* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (/ 1 x) (/ 1 (tan x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 (tan x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 (tan x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/3 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/3 1)) (* -1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]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 * [misc]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 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2/15 1)) (* 0 (/ 0 1)) (* -1/3 (/ 1/3 1)) (* 0 (/ 0 1)))) into -1/45 * [misc]backup-simplify: Simplify (- -1/45) into 1/45 * [misc]backup-simplify: Simplify (+ 0 1/45) into 1/45 * [misc]backup-simplify: Simplify 1/45 into 1/45 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]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 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 2/15 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 2/15 1)) (* -1/3 (/ 0 1)) (* 0 (/ 1/3 1)) (* -1/45 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into (- 1/5040) * [misc]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) * [misc]backup-simplify: Simplify (- (/ (- 1/5040) 1) (+ (* 1 (/ (- 1/720) 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 17/315 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 17/315 1)) (* 0 (/ 0 1)) (* -1/3 (/ 2/15 1)) (* 0 (/ 0 1)) (* -1/45 (/ 1/3 1)) (* 0 (/ 0 1)))) into -2/945 * [misc]backup-simplify: Simplify (- -2/945) into 2/945 * [misc]backup-simplify: Simplify (+ 0 2/945) into 2/945 * [misc]backup-simplify: Simplify 2/945 into 2/945 * [misc]backup-simplify: Simplify (+ (* 2/945 (pow x 5)) (+ (* 1/45 (pow x 3)) (* 1/3 x))) into (+ (* 1/45 (pow x 3)) (+ (* 2/945 (pow x 5)) (* 1/3 x))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 x)) (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- x))) (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (tan x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/3 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/3 1)) (* -1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 * [misc]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 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2/15 1)) (* 0 (/ 0 1)) (* -1/3 (/ 1/3 1)) (* 0 (/ 0 1)))) into -1/45 * [misc]backup-simplify: Simplify -1/45 into -1/45 * [misc]backup-simplify: Simplify (+ (* -1/45 (pow x 3)) (+ (* -1/3 x) (* 1 (/ 1 x)))) into (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) * [misc]approximate: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (/ (cos (/ -1 x)) (sin (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 x)) (sin (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/45 (pow x 3)) (+ (* 2/945 (pow x 5)) (* 1/3 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (* 2/945 (pow x 5)) (+ (* (sqr x) (* x 1/45)) (* 1/3 x))) * * * * [misc]progress: [ 2 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * * * [misc]progress: [ 3 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * * * [misc]progress: [ 4 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (* 1/3 x) (* 1/45 (cube x))) * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * * * [misc]progress: [ 6 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * * * [misc]progress: [ 7 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 x)) (exp (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 8 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (log (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 10 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 11 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (cbrt (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cube (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (cube (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (tan x)) (* x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (tan x) x) * [exit]simplify: Simplified to (- (tan x) x) * [enter]simplify: Simplifying (* x (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (* (tan x) x) * [exit]simplify: Simplified to (* (tan x) x) * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 x) 3) (pow (/ 1 (tan x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (/ 1 (cube x)) (/ 1 (cube (tan x)))) * [exit]simplify: Simplified to (- (/ 1 (cube x)) (/ 1 (cube (tan x)))) * [enter]simplify: Simplifying (+ (sqr (/ 1 x)) (+ (sqr (/ 1 (tan x))) (* (/ 1 x) (/ 1 (tan x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 1 x) (tan x)) (/ 1 (sqr x))) (/ 1 (* (tan x) (tan x)))) * [exit]simplify: Simplified to (+ (+ (/ (/ 1 x) (tan x)) (/ 1 (sqr x))) (/ 1 (* (tan x) (tan x)))) * * * * [misc]progress: [ 16 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- 1) (tan x)) * [exit]simplify: Simplified to (/ (- 1) (tan x)) * * * * [misc]progress: [ 17 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (/ 1 x)) (sqr (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 x) x) (* (/ 1 (tan x)) (/ 1 (tan x)))) * [exit]simplify: Simplified to (- (/ (/ 1 x) x) (* (/ 1 (tan x)) (/ 1 (tan x)))) * [enter]simplify: Simplifying (+ (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 (tan x)) (/ 1 x)) * [exit]simplify: Simplified to (+ (/ 1 (tan x)) (/ 1 x)) * * * * [misc]progress: [ 19 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 x)) (sqrt (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (tan x))) (sqrt (/ 1 x))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (tan x))) (sqrt (/ 1 x))) * [enter]simplify: Simplifying (- (sqrt (/ 1 x)) (sqrt (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 x)) (sqrt (/ 1 (tan x)))) * [exit]simplify: Simplified to (- (sqrt (/ 1 x)) (sqrt (/ 1 (tan x)))) * * * * [misc]progress: [ 20 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * * * * [misc]progress: [ 21 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * * * * [misc]progress: [ 22 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * * * * [misc]progress: [ 23 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 25 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (log (tan x))) * [exit]simplify: Simplified to (- (log (tan x))) * * * * [misc]progress: [ 28 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (log (tan x))) * [exit]simplify: Simplified to (- (log (tan x))) * * * * [misc]progress: [ 29 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (/ 1 (tan x))) * [exit]simplify: Simplified to (exp (/ 1 (tan x))) * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (tan x))) * [exit]simplify: Simplified to (cbrt (/ 1 (tan x))) * * * * [misc]progress: [ 31 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ 1 (cube (tan x))) * [exit]simplify: Simplified to (/ 1 (cube (tan x))) * * * * [misc]progress: [ 32 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (tan x))) * [exit]simplify: Simplified to (sqrt (/ 1 (tan x))) * * * * [misc]progress: [ 33 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (tan x)) * [exit]simplify: Simplified to (- (tan x)) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (tan x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (tan x)) * [exit]simplify: Simplified to (/ 1 (tan x)) * * * * [misc]progress: [ 36 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (tan x) 1) * [exit]simplify: Simplified to (/ (tan x) 1) * * * * [misc]progress: [ 37 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (/ 1 x) (* (/ 1 (sin x)) (cos x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (* (/ 1 (sin x)) (cos x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin x)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (* (/ 1 (sin x)) (cos x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin x)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/2)) (+ (* 0 0) (* 1/6 1))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/2)) (+ (* 1/6 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]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 * [misc]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 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 7/360 * [misc]backup-simplify: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 1/6 (- 1/2)) (+ (* 0 0) (* 7/360 1))))) into -1/45 * [misc]backup-simplify: Simplify (- -1/45) into 1/45 * [misc]backup-simplify: Simplify (+ 0 1/45) into 1/45 * [misc]backup-simplify: Simplify 1/45 into 1/45 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]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 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/120 1)) (* 1/6 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 7/360 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* 1/6 0) (+ (* 0 (- 1/2)) (+ (* 7/360 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]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) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into (- 1/5040) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/5040) 1)) (* 0 (/ 0 1)) (* 1/6 (/ 1/120 1)) (* 0 (/ 0 1)) (* 7/360 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 31/15120 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/720)) (+ (* 0 0) (+ (* 1/6 1/24) (+ (* 0 0) (+ (* 7/360 (- 1/2)) (+ (* 0 0) (* 31/15120 1))))))) into -2/945 * [misc]backup-simplify: Simplify (- -2/945) into 2/945 * [misc]backup-simplify: Simplify (+ 0 2/945) into 2/945 * [misc]backup-simplify: Simplify 2/945 into 2/945 * [misc]backup-simplify: Simplify (+ (* 2/945 (pow x 5)) (+ (* 1/45 (pow x 3)) (* 1/3 x))) into (+ (* 1/45 (pow x 3)) (+ (* 2/945 (pow x 5)) (* 1/3 x))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 x)) (* (/ 1 (sin (/ 1 x))) (cos (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) (* (/ 1 (sin (/ 1 x))) (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin (/ 1 x))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) (* (/ 1 (sin (/ 1 x))) (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin (/ 1 x))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ 1 (sin (/ 1 x))) (cos (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 x)) (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) (* (/ 1 (sin (/ 1 (- x)))) (cos (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) (* (/ 1 (sin (/ 1 (- x)))) (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) (* (/ 1 (sin (/ 1 (- x)))) (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ 1 (sin (/ -1 x))) (cos (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- x))) (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 7/360 * [misc]backup-simplify: Simplify 7/360 into 7/360 * [misc]backup-simplify: Simplify (+ (* 7/360 (pow x 3)) (+ (* 1/6 x) (* 1 (/ 1 x)))) into (+ (/ 1 x) (+ (* 7/360 (pow x 3)) (* 1/6 x))) * [misc]approximate: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ 1 (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ 1 (sin x)) (cos x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin x)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin x)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/2)) (+ (* 0 0) (* 1/6 1))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/2)) (+ (* 1/6 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 * [misc]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 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 7/360 * [misc]backup-simplify: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* 1/6 (- 1/2)) (+ (* 0 0) (* 7/360 1))))) into -1/45 * [misc]backup-simplify: Simplify -1/45 into -1/45 * [misc]backup-simplify: Simplify (+ (* -1/45 (pow x 3)) (+ (* -1/3 x) (* 1 (/ 1 x)))) into (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (sin (/ 1 x))) (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin (/ 1 x))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin (/ 1 x))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ 1 x))) into (/ 1 (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ 1 (sin (/ 1 x))) (cos (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (sin (/ -1 x))) into (/ 1 (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ 1 (sin (/ -1 x))) (cos (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (/ (cos (/ -1 x)) (sin (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 x)) (sin (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/45 (pow x 3)) (+ (* 2/945 (pow x 5)) (* 1/3 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (* 2/945 (pow x 5)) (+ (* (sqr x) (* x 1/45)) (* 1/3 x))) * * * * [misc]progress: [ 2 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * * * [misc]progress: [ 3 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * * * [misc]progress: [ 4 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (* (+ (/ 1 x) (+ (* 7/360 (pow x 3)) (* 1/6 x))) (cos x))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (* (cos x) (+ (* 7/360 (cube x)) (+ (* 1/6 x) (/ 1 x))))) * * * * [misc]progress: [ 5 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (* (/ 1 (sin (/ 1 x))) (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos x) (sin (/ 1 x)))) * * * * [misc]progress: [ 6 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (* (/ 1 (sin (/ -1 x))) (cos x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos x) (sin (/ -1 x)))) * * * * [misc]progress: [ 7 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (* 1/3 x) (* 1/45 (cube x))) * * * * [misc]progress: [ 8 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * * * [misc]progress: [ 9 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * * * [misc]progress: [ 10 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 x)) (exp (* (/ 1 (sin x)) (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ (cos x) (sin x)))) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ (cos x) (sin x)))) * * * * [misc]progress: [ 11 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 x) (* (/ 1 (sin x)) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (log (- (/ 1 x) (/ (cos x) (sin x)))) * [exit]simplify: Simplified to (log (- (/ 1 x) (/ (cos x) (sin x)))) * * * * [misc]progress: [ 13 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ 1 x) (* (/ 1 (sin x)) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ (cos x) (sin x)))) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ (cos x) (sin x)))) * * * * [misc]progress: [ 14 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 x) (* (/ 1 (sin x)) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 x) (/ (cos x) (sin x)))) * [exit]simplify: Simplified to (cbrt (- (/ 1 x) (/ (cos x) (sin x)))) * * * * [misc]progress: [ 15 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (/ 1 x) (* (/ 1 (sin x)) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cube (- (/ 1 x) (/ (cos x) (sin x)))) * [exit]simplify: Simplified to (cube (- (/ 1 x) (/ (cos x) (sin x)))) * * * * [misc]progress: [ 16 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 x) (* (/ 1 (sin x)) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ (cos x) (sin x)))) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ (cos x) (sin x)))) * * * * [misc]progress: [ 17 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (sin x)) (* x (* 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (sin x) (* x (cos x))) * [exit]simplify: Simplified to (- (sin x) (* x (cos x))) * [enter]simplify: Simplifying (* x (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (* (sin x) x) * [exit]simplify: Simplified to (* (sin x) x) * * * * [misc]progress: [ 18 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 x) 3) (pow (* (/ 1 (sin x)) (cos x)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 x) (sqr x)) (cube (/ (cos x) (sin x)))) * [exit]simplify: Simplified to (- (/ (/ 1 x) (sqr x)) (cube (/ (cos x) (sin x)))) * [enter]simplify: Simplifying (+ (sqr (/ 1 x)) (+ (sqr (* (/ 1 (sin x)) (cos x))) (* (/ 1 x) (* (/ 1 (sin x)) (cos x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (+ (* (/ 1 x) (+ (/ 1 x) (/ (cos x) (sin x)))) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))) * [exit]simplify: Simplified to (+ (* (/ 1 x) (+ (/ 1 x) (/ (cos x) (sin x)))) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))) * * * * [misc]progress: [ 19 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (sin x)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (/ (cos x) (sin x))) * [exit]simplify: Simplified to (- (/ (cos x) (sin x))) * * * * [misc]progress: [ 20 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (/ 1 x)) (sqr (* (/ 1 (sin x)) (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (+ (/ 1 x) (/ (cos x) (sin x))) (- (/ 1 x) (/ (cos x) (sin x)))) * [exit]simplify: Simplified to (* (+ (/ 1 x) (/ (cos x) (sin x))) (- (/ 1 x) (/ (cos x) (sin x)))) * [enter]simplify: Simplifying (+ (/ 1 x) (* (/ 1 (sin x)) (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (cos x) (sin x))) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (cos x) (sin x))) * * * * [misc]progress: [ 22 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 x)) (sqrt (* (/ 1 (sin x)) (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ (cos x) (sin x))) (sqrt (/ 1 x))) * [exit]simplify: Simplified to (+ (sqrt (/ (cos x) (sin x))) (sqrt (/ 1 x))) * [enter]simplify: Simplifying (- (sqrt (/ 1 x)) (sqrt (* (/ 1 (sin x)) (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 x)) (sqrt (/ (cos x) (sin x)))) * [exit]simplify: Simplified to (- (sqrt (/ 1 x)) (sqrt (/ (cos x) (sin x)))) * * * * [misc]progress: [ 23 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (sin x))) (sqrt (cos x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 x)) (* (sqrt (cos x)) (sqrt (/ 1 (sin x))))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 x)) (* (sqrt (cos x)) (sqrt (/ 1 (sin x))))) * [enter]simplify: Simplifying (- (sqrt (/ 1 x)) (* (sqrt (/ 1 (sin x))) (sqrt (cos x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 x)) (* (sqrt (cos x)) (sqrt (/ 1 (sin x))))) * [exit]simplify: Simplified to (- (sqrt (/ 1 x)) (* (sqrt (cos x)) (sqrt (/ 1 (sin x))))) * * * * [misc]progress: [ 24 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 25 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (log (sin x))) * [exit]simplify: Simplified to (- (log (sin x))) * * * * [misc]progress: [ 28 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (log (sin x))) * [exit]simplify: Simplified to (- (log (sin x))) * * * * [misc]progress: [ 29 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (/ 1 (sin x))) * [exit]simplify: Simplified to (exp (/ 1 (sin x))) * * * * [misc]progress: [ 30 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sin x))) * [exit]simplify: Simplified to (cbrt (/ 1 (sin x))) * * * * [misc]progress: [ 31 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ 1 (cube (sin x))) * [exit]simplify: Simplified to (/ 1 (cube (sin x))) * * * * [misc]progress: [ 32 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sin x))) * [exit]simplify: Simplified to (sqrt (/ 1 (sin x))) * * * * [misc]progress: [ 33 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 34 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * * * * [misc]progress: [ 36 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (sin x) 1) * [exit]simplify: Simplified to (/ (sin x) 1) * * * * [misc]progress: [ 37 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 38 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sin x)) (cos x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * * * * [misc]progress: [ 39 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (sin x))) (log (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ (log (cos x)) (- (log (sin x)))) * [exit]simplify: Simplified to (+ (log (cos x)) (- (log (sin x)))) * * * * [misc]progress: [ 41 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (sin x))) (log (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (+ (- (log (sin x))) (log (cos x))) * [exit]simplify: Simplified to (+ (- (log (sin x))) (log (cos x))) * * * * [misc]progress: [ 42 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 (sin x)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (log (/ (cos x) (sin x))) * [exit]simplify: Simplified to (log (/ (cos x) (sin x))) * * * * [misc]progress: [ 43 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 (sin x)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (exp (/ (cos x) (sin x))) * [exit]simplify: Simplified to (exp (/ (cos x) (sin x))) * * * * [misc]progress: [ 44 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (/ 1 (sin x))) (cube (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (cube (cos x)) (cube (sin x))) * [exit]simplify: Simplified to (/ (cube (cos x)) (cube (sin x))) * * * * [misc]progress: [ 45 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ 1 (sin x)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos x) (sin x))) * [exit]simplify: Simplified to (cbrt (/ (cos x) (sin x))) * * * * [misc]progress: [ 46 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (/ 1 (sin x)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (cube (/ (cos x) (sin x))) * [exit]simplify: Simplified to (cube (/ (cos x) (sin x))) * * * * [misc]progress: [ 47 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (sin x))) (cbrt (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sin x))) (cbrt (cos x))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sin x))) (cbrt (cos x))) * * * * [misc]progress: [ 48 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 (sin x)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos x) (sin x))) * [exit]simplify: Simplified to (sqrt (/ (cos x) (sin x))) * * * * [misc]progress: [ 49 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (sin x))) (sqrt (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sin x))) (sqrt (cos x))) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sin x))) (sqrt (cos x))) * * * * [misc]progress: [ 50 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sin x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * * * * [misc]progress: [ 52 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sin x)) (cos x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * * * * [misc]progress: [ 53 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sin x)) (cos x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * * * * [misc]progress: [ 54 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cos x) * [exit]simplify: Simplified to (cos x) * * * * [misc]progress: [ 55 / 55 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 x) (/ 1 (tan x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 (tan x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 (tan x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/3 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/3 1)) (* -1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]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 * [misc]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 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2/15 1)) (* 0 (/ 0 1)) (* -1/3 (/ 1/3 1)) (* 0 (/ 0 1)))) into -1/45 * [misc]backup-simplify: Simplify (- -1/45) into 1/45 * [misc]backup-simplify: Simplify (+ 0 1/45) into 1/45 * [misc]backup-simplify: Simplify 1/45 into 1/45 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]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 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 2/15 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 2/15 1)) (* -1/3 (/ 0 1)) (* 0 (/ 1/3 1)) (* -1/45 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into (- 1/5040) * [misc]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) * [misc]backup-simplify: Simplify (- (/ (- 1/5040) 1) (+ (* 1 (/ (- 1/720) 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 17/315 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 17/315 1)) (* 0 (/ 0 1)) (* -1/3 (/ 2/15 1)) (* 0 (/ 0 1)) (* -1/45 (/ 1/3 1)) (* 0 (/ 0 1)))) into -2/945 * [misc]backup-simplify: Simplify (- -2/945) into 2/945 * [misc]backup-simplify: Simplify (+ 0 2/945) into 2/945 * [misc]backup-simplify: Simplify 2/945 into 2/945 * [misc]backup-simplify: Simplify (+ (* 2/945 (pow x 5)) (+ (* 1/45 (pow x 3)) (* 1/3 x))) into (+ (* 1/45 (pow x 3)) (+ (* 2/945 (pow x 5)) (* 1/3 x))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 x)) (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- x))) (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (exp (- (/ 1 x) (/ 1 (tan x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (- (/ 1 x) (/ 1 (tan x))))) in x * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x) (/ 1 (tan x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 (tan x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/3 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (- (/ 1 x) (/ 1 (tan x))))) in x * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x) (/ 1 (tan x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ 1 (tan x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/3 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/3) 1)) (pow 1 1)))) 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/3 1)) (* -1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 0 1) 1)))) into 1/18 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/3) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/18) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]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 * [misc]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 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2/15 1)) (* 0 (/ 0 1)) (* -1/3 (/ 1/3 1)) (* 0 (/ 0 1)))) into -1/45 * [misc]backup-simplify: Simplify (- -1/45) into 1/45 * [misc]backup-simplify: Simplify (+ 0 1/45) into 1/45 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/45 1) 1)))) into 23/810 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/3) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/3) 1) (pow (* 2 1/18) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 23/810) 1)) (pow 1 1)))) 6) into 1/45 * [misc]backup-simplify: Simplify 1/45 into 1/45 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]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 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 2/15 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 2/15 1)) (* -1/3 (/ 0 1)) (* 0 (/ 1/3 1)) (* -1/45 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 4) 24)) (* (/ (pow 1/3 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow 1/45 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 77/9720 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1/3) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1/3) 2) (pow (* 2 1/18) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/18) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1/3) 1) 1 (pow (* 6 23/810) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 77/9720) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 7) 5040)) 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into (- 1/5040) * [misc]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) * [misc]backup-simplify: Simplify (- (/ (- 1/5040) 1) (+ (* 1 (/ (- 1/720) 1)) (* 0 (/ 0 1)) (* 1/3 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/15 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 17/315 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 17/315 1)) (* 0 (/ 0 1)) (* -1/3 (/ 2/15 1)) (* 0 (/ 0 1)) (* -1/45 (/ 1/3 1)) (* 0 (/ 0 1)))) into -2/945 * [misc]backup-simplify: Simplify (- -2/945) into 2/945 * [misc]backup-simplify: Simplify (+ 0 2/945) into 2/945 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 5) 120)) (* (/ (pow 1/3 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 1/3 2) 2) (/ (pow 1/45 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 1/3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 1/45 1) 1)) (* (/ (pow 2/945 1) 1)))) into 691/204120 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1/3) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1/3) 3) (pow (* 2 1/18) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1/3) 1) (pow (* 2 1/18) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1/3) 2) 1 (pow (* 6 23/810) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 1/18) 1) (pow (* 6 23/810) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1/3) 1) 1 1 (pow (* 24 77/9720) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 691/204120) 1)) (pow 1 1)))) 120) into 2/945 * [misc]backup-simplify: Simplify 2/945 into 2/945 * [misc]backup-simplify: Simplify (+ (* 2/945 (pow x 5)) (+ (* 1/45 (pow x 3)) (* 1/3 x))) into (+ (* 1/45 (pow x 3)) (+ (* 2/945 (pow x 5)) (* 1/3 x))) * [misc]approximate: Taking taylor expansion of (log (exp (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) * [misc]backup-simplify: Simplify (log (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (log (exp (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) (/ 1 (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) * [misc]backup-simplify: Simplify (log (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) into (- (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 2)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 3)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 1) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 4)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 2) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 2)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 1) 1 (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 5)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 3) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 1) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 2)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 2) 1 (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1) (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 1) 1 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 (* 1/120 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 6)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 4) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 2) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 2)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 3) 1 (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 3)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 1) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1) (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 2) 1 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 2)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1) 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 1) 1 1 1 (pow (* 120 (* 1/120 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (* 1/720 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/5040 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 7)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 7))) (* -2520 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 5) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 6))) (* 2520 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 3) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 2)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 5))) (* 840 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 4) 1 (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 5))) (* -630 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 1) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 3)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 4))) (* -1260 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 2) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1) (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 4))) (* -210 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 3) 1 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 4))) (* 210 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 2) (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 3))) (* 140 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 1) 1 (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 2)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 3))) (* 210 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 1) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1) 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 3))) (* 42 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 2) 1 1 1 (pow (* 120 (* 1/120 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 3))) (* -35 (/ (* 1 1 (pow (* 6 (* 1/6 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1) (pow (* 24 (* 1/24 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* -21 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1) 1 1 (pow (* 120 (* 1/120 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* -7 (/ (* (pow (* 1 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x)))))) 1) 1 1 1 1 (pow (* 720 (* 1/720 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 (* 1/5040 (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))))) 1)) (pow (exp (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) 1)))) 5040) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 x)) (- (/ (cos (/ 1 x)) (sin (/ 1 x))))) into (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (log (exp (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) * [misc]backup-simplify: Simplify (log (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x)))))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (log (exp (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) (/ 1 (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) * [misc]backup-simplify: Simplify (log (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x)))))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) into (- (/ (cos (/ -1 x)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 3)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 3))) (* -3 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 4)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 4))) (* 12 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* -4 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) 1 (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) (+ (* (/ (pow -1 5) 120)) (* (/ (pow -1 3) 6) (/ (pow 0 1) 1)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 2) 2)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/120 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 5)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 5))) (* -60 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 3) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 4))) (* 30 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 3))) (* 20 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2) 1 (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* -5 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) 1 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 (* -1/120 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) (+ (* (/ (pow -1 6) 720)) (* (/ (pow -1 4) 24) (/ (pow 0 1) 1)) (* (/ (pow -1 3) 6) (/ (pow 0 1) 1)) (* (/ (pow -1 2) 2) (/ (pow 0 2) 2)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 6)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 6))) (* 360 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 4) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 5))) (* -270 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 4))) (* -120 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 3) 1 (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 3)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 3))) (* 120 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 3))) (* 30 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2) 1 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* -6 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) 1 1 1 (pow (* 120 (* -1/120 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (* 1/720 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) (+ (* (/ (pow -1 7) 5040)) (* (/ (pow -1 5) 120) (/ (pow 0 1) 1)) (* (/ (pow -1 4) 24) (/ (pow 0 1) 1)) (* (/ (pow -1 3) 6) (/ (pow 0 2) 2)) (* (/ (pow -1 3) 6) (/ (pow 0 1) 1)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 2) 2)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/5040 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x)))))) * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 7)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 7))) (* -2520 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 5) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 6))) (* 2520 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 3) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 5))) (* 840 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 4) 1 (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 5))) (* -630 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 3)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 4))) (* -1260 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 4))) (* -210 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 3) 1 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 4))) (* 210 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2) (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 3))) (* 140 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) 1 (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 3))) (* 210 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) 1 (pow (* 24 (* 1/24 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 3))) (* 42 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 2) 1 1 1 (pow (* 120 (* -1/120 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 3))) (* -35 (/ (* 1 1 (pow (* 6 (* -1/6 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) (pow (* 24 (* 1/24 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* -21 (/ (* 1 (pow (* 2 (* 1/2 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) 1 1 (pow (* 120 (* -1/120 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* -7 (/ (* (pow (* 1 (* -1 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1) 1 1 1 1 (pow (* 720 (* 1/720 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 (* -1/5040 (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))))) 1)) (pow (exp (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) 1)))) 5040) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- x))) (- (/ (cos (/ -1 x)) (sin (/ -1 x))))) into (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ 1 (tan x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/3 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/3 1)) (* -1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 * [misc]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 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2/15 1)) (* 0 (/ 0 1)) (* -1/3 (/ 1/3 1)) (* 0 (/ 0 1)))) into -1/45 * [misc]backup-simplify: Simplify -1/45 into -1/45 * [misc]backup-simplify: Simplify (+ (* -1/45 (pow x 3)) (+ (* -1/3 x) (* 1 (/ 1 x)))) into (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x))) * [misc]approximate: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ 1 x)) (sin (/ 1 x))) (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (/ 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 x)) (sin (/ 1 x))) into (/ (cos (/ 1 x)) (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (/ (cos (/ -1 x)) (sin (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (cos (/ -1 x)) (sin (/ -1 x))) (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 (/ 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 x)) (sin (/ -1 x))) into (/ (cos (/ -1 x)) (sin (/ -1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (+ (* 1/45 (pow x 3)) (+ (* 2/945 (pow x 5)) (* 1/3 x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (+ (+ (* (cube x) 1/45) (* (pow x 5) 2/945)) (* 1/3 x)) * * * * [misc]progress: [ 2 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * * * [misc]progress: [ 3 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * * * [misc]progress: [ 4 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/45 (pow x 3)) (+ (* 2/945 (pow x 5)) (* 1/3 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (* 2/945 (pow x 5)) (+ (* (sqr x) (* x 1/45)) (* 1/3 x))) * * * * [misc]progress: [ 5 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * * * [misc]progress: [ 6 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * * * [misc]progress: [ 7 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (- (/ 1 x) (- (/ 1 x) (+ (* 1/45 (pow x 3)) (* 1/3 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (+ (* 1/45 (cube x)) (* 1/3 x)) * * * * [misc]progress: [ 8 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ 1 x)) (sin (/ 1 x)))) * * * * [misc]progress: [ 9 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (cos (/ -1 x)) (sin (/ -1 x)))) * * * * [misc]progress: [ 10 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 x)) (exp (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 11 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (log (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 13 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 14 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (cbrt (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 15 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cube (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (cube (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 16 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 17 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (tan x)) (* x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (tan x) x) * [exit]simplify: Simplified to (- (tan x) x) * [enter]simplify: Simplifying (* x (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (* (tan x) x) * [exit]simplify: Simplified to (* (tan x) x) * * * * [misc]progress: [ 18 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 x) 3) (pow (/ 1 (tan x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (/ 1 (cube x)) (/ 1 (cube (tan x)))) * [exit]simplify: Simplified to (- (/ 1 (cube x)) (/ 1 (cube (tan x)))) * [enter]simplify: Simplifying (+ (sqr (/ 1 x)) (+ (sqr (/ 1 (tan x))) (* (/ 1 x) (/ 1 (tan x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 1 x) (tan x)) (/ 1 (sqr x))) (/ 1 (* (tan x) (tan x)))) * [exit]simplify: Simplified to (+ (+ (/ (/ 1 x) (tan x)) (/ 1 (sqr x))) (/ 1 (* (tan x) (tan x)))) * * * * [misc]progress: [ 19 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- 1) (tan x)) * [exit]simplify: Simplified to (/ (- 1) (tan x)) * * * * [misc]progress: [ 20 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (/ 1 x)) (sqr (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 x) x) (* (/ 1 (tan x)) (/ 1 (tan x)))) * [exit]simplify: Simplified to (- (/ (/ 1 x) x) (* (/ 1 (tan x)) (/ 1 (tan x)))) * [enter]simplify: Simplifying (+ (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 (tan x)) (/ 1 x)) * [exit]simplify: Simplified to (+ (/ 1 (tan x)) (/ 1 x)) * * * * [misc]progress: [ 22 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 x)) (sqrt (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (tan x))) (sqrt (/ 1 x))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (tan x))) (sqrt (/ 1 x))) * [enter]simplify: Simplifying (- (sqrt (/ 1 x)) (sqrt (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 x)) (sqrt (/ 1 (tan x)))) * [exit]simplify: Simplified to (- (sqrt (/ 1 x)) (sqrt (/ 1 (tan x)))) * * * * [misc]progress: [ 23 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * * * * [misc]progress: [ 24 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * * * * [misc]progress: [ 25 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * * * * [misc]progress: [ 26 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * * * * [misc]progress: [ 27 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (log (exp (- (/ 1 (tan x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (- 1) (tan x)) * [exit]simplify: Simplified to (/ (- 1) (tan x)) * * * * [misc]progress: [ 28 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (exp (- (/ 1 x) (/ 1 (tan x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * * * * [misc]progress: [ 29 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (log (exp (/ 1 (tan x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (tan x)) * [exit]simplify: Simplified to (/ 1 (tan x)) * * * * [misc]progress: [ 30 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (- (/ 1 x) (/ 1 (tan x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * * * * [misc]progress: [ 31 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 32 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (+ (sqrt (/ 1 x)) (sqrt (/ 1 (tan x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 x)) (sqrt (/ 1 (tan x)))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 x)) (sqrt (/ 1 (tan x)))) * * * * [misc]progress: [ 33 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 34 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 35 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 36 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 37 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (exp (- (/ 1 x) (/ 1 (tan x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (log (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 39 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (exp (- (/ 1 x) (/ 1 (tan x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (exp (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 40 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (exp (- (/ 1 x) (/ 1 (tan x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (cbrt (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 41 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (exp (- (/ 1 x) (/ 1 (tan x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cube (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (cube (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 42 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (exp (- (/ 1 x) (/ 1 (tan x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ 1 (tan x)))) * * * * [misc]progress: [ 43 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 45 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (log (tan x))) * [exit]simplify: Simplified to (- (log (tan x))) * * * * [misc]progress: [ 48 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (log (tan x))) * [exit]simplify: Simplified to (- (log (tan x))) * * * * [misc]progress: [ 49 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (/ 1 (tan x))) * [exit]simplify: Simplified to (exp (/ 1 (tan x))) * * * * [misc]progress: [ 50 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (tan x))) * [exit]simplify: Simplified to (cbrt (/ 1 (tan x))) * * * * [misc]progress: [ 51 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ 1 (cube (tan x))) * [exit]simplify: Simplified to (/ 1 (cube (tan x))) * * * * [misc]progress: [ 52 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (tan x))) * [exit]simplify: Simplified to (sqrt (/ 1 (tan x))) * * * * [misc]progress: [ 53 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (tan x)) * [exit]simplify: Simplified to (- (tan x)) * * * * [misc]progress: [ 54 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (tan x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (tan x)) * [exit]simplify: Simplified to (/ 1 (tan x)) * * * * [misc]progress: [ 56 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (tan x) 1) * [exit]simplify: Simplified to (/ (tan x) 1) * * * * [misc]progress: [ 57 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 58 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 x -6.667433711053936e-08) #s(sp 1 x 1183236732512159.2) #s(sp 0 x +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 x -6.667433711053936e-08)) (#s(sp 1 x 1183236732512159.2) . #s(sp 0 x +inf.0))) * [misc]splitpoints: intervals are: ((#s(sp 0 x -6.667433711053936e-08) . #s(sp 1 x 1183236732512159.2))) * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * [enter]simplify: Simplifying (sqrt (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ 1 (tan x)))) * [enter]simplify: Simplifying (+ (* 1/45 (pow x 3)) (+ (* 2/945 (pow x 5)) (* 1/3 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (* 2/945 (pow x 5)) (+ (* (sqr x) (* x 1/45)) (* 1/3 x))) * [enter]simplify: Simplifying (- (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [enter]simplify: Simplifying (cbrt (/ 1 (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sin x))) * [exit]simplify: Simplified to (cbrt (/ 1 (sin x))) * [enter]simplify: Simplifying (- (/ 1 x) (/ 1 (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [exit]simplify: Simplified to (- (/ 1 x) (/ 1 (tan x))) * [enter]simplify: Simplifying (exp (/ 1 (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (/ 1 (tan x))) * [exit]simplify: Simplified to (exp (/ 1 (tan x))) * [enter]simplify: Simplifying (cube (- (/ 1 x) (/ 1 (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cube (- (/ 1 x) (/ 1 (tan x)))) * [exit]simplify: Simplified to (cube (- (/ 1 x) (/ 1 (tan x)))) * [enter]simplify: Simplifying (/ 1 (cube x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (/ 1 (cube x)) * [exit]simplify: Simplified to (/ 1 (cube x)) * [enter]simplify: Simplifying (/ 1 (cube (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ 1 (cube (tan x))) * [exit]simplify: Simplified to (/ 1 (cube (tan x))) * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [exit]simplify: Simplified to (tan x) * [enter]simplify: Simplifying (+ (* 1/45 (pow x 3)) (+ (* 2/945 (pow x 5)) (* 1/3 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (* 2/945 (pow x 5)) (+ (* (sqr x) (* x 1/45)) (* 1/3 x))) * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [exit]simplify: Simplified to (tan x)