* [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: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [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 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan 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 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (tan x) (tan x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45 * [misc]backup-simplify: Simplify 17/45 into 17/45 * [misc]backup-simplify: Simplify (+ (* 17/45 (pow x 6)) (+ (* 2/3 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (tan x) (tan x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45 * [misc]backup-simplify: Simplify 17/45 into 17/45 * [misc]backup-simplify: Simplify (+ (* 17/45 (pow x 6)) (+ (* 2/3 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- 1 (* (tan x) (tan x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (- 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3 * [misc]backup-simplify: Simplify (- 2/3) into -2/3 * [misc]backup-simplify: Simplify (+ 0 -2/3) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (+ (* -2/3 (pow x 4)) (+ (* -1 (pow x 2)) 1)) into (- 1 (+ (pow x 2) (* 2/3 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2))) into (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * [misc]approximate: Taking taylor expansion of (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2))) into (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (+ 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 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 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (+ 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1 1)) (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3 * [misc]backup-simplify: Simplify (- 2/3) into -2/3 * [misc]backup-simplify: Simplify (+ 0 -2/3) into -2/3 * [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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3 * [misc]backup-simplify: Simplify (+ 0 2/3) into 2/3 * [misc]backup-simplify: Simplify (- (/ -2/3 1) (+ (* 1 (/ 2/3 1)) (* 0 (/ 0 1)) (* -2 (/ 1 1)) (* 0 (/ 0 1)))) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow x 4)) (+ (* -2 (pow x 2)) 1)) into (- (+ 1 (* 2/3 (pow x 4))) (* 2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (+ 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) into (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (+ 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) into (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) into (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) * [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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2))) (+ (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) 1)) into (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) * [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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2))) (+ 1 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)))) into (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (tan x) (+ 1 1))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (tan x) (+ 1 1))))) * * * * [misc]progress: [ 2 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan x) (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (tan x) (tan x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (* (tan x) (tan x)) 1)))) * * * * [misc]progress: [ 3 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (tan x) (+ 1 1))))) * * * * [misc]progress: [ 5 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (tan x)) (log (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (+ (log (tan x)) (log (tan x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (exp (+ (log (tan x)) (log (tan x))))))) * * * * [misc]progress: [ 7 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (pow (* (tan x) (tan x)) 3) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (cbrt (pow (* (tan x) (tan x)) 3))))) * * * * [misc]progress: [ 10 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * [enter]simplify: Simplifying (* (cos x) (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 14 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (tan x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (cbrt (tan x)))))) * * * * [misc]progress: [ 16 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* (tan x) (sqrt (tan x))) (sqrt (tan x)))))) * * * * [misc]progress: [ 17 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* (tan x) 1) (tan x))))) * * * * [misc]progress: [ 18 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan x)) (cbrt (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (tan x)) (cbrt (tan x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (tan x)))))) * * * * [misc]progress: [ 19 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (sqrt (tan x)) (* (sqrt (tan x)) (tan x)))))) * * * * [misc]progress: [ 20 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (* (tan x) (sin x)) (cos x))))) * * * * [misc]progress: [ 22 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (tan x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (tan x) (sin x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (* (tan x) (sin x)) (cos x))))) * * * * [misc]progress: [ 23 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (pow (tan x) (+ 1 1))) (+ 1 (* (tan x) (tan x))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (pow (tan x) (+ 1 1))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 25 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan x) (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (tan x) (tan x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (pow (* (tan x) (tan x)) 1)) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 26 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (pow (tan x) (+ 1 1))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 28 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (tan x)) (log (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (+ (log (tan x)) (log (tan x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (exp (+ (log (tan x)) (log (tan x))))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 30 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (pow (* (tan x) (tan x)) 3) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (cbrt (pow (* (tan x) (tan x)) 3))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 33 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * [enter]simplify: Simplifying (* (cos x) (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 37 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (tan x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (* (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (cbrt (tan x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 39 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (* (* (tan x) (sqrt (tan x))) (sqrt (tan x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 40 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (* (* (tan x) 1) (tan x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 41 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan x)) (cbrt (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (tan x)) (cbrt (tan x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (tan x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 42 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (* (sqrt (tan x)) (* (sqrt (tan x)) (tan x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 43 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 45 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (tan x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (tan x) (sin x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 46 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (* (tan x) (tan x)))) (log (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (log (- 1 (* (tan x) (tan x)))) (log (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (- 1 (* (tan x) (tan x)))) (log (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 60 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 (* (tan x) (tan x))) (- 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x)))) (* (* (+ 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (- 1 (* (tan x) (tan x))) (+ (* (tan x) (tan x)) 1)) 3))) * * * * [misc]progress: [ 63 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (/ 1 (+ 1 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1 (* (tan x) (tan x)))))) * * * * [misc]progress: [ 68 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 69 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (tan x) (tan x)))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- 1 (* (tan x) (tan x)))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x)))))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) (sqrt (+ 1 (* (tan x) (tan x))))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 70 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))))) * * * * [misc]progress: [ 71 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* (tan x) (tan x)))) (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) (cbrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) (cbrt (+ 1 (* (tan x) (tan x))))) (/ (sqrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (tan x)))) (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) (/ (sqrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 72 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 73 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* (tan x) (tan x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (- 1 (* (tan x) (tan x)))) (/ (sqrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (- 1 (* (tan x) (tan x)))) (/ (sqrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))))) * * * * [misc]progress: [ 74 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ 1 (* (tan x) (tan x))))) (cbrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (+ 1 (* (tan x) (tan x))))) (cbrt (+ 1 (* (tan x) (tan x))))) (/ (- 1 (* (tan x) (tan x))) (cbrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (- 1 (* (tan x) (tan x))) (cbrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (cbrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) (/ (- 1 (* (tan x) (tan x))) (cbrt (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 75 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (* (tan x) (tan x))))) (/ (- 1 (* (tan x) (tan x))) (sqrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (- 1 (* (tan x) (tan x))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (sqrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (* (tan x) (tan x))))) (/ (- 1 (* (tan x) (tan x))) (sqrt (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 76 / 101 ] 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 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))) * [enter]simplify: Simplifying (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))) * * * * [misc]progress: [ 77 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- 1 (* (tan x) (tan x))) (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) (cbrt (+ 1 (* (tan x) (tan x)))))) * * * * [misc]progress: [ 81 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- 1 (* (tan x) (tan x))) (sqrt (+ 1 (* (tan x) (tan x))))) (sqrt (+ 1 (* (tan x) (tan x)))))) * * * * [misc]progress: [ 82 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* (tan x) (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (+ 1 (* (tan x) (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- 1 (* (tan x) (tan x))) 1) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 83 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) (/ (+ 1 (* (tan x) (tan x))) (cbrt (- 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 84 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (- 1 (* (tan x) (tan x)))) (/ (+ 1 (* (tan x) (tan x))) (sqrt (- 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 85 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (- (+ 1 (pow (tan x) (+ 3 1))) (* (tan x) (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1 (* (tan x) (tan x))) (+ (pow 1 3) (pow (* (tan x) (tan x)) 3))) (- (+ 1 (pow (tan x) (+ 3 1))) (* (tan x) (tan x))))) * * * * [misc]progress: [ 87 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* (tan x) (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- 1 (* (tan x) (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1 (* (tan x) (tan x))) (- (* 1 1) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (- 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 88 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (* (tan x) (tan x)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (- 1 (pow (* (tan x) (tan x)) 3)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (pow (* (tan x) (tan x)) 3)) (* (+ 1 (* (tan x) (tan x))) (+ (* 1 1) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1 (* (tan x) (tan x)))))))) * * * * [misc]progress: [ 89 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (* (tan x) (tan x)) (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (- 1 (pow (tan x) (+ 3 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (pow (tan x) (+ 3 1))) (* (+ 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))) * * * * [misc]progress: [ 90 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x)))))) * * * * [misc]progress: [ 91 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))))) * * * * [misc]progress: [ 92 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))))) * * * * [misc]progress: [ 93 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (- 1 (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 94 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 95 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 96 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (pow x 2) (* 2/3 (pow x 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (- (- 1 (* x x)) (* 2/3 (pow x 4))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (- 1 (* x x)) (* 2/3 (pow x 4))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 97 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 98 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 99 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (* 2/3 (pow x 4))) (* 2 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (+ 1 (* 2/3 (pow x 4))) (* (* x x) 2)) * [misc]simplify: Simplified (2) to (λ (x) (- (+ 1 (* 2/3 (pow x 4))) (* (* x x) 2))) * * * * [misc]progress: [ 100 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x))))) * [misc]simplify: Simplified (2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))))) * * * * [misc]progress: [ 101 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x))))) * [misc]simplify: Simplified (2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos 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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (tan x) (tan x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45 * [misc]backup-simplify: Simplify 17/45 into 17/45 * [misc]backup-simplify: Simplify (+ (* 17/45 (pow x 6)) (+ (* 2/3 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (* (tan x) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (* (tan x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (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 0) (+ (* 0 1) (* 1/3 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 (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* 1/3 1) (* 0 0)))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* 1/3 0) (+ (* 0 1) (* 2/15 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 (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 2/15 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* 1/3 (- 1/6)) (+ (* 0 0) (+ (* 2/15 1) (* 0 0)))))) into 31/360 * [misc]backup-simplify: Simplify 31/360 into 31/360 * [misc]backup-simplify: Simplify (+ (* 31/360 (pow x 6)) (+ (* 1/6 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 1/6 (pow x 4)) (* 31/360 (pow x 6)))) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x)))) into (/ (pow (sin x) 2) (cos x)) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x))))) into (/ (pow (sin x) 2) (cos x)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (* (tan x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (* (tan x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (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 0) (+ (* 0 1) (* 1/3 0))) 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 (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) 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 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* 1/3 1) (* 0 0)))) 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 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* 1/3 0) (+ (* 0 1) (* 2/15 0))))) 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)) (* 2/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 2/15 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* 1/3 (- 1/6)) (+ (* 0 0) (+ (* 2/15 1) (* 0 0)))))) into 31/360 * [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 (- (/ 31/360 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 17/45 * [misc]backup-simplify: Simplify 17/45 into 17/45 * [misc]backup-simplify: Simplify (+ (* 17/45 (pow x 6)) (+ (* 2/3 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * [misc]approximate: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * [misc]approximate: Taking taylor expansion of (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- 1 (/ (* (tan x) (sin x)) (cos x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ (* (tan x) (sin x)) (cos x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (* (tan x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ (* (tan x) (sin x)) (cos x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (* (tan x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (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 0) (+ (* 0 1) (* 1/3 0))) 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 (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* 1/3 1) (* 0 0)))) 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 2/3 * [misc]backup-simplify: Simplify (- 2/3) into -2/3 * [misc]backup-simplify: Simplify (+ 0 -2/3) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (+ (* -2/3 (pow x 4)) (+ (* -1 (pow x 2)) 1)) into (- 1 (+ (pow x 2) (* 2/3 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (- 1 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]taylor: Taking taylor expansion of (- 1 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (- 1 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2))) into (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * [misc]approximate: Taking taylor expansion of (- 1 (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]taylor: Taking taylor expansion of (- 1 (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (- 1 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2))) into (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (pow (tan x) (+ 1 1))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (pow (tan x) (+ 1 1))))) * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan x) (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (tan x) (tan x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (pow (* (tan x) (tan x)) 1)))) * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (pow (tan x) (+ 1 1))))) * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (tan x)) (log (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (+ (log (tan x)) (log (tan x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (exp (+ (log (tan x)) (log (tan x))))))) * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (pow (* (tan x) (tan x)) 3) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (cbrt (pow (* (tan x) (tan x)) 3))))) * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * [enter]simplify: Simplifying (* (cos x) (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (tan x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (cbrt (tan x)))))) * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (* (tan x) (sqrt (tan x))) (sqrt (tan x)))))) * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (* (tan x) 1) (tan x))))) * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan x)) (cbrt (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (tan x)) (cbrt (tan x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (tan x)))))) * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (sqrt (tan x)) (* (sqrt (tan x)) (tan x)))))) * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x))))) * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (tan x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (tan x) (sin x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (tan x) (sin x)) (cos x))))) * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan x) (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (sin x) (tan x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (pow (* (sin x) (tan x)) 1) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (tan x)) (log (sin x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (tan x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (exp (+ (log (sin x)) (log (tan x)))) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (tan x) (tan x)) (tan x)) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (pow (* (tan x) (sin x)) 3) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (cbrt (pow (* (tan x) (sin x)) 3)) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin x)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (/ (- 1 (/ (* (* (tan x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin x)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (/ (- 1 (/ (* (* (tan x) (sqrt (sin x))) (sqrt (sin x))) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (/ (- 1 (/ (* (* (tan x) 1) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan x)) (cbrt (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (tan x)) (cbrt (tan x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (sin x))) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (* (sqrt (tan x)) (* (sqrt (tan x)) (sin x))) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (/ (* (sin x) (sin x)) (cos x)) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (tan x)) (log (sin x))) (log (cos x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (+ (log (tan x)) (- (log (sin x)) (log (cos x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (exp (+ (log (tan x)) (- (log (sin x)) (log (cos x)))))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (tan x) (sin x))) (log (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (log (* (sin x) (tan x))) (log (cos x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (exp (- (log (* (sin x) (tan x))) (log (cos x))))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (tan x) (tan x)) (tan x)) (* (* (sin x) (sin x)) (sin x))) (* (* (cos x) (cos x)) (cos x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (/ (/ (pow (tan x) 3) (/ (cos x) (sin x))) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (cbrt (/ (/ (pow (tan x) 3) (/ (cos x) (sin x))) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (tan x) (sin x)) (* (tan x) (sin x))) (* (tan x) (sin x))) (* (* (cos x) (cos x)) (cos x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (pow (* (/ (sin x) (cos x)) (tan x)) 3) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (cbrt (pow (* (/ (sin x) (cos x)) (tan x)) 3))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan x) (* (cbrt (cos x)) (cbrt (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (/ (tan x) (cbrt (cos x))) (cbrt (cos x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (* (/ (/ (tan x) (cbrt (cos x))) (cbrt (cos x))) (/ (sin x) (cbrt (cos x))))) (+ 1 (* (tan x) (tan x))))) * [enter]simplify: Simplifying (/ (sin x) (cbrt (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sin x) (cbrt (cos x))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (* (/ (tan x) (* (cbrt (cos x)) (cbrt (cos x)))) (/ (sin x) (cbrt (cos x))))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan x) (sqrt (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (tan x) (sqrt (cos x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (* (/ (tan x) (sqrt (cos x))) (/ (sin x) (sqrt (cos x))))) (+ 1 (* (tan x) (tan x))))) * [enter]simplify: Simplifying (/ (sin x) (sqrt (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (cos x))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (* (/ (tan x) (sqrt (cos x))) (/ (sin x) (sqrt (cos x))))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (* (tan x) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * [enter]simplify: Simplifying (/ (sin x) (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (sin x) (cos x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (* (tan x) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (cos x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (/ (* (tan x) (sin x)) (* (cbrt (cos x)) (cbrt (cos x)))) (cbrt (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (/ (* (tan x) (sin x)) (sqrt (cos x))) (sqrt (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (/ (* (tan x) (sin x)) 1) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (tan x) (/ (cos x) (sin x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x)))))) * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))))) * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))))) * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 2) (+ (* 1/6 (pow x 4)) (* 31/360 (pow x 6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (* 1/6 (pow x 4)) (+ (* (pow x 6) 31/360) (* x x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (+ (* 1/6 (pow x 4)) (+ (* (pow x 6) 31/360) (* x x))) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (cos x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (/ (sin x) (/ (cos x) (sin x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (/ (sin x) (/ (cos x) (sin x))) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (cos x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (/ (sin x) (/ (cos x) (sin x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (/ (sin x) (/ (cos x) (sin x))) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (- 1 (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (pow x 2) (* 2/3 (pow x 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (- (- 1 (* x x)) (* 2/3 (pow x 4))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (- 1 (* x x)) (* 2/3 (pow x 4))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan 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 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) * [misc]approximate: Taking taylor expansion of (* (cos x) (cos x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cos x) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cos x) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/2)) (+ (* 0 0) (* (- 1/2) 1))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/2)) (+ (* (- 1/2) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 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 1/24) (+ (* 0 0) (+ (* (- 1/2) (- 1/2)) (+ (* 0 0) (* 1/24 1))))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow x 4)) (+ (* -1 (pow x 2)) 1)) into (- (+ 1 (* 1/3 (pow x 4))) (pow x 2)) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (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 (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (cos (/ 1 x)) 2) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ 1 (/ 1 x))) 2) into (pow (cos x) 2) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (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 (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (pow (cos (/ -1 x)) 2) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ -1 (/ 1 (- x)))) 2) into (pow (cos x) 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* (sin x) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 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 (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 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 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]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 (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]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 (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]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 (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]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 (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (* (tan x) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (* (tan x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (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 0) (+ (* 0 1) (* 1/3 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 (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* 1/3 1) (* 0 0)))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* 1/3 0) (+ (* 0 1) (* 2/15 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 (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 2/15 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* 1/3 (- 1/6)) (+ (* 0 0) (+ (* 2/15 1) (* 0 0)))))) into 31/360 * [misc]backup-simplify: Simplify 31/360 into 31/360 * [misc]backup-simplify: Simplify (+ (* 31/360 (pow x 6)) (+ (* 1/6 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 1/6 (pow x 4)) (* 31/360 (pow x 6)))) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (cos (/ 1 (/ 1 x)))) into (/ (pow (sin x) 2) (cos x)) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (cos (/ -1 (/ 1 (- x))))) into (/ (pow (sin x) 2) (cos x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (* (tan x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (tan x) (sin x)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (* (tan x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (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 0) (+ (* 0 1) (* 1/3 0))) 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 (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) 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 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* 1/3 1) (* 0 0)))) 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 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* 1/3 0) (+ (* 0 1) (* 2/15 0))))) 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)) (* 2/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1/24 1)) (* 1/3 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 2/15 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* 1/3 (- 1/6)) (+ (* 0 0) (+ (* 2/15 1) (* 0 0)))))) into 31/360 * [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 (- (/ 31/360 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 2/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 17/45 * [misc]backup-simplify: Simplify 17/45 into 17/45 * [misc]backup-simplify: Simplify (+ (* 17/45 (pow x 6)) (+ (* 2/3 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * [misc]approximate: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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))) (sin (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (cos (/ 1 x))) (cos (/ 1 x))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) (/ 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 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * [misc]approximate: Taking taylor expansion of (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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))) (sin (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (cos (/ -1 x))) (cos (/ -1 x))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) (/ 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 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (cos (* 2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (* x 2))) * [misc]simplify: Simplified (2 2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (+ 1/2 (* 1/2 (cos (* x 2)))))))) * * * * [misc]progress: [ 2 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cos (+ x x)) (cos (- x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (+ 1 (cos (+ x x))) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (/ (+ 1 (cos (+ x x))) 2))))) * * * * [misc]progress: [ 3 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (pow (cos x) (+ 1 1)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (pow (cos x) (+ 1 1)))))) * * * * [misc]progress: [ 4 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (pow (* (cos x) (cos x)) 1))))) * * * * [misc]progress: [ 5 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (pow (cos x) (+ 1 1)))))) * * * * [misc]progress: [ 7 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos x)) (log (cos x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (+ (log (cos x)) (log (cos x))) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (exp (+ (log (cos x)) (log (cos x)))))))) * * * * [misc]progress: [ 9 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (pow (* (cos x) (cos x)) 3) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (cbrt (pow (* (cos x) (cos x)) 3)))))) * * * * [misc]progress: [ 12 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (cos x)) * [misc]simplify: Simplified (2 2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (* (cos x) (* (cbrt (cos x)) (cbrt (cos x)))) (cbrt (cos x))))))) * * * * [misc]progress: [ 17 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos x)) * [misc]simplify: Simplified (2 2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (* (cos x) (sqrt (cos x))) (sqrt (cos x))))))) * * * * [misc]progress: [ 18 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (* (cos x) 1) (cos x)))))) * * * * [misc]progress: [ 19 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos x)) (cbrt (cos x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (cos x)) (cbrt (cos x))) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (cos x))))))) * * * * [misc]progress: [ 20 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos x)) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (sqrt (cos x)) (* (sqrt (cos x)) (cos x))))))) * * * * [misc]progress: [ 21 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (cos (* 2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (* x 2))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (- 1/2 (* 1/2 (cos (* x 2)))) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 24 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- x x)) (cos (+ x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- 1 (cos (+ x x))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (/ (- 1 (cos (+ x x))) 2) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 25 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (pow (sin x) (+ 1 1)) (* (cos x) (cos x)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (pow (sin x) (+ 1 1)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 26 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (pow (* (sin x) (sin x)) 1) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 27 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (pow (sin x) (+ 1 1)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 29 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin x)) (log (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (exp (+ (log (sin x)) (log (sin x)))) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 31 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (pow (* (sin x) (sin x)) 3) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (cbrt (pow (* (sin x) (sin x)) 3)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 34 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin x)) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 39 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin x)) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (* (sin x) (sqrt (sin x))) (sqrt (sin x))) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 40 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (* (sin x) 1) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 41 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin x)) (cbrt (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (sin x))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (sin x))) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 42 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin x)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sqrt (sin x)) (* (sqrt (sin x)) (sin x))) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 43 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan x) (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (sin x) (tan x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (pow (* (sin x) (tan x)) 1) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 46 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (tan x)) (log (sin x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (tan x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (exp (+ (log (sin x)) (log (tan x)))) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 48 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (tan x) (tan x)) (tan x)) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (pow (* (tan x) (sin x)) 3) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (cbrt (pow (* (tan x) (sin x)) 3)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 51 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin x)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (/ (- 1 (/ (* (* (tan x) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 56 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin x)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (/ (- 1 (/ (* (* (tan x) (sqrt (sin x))) (sqrt (sin x))) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 57 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (/ (- 1 (/ (* (* (tan x) 1) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 58 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan x)) (cbrt (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (tan x)) (cbrt (tan x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (sin x))) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 59 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (* (sqrt (tan x)) (* (sqrt (tan x)) (sin x))) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 60 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (/ (* (sin x) (sin x)) (cos x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 62 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (tan x)) (log (sin x))) (log (cos x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (+ (log (tan x)) (- (log (sin x)) (log (cos x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (exp (+ (log (tan x)) (- (log (sin x)) (log (cos x)))))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 65 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (tan x) (sin x))) (log (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (log (* (sin x) (tan x))) (log (cos x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (exp (- (log (* (sin x) (tan x))) (log (cos x))))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 66 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (tan x) (tan x)) (tan x)) (* (* (sin x) (sin x)) (sin x))) (* (* (cos x) (cos x)) (cos x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (/ (/ (pow (tan x) 3) (/ (cos x) (sin x))) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (cbrt (/ (/ (pow (tan x) 3) (/ (cos x) (sin x))) (* (/ (cos x) (sin x)) (/ (cos x) (sin x)))))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 69 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (tan x) (sin x)) (* (tan x) (sin x))) (* (tan x) (sin x))) (* (* (cos x) (cos x)) (cos x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (pow (* (/ (sin x) (cos x)) (tan x)) 3) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (cbrt (pow (* (/ (sin x) (cos x)) (tan x)) 3))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 70 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan x) (* (cbrt (cos x)) (cbrt (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (/ (tan x) (cbrt (cos x))) (cbrt (cos x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (* (/ (/ (tan x) (cbrt (cos x))) (cbrt (cos x))) (/ (sin x) (cbrt (cos x))))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * [enter]simplify: Simplifying (/ (sin x) (cbrt (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sin x) (cbrt (cos x))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (* (/ (tan x) (* (cbrt (cos x)) (cbrt (cos x)))) (/ (sin x) (cbrt (cos x))))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 75 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan x) (sqrt (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (tan x) (sqrt (cos x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (* (/ (tan x) (sqrt (cos x))) (/ (sin x) (sqrt (cos x))))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * [enter]simplify: Simplifying (/ (sin x) (sqrt (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (cos x))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (* (/ (tan x) (sqrt (cos x))) (/ (sin x) (sqrt (cos x))))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 76 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (* (tan x) (/ (sin x) (cos x)))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * [enter]simplify: Simplifying (/ (sin x) (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (sin x) (cos x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (* (tan x) (/ (sin x) (cos x)))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 77 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (cos x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (/ (* (tan x) (sin x)) (* (cbrt (cos x)) (cbrt (cos x)))) (cbrt (cos x)))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 81 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (/ (* (tan x) (sin x)) (sqrt (cos x))) (sqrt (cos x)))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 82 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (/ (* (tan x) (sin x)) 1) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 83 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (tan x) (/ (cos x) (sin x)))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 84 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 85 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (* 1/3 (pow x 4))) (pow x 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (* 1/3 (pow x 4)) (- (* x x) 1)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (- (* 1/3 (pow x 4)) (- (* x x) 1)))))) * * * * [misc]progress: [ 86 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 87 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 88 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (- (* x x) (* (pow x 4) 1/3)) (* 2/45 (pow x 6))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (+ (- (* x x) (* (pow x 4) 1/3)) (* 2/45 (pow x 6))) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 89 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 90 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 91 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 2) (+ (* 1/6 (pow x 4)) (* 31/360 (pow x 6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (* 1/6 (pow x 4)) (+ (* (pow x 6) 31/360) (* x x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (+ (* 1/6 (pow x 4)) (+ (* (pow x 6) 31/360) (* x x))) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 92 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (cos x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (/ (sin x) (/ (cos x) (sin x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (/ (sin x) (/ (cos x) (sin x))) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 93 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (cos x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (/ (sin x) (/ (cos x) (sin x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (/ (sin x) (/ (cos x) (sin x))) (cos x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 94 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (- 1 (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x)))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 95 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))) * * * * [misc]progress: [ 96 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos 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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (+ 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp 1) into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (+ 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp 1) into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -2 * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -2 1) 1)))) into (* -2 E) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* -2 E)) 1)) (pow E 1)))) 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 1 1)) (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* -2 E)) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) 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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3 * [misc]backup-simplify: Simplify (- 2/3) into -2/3 * [misc]backup-simplify: Simplify (+ 0 -2/3) into -2/3 * [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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3 * [misc]backup-simplify: Simplify (+ 0 2/3) into 2/3 * [misc]backup-simplify: Simplify (- (/ -2/3 1) (+ (* 1 (/ 2/3 1)) (* 0 (/ 0 1)) (* -2 (/ 1 1)) (* 0 (/ 0 1)))) into 2/3 * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -2 2) 2)) (* (/ (pow 2/3 1) 1)))) into (* 8/3 E) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow E 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* -2 E)) 1)) (pow E 3))) (* -3 (/ (* 1 (pow (* 2 (* -2 E)) 2)) (pow E 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 8/3 E)) 1)) (pow E 1)))) 24) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow x 4)) (+ (* -2 (pow x 2)) 1)) into (- (+ 1 (* 2/3 (pow x 4))) (* 2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (log (exp (/ (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (+ 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) into (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) * [misc]backup-simplify: Simplify (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) into (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) * [misc]backup-simplify: Simplify (log (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)))) into (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) * [misc]taylor: Taking taylor expansion of (log (exp (/ (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (+ 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) into (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) * [misc]backup-simplify: Simplify (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) into (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) * [misc]backup-simplify: Simplify (log (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)))) into (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) into (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) * [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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (+ (* (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1)) (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (* 0 (/ 0 (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) (+ (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) 1))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2))) (+ (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) 1)) into (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) * [misc]approximate: Taking taylor expansion of (log (exp (/ (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) * [misc]backup-simplify: Simplify (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) into (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) * [misc]backup-simplify: Simplify (log (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))))) into (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (log (exp (/ (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) * [misc]backup-simplify: Simplify (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) into (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) * [misc]backup-simplify: Simplify (log (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))))) into (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) * [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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (+ (* (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (* 0 (/ 0 (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) (+ 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 1 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2))) (+ 1 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)))) into (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (* (tan x) (tan x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45 * [misc]backup-simplify: Simplify 17/45 into 17/45 * [misc]backup-simplify: Simplify (+ (* 17/45 (pow x 6)) (+ (* 2/3 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (* (tan x) (tan x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/3) (+ (* 1/3 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 2/15) (+ (* 0 0) (+ (* 1/3 1/3) (+ (* 0 0) (* 2/15 1))))) into 17/45 * [misc]backup-simplify: Simplify 17/45 into 17/45 * [misc]backup-simplify: Simplify (+ (* 17/45 (pow x 6)) (+ (* 2/3 (pow x 4)) (* 1 (pow x 2)))) into (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * [misc]approximate: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2)) into (/ (pow (sin x) 2) (pow (cos x) 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (- 1 (* (tan x) (tan x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (- 1 (* (tan x) (tan x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan x) (tan x)) in x * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan x) in x * [misc]taylor: Rewrote expression to (/ (sin x) (cos x)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 0) (* 1/3 1))) into 2/3 * [misc]backup-simplify: Simplify (- 2/3) into -2/3 * [misc]backup-simplify: Simplify (+ 0 -2/3) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (+ (* -2/3 (pow x 4)) (+ (* -1 (pow x 2)) 1)) into (- 1 (+ (pow x 2) (* 2/3 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (tan (/ 1 x)) (tan (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 x)) (tan (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 x)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (cos (/ 1 x))) into (/ (sin (/ 1 x)) (cos (/ 1 x))) * [misc]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 (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ (sin (/ 1 x)) (cos (/ 1 x)))) into (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)))) into (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) into (- 1 (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2))) * [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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (cos (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) (/ 0 (cos (/ 1 x)))) (* 0 (/ 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ 1 x)) (cos (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (/ (pow (sin (/ 1 (/ 1 x))) 2) (pow (cos (/ 1 (/ 1 x))) 2))) into (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * [misc]approximate: Taking taylor expansion of (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (tan (/ 1 (- x))) (tan (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (/ (sin (/ 1 (- x))) (cos (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (cos (/ -1 x))) into (/ (sin (/ -1 x)) (cos (/ -1 x))) * [misc]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 (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ (sin (/ -1 x)) (cos (/ -1 x)))) into (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)))) into (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) into (- 1 (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2))) * [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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (cos (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) (/ 0 (cos (/ -1 x)))) (* 0 (/ 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (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 (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 (+ (* (/ (sin (/ -1 x)) (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 x)) (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (cos (/ -1 (/ 1 (- x)))) 2))) into (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))) (cbrt (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))) (log (cbrt (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (+ (log (cbrt (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))) (log (cbrt (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))))) (log (cbrt (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))))) * * * * [misc]progress: [ 2 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log (sqrt (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))) (log (sqrt (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))))) * * * * [misc]progress: [ 3 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log 1) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))))) * * * * [misc]progress: [ 4 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ 1 (+ 1 (* (tan x) (tan x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (/ 1 (+ 1 (* (tan x) (tan x)))) (log (exp (/ (* (tan x) (tan x)) (+ 1 (* (tan x) (tan x)))))))) * * * * [misc]progress: [ 5 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))) (log (exp (* (cbrt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))) (cbrt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))))))) * * * * [misc]progress: [ 7 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))) (log (exp (sqrt (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))))) * * * * [misc]progress: [ 8 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) (log (exp (/ (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))))))) * * * * [misc]progress: [ 9 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) (log (exp (/ (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) (sqrt (+ 1 (* (tan x) (tan x))))))))) * * * * [misc]progress: [ 10 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))) (log (exp (/ (* (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (- 1 (* (tan x) (tan x))))) 1))))) * * * * [misc]progress: [ 11 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x))))) (log (exp (/ (sqrt (- 1 (* (tan x) (tan x)))) (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))))))) * * * * [misc]progress: [ 12 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))) (log (exp (/ (sqrt (- 1 (* (tan x) (tan x)))) (sqrt (+ 1 (* (tan x) (tan x))))))))) * * * * [misc]progress: [ 13 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x)))) (log (exp (/ (sqrt (- 1 (* (tan x) (tan x)))) 1))))) * * * * [misc]progress: [ 14 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (tan x) (tan x))) (cbrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (cbrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1 (* (tan x) (tan x))) (cbrt (+ 1 (* (tan x) (tan x))))) (log (exp (/ 1 (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))))))) * * * * [misc]progress: [ 15 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (tan x) (tan x))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (sqrt (+ 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1 (* (tan x) (tan x))) (sqrt (+ 1 (* (tan x) (tan x))))) (log (exp (/ 1 (sqrt (+ 1 (* (tan x) (tan x))))))))) * * * * [misc]progress: [ 16 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (log (exp (/ 1 1))))) * * * * [misc]progress: [ 17 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (log (exp 1)))) * * * * [misc]progress: [ 18 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ 1 (* (tan x) (tan x)))) (log (exp (- 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 19 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (- (+ 1 (pow (tan x) (+ 3 1))) (* (tan x) (tan x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (+ 1 (pow (tan x) (+ 3 1))) (* (tan x) (tan x))) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ (pow 1 3) (pow (* (tan x) (tan x)) 3))))))) * * * * [misc]progress: [ 20 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* (tan x) (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- 1 (* (tan x) (tan x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- 1 (* (tan x) (tan x))) (log (exp (/ (- 1 (* (tan x) (tan x))) (- (* 1 1) (* (* (tan x) (tan x)) (* (tan x) (tan x))))))))) * * * * [misc]progress: [ 21 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* (tan x) (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- 1 (* (tan x) (tan x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 23 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (tan x) (+ 1 1))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (tan x) (+ 1 1))))))) * * * * [misc]progress: [ 30 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan x) (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (tan x) (tan x)) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (* (tan x) (tan x)) 1)))))) * * * * [misc]progress: [ 31 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (tan x) (+ 1 1))))))) * * * * [misc]progress: [ 33 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (tan x)) (log (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (+ (log (tan x)) (log (tan x))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (exp (+ (log (tan x)) (log (tan x))))))))) * * * * [misc]progress: [ 35 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (pow (* (tan x) (tan x)) 3) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (cbrt (pow (* (tan x) (tan x)) 3))))))) * * * * [misc]progress: [ 38 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))))) * [enter]simplify: Simplifying (* (cos x) (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))))))) * * * * [misc]progress: [ 42 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (tan x)) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (cbrt (tan x)))))))) * * * * [misc]progress: [ 44 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* (tan x) (sqrt (tan x))) (sqrt (tan x)))))))) * * * * [misc]progress: [ 45 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* (tan x) 1) (tan x))))))) * * * * [misc]progress: [ 46 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan x)) (cbrt (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (tan x)) (cbrt (tan x))) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (tan x)))))))) * * * * [misc]progress: [ 47 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (sqrt (tan x)) (* (sqrt (tan x)) (tan x)))))))) * * * * [misc]progress: [ 48 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (* (tan x) (sin x)) (cos x))))))) * * * * [misc]progress: [ 50 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (tan x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (tan x) (sin x)) * [misc]simplify: Simplified (2 1 1 2 2 1) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (/ (* (tan x) (sin x)) (cos x))))))) * * * * [misc]progress: [ 51 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (log (exp (/ (- 1 (pow (tan x) (+ 1 1))) (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (x) (log (exp (/ (- 1 (pow (tan x) (+ 1 1))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 53 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan x) (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (tan x) (tan x)) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (log (exp (/ (- 1 (pow (* (tan x) (tan x)) 1)) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 54 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (log (exp (/ (- 1 (pow (tan x) (+ 1 1))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 56 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (tan x)) (log (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (+ (log (tan x)) (log (tan x))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (log (exp (/ (- 1 (exp (+ (log (tan x)) (log (tan x))))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 58 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (pow (* (tan x) (tan x)) 3) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (log (exp (/ (- 1 (cbrt (pow (* (tan x) (tan x)) 3))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 61 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (log (exp (/ (- 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))) (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (* (cos x) (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (x) (log (exp (/ (- 1 (/ (* (sin x) (sin x)) (* (cos x) (cos x)))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 65 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (tan x)) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (x) (log (exp (/ (- 1 (* (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (cbrt (tan x)))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 67 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (x) (log (exp (/ (- 1 (* (* (tan x) (sqrt (tan x))) (sqrt (tan x)))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 68 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan x) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (x) (log (exp (/ (- 1 (* (* (tan x) 1) (tan x))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 69 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan x)) (cbrt (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (tan x)) (cbrt (tan x))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (log (exp (/ (- 1 (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (tan x)))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 70 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan x)) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (log (exp (/ (- 1 (* (sqrt (tan x)) (* (sqrt (tan x)) (tan x)))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 71 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (x) (log (exp (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 73 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (tan x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (tan x) (sin x)) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (x) (log (exp (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 74 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (* 2/3 (pow x 4))) (* 2 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (+ 1 (* 2/3 (pow x 4))) (* (* x x) 2)) * [misc]simplify: Simplified (2) to (λ (x) (- (+ 1 (* 2/3 (pow x 4))) (* (* x x) 2))) * * * * [misc]progress: [ 87 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x))))) * [misc]simplify: Simplified (2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))))) * * * * [misc]progress: [ 88 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x))))) * [misc]simplify: Simplified (2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))))) * * * * [misc]progress: [ 89 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x)))))))) * * * * [misc]progress: [ 90 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))))))) * * * * [misc]progress: [ 91 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (x) (log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))))))) * * * * [misc]progress: [ 92 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 2) (+ (* 2/3 (pow x 4)) (* 17/45 (pow x 6)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x) (log (exp (/ (- 1 (+ (* 2/3 (pow x 4)) (+ (* (pow x 6) 17/45) (* x x)))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 93 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x) (log (exp (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 94 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (pow (cos x) 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (x) (log (exp (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 95 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (pow x 2) (* 2/3 (pow x 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (- (- 1 (* x x)) (* 2/3 (pow x 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (exp (/ (- (- 1 (* x x)) (* 2/3 (pow x 4))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 96 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (exp (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))))) * * * * [misc]progress: [ 97 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (exp (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ 1 (* (tan x) (tan x))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ (* (tan x) (tan x)) 1)) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 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: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs