1 in x 3.798 * [backup-simplify]: Simplify -1 into -1 3.798 * [taylor]: Taking taylor expansion of x in x 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 1 into 1 3.798 * [backup-simplify]: Simplify (/ -1 1) into -1 3.798 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 3.798 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 3.798 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 3.798 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 3.798 * [backup-simplify]: Simplify (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) into (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) 3.799 * [backup-simplify]: Simplify (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) into (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) 3.799 * [backup-simplify]: Simplify (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) into (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) 3.799 * [backup-simplify]: Simplify (- 0) into 0 3.799 * [backup-simplify]: Simplify (+ 0 0) into 0 3.800 * [backup-simplify]: Simplify (+ 0 0) into 0 3.800 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 3.800 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (- 0) into 0 3.801 * [backup-simplify]: Simplify (+ 0 0) into 0 3.801 * [backup-simplify]: Simplify (+ 0 0) into 0 3.801 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 3.801 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 3.801 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (- 0) into 0 3.802 * [backup-simplify]: Simplify (+ 0 0) into 0 3.802 * [backup-simplify]: Simplify (+ 0 0) into 0 3.803 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 3.803 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify (- 0) into 0 3.804 * [backup-simplify]: Simplify (+ 0 0) into 0 3.804 * [backup-simplify]: Simplify (+ 0 0) into 0 3.805 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 3.805 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (* (+ (cos (/ -1 x)) 1.0) (- 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 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify (- 0) into 0 3.806 * [backup-simplify]: Simplify (+ 0 0) into 0 3.806 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 3.808 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (* (+ (cos (/ -1 x)) 1.0) (- 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 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (- 0) into 0 3.808 * [backup-simplify]: Simplify (+ 0 0) into 0 3.808 * [backup-simplify]: Simplify (+ 0 0) into 0 3.810 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 3.810 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (* (+ (cos (/ -1 x)) 1.0) (- 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 3.810 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify (/ (* (+ (cos (/ -1 (/ 1 (- x)))) 1.0) (- 1.0 (cos (/ -1 (/ 1 (- x)))))) (sin (/ -1 (/ 1 (- x))))) into (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sin x)) 3.811 * * * [progress]: simplifying candidates 3.812 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* (exp (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (* (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)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (log (+ 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (sin x))) (- (log (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (log (sin x))) (log (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x))) (exp (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x))) (/ (* (* (* (+ 1.0 (cos x)) (+ 1.0 (cos x))) (+ 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (* (sin x) (sin x)) (sin x))) (/ (* (* (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x))) (cbrt (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x)))) (cbrt (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x))) (* (* (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x)) (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x))) (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x))) (sqrt (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x))) (sqrt (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sin x))) (- (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (- (sin x)) (/ (+ 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (+ 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (+ 1.0 (cos x)) 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (+ 1.0 (cos x)) (- 1.0 (cos x))) 1) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (* (+ (* 1.0 1.0) (- (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (sin x) (* (+ (* 1.0 1.0) (- (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ 1.0 (cos x)))) (* (sin x) (* (- 1.0 (cos x)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* (sin x) (* (- 1.0 (cos 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))) (* (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)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 1.0 x) (* 0.008333333333333331 (pow x 5))) (* 0.16666666666666666 (pow x 3))) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sin x)) (/ (* (+ (cos x) 1.0) (- 1.0 (cos x))) (sin x)) 3.813 * * [simplify]: iteration 0: 137 enodes 3.846 * * [simplify]: iteration 1: 379 enodes 4.068 * * [simplify]: iteration 2: 1869 enodes 4.905 * * [simplify]: iteration complete: 5000 enodes 4.905 * * [simplify]: Extracting #0: cost 53 inf + 0 4.908 * * [simplify]: Extracting #1: cost 748 inf + 0 4.926 * * [simplify]: Extracting #2: cost 1478 inf + 20 4.933 * * [simplify]: Extracting #3: cost 1994 inf + 68 4.941 * * [simplify]: Extracting #4: cost 1857 inf + 970 4.949 * * [simplify]: Extracting #5: cost 1351 inf + 5366 4.957 * * [simplify]: Extracting #6: cost 308 inf + 21631 4.970 * * [simplify]: Extracting #7: cost 5 inf + 27577 4.986 * * [simplify]: Extracting #8: cost 0 inf + 27652 5.000 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (- (cos x)) (* (- 1.0 (cos x)) (+ 1.0 (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (+ 1.0 (cos x))) (log (+ 1.0 (cos x))) (exp (+ 1.0 (cos x))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (cbrt (+ 1.0 (cos x))) (pow (+ 1.0 (cos x)) 3) (sqrt (+ 1.0 (cos x))) (sqrt (+ 1.0 (cos x))) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (* (cos x) (- (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ 1.0 (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))) (pow (+ 1.0 (cos x)) 3) (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))) (* (- 1.0 (cos x)) (+ 1.0 (cos x))) (- 1.0 (cos x)) (+ 1.0 (cos x)) (log (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x)))) (log (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x)))) (log (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x)))) (exp (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x)))) (pow (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x))) 3) (pow (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x))) 3) (* (cbrt (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x)))) (cbrt (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x))))) (cbrt (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x)))) (pow (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x))) 3) (sqrt (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x)))) (sqrt (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x)))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (sin x)) (/ (/ (+ 1.0 (cos x)) (cbrt (sin x))) (cbrt (sin x))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (+ 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (+ 1.0 (cos x)) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (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)) (/ (sqrt (sin x)) (+ 1.0 (cos x)))) (* (- 1.0 (cos x)) (+ 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (* (* (sin x) (+ (* 1.0 1.0) (* (cos x) (- (cos x) 1.0)))) (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0))) (* (+ (* 1.0 1.0) (* (cos x) (- (cos x) 1.0))) (* (+ 1.0 (cos x)) (sin x))) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (* (- 1.0 (cos x)) (sin x))) (* (- 1.0 (cos x)) (* (+ 1.0 (cos x)) (sin x))) (* (+ (* (cos x) (+ 1.0 (cos x))) (* 1.0 1.0)) (sin x)) (* (+ 1.0 (cos x)) (sin x)) (* (sin x) (+ (* 1.0 1.0) (* (cos x) (- (cos x) 1.0)))) (* (- 1.0 (cos x)) (sin x)) (+ (* (pow x 6) 1/720) (+ (* 1/2 (* x x)) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ 2.0 (* 1/24 (pow x 4))) (* 1/2 (* x x))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ 2.0 (* 1/24 (pow x 4))) (* 1/2 (* x x))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 1.0 x) (* 0.008333333333333331 (pow x 5))) (* (pow x 3) 0.16666666666666666)) (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x))) (* (/ (+ 1.0 (cos x)) (sin x)) (- 1.0 (cos x))) 5.001 * * * [progress]: adding candidates to table 5.412 * * [progress]: iteration 4 / 4 5.412 * * * [progress]: picking best candidate 5.457 * * * * [pick]: Picked # 5.457 * * * [progress]: localizing error 5.502 * * * [progress]: generating rewritten candidates 5.503 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 5.512 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 5.518 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.523 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.574 * * * [progress]: generating series expansions 5.574 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 5.575 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 5.575 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.575 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [backup-simplify]: Simplify 1.0 into 1.0 5.575 * [taylor]: Taking taylor expansion of (cos x) in x 5.575 * [taylor]: Taking taylor expansion of x in x 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 1 into 1 5.575 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.575 * [taylor]: Taking taylor expansion of 1.0 in x 5.575 * [backup-simplify]: Simplify 1.0 into 1.0 5.575 * [taylor]: Taking taylor expansion of (cos x) in x 5.575 * [taylor]: Taking taylor expansion of x in x 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 1 into 1 5.576 * [backup-simplify]: Simplify (- 1) into -1 5.576 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.576 * [backup-simplify]: Simplify 0 into 0 5.577 * [backup-simplify]: Simplify (+ 0) into 0 5.577 * [backup-simplify]: Simplify (- 0) into 0 5.578 * [backup-simplify]: Simplify (+ 0 0) into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.580 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.580 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.580 * [backup-simplify]: Simplify 1/2 into 1/2 5.582 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.582 * [backup-simplify]: Simplify (- 0) into 0 5.582 * [backup-simplify]: Simplify (+ 0 0) into 0 5.582 * [backup-simplify]: Simplify 0 into 0 5.585 * [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 5.586 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.586 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.586 * [backup-simplify]: Simplify -1/24 into -1/24 5.588 * [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 5.589 * [backup-simplify]: Simplify (- 0) into 0 5.589 * [backup-simplify]: Simplify (+ 0 0) into 0 5.589 * [backup-simplify]: Simplify 0 into 0 5.595 * [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 5.595 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.596 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.596 * [backup-simplify]: Simplify 1/720 into 1/720 5.597 * [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))) 5.597 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.597 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.597 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.597 * [taylor]: Taking taylor expansion of 1.0 in x 5.597 * [backup-simplify]: Simplify 1.0 into 1.0 5.597 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.597 * [taylor]: Taking taylor expansion of x in x 5.597 * [backup-simplify]: Simplify 0 into 0 5.597 * [backup-simplify]: Simplify 1 into 1 5.597 * [backup-simplify]: Simplify (/ 1 1) into 1 5.597 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.598 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.598 * [taylor]: Taking taylor expansion of 1.0 in x 5.598 * [backup-simplify]: Simplify 1.0 into 1.0 5.598 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.598 * [taylor]: Taking taylor expansion of x in x 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 1 into 1 5.598 * [backup-simplify]: Simplify (/ 1 1) into 1 5.598 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.598 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.599 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.599 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.599 * [backup-simplify]: Simplify (- 0) into 0 5.599 * [backup-simplify]: Simplify (+ 0 0) into 0 5.599 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify (- 0) into 0 5.600 * [backup-simplify]: Simplify (+ 0 0) into 0 5.600 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify (- 0) into 0 5.601 * [backup-simplify]: Simplify (+ 0 0) into 0 5.601 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify (- 0) into 0 5.602 * [backup-simplify]: Simplify (+ 0 0) into 0 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify (- 0) into 0 5.603 * [backup-simplify]: Simplify (+ 0 0) into 0 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify (- 0) into 0 5.604 * [backup-simplify]: Simplify (+ 0 0) into 0 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 5.604 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 5.604 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.604 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.604 * [taylor]: Taking taylor expansion of 1.0 in x 5.604 * [backup-simplify]: Simplify 1.0 into 1.0 5.604 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.604 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.604 * [taylor]: Taking taylor expansion of -1 in x 5.604 * [backup-simplify]: Simplify -1 into -1 5.604 * [taylor]: Taking taylor expansion of x in x 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.605 * [backup-simplify]: Simplify (/ -1 1) into -1 5.605 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.605 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.605 * [taylor]: Taking taylor expansion of 1.0 in x 5.605 * [backup-simplify]: Simplify 1.0 into 1.0 5.605 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.605 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.605 * [taylor]: Taking taylor expansion of -1 in x 5.605 * [backup-simplify]: Simplify -1 into -1 5.605 * [taylor]: Taking taylor expansion of x in x 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify 1 into 1 5.606 * [backup-simplify]: Simplify (/ -1 1) into -1 5.606 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.606 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.606 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.606 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.606 * [backup-simplify]: Simplify (- 0) into 0 5.607 * [backup-simplify]: Simplify (+ 0 0) into 0 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify (- 0) into 0 5.608 * [backup-simplify]: Simplify (+ 0 0) into 0 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify (- 0) into 0 5.608 * [backup-simplify]: Simplify (+ 0 0) into 0 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify (- 0) into 0 5.609 * [backup-simplify]: Simplify (+ 0 0) into 0 5.609 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify (- 0) into 0 5.610 * [backup-simplify]: Simplify (+ 0 0) into 0 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify (- 0) into 0 5.611 * [backup-simplify]: Simplify (+ 0 0) into 0 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 5.611 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 5.611 * [backup-simplify]: Simplify (+ (cos x) 1.0) into (+ (cos x) 1.0) 5.611 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 5.611 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 5.611 * [taylor]: Taking taylor expansion of (cos x) in x 5.611 * [taylor]: Taking taylor expansion of x in x 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 1 into 1 5.611 * [taylor]: Taking taylor expansion of 1.0 in x 5.612 * [backup-simplify]: Simplify 1.0 into 1.0 5.612 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 5.612 * [taylor]: Taking taylor expansion of (cos x) in x 5.612 * [taylor]: Taking taylor expansion of x in x 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [taylor]: Taking taylor expansion of 1.0 in x 5.612 * [backup-simplify]: Simplify 1.0 into 1.0 5.612 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 5.612 * [backup-simplify]: Simplify 2.0 into 2.0 5.613 * [backup-simplify]: Simplify (+ 0) into 0 5.613 * [backup-simplify]: Simplify (+ 0 0) into 0 5.613 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.614 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 5.615 * [backup-simplify]: Simplify -1/2 into -1/2 5.616 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.616 * [backup-simplify]: Simplify (+ 0 0) into 0 5.616 * [backup-simplify]: Simplify 0 into 0 5.618 * [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 5.618 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 5.618 * [backup-simplify]: Simplify 1/24 into 1/24 5.618 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2.0)) into (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) 5.618 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 5.618 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 5.618 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.618 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.618 * [taylor]: Taking taylor expansion of x in x 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 1 into 1 5.619 * [backup-simplify]: Simplify (/ 1 1) into 1 5.619 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.619 * [taylor]: Taking taylor expansion of 1.0 in x 5.619 * [backup-simplify]: Simplify 1.0 into 1.0 5.619 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.619 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.619 * [taylor]: Taking taylor expansion of x in x 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify 1 into 1 5.619 * [backup-simplify]: Simplify (/ 1 1) into 1 5.619 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.619 * [taylor]: Taking taylor expansion of 1.0 in x 5.619 * [backup-simplify]: Simplify 1.0 into 1.0 5.619 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 5.619 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.620 * [backup-simplify]: Simplify 0 into 0 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.620 * [backup-simplify]: Simplify 0 into 0 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.620 * [backup-simplify]: Simplify 0 into 0 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.620 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1.0) into (+ (cos x) 1.0) 5.621 * [backup-simplify]: Simplify (+ (cos (/ 1 (- x))) 1.0) into (+ (cos (/ -1 x)) 1.0) 5.621 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 5.621 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.621 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.621 * [taylor]: Taking taylor expansion of -1 in x 5.621 * [backup-simplify]: Simplify -1 into -1 5.621 * [taylor]: Taking taylor expansion of x in x 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 1 into 1 5.622 * [backup-simplify]: Simplify (/ -1 1) into -1 5.622 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.622 * [taylor]: Taking taylor expansion of 1.0 in x 5.622 * [backup-simplify]: Simplify 1.0 into 1.0 5.622 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.622 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.622 * [taylor]: Taking taylor expansion of -1 in x 5.622 * [backup-simplify]: Simplify -1 into -1 5.622 * [taylor]: Taking taylor expansion of x in x 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify 1 into 1 5.622 * [backup-simplify]: Simplify (/ -1 1) into -1 5.622 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.622 * [taylor]: Taking taylor expansion of 1.0 in x 5.622 * [backup-simplify]: Simplify 1.0 into 1.0 5.622 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 5.622 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 5.622 * [backup-simplify]: Simplify (+ 0 0) into 0 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify (+ 0 0) into 0 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify (+ 0 0) into 0 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify (+ 0 0) into 0 5.623 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify (+ 0 0) into 0 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify (+ 0 0) into 0 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1.0) into (+ (cos x) 1.0) 5.624 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 5.624 * [backup-simplify]: Simplify (+ 1.0 (cos x)) into (+ (cos x) 1.0) 5.624 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 5.624 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 5.624 * [taylor]: Taking taylor expansion of (cos x) in x 5.624 * [taylor]: Taking taylor expansion of x in x 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [taylor]: Taking taylor expansion of 1.0 in x 5.624 * [backup-simplify]: Simplify 1.0 into 1.0 5.624 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 5.624 * [taylor]: Taking taylor expansion of (cos x) in x 5.624 * [taylor]: Taking taylor expansion of x in x 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [taylor]: Taking taylor expansion of 1.0 in x 5.624 * [backup-simplify]: Simplify 1.0 into 1.0 5.625 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 5.625 * [backup-simplify]: Simplify 2.0 into 2.0 5.625 * [backup-simplify]: Simplify (+ 0) into 0 5.625 * [backup-simplify]: Simplify (+ 0 0) into 0 5.625 * [backup-simplify]: Simplify 0 into 0 5.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.626 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 5.626 * [backup-simplify]: Simplify -1/2 into -1/2 5.627 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.627 * [backup-simplify]: Simplify (+ 0 0) into 0 5.627 * [backup-simplify]: Simplify 0 into 0 5.628 * [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 5.629 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 5.629 * [backup-simplify]: Simplify 1/24 into 1/24 5.629 * [backup-simplify]: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 2.0)) into (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) 5.629 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1.0) 5.629 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 5.629 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.629 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.629 * [taylor]: Taking taylor expansion of x in x 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify (/ 1 1) into 1 5.630 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.630 * [taylor]: Taking taylor expansion of 1.0 in x 5.630 * [backup-simplify]: Simplify 1.0 into 1.0 5.630 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.630 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.630 * [taylor]: Taking taylor expansion of x in x 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify (/ 1 1) into 1 5.630 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.630 * [taylor]: Taking taylor expansion of 1.0 in x 5.630 * [backup-simplify]: Simplify 1.0 into 1.0 5.630 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 5.630 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 5.631 * [backup-simplify]: Simplify (+ 0 0) into 0 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify (+ 0 0) into 0 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify (+ 0 0) into 0 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify (+ 0 0) into 0 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify (+ 0 0) into 0 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify (+ 0 0) into 0 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify (+ (cos (/ 1 (/ 1 x))) 1.0) into (+ (cos x) 1.0) 5.632 * [backup-simplify]: Simplify (+ 1.0 (cos (/ 1 (- x)))) into (+ (cos (/ -1 x)) 1.0) 5.632 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 5.632 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.632 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.632 * [taylor]: Taking taylor expansion of -1 in x 5.632 * [backup-simplify]: Simplify -1 into -1 5.632 * [taylor]: Taking taylor expansion of x in x 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ -1 1) into -1 5.633 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.633 * [taylor]: Taking taylor expansion of 1.0 in x 5.633 * [backup-simplify]: Simplify 1.0 into 1.0 5.633 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.633 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.633 * [taylor]: Taking taylor expansion of -1 in x 5.633 * [backup-simplify]: Simplify -1 into -1 5.633 * [taylor]: Taking taylor expansion of x in x 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ -1 1) into -1 5.633 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.633 * [taylor]: Taking taylor expansion of 1.0 in x 5.633 * [backup-simplify]: Simplify 1.0 into 1.0 5.633 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 5.634 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 5.634 * [backup-simplify]: Simplify (+ 0 0) into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify (+ 0 0) into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify (+ 0 0) into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify (+ 0 0) into 0 5.635 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify (+ 0 0) into 0 5.635 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify (+ 0 0) into 0 5.635 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify (+ (cos (/ -1 (/ 1 (- x)))) 1.0) into (+ (cos x) 1.0) 5.635 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.636 * [backup-simplify]: Simplify (* (+ 1.0 (cos x)) (- 1.0 (cos x))) into (* (+ (cos x) 1.0) (- 1.0 (cos x))) 5.636 * [approximate]: Taking taylor expansion of (* (+ (cos x) 1.0) (- 1.0 (cos x))) in (x) around 0 5.636 * [taylor]: Taking taylor expansion of (* (+ (cos x) 1.0) (- 1.0 (cos x))) in x 5.636 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 5.636 * [taylor]: Taking taylor expansion of (cos x) in x 5.636 * [taylor]: Taking taylor expansion of x in x 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [taylor]: Taking taylor expansion of 1.0 in x 5.636 * [backup-simplify]: Simplify 1.0 into 1.0 5.636 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.636 * [taylor]: Taking taylor expansion of 1.0 in x 5.636 * [backup-simplify]: Simplify 1.0 into 1.0 5.636 * [taylor]: Taking taylor expansion of (cos x) in x 5.636 * [taylor]: Taking taylor expansion of x in x 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [taylor]: Taking taylor expansion of (* (+ (cos x) 1.0) (- 1.0 (cos x))) in x 5.636 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 5.636 * [taylor]: Taking taylor expansion of (cos x) in x 5.636 * [taylor]: Taking taylor expansion of x in x 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [taylor]: Taking taylor expansion of 1.0 in x 5.636 * [backup-simplify]: Simplify 1.0 into 1.0 5.636 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.636 * [taylor]: Taking taylor expansion of 1.0 in x 5.636 * [backup-simplify]: Simplify 1.0 into 1.0 5.636 * [taylor]: Taking taylor expansion of (cos x) in x 5.636 * [taylor]: Taking taylor expansion of x in x 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [backup-simplify]: Simplify (+ 1 1.0) into 2.0 5.637 * [backup-simplify]: Simplify (- 1) into -1 5.637 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.637 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.637 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify (+ 0) into 0 5.638 * [backup-simplify]: Simplify (- 0) into 0 5.638 * [backup-simplify]: Simplify (+ 0 0) into 0 5.638 * [backup-simplify]: Simplify (+ 0) into 0 5.639 * [backup-simplify]: Simplify (+ 0 0) into 0 5.639 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.640 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.640 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.641 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 5.642 * [backup-simplify]: Simplify (+ (* 2.0 1/2) (+ (* 0 0) (* -1/2 0))) into 1.0 5.642 * [backup-simplify]: Simplify 1.0 into 1.0 5.643 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.643 * [backup-simplify]: Simplify (- 0) into 0 5.643 * [backup-simplify]: Simplify (+ 0 0) into 0 5.644 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.644 * [backup-simplify]: Simplify (+ 0 0) into 0 5.645 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1/2) (+ (* -1/2 0) (* 0 0)))) into 0 5.645 * [backup-simplify]: Simplify 0 into 0 5.647 * [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 5.647 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.648 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.651 * [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 5.652 * [backup-simplify]: Simplify (+ 1/24 0) into 1/24 5.654 * [backup-simplify]: Simplify (+ (* 2.0 -1/24) (+ (* 0 0) (+ (* -1/2 1/2) (+ (* 0 0) (* 1/24 0))))) into (- 0.3333333333333333) 5.654 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.655 * [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 5.656 * [backup-simplify]: Simplify (- 0) into 0 5.656 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [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 5.657 * [backup-simplify]: Simplify (+ 0 0) into 0 5.659 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 -1/24) (+ (* -1/2 0) (+ (* 0 1/2) (+ (* 1/24 0) (* 0 0)))))) into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.661 * [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 5.662 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.662 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.665 * [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 5.665 * [backup-simplify]: Simplify (+ -1/720 0) into -1/720 5.668 * [backup-simplify]: Simplify (+ (* 2.0 1/720) (+ (* 0 0) (+ (* -1/2 -1/24) (+ (* 0 0) (+ (* 1/24 1/2) (+ (* 0 0) (* -1/720 0))))))) into 0.04444444444444444 5.668 * [backup-simplify]: Simplify 0.04444444444444444 into 0.04444444444444444 5.669 * [backup-simplify]: Simplify (+ (* 0.04444444444444444 (pow x 6)) (+ (* (- 0.3333333333333333) (pow x 4)) (* 1.0 (pow x 2)))) into (- (+ (* 1.0 (pow x 2)) (* 0.04444444444444444 (pow x 6))) (* 0.3333333333333333 (pow x 4))) 5.669 * [backup-simplify]: Simplify (* (+ 1.0 (cos (/ 1 x))) (- 1.0 (cos (/ 1 x)))) into (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) 5.669 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) in (x) around 0 5.669 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) in x 5.669 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.669 * [taylor]: Taking taylor expansion of 1.0 in x 5.669 * [backup-simplify]: Simplify 1.0 into 1.0 5.669 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.669 * [taylor]: Taking taylor expansion of x in x 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify 1 into 1 5.670 * [backup-simplify]: Simplify (/ 1 1) into 1 5.670 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.670 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.670 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.670 * [taylor]: Taking taylor expansion of x in x 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.670 * [backup-simplify]: Simplify (/ 1 1) into 1 5.670 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.670 * [taylor]: Taking taylor expansion of 1.0 in x 5.670 * [backup-simplify]: Simplify 1.0 into 1.0 5.670 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) in x 5.670 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.670 * [taylor]: Taking taylor expansion of 1.0 in x 5.670 * [backup-simplify]: Simplify 1.0 into 1.0 5.670 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.671 * [taylor]: Taking taylor expansion of x in x 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (/ 1 1) into 1 5.671 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.671 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 5.671 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.671 * [taylor]: Taking taylor expansion of x in x 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (/ 1 1) into 1 5.671 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.671 * [taylor]: Taking taylor expansion of 1.0 in x 5.671 * [backup-simplify]: Simplify 1.0 into 1.0 5.672 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.672 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.672 * [backup-simplify]: Simplify (+ (cos (/ 1 x)) 1.0) into (+ (cos (/ 1 x)) 1.0) 5.672 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) into (* (+ (cos (/ 1 x)) 1.0) (- 1.0 (cos (/ 1 x)))) 5.672 * [backup-simplify]: Simplify (* (+ (cos (/ 1 x)) 1.0) (- 1.0 (cos (/ 1 x)))) into (* (- 1.0 (cos (/ 1 x))) (+ (cos (/ 1 x)) 1.0)) 5.672 * [backup-simplify]: Simplify (+ 0 0) into 0 5.673 * [backup-simplify]: Simplify (- 0) into 0 5.673 * [backup-simplify]: Simplify (+ 0 0) into 0 5.673 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (* 0 (+ (cos (/ 1 x)) 1.0))) into 0 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify (+ 0 0) into 0 5.674 * [backup-simplify]: Simplify (- 0) into 0 5.674 * [backup-simplify]: Simplify (+ 0 0) into 0 5.674 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (+ (cos (/ 1 x)) 1.0)))) into 0 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify (+ 0 0) into 0 5.675 * [backup-simplify]: Simplify (- 0) into 0 5.675 * [backup-simplify]: Simplify (+ 0 0) into 0 5.676 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ 1 x)) 1.0))))) into 0 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify (+ 0 0) into 0 5.676 * [backup-simplify]: Simplify (- 0) into 0 5.677 * [backup-simplify]: Simplify (+ 0 0) into 0 5.678 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ 1 x)) 1.0)))))) into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify (+ 0 0) into 0 5.679 * [backup-simplify]: Simplify (- 0) into 0 5.679 * [backup-simplify]: Simplify (+ 0 0) into 0 5.681 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ 1 x)) 1.0))))))) into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify (+ 0 0) into 0 5.682 * [backup-simplify]: Simplify (- 0) into 0 5.682 * [backup-simplify]: Simplify (+ 0 0) into 0 5.684 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (cos (/ 1 x)) 1.0)))))))) into 0 5.684 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (+ (cos (/ 1 (/ 1 x))) 1.0)) into (* (+ (cos x) 1.0) (- 1.0 (cos x))) 5.685 * [backup-simplify]: Simplify (* (+ 1.0 (cos (/ 1 (- x)))) (- 1.0 (cos (/ 1 (- x))))) into (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) 5.685 * [approximate]: Taking taylor expansion of (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) in (x) around 0 5.685 * [taylor]: Taking taylor expansion of (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) in x 5.685 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.685 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.685 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.685 * [taylor]: Taking taylor expansion of -1 in x 5.685 * [backup-simplify]: Simplify -1 into -1 5.685 * [taylor]: Taking taylor expansion of x in x 5.685 * [backup-simplify]: Simplify 0 into 0 5.685 * [backup-simplify]: Simplify 1 into 1 5.685 * [backup-simplify]: Simplify (/ -1 1) into -1 5.685 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.685 * [taylor]: Taking taylor expansion of 1.0 in x 5.685 * [backup-simplify]: Simplify 1.0 into 1.0 5.685 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.685 * [taylor]: Taking taylor expansion of 1.0 in x 5.686 * [backup-simplify]: Simplify 1.0 into 1.0 5.686 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.686 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.686 * [taylor]: Taking taylor expansion of -1 in x 5.686 * [backup-simplify]: Simplify -1 into -1 5.686 * [taylor]: Taking taylor expansion of x in x 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 1 into 1 5.686 * [backup-simplify]: Simplify (/ -1 1) into -1 5.686 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.686 * [taylor]: Taking taylor expansion of (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) in x 5.686 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 5.686 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.686 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.686 * [taylor]: Taking taylor expansion of -1 in x 5.686 * [backup-simplify]: Simplify -1 into -1 5.686 * [taylor]: Taking taylor expansion of x in x 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 1 into 1 5.687 * [backup-simplify]: Simplify (/ -1 1) into -1 5.687 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.687 * [taylor]: Taking taylor expansion of 1.0 in x 5.687 * [backup-simplify]: Simplify 1.0 into 1.0 5.687 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.687 * [taylor]: Taking taylor expansion of 1.0 in x 5.687 * [backup-simplify]: Simplify 1.0 into 1.0 5.687 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.687 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.687 * [taylor]: Taking taylor expansion of -1 in x 5.687 * [backup-simplify]: Simplify -1 into -1 5.687 * [taylor]: Taking taylor expansion of x in x 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify 1 into 1 5.688 * [backup-simplify]: Simplify (/ -1 1) into -1 5.688 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.688 * [backup-simplify]: Simplify (+ (cos (/ -1 x)) 1.0) into (+ (cos (/ -1 x)) 1.0) 5.688 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.688 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.688 * [backup-simplify]: Simplify (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) into (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) 5.689 * [backup-simplify]: Simplify (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) into (* (+ (cos (/ -1 x)) 1.0) (- 1.0 (cos (/ -1 x)))) 5.689 * [backup-simplify]: Simplify (- 0) into 0 5.689 * [backup-simplify]: Simplify (+ 0 0) into 0 5.690 * [backup-simplify]: Simplify (+ 0 0) into 0 5.690 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (* 0 (- 1.0 (cos (/ -1 x))))) into 0 5.690 * [backup-simplify]: Simplify 0 into 0 5.690 * [backup-simplify]: Simplify (- 0) into 0 5.691 * [backup-simplify]: Simplify (+ 0 0) into 0 5.691 * [backup-simplify]: Simplify (+ 0 0) into 0 5.691 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))) into 0 5.691 * [backup-simplify]: Simplify 0 into 0 5.692 * [backup-simplify]: Simplify (- 0) into 0 5.692 * [backup-simplify]: Simplify (+ 0 0) into 0 5.692 * [backup-simplify]: Simplify (+ 0 0) into 0 5.693 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))) into 0 5.693 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify (- 0) into 0 5.694 * [backup-simplify]: Simplify (+ 0 0) into 0 5.694 * [backup-simplify]: Simplify (+ 0 0) into 0 5.696 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))) into 0 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify (- 0) into 0 5.696 * [backup-simplify]: Simplify (+ 0 0) into 0 5.696 * [backup-simplify]: Simplify (+ 0 0) into 0 5.698 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x))))))))) into 0 5.698 * [backup-simplify]: Simplify 0 into 0 5.698 * [backup-simplify]: Simplify (- 0) into 0 5.698 * [backup-simplify]: Simplify (+ 0 0) into 0 5.698 * [backup-simplify]: Simplify (+ 0 0) into 0 5.700 * [backup-simplify]: Simplify (+ (* (+ (cos (/ -1 x)) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ -1 x)))))))))) into 0 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify (* (+ (cos (/ -1 (/ 1 (- x)))) 1.0) (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (* (+ (cos x) 1.0) (- 1.0 (cos x))) 5.700 * * * [progress]: simplifying candidates 5.701 * [simplify]: Simplifying: (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (* (exp (cos x)) (exp 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow (cos x) 3) (pow 1.0 3)) (+ (* (cos x) (cos x)) (- (* 1.0 1.0) (* (cos x) 1.0))) (- (* (cos x) (cos x)) (* 1.0 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (* (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)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1.0 (cos x)) (+ 1.0 (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ (log (+ 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (exp (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (* (* (* (+ 1.0 (cos x)) (+ 1.0 (cos x))) (+ 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x)))) (* (cbrt (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (* (+ 1.0 (cos x)) (- 1.0 (cos x))))) (cbrt (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (* (* (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (* (+ 1.0 (cos x)) (- 1.0 (cos x)))) (* (+ (pow 1.0 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3))) (* (+ (* 1.0 1.0) (- (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (+ (pow 1.0 3) (pow (cos x) 3)) (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (+ (* 1.0 1.0) (- (* (cos x) (cos x)) (* 1.0 (cos x)))) (+ 1.0 (cos x))) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (- (pow 1.0 3) (pow (cos x) 3))) (* (- 1.0 (cos x)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (- (* 1.0 1.0) (* (cos x) (cos x))) (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (- 1.0 (cos x)) (+ 1.0 (cos x))) (* (sqrt (+ 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (* (sqrt (+ 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (* (+ 1.0 (cos x)) 1.0) (* (+ 1.0 (cos x)) (- (cos x))) (* (+ 1.0 (cos x)) 1.0) (* (+ 1.0 (cos x)) (- (cos x))) (* 1.0 (+ 1.0 (cos x))) (* (- (cos x)) (+ 1.0 (cos x))) (* 1.0 (+ 1.0 (cos x))) (* (- (cos x)) (+ 1.0 (cos x))) (* (+ 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (+ 1.0 (cos x)) (sqrt (- 1.0 (cos x)))) (* (+ 1.0 (cos x)) 1) (* (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x)))) (* (+ 1.0 (cos x)) 1) (* (cbrt (+ 1.0 (cos x))) (- 1.0 (cos x))) (* (sqrt (+ 1.0 (cos x))) (- 1.0 (cos x))) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (* (+ 1.0 (cos x)) (- (pow 1.0 3) (pow (cos x) 3))) (* (+ 1.0 (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (+ (pow 1.0 3) (pow (cos x) 3)) (- 1.0 (cos x))) (* (- (* 1.0 1.0) (* (cos x) (cos 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)) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ (cos x) 1.0) (+ (cos x) 1.0) (- (+ (* 1.0 (pow x 2)) (* 0.04444444444444444 (pow x 6))) (* 0.3333333333333333 (pow x 4))) (* (+ (cos x) 1.0) (- 1.0 (cos x))) (* (+ (cos x) 1.0) (- 1.0 (cos x))) 5.702 * * [simplify]: iteration 0: 115 enodes 5.724 * * [simplify]: iteration 1: 304 enodes 5.848 * * [simplify]: iteration 2: 1464 enodes 6.345 * * [simplify]: iteration complete: 5000 enodes 6.345 * * [simplify]: Extracting #0: cost 52 inf + 0 6.348 * * [simplify]: Extracting #1: cost 900 inf + 0 6.356 * * [simplify]: Extracting #2: cost 2233 inf + 69 6.375 * * [simplify]: Extracting #3: cost 2372 inf + 603 6.388 * * [simplify]: Extracting #4: cost 1301 inf + 9070 6.401 * * [simplify]: Extracting #5: cost 271 inf + 22269 6.408 * * [simplify]: Extracting #6: cost 9 inf + 26062 6.416 * * [simplify]: Extracting #7: cost 0 inf + 26152 6.423 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (+ (cos x) 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ (cos x) 1.0) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (* (cos x) (- (cos x) 1.0))) (* (+ (cos x) 1.0) (- (cos x) 1.0)) (- (cos x) 1.0) (+ (cos x) 1.0) (exp (+ (cos x) 1.0)) (log (+ (cos x) 1.0)) (exp (+ (cos x) 1.0)) (* (cbrt (+ (cos x) 1.0)) (cbrt (+ (cos x) 1.0))) (cbrt (+ (cos x) 1.0)) (pow (+ (cos x) 1.0) 3) (sqrt (+ (cos x) 1.0)) (sqrt (+ (cos x) 1.0)) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (* (cos x) (- (cos x) 1.0))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1.0 (cos x)) (+ (cos x) 1.0) (- (* 1.0 1.0) (* (cos x) (cos x))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (pow (exp (+ (cos x) 1.0)) (- 1.0 (cos x))) (pow (- (* 1.0 1.0) (* (cos x) (cos x))) 3) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (pow (- (* 1.0 1.0) (* (cos x) (cos x))) 3) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (sqrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (- (pow 1.0 3) (pow (cos x) 3)) (+ (pow 1.0 3) (pow (cos x) 3))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (+ (* 1.0 1.0) (* (cos x) (- (cos x) 1.0)))) (* (+ (pow 1.0 3) (pow (cos x) 3)) (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (+ (cos x) 1.0) (+ (* 1.0 1.0) (* (cos x) (- (cos x) 1.0)))) (* (* (- (pow 1.0 3) (pow (cos x) 3)) (+ (cos x) 1.0)) (- 1.0 (cos x))) (* (- 1.0 (cos x)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0))) (* (* (+ (cos x) 1.0) (+ (cos x) 1.0)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (* (sqrt (- 1.0 (cos x))) (sqrt (+ (cos x) 1.0))) (* (sqrt (- 1.0 (cos x))) (sqrt (+ (cos x) 1.0))) (* (+ (cos x) 1.0) 1.0) (* (- (cos x)) (+ (cos x) 1.0)) (* (+ (cos x) 1.0) 1.0) (* (- (cos x)) (+ (cos x) 1.0)) (* (+ (cos x) 1.0) 1.0) (* (- (cos x)) (+ (cos x) 1.0)) (* (+ (cos x) 1.0) 1.0) (* (- (cos x)) (+ (cos x) 1.0)) (* (cbrt (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (+ (cos x) 1.0))) (* (sqrt (- 1.0 (cos x))) (+ (cos x) 1.0)) (+ (cos x) 1.0) (* (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0))) (+ (cos x) 1.0) (* (cbrt (+ (cos x) 1.0)) (- 1.0 (cos x))) (* (sqrt (+ (cos x) 1.0)) (- 1.0 (cos x))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- (* 1.0 1.0) (* (cos x) (cos x))) (* (- (pow 1.0 3) (pow (cos x) 3)) (+ (cos x) 1.0)) (* (+ (cos x) 1.0) (- (* 1.0 1.0) (* (cos x) (cos x)))) (* (+ (pow 1.0 3) (pow (cos x) 3)) (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (+ (cos x) 1.0)) (+ (* 1/720 (pow x 6)) (+ (* 1/2 (* x x)) (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (+ 2.0 (* (* x x) -1/2)) (* (pow x 4) 1/24)) (+ (cos x) 1.0) (+ (cos x) 1.0) (+ (+ 2.0 (* (* x x) -1/2)) (* (pow x 4) 1/24)) (+ (cos x) 1.0) (+ (cos x) 1.0) (+ (* (pow x 6) 0.04444444444444444) (- (* 1.0 (* x x)) (* (pow x 4) 0.3333333333333333))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- (* 1.0 1.0) (* (cos x) (cos x))) 6.424 * * * [progress]: adding candidates to table 6.828 * [progress]: [Phase 3 of 3] Extracting. 6.828 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 6.832 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 6.832 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # #) 6.954 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 7.060 * * * [regime]: Found split indices: #