50.930 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.293 * * * [progress]: [2/2] Setting up program. 0.300 * [progress]: [Phase 2 of 3] Improving. 0.300 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (sin x)) 0.301 * * [simplify]: Extracting # 0 : cost 0 0.301 * * [simplify]: Extracting # 1 : cost 0 0.301 * * [simplify]: Extracting # 2 : cost 0 0.301 * * [simplify]: Extracting # 3 : cost 0 0.301 * * [simplify]: Extracting # 4 : cost 0 0.301 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.303 * * [simplify]: Extracting # 0 : cost 0 0.303 * * [simplify]: Extracting # 1 : cost 0 0.303 * * [simplify]: Extracting # 2 : cost 0 0.303 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.307 * * [simplify]: Extracting # 0 : cost 0 0.308 * * [simplify]: Extracting # 1 : cost 0 0.308 * * [simplify]: Extracting # 2 : cost 0 0.308 * * [simplify]: iteration 2 : 14 enodes (cost 7 ) 0.313 * * [simplify]: Extracting # 0 : cost 0 0.313 * * [simplify]: iteration 3 : 16 enodes (cost 7 ) 0.318 * * [simplify]: Extracting # 0 : cost 0 0.319 * * [simplify]: iteration done: 16 enodes (cost 7 ) 0.319 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (sin x)) 0.320 * * [progress]: iteration 1 / 4 0.320 * * * [progress]: picking best candidate 0.326 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.352 * * * [progress]: generating rewritten candidates 0.352 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.368 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.460 * * * [progress]: generating series expansions 0.460 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.460 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 0.460 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [backup-simplify]: Simplify 1.0 into 1.0 0.460 * [taylor]: Taking taylor expansion of (cos x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [backup-simplify]: Simplify 1.0 into 1.0 0.461 * [taylor]: Taking taylor expansion of (cos x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (- 1) into -1 0.462 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ 0) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.465 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.465 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.465 * [backup-simplify]: Simplify 1/2 into 1/2 0.466 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.470 * [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 0.470 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.471 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.471 * [backup-simplify]: Simplify -1/24 into -1/24 0.473 * [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 0.474 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.479 * [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 0.480 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.480 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.480 * [backup-simplify]: Simplify 1/720 into 1/720 0.481 * [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))) 0.481 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.481 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.481 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [backup-simplify]: Simplify 1.0 into 1.0 0.482 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [backup-simplify]: Simplify 1.0 into 1.0 0.482 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.483 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.483 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.483 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 0.488 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 0.488 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.488 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [backup-simplify]: Simplify 1.0 into 1.0 0.488 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.489 * [taylor]: Taking taylor expansion of -1 in x 0.489 * [backup-simplify]: Simplify -1 into -1 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (/ -1 1) into -1 0.489 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.489 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [backup-simplify]: Simplify 1.0 into 1.0 0.489 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.489 * [taylor]: Taking taylor expansion of -1 in x 0.489 * [backup-simplify]: Simplify -1 into -1 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ -1 1) into -1 0.490 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.490 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.490 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.490 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (- 0) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 0.495 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.496 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 0.496 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 0.496 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [backup-simplify]: Simplify 1.0 into 1.0 0.496 * [taylor]: Taking taylor expansion of (cos x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [taylor]: Taking taylor expansion of (sin x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (- 1) into -1 0.497 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.497 * [backup-simplify]: Simplify (+ 0) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.499 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.500 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.500 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.501 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 0.501 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.501 * [taylor]: Taking taylor expansion of (cos x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [taylor]: Taking taylor expansion of (sin x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (- 1) into -1 0.502 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.502 * [backup-simplify]: Simplify (+ 0) into 0 0.503 * [backup-simplify]: Simplify (- 0) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.504 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.505 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.505 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.506 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.506 * [backup-simplify]: Simplify 1/2 into 1/2 0.507 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.512 * [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 0.513 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.513 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.515 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.516 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 0.516 * [backup-simplify]: Simplify 1/24 into 1/24 0.518 * [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 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.528 * [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 0.528 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.529 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.532 * [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 0.535 * [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 0.535 * [backup-simplify]: Simplify 1/240 into 1/240 0.536 * [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))) 0.536 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.536 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 0.536 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.536 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [backup-simplify]: Simplify 1.0 into 1.0 0.536 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.537 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.538 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.538 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.538 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.538 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.538 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 0.538 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [backup-simplify]: Simplify 1.0 into 1.0 0.538 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.539 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 0.539 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 0.540 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 0.540 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.540 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 0.540 * [backup-simplify]: Simplify (- 0) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (- 0) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [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 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [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 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [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 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [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 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [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 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 0.549 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.549 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [backup-simplify]: Simplify 1.0 into 1.0 0.550 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [backup-simplify]: Simplify -1 into -1 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (/ -1 1) into -1 0.550 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.550 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [backup-simplify]: Simplify -1 into -1 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (/ -1 1) into -1 0.551 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.551 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.551 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.551 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.551 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 0.551 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.552 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * [backup-simplify]: Simplify 1.0 into 1.0 0.552 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.552 * [taylor]: Taking taylor expansion of -1 in x 0.552 * [backup-simplify]: Simplify -1 into -1 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (/ -1 1) into -1 0.552 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 0.552 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.552 * [taylor]: Taking taylor expansion of -1 in x 0.552 * [backup-simplify]: Simplify -1 into -1 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (/ -1 1) into -1 0.553 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 0.553 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 0.553 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 0.553 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.554 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 0.554 * [backup-simplify]: Simplify (- 0) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [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 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [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 0.557 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [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 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [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 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (- 0) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [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 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 0.562 * * * [progress]: simplifying candidates 0.565 * [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)) 0.568 * * [simplify]: Extracting # 0 : cost 0 0.568 * * [simplify]: Extracting # 1 : cost 0 0.569 * * [simplify]: Extracting # 2 : cost 0 0.569 * * [simplify]: Extracting # 3 : cost 0 0.569 * * [simplify]: Extracting # 4 : cost 0 0.570 * * [simplify]: Extracting # 5 : cost 0 0.570 * * [simplify]: Extracting # 6 : cost 0 0.570 * * [simplify]: Extracting # 7 : cost 0 0.571 * * [simplify]: Extracting # 8 : cost 0 0.571 * * [simplify]: Extracting # 9 : cost 0 0.571 * * [simplify]: iteration 0 : 134 enodes (cost 964 ) 0.640 * * [simplify]: Extracting # 0 : cost 0 0.641 * * [simplify]: Extracting # 1 : cost 0 0.642 * * [simplify]: Extracting # 2 : cost 0 0.642 * * [simplify]: Extracting # 3 : cost 0 0.643 * * [simplify]: Extracting # 4 : cost 0 0.644 * * [simplify]: iteration 1 : 309 enodes (cost 834 ) 0.872 * * [simplify]: Extracting # 0 : cost 0 0.875 * * [simplify]: Extracting # 1 : cost 0 0.886 * * [simplify]: Extracting # 2 : cost 0 0.889 * * [simplify]: Extracting # 3 : cost 0 0.891 * * [simplify]: Extracting # 4 : cost 0 0.894 * * [simplify]: Extracting # 5 : cost 0 0.898 * * [simplify]: iteration 2 : 1215 enodes (cost 733 ) 1.999 * * [simplify]: Extracting # 0 : cost 0 2.023 * * [simplify]: Extracting # 1 : cost 0 2.037 * * [simplify]: Extracting # 2 : cost 0 2.054 * * [simplify]: Extracting # 3 : cost 0 2.072 * * [simplify]: Extracting # 4 : cost 0 2.082 * * [simplify]: iteration done: 5001 enodes (cost 692 ) 2.083 * [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)) 2.084 * * * [progress]: adding candidates to table 2.458 * * [progress]: iteration 2 / 4 2.458 * * * [progress]: picking best candidate 2.526 * * * * [pick]: Picked # 2.526 * * * [progress]: localizing error 2.564 * * * [progress]: generating rewritten candidates 2.564 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.580 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.593 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.607 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.662 * * * [progress]: generating series expansions 2.662 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.662 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 2.662 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.662 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.662 * [taylor]: Taking taylor expansion of 1.0 in x 2.662 * [backup-simplify]: Simplify 1.0 into 1.0 2.662 * [taylor]: Taking taylor expansion of (cos x) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.662 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.663 * [taylor]: Taking taylor expansion of 1.0 in x 2.663 * [backup-simplify]: Simplify 1.0 into 1.0 2.663 * [taylor]: Taking taylor expansion of (cos x) in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.664 * [backup-simplify]: Simplify (- 1) into -1 2.664 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify (+ 0) into 0 2.665 * [backup-simplify]: Simplify (- 0) into 0 2.665 * [backup-simplify]: Simplify (+ 0 0) into 0 2.666 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.667 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.667 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.668 * [backup-simplify]: Simplify 1/2 into 1/2 2.669 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.669 * [backup-simplify]: Simplify (- 0) into 0 2.670 * [backup-simplify]: Simplify (+ 0 0) into 0 2.670 * [backup-simplify]: Simplify 0 into 0 2.673 * [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 2.673 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.674 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.674 * [backup-simplify]: Simplify -1/24 into -1/24 2.677 * [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 2.677 * [backup-simplify]: Simplify (- 0) into 0 2.678 * [backup-simplify]: Simplify (+ 0 0) into 0 2.678 * [backup-simplify]: Simplify 0 into 0 2.684 * [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 2.685 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.685 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.685 * [backup-simplify]: Simplify 1/720 into 1/720 2.686 * [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))) 2.686 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.686 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.686 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.687 * [taylor]: Taking taylor expansion of 1.0 in x 2.687 * [backup-simplify]: Simplify 1.0 into 1.0 2.687 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.687 * [taylor]: Taking taylor expansion of x in x 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 1 into 1 2.687 * [backup-simplify]: Simplify (/ 1 1) into 1 2.687 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.688 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.688 * [backup-simplify]: Simplify 1.0 into 1.0 2.688 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (/ 1 1) into 1 2.688 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.689 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.689 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.689 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.690 * [backup-simplify]: Simplify (- 0) into 0 2.690 * [backup-simplify]: Simplify (+ 0 0) into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify (- 0) into 0 2.691 * [backup-simplify]: Simplify (+ 0 0) into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify (- 0) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.692 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify (- 0) into 0 2.693 * [backup-simplify]: Simplify (+ 0 0) into 0 2.693 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify (- 0) into 0 2.694 * [backup-simplify]: Simplify (+ 0 0) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify (- 0) into 0 2.695 * [backup-simplify]: Simplify (+ 0 0) into 0 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 2.695 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 2.695 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.695 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.695 * [taylor]: Taking taylor expansion of 1.0 in x 2.695 * [backup-simplify]: Simplify 1.0 into 1.0 2.695 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.695 * [taylor]: Taking taylor expansion of -1 in x 2.695 * [backup-simplify]: Simplify -1 into -1 2.695 * [taylor]: Taking taylor expansion of x in x 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify (/ -1 1) into -1 2.696 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.696 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.696 * [taylor]: Taking taylor expansion of 1.0 in x 2.696 * [backup-simplify]: Simplify 1.0 into 1.0 2.696 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.696 * [taylor]: Taking taylor expansion of -1 in x 2.696 * [backup-simplify]: Simplify -1 into -1 2.696 * [taylor]: Taking taylor expansion of x in x 2.696 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify (/ -1 1) into -1 2.697 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.697 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.697 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.698 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.698 * [backup-simplify]: Simplify (- 0) into 0 2.698 * [backup-simplify]: Simplify (+ 0 0) into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify (- 0) into 0 2.705 * [backup-simplify]: Simplify (+ 0 0) into 0 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify (- 0) into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.706 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (- 0) into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (- 0) into 0 2.708 * [backup-simplify]: Simplify (+ 0 0) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify (- 0) into 0 2.709 * [backup-simplify]: Simplify (+ 0 0) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 2.709 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.709 * [backup-simplify]: Simplify (log (- 1.0 (cos x))) into (log (- 1.0 (cos x))) 2.709 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 2.709 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.709 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.709 * [taylor]: Taking taylor expansion of 1.0 in x 2.709 * [backup-simplify]: Simplify 1.0 into 1.0 2.709 * [taylor]: Taking taylor expansion of (cos x) in x 2.710 * [taylor]: Taking taylor expansion of x in x 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (- 1) into -1 2.710 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.711 * [backup-simplify]: Simplify (+ 0) into 0 2.711 * [backup-simplify]: Simplify (- 0) into 0 2.712 * [backup-simplify]: Simplify (+ 0 0) into 0 2.713 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.713 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.713 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.714 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 2.714 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 2.714 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.714 * [taylor]: Taking taylor expansion of 1.0 in x 2.714 * [backup-simplify]: Simplify 1.0 into 1.0 2.714 * [taylor]: Taking taylor expansion of (cos x) in x 2.714 * [taylor]: Taking taylor expansion of x in x 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (- 1) into -1 2.715 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.715 * [backup-simplify]: Simplify (+ 0) into 0 2.716 * [backup-simplify]: Simplify (- 0) into 0 2.716 * [backup-simplify]: Simplify (+ 0 0) into 0 2.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.718 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.718 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.718 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 2.720 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 2.720 * [backup-simplify]: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 2.722 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.722 * [backup-simplify]: Simplify (- 0) into 0 2.723 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 2.729 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.729 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.733 * [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 2.733 * [backup-simplify]: Simplify -1/12 into -1/12 2.736 * [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 2.737 * [backup-simplify]: Simplify (- 0) into 0 2.737 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [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 2.744 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 2.750 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.751 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.765 * [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 2.765 * [backup-simplify]: Simplify -1/1440 into -1/1440 2.766 * [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)))) 2.766 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.766 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 2.766 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.767 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.767 * [taylor]: Taking taylor expansion of 1.0 in x 2.767 * [backup-simplify]: Simplify 1.0 into 1.0 2.767 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.767 * [taylor]: Taking taylor expansion of x in x 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (/ 1 1) into 1 2.767 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.768 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.768 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.768 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.768 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 2.768 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.768 * [taylor]: Taking taylor expansion of 1.0 in x 2.768 * [backup-simplify]: Simplify 1.0 into 1.0 2.768 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (/ 1 1) into 1 2.769 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.769 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.769 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.769 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.769 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 2.770 * [backup-simplify]: Simplify (- 0) into 0 2.770 * [backup-simplify]: Simplify (+ 0 0) into 0 2.771 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 1) into 0 2.771 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (- 0) into 0 2.772 * [backup-simplify]: Simplify (+ 0 0) into 0 2.774 * [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 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (- 0) into 0 2.775 * [backup-simplify]: Simplify (+ 0 0) into 0 2.778 * [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 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify (- 0) into 0 2.779 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [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 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (- 0) into 0 2.785 * [backup-simplify]: Simplify (+ 0 0) into 0 2.793 * [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 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (- 0) into 0 2.794 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [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 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (/ 1 x))))) into (log (- 1.0 (cos x))) 2.809 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (- x))))) into (log (- 1.0 (cos (/ -1 x)))) 2.809 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 2.809 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.809 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.809 * [taylor]: Taking taylor expansion of 1.0 in x 2.809 * [backup-simplify]: Simplify 1.0 into 1.0 2.809 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.809 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.809 * [taylor]: Taking taylor expansion of -1 in x 2.809 * [backup-simplify]: Simplify -1 into -1 2.809 * [taylor]: Taking taylor expansion of x in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (/ -1 1) into -1 2.810 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.810 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.810 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.810 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 2.810 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 2.810 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.810 * [taylor]: Taking taylor expansion of 1.0 in x 2.811 * [backup-simplify]: Simplify 1.0 into 1.0 2.811 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.811 * [taylor]: Taking taylor expansion of -1 in x 2.811 * [backup-simplify]: Simplify -1 into -1 2.811 * [taylor]: Taking taylor expansion of x in x 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (/ -1 1) into -1 2.811 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.811 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.811 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.812 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 2.812 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 2.812 * [backup-simplify]: Simplify (- 0) into 0 2.813 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 1) into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (- 0) into 0 2.814 * [backup-simplify]: Simplify (+ 0 0) into 0 2.816 * [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 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (- 0) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [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 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (- 0) into 0 2.822 * [backup-simplify]: Simplify (+ 0 0) into 0 2.827 * [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 2.827 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify (- 0) into 0 2.828 * [backup-simplify]: Simplify (+ 0 0) into 0 2.836 * [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 2.836 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (- 0) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.852 * [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 2.852 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (log (- 1.0 (cos x))) 2.853 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.853 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos x)))) into (- 1.0 (cos x)) 2.853 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 2.853 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.853 * [taylor]: Taking taylor expansion of 1.0 in x 2.853 * [backup-simplify]: Simplify 1.0 into 1.0 2.853 * [taylor]: Taking taylor expansion of (cos x) in x 2.853 * [taylor]: Taking taylor expansion of x in x 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.853 * [taylor]: Taking taylor expansion of 1.0 in x 2.853 * [backup-simplify]: Simplify 1.0 into 1.0 2.853 * [taylor]: Taking taylor expansion of (cos x) in x 2.853 * [taylor]: Taking taylor expansion of x in x 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.854 * [backup-simplify]: Simplify (- 1) into -1 2.854 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (+ 0) into 0 2.855 * [backup-simplify]: Simplify (- 0) into 0 2.856 * [backup-simplify]: Simplify (+ 0 0) into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.857 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.858 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.858 * [backup-simplify]: Simplify 1/2 into 1/2 2.859 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.859 * [backup-simplify]: Simplify (- 0) into 0 2.860 * [backup-simplify]: Simplify (+ 0 0) into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.863 * [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 2.863 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.864 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.864 * [backup-simplify]: Simplify -1/24 into -1/24 2.866 * [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 2.867 * [backup-simplify]: Simplify (- 0) into 0 2.868 * [backup-simplify]: Simplify (+ 0 0) into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.877 * [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 2.878 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.878 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.879 * [backup-simplify]: Simplify 1/720 into 1/720 2.879 * [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))) 2.880 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 2.880 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 2.880 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.880 * [taylor]: Taking taylor expansion of 1.0 in x 2.880 * [backup-simplify]: Simplify 1.0 into 1.0 2.880 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.880 * [taylor]: Taking taylor expansion of x in x 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 1 into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.881 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.881 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.881 * [taylor]: Taking taylor expansion of 1.0 in x 2.881 * [backup-simplify]: Simplify 1.0 into 1.0 2.881 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.881 * [taylor]: Taking taylor expansion of x in x 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.881 * [backup-simplify]: Simplify (/ 1 1) into 1 2.881 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.882 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.882 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.882 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 2.882 * [backup-simplify]: Simplify (- 0) into 0 2.883 * [backup-simplify]: Simplify (+ 0 0) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (- 0) into 0 2.884 * [backup-simplify]: Simplify (+ 0 0) into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify (- 0) into 0 2.884 * [backup-simplify]: Simplify (+ 0 0) into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (- 0) into 0 2.885 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify (- 0) into 0 2.886 * [backup-simplify]: Simplify (+ 0 0) into 0 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify (- 0) into 0 2.887 * [backup-simplify]: Simplify (+ 0 0) into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 2.887 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 (- x)))))) into (- 1.0 (cos (/ -1 x))) 2.887 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 2.887 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.887 * [taylor]: Taking taylor expansion of 1.0 in x 2.887 * [backup-simplify]: Simplify 1.0 into 1.0 2.888 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.888 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.888 * [taylor]: Taking taylor expansion of -1 in x 2.888 * [backup-simplify]: Simplify -1 into -1 2.888 * [taylor]: Taking taylor expansion of x in x 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (/ -1 1) into -1 2.888 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.888 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.888 * [taylor]: Taking taylor expansion of 1.0 in x 2.888 * [backup-simplify]: Simplify 1.0 into 1.0 2.888 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.888 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.889 * [taylor]: Taking taylor expansion of -1 in x 2.889 * [backup-simplify]: Simplify -1 into -1 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (/ -1 1) into -1 2.889 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.889 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.890 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.890 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 2.890 * [backup-simplify]: Simplify (- 0) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (- 0) into 0 2.891 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (- 0) into 0 2.892 * [backup-simplify]: Simplify (+ 0 0) into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (- 0) into 0 2.893 * [backup-simplify]: Simplify (+ 0 0) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (- 0) into 0 2.894 * [backup-simplify]: Simplify (+ 0 0) into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (- 0) into 0 2.894 * [backup-simplify]: Simplify (+ 0 0) into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 2.895 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.895 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos x)))) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 2.895 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 2.895 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.895 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.895 * [taylor]: Taking taylor expansion of 1.0 in x 2.895 * [backup-simplify]: Simplify 1.0 into 1.0 2.895 * [taylor]: Taking taylor expansion of (cos x) in x 2.895 * [taylor]: Taking taylor expansion of x in x 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [taylor]: Taking taylor expansion of (sin x) in x 2.896 * [taylor]: Taking taylor expansion of x in x 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (- 1) into -1 2.897 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.897 * [backup-simplify]: Simplify (+ 0) into 0 2.897 * [backup-simplify]: Simplify (- 0) into 0 2.898 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.899 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.899 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.900 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.901 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.901 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 2.901 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 2.901 * [taylor]: Taking taylor expansion of 1.0 in x 2.901 * [backup-simplify]: Simplify 1.0 into 1.0 2.901 * [taylor]: Taking taylor expansion of (cos x) in x 2.901 * [taylor]: Taking taylor expansion of x in x 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [taylor]: Taking taylor expansion of (sin x) in x 2.901 * [taylor]: Taking taylor expansion of x in x 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (- 1) into -1 2.902 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 2.902 * [backup-simplify]: Simplify (+ 0) into 0 2.903 * [backup-simplify]: Simplify (- 0) into 0 2.903 * [backup-simplify]: Simplify (+ 0 0) into 0 2.904 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.904 * [backup-simplify]: Simplify (- -1/2) into 1/2 2.905 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.906 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.906 * [backup-simplify]: Simplify 1/2 into 1/2 2.907 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.908 * [backup-simplify]: Simplify (- 0) into 0 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.909 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify 0 into 0 2.913 * [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 2.913 * [backup-simplify]: Simplify (- 1/24) into -1/24 2.914 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 2.915 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.917 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 2.917 * [backup-simplify]: Simplify 1/24 into 1/24 2.919 * [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 2.920 * [backup-simplify]: Simplify (- 0) into 0 2.920 * [backup-simplify]: Simplify (+ 0 0) into 0 2.922 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify 0 into 0 2.929 * [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 2.930 * [backup-simplify]: Simplify (- -1/720) into 1/720 2.930 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 2.934 * [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 2.936 * [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 2.936 * [backup-simplify]: Simplify 1/240 into 1/240 2.937 * [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))) 2.937 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos (/ 1 x))))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.937 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 2.937 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.937 * [taylor]: Taking taylor expansion of 1.0 in x 2.938 * [backup-simplify]: Simplify 1.0 into 1.0 2.938 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.938 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.939 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.939 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.939 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.939 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.939 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 2.939 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 2.940 * [taylor]: Taking taylor expansion of 1.0 in x 2.940 * [backup-simplify]: Simplify 1.0 into 1.0 2.940 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 2.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.940 * [taylor]: Taking taylor expansion of x in x 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (/ 1 1) into 1 2.940 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 2.940 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 2.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.940 * [taylor]: Taking taylor expansion of x in x 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.941 * [backup-simplify]: Simplify (/ 1 1) into 1 2.941 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 2.941 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 2.941 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 2.941 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.942 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 2.942 * [backup-simplify]: Simplify (- 0) into 0 2.942 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (- 0) into 0 2.944 * [backup-simplify]: Simplify (+ 0 0) into 0 2.944 * [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 2.944 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify (+ 0 0) into 0 2.946 * [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 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (- 0) into 0 2.947 * [backup-simplify]: Simplify (+ 0 0) into 0 2.947 * [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 2.947 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (- 0) into 0 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [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 2.949 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify (- 0) into 0 2.950 * [backup-simplify]: Simplify (+ 0 0) into 0 2.951 * [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 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 2.952 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos (/ 1 (- x)))))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.952 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 2.952 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.952 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.952 * [taylor]: Taking taylor expansion of 1.0 in x 2.952 * [backup-simplify]: Simplify 1.0 into 1.0 2.952 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.952 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.952 * [taylor]: Taking taylor expansion of -1 in x 2.952 * [backup-simplify]: Simplify -1 into -1 2.952 * [taylor]: Taking taylor expansion of x in x 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.953 * [backup-simplify]: Simplify (/ -1 1) into -1 2.953 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.953 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.953 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.953 * [taylor]: Taking taylor expansion of -1 in x 2.953 * [backup-simplify]: Simplify -1 into -1 2.953 * [taylor]: Taking taylor expansion of x in x 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 1 into 1 2.953 * [backup-simplify]: Simplify (/ -1 1) into -1 2.954 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.954 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.954 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.954 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.954 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 2.954 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 2.954 * [taylor]: Taking taylor expansion of 1.0 in x 2.954 * [backup-simplify]: Simplify 1.0 into 1.0 2.954 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 2.954 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.954 * [taylor]: Taking taylor expansion of -1 in x 2.954 * [backup-simplify]: Simplify -1 into -1 2.954 * [taylor]: Taking taylor expansion of x in x 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.955 * [backup-simplify]: Simplify (/ -1 1) into -1 2.955 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 2.955 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 2.955 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.955 * [taylor]: Taking taylor expansion of -1 in x 2.955 * [backup-simplify]: Simplify -1 into -1 2.955 * [taylor]: Taking taylor expansion of x in x 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [backup-simplify]: Simplify (/ -1 1) into -1 2.956 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 2.956 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 2.956 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 2.956 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.956 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 2.957 * [backup-simplify]: Simplify (- 0) into 0 2.957 * [backup-simplify]: Simplify (+ 0 0) into 0 2.958 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify (- 0) into 0 2.958 * [backup-simplify]: Simplify (+ 0 0) into 0 2.959 * [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 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (- 0) into 0 2.960 * [backup-simplify]: Simplify (+ 0 0) into 0 2.960 * [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 2.960 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify (- 0) into 0 2.961 * [backup-simplify]: Simplify (+ 0 0) into 0 2.962 * [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 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify (- 0) into 0 2.963 * [backup-simplify]: Simplify (+ 0 0) into 0 2.964 * [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 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify (- 0) into 0 2.964 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [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 2.965 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 2.966 * * * [progress]: simplifying candidates 2.969 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (exp (log (- 1.0 (cos x))))) (log1p (exp (log (- 1.0 (cos x))))) (exp 1) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (expm1 (/ (exp (log (- 1.0 (cos x)))) (sin x))) (log1p (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (log (- 1.0 (cos x))) (log (sin x))) (log (/ (exp (log (- 1.0 (cos x)))) (sin x))) (exp (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* (sin x) (sin x)) (sin x))) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (* (* (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (sin x))) (- (exp (log (- 1.0 (cos x))))) (- (sin x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (sqrt (sin x))) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) 1) (/ (exp (log (cbrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log (sqrt (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (cbrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sqrt (sin x))) (/ (exp (log (sqrt (- 1.0 (cos x))))) 1) (/ (exp (log (sqrt (- 1.0 (cos x))))) (sin x)) (/ (exp (log 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ (exp (log 1)) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log 1)) 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ 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(cbrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ (sqrt (exp (log (- 1.0 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (cbrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (sin x))) (/ (sqrt (exp (log (- 1.0 (cos x))))) 1) (/ (sqrt (exp (log (- 1.0 (cos x))))) (sin x)) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (cbrt (sin x))) (/ 1 (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ 1 1) (/ (exp (log (- 1.0 (cos x)))) (sin x)) (/ 1 (sin x)) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (exp (log (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (exp (log (- 1.0 (cos x)))) (sqrt (sin x))) (/ (exp (log (- 1.0 (cos x)))) 1) (/ (sin x) (exp (log (cbrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (sqrt (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (/ (sin x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (sqrt (exp (log (- 1.0 (cos x)))))) (/ (sin x) (exp (log (- 1.0 (cos x))))) (* (sin x) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* (sin x) (exp (log (+ 1.0 (cos x))))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 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)) 2.977 * * [simplify]: Extracting # 0 : cost 0 2.977 * * [simplify]: Extracting # 1 : cost 0 2.978 * * [simplify]: Extracting # 2 : cost 0 2.979 * * [simplify]: Extracting # 3 : cost 0 2.979 * * [simplify]: Extracting # 4 : cost 0 2.980 * * [simplify]: Extracting # 5 : cost 0 2.981 * * [simplify]: Extracting # 6 : cost 0 2.981 * * [simplify]: iteration 0 : 200 enodes (cost 1750 ) 3.072 * * [simplify]: Extracting # 0 : cost 0 3.073 * * [simplify]: Extracting # 1 : cost 0 3.074 * * [simplify]: Extracting # 2 : cost 0 3.075 * * [simplify]: Extracting # 3 : cost 0 3.075 * * [simplify]: Extracting # 4 : cost 0 3.076 * * [simplify]: iteration 1 : 374 enodes (cost 1389 ) 3.325 * * [simplify]: Extracting # 0 : cost 0 3.327 * * [simplify]: Extracting # 1 : cost 0 3.330 * * [simplify]: Extracting # 2 : cost 0 3.338 * * [simplify]: Extracting # 3 : cost 0 3.341 * * [simplify]: Extracting # 4 : cost 0 3.344 * * [simplify]: iteration 2 : 1294 enodes (cost 1247 ) 4.365 * * [simplify]: Extracting # 0 : cost 0 4.389 * * [simplify]: Extracting # 1 : cost 0 4.402 * * [simplify]: Extracting # 2 : cost 0 4.414 * * [simplify]: Extracting # 3 : cost 0 4.425 * * [simplify]: Extracting # 4 : cost 0 4.438 * * [simplify]: iteration done: 5001 enodes (cost 1206 ) 4.440 * [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)) 4.441 * * * [progress]: adding candidates to table 5.124 * * [progress]: iteration 3 / 4 5.124 * * * [progress]: picking best candidate 5.232 * * * * [pick]: Picked # 5.232 * * * [progress]: localizing error 5.266 * * * [progress]: generating rewritten candidates 5.266 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 5.282 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 5.296 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.310 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.367 * * * [progress]: generating series expansions 5.368 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 5.368 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 5.368 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.368 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.368 * [taylor]: Taking taylor expansion of 1.0 in x 5.368 * [backup-simplify]: Simplify 1.0 into 1.0 5.368 * [taylor]: Taking taylor expansion of (cos x) in x 5.368 * [taylor]: Taking taylor expansion of x in x 5.368 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify 1 into 1 5.368 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.368 * [taylor]: Taking taylor expansion of 1.0 in x 5.368 * [backup-simplify]: Simplify 1.0 into 1.0 5.368 * [taylor]: Taking taylor expansion of (cos x) in x 5.368 * [taylor]: Taking taylor expansion of x in x 5.368 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify 1 into 1 5.369 * [backup-simplify]: Simplify (- 1) into -1 5.369 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.369 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify (+ 0) into 0 5.370 * [backup-simplify]: Simplify (- 0) into 0 5.371 * [backup-simplify]: Simplify (+ 0 0) into 0 5.371 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.372 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.372 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.372 * [backup-simplify]: Simplify 1/2 into 1/2 5.374 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.374 * [backup-simplify]: Simplify (- 0) into 0 5.374 * [backup-simplify]: Simplify (+ 0 0) into 0 5.374 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 5.378 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.378 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.378 * [backup-simplify]: Simplify -1/24 into -1/24 5.380 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.381 * [backup-simplify]: Simplify (- 0) into 0 5.381 * [backup-simplify]: Simplify (+ 0 0) into 0 5.381 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 5.387 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.387 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.387 * [backup-simplify]: Simplify 1/720 into 1/720 5.388 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 5.388 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.388 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.388 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.388 * [taylor]: Taking taylor expansion of 1.0 in x 5.388 * [backup-simplify]: Simplify 1.0 into 1.0 5.388 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.389 * [taylor]: Taking taylor expansion of x in x 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.389 * [backup-simplify]: Simplify (/ 1 1) into 1 5.389 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.389 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.389 * [taylor]: Taking taylor expansion of 1.0 in x 5.389 * [backup-simplify]: Simplify 1.0 into 1.0 5.389 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.389 * [taylor]: Taking taylor expansion of x in x 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.390 * [backup-simplify]: Simplify (/ 1 1) into 1 5.390 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.390 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.390 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.390 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.391 * [backup-simplify]: Simplify (- 0) into 0 5.391 * [backup-simplify]: Simplify (+ 0 0) into 0 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify (- 0) into 0 5.392 * [backup-simplify]: Simplify (+ 0 0) into 0 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify (- 0) into 0 5.393 * [backup-simplify]: Simplify (+ 0 0) into 0 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify (- 0) into 0 5.393 * [backup-simplify]: Simplify (+ 0 0) into 0 5.393 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify (- 0) into 0 5.394 * [backup-simplify]: Simplify (+ 0 0) into 0 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify (- 0) into 0 5.395 * [backup-simplify]: Simplify (+ 0 0) into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 5.395 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 5.395 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.395 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.395 * [taylor]: Taking taylor expansion of 1.0 in x 5.395 * [backup-simplify]: Simplify 1.0 into 1.0 5.395 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.395 * [taylor]: Taking taylor expansion of -1 in x 5.396 * [backup-simplify]: Simplify -1 into -1 5.396 * [taylor]: Taking taylor expansion of x in x 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.396 * [backup-simplify]: Simplify (/ -1 1) into -1 5.396 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.396 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.396 * [taylor]: Taking taylor expansion of 1.0 in x 5.396 * [backup-simplify]: Simplify 1.0 into 1.0 5.396 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.396 * [taylor]: Taking taylor expansion of -1 in x 5.396 * [backup-simplify]: Simplify -1 into -1 5.396 * [taylor]: Taking taylor expansion of x in x 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.397 * [backup-simplify]: Simplify (/ -1 1) into -1 5.397 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.397 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.397 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.397 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.398 * [backup-simplify]: Simplify (- 0) into 0 5.398 * [backup-simplify]: Simplify (+ 0 0) into 0 5.398 * [backup-simplify]: Simplify 0 into 0 5.399 * [backup-simplify]: Simplify (- 0) into 0 5.399 * [backup-simplify]: Simplify (+ 0 0) into 0 5.399 * [backup-simplify]: Simplify 0 into 0 5.399 * [backup-simplify]: Simplify (- 0) into 0 5.400 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify (- 0) into 0 5.401 * [backup-simplify]: Simplify (+ 0 0) into 0 5.401 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify (- 0) into 0 5.401 * [backup-simplify]: Simplify (+ 0 0) into 0 5.401 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify (- 0) into 0 5.402 * [backup-simplify]: Simplify (+ 0 0) into 0 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 5.402 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 5.403 * [backup-simplify]: Simplify (log (- 1.0 (cos x))) into (log (- 1.0 (cos x))) 5.403 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 5.403 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 5.403 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.403 * [taylor]: Taking taylor expansion of 1.0 in x 5.403 * [backup-simplify]: Simplify 1.0 into 1.0 5.403 * [taylor]: Taking taylor expansion of (cos x) in x 5.403 * [taylor]: Taking taylor expansion of x in x 5.403 * [backup-simplify]: Simplify 0 into 0 5.403 * [backup-simplify]: Simplify 1 into 1 5.403 * [backup-simplify]: Simplify (- 1) into -1 5.404 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.404 * [backup-simplify]: Simplify (+ 0) into 0 5.404 * [backup-simplify]: Simplify (- 0) into 0 5.405 * [backup-simplify]: Simplify (+ 0 0) into 0 5.406 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.406 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.407 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.407 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 5.407 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 5.407 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.407 * [taylor]: Taking taylor expansion of 1.0 in x 5.407 * [backup-simplify]: Simplify 1.0 into 1.0 5.407 * [taylor]: Taking taylor expansion of (cos x) in x 5.407 * [taylor]: Taking taylor expansion of x in x 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.408 * [backup-simplify]: Simplify (- 1) into -1 5.408 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.408 * [backup-simplify]: Simplify (+ 0) into 0 5.409 * [backup-simplify]: Simplify (- 0) into 0 5.409 * [backup-simplify]: Simplify (+ 0 0) into 0 5.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.411 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.411 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.412 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 5.413 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 5.413 * [backup-simplify]: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (* 2 (log x)) (log 1/2)) 5.414 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.415 * [backup-simplify]: Simplify (- 0) into 0 5.415 * [backup-simplify]: Simplify (+ 0 0) into 0 5.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 5.417 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 5.420 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.420 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.424 * [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 5.424 * [backup-simplify]: Simplify -1/12 into -1/12 5.426 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.426 * [backup-simplify]: Simplify (- 0) into 0 5.427 * [backup-simplify]: Simplify (+ 0 0) into 0 5.433 * [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 5.433 * [backup-simplify]: Simplify 0 into 0 5.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 5.439 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.440 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.454 * [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 5.454 * [backup-simplify]: Simplify -1/1440 into -1/1440 5.455 * [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)))) 5.456 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 5.456 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 5.456 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 5.456 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.456 * [taylor]: Taking taylor expansion of 1.0 in x 5.456 * [backup-simplify]: Simplify 1.0 into 1.0 5.456 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.456 * [taylor]: Taking taylor expansion of x in x 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.456 * [backup-simplify]: Simplify (/ 1 1) into 1 5.457 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.457 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.457 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.457 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 5.457 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 5.457 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.457 * [taylor]: Taking taylor expansion of 1.0 in x 5.457 * [backup-simplify]: Simplify 1.0 into 1.0 5.457 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.457 * [taylor]: Taking taylor expansion of x in x 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify 1 into 1 5.458 * [backup-simplify]: Simplify (/ 1 1) into 1 5.458 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.458 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.458 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.458 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 5.458 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 x)))) into (log (- 1.0 (cos (/ 1 x)))) 5.459 * [backup-simplify]: Simplify (- 0) into 0 5.459 * [backup-simplify]: Simplify (+ 0 0) into 0 5.460 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ 1 x))) 1)))) 1) into 0 5.461 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify (- 0) into 0 5.461 * [backup-simplify]: Simplify (+ 0 0) into 0 5.464 * [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 5.464 * [backup-simplify]: Simplify 0 into 0 5.464 * [backup-simplify]: Simplify (- 0) into 0 5.465 * [backup-simplify]: Simplify (+ 0 0) into 0 5.469 * [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 5.469 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify (- 0) into 0 5.470 * [backup-simplify]: Simplify (+ 0 0) into 0 5.476 * [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 5.476 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify (- 0) into 0 5.477 * [backup-simplify]: Simplify (+ 0 0) into 0 5.485 * [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 5.485 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify (- 0) into 0 5.486 * [backup-simplify]: Simplify (+ 0 0) into 0 5.500 * [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 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (/ 1 x))))) into (log (- 1.0 (cos x))) 5.501 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ 1 (- x))))) into (log (- 1.0 (cos (/ -1 x)))) 5.501 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 5.501 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 5.501 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.501 * [taylor]: Taking taylor expansion of 1.0 in x 5.501 * [backup-simplify]: Simplify 1.0 into 1.0 5.501 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.501 * [taylor]: Taking taylor expansion of -1 in x 5.501 * [backup-simplify]: Simplify -1 into -1 5.501 * [taylor]: Taking taylor expansion of x in x 5.501 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify 1 into 1 5.502 * [backup-simplify]: Simplify (/ -1 1) into -1 5.502 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.502 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.502 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.502 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 5.502 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 5.502 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.502 * [taylor]: Taking taylor expansion of 1.0 in x 5.502 * [backup-simplify]: Simplify 1.0 into 1.0 5.502 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.502 * [taylor]: Taking taylor expansion of -1 in x 5.502 * [backup-simplify]: Simplify -1 into -1 5.502 * [taylor]: Taking taylor expansion of x in x 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify 1 into 1 5.503 * [backup-simplify]: Simplify (/ -1 1) into -1 5.503 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.503 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.503 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.503 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 5.504 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 x)))) into (log (- 1.0 (cos (/ -1 x)))) 5.504 * [backup-simplify]: Simplify (- 0) into 0 5.505 * [backup-simplify]: Simplify (+ 0 0) into 0 5.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0 (cos (/ -1 x))) 1)))) 1) into 0 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [backup-simplify]: Simplify (- 0) into 0 5.507 * [backup-simplify]: Simplify (+ 0 0) into 0 5.509 * [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 5.509 * [backup-simplify]: Simplify 0 into 0 5.509 * [backup-simplify]: Simplify (- 0) into 0 5.510 * [backup-simplify]: Simplify (+ 0 0) into 0 5.513 * [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 5.513 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify (- 0) into 0 5.514 * [backup-simplify]: Simplify (+ 0 0) into 0 5.520 * [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 5.520 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify (- 0) into 0 5.530 * [backup-simplify]: Simplify (+ 0 0) into 0 5.540 * [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 5.540 * [backup-simplify]: Simplify 0 into 0 5.541 * [backup-simplify]: Simplify (- 0) into 0 5.541 * [backup-simplify]: Simplify (+ 0 0) into 0 5.555 * [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 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify (log (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (log (- 1.0 (cos x))) 5.555 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.556 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos x)))) into (- 1.0 (cos x)) 5.556 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 5.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.556 * [taylor]: Taking taylor expansion of 1.0 in x 5.556 * [backup-simplify]: Simplify 1.0 into 1.0 5.556 * [taylor]: Taking taylor expansion of (cos x) in x 5.556 * [taylor]: Taking taylor expansion of x in x 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 1 into 1 5.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.556 * [taylor]: Taking taylor expansion of 1.0 in x 5.556 * [backup-simplify]: Simplify 1.0 into 1.0 5.556 * [taylor]: Taking taylor expansion of (cos x) in x 5.556 * [taylor]: Taking taylor expansion of x in x 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 1 into 1 5.557 * [backup-simplify]: Simplify (- 1) into -1 5.557 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify (+ 0) into 0 5.558 * [backup-simplify]: Simplify (- 0) into 0 5.558 * [backup-simplify]: Simplify (+ 0 0) into 0 5.558 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.560 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.560 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.560 * [backup-simplify]: Simplify 1/2 into 1/2 5.561 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.562 * [backup-simplify]: Simplify (- 0) into 0 5.562 * [backup-simplify]: Simplify (+ 0 0) into 0 5.562 * [backup-simplify]: Simplify 0 into 0 5.565 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 5.566 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.566 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.566 * [backup-simplify]: Simplify -1/24 into -1/24 5.569 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.569 * [backup-simplify]: Simplify (- 0) into 0 5.570 * [backup-simplify]: Simplify (+ 0 0) into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 5.576 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.576 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.576 * [backup-simplify]: Simplify 1/720 into 1/720 5.577 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 5.577 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 5.577 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 5.577 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.577 * [taylor]: Taking taylor expansion of 1.0 in x 5.577 * [backup-simplify]: Simplify 1.0 into 1.0 5.577 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.577 * [taylor]: Taking taylor expansion of x in x 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [backup-simplify]: Simplify 1 into 1 5.578 * [backup-simplify]: Simplify (/ 1 1) into 1 5.578 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.578 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.578 * [taylor]: Taking taylor expansion of 1.0 in x 5.578 * [backup-simplify]: Simplify 1.0 into 1.0 5.578 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.578 * [taylor]: Taking taylor expansion of x in x 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 1 into 1 5.578 * [backup-simplify]: Simplify (/ 1 1) into 1 5.579 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.579 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.579 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.579 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 5.579 * [backup-simplify]: Simplify (- 0) into 0 5.580 * [backup-simplify]: Simplify (+ 0 0) into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (- 0) into 0 5.581 * [backup-simplify]: Simplify (+ 0 0) into 0 5.581 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify (- 0) into 0 5.581 * [backup-simplify]: Simplify (+ 0 0) into 0 5.581 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify (- 0) into 0 5.582 * [backup-simplify]: Simplify (+ 0 0) into 0 5.582 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify (- 0) into 0 5.583 * [backup-simplify]: Simplify (+ 0 0) into 0 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify (- 0) into 0 5.584 * [backup-simplify]: Simplify (+ 0 0) into 0 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 5.584 * [backup-simplify]: Simplify (exp (log (- 1.0 (cos (/ 1 (- x)))))) into (- 1.0 (cos (/ -1 x))) 5.584 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 5.584 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.584 * [taylor]: Taking taylor expansion of 1.0 in x 5.584 * [backup-simplify]: Simplify 1.0 into 1.0 5.584 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.584 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.584 * [taylor]: Taking taylor expansion of -1 in x 5.584 * [backup-simplify]: Simplify -1 into -1 5.584 * [taylor]: Taking taylor expansion of x in x 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (/ -1 1) into -1 5.585 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.585 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.585 * [taylor]: Taking taylor expansion of 1.0 in x 5.585 * [backup-simplify]: Simplify 1.0 into 1.0 5.585 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.585 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.585 * [taylor]: Taking taylor expansion of -1 in x 5.585 * [backup-simplify]: Simplify -1 into -1 5.585 * [taylor]: Taking taylor expansion of x in x 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.586 * [backup-simplify]: Simplify (/ -1 1) into -1 5.586 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.586 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.586 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.586 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 5.587 * [backup-simplify]: Simplify (- 0) into 0 5.587 * [backup-simplify]: Simplify (+ 0 0) into 0 5.587 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify (- 0) into 0 5.588 * [backup-simplify]: Simplify (+ 0 0) into 0 5.588 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify (- 0) into 0 5.589 * [backup-simplify]: Simplify (+ 0 0) into 0 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify (- 0) into 0 5.590 * [backup-simplify]: Simplify (+ 0 0) into 0 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify (- 0) into 0 5.591 * [backup-simplify]: Simplify (+ 0 0) into 0 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify (- 0) into 0 5.592 * [backup-simplify]: Simplify (+ 0 0) into 0 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 5.592 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.592 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos x)))) (sin x)) into (/ (- 1.0 (cos x)) (sin x)) 5.592 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 5.592 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 5.592 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.592 * [taylor]: Taking taylor expansion of 1.0 in x 5.592 * [backup-simplify]: Simplify 1.0 into 1.0 5.593 * [taylor]: Taking taylor expansion of (cos x) in x 5.593 * [taylor]: Taking taylor expansion of x in x 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 1 into 1 5.593 * [taylor]: Taking taylor expansion of (sin x) in x 5.593 * [taylor]: Taking taylor expansion of x in x 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 1 into 1 5.593 * [backup-simplify]: Simplify (- 1) into -1 5.594 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.594 * [backup-simplify]: Simplify (+ 0) into 0 5.594 * [backup-simplify]: Simplify (- 0) into 0 5.595 * [backup-simplify]: Simplify (+ 0 0) into 0 5.596 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.596 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.596 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.598 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 5.598 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 5.598 * [taylor]: Taking taylor expansion of 1.0 in x 5.598 * [backup-simplify]: Simplify 1.0 into 1.0 5.598 * [taylor]: Taking taylor expansion of (cos x) in x 5.598 * [taylor]: Taking taylor expansion of x in x 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 1 into 1 5.598 * [taylor]: Taking taylor expansion of (sin x) in x 5.598 * [taylor]: Taking taylor expansion of x in x 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 1 into 1 5.598 * [backup-simplify]: Simplify (- 1) into -1 5.599 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 5.599 * [backup-simplify]: Simplify (+ 0) into 0 5.600 * [backup-simplify]: Simplify (- 0) into 0 5.600 * [backup-simplify]: Simplify (+ 0 0) into 0 5.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 5.602 * [backup-simplify]: Simplify (- -1/2) into 1/2 5.602 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.603 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.603 * [backup-simplify]: Simplify 1/2 into 1/2 5.604 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.605 * [backup-simplify]: Simplify (- 0) into 0 5.605 * [backup-simplify]: Simplify (+ 0 0) into 0 5.606 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.607 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 5.610 * [backup-simplify]: Simplify (- 1/24) into -1/24 5.611 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 5.612 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.614 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 5.614 * [backup-simplify]: Simplify 1/24 into 1/24 5.616 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.617 * [backup-simplify]: Simplify (- 0) into 0 5.617 * [backup-simplify]: Simplify (+ 0 0) into 0 5.619 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 5.620 * [backup-simplify]: Simplify 0 into 0 5.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 5.626 * [backup-simplify]: Simplify (- -1/720) into 1/720 5.627 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 5.631 * [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 5.633 * [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 5.633 * [backup-simplify]: Simplify 1/240 into 1/240 5.634 * [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))) 5.634 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos (/ 1 x))))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 5.634 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 5.634 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 5.634 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.634 * [taylor]: Taking taylor expansion of 1.0 in x 5.634 * [backup-simplify]: Simplify 1.0 into 1.0 5.634 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.634 * [taylor]: Taking taylor expansion of x in x 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 1 into 1 5.635 * [backup-simplify]: Simplify (/ 1 1) into 1 5.635 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.635 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.635 * [taylor]: Taking taylor expansion of x in x 5.635 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify 1 into 1 5.635 * [backup-simplify]: Simplify (/ 1 1) into 1 5.636 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.636 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.636 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.636 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 5.636 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 5.636 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 5.636 * [taylor]: Taking taylor expansion of 1.0 in x 5.636 * [backup-simplify]: Simplify 1.0 into 1.0 5.636 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 5.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.636 * [taylor]: Taking taylor expansion of x in x 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.637 * [backup-simplify]: Simplify (/ 1 1) into 1 5.637 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 5.637 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 5.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.637 * [taylor]: Taking taylor expansion of x in x 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.637 * [backup-simplify]: Simplify (/ 1 1) into 1 5.637 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 5.638 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 5.638 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 5.638 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 5.638 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 5.639 * [backup-simplify]: Simplify (- 0) into 0 5.639 * [backup-simplify]: Simplify (+ 0 0) into 0 5.639 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify (- 0) into 0 5.640 * [backup-simplify]: Simplify (+ 0 0) into 0 5.641 * [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 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify (- 0) into 0 5.642 * [backup-simplify]: Simplify (+ 0 0) into 0 5.642 * [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 5.642 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify (- 0) into 0 5.643 * [backup-simplify]: Simplify (+ 0 0) into 0 5.644 * [backup-simplify]: Simplify (- (/ 0 (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 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify (- 0) into 0 5.644 * [backup-simplify]: Simplify (+ 0 0) into 0 5.645 * [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 5.645 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify (- 0) into 0 5.646 * [backup-simplify]: Simplify (+ 0 0) into 0 5.647 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 5.648 * [backup-simplify]: Simplify (/ (exp (log (- 1.0 (cos (/ 1 (- x)))))) (sin (/ 1 (- x)))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 5.648 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 5.648 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 5.648 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.648 * [taylor]: Taking taylor expansion of 1.0 in x 5.648 * [backup-simplify]: Simplify 1.0 into 1.0 5.648 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.648 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.648 * [taylor]: Taking taylor expansion of -1 in x 5.648 * [backup-simplify]: Simplify -1 into -1 5.648 * [taylor]: Taking taylor expansion of x in x 5.648 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify 1 into 1 5.649 * [backup-simplify]: Simplify (/ -1 1) into -1 5.649 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.649 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.649 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.649 * [taylor]: Taking taylor expansion of -1 in x 5.649 * [backup-simplify]: Simplify -1 into -1 5.649 * [taylor]: Taking taylor expansion of x in x 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.650 * [backup-simplify]: Simplify (/ -1 1) into -1 5.650 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.650 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.650 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.650 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 5.650 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 5.650 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 5.650 * [taylor]: Taking taylor expansion of 1.0 in x 5.650 * [backup-simplify]: Simplify 1.0 into 1.0 5.650 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 5.650 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.650 * [taylor]: Taking taylor expansion of -1 in x 5.650 * [backup-simplify]: Simplify -1 into -1 5.650 * [taylor]: Taking taylor expansion of x in x 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify 1 into 1 5.651 * [backup-simplify]: Simplify (/ -1 1) into -1 5.651 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 5.651 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 5.651 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.651 * [taylor]: Taking taylor expansion of -1 in x 5.651 * [backup-simplify]: Simplify -1 into -1 5.651 * [taylor]: Taking taylor expansion of x in x 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (/ -1 1) into -1 5.652 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 5.652 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 5.652 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 5.652 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 5.653 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 5.653 * [backup-simplify]: Simplify (- 0) into 0 5.653 * [backup-simplify]: Simplify (+ 0 0) into 0 5.654 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify (- 0) into 0 5.655 * [backup-simplify]: Simplify (+ 0 0) into 0 5.655 * [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 5.655 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify (- 0) into 0 5.656 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [backup-simplify]: Simplify (- (/ 0 (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 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify (- 0) into 0 5.657 * [backup-simplify]: Simplify (+ 0 0) into 0 5.658 * [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 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify (- 0) into 0 5.659 * [backup-simplify]: Simplify (+ 0 0) into 0 5.660 * [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 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify (- 0) into 0 5.660 * [backup-simplify]: Simplify (+ 0 0) into 0 5.661 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 5.661 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 5.662 * * * [progress]: simplifying candidates 5.665 * [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)) 5.672 * * [simplify]: Extracting # 0 : cost 0 5.672 * * [simplify]: Extracting # 1 : cost 0 5.673 * * [simplify]: Extracting # 2 : cost 0 5.673 * * [simplify]: Extracting # 3 : cost 0 5.674 * * [simplify]: Extracting # 4 : cost 0 5.674 * * [simplify]: Extracting # 5 : cost 0 5.675 * * [simplify]: Extracting # 6 : cost 0 5.675 * * [simplify]: iteration 0 : 200 enodes (cost 1750 ) 5.760 * * [simplify]: Extracting # 0 : cost 0 5.761 * * [simplify]: Extracting # 1 : cost 0 5.762 * * [simplify]: Extracting # 2 : cost 0 5.763 * * [simplify]: Extracting # 3 : cost 0 5.763 * * [simplify]: Extracting # 4 : cost 0 5.764 * * [simplify]: iteration 1 : 374 enodes (cost 1389 ) 6.023 * * [simplify]: Extracting # 0 : cost 0 6.027 * * [simplify]: Extracting # 1 : cost 0 6.030 * * [simplify]: Extracting # 2 : cost 0 6.032 * * [simplify]: Extracting # 3 : cost 0 6.035 * * [simplify]: Extracting # 4 : cost 0 6.038 * * [simplify]: iteration 2 : 1294 enodes (cost 1247 ) 7.054 * * [simplify]: Extracting # 0 : cost 0 7.077 * * [simplify]: Extracting # 1 : cost 0 7.089 * * [simplify]: Extracting # 2 : cost 0 7.100 * * [simplify]: Extracting # 3 : cost 0 7.120 * * [simplify]: Extracting # 4 : cost 0 7.132 * * [simplify]: iteration done: 5001 enodes (cost 1206 ) 7.134 * [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)) 7.135 * * * [progress]: adding candidates to table 7.887 * * [progress]: iteration 4 / 4 7.887 * * * [progress]: picking best candidate 7.973 * * * * [pick]: Picked # 7.973 * * * [progress]: localizing error 7.996 * * * [progress]: generating rewritten candidates 7.996 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 8.018 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 8.051 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 8.098 * * * [progress]: generating series expansions 8.098 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 8.099 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 8.099 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 8.099 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.099 * [taylor]: Taking taylor expansion of 1.0 in x 8.099 * [backup-simplify]: Simplify 1.0 into 1.0 8.099 * [taylor]: Taking taylor expansion of (cos x) in x 8.099 * [taylor]: Taking taylor expansion of x in x 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 1 into 1 8.099 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.099 * [taylor]: Taking taylor expansion of 1.0 in x 8.099 * [backup-simplify]: Simplify 1.0 into 1.0 8.099 * [taylor]: Taking taylor expansion of (cos x) in x 8.099 * [taylor]: Taking taylor expansion of x in x 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 1 into 1 8.100 * [backup-simplify]: Simplify (- 1) into -1 8.100 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.100 * [backup-simplify]: Simplify 0 into 0 8.101 * [backup-simplify]: Simplify (+ 0) into 0 8.101 * [backup-simplify]: Simplify (- 0) into 0 8.101 * [backup-simplify]: Simplify (+ 0 0) into 0 8.101 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.103 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.103 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.103 * [backup-simplify]: Simplify 1/2 into 1/2 8.105 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.105 * [backup-simplify]: Simplify (- 0) into 0 8.105 * [backup-simplify]: Simplify (+ 0 0) into 0 8.105 * [backup-simplify]: Simplify 0 into 0 8.109 * [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 8.110 * [backup-simplify]: Simplify (- 1/24) into -1/24 8.110 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 8.110 * [backup-simplify]: Simplify -1/24 into -1/24 8.113 * [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 8.113 * [backup-simplify]: Simplify (- 0) into 0 8.114 * [backup-simplify]: Simplify (+ 0 0) into 0 8.114 * [backup-simplify]: Simplify 0 into 0 8.118 * [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 8.119 * [backup-simplify]: Simplify (- -1/720) into 1/720 8.119 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 8.119 * [backup-simplify]: Simplify 1/720 into 1/720 8.120 * [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))) 8.120 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 8.120 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 8.120 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.120 * [taylor]: Taking taylor expansion of 1.0 in x 8.120 * [backup-simplify]: Simplify 1.0 into 1.0 8.120 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.120 * [taylor]: Taking taylor expansion of x in x 8.120 * [backup-simplify]: Simplify 0 into 0 8.120 * [backup-simplify]: Simplify 1 into 1 8.121 * [backup-simplify]: Simplify (/ 1 1) into 1 8.121 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.121 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.121 * [taylor]: Taking taylor expansion of 1.0 in x 8.121 * [backup-simplify]: Simplify 1.0 into 1.0 8.121 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.121 * [taylor]: Taking taylor expansion of x in x 8.121 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify 1 into 1 8.121 * [backup-simplify]: Simplify (/ 1 1) into 1 8.121 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.122 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 8.122 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.122 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 8.122 * [backup-simplify]: Simplify (- 0) into 0 8.123 * [backup-simplify]: Simplify (+ 0 0) into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify (- 0) into 0 8.129 * [backup-simplify]: Simplify (+ 0 0) into 0 8.129 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify (- 0) into 0 8.129 * [backup-simplify]: Simplify (+ 0 0) into 0 8.129 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify (- 0) into 0 8.130 * [backup-simplify]: Simplify (+ 0 0) into 0 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify (- 0) into 0 8.131 * [backup-simplify]: Simplify (+ 0 0) into 0 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify (- 0) into 0 8.131 * [backup-simplify]: Simplify (+ 0 0) into 0 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 8.132 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 8.132 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 8.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.132 * [taylor]: Taking taylor expansion of 1.0 in x 8.132 * [backup-simplify]: Simplify 1.0 into 1.0 8.132 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.132 * [taylor]: Taking taylor expansion of -1 in x 8.132 * [backup-simplify]: Simplify -1 into -1 8.132 * [taylor]: Taking taylor expansion of x in x 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify 1 into 1 8.133 * [backup-simplify]: Simplify (/ -1 1) into -1 8.133 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.133 * [taylor]: Taking taylor expansion of 1.0 in x 8.133 * [backup-simplify]: Simplify 1.0 into 1.0 8.133 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.133 * [taylor]: Taking taylor expansion of -1 in x 8.133 * [backup-simplify]: Simplify -1 into -1 8.133 * [taylor]: Taking taylor expansion of x in x 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify 1 into 1 8.133 * [backup-simplify]: Simplify (/ -1 1) into -1 8.133 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.134 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 8.134 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 8.134 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 8.134 * [backup-simplify]: Simplify (- 0) into 0 8.134 * [backup-simplify]: Simplify (+ 0 0) into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify (- 0) into 0 8.135 * [backup-simplify]: Simplify (+ 0 0) into 0 8.135 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify (- 0) into 0 8.136 * [backup-simplify]: Simplify (+ 0 0) into 0 8.136 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify (- 0) into 0 8.136 * [backup-simplify]: Simplify (+ 0 0) into 0 8.137 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify (- 0) into 0 8.137 * [backup-simplify]: Simplify (+ 0 0) into 0 8.137 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify (- 0) into 0 8.138 * [backup-simplify]: Simplify (+ 0 0) into 0 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 8.138 * * * * [progress]: [ 2 / 3 ] generating series at (2) 8.138 * [backup-simplify]: Simplify (/ 1 (/ (sin x) (- 1.0 (cos x)))) into (/ (- 1.0 (cos x)) (sin x)) 8.138 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0 8.138 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 8.138 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.138 * [taylor]: Taking taylor expansion of 1.0 in x 8.138 * [backup-simplify]: Simplify 1.0 into 1.0 8.138 * [taylor]: Taking taylor expansion of (cos x) in x 8.138 * [taylor]: Taking taylor expansion of x in x 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [taylor]: Taking taylor expansion of (sin x) in x 8.139 * [taylor]: Taking taylor expansion of x in x 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (- 1) into -1 8.139 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.140 * [backup-simplify]: Simplify (+ 0) into 0 8.140 * [backup-simplify]: Simplify (- 0) into 0 8.140 * [backup-simplify]: Simplify (+ 0 0) into 0 8.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.142 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.142 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.143 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x 8.143 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.143 * [taylor]: Taking taylor expansion of 1.0 in x 8.143 * [backup-simplify]: Simplify 1.0 into 1.0 8.143 * [taylor]: Taking taylor expansion of (cos x) in x 8.143 * [taylor]: Taking taylor expansion of x in x 8.143 * [backup-simplify]: Simplify 0 into 0 8.143 * [backup-simplify]: Simplify 1 into 1 8.143 * [taylor]: Taking taylor expansion of (sin x) in x 8.143 * [taylor]: Taking taylor expansion of x in x 8.143 * [backup-simplify]: Simplify 0 into 0 8.143 * [backup-simplify]: Simplify 1 into 1 8.144 * [backup-simplify]: Simplify (- 1) into -1 8.144 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.144 * [backup-simplify]: Simplify (+ 0) into 0 8.145 * [backup-simplify]: Simplify (- 0) into 0 8.145 * [backup-simplify]: Simplify (+ 0 0) into 0 8.146 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.146 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.146 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.147 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.148 * [backup-simplify]: Simplify 1/2 into 1/2 8.148 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.149 * [backup-simplify]: Simplify (- 0) into 0 8.149 * [backup-simplify]: Simplify (+ 0 0) into 0 8.150 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.150 * [backup-simplify]: Simplify 0 into 0 8.153 * [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 8.153 * [backup-simplify]: Simplify (- 1/24) into -1/24 8.154 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 8.155 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 8.156 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/24 8.156 * [backup-simplify]: Simplify 1/24 into 1/24 8.158 * [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 8.159 * [backup-simplify]: Simplify (- 0) into 0 8.159 * [backup-simplify]: Simplify (+ 0 0) into 0 8.160 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/24 (/ 0 1)))) into 0 8.162 * [backup-simplify]: Simplify 0 into 0 8.166 * [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 8.167 * [backup-simplify]: Simplify (- -1/720) into 1/720 8.167 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 8.170 * [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 8.172 * [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 8.173 * [backup-simplify]: Simplify 1/240 into 1/240 8.173 * [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))) 8.173 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x))))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 8.173 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 8.173 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 8.173 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.173 * [taylor]: Taking taylor expansion of 1.0 in x 8.173 * [backup-simplify]: Simplify 1.0 into 1.0 8.173 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.173 * [taylor]: Taking taylor expansion of x in x 8.174 * [backup-simplify]: Simplify 0 into 0 8.174 * [backup-simplify]: Simplify 1 into 1 8.174 * [backup-simplify]: Simplify (/ 1 1) into 1 8.174 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.174 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.174 * [taylor]: Taking taylor expansion of x in x 8.174 * [backup-simplify]: Simplify 0 into 0 8.174 * [backup-simplify]: Simplify 1 into 1 8.175 * [backup-simplify]: Simplify (/ 1 1) into 1 8.175 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.175 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 8.175 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.175 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 8.175 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x 8.175 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.175 * [taylor]: Taking taylor expansion of 1.0 in x 8.175 * [backup-simplify]: Simplify 1.0 into 1.0 8.175 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.175 * [taylor]: Taking taylor expansion of x in x 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify 1 into 1 8.176 * [backup-simplify]: Simplify (/ 1 1) into 1 8.176 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.176 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.176 * [taylor]: Taking taylor expansion of x in x 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify 1 into 1 8.176 * [backup-simplify]: Simplify (/ 1 1) into 1 8.176 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.176 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 8.177 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.177 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 8.177 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) 8.178 * [backup-simplify]: Simplify (- 0) into 0 8.178 * [backup-simplify]: Simplify (+ 0 0) into 0 8.178 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 8.178 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify (- 0) into 0 8.180 * [backup-simplify]: Simplify (+ 0 0) into 0 8.180 * [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 8.180 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify (- 0) into 0 8.181 * [backup-simplify]: Simplify (+ 0 0) into 0 8.182 * [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 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify (- 0) into 0 8.183 * [backup-simplify]: Simplify (+ 0 0) into 0 8.183 * [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 8.183 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify (- 0) into 0 8.184 * [backup-simplify]: Simplify (+ 0 0) into 0 8.185 * [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 8.185 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify (- 0) into 0 8.186 * [backup-simplify]: Simplify (+ 0 0) into 0 8.187 * [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 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (/ (- 1.0 (cos x)) (sin x)) 8.187 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ 1 (- x))) (- 1.0 (cos (/ 1 (- x)))))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 8.187 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0 8.187 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 8.187 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.187 * [taylor]: Taking taylor expansion of 1.0 in x 8.187 * [backup-simplify]: Simplify 1.0 into 1.0 8.187 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.187 * [taylor]: Taking taylor expansion of -1 in x 8.188 * [backup-simplify]: Simplify -1 into -1 8.188 * [taylor]: Taking taylor expansion of x in x 8.188 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify 1 into 1 8.188 * [backup-simplify]: Simplify (/ -1 1) into -1 8.188 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.188 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.188 * [taylor]: Taking taylor expansion of -1 in x 8.188 * [backup-simplify]: Simplify -1 into -1 8.188 * [taylor]: Taking taylor expansion of x in x 8.189 * [backup-simplify]: Simplify 0 into 0 8.189 * [backup-simplify]: Simplify 1 into 1 8.189 * [backup-simplify]: Simplify (/ -1 1) into -1 8.189 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.189 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 8.189 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 8.189 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 8.190 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x 8.190 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.190 * [taylor]: Taking taylor expansion of 1.0 in x 8.190 * [backup-simplify]: Simplify 1.0 into 1.0 8.190 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.190 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.190 * [taylor]: Taking taylor expansion of -1 in x 8.190 * [backup-simplify]: Simplify -1 into -1 8.190 * [taylor]: Taking taylor expansion of x in x 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 1 into 1 8.190 * [backup-simplify]: Simplify (/ -1 1) into -1 8.190 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.190 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.190 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.190 * [taylor]: Taking taylor expansion of -1 in x 8.191 * [backup-simplify]: Simplify -1 into -1 8.191 * [taylor]: Taking taylor expansion of x in x 8.191 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify 1 into 1 8.191 * [backup-simplify]: Simplify (/ -1 1) into -1 8.191 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.191 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 8.191 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 8.191 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 8.192 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) 8.192 * [backup-simplify]: Simplify (- 0) into 0 8.193 * [backup-simplify]: Simplify (+ 0 0) into 0 8.193 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify (- 0) into 0 8.194 * [backup-simplify]: Simplify (+ 0 0) into 0 8.194 * [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 8.194 * [backup-simplify]: Simplify 0 into 0 8.195 * [backup-simplify]: Simplify (- 0) into 0 8.195 * [backup-simplify]: Simplify (+ 0 0) into 0 8.195 * [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 8.195 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify (- 0) into 0 8.196 * [backup-simplify]: Simplify (+ 0 0) into 0 8.197 * [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 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify (- 0) into 0 8.197 * [backup-simplify]: Simplify (+ 0 0) into 0 8.198 * [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 8.198 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify (- 0) into 0 8.199 * [backup-simplify]: Simplify (+ 0 0) into 0 8.200 * [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 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) into (/ (- 1.0 (cos x)) (sin x)) 8.200 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 8.200 * [backup-simplify]: Simplify (/ (sin x) (- 1.0 (cos x))) into (/ (sin x) (- 1.0 (cos x))) 8.200 * [approximate]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in (x) around 0 8.200 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 8.200 * [taylor]: Taking taylor expansion of (sin x) in x 8.200 * [taylor]: Taking taylor expansion of x in x 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 1 into 1 8.200 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.200 * [taylor]: Taking taylor expansion of 1.0 in x 8.200 * [backup-simplify]: Simplify 1.0 into 1.0 8.200 * [taylor]: Taking taylor expansion of (cos x) in x 8.200 * [taylor]: Taking taylor expansion of x in x 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 1 into 1 8.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.202 * [backup-simplify]: Simplify (- 1) into -1 8.202 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.202 * [backup-simplify]: Simplify (+ 0) into 0 8.203 * [backup-simplify]: Simplify (- 0) into 0 8.203 * [backup-simplify]: Simplify (+ 0 0) into 0 8.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.204 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.204 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.205 * [backup-simplify]: Simplify (/ 1 1/2) into 2 8.205 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x 8.205 * [taylor]: Taking taylor expansion of (sin x) in x 8.205 * [taylor]: Taking taylor expansion of x in x 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 8.205 * [taylor]: Taking taylor expansion of 1.0 in x 8.205 * [backup-simplify]: Simplify 1.0 into 1.0 8.205 * [taylor]: Taking taylor expansion of (cos x) in x 8.205 * [taylor]: Taking taylor expansion of x in x 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.206 * [backup-simplify]: Simplify (- 1) into -1 8.206 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 8.207 * [backup-simplify]: Simplify (+ 0) into 0 8.207 * [backup-simplify]: Simplify (- 0) into 0 8.207 * [backup-simplify]: Simplify (+ 0 0) into 0 8.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 8.209 * [backup-simplify]: Simplify (- -1/2) into 1/2 8.209 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.209 * [backup-simplify]: Simplify (/ 1 1/2) into 2 8.209 * [backup-simplify]: Simplify 2 into 2 8.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.211 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.211 * [backup-simplify]: Simplify (- 0) into 0 8.212 * [backup-simplify]: Simplify (+ 0 0) into 0 8.212 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)))) into 0 8.213 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 8.216 * [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 8.217 * [backup-simplify]: Simplify (- 1/24) into -1/24 8.217 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 8.219 * [backup-simplify]: Simplify (- (/ -1/6 1/2) (+ (* 2 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/6 8.219 * [backup-simplify]: Simplify -1/6 into -1/6 8.220 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.222 * [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 8.223 * [backup-simplify]: Simplify (- 0) into 0 8.223 * [backup-simplify]: Simplify (+ 0 0) into 0 8.225 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* 2 (/ 0 1/2)) (* 0 (/ -1/24 1/2)) (* -1/6 (/ 0 1/2)))) into 0 8.225 * [backup-simplify]: Simplify 0 into 0 8.229 * [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 8.233 * [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 8.234 * [backup-simplify]: Simplify (- -1/720) into 1/720 8.234 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 8.236 * [backup-simplify]: Simplify (- (/ 1/120 1/2) (+ (* 2 (/ 1/720 1/2)) (* 0 (/ 0 1/2)) (* -1/6 (/ -1/24 1/2)) (* 0 (/ 0 1/2)))) into -1/360 8.236 * [backup-simplify]: Simplify -1/360 into -1/360 8.237 * [backup-simplify]: Simplify (+ (* -1/360 (pow x 3)) (+ (* -1/6 x) (* 2 (/ 1 x)))) into (- (* 2 (/ 1 x)) (+ (* 1/360 (pow x 3)) (* 1/6 x))) 8.237 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 8.237 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in (x) around 0 8.237 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 8.237 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.237 * [taylor]: Taking taylor expansion of x in x 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify 1 into 1 8.238 * [backup-simplify]: Simplify (/ 1 1) into 1 8.238 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.238 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.238 * [taylor]: Taking taylor expansion of 1.0 in x 8.238 * [backup-simplify]: Simplify 1.0 into 1.0 8.238 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.238 * [taylor]: Taking taylor expansion of x in x 8.238 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify 1 into 1 8.238 * [backup-simplify]: Simplify (/ 1 1) into 1 8.238 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.238 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 8.238 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.239 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 8.239 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x 8.239 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 8.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.239 * [taylor]: Taking taylor expansion of x in x 8.239 * [backup-simplify]: Simplify 0 into 0 8.239 * [backup-simplify]: Simplify 1 into 1 8.239 * [backup-simplify]: Simplify (/ 1 1) into 1 8.240 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) 8.240 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 8.240 * [taylor]: Taking taylor expansion of 1.0 in x 8.240 * [backup-simplify]: Simplify 1.0 into 1.0 8.240 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 8.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.240 * [taylor]: Taking taylor expansion of x in x 8.240 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify 1 into 1 8.240 * [backup-simplify]: Simplify (/ 1 1) into 1 8.240 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 8.240 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 8.240 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 8.241 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 8.241 * [backup-simplify]: Simplify (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) 8.241 * [backup-simplify]: Simplify (- 0) into 0 8.241 * [backup-simplify]: Simplify (+ 0 0) into 0 8.242 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 8.242 * [backup-simplify]: Simplify 0 into 0 8.242 * [backup-simplify]: Simplify (- 0) into 0 8.243 * [backup-simplify]: Simplify (+ 0 0) into 0 8.243 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify (- 0) into 0 8.244 * [backup-simplify]: Simplify (+ 0 0) into 0 8.244 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 8.244 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify (- 0) into 0 8.245 * [backup-simplify]: Simplify (+ 0 0) into 0 8.246 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify (- 0) into 0 8.247 * [backup-simplify]: Simplify (+ 0 0) into 0 8.247 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 8.247 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify (- 0) into 0 8.248 * [backup-simplify]: Simplify (+ 0 0) into 0 8.249 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ 1 x))))))) into 0 8.249 * [backup-simplify]: Simplify 0 into 0 8.249 * [backup-simplify]: Simplify (/ (sin (/ 1 (/ 1 x))) (- 1.0 (cos (/ 1 (/ 1 x))))) into (/ (sin x) (- 1.0 (cos x))) 8.249 * [backup-simplify]: Simplify (/ (sin (/ 1 (- x))) (- 1.0 (cos (/ 1 (- x))))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 8.250 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in (x) around 0 8.250 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 8.250 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.250 * [taylor]: Taking taylor expansion of -1 in x 8.250 * [backup-simplify]: Simplify -1 into -1 8.250 * [taylor]: Taking taylor expansion of x in x 8.250 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify 1 into 1 8.250 * [backup-simplify]: Simplify (/ -1 1) into -1 8.250 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.250 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.250 * [taylor]: Taking taylor expansion of 1.0 in x 8.250 * [backup-simplify]: Simplify 1.0 into 1.0 8.250 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.250 * [taylor]: Taking taylor expansion of -1 in x 8.251 * [backup-simplify]: Simplify -1 into -1 8.251 * [taylor]: Taking taylor expansion of x in x 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify 1 into 1 8.251 * [backup-simplify]: Simplify (/ -1 1) into -1 8.251 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.251 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 8.251 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 8.251 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 8.251 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x 8.252 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 8.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.252 * [taylor]: Taking taylor expansion of -1 in x 8.252 * [backup-simplify]: Simplify -1 into -1 8.252 * [taylor]: Taking taylor expansion of x in x 8.252 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify 1 into 1 8.252 * [backup-simplify]: Simplify (/ -1 1) into -1 8.252 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) 8.252 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 8.252 * [taylor]: Taking taylor expansion of 1.0 in x 8.252 * [backup-simplify]: Simplify 1.0 into 1.0 8.252 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 8.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.252 * [taylor]: Taking taylor expansion of -1 in x 8.252 * [backup-simplify]: Simplify -1 into -1 8.252 * [taylor]: Taking taylor expansion of x in x 8.252 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify 1 into 1 8.253 * [backup-simplify]: Simplify (/ -1 1) into -1 8.253 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 8.253 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 8.253 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 8.253 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 8.253 * [backup-simplify]: Simplify (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) 8.254 * [backup-simplify]: Simplify (- 0) into 0 8.254 * [backup-simplify]: Simplify (+ 0 0) into 0 8.255 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify (- 0) into 0 8.255 * [backup-simplify]: Simplify (+ 0 0) into 0 8.256 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify (- 0) into 0 8.257 * [backup-simplify]: Simplify (+ 0 0) into 0 8.257 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 8.257 * [backup-simplify]: Simplify 0 into 0 8.258 * [backup-simplify]: Simplify (- 0) into 0 8.258 * [backup-simplify]: Simplify (+ 0 0) into 0 8.259 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 8.259 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify (- 0) into 0 8.259 * [backup-simplify]: Simplify (+ 0 0) into 0 8.260 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 8.260 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify (- 0) into 0 8.261 * [backup-simplify]: Simplify (+ 0 0) into 0 8.262 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))) (* 0 (/ 0 (- 1.0 (cos (/ -1 x))))))) into 0 8.262 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify (/ (sin (/ -1 (/ 1 (- x)))) (- 1.0 (cos (/ -1 (/ 1 (- x)))))) into (/ (sin x) (- 1.0 (cos x))) 8.262 * * * [progress]: simplifying candidates 8.267 * [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 (/ (sin x) (- 1.0 (cos x))))) (log1p (/ 1 (/ (sin x) (- 1.0 (cos x))))) (- 1) (- (- (log (sin x)) (log (- 1.0 (cos x))))) (- (log (/ (sin x) (- 1.0 (cos x))))) (- 0 (- (log (sin x)) (log (- 1.0 (cos x))))) (- 0 (log (/ (sin x) (- 1.0 (cos x))))) (- (log 1) (- (log (sin x)) (log (- 1.0 (cos x))))) (- (log 1) (log (/ (sin x) (- 1.0 (cos x))))) (log (/ 1 (/ (sin x) (- 1.0 (cos x))))) (exp (/ 1 (/ (sin x) (- 1.0 (cos x))))) (/ (* (* 1 1) 1) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))))) (/ (* (* 1 1) 1) (* (* (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x)))) (/ (sin x) (- 1.0 (cos x))))) (* (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x)))))) (cbrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (* (* (/ 1 (/ (sin x) (- 1.0 (cos x)))) (/ 1 (/ (sin x) (- 1.0 (cos x))))) (/ 1 (/ (sin x) (- 1.0 (cos x))))) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (sqrt (/ 1 (/ (sin x) (- 1.0 (cos x))))) (- 1) (- (/ (sin x) 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1.0 (cos x)) (sin x)) (/ (- 1.0 (cos x)) (sin x)) (- (* 2 (/ 1 x)) (+ (* 1/360 (pow x 3)) (* 1/6 x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) 8.282 * * [simplify]: Extracting # 0 : cost 0 8.282 * * [simplify]: Extracting # 1 : cost 0 8.283 * * [simplify]: Extracting # 2 : cost 0 8.283 * * [simplify]: Extracting # 3 : cost 0 8.284 * * [simplify]: Extracting # 4 : cost 0 8.284 * * [simplify]: Extracting # 5 : cost 0 8.285 * * [simplify]: Extracting # 6 : cost 0 8.286 * * [simplify]: Extracting # 7 : cost 0 8.286 * * [simplify]: Extracting # 8 : cost 0 8.287 * * [simplify]: iteration 0 : 269 enodes (cost 3021 ) 8.455 * * [simplify]: Extracting # 0 : cost 0 8.457 * * [simplify]: Extracting # 1 : cost 0 8.458 * * [simplify]: Extracting # 2 : cost 0 8.460 * * [simplify]: Extracting # 3 : cost 0 8.461 * * [simplify]: Extracting # 4 : cost 0 8.463 * * [simplify]: iteration 1 : 654 enodes (cost 2567 ) 9.035 * * [simplify]: Extracting # 0 : cost 0 9.041 * * [simplify]: Extracting # 1 : cost 0 9.049 * * [simplify]: Extracting # 2 : cost 0 9.056 * * [simplify]: Extracting # 3 : cost 0 9.063 * * [simplify]: Extracting # 4 : cost 0 9.071 * * [simplify]: iteration 2 : 3118 enodes (cost 2363 ) 10.374 * * [simplify]: Extracting # 0 : cost 0 10.385 * * [simplify]: Extracting # 1 : cost 0 10.396 * * [simplify]: Extracting # 2 : cost 0 10.408 * * [simplify]: iteration done: 5000 enodes (cost 2347 ) 10.410 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- (pow (cbrt 1.0) 3) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 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(cbrt (sin x)) (cbrt (- 1.0 (cos x))))) (* (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- 1.0 (cos x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- 1.0 (cos x)))) (/ 1 (/ (sqrt (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ 1 (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ 1 (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ 1 (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (- 1.0 (cos x)))) (/ 1 (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (/ 1 (sin x)) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (/ 1 (/ (sin x) (sqrt (- 1.0 (cos x))))) 1 (/ (- 1.0 (cos x)) (sin x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) 1 (/ (- 1.0 (cos x)) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (- 1.0 (cos x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ 1 (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x)))))) (/ 1 (cbrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x))))) (* (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (cbrt (sin x))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- 1.0 (cos x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (cbrt (sin x)) (- 1.0 (cos x)))) (/ 1 (/ (sqrt (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x))))) (/ 1 (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ 1 (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ 1 (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (- 1.0 (cos x)))) (/ 1 (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x))))) (/ 1 (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (- 1.0 (cos x)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (/ 1 (sin x)) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (/ 1 (/ (sin x) (sqrt (- 1.0 (cos x))))) 1 (/ (- 1.0 (cos x)) (sin x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ 1 (/ (sin x) (- (sqrt 1.0) (sqrt (cos x))))) 1 (/ (- 1.0 (cos x)) (sin x)) 1 (/ (- 1.0 (cos x)) (sin x)) (/ 1 (sin x)) (- 1.0 (cos x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (fma 1.0 1.0 (* (cos x) (+ (cos x) 1.0)))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ 1 (+ 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- 1.0 (cos x))) (/ 1 (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x)))))) (/ 1 (sqrt (/ (sin x) (- 1.0 (cos x))))) (/ 1 (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (- 1.0 (cos x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) (/ 1 (/ (sqrt (sin x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (/ 1 (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x))))) (/ 1 (sqrt (sin x))) (/ 1 (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x))))) (/ 1 (sqrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 1 (/ 1 (sin x)) (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))) (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) (/ 1 (sin x)) (expm1 (/ (sin x) (- 1.0 (cos x)))) (log1p (/ (sin x) (- 1.0 (cos x)))) (log (/ (sin x) (- 1.0 (cos x)))) (log (/ (sin x) (- 1.0 (cos x)))) (exp (/ (sin x) (- 1.0 (cos x)))) (/ (pow (sin x) 3) (pow (- 1.0 (cos x)) 3)) (* (cbrt (/ (sin x) (- 1.0 (cos x)))) (cbrt (/ (sin x) (- 1.0 (cos x))))) (cbrt (/ (sin x) (- 1.0 (cos x)))) (pow (/ (sin x) (- 1.0 (cos x))) 3) (sqrt (/ (sin x) (- 1.0 (cos x)))) (sqrt (/ (sin x) (- 1.0 (cos x)))) (- (sin x)) (- (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (cbrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (- 1.0 (cos x)))) (/ (cbrt (sin x)) (sqrt (- 1.0 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (- 1.0 (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (cbrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (- 1.0 (cos x))) (/ (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) (cbrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (/ (sqrt (sin x)) (sqrt (- 1.0 (cos x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ (sqrt (sin x)) (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (sin x)) (- (sqrt 1.0) (sqrt (cos x)))) (sqrt (sin x)) (/ (sqrt (sin x)) (- 1.0 (cos x))) (/ 1 (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sin x) (cbrt (- 1.0 (cos x)))) (/ 1 (sqrt (- 1.0 (cos x)))) (/ (sin x) (sqrt (- 1.0 (cos x)))) 1 (/ (sin x) (- 1.0 (cos x))) (/ 1 (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sin x) (- (sqrt 1.0) (sqrt (cos x)))) 1 (/ (sin x) (- 1.0 (cos x))) (/ 1 (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (/ (sin x) (sqrt (- 1.0 (cos x)))) (sin x) (/ (sin x) (+ (sqrt 1.0) (sqrt (cos x)))) (sin x) (/ (- 1.0 (cos x)) (cbrt (sin x))) (/ (- 1.0 (cos x)) (sqrt (sin x))) (/ (- 1.0 (cos x)) (sin x)) (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3))) (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x)))) (fma (pow x 2) 1/2 (fma (pow x 6) 1/720 (* -1/24 (pow x 4)))) (- 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)) (- (/ 2 x) (fma 1/360 (pow x 3) (* 1/6 x))) (/ (sin x) (- 1.0 (cos x))) (/ (sin x) (- 1.0 (cos x))) 10.412 * * * [progress]: adding candidates to table 11.096 * [progress]: [Phase 3 of 3] Extracting. 11.097 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 11.102 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x) 11.102 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# # # # # # # # # # # # # # # # #) 11.294 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (# #) 11.352 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # #) 11.542 * * * [regime]: Found split indices: #