34.338 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.243 * * * [progress]: [2/2] Setting up program. 0.248 * [progress]: [Phase 2 of 3] Improving. 0.248 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (sin x)) 0.249 * * [simplify]: Extracting # 0 : cost 0 0.249 * * [simplify]: Extracting # 1 : cost 0 0.249 * * [simplify]: Extracting # 2 : cost 0 0.249 * * [simplify]: Extracting # 3 : cost 0 0.249 * * [simplify]: Extracting # 4 : cost 0 0.249 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.251 * * [simplify]: Extracting # 0 : cost 0 0.251 * * [simplify]: Extracting # 1 : cost 0 0.251 * * [simplify]: Extracting # 2 : cost 0 0.251 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.254 * * [simplify]: Extracting # 0 : cost 0 0.254 * * [simplify]: Extracting # 1 : cost 0 0.254 * * [simplify]: Extracting # 2 : cost 0 0.254 * * [simplify]: iteration 2 : 14 enodes (cost 7 ) 0.257 * * [simplify]: Extracting # 0 : cost 0 0.258 * * [simplify]: iteration 3 : 16 enodes (cost 7 ) 0.261 * * [simplify]: Extracting # 0 : cost 0 0.262 * * [simplify]: iteration done: 16 enodes (cost 7 ) 0.262 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.262 * * [progress]: iteration 1 / 4 0.262 * * * [progress]: picking best candidate 0.266 * * * * [pick]: Picked # 0.266 * * * [progress]: localizing error 0.276 * * * [progress]: generating rewritten candidates 0.276 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.283 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.341 * * * [progress]: generating series expansions 0.341 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.342 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.342 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [backup-simplify]: Simplify 1.0 into 1.0 0.342 * [taylor]: Taking taylor expansion of (cos x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [backup-simplify]: Simplify 1.0 into 1.0 0.342 * [taylor]: Taking taylor expansion of (cos x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (- 1) into -1 0.343 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ 0) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.344 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.345 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.345 * [backup-simplify]: Simplify 1/2 into 1/2 0.345 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.345 * [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 (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.348 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.348 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.348 * [backup-simplify]: Simplify -1/24 into -1/24 0.349 * [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 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.352 * [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 0.353 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.353 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.353 * [backup-simplify]: Simplify 1/720 into 1/720 0.353 * [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))) 0.353 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.353 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [backup-simplify]: Simplify 1.0 into 1.0 0.354 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [backup-simplify]: Simplify 1.0 into 1.0 0.354 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.355 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.355 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.355 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.358 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.358 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.358 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [backup-simplify]: Simplify 1.0 into 1.0 0.358 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.358 * [taylor]: Taking taylor expansion of -1 in x 0.358 * [backup-simplify]: Simplify -1 into -1 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ -1 1) into -1 0.358 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.358 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [backup-simplify]: Simplify 1.0 into 1.0 0.358 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.358 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [backup-simplify]: Simplify -1 into -1 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ -1 1) into -1 0.359 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.359 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.359 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.359 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.362 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.362 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 0.362 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [backup-simplify]: Simplify 1.0 into 1.0 0.362 * [taylor]: Taking taylor expansion of (cos x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of (sin x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (- 1) into -1 0.363 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.363 * [backup-simplify]: Simplify (+ 0) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.364 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.365 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.365 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.365 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.365 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.365 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [backup-simplify]: Simplify 1.0 into 1.0 0.366 * [taylor]: Taking taylor expansion of (cos x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [taylor]: Taking taylor expansion of (sin x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (- 1) into -1 0.367 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.367 * [backup-simplify]: Simplify (+ 0) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.369 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.369 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.371 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.371 * [backup-simplify]: Simplify 1/2 into 1/2 0.372 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.378 * [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 0.379 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.379 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.381 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.382 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 0.382 * [backup-simplify]: Simplify 1/24 into 1/24 0.385 * [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 0.385 * [backup-simplify]: Simplify (- 0) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.394 * [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 0.395 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.396 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.399 * [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 0.402 * [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 0.402 * [backup-simplify]: Simplify 1/240 into 1/240 0.402 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 0.403 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.403 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.403 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.403 * [taylor]: Taking taylor expansion of 1.0 in x 0.403 * [backup-simplify]: Simplify 1.0 into 1.0 0.403 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.403 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.404 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.404 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.405 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.405 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [backup-simplify]: Simplify 1.0 into 1.0 0.405 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (/ 1 1) into 1 0.405 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.405 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.406 * [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))) 0.407 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 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 0.411 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (- 0) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) 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)))) (* 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)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 0.416 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.416 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.416 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.416 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [backup-simplify]: Simplify 1.0 into 1.0 0.416 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.416 * [taylor]: Taking taylor expansion of -1 in x 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ -1 1) into -1 0.417 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.417 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.417 * [taylor]: Taking taylor expansion of -1 in x 0.417 * [backup-simplify]: Simplify -1 into -1 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ -1 1) into -1 0.418 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.418 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.418 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.418 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 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 0.418 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.418 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.418 * [taylor]: Taking taylor expansion of -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 0.419 * [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))) 0.419 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.419 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.419 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [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 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [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 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [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 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [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)))) (* 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 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 0.424 * * * [progress]: simplifying candidates 0.426 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1.0 (cos x)) (sin x))) (cbrt (/ (- 1.0 (cos x)) (sin x)))) (cbrt (/ (- 1.0 (cos x)) (sin x))) (* (* (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x))) (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (sqrt (/ (- 1.0 (cos x)) (sin x))) (- (- 1.0 (cos x))) (- (sin x)) (/ 1.0 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) 1) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (sin x) (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 0.427 * * [simplify]: Extracting # 0 : cost 0 0.427 * * [simplify]: Extracting # 1 : cost 0 0.428 * * [simplify]: Extracting # 2 : cost 0 0.428 * * [simplify]: Extracting # 3 : cost 0 0.428 * * [simplify]: Extracting # 4 : cost 0 0.428 * * [simplify]: Extracting # 5 : cost 0 0.428 * * [simplify]: Extracting # 6 : cost 0 0.428 * * [simplify]: Extracting # 7 : cost 0 0.428 * * [simplify]: Extracting # 8 : cost 0 0.429 * * [simplify]: Extracting # 9 : cost 0 0.429 * * [simplify]: iteration 0 : 134 enodes (cost 964 ) 0.817 * * [simplify]: Extracting # 0 : cost 0 0.817 * * [simplify]: Extracting # 1 : cost 0 0.818 * * [simplify]: Extracting # 2 : cost 0 0.818 * * [simplify]: Extracting # 3 : cost 0 0.818 * * [simplify]: Extracting # 4 : cost 0 0.819 * * [simplify]: iteration 1 : 309 enodes (cost 834 ) 0.991 * * [simplify]: Extracting # 0 : cost 0 0.993 * * [simplify]: Extracting # 1 : cost 0 0.994 * * [simplify]: Extracting # 2 : cost 0 0.999 * * [simplify]: Extracting # 3 : cost 0 1.001 * * [simplify]: Extracting # 4 : cost 0 1.002 * * [simplify]: Extracting # 5 : cost 0 1.003 * * [simplify]: iteration 2 : 1215 enodes (cost 733 ) 1.875 * * [simplify]: Extracting # 0 : cost 0 1.890 * * [simplify]: Extracting # 1 : cost 0 1.897 * * [simplify]: Extracting # 2 : cost 0 1.902 * * [simplify]: Extracting # 3 : cost 0 1.913 * * [simplify]: Extracting # 4 : cost 0 1.923 * * [simplify]: iteration done: 5001 enodes (cost 692 ) 1.924 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (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))) (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)))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (sin x) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (* (sin x) (+ 1.0 (cos x))) (fma 1/2 (pow x 2) (fma (pow x 6) 1/720 (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 1.925 * * * [progress]: adding candidates to table 2.225 * * [progress]: iteration 2 / 4 2.225 * * * [progress]: picking best candidate 2.269 * * * * [pick]: Picked # 2.269 * * * [progress]: localizing error 2.293 * * * [progress]: generating rewritten candidates 2.293 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.309 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.316 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.326 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.360 * * * [progress]: generating series expansions 2.360 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.360 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 2.360 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.360 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.360 * [backup-simplify]: Simplify 1.0 into 1.0 2.360 * [taylor]: Taking taylor expansion of (cos x) in x 2.360 * [taylor]: Taking taylor expansion of x in x 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.361 * [taylor]: Taking taylor expansion of 1.0 in x 2.361 * [backup-simplify]: Simplify 1.0 into 1.0 2.361 * [taylor]: Taking taylor expansion of (cos x) in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 1 into 1 2.361 * [backup-simplify]: Simplify (- 1) into -1 2.362 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (+ 0) into 0 2.362 * [backup-simplify]: Simplify (- 0) into 0 2.362 * [backup-simplify]: Simplify (+ 0 0) into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.363 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.363 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.364 * [backup-simplify]: Simplify 1/2 into 1/2 2.364 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.364 * [backup-simplify]: Simplify (- 0) into 0 2.365 * [backup-simplify]: Simplify (+ 0 0) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.367 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.367 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.367 * [backup-simplify]: Simplify -1/24 into -1/24 2.368 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.368 * [backup-simplify]: Simplify (- 0) into 0 2.369 * [backup-simplify]: Simplify (+ 0 0) into 0 2.369 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.372 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.372 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.372 * [backup-simplify]: Simplify 1/720 into 1/720 2.372 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 2.373 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.373 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.373 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.373 * [taylor]: Taking taylor expansion of 1.0 in x 2.373 * [backup-simplify]: Simplify 1.0 into 1.0 2.373 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (/ 1 1) into 1 2.373 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.373 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.373 * [taylor]: Taking taylor expansion of 1.0 in x 2.373 * [backup-simplify]: Simplify 1.0 into 1.0 2.373 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (/ 1 1) into 1 2.374 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.374 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.374 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.374 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.374 * [backup-simplify]: Simplify (+ 0 0) into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify (- 0) into 0 2.376 * [backup-simplify]: Simplify (+ 0 0) into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify (- 0) into 0 2.376 * [backup-simplify]: Simplify (+ 0 0) into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify (- 0) into 0 2.376 * [backup-simplify]: Simplify (+ 0 0) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (- 0) into 0 2.377 * [backup-simplify]: Simplify (+ 0 0) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 2.377 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 2.377 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.377 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.377 * [taylor]: Taking taylor expansion of 1.0 in x 2.377 * [backup-simplify]: Simplify 1.0 into 1.0 2.377 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.377 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.377 * [taylor]: Taking taylor expansion of -1 in x 2.377 * [backup-simplify]: Simplify -1 into -1 2.377 * [taylor]: Taking taylor expansion of x in x 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (/ -1 1) into -1 2.378 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.378 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [backup-simplify]: Simplify 1.0 into 1.0 2.378 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.378 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.378 * [taylor]: Taking taylor expansion of -1 in x 2.378 * [backup-simplify]: Simplify -1 into -1 2.378 * [taylor]: Taking taylor expansion of x in x 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (/ -1 1) into -1 2.378 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.378 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.378 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.379 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.379 * [backup-simplify]: Simplify (- 0) into 0 2.379 * [backup-simplify]: Simplify (+ 0 0) into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (- 0) into 0 2.380 * [backup-simplify]: Simplify (+ 0 0) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify (- 0) into 0 2.380 * [backup-simplify]: Simplify (+ 0 0) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify (- 0) into 0 2.380 * [backup-simplify]: Simplify (+ 0 0) into 0 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (- 0) into 0 2.381 * [backup-simplify]: Simplify (+ 0 0) into 0 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (- 0) into 0 2.381 * [backup-simplify]: Simplify (+ 0 0) into 0 2.381 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 2.382 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.382 * [backup-simplify]: Simplify (log (- 1.0 (cos x))) into (log (- 1.0 (cos x))) 2.382 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 2.382 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.382 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.382 * [taylor]: Taking taylor expansion of 1.0 in x 2.382 * [backup-simplify]: Simplify 1.0 into 1.0 2.382 * [taylor]: Taking taylor expansion of (cos x) in x 2.382 * [taylor]: Taking taylor expansion of x in x 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify 1 into 1 2.383 * [backup-simplify]: Simplify (- 1) into -1 2.383 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.383 * [backup-simplify]: Simplify (+ 0) into 0 2.384 * [backup-simplify]: Simplify (- 0) into 0 2.384 * [backup-simplify]: Simplify (+ 0 0) into 0 2.385 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.386 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.386 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.386 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 2.386 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.386 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [backup-simplify]: Simplify 1.0 into 1.0 2.387 * [taylor]: Taking taylor expansion of (cos x) in x 2.387 * [taylor]: Taking taylor expansion of x in x 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify 1 into 1 2.387 * [backup-simplify]: Simplify (- 1) into -1 2.387 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.393 * [backup-simplify]: Simplify (+ 0) into 0 2.393 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify (+ 0 0) into 0 2.395 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.395 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.396 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.396 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 2.398 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 2.398 * [backup-simplify]: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 2.399 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.400 * [backup-simplify]: Simplify (- 0) into 0 2.400 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.405 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.406 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.409 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 -1/24) 1)) (pow 1/2 1)))) 2) into -1/12 2.409 * [backup-simplify]: Simplify -1/12 into -1/12 2.412 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.412 * [backup-simplify]: Simplify (- 0) into 0 2.413 * [backup-simplify]: Simplify (+ 0 0) into 0 2.418 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 2.418 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.423 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.424 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.431 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 -1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/720) 1)) (pow 1/2 1)))) 24) into -1/1440 2.431 * [backup-simplify]: Simplify -1/1440 into -1/1440 2.431 * [backup-simplify]: Simplify (+ (* -1/1440 (pow x 4)) (+ (* -1/12 (pow x 2)) (+ (* 2 (log x)) (log 1/2)))) into (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) 2.432 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.432 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 2.432 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.432 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.432 * [taylor]: Taking taylor expansion of 1.0 in x 2.432 * [backup-simplify]: Simplify 1.0 into 1.0 2.432 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.432 * [taylor]: Taking taylor expansion of x in x 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [backup-simplify]: Simplify (/ 1 1) into 1 2.432 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.432 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.432 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.432 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.432 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.432 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.432 * [taylor]: Taking taylor expansion of 1.0 in x 2.432 * [backup-simplify]: Simplify 1.0 into 1.0 2.432 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.432 * [taylor]: Taking taylor expansion of x in x 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (/ 1 1) into 1 2.433 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.433 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.433 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.433 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.433 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.433 * [backup-simplify]: Simplify (- 0) into 0 2.434 * [backup-simplify]: Simplify (+ 0 0) into 0 2.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 1) into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify (- 0) into 0 2.435 * [backup-simplify]: Simplify (+ 0 0) into 0 2.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 2) into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify (- 0) into 0 2.437 * [backup-simplify]: Simplify (+ 0 0) into 0 2.438 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 6) into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (- 0) into 0 2.439 * [backup-simplify]: Simplify (+ 0 0) into 0 2.442 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 24) into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify (- 0) into 0 2.443 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 120) into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify (- 0) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 720) into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (/ 1 x))))) into (log (- 1.0 (cos x))) 2.456 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (- x))))) into (log (- 1.0 (cos (/ -1 x)))) 2.456 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 2.456 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.456 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.456 * [taylor]: Taking taylor expansion of 1.0 in x 2.456 * [backup-simplify]: Simplify 1.0 into 1.0 2.456 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.456 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.456 * [taylor]: Taking taylor expansion of -1 in x 2.456 * [backup-simplify]: Simplify -1 into -1 2.456 * [taylor]: Taking taylor expansion of x in x 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 1 into 1 2.457 * [backup-simplify]: Simplify (/ -1 1) into -1 2.457 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.457 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.457 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.457 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 2.457 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.457 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.457 * [taylor]: Taking taylor expansion of 1.0 in x 2.457 * [backup-simplify]: Simplify 1.0 into 1.0 2.457 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.457 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.457 * [taylor]: Taking taylor expansion of -1 in x 2.457 * [backup-simplify]: Simplify -1 into -1 2.457 * [taylor]: Taking taylor expansion of x in x 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 1 into 1 2.457 * [backup-simplify]: Simplify (/ -1 1) into -1 2.457 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.457 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.458 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.458 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 2.458 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 2.458 * [backup-simplify]: Simplify (- 0) into 0 2.458 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 1) into 0 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify (- 0) into 0 2.459 * [backup-simplify]: Simplify (+ 0 0) into 0 2.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 2) into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (- 0) into 0 2.461 * [backup-simplify]: Simplify (+ 0 0) into 0 2.464 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 6) into 0 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (- 0) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.469 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 24) into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify (- 0) into 0 2.470 * [backup-simplify]: Simplify (+ 0 0) into 0 2.479 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 120) into 0 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify (- 0) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.493 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 720) into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (log (- 1.0 (cos x))) 2.493 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.494 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos x)))) into (- 1.0 (cos x)) 2.494 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.494 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.494 * [taylor]: Taking taylor expansion of 1.0 in x 2.494 * [backup-simplify]: Simplify 1.0 into 1.0 2.494 * [taylor]: Taking taylor expansion of (cos x) in x 2.494 * [taylor]: Taking taylor expansion of x in x 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.494 * [taylor]: Taking taylor expansion of 1.0 in x 2.494 * [backup-simplify]: Simplify 1.0 into 1.0 2.494 * [taylor]: Taking taylor expansion of (cos x) in x 2.494 * [taylor]: Taking taylor expansion of x in x 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify (- 1) into -1 2.495 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify (+ 0) into 0 2.496 * [backup-simplify]: Simplify (- 0) into 0 2.496 * [backup-simplify]: Simplify (+ 0 0) into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.498 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.498 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.498 * [backup-simplify]: Simplify 1/2 into 1/2 2.500 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.500 * [backup-simplify]: Simplify (- 0) into 0 2.500 * [backup-simplify]: Simplify (+ 0 0) into 0 2.500 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.504 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.504 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.504 * [backup-simplify]: Simplify -1/24 into -1/24 2.507 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.507 * [backup-simplify]: Simplify (- 0) into 0 2.508 * [backup-simplify]: Simplify (+ 0 0) into 0 2.508 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.513 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.514 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.514 * [backup-simplify]: Simplify 1/720 into 1/720 2.515 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 2.515 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 2.515 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.515 * [taylor]: Taking taylor expansion of 1.0 in x 2.515 * [backup-simplify]: Simplify 1.0 into 1.0 2.515 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.515 * [taylor]: Taking taylor expansion of x in x 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 1 into 1 2.516 * [backup-simplify]: Simplify (/ 1 1) into 1 2.516 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.516 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.516 * [taylor]: Taking taylor expansion of 1.0 in x 2.516 * [backup-simplify]: Simplify 1.0 into 1.0 2.516 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify 1 into 1 2.517 * [backup-simplify]: Simplify (/ 1 1) into 1 2.517 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.517 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.517 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.517 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.518 * [backup-simplify]: Simplify (- 0) into 0 2.518 * [backup-simplify]: Simplify (+ 0 0) into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify (- 0) into 0 2.519 * [backup-simplify]: Simplify (+ 0 0) into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (- 0) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify (- 0) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify (- 0) into 0 2.525 * [backup-simplify]: Simplify (+ 0 0) into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify (- 0) into 0 2.526 * [backup-simplify]: Simplify (+ 0 0) into 0 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 2.527 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 (- x)))))) into (- 1.0 (cos (/ -1 x))) 2.527 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.527 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.527 * [taylor]: Taking taylor expansion of 1.0 in x 2.527 * [backup-simplify]: Simplify 1.0 into 1.0 2.527 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.527 * [taylor]: Taking taylor expansion of -1 in x 2.527 * [backup-simplify]: Simplify -1 into -1 2.527 * [taylor]: Taking taylor expansion of x in x 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (/ -1 1) into -1 2.528 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.528 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.528 * [taylor]: Taking taylor expansion of 1.0 in x 2.528 * [backup-simplify]: Simplify 1.0 into 1.0 2.528 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.528 * [taylor]: Taking taylor expansion of -1 in x 2.528 * [backup-simplify]: Simplify -1 into -1 2.528 * [taylor]: Taking taylor expansion of x in x 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.529 * [backup-simplify]: Simplify (/ -1 1) into -1 2.529 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.529 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.529 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.529 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.530 * [backup-simplify]: Simplify (- 0) into 0 2.530 * [backup-simplify]: Simplify (+ 0 0) into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify (- 0) into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify (- 0) into 0 2.532 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (- 0) into 0 2.532 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify (- 0) into 0 2.533 * [backup-simplify]: Simplify (+ 0 0) into 0 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify (- 0) into 0 2.534 * [backup-simplify]: Simplify (+ 0 0) into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 2.534 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.534 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos x)))) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 2.535 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 2.535 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.535 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.535 * [taylor]: Taking taylor expansion of 1.0 in x 2.535 * [backup-simplify]: Simplify 1.0 into 1.0 2.535 * [taylor]: Taking taylor expansion of (cos x) in x 2.535 * [taylor]: Taking taylor expansion of x in x 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 1 into 1 2.535 * [taylor]: Taking taylor expansion of (sin x) in x 2.535 * [taylor]: Taking taylor expansion of x in x 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 1 into 1 2.535 * [backup-simplify]: Simplify (- 1) into -1 2.536 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.536 * [backup-simplify]: Simplify (+ 0) into 0 2.537 * [backup-simplify]: Simplify (- 0) into 0 2.537 * [backup-simplify]: Simplify (+ 0 0) into 0 2.538 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.538 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.539 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.540 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.540 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.540 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.540 * [backup-simplify]: Simplify 1.0 into 1.0 2.540 * [taylor]: Taking taylor expansion of (cos x) in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 1 into 1 2.540 * [taylor]: Taking taylor expansion of (sin x) in x 2.540 * [taylor]: Taking taylor expansion of x in x 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 1 into 1 2.541 * [backup-simplify]: Simplify (- 1) into -1 2.541 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.541 * [backup-simplify]: Simplify (+ 0) into 0 2.542 * [backup-simplify]: Simplify (- 0) into 0 2.542 * [backup-simplify]: Simplify (+ 0 0) into 0 2.543 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.543 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.544 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.545 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.545 * [backup-simplify]: Simplify 1/2 into 1/2 2.546 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.546 * [backup-simplify]: Simplify (- 0) into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.547 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.551 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.551 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.553 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.554 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 2.554 * [backup-simplify]: Simplify 1/24 into 1/24 2.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.557 * [backup-simplify]: Simplify (- 0) into 0 2.557 * [backup-simplify]: Simplify (+ 0 0) into 0 2.558 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.564 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.565 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.568 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 2.570 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/240 2.570 * [backup-simplify]: Simplify 1/240 into 1/240 2.570 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 2.570 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos (/ 1 x))))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.571 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 2.571 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.571 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.571 * [taylor]: Taking taylor expansion of 1.0 in x 2.571 * [backup-simplify]: Simplify 1.0 into 1.0 2.571 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.571 * [taylor]: Taking taylor expansion of x in x 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 1 into 1 2.571 * [backup-simplify]: Simplify (/ 1 1) into 1 2.571 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.571 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.571 * [taylor]: Taking taylor expansion of x in x 2.571 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify 1 into 1 2.571 * [backup-simplify]: Simplify (/ 1 1) into 1 2.571 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.572 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.572 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.572 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.572 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.572 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.572 * [taylor]: Taking taylor expansion of 1.0 in x 2.572 * [backup-simplify]: Simplify 1.0 into 1.0 2.572 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify 1 into 1 2.572 * [backup-simplify]: Simplify (/ 1 1) into 1 2.572 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.572 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify 1 into 1 2.572 * [backup-simplify]: Simplify (/ 1 1) into 1 2.573 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.573 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.573 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.573 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.573 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.573 * [backup-simplify]: Simplify (- 0) into 0 2.573 * [backup-simplify]: Simplify (+ 0 0) into 0 2.574 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 2.574 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify (- 0) into 0 2.574 * [backup-simplify]: Simplify (+ 0 0) into 0 2.574 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.574 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify (- 0) into 0 2.575 * [backup-simplify]: Simplify (+ 0 0) into 0 2.575 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.575 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (- 0) into 0 2.576 * [backup-simplify]: Simplify (+ 0 0) into 0 2.576 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (- 0) into 0 2.577 * [backup-simplify]: Simplify (+ 0 0) into 0 2.577 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (- 0) into 0 2.578 * [backup-simplify]: Simplify (+ 0 0) into 0 2.578 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 2.578 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos (/ 1 (- x)))))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.579 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 2.579 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.579 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.579 * [taylor]: Taking taylor expansion of 1.0 in x 2.579 * [backup-simplify]: Simplify 1.0 into 1.0 2.579 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.579 * [taylor]: Taking taylor expansion of -1 in x 2.579 * [backup-simplify]: Simplify -1 into -1 2.579 * [taylor]: Taking taylor expansion of x in x 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (/ -1 1) into -1 2.579 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.579 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.579 * [taylor]: Taking taylor expansion of -1 in x 2.579 * [backup-simplify]: Simplify -1 into -1 2.579 * [taylor]: Taking taylor expansion of x in x 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (/ -1 1) into -1 2.580 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.580 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.580 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.580 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.580 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.580 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.580 * [taylor]: Taking taylor expansion of 1.0 in x 2.580 * [backup-simplify]: Simplify 1.0 into 1.0 2.580 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.580 * [taylor]: Taking taylor expansion of -1 in x 2.580 * [backup-simplify]: Simplify -1 into -1 2.580 * [taylor]: Taking taylor expansion of x in x 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [backup-simplify]: Simplify (/ -1 1) into -1 2.580 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.580 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.580 * [taylor]: Taking taylor expansion of -1 in x 2.580 * [backup-simplify]: Simplify -1 into -1 2.580 * [taylor]: Taking taylor expansion of x in x 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.581 * [backup-simplify]: Simplify (/ -1 1) into -1 2.581 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.581 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.581 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.581 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.581 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.581 * [backup-simplify]: Simplify (- 0) into 0 2.582 * [backup-simplify]: Simplify (+ 0 0) into 0 2.582 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify (- 0) into 0 2.582 * [backup-simplify]: Simplify (+ 0 0) into 0 2.583 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify (- 0) into 0 2.583 * [backup-simplify]: Simplify (+ 0 0) into 0 2.583 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify (- 0) into 0 2.584 * [backup-simplify]: Simplify (+ 0 0) into 0 2.584 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify (- 0) into 0 2.585 * [backup-simplify]: Simplify (+ 0 0) into 0 2.585 * [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)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.585 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify (- 0) into 0 2.586 * [backup-simplify]: Simplify (+ 0 0) into 0 2.586 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 2.587 * * * [progress]: simplifying candidates 2.589 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (exp (log (- 1.0 (cos x))))) (log1p (exp (log (- 1.0 (cos x))))) (exp 1) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (expm1 (/ (exp (log (- 1.0 (cos x)))) (sin x))) (log1p (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (exp (log (- 1.0 (cos x)))) (sin x))) (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (* (* (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (exp (log (- 1.0 (cos x))))) (- (sin x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) 1) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (cbrt (sin x))) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sqrt (sin x))) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) 1) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) 1) (/ (cbrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) 1) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ 1 (sin x)) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (exp (log (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) 1) (/ (sin x) (exp (log (cbrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (sqrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (* (sin x) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* (sin x) (exp (log (+ 1.0 (cos x))))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 2.592 * * [simplify]: Extracting # 0 : cost 0 2.592 * * [simplify]: Extracting # 1 : cost 0 2.592 * * [simplify]: Extracting # 2 : cost 0 2.593 * * [simplify]: Extracting # 3 : cost 0 2.593 * * [simplify]: Extracting # 4 : cost 0 2.593 * * [simplify]: Extracting # 5 : cost 0 2.593 * * [simplify]: Extracting # 6 : cost 0 2.594 * * [simplify]: iteration 0 : 200 enodes (cost 1750 ) 2.657 * * [simplify]: Extracting # 0 : cost 0 2.657 * * [simplify]: Extracting # 1 : cost 0 2.658 * * [simplify]: Extracting # 2 : cost 0 2.658 * * [simplify]: Extracting # 3 : cost 0 2.658 * * [simplify]: Extracting # 4 : cost 0 2.659 * * [simplify]: iteration 1 : 374 enodes (cost 1389 ) 2.799 * * [simplify]: Extracting # 0 : cost 0 2.800 * * [simplify]: Extracting # 1 : cost 0 2.802 * * [simplify]: Extracting # 2 : cost 0 2.803 * * [simplify]: Extracting # 3 : cost 0 2.809 * * [simplify]: Extracting # 4 : cost 0 2.811 * * [simplify]: iteration 2 : 1294 enodes (cost 1247 ) 3.600 * * [simplify]: Extracting # 0 : cost 0 3.616 * * [simplify]: Extracting # 1 : cost 0 3.628 * * [simplify]: Extracting # 2 : cost 0 3.639 * * [simplify]: Extracting # 3 : cost 0 3.650 * * [simplify]: Extracting # 4 : cost 0 3.662 * * [simplify]: iteration done: 5001 enodes (cost 1206 ) 3.663 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (exp (* 2 (log (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)) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (* 2 (log (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) 0 (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) 0 (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (pow (log (- 1.0 (cos x))) 3) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) E (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) E (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 1.0 (cos x)) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0))) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (exp (* 2 (log (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))) (expm1 (/ (- 1.0 (cos x)) (sin x))) (log1p (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (log (/ (- 1.0 (cos x)) (sin x))) (exp (/ (- 1.0 (cos x)) (sin x))) (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)) (/ (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (exp (* 2 (log (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 1.0) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (cbrt (- 1.0 (cos x))) (sqrt (sin x))) (exp (* 2 (log (cbrt (- 1.0 (cos x)))))) (/ (cbrt (- 1.0 (cos x))) (sin x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1.0 (cos x))) (sqrt (sin x))) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ (/ (- 1.0 (cos x)) (cbrt (sin x))) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (- 1.0 (cos x)) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))) (* (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0))) (sin x)) (* (+ 1.0 (cos x)) (sin x)) (fma (pow x 2) 1/2 (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (fma 2 (log x) (log 1/2)) (fma 1/12 (pow x 2) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (fma (pow x 2) 1/2 (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (- 1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) 3.665 * * * [progress]: adding candidates to table 4.123 * * [progress]: iteration 3 / 4 4.123 * * * [progress]: picking best candidate 4.178 * * * * [pick]: Picked # 4.178 * * * [progress]: localizing error 4.212 * * * [progress]: generating rewritten candidates 4.212 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1) 4.220 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.220 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 4.227 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.230 * * * [progress]: generating series expansions 4.231 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1) 4.231 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 4.231 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 4.231 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.231 * [taylor]: Taking taylor expansion of 1.0 in x 4.231 * [backup-simplify]: Simplify 1.0 into 1.0 4.231 * [taylor]: Taking taylor expansion of (cos x) in x 4.231 * [taylor]: Taking taylor expansion of x in x 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.231 * [taylor]: Taking taylor expansion of 1.0 in x 4.231 * [backup-simplify]: Simplify 1.0 into 1.0 4.231 * [taylor]: Taking taylor expansion of (cos x) in x 4.231 * [taylor]: Taking taylor expansion of x in x 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (- 1) into -1 4.232 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify (+ 0) into 0 4.232 * [backup-simplify]: Simplify (- 0) into 0 4.232 * [backup-simplify]: Simplify (+ 0 0) into 0 4.232 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.233 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.233 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.234 * [backup-simplify]: Simplify 1/2 into 1/2 4.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.234 * [backup-simplify]: Simplify (- 0) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.235 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 4.236 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.237 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.237 * [backup-simplify]: Simplify -1/24 into -1/24 4.238 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.238 * [backup-simplify]: Simplify (- 0) into 0 4.238 * [backup-simplify]: Simplify (+ 0 0) into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 4.241 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.241 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.241 * [backup-simplify]: Simplify 1/720 into 1/720 4.242 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 4.242 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.242 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 4.242 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.242 * [taylor]: Taking taylor expansion of 1.0 in x 4.242 * [backup-simplify]: Simplify 1.0 into 1.0 4.242 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.242 * [taylor]: Taking taylor expansion of x in x 4.242 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.243 * [backup-simplify]: Simplify (/ 1 1) into 1 4.243 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.243 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.243 * [taylor]: Taking taylor expansion of 1.0 in x 4.243 * [backup-simplify]: Simplify 1.0 into 1.0 4.243 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.243 * [taylor]: Taking taylor expansion of x in x 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (/ 1 1) into 1 4.244 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.244 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.244 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.244 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 4.245 * [backup-simplify]: Simplify (- 0) into 0 4.245 * [backup-simplify]: Simplify (+ 0 0) into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify (- 0) into 0 4.246 * [backup-simplify]: Simplify (+ 0 0) into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify (- 0) into 0 4.247 * [backup-simplify]: Simplify (+ 0 0) into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify (- 0) into 0 4.247 * [backup-simplify]: Simplify (+ 0 0) into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify (- 0) into 0 4.248 * [backup-simplify]: Simplify (+ 0 0) into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (- 0) into 0 4.249 * [backup-simplify]: Simplify (+ 0 0) into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 4.249 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 4.249 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 4.249 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.249 * [taylor]: Taking taylor expansion of 1.0 in x 4.249 * [backup-simplify]: Simplify 1.0 into 1.0 4.250 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.250 * [taylor]: Taking taylor expansion of -1 in x 4.250 * [backup-simplify]: Simplify -1 into -1 4.250 * [taylor]: Taking taylor expansion of x in x 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 1 into 1 4.250 * [backup-simplify]: Simplify (/ -1 1) into -1 4.250 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.250 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.250 * [taylor]: Taking taylor expansion of 1.0 in x 4.251 * [backup-simplify]: Simplify 1.0 into 1.0 4.251 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.251 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.251 * [taylor]: Taking taylor expansion of -1 in x 4.251 * [backup-simplify]: Simplify -1 into -1 4.251 * [taylor]: Taking taylor expansion of x in x 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify (/ -1 1) into -1 4.251 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.252 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.252 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.252 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 4.252 * [backup-simplify]: Simplify (- 0) into 0 4.253 * [backup-simplify]: Simplify (+ 0 0) into 0 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify (- 0) into 0 4.254 * [backup-simplify]: Simplify (+ 0 0) into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify (- 0) into 0 4.254 * [backup-simplify]: Simplify (+ 0 0) into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify (- 0) into 0 4.255 * [backup-simplify]: Simplify (+ 0 0) into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify (- 0) into 0 4.256 * [backup-simplify]: Simplify (+ 0 0) into 0 4.256 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify (- 0) into 0 4.257 * [backup-simplify]: Simplify (+ 0 0) into 0 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 4.257 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.258 * [backup-simplify]: Simplify (log1p (expm1 (log (- 1.0 (cos x))))) into (log1p (expm1 (log (- 1.0 (cos x))))) 4.258 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos x))))) in (x) around 0 4.258 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos x))))) in x 4.258 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos x)))))) 4.258 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos x))))) in x 4.258 * [taylor]: Taking taylor expansion of 1 in x 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos x)))) in x 4.258 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos x)))) 1) 4.258 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos x)))) in x 4.258 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 4.258 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.258 * [taylor]: Taking taylor expansion of 1.0 in x 4.258 * [backup-simplify]: Simplify 1.0 into 1.0 4.258 * [taylor]: Taking taylor expansion of (cos x) in x 4.258 * [taylor]: Taking taylor expansion of x in x 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (- 1) into -1 4.259 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.260 * [backup-simplify]: Simplify (+ 0) into 0 4.260 * [backup-simplify]: Simplify (- 0) into 0 4.260 * [backup-simplify]: Simplify (+ 0 0) into 0 4.261 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.262 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.263 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.263 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 4.264 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.265 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.266 * [backup-simplify]: Simplify (exp (+ (* 2 (log x)) (log 1/2))) into (exp (+ (* 2 (log x)) (log 1/2))) 4.266 * [taylor]: Taking taylor expansion of 1 in x 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [backup-simplify]: Simplify (- 1) into -1 4.267 * [backup-simplify]: Simplify (+ (exp (+ (* 2 (log x)) (log 1/2))) -1) into (- (exp (+ (* 2 (log x)) (log 1/2))) 1) 4.267 * [backup-simplify]: Simplify (+ 1 (- (exp (+ (* 2 (log x)) (log 1/2))) 1)) into (exp (+ (* 2 (log x)) (log 1/2))) 4.268 * [backup-simplify]: Simplify (log (exp (+ (* 2 (log x)) (log 1/2)))) into (+ (* 2 (log x)) (log 1/2)) 4.268 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos x))))) in x 4.268 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos x)))))) 4.268 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos x))))) in x 4.268 * [taylor]: Taking taylor expansion of 1 in x 4.268 * [backup-simplify]: Simplify 1 into 1 4.268 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos x)))) in x 4.268 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos x)))) 1) 4.268 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos x)))) in x 4.268 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 4.268 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.268 * [taylor]: Taking taylor expansion of 1.0 in x 4.268 * [backup-simplify]: Simplify 1.0 into 1.0 4.268 * [taylor]: Taking taylor expansion of (cos x) in x 4.269 * [taylor]: Taking taylor expansion of x in x 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (- 1) into -1 4.269 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.270 * [backup-simplify]: Simplify (+ 0) into 0 4.270 * [backup-simplify]: Simplify (- 0) into 0 4.271 * [backup-simplify]: Simplify (+ 0 0) into 0 4.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.272 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.272 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.273 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 4.274 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.274 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.275 * [backup-simplify]: Simplify (exp (+ (* 2 (log x)) (log 1/2))) into (exp (+ (* 2 (log x)) (log 1/2))) 4.275 * [taylor]: Taking taylor expansion of 1 in x 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (- 1) into -1 4.276 * [backup-simplify]: Simplify (+ (exp (+ (* 2 (log x)) (log 1/2))) -1) into (- (exp (+ (* 2 (log x)) (log 1/2))) 1) 4.276 * [backup-simplify]: Simplify (+ 1 (- (exp (+ (* 2 (log x)) (log 1/2))) 1)) into (exp (+ (* 2 (log x)) (log 1/2))) 4.277 * [backup-simplify]: Simplify (log (exp (+ (* 2 (log x)) (log 1/2)))) into (+ (* 2 (log x)) (log 1/2)) 4.278 * [backup-simplify]: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.279 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.280 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.280 * [backup-simplify]: Simplify (- 0) into 0 4.280 * [backup-simplify]: Simplify (+ 0 0) into 0 4.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 4.283 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 4.284 * [backup-simplify]: Simplify (- 0) into 0 4.284 * [backup-simplify]: Simplify (+ 0 0) into 0 4.284 * [backup-simplify]: Simplify (+ 0 0) into 0 4.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 1)))) 1) into 0 4.286 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 4.290 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.290 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 -1/24) 1)) (pow 1/2 1)))) 2) into -1/12 4.302 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/12 1) 1)))) into (* -1/12 (exp (+ (* 2 (log x)) (log 1/2)))) 4.302 * [backup-simplify]: Simplify (- 0) into 0 4.303 * [backup-simplify]: Simplify (+ (* -1/12 (exp (+ (* 2 (log x)) (log 1/2)))) 0) into (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2))))) 4.303 * [backup-simplify]: Simplify (+ 0 (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2)))))) into (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2))))) 4.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2)))))) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 1)))) 2) into -1/12 4.305 * [backup-simplify]: Simplify -1/12 into -1/12 4.305 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.307 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.307 * [backup-simplify]: Simplify (- 0) into 0 4.307 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 4.312 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/12 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.312 * [backup-simplify]: Simplify (- 0) into 0 4.312 * [backup-simplify]: Simplify (+ 0 0) into 0 4.312 * [backup-simplify]: Simplify (+ 0 0) into 0 4.315 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2)))))) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 1)))) 6) into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 4.319 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.319 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.327 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 -1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/720) 1)) (pow 1/2 1)))) 24) into -1/1440 4.330 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/12 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/12 2) 2)) (* (/ (pow -1/1440 1) 1)))) into (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) 4.330 * [backup-simplify]: Simplify (- 0) into 0 4.330 * [backup-simplify]: Simplify (+ (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) 0) into (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) 4.331 * [backup-simplify]: Simplify (+ 0 (* 1/360 (exp (+ (* 2 (log x)) (log 1/2))))) into (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) 4.335 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2)))))) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2)))))) 2)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/360 (exp (+ (* 2 (log x)) (log 1/2))))) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 1)))) 24) into -1/1440 4.335 * [backup-simplify]: Simplify -1/1440 into -1/1440 4.336 * [backup-simplify]: Simplify (+ (* -1/1440 (pow x 4)) (+ (* -1/12 (pow x 2)) (+ (* 2 (log x)) (log 1/2)))) into (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) 4.336 * [backup-simplify]: Simplify (log1p (expm1 (log (- 1.0 (cos (/ 1 x)))))) into (log1p (expm1 (log (- 1.0 (cos (/ 1 x)))))) 4.336 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos (/ 1 x)))))) in (x) around 0 4.336 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos (/ 1 x)))))) in x 4.336 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos (/ 1 x))))))) 4.336 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos (/ 1 x)))))) in x 4.336 * [taylor]: Taking taylor expansion of 1 in x 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos (/ 1 x))))) in x 4.336 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos (/ 1 x))))) 1) 4.336 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos (/ 1 x))))) in x 4.337 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 4.337 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.337 * [taylor]: Taking taylor expansion of 1.0 in x 4.337 * [backup-simplify]: Simplify 1.0 into 1.0 4.337 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.337 * [taylor]: Taking taylor expansion of x in x 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (/ 1 1) into 1 4.337 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.337 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.337 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.337 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 4.337 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 4.337 * [taylor]: Taking taylor expansion of 1 in x 4.337 * [backup-simplify]: Simplify 1 into 1 4.338 * [backup-simplify]: Simplify (- 1) into -1 4.338 * [backup-simplify]: Simplify (+ (- 1.0 (cos (/ 1 x))) -1) into (- (cos (/ 1 x))) 4.338 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 4.338 * [backup-simplify]: Simplify (log (- 1 (cos (/ 1 x)))) into (log (- 1 (cos (/ 1 x)))) 4.338 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos (/ 1 x)))))) in x 4.338 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos (/ 1 x))))))) 4.338 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos (/ 1 x)))))) in x 4.338 * [taylor]: Taking taylor expansion of 1 in x 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos (/ 1 x))))) in x 4.338 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos (/ 1 x))))) 1) 4.338 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos (/ 1 x))))) in x 4.338 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 4.338 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.338 * [taylor]: Taking taylor expansion of 1.0 in x 4.338 * [backup-simplify]: Simplify 1.0 into 1.0 4.338 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.338 * [taylor]: Taking taylor expansion of x in x 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (/ 1 1) into 1 4.339 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.339 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.339 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.339 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 4.339 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 4.339 * [taylor]: Taking taylor expansion of 1 in x 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (- 1) into -1 4.339 * [backup-simplify]: Simplify (+ (- 1.0 (cos (/ 1 x))) -1) into (- (cos (/ 1 x))) 4.340 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 4.340 * [backup-simplify]: Simplify (log (- 1 (cos (/ 1 x)))) into (log (- 1 (cos (/ 1 x)))) 4.340 * [backup-simplify]: Simplify (log (- 1 (cos (/ 1 x)))) into (log (- 1 (cos (/ 1 x)))) 4.340 * [backup-simplify]: Simplify (- 0) into 0 4.340 * [backup-simplify]: Simplify (+ 0 0) into 0 4.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 1) into 0 4.341 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.342 * [backup-simplify]: Simplify (- 0) into 0 4.342 * [backup-simplify]: Simplify (+ 0 0) into 0 4.342 * [backup-simplify]: Simplify (+ 0 0) into 0 4.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 1) into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify (- 0) into 0 4.344 * [backup-simplify]: Simplify (+ 0 0) into 0 4.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 2) into 0 4.348 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.348 * [backup-simplify]: Simplify (- 0) into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.352 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 2) into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify (- 0) into 0 4.353 * [backup-simplify]: Simplify (+ 0 0) into 0 4.356 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 6) into 0 4.358 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.358 * [backup-simplify]: Simplify (- 0) into 0 4.359 * [backup-simplify]: Simplify (+ 0 0) into 0 4.359 * [backup-simplify]: Simplify (+ 0 0) into 0 4.363 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1 (cos (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 6) into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify (- 0) into 0 4.364 * [backup-simplify]: Simplify (+ 0 0) into 0 4.370 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 24) into 0 4.371 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.372 * [backup-simplify]: Simplify (- 0) into 0 4.372 * [backup-simplify]: Simplify (+ 0 0) into 0 4.372 * [backup-simplify]: Simplify (+ 0 0) into 0 4.375 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1 (cos (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1 (cos (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1 (cos (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 24) into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify (- 0) into 0 4.376 * [backup-simplify]: Simplify (+ 0 0) into 0 4.380 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 120) into 0 4.382 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.383 * [backup-simplify]: Simplify (- 0) into 0 4.383 * [backup-simplify]: Simplify (+ 0 0) into 0 4.383 * [backup-simplify]: Simplify (+ 0 0) into 0 4.388 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1 (cos (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1 (cos (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1 (cos (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 120) into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify (- 0) into 0 4.388 * [backup-simplify]: Simplify (+ 0 0) into 0 4.398 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 720) into 0 4.404 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.405 * [backup-simplify]: Simplify (- 0) into 0 4.405 * [backup-simplify]: Simplify (+ 0 0) into 0 4.405 * [backup-simplify]: Simplify (+ 0 0) into 0 4.421 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1 (cos (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1 (cos (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1 (cos (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1 (cos (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1 (cos (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 720) into 0 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify (log (- 1 (cos (/ 1 (/ 1 x))))) into (log (- 1 (cos x))) 4.422 * [backup-simplify]: Simplify (log1p (expm1 (log (- 1.0 (cos (/ 1 (- x))))))) into (log1p (expm1 (log (- 1.0 (cos (/ -1 x)))))) 4.422 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos (/ -1 x)))))) in (x) around 0 4.422 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos (/ -1 x)))))) in x 4.422 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos (/ -1 x))))))) 4.422 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos (/ -1 x)))))) in x 4.422 * [taylor]: Taking taylor expansion of 1 in x 4.422 * [backup-simplify]: Simplify 1 into 1 4.422 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos (/ -1 x))))) in x 4.422 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos (/ -1 x))))) 1) 4.422 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos (/ -1 x))))) in x 4.422 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 4.422 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.422 * [taylor]: Taking taylor expansion of 1.0 in x 4.422 * [backup-simplify]: Simplify 1.0 into 1.0 4.422 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.422 * [taylor]: Taking taylor expansion of -1 in x 4.422 * [backup-simplify]: Simplify -1 into -1 4.422 * [taylor]: Taking taylor expansion of x in x 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 1 into 1 4.422 * [backup-simplify]: Simplify (/ -1 1) into -1 4.422 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.422 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.422 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.423 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 4.423 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 4.423 * [taylor]: Taking taylor expansion of 1 in x 4.423 * [backup-simplify]: Simplify 1 into 1 4.423 * [backup-simplify]: Simplify (- 1) into -1 4.423 * [backup-simplify]: Simplify (+ (- 1.0 (cos (/ -1 x))) -1) into (- (cos (/ -1 x))) 4.423 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 4.423 * [backup-simplify]: Simplify (log (- 1 (cos (/ -1 x)))) into (log (- 1 (cos (/ -1 x)))) 4.423 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos (/ -1 x)))))) in x 4.423 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos (/ -1 x))))))) 4.423 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos (/ -1 x)))))) in x 4.423 * [taylor]: Taking taylor expansion of 1 in x 4.423 * [backup-simplify]: Simplify 1 into 1 4.423 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos (/ -1 x))))) in x 4.423 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos (/ -1 x))))) 1) 4.423 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos (/ -1 x))))) in x 4.423 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 4.423 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.423 * [taylor]: Taking taylor expansion of 1.0 in x 4.424 * [backup-simplify]: Simplify 1.0 into 1.0 4.424 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.424 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.424 * [taylor]: Taking taylor expansion of -1 in x 4.424 * [backup-simplify]: Simplify -1 into -1 4.424 * [taylor]: Taking taylor expansion of x in x 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.424 * [backup-simplify]: Simplify (/ -1 1) into -1 4.424 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.424 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.424 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.424 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 4.424 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 4.424 * [taylor]: Taking taylor expansion of 1 in x 4.424 * [backup-simplify]: Simplify 1 into 1 4.425 * [backup-simplify]: Simplify (- 1) into -1 4.425 * [backup-simplify]: Simplify (+ (- 1.0 (cos (/ -1 x))) -1) into (- (cos (/ -1 x))) 4.425 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 4.425 * [backup-simplify]: Simplify (log (- 1 (cos (/ -1 x)))) into (log (- 1 (cos (/ -1 x)))) 4.425 * [backup-simplify]: Simplify (log (- 1 (cos (/ -1 x)))) into (log (- 1 (cos (/ -1 x)))) 4.425 * [backup-simplify]: Simplify (- 0) into 0 4.425 * [backup-simplify]: Simplify (+ 0 0) into 0 4.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 1) into 0 4.427 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.427 * [backup-simplify]: Simplify (- 0) into 0 4.427 * [backup-simplify]: Simplify (+ 0 0) into 0 4.427 * [backup-simplify]: Simplify (+ 0 0) into 0 4.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 1) into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify (- 0) into 0 4.428 * [backup-simplify]: Simplify (+ 0 0) into 0 4.429 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 2) into 0 4.430 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.430 * [backup-simplify]: Simplify (- 0) into 0 4.431 * [backup-simplify]: Simplify (+ 0 0) into 0 4.431 * [backup-simplify]: Simplify (+ 0 0) into 0 4.432 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 2) into 0 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify (- 0) into 0 4.433 * [backup-simplify]: Simplify (+ 0 0) into 0 4.434 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 6) into 0 4.435 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.436 * [backup-simplify]: Simplify (- 0) into 0 4.436 * [backup-simplify]: Simplify (+ 0 0) into 0 4.436 * [backup-simplify]: Simplify (+ 0 0) into 0 4.438 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1 (cos (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 6) into 0 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify (- 0) into 0 4.438 * [backup-simplify]: Simplify (+ 0 0) into 0 4.441 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 24) into 0 4.443 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.443 * [backup-simplify]: Simplify (- 0) into 0 4.443 * [backup-simplify]: Simplify (+ 0 0) into 0 4.444 * [backup-simplify]: Simplify (+ 0 0) into 0 4.448 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1 (cos (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1 (cos (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1 (cos (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 24) into 0 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify (- 0) into 0 4.449 * [backup-simplify]: Simplify (+ 0 0) into 0 4.458 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 120) into 0 4.460 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.460 * [backup-simplify]: Simplify (- 0) into 0 4.460 * [backup-simplify]: Simplify (+ 0 0) into 0 4.461 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1 (cos (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1 (cos (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1 (cos (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 120) into 0 4.465 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify (- 0) into 0 4.466 * [backup-simplify]: Simplify (+ 0 0) into 0 4.473 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 720) into 0 4.477 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.477 * [backup-simplify]: Simplify (- 0) into 0 4.477 * [backup-simplify]: Simplify (+ 0 0) into 0 4.477 * [backup-simplify]: Simplify (+ 0 0) into 0 4.485 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1 (cos (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1 (cos (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1 (cos (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1 (cos (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1 (cos (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 720) into 0 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify (log (- 1 (cos (/ -1 (/ 1 (- x)))))) into (log (- 1 (cos x))) 4.485 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 4.485 * [backup-simplify]: Simplify (log (- 1.0 (cos x))) into (log (- 1.0 (cos x))) 4.485 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 4.485 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 4.485 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.485 * [taylor]: Taking taylor expansion of 1.0 in x 4.485 * [backup-simplify]: Simplify 1.0 into 1.0 4.485 * [taylor]: Taking taylor expansion of (cos x) in x 4.485 * [taylor]: Taking taylor expansion of x in x 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify 1 into 1 4.486 * [backup-simplify]: Simplify (- 1) into -1 4.486 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.486 * [backup-simplify]: Simplify (+ 0) into 0 4.486 * [backup-simplify]: Simplify (- 0) into 0 4.487 * [backup-simplify]: Simplify (+ 0 0) into 0 4.487 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.487 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.488 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.488 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 4.488 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 4.488 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.488 * [taylor]: Taking taylor expansion of 1.0 in x 4.488 * [backup-simplify]: Simplify 1.0 into 1.0 4.488 * [taylor]: Taking taylor expansion of (cos x) in x 4.488 * [taylor]: Taking taylor expansion of x in x 4.488 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify 1 into 1 4.488 * [backup-simplify]: Simplify (- 1) into -1 4.489 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.489 * [backup-simplify]: Simplify (+ 0) into 0 4.489 * [backup-simplify]: Simplify (- 0) into 0 4.489 * [backup-simplify]: Simplify (+ 0 0) into 0 4.490 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.491 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.491 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.491 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 4.492 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.493 * [backup-simplify]: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.494 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.494 * [backup-simplify]: Simplify (- 0) into 0 4.495 * [backup-simplify]: Simplify (+ 0 0) into 0 4.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 4.496 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 4.500 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.500 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 -1/24) 1)) (pow 1/2 1)))) 2) into -1/12 4.504 * [backup-simplify]: Simplify -1/12 into -1/12 4.506 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.506 * [backup-simplify]: Simplify (- 0) into 0 4.506 * [backup-simplify]: Simplify (+ 0 0) into 0 4.509 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 4.509 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 4.515 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.515 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.521 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 -1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/720) 1)) (pow 1/2 1)))) 24) into -1/1440 4.521 * [backup-simplify]: Simplify -1/1440 into -1/1440 4.522 * [backup-simplify]: Simplify (+ (* -1/1440 (pow x 4)) (+ (* -1/12 (pow x 2)) (+ (* 2 (log x)) (log 1/2)))) into (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) 4.522 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 4.522 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 4.522 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 4.522 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.522 * [taylor]: Taking taylor expansion of 1.0 in x 4.522 * [backup-simplify]: Simplify 1.0 into 1.0 4.522 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.522 * [taylor]: Taking taylor expansion of x in x 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify 1 into 1 4.523 * [backup-simplify]: Simplify (/ 1 1) into 1 4.523 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.523 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.523 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.523 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 4.523 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 4.523 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.523 * [taylor]: Taking taylor expansion of 1.0 in x 4.523 * [backup-simplify]: Simplify 1.0 into 1.0 4.523 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.523 * [taylor]: Taking taylor expansion of x in x 4.523 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify 1 into 1 4.523 * [backup-simplify]: Simplify (/ 1 1) into 1 4.523 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.523 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.524 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.524 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 4.524 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 4.524 * [backup-simplify]: Simplify (- 0) into 0 4.524 * [backup-simplify]: Simplify (+ 0 0) into 0 4.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 1) into 0 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify (- 0) into 0 4.525 * [backup-simplify]: Simplify (+ 0 0) into 0 4.526 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 2) into 0 4.526 * [backup-simplify]: Simplify 0 into 0 4.527 * [backup-simplify]: Simplify (- 0) into 0 4.527 * [backup-simplify]: Simplify (+ 0 0) into 0 4.529 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 6) into 0 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (- 0) into 0 4.529 * [backup-simplify]: Simplify (+ 0 0) into 0 4.532 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 24) into 0 4.532 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify (- 0) into 0 4.533 * [backup-simplify]: Simplify (+ 0 0) into 0 4.538 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 120) into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify (- 0) into 0 4.539 * [backup-simplify]: Simplify (+ 0 0) into 0 4.552 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 720) into 0 4.553 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (/ 1 x))))) into (log (- 1.0 (cos x))) 4.553 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (- x))))) into (log (- 1.0 (cos (/ -1 x)))) 4.553 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 4.553 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 4.553 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.553 * [taylor]: Taking taylor expansion of 1.0 in x 4.553 * [backup-simplify]: Simplify 1.0 into 1.0 4.553 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.553 * [taylor]: Taking taylor expansion of -1 in x 4.553 * [backup-simplify]: Simplify -1 into -1 4.553 * [taylor]: Taking taylor expansion of x in x 4.553 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify 1 into 1 4.554 * [backup-simplify]: Simplify (/ -1 1) into -1 4.554 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.554 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.554 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.554 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 4.554 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 4.554 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.554 * [taylor]: Taking taylor expansion of 1.0 in x 4.554 * [backup-simplify]: Simplify 1.0 into 1.0 4.554 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.554 * [taylor]: Taking taylor expansion of -1 in x 4.554 * [backup-simplify]: Simplify -1 into -1 4.554 * [taylor]: Taking taylor expansion of x in x 4.554 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify 1 into 1 4.555 * [backup-simplify]: Simplify (/ -1 1) into -1 4.555 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.555 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.555 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.555 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 4.555 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 4.555 * [backup-simplify]: Simplify (- 0) into 0 4.556 * [backup-simplify]: Simplify (+ 0 0) into 0 4.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 1) into 0 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify (- 0) into 0 4.557 * [backup-simplify]: Simplify (+ 0 0) into 0 4.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 2) into 0 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify (- 0) into 0 4.558 * [backup-simplify]: Simplify (+ 0 0) into 0 4.560 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 6) into 0 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify (- 0) into 0 4.560 * [backup-simplify]: Simplify (+ 0 0) into 0 4.563 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 24) into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify (- 0) into 0 4.564 * [backup-simplify]: Simplify (+ 0 0) into 0 4.569 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 120) into 0 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify (- 0) into 0 4.569 * [backup-simplify]: Simplify (+ 0 0) into 0 4.577 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 720) into 0 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (log (- 1.0 (cos x))) 4.577 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.577 * [backup-simplify]: Simplify (exp (log1p (expm1 (log (- 1.0 (cos x)))))) into (exp (log1p (expm1 (log (- 1.0 (cos x)))))) 4.577 * [approximate]: Taking taylor expansion of (exp (log1p (expm1 (log (- 1.0 (cos x)))))) in (x) around 0 4.577 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (- 1.0 (cos x)))))) in x 4.577 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos x))))) in x 4.578 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos x)))))) 4.578 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos x))))) in x 4.578 * [taylor]: Taking taylor expansion of 1 in x 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos x)))) in x 4.578 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos x)))) 1) 4.578 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos x)))) in x 4.578 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 4.578 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.578 * [taylor]: Taking taylor expansion of 1.0 in x 4.578 * [backup-simplify]: Simplify 1.0 into 1.0 4.578 * [taylor]: Taking taylor expansion of (cos x) in x 4.578 * [taylor]: Taking taylor expansion of x in x 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.579 * [backup-simplify]: Simplify (- 1) into -1 4.579 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.579 * [backup-simplify]: Simplify (+ 0) into 0 4.579 * [backup-simplify]: Simplify (- 0) into 0 4.580 * [backup-simplify]: Simplify (+ 0 0) into 0 4.580 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.580 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.581 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.581 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 4.581 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.582 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.583 * [backup-simplify]: Simplify (exp (+ (* 2 (log x)) (log 1/2))) into (exp (+ (* 2 (log x)) (log 1/2))) 4.583 * [taylor]: Taking taylor expansion of 1 in x 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [backup-simplify]: Simplify (- 1) into -1 4.584 * [backup-simplify]: Simplify (+ (exp (+ (* 2 (log x)) (log 1/2))) -1) into (- (exp (+ (* 2 (log x)) (log 1/2))) 1) 4.584 * [backup-simplify]: Simplify (+ 1 (- (exp (+ (* 2 (log x)) (log 1/2))) 1)) into (exp (+ (* 2 (log x)) (log 1/2))) 4.585 * [backup-simplify]: Simplify (log (exp (+ (* 2 (log x)) (log 1/2)))) into (+ (* 2 (log x)) (log 1/2)) 4.586 * [backup-simplify]: Simplify (exp (+ (* 2 (log x)) (log 1/2))) into (exp (+ (* 2 (log x)) (log 1/2))) 4.586 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (- 1.0 (cos x)))))) in x 4.586 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos x))))) in x 4.586 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos x)))))) 4.586 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos x))))) in x 4.586 * [taylor]: Taking taylor expansion of 1 in x 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos x)))) in x 4.586 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos x)))) 1) 4.586 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos x)))) in x 4.586 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 4.586 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 4.586 * [taylor]: Taking taylor expansion of 1.0 in x 4.586 * [backup-simplify]: Simplify 1.0 into 1.0 4.586 * [taylor]: Taking taylor expansion of (cos x) in x 4.586 * [taylor]: Taking taylor expansion of x in x 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 1 into 1 4.587 * [backup-simplify]: Simplify (- 1) into -1 4.587 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 4.588 * [backup-simplify]: Simplify (+ 0) into 0 4.588 * [backup-simplify]: Simplify (- 0) into 0 4.589 * [backup-simplify]: Simplify (+ 0 0) into 0 4.590 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 4.590 * [backup-simplify]: Simplify (- -1/2) into 1/2 4.590 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.591 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 4.592 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.592 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.593 * [backup-simplify]: Simplify (exp (+ (* 2 (log x)) (log 1/2))) into (exp (+ (* 2 (log x)) (log 1/2))) 4.593 * [taylor]: Taking taylor expansion of 1 in x 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify (- 1) into -1 4.594 * [backup-simplify]: Simplify (+ (exp (+ (* 2 (log x)) (log 1/2))) -1) into (- (exp (+ (* 2 (log x)) (log 1/2))) 1) 4.595 * [backup-simplify]: Simplify (+ 1 (- (exp (+ (* 2 (log x)) (log 1/2))) 1)) into (exp (+ (* 2 (log x)) (log 1/2))) 4.595 * [backup-simplify]: Simplify (log (exp (+ (* 2 (log x)) (log 1/2)))) into (+ (* 2 (log x)) (log 1/2)) 4.596 * [backup-simplify]: Simplify (exp (+ (* 2 (log x)) (log 1/2))) into (exp (+ (* 2 (log x)) (log 1/2))) 4.597 * [backup-simplify]: Simplify (exp (+ (* 2 (log x)) (log 1/2))) into (exp (+ (* 2 (log x)) (log 1/2))) 4.597 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.598 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.599 * [backup-simplify]: Simplify (- 0) into 0 4.599 * [backup-simplify]: Simplify (+ 0 0) into 0 4.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 4.601 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 4.601 * [backup-simplify]: Simplify (- 0) into 0 4.601 * [backup-simplify]: Simplify (+ 0 0) into 0 4.602 * [backup-simplify]: Simplify (+ 0 0) into 0 4.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 1)))) 1) into 0 4.603 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 4.603 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 4.606 * [backup-simplify]: Simplify (- 1/24) into -1/24 4.607 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 4.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 -1/24) 1)) (pow 1/2 1)))) 2) into -1/12 4.610 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/12 1) 1)))) into (* -1/12 (exp (+ (* 2 (log x)) (log 1/2)))) 4.610 * [backup-simplify]: Simplify (- 0) into 0 4.610 * [backup-simplify]: Simplify (+ (* -1/12 (exp (+ (* 2 (log x)) (log 1/2)))) 0) into (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2))))) 4.610 * [backup-simplify]: Simplify (+ 0 (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2)))))) into (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2))))) 4.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2)))))) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 1)))) 2) into -1/12 4.613 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/12 1) 1)))) into (* -1/12 (exp (+ (* 2 (log x)) (log 1/2)))) 4.614 * [backup-simplify]: Simplify (* -1/12 (exp (+ (* 2 (log x)) (log 1/2)))) into (* -1/12 (exp (+ (* 2 (log x)) (log 1/2)))) 4.614 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.616 * [backup-simplify]: Simplify (- 0) into 0 4.616 * [backup-simplify]: Simplify (+ 0 0) into 0 4.621 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 4.623 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/12 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.623 * [backup-simplify]: Simplify (- 0) into 0 4.623 * [backup-simplify]: Simplify (+ 0 0) into 0 4.624 * [backup-simplify]: Simplify (+ 0 0) into 0 4.626 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2)))))) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 1)))) 6) into 0 4.628 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/12 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 4.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 4.634 * [backup-simplify]: Simplify (- -1/720) into 1/720 4.634 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 4.647 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 -1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/720) 1)) (pow 1/2 1)))) 24) into -1/1440 4.652 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/12 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/12 2) 2)) (* (/ (pow -1/1440 1) 1)))) into (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) 4.653 * [backup-simplify]: Simplify (- 0) into 0 4.653 * [backup-simplify]: Simplify (+ (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) 0) into (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) 4.654 * [backup-simplify]: Simplify (+ 0 (* 1/360 (exp (+ (* 2 (log x)) (log 1/2))))) into (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) 4.662 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2)))))) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/12 (exp (+ (* 2 (log x)) (log 1/2)))))) 2)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/360 (exp (+ (* 2 (log x)) (log 1/2))))) 1)) (pow (exp (+ (* 2 (log x)) (log 1/2))) 1)))) 24) into -1/1440 4.667 * [backup-simplify]: Simplify (* (exp (+ (* 2 (log x)) (log 1/2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/12 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/12 2) 2)) (* (/ (pow -1/1440 1) 1)))) into (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) 4.668 * [backup-simplify]: Simplify (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) into (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) 4.670 * [backup-simplify]: Simplify (+ (* (* 1/360 (exp (+ (* 2 (log x)) (log 1/2)))) (pow x 4)) (+ (* (* -1/12 (exp (+ (* 2 (log x)) (log 1/2)))) (pow x 2)) (exp (+ (* 2 (log x)) (log 1/2))))) into (- (+ (exp (+ (* 2 (log x)) (log 1/2))) (* 1/360 (* (pow x 4) (exp (+ (* 2 (log x)) (log 1/2)))))) (* 1/12 (* (pow x 2) (exp (+ (* 2 (log x)) (log 1/2)))))) 4.670 * [backup-simplify]: Simplify (exp (log1p (expm1 (log (- 1.0 (cos (/ 1 x))))))) into (exp (log1p (expm1 (log (- 1.0 (cos (/ 1 x))))))) 4.670 * [approximate]: Taking taylor expansion of (exp (log1p (expm1 (log (- 1.0 (cos (/ 1 x))))))) in (x) around 0 4.670 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (- 1.0 (cos (/ 1 x))))))) in x 4.670 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos (/ 1 x)))))) in x 4.671 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos (/ 1 x))))))) 4.671 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos (/ 1 x)))))) in x 4.671 * [taylor]: Taking taylor expansion of 1 in x 4.671 * [backup-simplify]: Simplify 1 into 1 4.671 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos (/ 1 x))))) in x 4.671 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos (/ 1 x))))) 1) 4.671 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos (/ 1 x))))) in x 4.671 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 4.671 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.671 * [taylor]: Taking taylor expansion of 1.0 in x 4.671 * [backup-simplify]: Simplify 1.0 into 1.0 4.671 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.671 * [taylor]: Taking taylor expansion of x in x 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (/ 1 1) into 1 4.672 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.672 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.672 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.672 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 4.672 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 4.673 * [taylor]: Taking taylor expansion of 1 in x 4.673 * [backup-simplify]: Simplify 1 into 1 4.673 * [backup-simplify]: Simplify (- 1) into -1 4.673 * [backup-simplify]: Simplify (+ (- 1.0 (cos (/ 1 x))) -1) into (- (cos (/ 1 x))) 4.673 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 4.674 * [backup-simplify]: Simplify (log (- 1 (cos (/ 1 x)))) into (log (- 1 (cos (/ 1 x)))) 4.674 * [backup-simplify]: Simplify (exp (log (- 1 (cos (/ 1 x))))) into (- 1 (cos (/ 1 x))) 4.674 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (- 1.0 (cos (/ 1 x))))))) in x 4.674 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos (/ 1 x)))))) in x 4.674 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos (/ 1 x))))))) 4.674 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos (/ 1 x)))))) in x 4.674 * [taylor]: Taking taylor expansion of 1 in x 4.674 * [backup-simplify]: Simplify 1 into 1 4.674 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos (/ 1 x))))) in x 4.674 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos (/ 1 x))))) 1) 4.674 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos (/ 1 x))))) in x 4.674 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 4.674 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 4.674 * [taylor]: Taking taylor expansion of 1.0 in x 4.674 * [backup-simplify]: Simplify 1.0 into 1.0 4.674 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 4.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.675 * [taylor]: Taking taylor expansion of x in x 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [backup-simplify]: Simplify (/ 1 1) into 1 4.675 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 4.675 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 4.675 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 4.676 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 4.676 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 4.676 * [taylor]: Taking taylor expansion of 1 in x 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (- 1) into -1 4.676 * [backup-simplify]: Simplify (+ (- 1.0 (cos (/ 1 x))) -1) into (- (cos (/ 1 x))) 4.677 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 4.677 * [backup-simplify]: Simplify (log (- 1 (cos (/ 1 x)))) into (log (- 1 (cos (/ 1 x)))) 4.677 * [backup-simplify]: Simplify (exp (log (- 1 (cos (/ 1 x))))) into (- 1 (cos (/ 1 x))) 4.677 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 4.678 * [backup-simplify]: Simplify (- 0) into 0 4.678 * [backup-simplify]: Simplify (+ 0 0) into 0 4.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 1) into 0 4.680 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.681 * [backup-simplify]: Simplify (- 0) into 0 4.681 * [backup-simplify]: Simplify (+ 0 0) into 0 4.681 * [backup-simplify]: Simplify (+ 0 0) into 0 4.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 1) into 0 4.683 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify (- 0) into 0 4.683 * [backup-simplify]: Simplify (+ 0 0) into 0 4.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 2) into 0 4.685 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.685 * [backup-simplify]: Simplify (- 0) into 0 4.685 * [backup-simplify]: Simplify (+ 0 0) into 0 4.686 * [backup-simplify]: Simplify (+ 0 0) into 0 4.687 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 2) into 0 4.688 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify (- 0) into 0 4.688 * [backup-simplify]: Simplify (+ 0 0) into 0 4.690 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 6) into 0 4.691 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.691 * [backup-simplify]: Simplify (- 0) into 0 4.692 * [backup-simplify]: Simplify (+ 0 0) into 0 4.692 * [backup-simplify]: Simplify (+ 0 0) into 0 4.694 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1 (cos (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 6) into 0 4.695 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.695 * [backup-simplify]: Simplify 0 into 0 4.695 * [backup-simplify]: Simplify (- 0) into 0 4.695 * [backup-simplify]: Simplify (+ 0 0) into 0 4.698 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 24) into 0 4.700 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.700 * [backup-simplify]: Simplify (- 0) into 0 4.700 * [backup-simplify]: Simplify (+ 0 0) into 0 4.700 * [backup-simplify]: Simplify (+ 0 0) into 0 4.704 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1 (cos (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1 (cos (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1 (cos (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 24) into 0 4.705 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ 1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify (- 0) into 0 4.706 * [backup-simplify]: Simplify (+ 0 0) into 0 4.711 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 120) into 0 4.715 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.716 * [backup-simplify]: Simplify (- 0) into 0 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [backup-simplify]: Simplify (+ 0 0) into 0 4.725 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1 (cos (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1 (cos (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1 (cos (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 120) into 0 4.731 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ 1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.731 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify (- 0) into 0 4.732 * [backup-simplify]: Simplify (+ 0 0) into 0 4.746 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 720) into 0 4.751 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ 1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.751 * [backup-simplify]: Simplify (- 0) into 0 4.752 * [backup-simplify]: Simplify (+ 0 0) into 0 4.752 * [backup-simplify]: Simplify (+ 0 0) into 0 4.759 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1 (cos (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1 (cos (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1 (cos (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1 (cos (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1 (cos (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1 (cos (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1 (cos (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1 (cos (/ 1 x))) 1)))) 720) into 0 4.762 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ 1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 4.763 * [backup-simplify]: Simplify (exp (log1p (expm1 (log (- 1.0 (cos (/ 1 (- x)))))))) into (exp (log1p (expm1 (log (- 1.0 (cos (/ -1 x))))))) 4.763 * [approximate]: Taking taylor expansion of (exp (log1p (expm1 (log (- 1.0 (cos (/ -1 x))))))) in (x) around 0 4.763 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (- 1.0 (cos (/ -1 x))))))) in x 4.763 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos (/ -1 x)))))) in x 4.763 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos (/ -1 x))))))) 4.763 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos (/ -1 x)))))) in x 4.763 * [taylor]: Taking taylor expansion of 1 in x 4.763 * [backup-simplify]: Simplify 1 into 1 4.763 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos (/ -1 x))))) in x 4.763 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos (/ -1 x))))) 1) 4.763 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos (/ -1 x))))) in x 4.763 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 4.763 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.763 * [taylor]: Taking taylor expansion of 1.0 in x 4.763 * [backup-simplify]: Simplify 1.0 into 1.0 4.763 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.763 * [taylor]: Taking taylor expansion of -1 in x 4.763 * [backup-simplify]: Simplify -1 into -1 4.763 * [taylor]: Taking taylor expansion of x in x 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 1 into 1 4.763 * [backup-simplify]: Simplify (/ -1 1) into -1 4.764 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.764 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.764 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.764 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 4.764 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 4.764 * [taylor]: Taking taylor expansion of 1 in x 4.764 * [backup-simplify]: Simplify 1 into 1 4.764 * [backup-simplify]: Simplify (- 1) into -1 4.764 * [backup-simplify]: Simplify (+ (- 1.0 (cos (/ -1 x))) -1) into (- (cos (/ -1 x))) 4.764 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 4.764 * [backup-simplify]: Simplify (log (- 1 (cos (/ -1 x)))) into (log (- 1 (cos (/ -1 x)))) 4.765 * [backup-simplify]: Simplify (exp (log (- 1 (cos (/ -1 x))))) into (- 1 (cos (/ -1 x))) 4.765 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (- 1.0 (cos (/ -1 x))))))) in x 4.765 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- 1.0 (cos (/ -1 x)))))) in x 4.765 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- 1.0 (cos (/ -1 x))))))) 4.765 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- 1.0 (cos (/ -1 x)))))) in x 4.765 * [taylor]: Taking taylor expansion of 1 in x 4.765 * [backup-simplify]: Simplify 1 into 1 4.765 * [taylor]: Taking taylor expansion of (expm1 (log (- 1.0 (cos (/ -1 x))))) in x 4.765 * [taylor]: Rewrote expression to (- (exp (log (- 1.0 (cos (/ -1 x))))) 1) 4.765 * [taylor]: Taking taylor expansion of (exp (log (- 1.0 (cos (/ -1 x))))) in x 4.765 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 4.765 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 4.765 * [taylor]: Taking taylor expansion of 1.0 in x 4.765 * [backup-simplify]: Simplify 1.0 into 1.0 4.765 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 4.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.765 * [taylor]: Taking taylor expansion of -1 in x 4.765 * [backup-simplify]: Simplify -1 into -1 4.765 * [taylor]: Taking taylor expansion of x in x 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 1 into 1 4.765 * [backup-simplify]: Simplify (/ -1 1) into -1 4.765 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 4.765 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 4.765 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 4.766 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 4.766 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ -1 x))))) into (- 1.0 (cos (/ -1 x))) 4.766 * [taylor]: Taking taylor expansion of 1 in x 4.766 * [backup-simplify]: Simplify 1 into 1 4.766 * [backup-simplify]: Simplify (- 1) into -1 4.766 * [backup-simplify]: Simplify (+ (- 1.0 (cos (/ -1 x))) -1) into (- (cos (/ -1 x))) 4.766 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 4.766 * [backup-simplify]: Simplify (log (- 1 (cos (/ -1 x)))) into (log (- 1 (cos (/ -1 x)))) 4.766 * [backup-simplify]: Simplify (exp (log (- 1 (cos (/ -1 x))))) into (- 1 (cos (/ -1 x))) 4.766 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 4.767 * [backup-simplify]: Simplify (- 0) into 0 4.767 * [backup-simplify]: Simplify (+ 0 0) into 0 4.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 1) into 0 4.768 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.768 * [backup-simplify]: Simplify (- 0) into 0 4.768 * [backup-simplify]: Simplify (+ 0 0) into 0 4.769 * [backup-simplify]: Simplify (+ 0 0) into 0 4.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 1) into 0 4.770 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ -1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify (- 0) into 0 4.770 * [backup-simplify]: Simplify (+ 0 0) into 0 4.771 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 2) into 0 4.772 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.772 * [backup-simplify]: Simplify (- 0) into 0 4.773 * [backup-simplify]: Simplify (+ 0 0) into 0 4.773 * [backup-simplify]: Simplify (+ 0 0) into 0 4.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 2) into 0 4.776 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ -1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify (- 0) into 0 4.777 * [backup-simplify]: Simplify (+ 0 0) into 0 4.780 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 6) into 0 4.782 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.782 * [backup-simplify]: Simplify (- 0) into 0 4.783 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [backup-simplify]: Simplify (+ 0 0) into 0 4.786 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1 (cos (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 6) into 0 4.788 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ -1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify (- 0) into 0 4.789 * [backup-simplify]: Simplify (+ 0 0) into 0 4.795 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 24) into 0 4.798 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.799 * [backup-simplify]: Simplify (- 0) into 0 4.799 * [backup-simplify]: Simplify (+ 0 0) into 0 4.799 * [backup-simplify]: Simplify (+ 0 0) into 0 4.805 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1 (cos (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- 1 (cos (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- 1 (cos (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 24) into 0 4.808 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ -1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.808 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify (- 0) into 0 4.809 * [backup-simplify]: Simplify (+ 0 0) into 0 4.818 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 120) into 0 4.822 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.823 * [backup-simplify]: Simplify (- 0) into 0 4.823 * [backup-simplify]: Simplify (+ 0 0) into 0 4.823 * [backup-simplify]: Simplify (+ 0 0) into 0 4.832 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- 1 (cos (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- 1 (cos (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- 1 (cos (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 120) into 0 4.834 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ -1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify (- 0) into 0 4.835 * [backup-simplify]: Simplify (+ 0 0) into 0 4.842 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1.0 (cos (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 720) into 0 4.845 * [backup-simplify]: Simplify (* (exp (log (- 1.0 (cos (/ -1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.846 * [backup-simplify]: Simplify (- 0) into 0 4.846 * [backup-simplify]: Simplify (+ 0 0) into 0 4.846 * [backup-simplify]: Simplify (+ 0 0) into 0 4.854 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- 1 (cos (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- 1 (cos (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- 1 (cos (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- 1 (cos (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- 1 (cos (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- 1 (cos (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- 1 (cos (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- 1 (cos (/ -1 x))) 1)))) 720) into 0 4.857 * [backup-simplify]: Simplify (* (exp (log (- 1 (cos (/ -1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 4.857 * * * [progress]: simplifying candidates 4.858 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (+ 1 (expm1 (log (- 1.0 (cos x))))) (expm1 (log1p (expm1 (log (- 1.0 (cos x)))))) (log1p (log1p (expm1 (log (- 1.0 (cos x)))))) (log (log1p (expm1 (log (- 1.0 (cos x)))))) (exp (log1p (expm1 (log (- 1.0 (cos x)))))) (* (cbrt (log1p (expm1 (log (- 1.0 (cos x)))))) (cbrt (log1p (expm1 (log (- 1.0 (cos x))))))) (cbrt (log1p (expm1 (log (- 1.0 (cos x)))))) (* (* (log1p (expm1 (log (- 1.0 (cos x))))) (log1p (expm1 (log (- 1.0 (cos x)))))) (log1p (expm1 (log (- 1.0 (cos x)))))) (sqrt (log1p (expm1 (log (- 1.0 (cos x)))))) (sqrt (log1p (expm1 (log (- 1.0 (cos x)))))) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (exp (log1p (expm1 (log (- 1.0 (cos x))))))) (log1p (exp (log1p (expm1 (log (- 1.0 (cos x))))))) (exp (* (cbrt (log1p (expm1 (log (- 1.0 (cos x)))))) (cbrt (log1p (expm1 (log (- 1.0 (cos x)))))))) (exp (sqrt (log1p (expm1 (log (- 1.0 (cos x))))))) (exp 1) (log (exp (log1p (expm1 (log (- 1.0 (cos x))))))) (exp (exp (log1p (expm1 (log (- 1.0 (cos x))))))) (* (cbrt (exp (log1p (expm1 (log (- 1.0 (cos x))))))) (cbrt (exp (log1p (expm1 (log (- 1.0 (cos x)))))))) (cbrt (exp (log1p (expm1 (log (- 1.0 (cos x))))))) (* (* (exp (log1p (expm1 (log (- 1.0 (cos x)))))) (exp (log1p (expm1 (log (- 1.0 (cos x))))))) (exp (log1p (expm1 (log (- 1.0 (cos x))))))) (sqrt (exp (log1p (expm1 (log (- 1.0 (cos x))))))) (sqrt (exp (log1p (expm1 (log (- 1.0 (cos x))))))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1 (cos x))) (log (- 1 (cos x))) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (- (+ (exp (+ (* 2 (log x)) (log 1/2))) (* 1/360 (* (pow x 4) (exp (+ (* 2 (log x)) (log 1/2)))))) (* 1/12 (* (pow x 2) (exp (+ (* 2 (log x)) (log 1/2)))))) (- 1 (cos x)) (- 1 (cos x)) 4.860 * * [simplify]: Extracting # 0 : cost 0 4.860 * * [simplify]: Extracting # 1 : cost 0 4.860 * * [simplify]: Extracting # 2 : cost 0 4.860 * * [simplify]: Extracting # 3 : cost 0 4.860 * * [simplify]: Extracting # 4 : cost 0 4.860 * * [simplify]: Extracting # 5 : cost 0 4.861 * * [simplify]: Extracting # 6 : cost 0 4.861 * * [simplify]: Extracting # 7 : cost 0 4.861 * * [simplify]: Extracting # 8 : cost 0 4.861 * * [simplify]: Extracting # 9 : cost 0 4.861 * * [simplify]: iteration 0 : 133 enodes (cost 940 ) 4.918 * * [simplify]: Extracting # 0 : cost 0 4.918 * * [simplify]: Extracting # 1 : cost 0 4.918 * * [simplify]: Extracting # 2 : cost 0 4.918 * * [simplify]: Extracting # 3 : cost 0 4.919 * * [simplify]: Extracting # 4 : cost 0 4.919 * * [simplify]: iteration 1 : 265 enodes (cost 733 ) 5.044 * * [simplify]: Extracting # 0 : cost 0 5.046 * * [simplify]: Extracting # 1 : cost 0 5.046 * * [simplify]: Extracting # 2 : cost 0 5.047 * * [simplify]: Extracting # 3 : cost 0 5.048 * * [simplify]: Extracting # 4 : cost 0 5.049 * * [simplify]: iteration 2 : 880 enodes (cost 611 ) 5.748 * * [simplify]: Extracting # 0 : cost 0 5.764 * * [simplify]: Extracting # 1 : cost 0 5.774 * * [simplify]: Extracting # 2 : cost 0 5.780 * * [simplify]: Extracting # 3 : cost 0 5.786 * * [simplify]: Extracting # 4 : cost 0 5.791 * * [simplify]: iteration done: 5000 enodes (cost 568 ) 5.792 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- (pow (cbrt 1.0) 3) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (+ 1 (expm1 (log (- 1.0 (cos x))))) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (log (- 1.0 (cos x)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (pow (log (- 1.0 (cos x))) 3) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (* 2 (log (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) 0 (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) 0 (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (pow (log (- 1.0 (cos x))) 3) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) E (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))) (fma 1/2 (pow x 2) (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (fma 2 (log x) (log 1/2)) (fma 1/12 (pow x 2) (* 1/1440 (pow x 4)))) (log1p (- (cos x))) (log1p (- (cos x))) (- (fma 2 (log x) (log 1/2)) (fma 1/12 (pow x 2) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 1.0 (cos x))) (* (* 1/2 (pow x 2)) (- (fma (pow x 4) 1/360 1) (* 1/12 (pow x 2)))) (- 1 (cos x)) (- 1 (cos x)) 5.792 * * * [progress]: adding candidates to table 6.192 * * [progress]: iteration 4 / 4 6.192 * * * [progress]: picking best candidate 6.229 * * * * [pick]: Picked # 6.229 * * * [progress]: localizing error 6.241 * * * [progress]: generating rewritten candidates 6.241 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 6.250 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 6.280 * * * [progress]: generating series expansions 6.280 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 6.280 * [backup-simplify]: Simplify (- 1 (cos x)) into (- 1 (cos x)) 6.280 * [approximate]: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 6.280 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 6.280 * [taylor]: Taking taylor expansion of 1 in x 6.280 * [backup-simplify]: Simplify 1 into 1 6.280 * [taylor]: Taking taylor expansion of (cos x) in x 6.280 * [taylor]: Taking taylor expansion of x in x 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify 1 into 1 6.280 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 6.280 * [taylor]: Taking taylor expansion of 1 in x 6.280 * [backup-simplify]: Simplify 1 into 1 6.280 * [taylor]: Taking taylor expansion of (cos x) in x 6.280 * [taylor]: Taking taylor expansion of x in x 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify 1 into 1 6.281 * [backup-simplify]: Simplify (- 1) into -1 6.282 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify (+ 0) into 0 6.282 * [backup-simplify]: Simplify (- 0) into 0 6.283 * [backup-simplify]: Simplify (+ 0 0) into 0 6.283 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.284 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.285 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.285 * [backup-simplify]: Simplify 1/2 into 1/2 6.286 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.286 * [backup-simplify]: Simplify (- 0) into 0 6.287 * [backup-simplify]: Simplify (+ 0 0) into 0 6.287 * [backup-simplify]: Simplify 0 into 0 6.289 * [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 6.290 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.290 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.290 * [backup-simplify]: Simplify -1/24 into -1/24 6.293 * [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 6.293 * [backup-simplify]: Simplify (- 0) into 0 6.293 * [backup-simplify]: Simplify (+ 0 0) into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.298 * [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 6.298 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.299 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.299 * [backup-simplify]: Simplify 1/720 into 1/720 6.299 * [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))) 6.299 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 6.299 * [approximate]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 6.299 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 6.299 * [taylor]: Taking taylor expansion of 1 in x 6.299 * [backup-simplify]: Simplify 1 into 1 6.299 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.299 * [taylor]: Taking taylor expansion of x in x 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (/ 1 1) into 1 6.300 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.300 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 6.300 * [taylor]: Taking taylor expansion of 1 in x 6.300 * [backup-simplify]: Simplify 1 into 1 6.300 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.300 * [taylor]: Taking taylor expansion of x in x 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (/ 1 1) into 1 6.300 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.300 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.300 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 6.300 * [backup-simplify]: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) 6.301 * [backup-simplify]: Simplify (- 0) into 0 6.301 * [backup-simplify]: Simplify (+ 0 0) into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify (- 0) into 0 6.301 * [backup-simplify]: Simplify (+ 0 0) into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify (- 0) into 0 6.302 * [backup-simplify]: Simplify (+ 0 0) into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify (- 0) into 0 6.302 * [backup-simplify]: Simplify (+ 0 0) into 0 6.302 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify (- 0) into 0 6.303 * [backup-simplify]: Simplify (+ 0 0) into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify (- 0) into 0 6.303 * [backup-simplify]: Simplify (+ 0 0) into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (/ 1 x)))) into (- 1 (cos x)) 6.304 * [backup-simplify]: Simplify (- 1 (cos (/ 1 (- x)))) into (- 1 (cos (/ -1 x))) 6.304 * [approximate]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in (x) around 0 6.304 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 6.304 * [taylor]: Taking taylor expansion of 1 in x 6.304 * [backup-simplify]: Simplify 1 into 1 6.304 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.304 * [taylor]: Taking taylor expansion of -1 in x 6.304 * [backup-simplify]: Simplify -1 into -1 6.304 * [taylor]: Taking taylor expansion of x in x 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 1 into 1 6.304 * [backup-simplify]: Simplify (/ -1 1) into -1 6.304 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.304 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 6.304 * [taylor]: Taking taylor expansion of 1 in x 6.304 * [backup-simplify]: Simplify 1 into 1 6.304 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.304 * [taylor]: Taking taylor expansion of -1 in x 6.304 * [backup-simplify]: Simplify -1 into -1 6.304 * [taylor]: Taking taylor expansion of x in x 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 1 into 1 6.304 * [backup-simplify]: Simplify (/ -1 1) into -1 6.305 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.305 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.305 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 6.305 * [backup-simplify]: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) 6.305 * [backup-simplify]: Simplify (- 0) into 0 6.305 * [backup-simplify]: Simplify (+ 0 0) into 0 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify (- 0) into 0 6.306 * [backup-simplify]: Simplify (+ 0 0) into 0 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify (- 0) into 0 6.306 * [backup-simplify]: Simplify (+ 0 0) into 0 6.306 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify (- 0) into 0 6.307 * [backup-simplify]: Simplify (+ 0 0) into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify (- 0) into 0 6.307 * [backup-simplify]: Simplify (+ 0 0) into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify (- 0) into 0 6.308 * [backup-simplify]: Simplify (+ 0 0) into 0 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify (- 1 (cos (/ -1 (/ 1 (- x))))) into (- 1 (cos x)) 6.308 * * * * [progress]: [ 2 / 2 ] generating series at (2) 6.308 * [backup-simplify]: Simplify (/ (- 1 (cos x)) (sin x)) into (/ (- 1 (cos x)) (sin x)) 6.308 * [approximate]: Taking taylor expansion of (/ (- 1 (cos x)) (sin x)) in (x) around 0 6.308 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (sin x)) in x 6.308 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 6.308 * [taylor]: Taking taylor expansion of 1 in x 6.308 * [backup-simplify]: Simplify 1 into 1 6.308 * [taylor]: Taking taylor expansion of (cos x) in x 6.308 * [taylor]: Taking taylor expansion of x in x 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.308 * [taylor]: Taking taylor expansion of (sin x) in x 6.308 * [taylor]: Taking taylor expansion of x in x 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.309 * [backup-simplify]: Simplify (- 1) into -1 6.309 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.309 * [backup-simplify]: Simplify (+ 0) into 0 6.309 * [backup-simplify]: Simplify (- 0) into 0 6.310 * [backup-simplify]: Simplify (+ 0 0) into 0 6.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.310 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.311 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.311 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.311 * [taylor]: Taking taylor expansion of (/ (- 1 (cos x)) (sin x)) in x 6.311 * [taylor]: Taking taylor expansion of (- 1 (cos x)) in x 6.311 * [taylor]: Taking taylor expansion of 1 in x 6.311 * [backup-simplify]: Simplify 1 into 1 6.311 * [taylor]: Taking taylor expansion of (cos x) in x 6.311 * [taylor]: Taking taylor expansion of x in x 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.311 * [taylor]: Taking taylor expansion of (sin x) in x 6.311 * [taylor]: Taking taylor expansion of x in x 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.312 * [backup-simplify]: Simplify (- 1) into -1 6.312 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.312 * [backup-simplify]: Simplify (+ 0) into 0 6.312 * [backup-simplify]: Simplify (- 0) into 0 6.313 * [backup-simplify]: Simplify (+ 0 0) into 0 6.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 6.313 * [backup-simplify]: Simplify (- -1/2) into 1/2 6.314 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.314 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.314 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.314 * [backup-simplify]: Simplify 1/2 into 1/2 6.315 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.315 * [backup-simplify]: Simplify (- 0) into 0 6.315 * [backup-simplify]: Simplify (+ 0 0) into 0 6.316 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.316 * [backup-simplify]: Simplify 0 into 0 6.318 * [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 6.318 * [backup-simplify]: Simplify (- 1/24) into -1/24 6.318 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 6.319 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 6.320 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 6.320 * [backup-simplify]: Simplify 1/24 into 1/24 6.321 * [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 6.322 * [backup-simplify]: Simplify (- 0) into 0 6.322 * [backup-simplify]: Simplify (+ 0 0) into 0 6.323 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 6.324 * [backup-simplify]: Simplify 0 into 0 6.326 * [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 6.327 * [backup-simplify]: Simplify (- -1/720) into 1/720 6.327 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 6.329 * [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 6.330 * [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 6.330 * [backup-simplify]: Simplify 1/240 into 1/240 6.331 * [backup-simplify]: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) 6.331 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) 6.331 * [approximate]: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 6.331 * [taylor]: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) in x 6.331 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 6.331 * [taylor]: Taking taylor expansion of 1 in x 6.331 * [backup-simplify]: Simplify 1 into 1 6.331 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.331 * [taylor]: Taking taylor expansion of x in x 6.331 * [backup-simplify]: Simplify 0 into 0 6.331 * [backup-simplify]: Simplify 1 into 1 6.331 * [backup-simplify]: Simplify (/ 1 1) into 1 6.331 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.331 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.331 * [taylor]: Taking taylor expansion of x in x 6.331 * [backup-simplify]: Simplify 0 into 0 6.331 * [backup-simplify]: Simplify 1 into 1 6.332 * [backup-simplify]: Simplify (/ 1 1) into 1 6.332 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.332 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.332 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 6.332 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) 6.332 * [taylor]: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) in x 6.332 * [taylor]: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x 6.332 * [taylor]: Taking taylor expansion of 1 in x 6.332 * [backup-simplify]: Simplify 1 into 1 6.332 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 6.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.332 * [taylor]: Taking taylor expansion of x in x 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify 1 into 1 6.332 * [backup-simplify]: Simplify (/ 1 1) into 1 6.332 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 6.332 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 6.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.332 * [taylor]: Taking taylor expansion of x in x 6.333 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify 1 into 1 6.333 * [backup-simplify]: Simplify (/ 1 1) into 1 6.333 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 6.333 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 6.333 * [backup-simplify]: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) 6.333 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) 6.333 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) 6.334 * [backup-simplify]: Simplify (- 0) into 0 6.334 * [backup-simplify]: Simplify (+ 0 0) into 0 6.334 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify (- 0) into 0 6.335 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify (- 0) into 0 6.336 * [backup-simplify]: Simplify (+ 0 0) into 0 6.336 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 6.336 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify (- 0) into 0 6.338 * [backup-simplify]: Simplify (+ 0 0) into 0 6.339 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (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 6.339 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify (- 0) into 0 6.340 * [backup-simplify]: Simplify (+ 0 0) into 0 6.340 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (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 6.340 * [backup-simplify]: Simplify 0 into 0 6.341 * [backup-simplify]: Simplify (- 0) into 0 6.341 * [backup-simplify]: Simplify (+ 0 0) into 0 6.342 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (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 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1 (cos x)) (sin x)) 6.343 * [backup-simplify]: Simplify (/ (- 1 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) 6.343 * [approximate]: Taking taylor expansion of (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 6.343 * [taylor]: Taking taylor expansion of (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) in x 6.343 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 6.343 * [taylor]: Taking taylor expansion of 1 in x 6.343 * [backup-simplify]: Simplify 1 into 1 6.343 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.343 * [taylor]: Taking taylor expansion of -1 in x 6.343 * [backup-simplify]: Simplify -1 into -1 6.343 * [taylor]: Taking taylor expansion of x in x 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 1 into 1 6.344 * [backup-simplify]: Simplify (/ -1 1) into -1 6.344 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.344 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.344 * [taylor]: Taking taylor expansion of -1 in x 6.344 * [backup-simplify]: Simplify -1 into -1 6.344 * [taylor]: Taking taylor expansion of x in x 6.344 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify 1 into 1 6.344 * [backup-simplify]: Simplify (/ -1 1) into -1 6.345 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.345 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.345 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 6.345 * [backup-simplify]: Simplify (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) 6.345 * [taylor]: Taking taylor expansion of (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) in x 6.345 * [taylor]: Taking taylor expansion of (- 1 (cos (/ -1 x))) in x 6.345 * [taylor]: Taking taylor expansion of 1 in x 6.345 * [backup-simplify]: Simplify 1 into 1 6.345 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 6.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.345 * [taylor]: Taking taylor expansion of -1 in x 6.345 * [backup-simplify]: Simplify -1 into -1 6.345 * [taylor]: Taking taylor expansion of x in x 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (/ -1 1) into -1 6.346 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 6.346 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 6.346 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.346 * [taylor]: Taking taylor expansion of -1 in x 6.346 * [backup-simplify]: Simplify -1 into -1 6.346 * [taylor]: Taking taylor expansion of x in x 6.346 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (/ -1 1) into -1 6.347 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 6.347 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 6.347 * [backup-simplify]: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) 6.347 * [backup-simplify]: Simplify (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) 6.347 * [backup-simplify]: Simplify (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) 6.348 * [backup-simplify]: Simplify (- 0) into 0 6.348 * [backup-simplify]: Simplify (+ 0 0) into 0 6.348 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify (- 0) into 0 6.350 * [backup-simplify]: Simplify (+ 0 0) into 0 6.350 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify (- 0) into 0 6.351 * [backup-simplify]: Simplify (+ 0 0) into 0 6.352 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify (- 0) into 0 6.353 * [backup-simplify]: Simplify (+ 0 0) into 0 6.353 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (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 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify (- 0) into 0 6.354 * [backup-simplify]: Simplify (+ 0 0) into 0 6.355 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (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 6.355 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify (- 0) into 0 6.356 * [backup-simplify]: Simplify (+ 0 0) into 0 6.357 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (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 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify (/ (- 1 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1 (cos x)) (sin x)) 6.357 * * * [progress]: simplifying candidates 6.360 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1) (sqrt 1) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1) (exp (cos x))) (log (- 1 (cos x))) (exp (- 1 (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- (pow 1 3) (pow (cos x) 3)) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))) (- (cos x)) (- (* 1 1) (* (cos x) (cos x))) (+ 1 (cos x)) (+ (sqrt 1) (sqrt (cos x))) (- (sqrt 1) (sqrt (cos x))) (+ 1 (sqrt (cos x))) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (expm1 (/ (- 1 (cos x)) (sin x))) (log1p (/ (- 1 (cos x)) (sin x))) (/ x 2) (- (log (- 1 (cos x))) (log (sin x))) (log (/ (- 1 (cos x)) (sin x))) (exp (/ (- 1 (cos x)) (sin x))) (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (- 1 (cos x)) (sin x))) (cbrt (/ (- 1 (cos x)) (sin x)))) (cbrt (/ (- 1 (cos x)) (sin x))) (* (* (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x))) (/ (- 1 (cos x)) (sin x))) (sqrt (/ (- 1 (cos x)) (sin x))) (sqrt (/ (- 1 (cos x)) (sin x))) (- (- 1 (cos x))) (- (sin x)) (/ 1 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1 (cos x))) (sqrt (sin x))) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) 1) (/ (cbrt (- 1 (cos x))) (sin x)) (/ (sqrt (- 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1 (cos x))) 1) (/ (sqrt (- 1 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1 (cos x)) (sin x)) (/ (+ (sqrt 1) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- (sqrt 1) (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt 1) (sqrt (cos x))) (sqrt (sin x))) (/ (- (sqrt 1) (sqrt (cos x))) (sqrt (sin x))) (/ (+ (sqrt 1) (sqrt (cos x))) 1) (/ (- (sqrt 1) (sqrt (cos x))) (sin x)) (/ (+ 1 (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1 (sqrt (cos x))) (cbrt (sin x))) (/ (+ 1 (sqrt (cos x))) (sqrt (sin x))) (/ (- 1 (sqrt (cos x))) (sqrt (sin x))) (/ (+ 1 (sqrt (cos x))) 1) (/ (- 1 (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1 (cos x)) (sqrt (sin x))) (/ 1 1) (/ (- 1 (cos x)) (sin x)) (/ 1 (sin x)) (/ (sin x) (- 1 (cos x))) (/ (- 1 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1 (cos x)) (sqrt (sin x))) (/ (- 1 (cos x)) 1) (/ (sin x) (cbrt (- 1 (cos x)))) (/ (sin x) (sqrt (- 1 (cos x)))) (/ (sin x) (- 1 (cos x))) (/ (sin x) (- (sqrt 1) (sqrt (cos x)))) (/ (sin x) (- 1 (sqrt (cos x)))) (/ (sin x) (- 1 (cos x))) (* (sin x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) (* (sin x) (+ 1 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1 (cos x)) (- 1 (cos x)) (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) 6.363 * * [simplify]: Extracting # 0 : cost 0 6.364 * * [simplify]: Extracting # 1 : cost 0 6.364 * * [simplify]: Extracting # 2 : cost 0 6.364 * * [simplify]: Extracting # 3 : cost 0 6.365 * * [simplify]: Extracting # 4 : cost 0 6.365 * * [simplify]: Extracting # 5 : cost 0 6.365 * * [simplify]: Extracting # 6 : cost 0 6.366 * * [simplify]: Extracting # 7 : cost 0 6.366 * * [simplify]: Extracting # 8 : cost 0 6.366 * * [simplify]: iteration 0 : 142 enodes (cost 1040 ) 6.425 * * [simplify]: Extracting # 0 : cost 0 6.426 * * [simplify]: Extracting # 1 : cost 0 6.427 * * [simplify]: Extracting # 2 : cost 0 6.428 * * [simplify]: Extracting # 3 : cost 0 6.428 * * [simplify]: iteration 1 : 336 enodes (cost 809 ) 6.663 * * [simplify]: Extracting # 0 : cost 0 6.665 * * [simplify]: Extracting # 1 : cost 0 6.666 * * [simplify]: Extracting # 2 : cost 0 6.668 * * [simplify]: Extracting # 3 : cost 0 6.670 * * [simplify]: Extracting # 4 : cost 0 6.672 * * [simplify]: iteration 2 : 1350 enodes (cost 721 ) 7.465 * * [simplify]: Extracting # 0 : cost 0 7.483 * * [simplify]: Extracting # 1 : cost 0 7.495 * * [simplify]: Extracting # 2 : cost 0 7.508 * * [simplify]: Extracting # 3 : cost 0 7.520 * * [simplify]: Extracting # 4 : cost 0 7.535 * * [simplify]: iteration done: 5000 enodes (cost 693 ) 7.536 * [simplify]: Simplified to: (- 1 (cos x)) 0 (- 1 (cos x)) 0 (- 1 (cos x)) 0 (- 1 (cos x)) 0 (- 1 (cos x)) 0 (- 1 (cos x)) 0 (- 1 (cos x)) 0 (- 1 (cos x)) 0 (- 1 (cos x)) 0 (expm1 (- 1 (cos x))) (log1p (- 1 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ E (exp (cos x))) (log1p (- (cos x))) (/ E (exp (cos x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (cbrt (- 1 (cos x))) (pow (- 1 (cos x)) 3) (sqrt (- 1 (cos x))) (sqrt (- 1 (cos x))) (- 1 (pow (cos x) 3)) (fma (cos x) (+ (cos x) 1) 1) (- (cos x)) (* (sin x) (sin x)) (+ 1 (cos x)) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (+ (sqrt (cos x)) 1) (- 1 (sqrt (cos x))) (- 1 (cos x)) (- (cos x)) (expm1 (tan (/ x 2))) (log1p (tan (/ x 2))) (/ x 2) (log (tan (/ x 2))) (log (tan (/ x 2))) (exp (tan (/ x 2))) (/ (pow (- 1 (cos x)) 3) (pow (sin x) 3)) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))) (pow (tan (/ x 2)) 3) (sqrt (tan (/ x 2))) (sqrt (tan (/ x 2))) (+ -1 (cos x)) (- (sin x)) (/ 1 (sin x)) (/ (cos x) (sin x)) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (sqrt (sin x))) (/ (cbrt (- 1 (cos x))) (sqrt (sin x))) (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (/ (cbrt (- 1 (cos x))) (sin x)) (/ (sqrt (- 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) (sqrt (- 1 (cos x))) (/ (sqrt (- 1 (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1 (cos x)) (sqrt (sin x))) 1 (tan (/ x 2)) (/ (+ (sqrt (cos x)) 1) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1 (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt (cos x)) 1) (sqrt (sin x))) (/ (- 1 (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) 1) (/ (- 1 (sqrt (cos x))) (sin x)) (/ (+ (sqrt (cos x)) 1) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1 (sqrt (cos x))) (cbrt (sin x))) (/ (+ (sqrt (cos x)) 1) (sqrt (sin x))) (/ (- 1 (sqrt (cos x))) (sqrt (sin x))) (+ (sqrt (cos x)) 1) (/ (- 1 (sqrt (cos x))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1 (cos x)) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (- 1 (cos x)) (sqrt (sin x))) 1 (tan (/ x 2)) (/ 1 (sin x)) (/ (sin x) (- 1 (cos x))) (/ (- 1 (cos x)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (- 1 (cos x)) (sqrt (sin x))) (- 1 (cos x)) (/ (sin x) (cbrt (- 1 (cos x)))) (/ (sin x) (sqrt (- 1 (cos x)))) (/ (sin x) (- 1 (cos x))) (/ (sin x) (- 1 (sqrt (cos x)))) (/ (sin x) (- 1 (sqrt (cos x)))) (/ (sin x) (- 1 (cos x))) (* (fma (cos x) (+ (cos x) 1) 1) (sin x)) (* (+ (cos x) 1) (sin x)) (fma (pow x 2) 1/2 (fma 1/720 (pow x 6) (* (pow x 4) -1/24))) (- 1 (cos x)) (- 1 (cos x)) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (tan (/ x 2)) (tan (/ x 2)) 7.537 * * * [progress]: adding candidates to table 7.767 * [progress]: [Phase 3 of 3] Extracting. 7.770 * [simplify]: Simplifying: (tan (/ x 2)) 7.770 * * [simplify]: Extracting # 0 : cost 0 7.770 * * [simplify]: Extracting # 1 : cost 0 7.770 * * [simplify]: Extracting # 2 : cost 0 7.770 * * [simplify]: Extracting # 3 : cost 0 7.770 * * [simplify]: Extracting # 4 : cost 0 7.770 * * [simplify]: iteration 0 : 4 enodes (cost 4 ) 7.770 * * [simplify]: Extracting # 0 : cost 0 7.770 * * [simplify]: iteration done: 4 enodes (cost 4 ) 7.770 * [simplify]: Simplified to: (tan (/ x 2)) 16.617 * [regime-testing]: Baseline error score: 0.00025003125390673836 16.622 * [regime-testing]: Oracle error score: 0.00025003125390673836 16.622 * [regime-testing]: End program error score: 0.00025003125390673836 16.724 * [regime-testing]: Target error score: 0.00025003125390673836