* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (/ (- x (sin x)) (- x (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (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 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x * [misc]taylor: Taking taylor expansion of (- x (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 (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 (- x (tan 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 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 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 (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [misc]backup-simplify: Simplify (/ 1/6 -1/3) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (- x (sin x)) (- x (tan x))) in x * [misc]taylor: Taking taylor expansion of (- x (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 (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 (- x (tan 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 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 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 (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [misc]backup-simplify: Simplify (/ 1/6 -1/3) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)))) 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 (- 1/120) into -1/120 * [misc]backup-simplify: Simplify (+ 0 -1/120) into -1/120 * [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 (- 2/15) into -2/15 * [misc]backup-simplify: Simplify (+ 0 -2/15) into -2/15 * [misc]backup-simplify: Simplify (- (/ -1/120 -1/3) (+ (* -1/2 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 9/40 * [misc]backup-simplify: Simplify 9/40 into 9/40 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1/3) (+ (* -1/2 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 9/40 (/ 0 -1/3)))) into 0 * [misc]backup-simplify: Simplify 0 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 (- (- 1/5040)) into 1/5040 * [misc]backup-simplify: Simplify (+ 0 1/5040) into 1/5040 * [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 (- 17/315) into -17/315 * [misc]backup-simplify: Simplify (+ 0 -17/315) into -17/315 * [misc]backup-simplify: Simplify (- (/ 1/5040 -1/3) (+ (* -1/2 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 9/40 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into -27/2800 * [misc]backup-simplify: Simplify -27/2800 into -27/2800 * [misc]backup-simplify: Simplify (+ (* -27/2800 (pow x 4)) (+ (* 9/40 (sqr x)) -1/2)) into (- (* 9/40 (sqr x)) (+ (* 27/2800 (pow x 4)) 1/2)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (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]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 (- (/ 1 x) (tan (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (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]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 (- (/ 1 x) (tan (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (- (sin (/ 1 x))) 1) (+ (* 1 (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 (- (+ (* 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)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (/ (sqr (sin (/ 1 x))) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (/ (sqr (sin (/ 1 x))) (cos (/ 1 x)))) into (- (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (/ (sqr (sin (/ 1 x))) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (/ (sqr (sin (/ 1 x))) (cos (/ 1 x)))) (sqr (/ 1 x))) (+ (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) (/ 1 x)) 1)) into (- (+ (/ (sqr (sin (/ 1 x))) (* (sqr (cos (/ 1 x))) (sqr x))) (+ 1 (/ (sin (/ 1 x)) (* (cos (/ 1 x)) x)))) (+ (/ (sqr (sin (/ 1 x))) (* (cos (/ 1 x)) (sqr x))) (/ (sin (/ 1 x)) x))) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (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]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 (- (/ 1 (- x)) (tan (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (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]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 (- (/ 1 (- x)) (tan (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ -1 x)))) into (- (sin (/ -1 x))) * [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 (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (- (sin (/ -1 x))) -1) (+ (* 1 (/ (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) -1)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 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 (/ 0 -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) 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 (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 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 -1) (+ (* 1 (/ 0 -1)) (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (/ (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) -1)))) into (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))) (/ (sqr (sin (/ -1 x))) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))) (/ (sqr (sin (/ -1 x))) (cos (/ -1 x)))) into (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))) (/ (sqr (sin (/ -1 x))) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))) (/ (sqr (sin (/ -1 x))) (cos (/ -1 x)))) (sqr (/ 1 (- x)))) (+ (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (/ 1 (- x))) 1)) into (- (+ (/ (sin (/ -1 x)) (* (cos (/ -1 x)) x)) (+ 1 (/ (sqr (sin (/ -1 x))) (* (sqr (cos (/ -1 x))) (sqr x))))) (+ (/ (sqr (sin (/ -1 x))) (* (cos (/ -1 x)) (sqr x))) (/ (sin (/ -1 x)) x))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- x (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- x (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 (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 (- x (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 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 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 (+ 0 (* 1 (/ (pow 0 1) 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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 1/120) into -1/120 * [misc]backup-simplify: Simplify (+ 0 -1/120) into -1/120 * [misc]backup-simplify: Simplify -1/120 into -1/120 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- (- 1/5040)) into 1/5040 * [misc]backup-simplify: Simplify (+ 0 1/5040) into 1/5040 * [misc]backup-simplify: Simplify 1/5040 into 1/5040 * [misc]backup-simplify: Simplify (+ (* 1/5040 (pow x 7)) (+ (* -1/120 (pow x 5)) (* 1/6 (pow x 3)))) into (- (+ (* 1/6 (pow x 3)) (* 1/5040 (pow x 7))) (* 1/120 (pow x 5))) * [misc]approximate: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (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]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 (- (/ 1 x) (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]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 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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)) (* 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 (- 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 (- 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 (- 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)) (* 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 (+ (- (sin (/ 1 x))) (* 1 (/ 1 (/ 1 x)))) into (- x (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- x)) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (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]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 (- (/ 1 (- x)) (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]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 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 (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ -1 x)))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 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 (/ 0 -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 (- 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 (- 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 (- 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 (- 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 (- 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 (- 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)) (* 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 (+ (- (sin (/ -1 x))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (sin (/ -1 x))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- x (tan x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- x (tan 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 (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]taylor: Taking taylor expansion of (- x (tan 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 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 1/3) 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 2/15) into -2/15 * [misc]backup-simplify: Simplify (+ 0 -2/15) into -2/15 * [misc]backup-simplify: Simplify -2/15 into -2/15 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- 17/315) into -17/315 * [misc]backup-simplify: Simplify (+ 0 -17/315) into -17/315 * [misc]backup-simplify: Simplify -17/315 into -17/315 * [misc]backup-simplify: Simplify (+ (* -17/315 (pow x 7)) (+ (* -2/15 (pow x 5)) (* -1/3 (pow x 3)))) into (- (+ (* 1/3 (pow x 3)) (+ (* 2/15 (pow x 5)) (* 17/315 (pow x 7))))) * [misc]approximate: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (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 (/ 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)))))) 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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 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 (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 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 (/ 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)))))) 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- 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)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 9/40 (sqr x)) (+ (* 27/2800 (pow x 4)) 1/2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- (- (* 9/40 (sqr x)) (* 27/2800 (pow x 4))) 1/2) * * * * [misc]progress: [ 2 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (sqr (sin (/ 1 x))) (* (sqr (cos (/ 1 x))) (sqr x))) (+ 1 (/ (sin (/ 1 x)) (* (cos (/ 1 x)) x)))) (+ (/ (sqr (sin (/ 1 x))) (* (cos (/ 1 x)) (sqr x))) (/ (sin (/ 1 x)) x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (+ 1 (* (+ 1 (/ (/ (sin (/ 1 x)) (cos (/ 1 x))) x)) (- (/ (/ (sin (/ 1 x)) (cos (/ 1 x))) x) (/ (sin (/ 1 x)) x)))) * * * * [misc]progress: [ 3 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (sin (/ -1 x)) (* (cos (/ -1 x)) x)) (+ 1 (/ (sqr (sin (/ -1 x))) (* (sqr (cos (/ -1 x))) (sqr x))))) (+ (/ (sqr (sin (/ -1 x))) (* (cos (/ -1 x)) (sqr x))) (/ (sin (/ -1 x)) x))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (+ (* (+ (/ (sin (/ -1 x)) (* x (cos (/ -1 x)))) 1) (- (/ (sin (/ -1 x)) (* x (cos (/ -1 x)))) (/ (sin (/ -1 x)) x))) 1) * * * * [misc]progress: [ 4 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/6 (pow x 3)) (* 1/5040 (pow x 7))) (* 1/120 (pow x 5))) (- x (tan x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (+ (- (* (* x 1/6) (sqr x)) (* (pow x 5) 1/120)) (* 1/5040 (pow x 7))) (- x (tan x))) * * * * [misc]progress: [ 5 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (sin (/ 1 x))) (- x (tan x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- x (sin (/ 1 x))) (- x (tan x))) * * * * [misc]progress: [ 6 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (sin (/ -1 x))) (- x (tan x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (- x (sin (/ -1 x))) (- x (tan x))) * * * * [misc]progress: [ 7 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (sin x)) (- (+ (* 1/3 (pow x 3)) (+ (* 2/15 (pow x 5)) (* 17/315 (pow x 7)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (+ (+ (* (- 1/3) (cube x)) (* (pow x 7) (- 17/315))) (* (pow x 5) (- 2/15)))) * * * * [misc]progress: [ 8 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (sin x)) (- x (/ (sin (/ 1 x)) (cos (/ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (/ (sin (/ 1 x)) (cos (/ 1 x))))) * * * * [misc]progress: [ 9 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (sin x)) (- x (/ (sin (/ -1 x)) (cos (/ -1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (/ (sin (/ -1 x)) (cos (/ -1 x))))) * * * * [misc]progress: [ 10 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- x (sin x))) (log (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (- (log (- x (sin x))) (log (- x (tan x)))) * [exit]simplify: Simplified to (- (log (- x (sin x))) (log (- x (tan x)))) * * * * [misc]progress: [ 12 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- x (sin x)) (- x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (/ (- x (sin x)) (- x (tan x)))) * [exit]simplify: Simplified to (log (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 13 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- x (sin x)) (- x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (/ (- x (sin x)) (- x (tan x)))) * [exit]simplify: Simplified to (exp (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 14 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (- x (sin x))) (cube (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (cube (/ (- x (sin x)) (- x (tan x)))) * [exit]simplify: Simplified to (cube (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 15 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- x (sin x)) (- x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (- x (sin x)) (- x (tan x)))) * [exit]simplify: Simplified to (cbrt (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 16 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- x (sin x)) (- x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (cube (/ (- x (sin x)) (- x (tan x)))) * [exit]simplify: Simplified to (cube (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 17 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * * * * [misc]progress: [ 18 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- x (sin x)) (- x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (- x (sin x)) (- x (tan x)))) * [exit]simplify: Simplified to (sqrt (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 19 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * * * * [misc]progress: [ 20 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- x (sin x))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (- (- x (sin x))) * [exit]simplify: Simplified to (- (- x (sin x))) * [enter]simplify: Simplifying (- (- x (tan x))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (- (- x (tan x))) * [exit]simplify: Simplified to (- (- x (tan x))) * * * * [misc]progress: [ 21 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- x (tan x))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ x (- x (tan x))) * [exit]simplify: Simplified to (/ x (- x (tan x))) * [enter]simplify: Simplifying (/ (sin x) (- x (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (sin x) (- x (tan x))) * [exit]simplify: Simplified to (/ (sin x) (- x (tan x))) * * * * [misc]progress: [ 22 / 51 ] 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 * [enter]simplify: Simplifying (/ (- x (sin x)) (- x (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (tan x))) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (tan x))) * * * * [misc]progress: [ 23 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- x (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- x (tan x))) * [exit]simplify: Simplified to (/ 1 (- x (tan x))) * * * * [misc]progress: [ 25 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (tan x)) (- x (sin x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- x (tan x)) (- x (sin x))) * [exit]simplify: Simplified to (/ (- x (tan x)) (- x (sin x))) * * * * [misc]progress: [ 26 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (sin x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) 1) * [exit]simplify: Simplified to (/ (- x (sin x)) 1) * * * * [misc]progress: [ 27 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (tan x)) (- x (sin x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (- x (tan x)) (- x (sin x))) * [exit]simplify: Simplified to (/ (- x (tan x)) (- x (sin x))) * * * * [misc]progress: [ 28 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (sin x)) (- (pow x 3) (pow (tan x) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- (cube x) (cube (tan x)))) * [exit]simplify: Simplified to (/ (- x (sin x)) (- (cube x) (cube (tan x)))) * * * * [misc]progress: [ 29 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (sin x)) (- (sqr x) (sqr (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (- x (sin x)) (+ (tan x) x)) (- x (tan x))) * [exit]simplify: Simplified to (/ (/ (- x (sin x)) (+ (tan x) x)) (- x (tan x))) * * * * [misc]progress: [ 30 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (tan x)) (+ (sqr x) (+ (sqr (sin x)) (* x (sin x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (+ (* x x) (* (+ (sin x) x) (sin x))) (- x (tan x))) * [exit]simplify: Simplified to (* (+ (* x x) (* (+ (sin x) x) (sin x))) (- x (tan x))) * * * * [misc]progress: [ 31 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (tan x)) (+ x (sin x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (- x (tan x)) (+ x (sin x))) * [exit]simplify: Simplified to (* (- x (tan x)) (+ x (sin x))) * * * * [misc]progress: [ 32 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log (- x (sin x))) * [exit]simplify: Simplified to (log (- x (sin x))) * * * * [misc]progress: [ 34 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (- x (sin x))) * [exit]simplify: Simplified to (exp (- x (sin x))) * * * * [misc]progress: [ 35 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- x (sin x))) * [exit]simplify: Simplified to (cbrt (- x (sin x))) * * * * [misc]progress: [ 36 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cube (- x (sin x))) * [exit]simplify: Simplified to (cube (- x (sin x))) * * * * [misc]progress: [ 37 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * * * * [misc]progress: [ 38 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (sin x) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (cube x) (cube (sin x))) * [exit]simplify: Simplified to (- (cube x) (cube (sin x))) * [enter]simplify: Simplifying (+ (sqr x) (+ (sqr (sin x)) (* x (sin x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (sin x)) (sin x))) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (sin x)) (sin x))) * * * * [misc]progress: [ 39 / 51 ] simplifiying candidate # * [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: [ 40 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (- x (sin x)) (+ x (sin x))) * [exit]simplify: Simplified to (* (- x (sin x)) (+ x (sin 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: [ 42 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log (- x (tan x))) * [exit]simplify: Simplified to (log (- x (tan x))) * * * * [misc]progress: [ 44 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (- x (tan x))) * [exit]simplify: Simplified to (exp (- x (tan x))) * * * * [misc]progress: [ 45 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * * * * [misc]progress: [ 46 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cube (- x (tan x))) * [exit]simplify: Simplified to (cube (- x (tan x))) * * * * [misc]progress: [ 47 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * * * * [misc]progress: [ 48 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (tan x) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (cube x) (cube (tan x))) * [exit]simplify: Simplified to (- (cube x) (cube (tan x))) * [enter]simplify: Simplifying (+ (sqr x) (+ (sqr (tan x)) (* x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (tan x)) (tan x))) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (tan x)) (tan x))) * * * * [misc]progress: [ 49 / 51 ] simplifiying candidate # * [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: [ 50 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (- x (tan x)) (+ x (tan x))) * [exit]simplify: Simplified to (* (- x (tan x)) (+ x (tan 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: 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 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (- x (tan x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- x (tan x))) in x * [misc]taylor: Rewrote expression to (pow (- x (tan x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x (tan x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x (tan x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x (tan x))) in x * [misc]taylor: Taking taylor expansion of (- x (tan 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 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [misc]backup-simplify: Simplify (log -1/3) into (log -1/3) * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log -1/3)) into (+ (* 3 (log x)) (log -1/3)) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 3 (log x)) (log -1/3))) into (* 1/3 (+ (* 3 (log x)) (log -1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) into (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) * [misc]taylor: Taking taylor expansion of (cbrt (- x (tan x))) in x * [misc]taylor: Rewrote expression to (pow (- x (tan x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x (tan x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x (tan x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x (tan x))) in x * [misc]taylor: Taking taylor expansion of (- x (tan 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 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [misc]backup-simplify: Simplify (log -1/3) into (log -1/3) * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log -1/3)) into (+ (* 3 (log x)) (log -1/3)) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 3 (log x)) (log -1/3))) into (* 1/3 (+ (* 3 (log x)) (log -1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) into (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) into (exp (* 1/3 (+ (* 3 (log x)) (log -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/3 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log -1/3)) into (+ (* 3 (log x)) (log -1/3)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 3 (log x)) (log -1/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) (+ (* (/ (pow 0 1) 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 (- 2/15) into -2/15 * [misc]backup-simplify: Simplify (+ 0 -2/15) into -2/15 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/3 2))) (* 1 (/ (* 1 (pow (* 2 -2/15) 1)) (pow -1/3 1)))) 2) into 2/5 * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log -1/3)) into (+ (* 3 (log x)) (log -1/3)) * [misc]backup-simplify: Simplify (+ (* 1/3 2/5) (+ (* 0 0) (* 0 (+ (* 3 (log x)) (log -1/3))))) into 2/15 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 2/15 1) 1)))) into (* 2/15 (exp (* 1/3 (+ (* 3 (log x)) (log -1/3))))) * [misc]backup-simplify: Simplify (* 2/15 (exp (* 1/3 (+ (* 3 (log x)) (log -1/3))))) into (* 2/15 (exp (* 1/3 (+ (* 3 (log x)) (log -1/3))))) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/3 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -2/15) 1)) (pow -1/3 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/3 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log -1/3)) into (+ (* 3 (log x)) (log -1/3)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 2/5) (+ (* 0 0) (* 0 (+ (* 3 (log x)) (log -1/3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 2/15 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 (- 17/315) into -17/315 * [misc]backup-simplify: Simplify (+ 0 -17/315) into -17/315 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1/3 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -2/15) 1)) (pow -1/3 3))) (* -3 (/ (* 1 (pow (* 2 -2/15) 2)) (pow -1/3 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1/3 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -17/315) 1)) (pow -1/3 1)))) 24) into 43/525 * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log -1/3)) into (+ (* 3 (log x)) (log -1/3)) * [misc]backup-simplify: Simplify (+ (* 1/3 43/525) (+ (* 0 0) (+ (* 0 2/5) (+ (* 0 0) (* 0 (+ (* 3 (log x)) (log -1/3))))))) into 43/1575 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 2/15 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 2/15 2) 2)) (* (/ (pow 43/1575 1) 1)))) into (* 19/525 (exp (* 1/3 (+ (* 3 (log x)) (log -1/3))))) * [misc]backup-simplify: Simplify (* 19/525 (exp (* 1/3 (+ (* 3 (log x)) (log -1/3))))) into (* 19/525 (exp (* 1/3 (+ (* 3 (log x)) (log -1/3))))) * [misc]backup-simplify: Simplify (+ (* (* 19/525 (exp (* 1/3 (+ (* 3 (log x)) (log -1/3))))) (pow x 4)) (+ (* (* 2/15 (exp (* 1/3 (+ (* 3 (log x)) (log -1/3))))) (sqr x)) (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))))) into (+ (* 19/525 (* (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) (pow x 4))) (+ (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) (* 2/15 (* (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) (sqr x))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 x) (tan (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 x) (tan (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) (tan (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) (tan (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) (tan (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 x) (tan (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) (tan (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) (tan (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) (tan (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (pow x -1/3) into (pow x -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) 1)) (pow 1 1)))) 1) into (* -1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (- (log x)))) into (- (* 1/3 (/ (sin (/ 1 x)) (cos (/ 1 x))))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- (* 1/3 (/ (sin (/ 1 x)) (cos (/ 1 x))))) 1) 1)))) into (* -1/3 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (* -1/3 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (pow (/ 1 x) 1/3))) into (* -1/3 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (pow (/ 1 x) 1/3))) * [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)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))))) (+ (* 0 (* -1 (/ (sin (/ 1 x)) (cos (/ 1 x))))) (* 0 (- (log x))))) into (- (* 1/6 (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- (* 1/3 (/ (sin (/ 1 x)) (cos (/ 1 x))))) 2) 2)) (* (/ (pow (- (* 1/6 (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))))) 1) 1)))) into (* -1/9 (* (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (* -1/9 (* (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (pow (/ 1 x) 1/3))) into (* -1/9 (* (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (* (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (pow (/ 1 x) 1/3))) (sqr (/ 1 x))) (+ (* (* -1/3 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (pow (/ 1 x) 1/3))) (/ 1 x)) (pow x -1/3))) into (- (pow x -1/3) (+ (* 1/9 (* (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (pow (/ 1 (pow x 7)) 1/3))) (* 1/3 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (pow (/ 1 (pow x 4)) 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- x)) (tan (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) (tan (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) (tan (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) (tan (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) (tan (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) (tan (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) (tan (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) (tan (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) (tan (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [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 (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) 1)) (pow -1 1)))) 1) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ (sin (/ -1 x)) (cos (/ -1 x)))) (* 0 (- (log -1) (log x)))) into (* 1/3 (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (* 1/3 (/ (sin (/ -1 x)) (cos (/ -1 x)))) 1) 1)))) into (* 1/3 (/ (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log x))))) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (* 1/3 (/ (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log x))))) (cos (/ -1 x)))) into (* 1/3 (/ (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log x))))) (cos (/ -1 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 (/ 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)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (* -1/2 (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))))) (+ (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))) (* 0 (- (log -1) (log x))))) into (- (* 1/6 (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (* 1/3 (/ (sin (/ -1 x)) (cos (/ -1 x)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))))) 1) 1)))) into (* -1/9 (/ (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x))))) (sqr (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (* -1/9 (/ (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x))))) (sqr (cos (/ -1 x))))) into (* -1/9 (/ (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x))))) (sqr (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (/ (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x))))) (sqr (cos (/ -1 x))))) (sqr (/ 1 (- x)))) (+ (* (* 1/3 (/ (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log x))))) (cos (/ -1 x)))) (/ 1 (- x))) (exp (* 1/3 (- (log -1) (log x)))))) into (- (exp (* 1/3 (- (log -1) (log x)))) (+ (* 1/3 (/ (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log x))))) (* (cos (/ -1 x)) x))) (* 1/9 (/ (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x))))) (* (sqr (cos (/ -1 x))) (sqr x)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (- x (sin x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- x (sin x))) in x * [misc]taylor: Rewrote expression to (pow (- x (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x (sin x))) in x * [misc]taylor: Taking taylor expansion of (- x (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 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 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 (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (log 1/6) into (log 1/6) * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log 1/6)) into (+ (* 3 (log x)) (log 1/6)) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 3 (log x)) (log 1/6))) into (* 1/3 (+ (* 3 (log x)) (log 1/6))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) into (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) * [misc]taylor: Taking taylor expansion of (cbrt (- x (sin x))) in x * [misc]taylor: Rewrote expression to (pow (- x (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- x (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- x (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- x (sin x))) in x * [misc]taylor: Taking taylor expansion of (- x (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 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 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 (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (log 1/6) into (log 1/6) * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log 1/6)) into (+ (* 3 (log x)) (log 1/6)) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 3 (log x)) (log 1/6))) into (* 1/3 (+ (* 3 (log x)) (log 1/6))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) into (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) into (exp (* 1/3 (+ (* 3 (log x)) (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/6 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log 1/6)) into (+ (* 3 (log x)) (log 1/6)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 3 (log x)) (log 1/6)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) (+ (* (/ (pow 0 1) 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 (- 1/120) into -1/120 * [misc]backup-simplify: Simplify (+ 0 -1/120) into -1/120 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/6 2))) (* 1 (/ (* 1 (pow (* 2 -1/120) 1)) (pow 1/6 1)))) 2) into -1/20 * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log 1/6)) into (+ (* 3 (log x)) (log 1/6)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/20) (+ (* 0 0) (* 0 (+ (* 3 (log x)) (log 1/6))))) into (- 1/60) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/60) 1) 1)))) into (* -1/60 (exp (* 1/3 (+ (* 3 (log x)) (log 1/6))))) * [misc]backup-simplify: Simplify (* -1/60 (exp (* 1/3 (+ (* 3 (log x)) (log 1/6))))) into (* -1/60 (exp (* 1/3 (+ (* 3 (log x)) (log 1/6))))) * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/6 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/120) 1)) (pow 1/6 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/6 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log 1/6)) into (+ (* 3 (log x)) (log 1/6)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/20) (+ (* 0 0) (* 0 (+ (* 3 (log x)) (log 1/6)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/60) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 (- (- 1/5040)) into 1/5040 * [misc]backup-simplify: Simplify (+ 0 1/5040) into 1/5040 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/6 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/120) 1)) (pow 1/6 3))) (* -3 (/ (* 1 (pow (* 2 -1/120) 2)) (pow 1/6 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/6 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/5040) 1)) (pow 1/6 1)))) 24) into -1/16800 * [misc]backup-simplify: Simplify (+ (* (- -3) (log x)) (log 1/6)) into (+ (* 3 (log x)) (log 1/6)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/16800) (+ (* 0 0) (+ (* 0 -1/20) (+ (* 0 0) (* 0 (+ (* 3 (log x)) (log 1/6))))))) into (- 1/50400) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/60) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/60) 2) 2)) (* (/ (pow (- 1/50400) 1) 1)))) into (* 1/8400 (exp (* 1/3 (+ (* 3 (log x)) (log 1/6))))) * [misc]backup-simplify: Simplify (* 1/8400 (exp (* 1/3 (+ (* 3 (log x)) (log 1/6))))) into (* 1/8400 (exp (* 1/3 (+ (* 3 (log x)) (log 1/6))))) * [misc]backup-simplify: Simplify (+ (* (* 1/8400 (exp (* 1/3 (+ (* 3 (log x)) (log 1/6))))) (pow x 4)) (+ (* (* -1/60 (exp (* 1/3 (+ (* 3 (log x)) (log 1/6))))) (sqr x)) (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))))) into (- (+ (* 1/8400 (* (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) (pow x 4))) (exp (* 1/3 (+ (* 3 (log x)) (log 1/6))))) (* 1/60 (* (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) (sqr x)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 x) (sin (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 x) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (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]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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 x) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 x) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 x) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 x) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (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]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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (pow x -1/3) into (pow x -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (sin (/ 1 x)))) 1)) (pow 1 1)))) 1) into (* -1 (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1 (sin (/ 1 x)))) (* 0 (- (log x)))) into (- (* 1/3 (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- (* 1/3 (sin (/ 1 x)))) 1) 1)))) into (* -1/3 (* (sin (/ 1 x)) (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (* -1/3 (* (sin (/ 1 x)) (pow (/ 1 x) 1/3))) into (* -1/3 (* (sin (/ 1 x)) (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 (/ (+ (* -1 (/ (* (pow (* 1 (- (sin (/ 1 x)))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (sqr (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (sqr (sin (/ 1 x))))) (+ (* 0 (* -1 (sin (/ 1 x)))) (* 0 (- (log x))))) into (- (* 1/6 (sqr (sin (/ 1 x))))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow (- (* 1/3 (sin (/ 1 x)))) 2) 2)) (* (/ (pow (- (* 1/6 (sqr (sin (/ 1 x))))) 1) 1)))) into (* -1/9 (* (sqr (sin (/ 1 x))) (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (* -1/9 (* (sqr (sin (/ 1 x))) (pow (/ 1 x) 1/3))) into (* -1/9 (* (sqr (sin (/ 1 x))) (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (* (sqr (sin (/ 1 x))) (pow (/ 1 x) 1/3))) (sqr (/ 1 x))) (+ (* (* -1/3 (* (sin (/ 1 x)) (pow (/ 1 x) 1/3))) (/ 1 x)) (pow x -1/3))) into (- (pow x -1/3) (+ (* 1/9 (* (sqr (sin (/ 1 x))) (pow (/ 1 (pow x 7)) 1/3))) (* 1/3 (* (sin (/ 1 x)) (pow (/ 1 (pow x 4)) 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- x)) (sin (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (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]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 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- x)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- x)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- x)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- x)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- x)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (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]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 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [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 (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ -1 x)))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (sin (/ -1 x)))) 1)) (pow -1 1)))) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (sin (/ -1 x))) (* 0 (- (log -1) (log x)))) into (* 1/3 (sin (/ -1 x))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (* 1/3 (sin (/ -1 x))) 1) 1)))) into (* 1/3 (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (* 1/3 (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log x)))))) into (* 1/3 (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log 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 (/ 0 -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 (/ (+ (* -1 (/ (* (pow (* 1 (- (sin (/ -1 x)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (* -1/2 (sqr (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (sqr (sin (/ -1 x))))) (+ (* 0 (sin (/ -1 x))) (* 0 (- (log -1) (log x))))) into (- (* 1/6 (sqr (sin (/ -1 x))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (* 1/3 (sin (/ -1 x))) 2) 2)) (* (/ (pow (- (* 1/6 (sqr (sin (/ -1 x))))) 1) 1)))) into (* -1/9 (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (* -1/9 (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x)))))) into (* -1/9 (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x)))))) (sqr (/ 1 (- x)))) (+ (* (* 1/3 (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log x)))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1) (log x)))))) into (- (exp (* 1/3 (- (log -1) (log x)))) (+ (* 1/3 (/ (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log x))))) x)) (* 1/9 (/ (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x))))) (sqr x))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (- x (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- x (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 (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 (- x (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 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 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 (+ 0 (* 1 (/ (pow 0 1) 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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 1/120) into -1/120 * [misc]backup-simplify: Simplify (+ 0 -1/120) into -1/120 * [misc]backup-simplify: Simplify -1/120 into -1/120 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- (- 1/5040)) into 1/5040 * [misc]backup-simplify: Simplify (+ 0 1/5040) into 1/5040 * [misc]backup-simplify: Simplify 1/5040 into 1/5040 * [misc]backup-simplify: Simplify (+ (* 1/5040 (pow x 7)) (+ (* -1/120 (pow x 5)) (* 1/6 (pow x 3)))) into (- (+ (* 1/6 (pow x 3)) (* 1/5040 (pow x 7))) (* 1/120 (pow x 5))) * [misc]approximate: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (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]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 (- (/ 1 x) (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]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 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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)) (* 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 (- 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 (- 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 (- 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)) (* 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 (+ (- (sin (/ 1 x))) (* 1 (/ 1 (/ 1 x)))) into (- x (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- x)) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (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]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 (- (/ 1 (- x)) (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]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 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 (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ -1 x)))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 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 (/ 0 -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 (- 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 (- 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 (- 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 (- 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 (- 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 (- 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)) (* 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 (+ (- (sin (/ -1 x))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (sin (/ -1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (- x (tan x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- x (tan 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 (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]taylor: Taking taylor expansion of (- x (tan 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 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 1/3) 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 2/15) into -2/15 * [misc]backup-simplify: Simplify (+ 0 -2/15) into -2/15 * [misc]backup-simplify: Simplify -2/15 into -2/15 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- 17/315) into -17/315 * [misc]backup-simplify: Simplify (+ 0 -17/315) into -17/315 * [misc]backup-simplify: Simplify -17/315 into -17/315 * [misc]backup-simplify: Simplify (+ (* -17/315 (pow x 7)) (+ (* -2/15 (pow x 5)) (* -1/3 (pow x 3)))) into (- (+ (* 1/3 (pow x 3)) (+ (* 2/15 (pow x 5)) (* 17/315 (pow x 7))))) * [misc]approximate: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (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 (/ 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)))))) 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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 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 (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 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 (/ 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)))))) 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- 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)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- x (sin x))) (+ (* 19/525 (* (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) (pow x 4))) (+ (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) (* 2/15 (* (exp (* 1/3 (+ (* 3 (log x)) (log -1/3)))) (sqr x))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (cube (+ (cbrt (* (cube x) -1/3)) (* (cbrt (* (cube x) -1/3)) (+ (* (pow x 4) 19/525) (* x (* x 2/15))))))) * * * * [misc]progress: [ 2 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- x (sin x))) (- (pow x -1/3) (+ (* 1/9 (* (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (pow (/ 1 (pow x 7)) 1/3))) (* 1/3 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (pow (/ 1 (pow x 4)) 1/3))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (/ (- x (sin x)) (- (- (pow x -1/3) (* (* (/ 1/9 (cos (/ 1 x))) (cbrt (/ 1 (pow x 7)))) (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))))) (* (cbrt (/ 1 (pow x 4))) (/ (sin (/ 1 x)) (/ (cos (/ 1 x)) 1/3))))) (* (- (- (pow x -1/3) (* (* (/ 1/9 (cos (/ 1 x))) (cbrt (/ 1 (pow x 7)))) (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))))) (* (cbrt (/ 1 (pow x 4))) (/ (sin (/ 1 x)) (/ (cos (/ 1 x)) 1/3)))) (- (- (pow x -1/3) (* (* (/ 1/9 (cos (/ 1 x))) (cbrt (/ 1 (pow x 7)))) (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))))) (* (cbrt (/ 1 (pow x 4))) (/ (sin (/ 1 x)) (/ (cos (/ 1 x)) 1/3)))))) * * * * [misc]progress: [ 3 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- x (sin x))) (- (exp (* 1/3 (- (log -1) (log x)))) (+ (* 1/3 (/ (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log x))))) (* (cos (/ -1 x)) x))) (* 1/9 (/ (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x))))) (* (sqr (cos (/ -1 x))) (sqr x)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (cube (- (pow (exp 1/3) (- (log -1) (log x))) (+ (* (/ 1/3 x) (/ (pow (exp 1/3) (- (log -1) (log x))) (/ (cos (/ -1 x)) (sin (/ -1 x))))) (* (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (/ (pow (exp 1/3) (- (log -1) (log x))) (/ (* x x) 1/9))))))) * * * * [misc]progress: [ 4 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- (+ (* 1/8400 (* (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) (pow x 4))) (exp (* 1/3 (+ (* 3 (log x)) (log 1/6))))) (* 1/60 (* (exp (* 1/3 (+ (* 3 (log x)) (log 1/6)))) (sqr x)))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (cube (+ (cbrt (* (cube x) 1/6)) (* (- (* 1/8400 (pow x 4)) (* x (* x 1/60))) (cbrt (* (cube x) 1/6))))) (- x (tan x))) * * * * [misc]progress: [ 5 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- (pow x -1/3) (+ (* 1/9 (* (sqr (sin (/ 1 x))) (pow (/ 1 (pow x 7)) 1/3))) (* 1/3 (* (sin (/ 1 x)) (pow (/ 1 (pow x 4)) 1/3))))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (cube (- (/ (pow x -1/3) (cbrt (- x (tan x)))) (* (/ (sin (/ 1 x)) (cbrt (- x (tan x)))) (+ (* (cbrt (/ 1 (pow x 4))) 1/3) (* (cbrt (/ 1 (pow x 7))) (* 1/9 (sin (/ 1 x)))))))) * * * * [misc]progress: [ 6 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- (exp (* 1/3 (- (log -1) (log x)))) (+ (* 1/3 (/ (* (sin (/ -1 x)) (exp (* 1/3 (- (log -1) (log x))))) x)) (* 1/9 (/ (* (sqr (sin (/ -1 x))) (exp (* 1/3 (- (log -1) (log x))))) (sqr x))))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (/ (cube (- (pow (exp 1/3) (- (log -1) (log x))) (* (* (pow (exp 1/3) (- (log -1) (log x))) (/ (sin (/ -1 x)) x)) (+ (/ (sin (/ -1 x)) (/ x 1/9)) 1/3)))) (- x (tan x))) * * * * [misc]progress: [ 7 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (+ (* 1/6 (pow x 3)) (* 1/5040 (pow x 7))) (* 1/120 (pow x 5)))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (- (+ (* (* x 1/6) (sqr x)) (* 1/5040 (pow x 7))) (* (pow x 5) 1/120)) (- x (tan x))) * * * * [misc]progress: [ 8 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- x (sin (/ 1 x)))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (- x (sin (/ 1 x))) (- x (tan x))) * * * * [misc]progress: [ 9 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- x (sin (/ -1 x)))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (- x (sin (/ -1 x))) (- x (tan x))) * * * * [misc]progress: [ 10 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- x (sin x))) (cbrt (- (+ (* 1/3 (pow x 3)) (+ (* 2/15 (pow x 5)) (* 17/315 (pow x 7)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (+ (+ (* (pow x 5) (- 2/15)) (* (- 17/315) (pow x 7))) (* (- 1/3) (cube x)))) * * * * [misc]progress: [ 11 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- x (sin x))) (cbrt (- x (/ (sin (/ 1 x)) (cos (/ 1 x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (/ (sin (/ 1 x)) (cos (/ 1 x))))) * * * * [misc]progress: [ 12 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- x (sin x))) (cbrt (- x (/ (sin (/ -1 x)) (cos (/ -1 x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (/ (sin (/ -1 x)) (cos (/ -1 x))))) * * * * [misc]progress: [ 13 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (log (cbrt (- x (tan x)))) * [exit]simplify: Simplified to (log (cbrt (- x (tan x)))) * * * * [misc]progress: [ 16 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (exp (cbrt (- x (tan x)))) * [exit]simplify: Simplified to (exp (cbrt (- x (tan x)))) * * * * [misc]progress: [ 17 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * * * * [misc]progress: [ 18 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow x 3) (pow (tan x) 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (cbrt (- (cube x) (cube (tan x)))) * [exit]simplify: Simplified to (cbrt (- (cube x) (cube (tan x)))) * [enter]simplify: Simplifying (cbrt (+ (sqr x) (+ (sqr (tan x)) (* x (tan x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (+ (* x x) (* (+ x (tan x)) (tan x)))) * [exit]simplify: Simplified to (cbrt (+ (* x x) (* (+ x (tan x)) (tan x)))) * * * * [misc]progress: [ 19 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr x) (sqr (tan x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (+ x (tan x)) (- x (tan x)))) * [exit]simplify: Simplified to (cbrt (* (+ x (tan x)) (- x (tan x)))) * [enter]simplify: Simplifying (cbrt (+ x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ (tan x) x)) * [exit]simplify: Simplified to (cbrt (+ (tan x) x)) * * * * [misc]progress: [ 20 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- x (tan x)))) * [exit]simplify: Simplified to (cbrt (cbrt (- x (tan x)))) * * * * [misc]progress: [ 21 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- x (tan x)) * [exit]simplify: Simplified to (- x (tan x)) * * * * [misc]progress: [ 22 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- x (tan x)))) * [exit]simplify: Simplified to (sqrt (cbrt (- x (tan x)))) * * * * [misc]progress: [ 23 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (log (cbrt (- x (sin x)))) * [exit]simplify: Simplified to (log (cbrt (- x (sin x)))) * * * * [misc]progress: [ 27 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (exp (cbrt (- x (sin x)))) * [exit]simplify: Simplified to (exp (cbrt (- x (sin x)))) * * * * [misc]progress: [ 28 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- x (sin x))) * [exit]simplify: Simplified to (cbrt (- x (sin x))) * * * * [misc]progress: [ 29 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow x 3) (pow (sin x) 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (cbrt (- (cube x) (cube (sin x)))) * [exit]simplify: Simplified to (cbrt (- (cube x) (cube (sin x)))) * [enter]simplify: Simplifying (cbrt (+ (sqr x) (+ (sqr (sin x)) (* x (sin x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (+ (* x x) (* (+ x (sin x)) (sin x)))) * [exit]simplify: Simplified to (cbrt (+ (* x x) (* (+ x (sin x)) (sin x)))) * * * * [misc]progress: [ 30 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr x) (sqr (sin x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (+ x (sin x)) (- x (sin x)))) * [exit]simplify: Simplified to (cbrt (* (+ x (sin x)) (- x (sin x)))) * [enter]simplify: Simplifying (cbrt (+ x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ (sin x) x)) * [exit]simplify: Simplified to (cbrt (+ (sin x) x)) * * * * [misc]progress: [ 31 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- x (sin x)))) * [exit]simplify: Simplified to (cbrt (cbrt (- x (sin x)))) * * * * [misc]progress: [ 32 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [exit]simplify: Simplified to (- x (sin x)) * * * * [misc]progress: [ 33 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- x (sin x)))) * [exit]simplify: Simplified to (sqrt (cbrt (- x (sin x)))) * * * * [misc]progress: [ 34 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log (- x (sin x))) * [exit]simplify: Simplified to (log (- x (sin x))) * * * * [misc]progress: [ 37 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (- x (sin x))) * [exit]simplify: Simplified to (exp (- x (sin x))) * * * * [misc]progress: [ 38 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- x (sin x))) * [exit]simplify: Simplified to (cbrt (- x (sin x))) * * * * [misc]progress: [ 39 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cube (- x (sin x))) * [exit]simplify: Simplified to (cube (- x (sin x))) * * * * [misc]progress: [ 40 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * * * * [misc]progress: [ 41 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (sin x) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (cube x) (cube (sin x))) * [exit]simplify: Simplified to (- (cube x) (cube (sin x))) * [enter]simplify: Simplifying (+ (sqr x) (+ (sqr (sin x)) (* x (sin x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (sin x)) (sin x))) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (sin x)) (sin x))) * * * * [misc]progress: [ 42 / 54 ] simplifiying candidate # * [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: [ 43 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (- x (sin x)) (+ x (sin x))) * [exit]simplify: Simplified to (* (- x (sin x)) (+ x (sin 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: [ 45 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log (- x (tan x))) * [exit]simplify: Simplified to (log (- x (tan x))) * * * * [misc]progress: [ 47 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (- x (tan x))) * [exit]simplify: Simplified to (exp (- x (tan x))) * * * * [misc]progress: [ 48 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * * * * [misc]progress: [ 49 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cube (- x (tan x))) * [exit]simplify: Simplified to (cube (- x (tan x))) * * * * [misc]progress: [ 50 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * * * * [misc]progress: [ 51 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (tan x) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (cube x) (cube (tan x))) * [exit]simplify: Simplified to (- (cube x) (cube (tan x))) * [enter]simplify: Simplifying (+ (sqr x) (+ (sqr (tan x)) (* x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (tan x)) (tan x))) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (tan x)) (tan x))) * * * * [misc]progress: [ 52 / 54 ] simplifiying candidate # * [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: [ 53 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (- x (tan x)) (+ x (tan x))) * [exit]simplify: Simplified to (* (- x (tan x)) (+ x (tan 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: 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 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (- x (sin x)) (/ 1 (- x (tan x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (- x (sin x)) (/ 1 (- x (tan x)))) in x * [misc]taylor: Taking taylor expansion of (- x (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 (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 (/ 1 (- x (tan x))) in x * [misc]taylor: Taking taylor expansion of (- x (tan 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 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [misc]backup-simplify: Simplify (/ 1 -1/3) into -3 * [misc]taylor: Taking taylor expansion of (* (- x (sin x)) (/ 1 (- x (tan x)))) in x * [misc]taylor: Taking taylor expansion of (- x (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 (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 (/ 1 (- x (tan x))) in x * [misc]taylor: Taking taylor expansion of (- x (tan 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 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [misc]backup-simplify: Simplify (/ 1 -1/3) into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 -3) into 0 * [misc]backup-simplify: Simplify 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -3 (/ 0 -1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 -3)) 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 (- 2/15) into -2/15 * [misc]backup-simplify: Simplify (+ 0 -2/15) into -2/15 * [misc]backup-simplify: Simplify (- (+ (* -3 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 6/5 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 6/5) (+ (* 0 0) (* 0 -3))) into 0 * [misc]backup-simplify: Simplify 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -3 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 6/5 (/ 0 -1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 6/5) (+ (* 0 0) (* 1/6 -3)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (- 17/315) into -17/315 * [misc]backup-simplify: Simplify (+ 0 -17/315) into -17/315 * [misc]backup-simplify: Simplify (- (+ (* -3 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 6/5 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 1/175 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/175) (+ (* 0 0) (+ (* 0 6/5) (+ (* 1/6 0) (* 0 -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 6) 720) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 3) 6)) 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 1) 1) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 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 (/ (- 1/720) 1)) (* 1/3 (/ 0 1)) (* 0 (/ 1/24 1)) (* 2/15 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 17/315 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -3 (/ 0 -1/3)) (* 0 (/ -17/315 -1/3)) (* 6/5 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 1/175 (/ 0 -1/3)))) 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 (- 1/120) into -1/120 * [misc]backup-simplify: Simplify (+ 0 -1/120) into -1/120 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/175) (+ (* 0 0) (+ (* 1/6 6/5) (+ (* 0 0) (* -1/120 -3)))))) into 9/40 * [misc]backup-simplify: Simplify 9/40 into 9/40 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 9) 362880)) 0 (* -1 (/ (pow 1 6) 720) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 5) 120) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 2) 2)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 1) 1) (/ (pow 0 4) 24)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/362880 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 8) 40320)) 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 4) 24)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/40320 * [misc]backup-simplify: Simplify (- (/ 1/362880 1) (+ (* 1 (/ 1/40320 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/720) 1)) (* 0 (/ 0 1)) (* 2/15 (/ 1/24 1)) (* 0 (/ 0 1)) (* 17/315 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 62/2835 * [misc]backup-simplify: Simplify (- 62/2835) into -62/2835 * [misc]backup-simplify: Simplify (+ 0 -62/2835) into -62/2835 * [misc]backup-simplify: Simplify (- (+ (* -3 (/ -62/2835 -1/3)) (* 0 (/ 0 -1/3)) (* 6/5 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 1/175 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 2/7875 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 2/7875) (+ (* 0 0) (+ (* 0 1/175) (+ (* 1/6 0) (+ (* 0 6/5) (+ (* -1/120 0) (* 0 -3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 8) 40320) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 6) 720) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 4) 24) (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (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 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 0 5) 120)) 0 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 7) 5040) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 3) 6) (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 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 (/ 1/40320 1)) (* 1/3 (/ 0 1)) (* 0 (/ (- 1/720) 1)) (* 2/15 (/ 0 1)) (* 0 (/ 1/24 1)) (* 17/315 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 62/2835 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -3 (/ 0 -1/3)) (* 0 (/ -62/2835 -1/3)) (* 6/5 (/ 0 -1/3)) (* 0 (/ -17/315 -1/3)) (* 1/175 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 2/7875 (/ 0 -1/3)))) 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 (- (- 1/5040)) into 1/5040 * [misc]backup-simplify: Simplify (+ 0 1/5040) into 1/5040 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 2/7875) (+ (* 0 0) (+ (* 1/6 1/175) (+ (* 0 0) (+ (* -1/120 6/5) (+ (* 0 0) (* 1/5040 -3)))))))) into -27/2800 * [misc]backup-simplify: Simplify -27/2800 into -27/2800 * [misc]backup-simplify: Simplify (+ (* -27/2800 (pow x 4)) (+ (* 9/40 (sqr x)) -1/2)) into (- (* 9/40 (sqr x)) (+ (* 27/2800 (pow x 4)) 1/2)) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 x) (sin (/ 1 x))) (/ 1 (- (/ 1 x) (tan (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 x) (sin (/ 1 x))) (/ 1 (- (/ 1 x) (tan (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (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]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 (/ 1 (- (/ 1 x) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 x) (sin (/ 1 x))) (/ 1 (- (/ 1 x) (tan (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (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]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 (/ 1 (- (/ 1 x) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* (- (sin (/ 1 x))) 1)) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) * [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)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 (+ (* 1 (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x))))) (+ (* (- (sin (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 0 1))) into (- (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (/ (sqr (sin (/ 1 x))) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (/ (sqr (sin (/ 1 x))) (cos (/ 1 x)))) into (- (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (/ (sqr (sin (/ 1 x))) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (/ (sqr (sin (/ 1 x))) (cos (/ 1 x)))) (sqr (/ 1 x))) (+ (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) (/ 1 x)) 1)) into (- (+ (/ (sqr (sin (/ 1 x))) (* (sqr (cos (/ 1 x))) (sqr x))) (+ 1 (/ (sin (/ 1 x)) (* (cos (/ 1 x)) x)))) (+ (/ (sqr (sin (/ 1 x))) (* (cos (/ 1 x)) (sqr x))) (/ (sin (/ 1 x)) x))) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 (- x)) (sin (/ 1 (- x)))) (/ 1 (- (/ 1 (- x)) (tan (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- x)) (sin (/ 1 (- x)))) (/ 1 (- (/ 1 (- x)) (tan (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (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]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 (/ 1 (- (/ 1 (- x)) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- x)) (sin (/ 1 (- x)))) (/ 1 (- (/ 1 (- x)) (tan (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (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]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 (/ 1 (- (/ 1 (- x)) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) -1)))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [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 (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ -1 x)))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (sin (/ -1 x)) (cos (/ -1 x)))) (* (- (sin (/ -1 x))) -1)) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 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 (/ 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)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) -1)))) into (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 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 (/ 0 -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 (+ (* -1 (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))))) (+ (* (- (sin (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (* 0 -1))) into (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))) (/ (sqr (sin (/ -1 x))) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))) (/ (sqr (sin (/ -1 x))) (cos (/ -1 x)))) into (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))) (/ (sqr (sin (/ -1 x))) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x)))) (/ (sqr (sin (/ -1 x))) (cos (/ -1 x)))) (sqr (/ 1 (- x)))) (+ (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (/ 1 (- x))) 1)) into (- (+ (/ (sin (/ -1 x)) (* (cos (/ -1 x)) x)) (+ 1 (/ (sqr (sin (/ -1 x))) (* (sqr (cos (/ -1 x))) (sqr x))))) (+ (/ (sqr (sin (/ -1 x))) (* (cos (/ -1 x)) (sqr x))) (/ (sin (/ -1 x)) x))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- x (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- x (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 (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 (- x (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 (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 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 (+ 0 (* 1 (/ (pow 0 1) 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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 1/120) into -1/120 * [misc]backup-simplify: Simplify (+ 0 -1/120) into -1/120 * [misc]backup-simplify: Simplify -1/120 into -1/120 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- (- 1/5040)) into 1/5040 * [misc]backup-simplify: Simplify (+ 0 1/5040) into 1/5040 * [misc]backup-simplify: Simplify 1/5040 into 1/5040 * [misc]backup-simplify: Simplify (+ (* 1/5040 (pow x 7)) (+ (* -1/120 (pow x 5)) (* 1/6 (pow x 3)))) into (- (+ (* 1/6 (pow x 3)) (* 1/5040 (pow x 7))) (* 1/120 (pow x 5))) * [misc]approximate: Taking taylor expansion of (- (/ 1 x) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (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]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 (- (/ 1 x) (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]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 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ 1 x)))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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)) (* 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 (- 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 (- 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 (- 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)) (* 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 (+ (- (sin (/ 1 x))) (* 1 (/ 1 (/ 1 x)))) into (- x (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- x)) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (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]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 (- (/ 1 (- x)) (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]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 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 (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (/ -1 x)))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 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 (/ 0 -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 (- 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 (- 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 (- 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 (- 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 (- 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 (- 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)) (* 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 (+ (- (sin (/ -1 x))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (sin (/ -1 x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (- x (tan x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- x (tan 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 (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]taylor: Taking taylor expansion of (- x (tan 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 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 1/3) 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 2/15) into -2/15 * [misc]backup-simplify: Simplify (+ 0 -2/15) into -2/15 * [misc]backup-simplify: Simplify -2/15 into -2/15 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (- 17/315) into -17/315 * [misc]backup-simplify: Simplify (+ 0 -17/315) into -17/315 * [misc]backup-simplify: Simplify -17/315 into -17/315 * [misc]backup-simplify: Simplify (+ (* -17/315 (pow x 7)) (+ (* -2/15 (pow x 5)) (* -1/3 (pow x 3)))) into (- (+ (* 1/3 (pow x 3)) (+ (* 2/15 (pow x 5)) (* 17/315 (pow x 7))))) * [misc]approximate: Taking taylor expansion of (- (/ 1 x) (tan (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (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 (/ 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)))))) 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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 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 (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 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 (/ 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)))))) 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- (/ 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 (- 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 (- 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)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin (/ -1 x)) (cos (/ -1 x)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (- x (tan x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- x (tan x))) in x * [misc]taylor: Taking taylor expansion of (- x (tan 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 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [misc]backup-simplify: Simplify (/ 1 -1/3) into -3 * [misc]taylor: Taking taylor expansion of (/ 1 (- x (tan x))) in x * [misc]taylor: Taking taylor expansion of (- x (tan 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 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [misc]backup-simplify: Simplify (/ 1 -1/3) into -3 * [misc]backup-simplify: Simplify -3 into -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -3 (/ 0 -1/3)))) 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 (- 2/15) into -2/15 * [misc]backup-simplify: Simplify (+ 0 -2/15) into -2/15 * [misc]backup-simplify: Simplify (- (+ (* -3 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 6/5 * [misc]backup-simplify: Simplify 6/5 into 6/5 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -3 (/ 0 -1/3)) (* 0 (/ -2/15 -1/3)) (* 6/5 (/ 0 -1/3)))) into 0 * [misc]backup-simplify: Simplify 0 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 (- 17/315) into -17/315 * [misc]backup-simplify: Simplify (+ 0 -17/315) into -17/315 * [misc]backup-simplify: Simplify (- (+ (* -3 (/ -17/315 -1/3)) (* 0 (/ 0 -1/3)) (* 6/5 (/ -2/15 -1/3)) (* 0 (/ 0 -1/3)))) into 1/175 * [misc]backup-simplify: Simplify 1/175 into 1/175 * [misc]backup-simplify: Simplify (+ (* 1/175 x) (+ (* 6/5 (/ 1 x)) (* -3 (pow (/ 1 x) 3)))) into (- (+ (* 6/5 (/ 1 x)) (* 1/175 x)) (* 3 (/ 1 (pow x 3)))) * [misc]approximate: Taking taylor expansion of (/ 1 (- (/ 1 x) (tan (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (tan (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))))) into (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (/ (sin (/ 1 x)) (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 (/ 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)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (- (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) into (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (/ (sqr (sin (/ 1 x))) (sqr (cos (/ 1 x)))) (pow (/ 1 x) 3)) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (sqr (/ 1 x))) (* 1 (/ 1 x)))) into (+ (/ (sin (/ 1 x)) (* (cos (/ 1 x)) (sqr x))) (+ (/ 1 x) (/ (sqr (sin (/ 1 x))) (* (sqr (cos (/ 1 x))) (pow x 3))))) * [misc]approximate: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) (tan (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (tan (/ 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]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 0) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sin (/ -1 x)) (cos (/ -1 x))))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) -1)))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 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 (/ 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)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (- (/ (sin (/ -1 x)) (cos (/ -1 x)))) -1)))) into (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x))))) into (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (+ (* (- (/ (sqr (sin (/ -1 x))) (sqr (cos (/ -1 x))))) (pow (/ 1 (- x)) 3)) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (sqr (/ 1 (- x)))) (* -1 (/ 1 (- x))))) into (+ (/ 1 x) (+ (/ (sqr (sin (/ -1 x))) (* (sqr (cos (/ -1 x))) (pow x 3))) (/ (sin (/ -1 x)) (* (cos (/ -1 x)) (sqr x))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 9/40 (sqr x)) (+ (* 27/2800 (pow x 4)) 1/2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- (- (* 9/40 (sqr x)) (* 27/2800 (pow x 4))) 1/2) * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (sqr (sin (/ 1 x))) (* (sqr (cos (/ 1 x))) (sqr x))) (+ 1 (/ (sin (/ 1 x)) (* (cos (/ 1 x)) x)))) (+ (/ (sqr (sin (/ 1 x))) (* (cos (/ 1 x)) (sqr x))) (/ (sin (/ 1 x)) x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (+ 1 (* (+ 1 (/ (/ (sin (/ 1 x)) (cos (/ 1 x))) x)) (- (/ (/ (sin (/ 1 x)) (cos (/ 1 x))) x) (/ (sin (/ 1 x)) x)))) * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (sin (/ -1 x)) (* (cos (/ -1 x)) x)) (+ 1 (/ (sqr (sin (/ -1 x))) (* (sqr (cos (/ -1 x))) (sqr x))))) (+ (/ (sqr (sin (/ -1 x))) (* (cos (/ -1 x)) (sqr x))) (/ (sin (/ -1 x)) x))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (+ (* (+ (/ (sin (/ -1 x)) (* x (cos (/ -1 x)))) 1) (- (/ (sin (/ -1 x)) (* x (cos (/ -1 x)))) (/ (sin (/ -1 x)) x))) 1) * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* 1/6 (pow x 3)) (* 1/5040 (pow x 7))) (* 1/120 (pow x 5))) (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (+ (* 1/5040 (pow x 7)) (- (* (cube x) 1/6) (* (pow x 5) 1/120))) (- x (tan x))) * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin (/ 1 x))) (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (- x (sin (/ 1 x))) (- x (tan x))) * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin (/ -1 x))) (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (- x (sin (/ -1 x))) (- x (tan x))) * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) (/ 1 (- (+ (* 1/3 (pow x 3)) (+ (* 2/15 (pow x 5)) (* 17/315 (pow x 7))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (+ (+ (* (- 17/315) (pow x 7)) (* (pow x 5) (- 2/15))) (* (cube x) (- 1/3)))) * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) (/ 1 (- x (/ (sin (/ 1 x)) (cos (/ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (/ (sin (/ 1 x)) (cos (/ 1 x))))) * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) (/ 1 (- x (/ (sin (/ -1 x)) (cos (/ -1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (/ (sin (/ -1 x)) (cos (/ -1 x))))) * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) (- (+ (* 6/5 (/ 1 x)) (* 1/175 x)) (* 3 (/ 1 (pow x 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (- (+ (* 1/175 x) (/ 6/5 x)) (/ (/ 3 x) (* x x))) (- x (sin x))) * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) (+ (/ (sin (/ 1 x)) (* (cos (/ 1 x)) (sqr x))) (+ (/ 1 x) (/ (sqr (sin (/ 1 x))) (* (sqr (cos (/ 1 x))) (pow x 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (+ (* (sqr (/ (sin (/ 1 x)) (cos (/ 1 x)))) (/ (- x (sin x)) (cube x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (- x (sin x)) (* x x))) (/ (- x (sin x)) x))) * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) (+ (/ 1 x) (+ (/ (sqr (sin (/ -1 x))) (* (sqr (cos (/ -1 x))) (pow x 3))) (/ (sin (/ -1 x)) (* (cos (/ -1 x)) (sqr x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (+ (* (/ (- x (sin x)) (cube x)) (sqr (/ (sin (/ -1 x)) (cos (/ -1 x))))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (- x (sin x)) (* x x))) (/ (- x (sin x)) x))) * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (tan x))) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (tan x))) * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- x (sin x))) (- (log (- x (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (- x (sin x))) (- (log (- x (tan x))))) * [exit]simplify: Simplified to (+ (log (- x (sin x))) (- (log (- x (tan x))))) * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- x (sin x))) (log (/ 1 (- x (tan x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (- (log (- x (tan x)))) (log (- x (sin x)))) * [exit]simplify: Simplified to (+ (- (log (- x (tan x)))) (log (- x (sin x)))) * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- x (sin x)) (/ 1 (- x (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (log (/ (- x (sin x)) (- x (tan x)))) * [exit]simplify: Simplified to (log (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- x (sin x)) (/ 1 (- x (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (exp (/ (- x (sin x)) (- x (tan x)))) * [exit]simplify: Simplified to (exp (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (- x (sin x))) (cube (/ 1 (- x (tan x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (cube (- x (sin x))) (cube (- x (tan x)))) * [exit]simplify: Simplified to (/ (cube (- x (sin x))) (cube (- x (tan x)))) * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- x (sin x)) (/ 1 (- x (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (- x (sin x)) (- x (tan x)))) * [exit]simplify: Simplified to (cbrt (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (- x (sin x)) (/ 1 (- x (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (cube (/ (- x (sin x)) (- x (tan x)))) * [exit]simplify: Simplified to (cube (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- x (sin x))) (cbrt (/ 1 (- x (tan x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- x (tan x)))) (cbrt (- x (sin x)))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- x (tan x)))) (cbrt (- x (sin x)))) * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- x (sin x)) (/ 1 (- x (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (/ (- x (sin x)) (- x (tan x)))) * [exit]simplify: Simplified to (sqrt (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- x (sin x))) (sqrt (/ 1 (- x (tan x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (- x (tan x)))) (sqrt (- x (sin x)))) * [exit]simplify: Simplified to (* (sqrt (/ 1 (- x (tan x)))) (sqrt (- x (sin x)))) * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow x 3) (pow (sin x) 3)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (- (cube x) (cube (sin x))) * [exit]simplify: Simplified to (- (cube x) (cube (sin x))) * [enter]simplify: Simplifying (* (+ (sqr x) (+ (sqr (sin x)) (* x (sin x)))) (- x (tan x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (- x (tan x)) (+ (* x x) (* (sin x) (+ x (sin x))))) * [exit]simplify: Simplified to (* (- x (tan x)) (+ (* x x) (* (sin x) (+ x (sin x))))) * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqr x) (sqr (sin x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (+ x (sin x)) (- x (sin x))) * [exit]simplify: Simplified to (* (+ x (sin x)) (- x (sin x))) * [enter]simplify: Simplifying (* (+ x (sin x)) (- x (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (+ (sin x) x) (- x (tan x))) * [exit]simplify: Simplified to (* (+ (sin x) x) (- x (tan x))) * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [exit]simplify: Simplified to (- x (sin x)) * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [exit]simplify: Simplified to (- x (sin x)) * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) (/ 1 (- (pow x 3) (pow (tan x) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- (cube x) (cube (tan x)))) * [exit]simplify: Simplified to (/ (- x (sin x)) (- (cube x) (cube (tan x)))) * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) (/ 1 (- (sqr x) (sqr (tan x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (/ (- x (sin x)) (+ x (tan x))) (- x (tan x))) * [exit]simplify: Simplified to (/ (/ (- x (sin x)) (+ x (tan x))) (- x (tan x))) * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (tan x))) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (tan x))) * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (sin x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [exit]simplify: Simplified to (- x (sin x)) * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow x 3) (pow (sin x) 3)) (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (- (cube x) (cube (sin x))) (- x (tan x))) * [exit]simplify: Simplified to (/ (- (cube x) (cube (sin x))) (- x (tan x))) * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqr x) (sqr (sin x))) (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (* (+ x (sin x)) (- x (sin x))) (- x (tan x))) * [exit]simplify: Simplified to (/ (* (+ x (sin x)) (- x (sin x))) (- x (tan x))) * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log (- x (sin x))) * [exit]simplify: Simplified to (log (- x (sin x))) * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (- x (sin x))) * [exit]simplify: Simplified to (exp (- x (sin x))) * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- x (sin x))) * [exit]simplify: Simplified to (cbrt (- x (sin x))) * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cube (- x (sin x))) * [exit]simplify: Simplified to (cube (- x (sin x))) * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (sin x) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (cube x) (cube (sin x))) * [exit]simplify: Simplified to (- (cube x) (cube (sin x))) * [enter]simplify: Simplifying (+ (sqr x) (+ (sqr (sin x)) (* x (sin x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (sin x)) (sin x))) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (sin x)) (sin x))) * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * [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: [ 46 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (- x (sin x)) (+ x (sin x))) * [exit]simplify: Simplified to (* (- x (sin x)) (+ x (sin 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: [ 48 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log (- x (tan x))) * [exit]simplify: Simplified to (log (- x (tan x))) * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (- x (tan x))) * [exit]simplify: Simplified to (exp (- x (tan x))) * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cube (- x (tan x))) * [exit]simplify: Simplified to (cube (- x (tan x))) * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (tan x) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (cube x) (cube (tan x))) * [exit]simplify: Simplified to (- (cube x) (cube (tan x))) * [enter]simplify: Simplifying (+ (sqr x) (+ (sqr (tan x)) (* x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (tan x)) (tan x))) * [exit]simplify: Simplified to (+ (* x x) (* (+ x (tan x)) (tan x))) * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * [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: [ 56 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr (tan x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (- x (tan x)) (+ x (tan x))) * [exit]simplify: Simplified to (* (- x (tan x)) (+ x (tan 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: [ 58 / 73 ] 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: [ 59 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- x (tan x)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (- (log (- x (tan x)))) * [exit]simplify: Simplified to (- (log (- x (tan x)))) * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (log (- x (tan x)))) * [exit]simplify: Simplified to (- (log (- x (tan x)))) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (/ 1 (- x (tan x)))) * [exit]simplify: Simplified to (exp (/ 1 (- x (tan x)))) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (- x (tan x)))) * [exit]simplify: Simplified to (cbrt (/ 1 (- x (tan x)))) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ 1 (cube (- x (tan x)))) * [exit]simplify: Simplified to (/ 1 (cube (- x (tan x)))) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- x (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- x (tan x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (- x (tan x)))) * * * * [misc]progress: [ 67 / 73 ] 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 (- (- x (tan x))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (- (- x (tan x))) * [exit]simplify: Simplified to (- (- x (tan x))) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- x (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- x (tan x))) * [exit]simplify: Simplified to (/ 1 (- x (tan x))) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (tan x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (- x (tan x)) 1) * [exit]simplify: Simplified to (/ (- x (tan x)) 1) * * * * [misc]progress: [ 71 / 73 ] 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: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (pow x 3) (pow (tan x) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (- (cube x) (cube (tan x)))) * [exit]simplify: Simplified to (/ 1 (- (cube x) (cube (tan x)))) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqr x) (sqr (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ 1 (- (sqr x) (sqr (tan x)))) * [exit]simplify: Simplified to (/ 1 (- (sqr x) (sqr (tan 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 -5.5164922447739564e-14) #s(sp 1 x 0.22138222595296528) #s(sp 0 x +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 x -5.5164922447739564e-14)) (#s(sp 1 x 0.22138222595296528) . #s(sp 0 x +inf.0))) * [misc]splitpoints: intervals are: ((#s(sp 0 x -5.5164922447739564e-14) . #s(sp 1 x 0.22138222595296528))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * [enter]simplify: Simplifying (- (* 9/40 (sqr x)) (+ (* 27/2800 (pow x 4)) 1/2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- (- (* 9/40 (sqr x)) (* 27/2800 (pow x 4))) 1/2) * [enter]simplify: Simplifying (/ 1 (- x (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- x (tan x))) * [exit]simplify: Simplified to (/ 1 (- x (tan x))) * [enter]simplify: Simplifying (exp (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (- x (tan x))) * [exit]simplify: Simplified to (exp (- x (tan x))) * [enter]simplify: Simplifying (- (cube x) (cube (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (cube x) (cube (sin x))) * [exit]simplify: Simplified to (- (cube x) (cube (sin x))) * [enter]simplify: Simplifying (- (* 9/40 (sqr x)) (+ (* 27/2800 (pow x 4)) 1/2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- (- (* 9/40 (sqr x)) (* 27/2800 (pow x 4))) 1/2)