* [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 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 906 * * [misc]simplify: Extracting #5: cost 0 inf + 2746 * * [misc]simplify: Extracting #6: cost 0 inf + 2691 * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (fma (tan x) (tan x) 1)) * * [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) * * * * [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) * [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) * [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 (- (+ (* 2/3 (pow x 4)) 1) (* 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))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) * [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))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) * * * * [misc]progress: [ 4 / 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: simplifying candidates * * * * [misc]progress: [ 1 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 97 * [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 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (pow (tan x) 2)))) * * * * [misc]progress: [ 4 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan x) (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 233 * [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: [ 5 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 97 * [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: [ 7 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (tan x)) (log (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 469 * [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: [ 9 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 109 ] 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 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 2 * * [misc]simplify: Extracting #3: cost 6 inf + 5 * * [misc]simplify: Extracting #4: cost 0 inf + 1021 * [exit]simplify: Simplified to (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (cbrt (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))))))) * * * * [misc]progress: [ 12 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 163 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 163 * [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: [ 16 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 273 * [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: [ 18 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 233 * [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: [ 19 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 97 * [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: [ 20 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan x)) (cbrt (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 489 * [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: [ 21 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 233 * [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: [ 22 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [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: [ 24 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (tan x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 3 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 354 * [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: [ 25 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 97 * [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 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (pow (tan x) 2)) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 29 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan x) (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 233 * [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: [ 30 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 97 * [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: [ 32 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (tan x)) (log (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 469 * [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: [ 34 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 109 ] 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 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 2 * * [misc]simplify: Extracting #3: cost 6 inf + 5 * * [misc]simplify: Extracting #4: cost 0 inf + 1021 * [exit]simplify: Simplified to (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (cbrt (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 37 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 163 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 163 * [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: [ 41 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 273 * [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: [ 43 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 233 * [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: [ 44 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 97 * [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: [ 45 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan x)) (cbrt (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 489 * [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: [ 46 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 233 * [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: [ 47 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [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: [ 49 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (tan x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 3 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 354 * [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: [ 50 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 109 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 2018 * [exit]simplify: Simplified to (- (log (- 1 (* (tan x) (tan x)))) (log (fma (tan x) (tan x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (- 1 (* (tan x) (tan x)))) (log (fma (tan x) (tan x) 1))))) * * * * [misc]progress: [ 55 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 109 ] 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 (120 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 39 inf + 0 * * [misc]simplify: Extracting #2: cost 186 inf + 2 * * [misc]simplify: Extracting #3: cost 323 inf + 3 * * [misc]simplify: Extracting #4: cost 350 inf + 4 * * [misc]simplify: Extracting #5: cost 278 inf + 15018 * * [misc]simplify: Extracting #6: cost 89 inf + 69901 * * [misc]simplify: Extracting #7: cost 1 inf + 96464 * * [misc]simplify: Extracting #8: cost 0 inf + 96281 * [exit]simplify: Simplified to (* (/ (- 1 (* (tan x) (tan x))) (fma (tan x) (tan x) 1)) (* (/ (- 1 (* (tan x) (tan x))) (fma (tan x) (tan x) 1)) (/ (- 1 (* (tan x) (tan x))) (fma (tan x) (tan x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (/ (- 1 (* (tan x) (tan x))) (fma (tan x) (tan x) 1)) (* (/ (- 1 (* (tan x) (tan x))) (fma (tan x) (tan x) 1)) (/ (- 1 (* (tan x) (tan x))) (fma (tan x) (tan x) 1)))))) * * * * [misc]progress: [ 58 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 109 ] 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) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 578 * [exit]simplify: Simplified to (/ 1 (fma (tan x) (tan x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (- (/ 1 (fma (tan x) (tan x) 1)) (/ (* (tan x) (tan x)) (+ 1 (* (tan x) (tan x)))))) * * * * [misc]progress: [ 63 / 109 ] 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 (36 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 2 * * [misc]simplify: Extracting #6: cost 12 inf + 522 * * [misc]simplify: Extracting #7: cost 5 inf + 2540 * * [misc]simplify: Extracting #8: cost 0 inf + 4685 * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (fma (tan x) (tan x) 1))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (fma (tan x) (tan x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (fma (tan x) (tan x) 1))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (fma (tan x) (tan x) 1)))) (/ (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 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 1796 * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (fma (tan x) (tan x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (fma (tan x) (tan x) 1))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (fma (tan x) (tan x) 1)))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (cbrt (fma (tan x) (tan x) 1))))) * * * * [misc]progress: [ 64 / 109 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 1 inf + 2455 * * [misc]simplify: Extracting #6: cost 0 inf + 2692 * * [misc]simplify: Extracting #7: cost 0 inf + 2677 * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* (tan x) (tan x)))) (hypot 1 (tan x))) (cbrt (- 1 (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- 1 (* (tan x) (tan x)))) (hypot 1 (tan x))) (cbrt (- 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 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 1681 * * [misc]simplify: Extracting #5: cost 0 inf + 1636 * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (tan x) (tan x)))) (hypot 1 (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- 1 (* (tan x) (tan x)))) (hypot 1 (tan x))) (cbrt (- 1 (* (tan x) (tan x))))) (/ (cbrt (- 1 (* (tan x) (tan x)))) (hypot 1 (tan x))))) * * * * [misc]progress: [ 65 / 109 ] 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 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 2 * * [misc]simplify: Extracting #6: cost 3 inf + 723 * * [misc]simplify: Extracting #7: cost 0 inf + 1574 * [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 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 1484 * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (tan x) (tan x)))) (fma (tan x) (tan x) 1)) * [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)))) (fma (tan x) (tan x) 1)))) * * * * [misc]progress: [ 66 / 109 ] 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 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 2 * * [misc]simplify: Extracting #6: cost 6 inf + 754 * * [misc]simplify: Extracting #7: cost 1 inf + 2028 * * [misc]simplify: Extracting #8: cost 0 inf + 2420 * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (tan x)))) (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) (/ (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 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 1716 * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (cbrt (fma (tan x) (tan x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (tan x)))) (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) (/ (sqrt (- 1 (* (tan x) (tan x)))) (cbrt (fma (tan x) (tan x) 1))))) * * * * [misc]progress: [ 67 / 109 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 1601 * * [misc]simplify: Extracting #5: cost 0 inf + 1556 * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (hypot 1 (tan x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (tan x)))) (hypot 1 (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 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 1601 * * [misc]simplify: Extracting #5: cost 0 inf + 1556 * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (hypot 1 (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (tan x)))) (hypot 1 (tan x))) (/ (sqrt (- 1 (* (tan x) (tan x)))) (hypot 1 (tan x))))) * * * * [misc]progress: [ 68 / 109 ] 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) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 940 * [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 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 1404 * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (tan x)))) (fma (tan x) (tan x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (- 1 (* (tan x) (tan x)))) (/ (sqrt (- 1 (* (tan x) (tan x)))) (fma (tan x) (tan x) 1)))) * * * * [misc]progress: [ 69 / 109 ] 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) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 1474 * [exit]simplify: Simplified to (/ 1 (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) (/ (- 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 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 2 * * [misc]simplify: Extracting #4: cost 11 inf + 562 * * [misc]simplify: Extracting #5: cost 0 inf + 3563 * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (cbrt (fma (tan x) (tan x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) (/ (- 1 (* (tan x) (tan x))) (cbrt (fma (tan x) (tan x) 1))))) * * * * [misc]progress: [ 70 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 730 * [exit]simplify: Simplified to (/ 1 (hypot 1 (tan x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (hypot 1 (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 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 1058 * * [misc]simplify: Extracting #5: cost 0 inf + 2843 * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (hypot 1 (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (hypot 1 (tan x))) (/ (- 1 (* (tan x) (tan x))) (hypot 1 (tan x))))) * * * * [misc]progress: [ 71 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 906 * * [misc]simplify: Extracting #5: cost 0 inf + 2746 * * [misc]simplify: Extracting #6: cost 0 inf + 2691 * [exit]simplify: Simplified to (/ (- 1 (* (tan x) (tan x))) (fma (tan x) (tan x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- 1 (* (tan x) (tan x))) (fma (tan x) (tan x) 1)))) * * * * [misc]progress: [ 72 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 109 ] 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) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 618 * [exit]simplify: Simplified to (cbrt (fma (tan x) (tan x) 1)) * [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 (fma (tan x) (tan x) 1)))) * * * * [misc]progress: [ 76 / 109 ] 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 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 538 * [exit]simplify: Simplified to (hypot 1 (tan x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- 1 (* (tan x) (tan x))) (sqrt (+ 1 (* (tan x) (tan x))))) (hypot 1 (tan x)))) * * * * [misc]progress: [ 77 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* (tan x) (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 386 * [exit]simplify: Simplified to (fma (tan x) (tan x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- 1 (* (tan x) (tan x))) 1) (fma (tan x) (tan x) 1))) * * * * [misc]progress: [ 78 / 109 ] 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) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 1277 * [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: [ 79 / 109 ] 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) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 940 * [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: [ 80 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 109 ] 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 (27 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 2 * * [misc]simplify: Extracting #3: cost 32 inf + 4102 * * [misc]simplify: Extracting #4: cost 3 inf + 9973 * * [misc]simplify: Extracting #5: cost 0 inf + 10680 * [exit]simplify: Simplified to (- (fma (* (tan x) (tan x)) (* (tan x) (tan x)) 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))) (- (fma (* (tan x) (tan x)) (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) * * * * [misc]progress: [ 82 / 109 ] 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) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 723 * [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: [ 83 / 109 ] 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 (78 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 4 * * [misc]simplify: Extracting #4: cost 13 inf + 6 * * [misc]simplify: Extracting #5: cost 4 inf + 2297 * * [misc]simplify: Extracting #6: cost 0 inf + 2903 * * [misc]simplify: Extracting #7: cost 0 inf + 2575 * * [misc]simplify: Extracting #8: cost 0 inf + 2535 * [exit]simplify: Simplified to (- 1 (* (* (tan x) (* (tan x) (tan x))) (* (tan x) (* (tan x) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (* (* (tan x) (* (tan x) (tan x))) (* (tan x) (* (tan x) (tan x))))) (* (+ 1 (* (tan x) (tan x))) (+ (* 1 1) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1 (* (tan x) (tan x)))))))) * * * * [misc]progress: [ 84 / 109 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1197 * * [misc]simplify: Extracting #4: cost 0 inf + 1680 * * [misc]simplify: Extracting #5: cost 0 inf + 1549 * [exit]simplify: Simplified to (- 1 (* (* (tan x) (tan x)) (* (tan x) (tan x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (* (* (tan x) (tan x)) (* (tan x) (tan x)))) (* (+ 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))))) * * * * [misc]progress: [ 85 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 109 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 3 * * [misc]simplify: Extracting #3: cost 4 inf + 1087 * * [misc]simplify: Extracting #4: cost 0 inf + 2688 * [exit]simplify: Simplified to (fma 2/3 (pow x 4) (fma 17/45 (pow x 6) (* x x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (fma 2/3 (pow x 4) (fma 17/45 (pow x 6) (* x x)))))) * * * * [misc]progress: [ 99 / 109 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 225 * * [misc]simplify: Extracting #5: cost 1 inf + 1291 * * [misc]simplify: Extracting #6: cost 0 inf + 1452 * [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: [ 100 / 109 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 225 * * [misc]simplify: Extracting #5: cost 1 inf + 1291 * * [misc]simplify: Extracting #6: cost 0 inf + 1452 * [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: [ 101 / 109 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 3 * * [misc]simplify: Extracting #3: cost 4 inf + 1087 * * [misc]simplify: Extracting #4: cost 0 inf + 2688 * [exit]simplify: Simplified to (fma 2/3 (pow x 4) (fma 17/45 (pow x 6) (* x x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (- 1 (fma 2/3 (pow x 4) (fma 17/45 (pow x 6) (* x x)))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 102 / 109 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 225 * * [misc]simplify: Extracting #5: cost 1 inf + 1291 * * [misc]simplify: Extracting #6: cost 0 inf + 1452 * [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: [ 103 / 109 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 225 * * [misc]simplify: Extracting #5: cost 1 inf + 1291 * * [misc]simplify: Extracting #6: cost 0 inf + 1452 * [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: [ 104 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/3 (pow x 4)) 1) (* 2 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 25 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 46 * * [misc]simplify: Extracting #3: cost 11 inf + 1234 * * [misc]simplify: Extracting #4: cost 1 inf + 4112 * * [misc]simplify: Extracting #5: cost 0 inf + 4405 * [exit]simplify: Simplified to (fma (* x -2) x (fma 2/3 (pow x 4) 1)) * [misc]simplify: Simplified (2) to (λ (x) (fma (* x -2) x (fma 2/3 (pow x 4) 1))) * * * * [misc]progress: [ 105 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) * * [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 (66 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 92 inf + 0 * * [misc]simplify: Extracting #3: cost 170 inf + 1 * * [misc]simplify: Extracting #4: cost 197 inf + 549 * * [misc]simplify: Extracting #5: cost 116 inf + 21490 * * [misc]simplify: Extracting #6: cost 5 inf + 51187 * * [misc]simplify: Extracting #7: cost 0 inf + 52712 * [exit]simplify: Simplified to (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (fma (/ (sin x) (cos x)) (/ (sin x) (cos x)) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (fma (/ (sin x) (cos x)) (/ (sin x) (cos x)) 1))) * * * * [misc]progress: [ 106 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) * * [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 (66 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 92 inf + 0 * * [misc]simplify: Extracting #3: cost 170 inf + 1 * * [misc]simplify: Extracting #4: cost 197 inf + 549 * * [misc]simplify: Extracting #5: cost 116 inf + 21490 * * [misc]simplify: Extracting #6: cost 5 inf + 51187 * * [misc]simplify: Extracting #7: cost 0 inf + 52712 * [exit]simplify: Simplified to (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (fma (/ (sin x) (cos x)) (/ (sin x) (cos x)) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (fma (/ (sin x) (cos x)) (/ (sin x) (cos x)) 1))) * * * * [misc]progress: [ 107 / 109 ] 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 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 126 * * [misc]simplify: Extracting #3: cost 15 inf + 622 * * [misc]simplify: Extracting #4: cost 4 inf + 3258 * * [misc]simplify: Extracting #5: cost 0 inf + 4532 * [exit]simplify: Simplified to (- 1 (fma 2/3 (pow x 4) (* x x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (fma 2/3 (pow x 4) (* x x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 108 / 109 ] 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 (67 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 64 * * [misc]simplify: Extracting #5: cost 7 inf + 2116 * * [misc]simplify: Extracting #6: cost 0 inf + 3584 * * [misc]simplify: Extracting #7: cost 0 inf + 3544 * [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: [ 109 / 109 ] 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 (67 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 64 * * [misc]simplify: Extracting #5: cost 7 inf + 2116 * * [misc]simplify: Extracting #6: cost 0 inf + 3584 * * [misc]simplify: Extracting #7: cost 0 inf + 3544 * [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 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 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin x) 2) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]taylor: Taking taylor expansion of (pow (sin x) 2) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 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 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (* 1/120 1))))) 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 (pow (sin (/ 1 x)) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 x)) 2) 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 (pow (sin (/ 1 x)) 2) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (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 (pow (sin (/ 1 (- x))) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 (- x))) 2) 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 (pow (sin (/ 1 (- x))) 2) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (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: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin x) 2) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]taylor: Taking taylor expansion of (pow (sin x) 2) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 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 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (* 1/120 1))))) 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 (pow (sin (/ 1 x)) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 x)) 2) 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 (pow (sin (/ 1 x)) 2) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (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 (pow (sin (/ 1 (- x))) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 (- x))) 2) 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 (pow (sin (/ 1 (- x))) 2) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (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 2 1 2) * [misc]approximate: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos x) 2) 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 (pow (cos x) 2) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 (- 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 (+ (* 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 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 (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) * [misc]approximate: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 x)) 2) 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 (pow (cos (/ 1 x)) 2) 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]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 (pow (cos (/ 1 (- x))) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- x))) 2) 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 (pow (cos (/ 1 (- x))) 2) 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]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: [ 4 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos x) 2) 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 (pow (cos x) 2) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 (- 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 (+ (* 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 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 (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) * [misc]approximate: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 x)) 2) 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 (pow (cos (/ 1 x)) 2) 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]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 (pow (cos (/ 1 (- x))) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- x))) 2) 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 (pow (cos (/ 1 (- x))) 2) 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]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: simplifying candidates * * * * [misc]progress: [ 1 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sin x)) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 366 * [exit]simplify: Simplified to (* (log (sin x)) 2) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (exp (* (log (sin x)) 2)) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 4 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) (* 1 2)) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 65 * * [misc]simplify: Extracting #4: cost 0 inf + 568 * [exit]simplify: Simplified to (* (cbrt (sin x)) (sin x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (* (* (cbrt (sin x)) (sin x)) (pow (cbrt (sin x)) 2)) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 7 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (sin x)) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 2 inf + 2 * * [misc]simplify: Extracting #3: cost 1 inf + 63 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (* (sin x) (pow (sqrt (sin x)) 2)) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 8 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (* 1 (pow (sin x) 2)) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sin x)) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 366 * [exit]simplify: Simplified to (* (log (sin x)) 2) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (exp (* (log (sin x)) 2)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) (* 1 2)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 65 * * [misc]simplify: Extracting #4: cost 0 inf + 568 * [exit]simplify: Simplified to (* (cbrt (sin x)) (sin x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (* (* (cbrt (sin x)) (sin x)) (pow (cbrt (sin x)) 2)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (sin x)) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 2 inf + 2 * * [misc]simplify: Extracting #3: cost 1 inf + 63 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (* (sin x) (pow (sqrt (sin x)) 2)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (* 1 (pow (sin x) 2)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cos x)) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 366 * [exit]simplify: Simplified to (* (log (cos x)) 2) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (exp (* (log (cos x)) 2))) 1))) * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) (* 1 2))) 1))) * * * * [misc]progress: [ 38 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 65 * * [misc]simplify: Extracting #4: cost 0 inf + 568 * [exit]simplify: Simplified to (* (cbrt (cos x)) (cos x)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (* (cbrt (cos x)) (cos x)) (pow (cbrt (cos x)) 2))) 1))) * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (cos x)) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 2 inf + 2 * * [misc]simplify: Extracting #3: cost 1 inf + 63 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (cos x) (pow (sqrt (cos x)) 2))) 1))) * * * * [misc]progress: [ 40 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* 1 (pow (cos x) 2))) 1))) * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cos x)) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 366 * [exit]simplify: Simplified to (* (log (cos x)) 2) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (exp (* (log (cos x)) 2)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) (* 1 2)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 65 * * [misc]simplify: Extracting #4: cost 0 inf + 568 * [exit]simplify: Simplified to (* (cbrt (cos x)) (cos x)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (* (* (cbrt (cos x)) (cos x)) (pow (cbrt (cos x)) 2)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (cos x)) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 2 inf + 2 * * [misc]simplify: Extracting #3: cost 1 inf + 63 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (* (cos x) (pow (sqrt (cos x)) 2)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (* 1 (pow (cos x) 2)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 76 ] 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 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 4 * * [misc]simplify: Extracting #3: cost 15 inf + 382 * * [misc]simplify: Extracting #4: cost 3 inf + 4118 * * [misc]simplify: Extracting #5: cost 0 inf + 5526 * [exit]simplify: Simplified to (fma 2/45 (pow x 6) (fma -1/3 (pow x 4) (* x x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (fma 2/45 (pow x 6) (fma -1/3 (pow x 4) (* x x))) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (* (sin x) (sin x)) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (* (sin x) (sin x)) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 68 / 76 ] 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 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 4 * * [misc]simplify: Extracting #3: cost 15 inf + 382 * * [misc]simplify: Extracting #4: cost 3 inf + 4118 * * [misc]simplify: Extracting #5: cost 0 inf + 5526 * [exit]simplify: Simplified to (fma 2/45 (pow x 6) (fma -1/3 (pow x 4) (* x x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (fma 2/45 (pow x 6) (fma -1/3 (pow x 4) (* x x))) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (* (sin x) (sin x)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (* (sin x) (sin x)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 3 * * [misc]simplify: Extracting #3: cost 9 inf + 1242 * * [misc]simplify: Extracting #4: cost 1 inf + 3522 * * [misc]simplify: Extracting #5: cost 0 inf + 3870 * [exit]simplify: Simplified to (fma 1/3 (pow x 4) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (fma 1/3 (pow x 4) (- 1 (* x x)))) 1))) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (cos x) (cos x))) 1))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (cos x) (cos x))) 1))) * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 3 * * [misc]simplify: Extracting #3: cost 9 inf + 1242 * * [misc]simplify: Extracting #4: cost 1 inf + 3522 * * [misc]simplify: Extracting #5: cost 0 inf + 3870 * [exit]simplify: Simplified to (fma 1/3 (pow x 4) (- 1 (* x x))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (fma 1/3 (pow x 4) (- 1 (* x x))))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (* (cos x) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (* (cos x) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1))) * * * [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 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin x) 2) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]taylor: Taking taylor expansion of (pow (sin x) 2) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 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 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (* 1/120 1))))) 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 (pow (sin (/ 1 x)) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 x)) 2) 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 (pow (sin (/ 1 x)) 2) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (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 (pow (sin (/ 1 (- x))) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 (- x))) 2) 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 (pow (sin (/ 1 (- x))) 2) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (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: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (pow (sin x) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin x) 2) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]taylor: Taking taylor expansion of (pow (sin x) 2) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 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 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (* 1/120 1))))) 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 (pow (sin (/ 1 x)) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 x)) 2) 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 (pow (sin (/ 1 x)) 2) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (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 (pow (sin (/ 1 (- x))) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 (- x))) 2) 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 (pow (sin (/ 1 (- x))) 2) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (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 2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos x) 2) 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 (pow (cos x) 2) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 (- 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 (+ (* 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 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 (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) * [misc]approximate: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 x)) 2) 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 (pow (cos (/ 1 x)) 2) 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]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 (pow (cos (/ 1 (- x))) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- x))) 2) 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 (pow (cos (/ 1 (- x))) 2) 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]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: [ 4 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (pow (cos x) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos x) 2) 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 (pow (cos x) 2) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 (- 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 (+ (* 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 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 (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) * [misc]approximate: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 x)) 2) 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 (pow (cos (/ 1 x)) 2) 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]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 (pow (cos (/ 1 (- x))) 2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- x))) 2) 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 (pow (cos (/ 1 (- x))) 2) 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]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: simplifying candidates * * * * [misc]progress: [ 1 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sin x)) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 366 * [exit]simplify: Simplified to (* (log (sin x)) 2) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (exp (* (log (sin x)) 2)) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 4 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) (* 1 2)) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 65 * * [misc]simplify: Extracting #4: cost 0 inf + 568 * [exit]simplify: Simplified to (* (cbrt (sin x)) (sin x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (* (* (cbrt (sin x)) (sin x)) (pow (cbrt (sin x)) 2)) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 7 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (sin x)) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 2 inf + 2 * * [misc]simplify: Extracting #3: cost 1 inf + 63 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (* (sin x) (pow (sqrt (sin x)) 2)) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 8 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (* 1 (pow (sin x) 2)) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sin x)) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 366 * [exit]simplify: Simplified to (* (log (sin x)) 2) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (exp (* (log (sin x)) 2)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) (* 1 2)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (sin x)) (cbrt (sin x))) 2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 65 * * [misc]simplify: Extracting #4: cost 0 inf + 568 * [exit]simplify: Simplified to (* (cbrt (sin x)) (sin x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (* (* (cbrt (sin x)) (sin x)) (pow (cbrt (sin x)) 2)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (sin x)) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 2 inf + 2 * * [misc]simplify: Extracting #3: cost 1 inf + 63 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (* (sin x) (pow (sqrt (sin x)) 2)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (* 1 (pow (sin x) 2)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cos x)) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 366 * [exit]simplify: Simplified to (* (log (cos x)) 2) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (exp (* (log (cos x)) 2))))) 1))) * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) (* 1 2))))) 1))) * * * * [misc]progress: [ 38 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 65 * * [misc]simplify: Extracting #4: cost 0 inf + 568 * [exit]simplify: Simplified to (* (cbrt (cos x)) (cos x)) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (* (* (cbrt (cos x)) (cos x)) (pow (cbrt (cos x)) 2))))) 1))) * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (cos x)) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 2 inf + 2 * * [misc]simplify: Extracting #3: cost 1 inf + 63 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (* (cos x) (pow (sqrt (cos x)) 2))))) 1))) * * * * [misc]progress: [ 40 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (* 1 (pow (cos x) 2))))) 1))) * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cos x)) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 366 * [exit]simplify: Simplified to (* (log (cos x)) 2) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (exp (* (log (cos x)) 2)))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) (* 1 2)))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (cos x)) (cbrt (cos x))) 2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 3 inf + 65 * * [misc]simplify: Extracting #4: cost 0 inf + 568 * [exit]simplify: Simplified to (* (cbrt (cos x)) (cos x)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (* (* (cbrt (cos x)) (cos x)) (pow (cbrt (cos x)) 2)))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (cos x)) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 2 inf + 2 * * [misc]simplify: Extracting #3: cost 1 inf + 63 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (* (cos x) (pow (sqrt (cos x)) 2)))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (* 1 (pow (cos x) 2)))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 76 ] 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 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 4 * * [misc]simplify: Extracting #3: cost 15 inf + 382 * * [misc]simplify: Extracting #4: cost 3 inf + 4118 * * [misc]simplify: Extracting #5: cost 0 inf + 5526 * [exit]simplify: Simplified to (fma 2/45 (pow x 6) (fma -1/3 (pow x 4) (* x x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (fma 2/45 (pow x 6) (fma -1/3 (pow x 4) (* x x))) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (* (sin x) (sin x)) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (* (sin x) (sin x)) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 68 / 76 ] 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 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 4 * * [misc]simplify: Extracting #3: cost 15 inf + 382 * * [misc]simplify: Extracting #4: cost 3 inf + 4118 * * [misc]simplify: Extracting #5: cost 0 inf + 5526 * [exit]simplify: Simplified to (fma 2/45 (pow x 6) (fma -1/3 (pow x 4) (* x x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (fma 2/45 (pow x 6) (fma -1/3 (pow x 4) (* x x))) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (* (sin x) (sin x)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (sin x) (sin x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (* (sin x) (sin x)) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 3 * * [misc]simplify: Extracting #3: cost 9 inf + 1242 * * [misc]simplify: Extracting #4: cost 1 inf + 3522 * * [misc]simplify: Extracting #5: cost 0 inf + 3870 * [exit]simplify: Simplified to (fma 1/3 (pow x 4) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (fma 1/3 (pow x 4) (- 1 (* x x)))))) 1))) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (* (cos x) (cos x))))) 1))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (expm1 (log1p (* (cos x) (cos x))))) 1))) * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 3 * * [misc]simplify: Extracting #3: cost 9 inf + 1242 * * [misc]simplify: Extracting #4: cost 1 inf + 3522 * * [misc]simplify: Extracting #5: cost 0 inf + 3870 * [exit]simplify: Simplified to (fma 1/3 (pow x 4) (- 1 (* x x))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (fma 1/3 (pow x 4) (- 1 (* x x))))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (* (cos x) (cos x)))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos x) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 164 * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (/ (pow (sin x) 2) (* (cos x) (cos x)))) (+ (/ (pow (sin x) 2) (expm1 (log1p (pow (cos x) 2)))) 1))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [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) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x)))) in x * [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) (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) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x)))) in x * [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) (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) 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 (+ (* -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 (* 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 (+ 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 (+ (* -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 (- (+ (* 2/3 (pow x 4)) 1) (* 2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ (* (tan (/ 1 x)) (sin (/ 1 x))) (cos (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x))))) in x * [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)) (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 (- (/ (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)) (sin (/ 1 x))) (cos (/ 1 x)))) (+ 1 (* (tan (/ 1 x)) (tan (/ 1 x))))) in x * [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)) (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 (- (/ (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 (+ (* (/ (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 (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 (+ (* (/ (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 (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 (+ (* (/ (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 (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 (+ (* (/ (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 (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 (+ (* (/ (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 (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 (+ (* (/ (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 (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))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ (* (tan (/ 1 (- x))) (sin (/ 1 (- x)))) (cos (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) in x * [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))) (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 (- (/ (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))) (sin (/ 1 (- x)))) (cos (/ 1 (- x))))) (+ 1 (* (tan (/ 1 (- x))) (tan (/ 1 (- x)))))) in x * [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))) (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 (- (/ (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 (+ (* (/ (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 (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 (+ (* (/ (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 (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 (+ (* (/ (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 (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 (+ (* (/ (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 (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 (+ (* (/ (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 (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 (+ (* (/ (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 (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))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) * * * * [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) * [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 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 97 * [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 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (pow (tan x) 2)))) * * * * [misc]progress: [ 4 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan x) (tan x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 233 * [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: [ 5 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 97 * [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: [ 7 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (tan x)) (log (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 469 * [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: [ 9 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 104 ] 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 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 2 * * [misc]simplify: Extracting #3: cost 6 inf + 5 * * [misc]simplify: Extracting #4: cost 0 inf + 1021 * [exit]simplify: Simplified to (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (cbrt (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))))))) * * * * [misc]progress: [ 12 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 163 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 163 * [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: [ 16 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 273 * [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: [ 18 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 233 * [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: [ 19 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (tan x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 97 * [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: [ 20 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan x)) (cbrt (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 489 * [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: [ 21 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 233 * [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: [ 22 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [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: [ 24 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (tan x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 3 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 354 * [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: [ 25 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (/ (* (tan x) (sin x)) (cos x)))) (log (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 63 * * [misc]simplify: Extracting #6: cost 10 inf + 2253 * * [misc]simplify: Extracting #7: cost 0 inf + 5197 * [exit]simplify: Simplified to (- (log (- 1 (/ (tan x) (/ (cos x) (sin x))))) (log (fma (tan x) (tan x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (- 1 (/ (tan x) (/ (cos x) (sin x))))) (log (fma (tan x) (tan x) 1))))) * * * * [misc]progress: [ 30 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 (/ (* (tan x) (sin x)) (cos x))) (- 1 (/ (* (tan x) (sin x)) (cos x)))) (- 1 (/ (* (tan x) (sin x)) (cos x)))) (* (* (+ 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 39 inf + 0 * * [misc]simplify: Extracting #2: cost 208 inf + 2 * * [misc]simplify: Extracting #3: cost 377 inf + 2 * * [misc]simplify: Extracting #4: cost 436 inf + 3597 * * [misc]simplify: Extracting #5: cost 304 inf + 36563 * * [misc]simplify: Extracting #6: cost 50 inf + 145820 * * [misc]simplify: Extracting #7: cost 0 inf + 172060 * * [misc]simplify: Extracting #8: cost 0 inf + 171565 * [exit]simplify: Simplified to (* (/ (- 1 (/ (tan x) (/ (cos x) (sin x)))) (fma (tan x) (tan x) 1)) (* (/ (- 1 (/ (tan x) (/ (cos x) (sin x)))) (fma (tan x) (tan x) 1)) (/ (- 1 (/ (tan x) (/ (cos x) (sin x)))) (fma (tan x) (tan x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (/ (- 1 (/ (tan x) (/ (cos x) (sin x)))) (fma (tan x) (tan x) 1)) (* (/ (- 1 (/ (tan x) (/ (cos x) (sin x)))) (fma (tan x) (tan x) 1)) (/ (- 1 (/ (tan x) (/ (cos x) (sin x)))) (fma (tan x) (tan x) 1)))))) * * * * [misc]progress: [ 33 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 104 ] 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) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 578 * [exit]simplify: Simplified to (/ 1 (fma (tan x) (tan x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (- (/ 1 (fma (tan x) (tan x) 1)) (/ (/ (* (tan x) (sin x)) (cos x)) (+ 1 (* (tan x) (tan x)))))) * * * * [misc]progress: [ 38 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x))))) (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 63 * * [misc]simplify: Extracting #6: cost 16 inf + 2234 * * [misc]simplify: Extracting #7: cost 5 inf + 5744 * * [misc]simplify: Extracting #8: cost 0 inf + 8864 * * [misc]simplify: Extracting #9: cost 0 inf + 8824 * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) (cbrt (fma (tan x) (tan x) 1))) (/ (cbrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) (cbrt (fma (tan x) (tan x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) (cbrt (fma (tan x) (tan x) 1))) (/ (cbrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) (cbrt (fma (tan x) (tan x) 1)))) (/ (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 63 * * [misc]simplify: Extracting #6: cost 7 inf + 2660 * * [misc]simplify: Extracting #7: cost 0 inf + 4975 * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (/ (sin x) (cos x)) (tan x)))) (cbrt (fma (tan x) (tan x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) (cbrt (fma (tan x) (tan x) 1))) (/ (cbrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) (cbrt (fma (tan x) (tan x) 1)))) (/ (cbrt (- 1 (* (/ (sin x) (cos x)) (tan x)))) (cbrt (fma (tan x) (tan x) 1))))) * * * * [misc]progress: [ 39 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x))))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 63 * * [misc]simplify: Extracting #5: cost 15 inf + 1525 * * [misc]simplify: Extracting #6: cost 1 inf + 5824 * * [misc]simplify: Extracting #7: cost 0 inf + 6336 * [exit]simplify: Simplified to (/ (* (cbrt (- 1 (/ (sin x) (/ (cos x) (tan x))))) (cbrt (- 1 (/ (sin x) (/ (cos x) (tan x)))))) (hypot 1 (tan x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- 1 (/ (sin x) (/ (cos x) (tan x))))) (cbrt (- 1 (/ (sin x) (/ (cos x) (tan x)))))) (hypot 1 (tan x))) (/ (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 63 * * [misc]simplify: Extracting #5: cost 13 inf + 1294 * * [misc]simplify: Extracting #6: cost 0 inf + 4815 * [exit]simplify: Simplified to (/ (cbrt (- 1 (* (tan x) (/ (sin x) (cos x))))) (hypot 1 (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- 1 (/ (sin x) (/ (cos x) (tan x))))) (cbrt (- 1 (/ (sin x) (/ (cos x) (tan x)))))) (hypot 1 (tan x))) (/ (cbrt (- 1 (* (tan x) (/ (sin x) (cos x))))) (hypot 1 (tan x))))) * * * * [misc]progress: [ 40 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 647 * * [misc]simplify: Extracting #6: cost 4 inf + 3512 * * [misc]simplify: Extracting #7: cost 0 inf + 4777 * [exit]simplify: Simplified to (* (cbrt (- 1 (* (/ (sin x) (cos x)) (tan x)))) (cbrt (- 1 (* (/ (sin x) (cos x)) (tan x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- 1 (* (/ (sin x) (cos x)) (tan x)))) (cbrt (- 1 (* (/ (sin x) (cos x)) (tan x))))) (/ (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (+ 1 (* (tan x) (tan x)))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 63 * * [misc]simplify: Extracting #5: cost 12 inf + 1413 * * [misc]simplify: Extracting #6: cost 1 inf + 4151 * * [misc]simplify: Extracting #7: cost 0 inf + 4663 * [exit]simplify: Simplified to (/ (cbrt (- 1 (/ (sin x) (/ (cos x) (tan x))))) (fma (tan x) (tan x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (- 1 (* (/ (sin x) (cos x)) (tan x)))) (cbrt (- 1 (* (/ (sin x) (cos x)) (tan x))))) (/ (cbrt (- 1 (/ (sin x) (/ (cos x) (tan x))))) (fma (tan x) (tan x) 1)))) * * * * [misc]progress: [ 41 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 63 * * [misc]simplify: Extracting #6: cost 9 inf + 2941 * * [misc]simplify: Extracting #7: cost 1 inf + 5558 * * [misc]simplify: Extracting #8: cost 0 inf + 5759 * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (sin x) (/ (tan x) (cos x))))) (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (* (sin x) (/ (tan x) (cos x))))) (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) (/ (sqrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 63 * * [misc]simplify: Extracting #6: cost 7 inf + 2660 * * [misc]simplify: Extracting #7: cost 0 inf + 4895 * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (/ (sin x) (cos x)) (tan x)))) (cbrt (fma (tan x) (tan x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- 1 (* (sin x) (/ (tan x) (cos x))))) (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) (/ (sqrt (- 1 (* (/ (sin x) (cos x)) (tan x)))) (cbrt (fma (tan x) (tan x) 1))))) * * * * [misc]progress: [ 42 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 63 * * [misc]simplify: Extracting #5: cost 13 inf + 1294 * * [misc]simplify: Extracting #6: cost 0 inf + 4735 * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (/ (sin x) (cos x))))) (hypot 1 (tan x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (/ (sin x) (cos x))))) (hypot 1 (tan x))) (/ (sqrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 63 * * [misc]simplify: Extracting #5: cost 13 inf + 1294 * * [misc]simplify: Extracting #6: cost 0 inf + 4735 * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (tan x) (/ (sin x) (cos x))))) (hypot 1 (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- 1 (* (tan x) (/ (sin x) (cos x))))) (hypot 1 (tan x))) (/ (sqrt (- 1 (* (tan x) (/ (sin x) (cos x))))) (hypot 1 (tan x))))) * * * * [misc]progress: [ 43 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 124 * * [misc]simplify: Extracting #5: cost 0 inf + 3823 * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) (/ (sqrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (+ 1 (* (tan x) (tan x)))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (+ 1 (* (tan x) (tan x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 63 * * [misc]simplify: Extracting #5: cost 12 inf + 1413 * * [misc]simplify: Extracting #6: cost 1 inf + 4111 * * [misc]simplify: Extracting #7: cost 0 inf + 4583 * [exit]simplify: Simplified to (/ (sqrt (- 1 (/ (sin x) (/ (cos x) (tan x))))) (fma (tan x) (tan x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) (/ (sqrt (- 1 (/ (sin x) (/ (cos x) (tan x))))) (fma (tan x) (tan x) 1)))) * * * * [misc]progress: [ 44 / 104 ] 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) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 1474 * [exit]simplify: Simplified to (/ 1 (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (cbrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (cbrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 53 inf + 0 * * [misc]simplify: Extracting #3: cost 52 inf + 2 * * [misc]simplify: Extracting #4: cost 37 inf + 2604 * * [misc]simplify: Extracting #5: cost 6 inf + 13686 * * [misc]simplify: Extracting #6: cost 0 inf + 16358 * [exit]simplify: Simplified to (/ (- 1 (* (/ (tan x) (cos x)) (sin x))) (cbrt (fma (tan x) (tan x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (fma (tan x) (tan x) 1)) (cbrt (fma (tan x) (tan x) 1)))) (/ (- 1 (* (/ (tan x) (cos x)) (sin x))) (cbrt (fma (tan x) (tan x) 1))))) * * * * [misc]progress: [ 45 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 730 * [exit]simplify: Simplified to (/ 1 (hypot 1 (tan x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (hypot 1 (tan x))) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (sqrt (+ 1 (* (tan x) (tan x))))))) * [enter]simplify: Simplifying (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (sqrt (+ 1 (* (tan x) (tan x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 53 inf + 0 * * [misc]simplify: Extracting #3: cost 52 inf + 2 * * [misc]simplify: Extracting #4: cost 19 inf + 7780 * * [misc]simplify: Extracting #5: cost 0 inf + 13798 * [exit]simplify: Simplified to (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (hypot 1 (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (hypot 1 (tan x))) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (hypot 1 (tan x))))) * * * * [misc]progress: [ 46 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x)))))) * [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 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 86 inf + 0 * * [misc]simplify: Extracting #3: cost 124 inf + 2 * * [misc]simplify: Extracting #4: cost 96 inf + 6375 * * [misc]simplify: Extracting #5: cost 15 inf + 26471 * * [misc]simplify: Extracting #6: cost 0 inf + 31648 * [exit]simplify: Simplified to (/ (- 1 (* (/ (tan x) (cos x)) (sin x))) (fma (tan x) (tan x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- 1 (* (/ (tan x) (cos x)) (sin x))) (fma (tan x) (tan x) 1)))) * * * * [misc]progress: [ 47 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 104 ] 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) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 618 * [exit]simplify: Simplified to (cbrt (fma (tan x) (tan x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (* (cbrt (+ 1 (* (tan x) (tan x)))) (cbrt (+ 1 (* (tan x) (tan x)))))) (cbrt (fma (tan x) (tan x) 1)))) * * * * [misc]progress: [ 51 / 104 ] 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 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 538 * [exit]simplify: Simplified to (hypot 1 (tan x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (sqrt (+ 1 (* (tan x) (tan x))))) (hypot 1 (tan x)))) * * * * [misc]progress: [ 52 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* (tan x) (tan x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 386 * [exit]simplify: Simplified to (fma (tan x) (tan x) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) 1) (fma (tan x) (tan x) 1))) * * * * [misc]progress: [ 53 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 285 * * [misc]simplify: Extracting #6: cost 11 inf + 1281 * * [misc]simplify: Extracting #7: cost 3 inf + 3210 * * [misc]simplify: Extracting #8: cost 0 inf + 4320 * [exit]simplify: Simplified to (* (cbrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) (cbrt (- 1 (* (/ (tan x) (cos x)) (sin x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) (cbrt (- 1 (* (/ (tan x) (cos x)) (sin x))))) (/ (+ 1 (* (tan x) (tan x))) (cbrt (- 1 (/ (* (tan x) (sin x)) (cos x))))))) * * * * [misc]progress: [ 54 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (/ (* (tan x) (sin x)) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 63 * * [misc]simplify: Extracting #5: cost 10 inf + 1346 * * [misc]simplify: Extracting #6: cost 1 inf + 3446 * * [misc]simplify: Extracting #7: cost 0 inf + 3823 * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (- 1 (* (/ (tan x) (cos x)) (sin x)))) (/ (+ 1 (* (tan x) (tan x))) (sqrt (- 1 (/ (* (tan x) (sin x)) (cos x))))))) * * * * [misc]progress: [ 55 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 104 ] 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 (27 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 2 * * [misc]simplify: Extracting #3: cost 32 inf + 4102 * * [misc]simplify: Extracting #4: cost 3 inf + 9973 * * [misc]simplify: Extracting #5: cost 0 inf + 10680 * [exit]simplify: Simplified to (- (fma (* (tan x) (tan x)) (* (tan x) (tan x)) 1) (* (tan x) (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ (pow 1 3) (pow (* (tan x) (tan x)) 3))) (- (fma (* (tan x) (tan x)) (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) * * * * [misc]progress: [ 57 / 104 ] 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) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 723 * [exit]simplify: Simplified to (- 1 (* (tan x) (tan x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (- (* 1 1) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (- 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 58 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (/ (* (tan x) (sin x)) (cos x)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 169 inf + 1 * * [misc]simplify: Extracting #3: cost 296 inf + 2 * * [misc]simplify: Extracting #4: cost 247 inf + 15478 * * [misc]simplify: Extracting #5: cost 52 inf + 86148 * * [misc]simplify: Extracting #6: cost 1 inf + 103175 * * [misc]simplify: Extracting #7: cost 0 inf + 103147 * [exit]simplify: Simplified to (- 1 (* (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x))) (/ (* (tan x) (sin x)) (cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (* (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x))) (/ (* (tan x) (sin x)) (cos x)))) (* (+ 1 (* (tan x) (tan x))) (+ (* 1 1) (+ (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x))) (* 1 (/ (* (tan x) (sin x)) (cos x)))))))) * * * * [misc]progress: [ 59 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 91 inf + 1 * * [misc]simplify: Extracting #3: cost 114 inf + 1 * * [misc]simplify: Extracting #4: cost 100 inf + 2230 * * [misc]simplify: Extracting #5: cost 26 inf + 24235 * * [misc]simplify: Extracting #6: cost 0 inf + 32071 * * [misc]simplify: Extracting #7: cost 0 inf + 32031 * [exit]simplify: Simplified to (- 1 (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (* (/ (* (tan x) (sin x)) (cos x)) (/ (* (tan x) (sin x)) (cos x)))) (* (+ 1 (* (tan x) (tan x))) (+ 1 (/ (* (tan x) (sin x)) (cos x)))))) * * * * [misc]progress: [ 60 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan x) (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 3 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 354 * [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: [ 63 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 104 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 791 * [exit]simplify: Simplified to (+ (log (tan x)) (log (sin x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (exp (+ (log (tan x)) (log (sin x)))) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 65 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 104 ] 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 (88 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1954 * * [misc]simplify: Extracting #4: cost 0 inf + 2997 * [exit]simplify: Simplified to (* (* (tan x) (sin x)) (* (* (tan x) (sin x)) (* (tan x) (sin x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (/ (- 1 (/ (cbrt (* (* (tan x) (sin x)) (* (* (tan x) (sin x)) (* (tan x) (sin x))))) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 68 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 203 * [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: [ 73 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 163 * [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: [ 74 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [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: [ 75 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan x)) (cbrt (tan x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 489 * [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: [ 76 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 233 * [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: [ 77 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 163 * [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: [ 79 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 104 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 3 * * [misc]simplify: Extracting #3: cost 4 inf + 1087 * * [misc]simplify: Extracting #4: cost 0 inf + 2688 * [exit]simplify: Simplified to (fma 2/3 (pow x 4) (fma 17/45 (pow x 6) (* x x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (fma 2/3 (pow x 4) (fma 17/45 (pow x 6) (* x x)))))) * * * * [misc]progress: [ 94 / 104 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 225 * * [misc]simplify: Extracting #5: cost 1 inf + 1291 * * [misc]simplify: Extracting #6: cost 0 inf + 1452 * [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: [ 95 / 104 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 225 * * [misc]simplify: Extracting #5: cost 1 inf + 1291 * * [misc]simplify: Extracting #6: cost 0 inf + 1452 * [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: [ 96 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/3 (pow x 4)) 1) (* 2 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 25 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 46 * * [misc]simplify: Extracting #3: cost 11 inf + 1234 * * [misc]simplify: Extracting #4: cost 1 inf + 4112 * * [misc]simplify: Extracting #5: cost 0 inf + 4405 * [exit]simplify: Simplified to (fma (* x -2) x (fma 2/3 (pow x 4) 1)) * [misc]simplify: Simplified (2) to (λ (x) (fma (* x -2) x (fma 2/3 (pow x 4) 1))) * * * * [misc]progress: [ 97 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) * * [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 (66 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 92 inf + 0 * * [misc]simplify: Extracting #3: cost 170 inf + 1 * * [misc]simplify: Extracting #4: cost 197 inf + 549 * * [misc]simplify: Extracting #5: cost 116 inf + 21490 * * [misc]simplify: Extracting #6: cost 5 inf + 51187 * * [misc]simplify: Extracting #7: cost 0 inf + 52712 * [exit]simplify: Simplified to (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (fma (/ (sin x) (cos x)) (/ (sin x) (cos x)) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (fma (/ (sin x) (cos x)) (/ (sin x) (cos x)) 1))) * * * * [misc]progress: [ 98 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1)) * * [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 (66 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 92 inf + 0 * * [misc]simplify: Extracting #3: cost 170 inf + 1 * * [misc]simplify: Extracting #4: cost 197 inf + 549 * * [misc]simplify: Extracting #5: cost 116 inf + 21490 * * [misc]simplify: Extracting #6: cost 5 inf + 51187 * * [misc]simplify: Extracting #7: cost 0 inf + 52712 * [exit]simplify: Simplified to (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (fma (/ (sin x) (cos x)) (/ (sin x) (cos x)) 1)) * [misc]simplify: Simplified (2) to (λ (x) (/ (- 1 (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (fma (/ (sin x) (cos x)) (/ (sin x) (cos x)) 1))) * * * * [misc]progress: [ 99 / 104 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 3 * * [misc]simplify: Extracting #3: cost 4 inf + 1087 * * [misc]simplify: Extracting #4: cost 0 inf + 2688 * [exit]simplify: Simplified to (fma 1/6 (pow x 4) (fma 31/360 (pow x 6) (* x x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (- 1 (/ (fma 1/6 (pow x 4) (fma 31/360 (pow x 6) (* x x))) (cos x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 100 / 104 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 748 * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (cos 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: [ 101 / 104 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 748 * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (cos 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: [ 102 / 104 ] 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 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 126 * * [misc]simplify: Extracting #3: cost 15 inf + 622 * * [misc]simplify: Extracting #4: cost 4 inf + 3258 * * [misc]simplify: Extracting #5: cost 0 inf + 4532 * [exit]simplify: Simplified to (- 1 (fma 2/3 (pow x 4) (* x x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1 (fma 2/3 (pow x 4) (* x x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]progress: [ 103 / 104 ] 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 (67 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 64 * * [misc]simplify: Extracting #5: cost 7 inf + 2116 * * [misc]simplify: Extracting #6: cost 0 inf + 3584 * * [misc]simplify: Extracting #7: cost 0 inf + 3544 * [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: [ 104 / 104 ] 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 (67 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 64 * * [misc]simplify: Extracting #5: cost 7 inf + 2116 * * [misc]simplify: Extracting #6: cost 0 inf + 3584 * * [misc]simplify: Extracting #7: cost 0 inf + 3544 * [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: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # #) * * * [misc]regime-changes: Trying 4 branch expressions: (x (tan x) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))) * * * * [misc]regimes: Trying to branch on x from (# # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (tan x) from (# # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (tan x) from (# # # # # #) * * * * [misc]regimes: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* (tan x) (tan x)) from (# # # #) * * * * [misc]regimes: Trying to branch on (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) from (# # # # # # # # # # #) * * * [misc]regime: Found split indices: #