* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (- x (sin x)) (- x (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (tan x))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [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 (pow x 2)) -1/2)) into (- (* 9/40 (pow x 2)) (+ (* 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 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) (/ 1 x)) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 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]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 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sin (/ -1 (/ 1 (- x)))) (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * * * [misc]progress: [ 2 / 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 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin x) (cos 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 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin x) (cos x))) * * * * [misc]progress: [ 3 / 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 (/ 1 x)))) (* 1 (/ 1 (/ 1 x)))) into (- x (sin 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 (/ 1 (- x))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (sin x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- x (sin x))) (log (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (log (- x (sin x))) (log (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (- x (sin x))) (log (- x (tan x)))))) * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- x (sin x)) (- x (sin x))) (- x (sin x))) (* (* (- x (tan x)) (- x (tan x))) (- x (tan x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (pow (/ (- x (sin x)) (- x (tan x))) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3))) * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- x (tan x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ x (- x (tan x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))) * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (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 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))))) * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))))) * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1) * * [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 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (cbrt (- x (sin x))) (- x (tan x))))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (- x (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (- x (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (cbrt (- x (sin x))) (- x (tan x))))) * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))))) * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))))) * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (- x (sin x))) (/ (sqrt (- x (sin x))) (- x (tan x))))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (- x (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (- x (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (- x (sin x))) (/ (sqrt (- x (sin x))) (- x (tan x))))) * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) (/ (- x (sin x)) (cbrt (- x (tan x)))))) * [enter]simplify: Simplifying (/ (- x (sin x)) (cbrt (- x (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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (- x (sin x)) (cbrt (- x (tan x)))))) * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- x (tan x)))) (/ (- x (sin x)) (sqrt (- x (tan x)))))) * [enter]simplify: Simplifying (/ (- x (sin x)) (sqrt (- x (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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- x (tan x)))) (/ (- x (sin x)) (sqrt (- x (tan x)))))) * * * * [misc]progress: [ 21 / 69 ] 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 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (- x (sin x)) (- x (tan x))))) * [enter]simplify: Simplifying (/ (- x (sin x)) (- x (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- x (sin x)) (- x (tan x))))) * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- x (sin x)) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (cbrt (- x (tan x))))) * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- x (sin x)) (sqrt (- x (tan x)))) (sqrt (- x (tan x))))) * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (tan x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- x (sin x)) 1) (- x (tan x)))) * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (- x (tan x)) (cbrt (- x (sin x)))))) * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (- x (sin x))) (/ (- x (tan x)) (sqrt (- x (sin x)))))) * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ x (tan x)) (tan x) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- x (sin x)) (- (pow x 3) (pow (tan x) 3))) (fma (+ x (tan x)) (tan x) (* x x)))) * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * [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) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x)))) (+ (tan x) x))) * * * * [misc]progress: [ 33 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (sin x) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (fma (* (sin x) (sin x)) (- (sin x)) (pow x 3)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fma (* (sin x) (sin x)) (- (sin x)) (pow x 3)) (* (- x (tan x)) (+ (* x x) (+ (* (sin x) (sin x)) (* x (sin x))))))) * * * * [misc]progress: [ 34 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (* x x) (* (sin x) (sin x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (* x x) (* (sin x) (sin x))) (* (- x (tan x)) (+ x (sin x))))) * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (- (* (* 9/40 x) x) (fma (pow x 4) 27/2800 1/2)) * [misc]simplify: Simplified (2) to (λ (x) (- (* (* 9/40 x) x) (fma (pow x 4) 27/2800 1/2))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x))))) * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x))))) * * * * [misc]progress: [ 64 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow x 3)) (+ (* 2/15 (pow x 5)) (* 17/315 (pow x 7))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (- (* (pow x 7) (- 17/315)) (fma x (* (* 1/3 x) x) (* (pow x 5) 2/15))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (- x (sin x)) (- (* (pow x 7) (- 17/315)) (fma x (* (* 1/3 x) x) (* (pow x 5) 2/15))))) * * * * [misc]progress: [ 65 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- x (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (- x (sin x)) (- x (/ (sin x) (cos x))))) * * * * [misc]progress: [ 66 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- x (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (- x (sin x)) (- x (/ (sin x) (cos x))))) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/6 (pow x 3)) (* 1/5040 (pow x 7))) (* 1/120 (pow x 5))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (fma (pow x 7) 1/5040 (- (* (* 1/6 x) (* x x)) (* (pow x 5) 1/120))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fma (pow x 7) 1/5040 (- (* (* 1/6 x) (* x x)) (* (pow x 5) 1/120))) (- x (tan x)))) * * * * [misc]progress: [ 68 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 69 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- x (sin x)) (- x (tan x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- x (tan x)) (- x (sin x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- x (tan x)) (- x (sin 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]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 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 (- 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 (/ -1/3 1/6) into -2 * [misc]taylor: Taking taylor expansion of (/ (- x (tan x)) (- x (sin 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]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 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 (- 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 (/ -1/3 1/6) into -2 * [misc]backup-simplify: Simplify -2 into -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 (* -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 (/ (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 1/6) (+ (* -2 (/ 0 1/6)))) 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 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 (- (/ -2/15 1/6) (+ (* -2 (/ -1/120 1/6)) (* 0 (/ 0 1/6)))) into -9/10 * [misc]backup-simplify: Simplify -9/10 into -9/10 * [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 (/ (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 1/6) (+ (* -2 (/ 0 1/6)) (* 0 (/ -1/120 1/6)) (* -9/10 (/ 0 1/6)))) 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 (+ (* -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 (- (/ -17/315 1/6) (+ (* -2 (/ 1/5040 1/6)) (* 0 (/ 0 1/6)) (* -9/10 (/ -1/120 1/6)) (* 0 (/ 0 1/6)))) into -513/1400 * [misc]backup-simplify: Simplify -513/1400 into -513/1400 * [misc]backup-simplify: Simplify (+ (* -513/1400 (pow x 4)) (+ (* -9/10 (pow x 2)) -2)) into (- (+ (* 9/10 (pow x 2)) (+ (* 513/1400 (pow x 4)) 2))) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 x) (tan (/ 1 x))) (- (/ 1 x) (sin (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (tan (/ 1 x))) (- (/ 1 x) (sin (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (tan (/ 1 x))) (- (/ 1 x) (sin (/ 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]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 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 (/ 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)) (cos (/ 1 x)))) 1) (+ (* 1 (/ (- (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 (- (+ (* 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)) (* 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 1) (+ (* 1 (/ 0 1)) (* (- (sin (/ 1 x)) (/ (sin (/ 1 x)) (cos (/ 1 x)))) (/ (- (sin (/ 1 x))) 1)))) into (- (pow (sin (/ 1 x)) 2) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (pow (sin (/ 1 x)) 2) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (pow (sin (/ 1 x)) 2) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (pow (sin (/ 1 (/ 1 x))) 2) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (sin (/ 1 (/ 1 x))) (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (/ 1 x)) 1)) into (- (+ (/ (pow (sin x) 2) (pow x 2)) (+ (/ (sin x) x) 1)) (+ (/ (sin x) (* (cos x) x)) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- x)) (tan (/ 1 (- x)))) (- (/ 1 (- x)) (sin (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (tan (/ 1 (- x)))) (- (/ 1 (- x)) (sin (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (tan (/ 1 (- x)))) (- (/ 1 (- x)) (sin (/ 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]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 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 (- 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)) (cos (/ -1 x)))) -1) (+ (* 1 (/ (- (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 (- 0) into 0 * [misc]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 (- 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 -1) (+ (* 1 (/ 0 -1)) (* (- (/ (sin (/ -1 x)) (cos (/ -1 x))) (sin (/ -1 x))) (/ (- (sin (/ -1 x))) -1)))) into (- (pow (sin (/ -1 x)) 2) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (pow (sin (/ -1 x)) 2) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (pow (sin (/ -1 x)) 2) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (pow (sin (/ -1 (/ 1 (- x)))) 2) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x))))) (sin (/ -1 (/ 1 (- x))))) (/ 1 (- x))) 1)) into (- (+ (/ (pow (sin x) 2) (pow x 2)) (+ (/ (sin x) x) 1)) (+ (/ (sin x) (* (cos x) x)) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 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 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin x) (cos 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 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin x) (cos x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) * [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 (/ 1 x)))) (* 1 (/ 1 (/ 1 x)))) into (- x (sin 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 (/ 1 (- x))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (sin x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- x (tan x)) (- x (sin x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- x (tan x)) (- x (sin x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- x (tan x)) (- x (sin 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]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 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 (- 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 (/ -1/3 1/6) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- x (tan x)) (- x (sin x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- x (tan x)) (- x (sin 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]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 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 (- 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 (/ -1/3 1/6) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) 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 (* -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 (/ (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 1/6) (+ (* -2 (/ 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 0 -2)))) 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 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 (- (/ -2/15 1/6) (+ (* -2 (/ -1/120 1/6)) (* 0 (/ 0 1/6)))) into -9/10 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ -9/10 -2)) (* 0 (/ 0 -2)))) 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 (* 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 (/ (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 1/6) (+ (* -2 (/ 0 1/6)) (* 0 (/ -1/120 1/6)) (* -9/10 (/ 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 0 -2)) (* 0 (/ -9/10 -2)) (* 9/40 (/ 0 -2)))) 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 (+ (* -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 (- (/ -17/315 1/6) (+ (* -2 (/ 1/5040 1/6)) (* 0 (/ 0 1/6)) (* -9/10 (/ -1/120 1/6)) (* 0 (/ 0 1/6)))) into -513/1400 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ -513/1400 -2)) (* 0 (/ 0 -2)) (* 9/40 (/ -9/10 -2)) (* 0 (/ 0 -2)))) into -27/2800 * [misc]backup-simplify: Simplify -27/2800 into -27/2800 * [misc]backup-simplify: Simplify (+ (* -27/2800 (pow x 4)) (+ (* 9/40 (pow x 2)) -1/2)) into (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) (tan (/ 1 x))) (- (/ 1 x) (sin (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) (tan (/ 1 x))) (- (/ 1 x) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (tan (/ 1 x))) (- (/ 1 x) (sin (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) (tan (/ 1 x))) (- (/ 1 x) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) (tan (/ 1 x))) (- (/ 1 x) (sin (/ 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]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 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (/ 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)) (cos (/ 1 x)))) 1) (+ (* 1 (/ (- (sin (/ 1 x))) 1)))) into (- (sin (/ 1 x)) (/ (sin (/ 1 x)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (sin (/ 1 x)) (/ (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 (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)) (* 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 1) (+ (* 1 (/ 0 1)) (* (- (sin (/ 1 x)) (/ (sin (/ 1 x)) (cos (/ 1 x)))) (/ (- (sin (/ 1 x))) 1)))) into (- (pow (sin (/ 1 x)) 2) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (pow (sin (/ 1 x)) 2) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) 1)) (* (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) (/ (- (sin (/ 1 x)) (/ (sin (/ 1 x)) (cos (/ 1 x)))) 1)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) (/ 1 x)) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) (tan (/ 1 (- x)))) (- (/ 1 (- x)) (sin (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) (tan (/ 1 (- x)))) (- (/ 1 (- x)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (tan (/ 1 (- x)))) (- (/ 1 (- x)) (sin (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) (tan (/ 1 (- x)))) (- (/ 1 (- x)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) (tan (/ 1 (- x)))) (- (/ 1 (- x)) (sin (/ 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]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 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) 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 (- 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)) (cos (/ -1 x)))) -1) (+ (* 1 (/ (- (sin (/ -1 x))) -1)))) into (- (/ (sin (/ -1 x)) (cos (/ -1 x))) (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 (- 0) into 0 * [misc]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 -1) (+ (* 1 (/ 0 -1)) (* (- (/ (sin (/ -1 x)) (cos (/ -1 x))) (sin (/ -1 x))) (/ (- (sin (/ -1 x))) -1)))) into (- (pow (sin (/ -1 x)) 2) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (pow (sin (/ -1 x)) 2) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) 1)) (* (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) (/ (- (/ (sin (/ -1 x)) (cos (/ -1 x))) (sin (/ -1 x))) 1)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sin (/ -1 (/ 1 (- x)))) (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- x (tan x))) (log (- x (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (log (- x (tan x))) (log (- x (sin x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (exp (- (log (- x (tan x))) (log (- x (sin x))))))) * * * * [misc]progress: [ 5 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- x (tan x)) (- x (tan x))) (- x (tan x))) (* (* (- x (sin x)) (- x (sin x))) (- x (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (pow (/ (- x (tan x)) (- x (sin x))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (cbrt (pow (/ (- x (tan x)) (- x (sin x))) 3)))) * * * * [misc]progress: [ 8 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- x (sin x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ x (- x (sin x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (- (/ x (- x (sin x))) (/ (tan x) (- x (sin x)))))) * * * * [misc]progress: [ 13 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) (* (cbrt (- x (sin x))) (cbrt (- x (sin 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 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- x (tan x))) (cbrt (- x (sin x)))) (/ (cbrt (- x (tan x))) (cbrt (- x (sin x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (* (/ (cbrt (- x (tan x))) (cbrt (- x (sin x)))) (/ (cbrt (- x (tan x))) (cbrt (- x (sin x))))) (/ (cbrt (- x (tan x))) (cbrt (- x (sin x))))))) * [enter]simplify: Simplifying (/ (cbrt (- x (tan x))) (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (tan x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) (* (cbrt (- x (sin x))) (cbrt (- x (sin x))))) (/ (cbrt (- x (tan x))) (cbrt (- x (sin x))))))) * * * * [misc]progress: [ 14 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) (sqrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) (sqrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) (sqrt (- x (sin x)))) (/ (cbrt (- x (tan x))) (sqrt (- x (sin x))))))) * [enter]simplify: Simplifying (/ (cbrt (- x (tan x))) (sqrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (tan x))) (sqrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) (sqrt (- x (sin x)))) (/ (cbrt (- x (tan x))) (sqrt (- x (sin x))))))) * * * * [misc]progress: [ 15 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) 1) * * [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 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) (/ (cbrt (- x (tan x))) (- x (sin x)))))) * [enter]simplify: Simplifying (/ (cbrt (- x (tan x))) (- x (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (tan x))) (- x (sin x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) (/ (cbrt (- x (tan x))) (- x (sin x)))))) * * * * [misc]progress: [ 16 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (tan x))) (* (cbrt (- x (sin x))) (cbrt (- x (sin x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- x (tan x))) (cbrt (- x (sin x)))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (/ (sqrt (- x (tan x))) (cbrt (- x (sin x)))) (cbrt (- x (sin x)))) (/ (sqrt (- x (tan x))) (cbrt (- x (sin x))))))) * [enter]simplify: Simplifying (/ (sqrt (- x (tan x))) (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (tan x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (sqrt (- x (tan x))) (* (cbrt (- x (sin x))) (cbrt (- x (sin x))))) (/ (sqrt (- x (tan x))) (cbrt (- x (sin x))))))) * * * * [misc]progress: [ 17 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (tan x))) (sqrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (tan x))) (sqrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (sqrt (- x (tan x))) (sqrt (- x (sin x)))) (/ (sqrt (- x (tan x))) (sqrt (- x (sin x))))))) * [enter]simplify: Simplifying (/ (sqrt (- x (tan x))) (sqrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (tan x))) (sqrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (sqrt (- x (tan x))) (sqrt (- x (sin x)))) (/ (sqrt (- x (tan x))) (sqrt (- x (sin x))))))) * * * * [misc]progress: [ 18 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (tan x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (sqrt (- x (tan x))) (/ (sqrt (- x (tan x))) (- x (sin x)))))) * [enter]simplify: Simplifying (/ (sqrt (- x (tan x))) (- x (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (tan x))) (- x (sin x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (sqrt (- x (tan x))) (/ (sqrt (- x (tan x))) (- x (sin x)))))) * * * * [misc]progress: [ 19 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- x (sin x))) (cbrt (- x (sin x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- x (sin x)))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (/ 1 (cbrt (- x (sin x)))) (cbrt (- x (sin x)))) (/ (- x (tan x)) (cbrt (- x (sin x))))))) * [enter]simplify: Simplifying (/ (- x (tan x)) (cbrt (- x (sin 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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (tan x)) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ 1 (* (cbrt (- x (sin x))) (cbrt (- x (sin x))))) (/ (- x (tan x)) (cbrt (- x (sin x))))))) * * * * [misc]progress: [ 20 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ 1 (sqrt (- x (sin x)))) (/ (- x (tan x)) (sqrt (- x (sin x))))))) * [enter]simplify: Simplifying (/ (- x (tan x)) (sqrt (- x (sin 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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (tan x)) (sqrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ 1 (sqrt (- x (sin x)))) (/ (- x (tan x)) (sqrt (- x (sin x))))))) * * * * [misc]progress: [ 21 / 104 ] 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 * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* 1 (/ (- x (tan x)) (- x (sin x)))))) * [enter]simplify: Simplifying (/ (- x (tan x)) (- x (sin x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x (tan x)) (- x (sin x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* 1 (/ (- x (tan x)) (- x (sin x)))))) * * * * [misc]progress: [ 22 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (- x (sin x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (/ (- x (tan x)) (* (cbrt (- x (sin x))) (cbrt (- x (sin x))))) (cbrt (- x (sin x)))))) * * * * [misc]progress: [ 26 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (/ (- x (tan x)) (sqrt (- x (sin x)))) (sqrt (- x (sin x)))))) * * * * [misc]progress: [ 27 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (/ (- x (tan x)) 1) (- x (sin x))))) * * * * [misc]progress: [ 28 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (/ (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) (/ (- x (sin x)) (cbrt (- x (tan x))))))) * * * * [misc]progress: [ 29 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (/ (sqrt (- x (tan x))) (/ (- x (sin x)) (sqrt (- x (tan x))))))) * * * * [misc]progress: [ 30 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* (sin x) (sin x)) (* x (sin x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ x (sin x)) (sin x) (* x x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (- x (tan x)) (- (pow x 3) (pow (sin x) 3))) (fma (+ x (sin x)) (sin x) (* x x))))) * * * * [misc]progress: [ 32 / 104 ] simplifiying candidate # * [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) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (- x (tan x)) (- (* x x) (* (sin x) (sin x)))) (+ (sin x) x)))) * * * * [misc]progress: [ 33 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (tan x) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (fma (* (tan x) (tan x)) (- (tan x)) (pow x 3)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (/ (fma (* (tan x) (tan x)) (- (tan x)) (pow x 3)) (* (- x (sin x)) (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x)))))))) * * * * [misc]progress: [ 34 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* (tan x) (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (* x x) (* (tan x) (tan x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (/ (- (* x x) (* (tan x) (tan x))) (* (- x (sin x)) (+ x (tan x)))))) * * * * [misc]progress: [ 35 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 104 ] 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) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (/ (- x (tan x)) (- x (sin x))) (- 1))) * * * * [misc]progress: [ 65 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- x (tan x)) (- x (sin 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 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (- x (tan x)) (- x (sin x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (* (cbrt (/ (- x (tan x)) (- x (sin x)))) (cbrt (/ (- x (tan x)) (- x (sin x)))))) (cbrt (/ (- x (tan x)) (- x (sin x)))))) * * * * [misc]progress: [ 78 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- x (tan x)) (- x (sin 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 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (- x (tan x)) (- x (sin x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (sqrt (/ (- x (tan x)) (- x (sin x))))) (sqrt (/ (- x (tan x)) (- x (sin x)))))) * * * * [misc]progress: [ 79 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- x (tan x))) (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (tan x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))))) (/ (cbrt (- x (tan x))) (cbrt (- x (sin x)))))) * * * * [misc]progress: [ 80 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- x (tan x))) (sqrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (tan x))) (sqrt (- x (sin x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) (sqrt (- x (sin x))))) (/ (cbrt (- x (tan x))) (sqrt (- x (sin x)))))) * * * * [misc]progress: [ 81 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- x (tan x))) (- x (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (tan x))) (- x (sin x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (* (cbrt (- x (tan x))) (cbrt (- x (tan x)))) 1)) (/ (cbrt (- x (tan x))) (- x (sin x))))) * * * * [misc]progress: [ 82 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (tan x))) (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (tan x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (sqrt (- x (tan x))) (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))))) (/ (sqrt (- x (tan x))) (cbrt (- x (sin x)))))) * * * * [misc]progress: [ 83 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (tan x))) (sqrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (tan x))) (sqrt (- x (sin x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (sqrt (- x (tan x))) (sqrt (- x (sin x))))) (/ (sqrt (- x (tan x))) (sqrt (- x (sin x)))))) * * * * [misc]progress: [ 84 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (tan x))) (- x (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (tan x))) (- x (sin x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (sqrt (- x (tan x))) 1)) (/ (sqrt (- x (tan x))) (- x (sin x))))) * * * * [misc]progress: [ 85 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (tan x)) (cbrt (- x (sin 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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (tan x)) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ 1 (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))))) (/ (- x (tan x)) (cbrt (- x (sin x)))))) * * * * [misc]progress: [ 86 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (tan x)) (sqrt (- x (sin 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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (tan x)) (sqrt (- x (sin x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ 1 (sqrt (- x (sin x))))) (/ (- x (tan x)) (sqrt (- x (sin x)))))) * * * * [misc]progress: [ 87 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (tan x)) (- x (sin x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x (tan x)) (- x (sin x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ 1 1)) (/ (- x (tan x)) (- x (sin x))))) * * * * [misc]progress: [ 88 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (tan x)) (- x (sin x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x (tan x)) (- x (sin x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 1) (/ (- x (tan x)) (- x (sin x))))) * * * * [misc]progress: [ 89 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- x (sin x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- x (sin x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (- x (tan x))) (/ 1 (- x (sin x))))) * * * * [misc]progress: [ 90 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* (sin x) (sin x)) (* x (sin x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ x (sin x)) (sin x) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (- x (tan x)) (- (pow x 3) (pow (sin x) 3)))) (fma (+ x (sin x)) (sin x) (* x x)))) * * * * [misc]progress: [ 91 / 104 ] simplifiying candidate # * [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) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (- x (tan x)) (- (* x x) (* (sin x) (sin x))))) (+ (sin x) x))) * * * * [misc]progress: [ 92 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (- x (tan x))) (- x (sin x)))) * * * * [misc]progress: [ 93 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 9/10 (pow x 2)) (+ (* 513/1400 (pow x 4)) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (- (* (- 513/1400) (pow x 4)) (fma (* x x) 9/10 2)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (- (* (- 513/1400) (pow x 4)) (fma (* x x) 9/10 2)))) * * * * [misc]progress: [ 94 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (pow (sin x) 2) (pow x 2)) (+ (/ (sin x) x) 1)) (+ (/ (sin x) (* (cos x) x)) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (- (+ (fma (/ (sin x) x) (/ (sin x) x) 1) (/ (sin x) x)) (* (+ 1 (/ (sin x) x)) (/ (sin x) (* x (cos x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (- (+ (fma (/ (sin x) x) (/ (sin x) x) 1) (/ (sin x) x)) (* (+ 1 (/ (sin x) x)) (/ (sin x) (* x (cos x))))))) * * * * [misc]progress: [ 95 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (pow (sin x) 2) (pow x 2)) (+ (/ (sin x) x) 1)) (+ (/ (sin x) (* (cos x) x)) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (- (+ (fma (/ (sin x) x) (/ (sin x) x) 1) (/ (sin x) x)) (* (+ 1 (/ (sin x) x)) (/ (sin x) (* x (cos x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (- (+ (fma (/ (sin x) x) (/ (sin x) x) 1) (/ (sin x) x)) (* (+ 1 (/ (sin x) x)) (/ (sin x) (* x (cos x))))))) * * * * [misc]progress: [ 96 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow x 3)) (+ (* 2/15 (pow x 5)) (* 17/315 (pow x 7))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (- (* (pow x 7) (- 17/315)) (fma x (* (* 1/3 x) x) (* (pow x 5) 2/15))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (/ (- (* (pow x 7) (- 17/315)) (fma x (* (* 1/3 x) x) (* (pow x 5) 2/15))) (- x (sin x))))) * * * * [misc]progress: [ 97 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- x (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (/ (- x (/ (sin x) (cos x))) (- x (sin x))))) * * * * [misc]progress: [ 98 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- x (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (/ (- x (/ (sin x) (cos x))) (- x (sin x))))) * * * * [misc]progress: [ 99 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/6 (pow x 3)) (* 1/5040 (pow x 7))) (* 1/120 (pow x 5))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (fma (pow x 7) 1/5040 (- (* (* 1/6 x) (* x x)) (* (pow x 5) 1/120))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (- x (tan x)) (fma (pow x 7) 1/5040 (- (* (* 1/6 x) (* x x)) (* (pow x 5) 1/120)))))) * * * * [misc]progress: [ 100 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (- x (tan x)) (- x (sin x))))) * * * * [misc]progress: [ 101 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (- x (tan x)) (- x (sin x))))) * * * * [misc]progress: [ 102 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (- (* (* 9/40 x) x) (fma (pow x 4) 27/2800 1/2)) * [misc]simplify: Simplified (2) to (λ (x) (- (* (* 9/40 x) x) (fma (pow x 4) 27/2800 1/2))) * * * * [misc]progress: [ 103 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x))))) * * * * [misc]progress: [ 104 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [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 (pow x 2)) -1/2)) into (- (* 9/40 (pow x 2)) (+ (* 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 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) (/ 1 x)) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 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]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 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sin (/ -1 (/ 1 (- x)))) (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 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 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin x) (cos 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 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin x) (cos 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 (/ 1 x)))) (* 1 (/ 1 (/ 1 x)))) into (- x (sin 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 (/ 1 (- x))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (sin x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (/ (- x (sin x)) (- x (tan x))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (- x (sin x)) (- x (tan x))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (- x (sin x)) (- x (tan x))) 3))) 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 (pow (/ (- x (sin x)) (- x (tan x))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (/ (- x (sin x)) (- x (tan x))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (- x (sin x)) (- x (tan x)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (- x (sin x)) (- x (tan x))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (- x (sin x)) (- x (tan x)))) in x * [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 (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (* 3 (log -1/2)) into (* 3 (log -1/2)) * [misc]backup-simplify: Simplify (exp (* 3 (log -1/2))) into (pow -1/2 3) * [misc]backup-simplify: Simplify (log (pow -1/2 3)) into (log (pow -1/2 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow -1/2 3))) into (* 1/3 (log (pow -1/2 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow -1/2 3)))) into (pow (pow -1/2 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (/ (- x (sin x)) (- x (tan x))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (- x (sin x)) (- x (tan x))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (- x (sin x)) (- x (tan x))) 3))) 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 (pow (/ (- x (sin x)) (- x (tan x))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (/ (- x (sin x)) (- x (tan x))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (- x (sin x)) (- x (tan x)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (- x (sin x)) (- x (tan x))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (- x (sin x)) (- x (tan x)))) in x * [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 (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (* 3 (log -1/2)) into (* 3 (log -1/2)) * [misc]backup-simplify: Simplify (exp (* 3 (log -1/2))) into (pow -1/2 3) * [misc]backup-simplify: Simplify (log (pow -1/2 3)) into (log (pow -1/2 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow -1/2 3))) into (* 1/3 (log (pow -1/2 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow -1/2 3)))) into (pow (pow -1/2 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow -1/2 3) 1/3) into (pow (pow -1/2 3) 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) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log -1/2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log -1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow -1/2 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow -1/2 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow -1/2 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 (- 1/120) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 9/40) 1)) (pow -1/2 1)))) 2) into -9/20 * [misc]backup-simplify: Simplify (+ (* 3 -9/20) (+ (* 0 0) (* 0 (log -1/2)))) into -27/20 * [misc]backup-simplify: Simplify (* (exp (* 3 (log -1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -27/20 1) 1)))) into 27/160 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow -1/2 3) 2))) (* 1 (/ (* 1 (pow (* 2 27/160) 1)) (pow (pow -1/2 3) 1)))) 2) into -27/20 * [misc]backup-simplify: Simplify (+ (* 1/3 -27/20) (+ (* 0 0) (* 0 (log (pow -1/2 3))))) into (- 9/20) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow -1/2 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 9/20) 1) 1)))) into (* -9/20 (pow -1/8 1/3)) * [misc]backup-simplify: Simplify (* -9/20 (pow -1/8 1/3)) into (* -9/20 (pow -1/8 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) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 9/40) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 -9/20) (+ (* 0 0) (* 0 (log -1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log -1/2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -27/20 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow -1/2 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 27/160) 1)) (pow (pow -1/2 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow -1/2 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -27/20) (+ (* 0 0) (* 0 (log (pow -1/2 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow -1/2 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 9/20) 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 (+ (* -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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 9/40) 1)) (pow -1/2 3))) (* -3 (/ (* 1 (pow (* 2 9/40) 2)) (pow -1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -27/2800) 1)) (pow -1/2 1)))) 24) into -459/5600 * [misc]backup-simplify: Simplify (+ (* 3 -459/5600) (+ (* 0 0) (+ (* 0 -9/20) (+ (* 0 0) (* 0 (log -1/2)))))) into -1377/5600 * [misc]backup-simplify: Simplify (* (exp (* 3 (log -1/2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -27/20 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -27/20 2) 2)) (* (/ (pow -1377/5600 1) 1)))) into -1863/22400 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow -1/2 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 27/160) 1)) (pow (pow -1/2 3) 3))) (* -3 (/ (* 1 (pow (* 2 27/160) 2)) (pow (pow -1/2 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow -1/2 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -1863/22400) 1)) (pow (pow -1/2 3) 1)))) 24) into -1377/5600 * [misc]backup-simplify: Simplify (+ (* 1/3 -1377/5600) (+ (* 0 0) (+ (* 0 -27/20) (+ (* 0 0) (* 0 (log (pow -1/2 3))))))) into (- 459/5600) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow -1/2 3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 9/20) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 9/20) 2) 2)) (* (/ (pow (- 459/5600) 1) 1)))) into (* 27/1400 (pow -1/8 1/3)) * [misc]backup-simplify: Simplify (* 27/1400 (pow -1/8 1/3)) into (* 27/1400 (pow -1/8 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 27/1400 (pow -1/8 1/3)) (pow x 4)) (+ (* (* -9/20 (pow -1/8 1/3)) (pow x 2)) (pow (pow -1/2 3) 1/3))) into (- (+ (pow (pow -1/2 3) 1/3) (* 27/1400 (* (pow x 4) (pow -1/8 1/3)))) (* 9/20 (* (pow x 2) (pow -1/8 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3))) 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 (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x))))) in x * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))) 1)) (pow 1 1)))) 1) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* 3 (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))) (* 0 0)) into (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x)))) 1) 1)))) into (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x))))) 1)) (pow 1 1)))) 1) into (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x))))) (* 0 0)) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3))) 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 (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 x) (sin (/ 1 x))) (- (/ 1 x) (tan (/ 1 x))))) in x * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))) 1)) (pow 1 1)))) 1) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* 3 (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))) (* 0 0)) into (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x)))) 1) 1)))) into (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x))))) 1)) (pow 1 1)))) 1) into (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x))))) (* 0 0)) into (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) 1) 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 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))) 1)) (pow 1 1)))) 2) into (* 1/2 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (pow (sin (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (pow (sin (/ 1 x)) 2)))) (+ (* 0 (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x)))) (* 0 0))) into (- (* 3/2 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (* 3/2 (pow (sin (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x)))) 2) 2)) (* (/ (pow (- (* 3/2 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (* 3/2 (pow (sin (/ 1 x)) 2))) 1) 1)))) into (- (+ (* 3 (pow (sin (/ 1 x)) 2)) (* 6 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (* 9 (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x))))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 3 (pow (sin (/ 1 x)) 2)) (* 6 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) (* 9 (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))))) 1)) (pow 1 1)))) 2) into (* 1/2 (- (* 3 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (* 3 (pow (sin (/ 1 x)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (* 3 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (* 3 (pow (sin (/ 1 x)) 2))))) (+ (* 0 (- (* 3 (/ (sin (/ 1 x)) (cos (/ 1 x)))) (* 3 (sin (/ 1 x))))) (* 0 0))) into (- (* 1/2 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (* 1/2 (pow (sin (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) 2) 2)) (* (/ (pow (- (* 1/2 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (* 1/2 (pow (sin (/ 1 x)) 2))) 1) 1)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) (/ 1 x)) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3))) 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 (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x)))))) in x * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))) 1)) (pow 1 1)))) 1) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* 3 (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 0)) into (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x))))) 1) 1)))) into (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) 1)) (pow 1 1)))) 1) into (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) (* 0 0)) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3))) 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 (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (- x)) (sin (/ 1 (- x)))) (- (/ 1 (- x)) (tan (/ 1 (- x)))))) in x * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))) 1)) (pow 1 1)))) 1) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* 3 (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 0)) into (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x))))) 1) 1)))) into (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) 1)) (pow 1 1)))) 1) into (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) (* 0 0)) into (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) 1) 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 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))) 1)) (pow 1 1)))) 2) into (* 1/2 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (pow (sin (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (pow (sin (/ -1 x)) 2)))) (+ (* 0 (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x))))) (* 0 0))) into (- (* 3/2 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (* 3/2 (pow (sin (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x))))) 2) 2)) (* (/ (pow (- (* 3/2 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (* 3/2 (pow (sin (/ -1 x)) 2))) 1) 1)))) into (- (+ (* 3 (pow (sin (/ -1 x)) 2)) (* 6 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (* 9 (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 3 (pow (sin (/ -1 x)) 2)) (* 6 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (* 9 (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))))) 1)) (pow 1 1)))) 2) into (* 1/2 (- (* 3 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (* 3 (pow (sin (/ -1 x)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (* 3 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (* 3 (pow (sin (/ -1 x)) 2))))) (+ (* 0 (- (* 3 (sin (/ -1 x))) (* 3 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) (* 0 0))) into (- (* 1/2 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (* 1/2 (pow (sin (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (sin (/ -1 x)) (/ (sin (/ -1 x)) (cos (/ -1 x)))) 2) 2)) (* (/ (pow (- (* 1/2 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (* 1/2 (pow (sin (/ -1 x)) 2))) 1) 1)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sin (/ -1 (/ 1 (- x)))) (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- x (sin x))) (log (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (log (- x (sin x))) (log (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (exp (- (log (- x (sin x))) (log (- x (tan x))))) 3))) * * * * [misc]progress: [ 5 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- x (sin x)) (- x (sin x))) (- x (sin x))) (* (* (- x (tan x)) (- x (tan x))) (- x (tan x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (pow (/ (- x (sin x)) (- x (tan x))) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)) 3))) * * * * [misc]progress: [ 8 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- x (tan x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ x (- x (tan x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x)))) 3))) * * * * [misc]progress: [ 13 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (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 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (* (* (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))) 3))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))) 3))) * * * * [misc]progress: [ 14 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x))))) 3))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x))))) 3))) * * * * [misc]progress: [ 15 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1) * * [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 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (* (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (cbrt (- x (sin x))) (- x (tan x)))) 3))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (- x (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (- x (tan x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (* (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (cbrt (- x (sin x))) (- x (tan x)))) 3))) * * * * [misc]progress: [ 16 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (* (/ (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (cbrt (- x (tan x))))) 3))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (* (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (sqrt (- x (sin x))) (cbrt (- x (tan x))))) 3))) * * * * [misc]progress: [ 17 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (* (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (sqrt (- x (tan x))))) 3))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (* (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (sqrt (- x (tan x))))) 3))) * * * * [misc]progress: [ 18 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (* (sqrt (- x (sin x))) (/ (sqrt (- x (sin x))) (- x (tan x)))) 3))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (- x (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (- x (tan x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (* (sqrt (- x (sin x))) (/ (sqrt (- x (sin x))) (- x (tan x)))) 3))) * * * * [misc]progress: [ 19 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (* (/ (/ 1 (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) (/ (- x (sin x)) (cbrt (- x (tan x))))) 3))) * [enter]simplify: Simplifying (/ (- x (sin x)) (cbrt (- x (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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (* (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (- x (sin x)) (cbrt (- x (tan x))))) 3))) * * * * [misc]progress: [ 20 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (* (/ 1 (sqrt (- x (tan x)))) (/ (- x (sin x)) (sqrt (- x (tan x))))) 3))) * [enter]simplify: Simplifying (/ (- x (sin x)) (sqrt (- x (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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (* (/ 1 (sqrt (- x (tan x)))) (/ (- x (sin x)) (sqrt (- x (tan x))))) 3))) * * * * [misc]progress: [ 21 / 119 ] 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 * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (* 1 (/ (- x (sin x)) (- x (tan x)))) 3))) * [enter]simplify: Simplifying (/ (- x (sin x)) (- x (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (tan x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (* 1 (/ (- x (sin x)) (- x (tan x)))) 3))) * * * * [misc]progress: [ 22 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (/ (/ (- x (sin x)) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (cbrt (- x (tan x)))) 3))) * * * * [misc]progress: [ 26 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (/ (/ (- x (sin x)) (sqrt (- x (tan x)))) (sqrt (- x (tan x)))) 3))) * * * * [misc]progress: [ 27 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (tan x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (/ (/ (- x (sin x)) 1) (- x (tan x))) 3))) * * * * [misc]progress: [ 28 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (- x (tan x)) (cbrt (- x (sin x))))) 3))) * * * * [misc]progress: [ 29 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (/ (sqrt (- x (sin x))) (/ (- x (tan x)) (sqrt (- x (sin x))))) 3))) * * * * [misc]progress: [ 30 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ x (tan x)) (tan x) (* x x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (* (/ (- x (sin x)) (- (pow x 3) (pow (tan x) 3))) (fma (+ x (tan x)) (tan x) (* x x))) 3))) * * * * [misc]progress: [ 32 / 119 ] simplifiying candidate # * [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) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (* (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x)))) (+ (tan x) x)) 3))) * * * * [misc]progress: [ 33 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (sin x) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (fma (* (sin x) (sin x)) (- (sin x)) (pow x 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (/ (fma (* (sin x) (sin x)) (- (sin x)) (pow x 3)) (* (- x (tan x)) (+ (* x x) (+ (* (sin x) (sin x)) (* x (sin x)))))) 3))) * * * * [misc]progress: [ 34 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (* x x) (* (sin x) (sin x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (/ (- (* x x) (* (sin x) (sin x))) (* (- x (tan x)) (+ x (sin x)))) 3))) * * * * [misc]progress: [ 35 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (/ (- x (sin x)) (- x (tan x)))) (cbrt (/ (- x (sin x)) (- x (tan x))))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) (cbrt (pow (cbrt (/ (- x (sin x)) (- x (tan x)))) 3)))) * * * * [misc]progress: [ 68 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (/ (- x (sin x)) (- x (tan x)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (sqrt (/ (- x (sin x)) (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (cbrt (pow (sqrt (/ (- x (sin x)) (- x (tan x)))) 3)))) * * * * [misc]progress: [ 69 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) (cbrt (pow (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 70 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (sin x))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- x (sin x))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x))))) (cbrt (pow (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 71 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (- x (sin x)) (- x (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (* (- x (sin x)) (- x (sin x)))) (cbrt (pow (/ (cbrt (- x (sin x))) (- x (tan x))) 3)))) * * * * [misc]progress: [ 72 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (cbrt (pow (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 73 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) (cbrt (pow (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 74 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (- x (sin x))) 1) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (- x (sin x))) (cbrt (pow (/ (sqrt (- x (sin x))) (- x (tan x))) 3)))) * * * * [misc]progress: [ 75 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (- x (tan x)) (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (/ 1 (* (- x (tan x)) (- x (tan x))))) (cbrt (pow (/ (- x (sin x)) (cbrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 76 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (sqrt (- x (tan x)))) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- x (tan x)))) (cbrt (pow (/ (- x (sin x)) (sqrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 77 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 1) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))) * * * * [misc]progress: [ 78 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt 1) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))) * * * * [misc]progress: [ 79 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- x (sin x)) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- x (sin x)) (cbrt (pow (/ 1 (- x (tan x))) 3)))) * * * * [misc]progress: [ 80 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (- x (sin x)) (- (pow x 3) (pow (tan x) 3))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (fma (* (tan x) (tan x)) (- (tan x)) (pow x 3))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- x (sin x)) (fma (* (tan x) (tan x)) (- (tan x)) (pow x 3))) (cbrt (pow (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x)))) 3)))) * * * * [misc]progress: [ 81 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x)))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (/ (/ (- x (sin x)) (+ x (tan x))) (- x (tan x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- x (sin x)) (+ x (tan x))) (- x (tan x))) (cbrt (pow (+ x (tan x)) 3)))) * * * * [misc]progress: [ 82 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) (cbrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 83 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) (cbrt (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3))))) * * * * [misc]progress: [ 84 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (/ (- x (sin x)) (- x (tan x)))) (cbrt (/ (- x (sin x)) (- x (tan x))))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) (cbrt (pow (cbrt (/ (- x (sin x)) (- x (tan x)))) 3)))) * * * * [misc]progress: [ 85 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (/ (- x (sin x)) (- x (tan x)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (sqrt (/ (- x (sin x)) (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (cbrt (pow (sqrt (/ (- x (sin x)) (- x (tan x)))) 3)))) * * * * [misc]progress: [ 86 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))) (cbrt (pow (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 87 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (sin x))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- x (sin x))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x))))) (cbrt (pow (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 88 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (- x (sin x)) (- x (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (* (- x (sin x)) (- x (sin x)))) (cbrt (pow (/ (cbrt (- x (sin x))) (- x (tan x))) 3)))) * * * * [misc]progress: [ 89 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (cbrt (pow (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 90 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) (cbrt (pow (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 91 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (sqrt (- x (sin x))) 1) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (- x (sin x))) (cbrt (pow (/ (sqrt (- x (sin x))) (- x (tan x))) 3)))) * * * * [misc]progress: [ 92 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (- x (tan x)) (- x (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (/ 1 (* (- x (tan x)) (- x (tan x))))) (cbrt (pow (/ (- x (sin x)) (cbrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 93 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 (sqrt (- x (tan x)))) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- x (tan x)))) (cbrt (pow (/ (- x (sin x)) (sqrt (- x (tan x)))) 3)))) * * * * [misc]progress: [ 94 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ 1 1) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))) * * * * [misc]progress: [ 95 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt 1) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))) * * * * [misc]progress: [ 96 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- x (sin x)) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- x (sin x)) (cbrt (pow (/ 1 (- x (tan x))) 3)))) * * * * [misc]progress: [ 97 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (- x (sin x)) (- (pow x 3) (pow (tan x) 3))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (fma (* (tan x) (tan x)) (- (tan x)) (pow x 3))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- x (sin x)) (fma (* (tan x) (tan x)) (- (tan x)) (pow x 3))) (cbrt (pow (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x)))) 3)))) * * * * [misc]progress: [ 98 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x)))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (/ (/ (- x (sin x)) (+ x (tan x))) (- x (tan x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- x (sin x)) (+ x (tan x))) (- x (tan x))) (cbrt (pow (+ x (tan x)) 3)))) * * * * [misc]progress: [ 99 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- x (sin x)) (- x (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 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (- x (sin x)) (- x (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (/ (- x (sin x)) (- x (tan x)))) (cbrt (* (/ (- x (sin x)) (- x (tan x))) (/ (- x (sin x)) (- x (tan x))))))) * * * * [misc]progress: [ 100 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (/ (- x (sin x)) (- x (tan x))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (/ (- x (sin x)) (- x (tan x))) 3))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (sqrt (pow (/ (- x (sin x)) (- x (tan x))) 3))) (cbrt (sqrt (pow (/ (- x (sin x)) (- x (tan x))) 3))))) * * * * [misc]progress: [ 101 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt 1) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3)))) * * * * [misc]progress: [ 102 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- x (sin x)) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- x (sin x)) (cbrt (pow (- x (tan x)) 3)))) * * * * [misc]progress: [ 103 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]progress: [ 106 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (- (* (* 9/40 x) x) (fma (pow x 4) 27/2800 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (cbrt (pow (- (* (* 9/40 x) x) (fma (pow x 4) 27/2800 1/2)) 3))) * * * * [misc]progress: [ 109 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (cbrt (pow (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) 3))) * * * * [misc]progress: [ 110 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (cbrt (pow (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) 3))) * * * * [misc]progress: [ 111 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow x 3)) (+ (* 2/15 (pow x 5)) (* 17/315 (pow x 7))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (- (* (pow x 7) (- 17/315)) (fma x (* (* 1/3 x) x) (* (pow x 5) 2/15))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (/ (- x (sin x)) (- (* (pow x 7) (- 17/315)) (fma x (* (* 1/3 x) x) (* (pow x 5) 2/15)))) 3))) * * * * [misc]progress: [ 112 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- x (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (/ (sin x) (cos x)))) 3))) * * * * [misc]progress: [ 113 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- x (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (/ (sin x) (cos x)))) 3))) * * * * [misc]progress: [ 114 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/6 (pow x 3)) (* 1/5040 (pow x 7))) (* 1/120 (pow x 5))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (fma (pow x 7) 1/5040 (- (* (* 1/6 x) (* x x)) (* (pow x 5) 1/120))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (/ (fma (pow x 7) 1/5040 (- (* (* 1/6 x) (* x x)) (* (pow x 5) 1/120))) (- x (tan x))) 3))) * * * * [misc]progress: [ 115 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3))) * * * * [misc]progress: [ 116 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (sin x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3))) * * * * [misc]progress: [ 117 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (pow -1/2 3) 1/3) (* 27/1400 (* (pow x 4) (pow -1/8 1/3)))) (* 9/20 (* (pow x 2) (pow -1/8 1/3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (fma (- (* (pow x 4) 27/1400) (* 9/20 (* x x))) (cbrt -1/8) -1/2) * [misc]simplify: Simplified (2) to (λ (x) (fma (- (* (pow x 4) 27/1400) (* 9/20 (* x x))) (cbrt -1/8) -1/2)) * * * * [misc]progress: [ 118 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x))))) * * * * [misc]progress: [ 119 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [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 (pow x 2)) -1/2)) into (- (* 9/40 (pow x 2)) (+ (* 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 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) (/ 1 x)) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 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]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 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sin (/ -1 (/ 1 (- x)))) (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [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 (pow x 2)) -1/2)) into (- (* 9/40 (pow x 2)) (+ (* 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 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x))))) (pow (/ 1 x) 2)) (+ (* (- (/ (sin (/ 1 (/ 1 x))) (cos (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) (/ 1 x)) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 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]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 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (- (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (sin (/ -1 (/ 1 (- x)))) (/ (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) 1)) into (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 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 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin x) (cos 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 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin x) (cos x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 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 (/ 1 x))) (cos (/ 1 (/ 1 x))))) (* 1 (/ 1 (/ 1 x)))) into (- x (/ (sin x) (cos 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 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- x)))))) (* -1 (/ 1 (/ 1 (- x))))) into (- x (/ (sin x) (cos x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- x (sin x))) (log (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (log (- x (sin x))) (log (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (exp (- (log (- x (sin x))) (log (- x (tan x)))))))) * * * * [misc]progress: [ 5 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- x (sin x)) (- x (sin x))) (- x (sin x))) (* (* (- x (tan x)) (- x (tan x))) (- x (tan x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (pow (/ (- x (sin x)) (- x (tan x))) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3))))) * * * * [misc]progress: [ 8 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- x (tan x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ x (- x (tan x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))))) * * * * [misc]progress: [ 13 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (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 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (* (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))))))) * * * * [misc]progress: [ 14 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))))))) * * * * [misc]progress: [ 15 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1) * * [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 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (cbrt (- x (sin x))) (- x (tan x))))))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (- x (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (- x (tan x))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (cbrt (- x (sin x))) (- x (tan x))))))) * * * * [misc]progress: [ 16 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))))))) * * * * [misc]progress: [ 17 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))))))) * * * * [misc]progress: [ 18 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (sqrt (- x (sin x))) (/ (sqrt (- x (sin x))) (- x (tan x))))))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (- x (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (- x (tan x))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (sqrt (- x (sin x))) (/ (sqrt (- x (sin x))) (- x (tan x))))))) * * * * [misc]progress: [ 19 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ (/ 1 (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) (/ (- x (sin x)) (cbrt (- x (tan x)))))))) * [enter]simplify: Simplifying (/ (- x (sin x)) (cbrt (- x (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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (- x (sin x)) (cbrt (- x (tan x)))))))) * * * * [misc]progress: [ 20 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ 1 (sqrt (- x (tan x)))) (/ (- x (sin x)) (sqrt (- x (tan x)))))))) * [enter]simplify: Simplifying (/ (- x (sin x)) (sqrt (- x (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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ 1 (sqrt (- x (tan x)))) (/ (- x (sin x)) (sqrt (- x (tan x)))))))) * * * * [misc]progress: [ 21 / 106 ] 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 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* 1 (/ (- x (sin x)) (- x (tan x))))))) * [enter]simplify: Simplifying (/ (- x (sin x)) (- x (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (tan x))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* 1 (/ (- x (sin x)) (- x (tan x))))))) * * * * [misc]progress: [ 22 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (/ (/ (- x (sin x)) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (cbrt (- x (tan x))))))) * * * * [misc]progress: [ 26 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (/ (/ (- x (sin x)) (sqrt (- x (tan x)))) (sqrt (- x (tan x))))))) * * * * [misc]progress: [ 27 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (tan x)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (/ (/ (- x (sin x)) 1) (- x (tan x)))))) * * * * [misc]progress: [ 28 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (- x (tan x)) (cbrt (- x (sin x)))))))) * * * * [misc]progress: [ 29 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (/ (sqrt (- x (sin x))) (/ (- x (tan x)) (sqrt (- x (sin x)))))))) * * * * [misc]progress: [ 30 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ x (tan x)) (tan x) (* x x)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ (- x (sin x)) (- (pow x 3) (pow (tan x) 3))) (fma (+ x (tan x)) (tan x) (* x x)))))) * * * * [misc]progress: [ 32 / 106 ] simplifiying candidate # * [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) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (* (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x)))) (+ (tan x) x))))) * * * * [misc]progress: [ 33 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (sin x) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (fma (* (sin x) (sin x)) (- (sin x)) (pow x 3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (/ (fma (* (sin x) (sin x)) (- (sin x)) (pow x 3)) (* (- x (tan x)) (+ (* x x) (+ (* (sin x) (sin x)) (* x (sin x))))))))) * * * * [misc]progress: [ 34 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (* x x) (* (sin x) (sin x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (/ (- (* x x) (* (sin x) (sin x))) (* (- x (tan x)) (+ x (sin x))))))) * * * * [misc]progress: [ 35 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- x (sin x))) (log (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (log (- x (sin x))) (log (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (exp (- (log (- x (sin x))) (log (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 39 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- x (sin x)) (- x (sin x))) (- x (sin x))) (* (* (- x (tan x)) (- x (tan x))) (- x (tan x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (pow (/ (- x (sin x)) (- x (tan x))) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (cbrt (pow (/ (- x (sin x)) (- x (tan x))) 3))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 42 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- x (tan x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ x (- x (tan x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 47 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (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 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (* (* (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x))))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (cbrt (- x (sin x))) (cbrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 48 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (sqrt (- x (tan x)))) (/ (cbrt (- x (sin x))) (sqrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 49 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) 1) * * [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 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (* (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (cbrt (- x (sin x))) (- x (tan x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * [enter]simplify: Simplifying (/ (cbrt (- x (sin x))) (- x (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x (sin x))) (- x (tan x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (cbrt (- x (sin x))) (- x (tan x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 50 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (* (/ (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (/ (sqrt (- x (sin x))) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (sqrt (- x (sin x))) (cbrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 51 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (* (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))) (/ (sqrt (- x (sin x))) (sqrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 52 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (* (sqrt (- x (sin x))) (/ (sqrt (- x (sin x))) (- x (tan x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * [enter]simplify: Simplifying (/ (sqrt (- x (sin x))) (- x (tan x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x (sin x))) (- x (tan x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (sqrt (- x (sin x))) (/ (sqrt (- x (sin x))) (- x (tan x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 53 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (* (/ (/ 1 (cbrt (- x (tan x)))) (cbrt (- x (tan x)))) (/ (- x (sin x)) (cbrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * [enter]simplify: Simplifying (/ (- x (sin x)) (cbrt (- x (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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (cbrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (/ 1 (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (/ (- x (sin x)) (cbrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 54 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- x (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (* (/ 1 (sqrt (- x (tan x)))) (/ (- x (sin x)) (sqrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * [enter]simplify: Simplifying (/ (- x (sin x)) (sqrt (- x (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 (20 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (sqrt (- x (tan x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (/ 1 (sqrt (- x (tan x)))) (/ (- x (sin x)) (sqrt (- x (tan x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 55 / 106 ] 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 * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (* 1 (/ (- x (sin x)) (- x (tan x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * [enter]simplify: Simplifying (/ (- x (sin x)) (- x (tan x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x (sin x)) (- x (tan x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (* 1 (/ (- x (sin x)) (- x (tan x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 56 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (- x (tan x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (/ (/ (- x (sin x)) (* (cbrt (- x (tan x))) (cbrt (- x (tan x))))) (cbrt (- x (tan x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 60 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (- x (tan x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (/ (/ (- x (sin x)) (sqrt (- x (tan x)))) (sqrt (- x (tan x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 61 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (- x (tan x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (/ (/ (- x (sin x)) 1) (- x (tan x)))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 62 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (/ (* (cbrt (- x (sin x))) (cbrt (- x (sin x)))) (/ (- x (tan x)) (cbrt (- x (sin x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 63 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (- x (sin x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (/ (sqrt (- x (sin x))) (/ (- x (tan x)) (sqrt (- x (sin x)))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 64 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* (tan x) (tan x)) (* x (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ x (tan x)) (tan x) (* x x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (/ (- x (sin x)) (- (pow x 3) (pow (tan x) 3))) (fma (+ x (tan x)) (tan x) (* x x)))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 66 / 106 ] simplifiying candidate # * [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) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (* (/ (- x (sin x)) (- (* x x) (* (tan x) (tan x)))) (+ (tan x) x))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 67 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (sin x) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (fma (* (sin x) (sin x)) (- (sin x)) (pow x 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (/ (fma (* (sin x) (sin x)) (- (sin x)) (pow x 3)) (* (- x (tan x)) (+ (* x x) (+ (* (sin x) (sin x)) (* x (sin x))))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 68 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (* x x) (* (sin x) (sin x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (sqrt (/ (- (* x x) (* (sin x) (sin x))) (* (- x (tan x)) (+ x (sin x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 69 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (- (* (* 9/40 x) x) (fma (pow x 4) 27/2800 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (- (* (* 9/40 x) x) (fma (pow x 4) 27/2800 1/2))))) * * * * [misc]progress: [ 96 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x))))))) * * * * [misc]progress: [ 97 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x))))))) * * * * [misc]progress: [ 98 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (- (* (* 9/40 x) x) (fma (pow x 4) 27/2800 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (sqrt (- (* (* 9/40 x) x) (fma (pow x 4) 27/2800 1/2))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 99 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (sqrt (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 100 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (/ (pow (sin x) 2) (* (pow (cos x) 2) (pow x 2))) (/ (sin x) (* (cos x) x)))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (* (cos x) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (sqrt (+ (fma (/ (sin x) (* x x)) (/ (/ (sin x) (cos x)) (cos x)) (/ (/ (sin x) (cos x)) x)) (- 1 (fma (/ (sin x) (* x x)) (/ (sin x) (cos x)) (/ (sin x) x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 101 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow x 3)) (+ (* 2/15 (pow x 5)) (* 17/315 (pow x 7))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (- (* (pow x 7) (- 17/315)) (fma x (* (* 1/3 x) x) (* (pow x 5) 2/15))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (/ (- x (sin x)) (- (* (pow x 7) (- 17/315)) (fma x (* (* 1/3 x) x) (* (pow x 5) 2/15))))))) * * * * [misc]progress: [ 102 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- x (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (/ (- x (sin x)) (- x (/ (sin x) (cos x))))))) * * * * [misc]progress: [ 103 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- x (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (tan x)))) (sqrt (/ (- x (sin x)) (- x (/ (sin x) (cos x))))))) * * * * [misc]progress: [ 104 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow x 3)) (+ (* 2/15 (pow x 5)) (* 17/315 (pow x 7))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (- (* (pow x 7) (- 17/315)) (fma x (* (* 1/3 x) x) (* (pow x 5) 2/15))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- (* (pow x 7) (- 17/315)) (fma x (* (* 1/3 x) x) (* (pow x 5) 2/15))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 105 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- x (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (/ (sin x) (cos x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * * [misc]progress: [ 106 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (/ (sin x) (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- x (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (* (sqrt (/ (- x (sin x)) (- x (/ (sin x) (cos x))))) (sqrt (/ (- x (sin x)) (- x (tan x)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (x (/ (- x (sin x)) (- x (tan x)))) * * * * [misc]regimes: Trying to branch on x from (# # # # # #) * * * * [misc]regimes: Trying to branch on (/ (- x (sin x)) (- x (tan x))) from (# # # # # #) * * * * [misc]regimes: Trying to branch on (/ (- x (sin x)) (- x (tan x))) from (# #) * * * [misc]regime: Found split indices: #